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.glyphicon-sound-5-1:before {
content: "\e191";
}
.glyphicon-sound-6-1:before {
content: "\e192";
}
.glyphicon-sound-7-1:before {
content: "\e193";
}
.glyphicon-copyright-mark:before {
content: "\e194";
}
.glyphicon-registration-mark:before {
content: "\e195";
}
.glyphicon-cloud-download:before {
content: "\e197";
}
.glyphicon-cloud-upload:before {
content: "\e198";
}
.glyphicon-tree-conifer:before {
content: "\e199";
}
.glyphicon-tree-deciduous:before {
content: "\e200";
}
.glyphicon-cd:before {
content: "\e201";
}
.glyphicon-save-file:before {
content: "\e202";
}
.glyphicon-open-file:before {
content: "\e203";
}
.glyphicon-level-up:before {
content: "\e204";
}
.glyphicon-copy:before {
content: "\e205";
}
.glyphicon-paste:before {
content: "\e206";
}
.glyphicon-alert:before {
content: "\e209";
}
.glyphicon-equalizer:before {
content: "\e210";
}
.glyphicon-king:before {
content: "\e211";
}
.glyphicon-queen:before {
content: "\e212";
}
.glyphicon-pawn:before {
content: "\e213";
}
.glyphicon-bishop:before {
content: "\e214";
}
.glyphicon-knight:before {
content: "\e215";
}
.glyphicon-baby-formula:before {
content: "\e216";
}
.glyphicon-tent:before {
content: "\26fa";
}
.glyphicon-blackboard:before {
content: "\e218";
}
.glyphicon-bed:before {
content: "\e219";
}
.glyphicon-apple:before {
content: "\f8ff";
}
.glyphicon-erase:before {
content: "\e221";
}
.glyphicon-hourglass:before {
content: "\231b";
}
.glyphicon-lamp:before {
content: "\e223";
}
.glyphicon-duplicate:before {
content: "\e224";
}
.glyphicon-piggy-bank:before {
content: "\e225";
}
.glyphicon-scissors:before {
content: "\e226";
}
.glyphicon-bitcoin:before {
content: "\e227";
}
.glyphicon-btc:before {
content: "\e227";
}
.glyphicon-xbt:before {
content: "\e227";
}
.glyphicon-yen:before {
content: "\00a5";
}
.glyphicon-jpy:before {
content: "\00a5";
}
.glyphicon-ruble:before {
content: "\20bd";
}
.glyphicon-rub:before {
content: "\20bd";
}
.glyphicon-scale:before {
content: "\e230";
}
.glyphicon-ice-lolly:before {
content: "\e231";
}
.glyphicon-ice-lolly-tasted:before {
content: "\e232";
}
.glyphicon-education:before {
content: "\e233";
}
.glyphicon-option-horizontal:before {
content: "\e234";
}
.glyphicon-option-vertical:before {
content: "\e235";
}
.glyphicon-menu-hamburger:before {
content: "\e236";
}
.glyphicon-modal-window:before {
content: "\e237";
}
.glyphicon-oil:before {
content: "\e238";
}
.glyphicon-grain:before {
content: "\e239";
}
.glyphicon-sunglasses:before {
content: "\e240";
}
.glyphicon-text-size:before {
content: "\e241";
}
.glyphicon-text-color:before {
content: "\e242";
}
.glyphicon-text-background:before {
content: "\e243";
}
.glyphicon-object-align-top:before {
content: "\e244";
}
.glyphicon-object-align-bottom:before {
content: "\e245";
}
.glyphicon-object-align-horizontal:before {
content: "\e246";
}
.glyphicon-object-align-left:before {
content: "\e247";
}
.glyphicon-object-align-vertical:before {
content: "\e248";
}
.glyphicon-object-align-right:before {
content: "\e249";
}
.glyphicon-triangle-right:before {
content: "\e250";
}
.glyphicon-triangle-left:before {
content: "\e251";
}
.glyphicon-triangle-bottom:before {
content: "\e252";
}
.glyphicon-triangle-top:before {
content: "\e253";
}
.glyphicon-console:before {
content: "\e254";
}
.glyphicon-superscript:before {
content: "\e255";
}
.glyphicon-subscript:before {
content: "\e256";
}
.glyphicon-menu-left:before {
content: "\e257";
}
.glyphicon-menu-right:before {
content: "\e258";
}
.glyphicon-menu-down:before {
content: "\e259";
}
.glyphicon-menu-up:before {
content: "\e260";
}
* {
-webkit-box-sizing: border-box;
-moz-box-sizing: border-box;
box-sizing: border-box;
}
*:before,
*:after {
-webkit-box-sizing: border-box;
-moz-box-sizing: border-box;
box-sizing: border-box;
}
html {
font-size: 10px;
-webkit-tap-highlight-color: rgba(0, 0, 0, 0);
}
body {
font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
font-size: 13px;
line-height: 1.42857143;
color: #000;
background-color: #fff;
}
input,
button,
select,
textarea {
font-family: inherit;
font-size: inherit;
line-height: inherit;
}
a {
color: #337ab7;
text-decoration: none;
}
a:hover,
a:focus {
color: #23527c;
text-decoration: underline;
}
a:focus {
outline: 5px auto -webkit-focus-ring-color;
outline-offset: -2px;
}
figure {
margin: 0;
}
img {
vertical-align: middle;
}
.img-responsive,
.thumbnail > img,
.thumbnail a > img,
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
display: block;
max-width: 100%;
height: auto;
}
.img-rounded {
border-radius: 3px;
}
.img-thumbnail {
padding: 4px;
line-height: 1.42857143;
background-color: #fff;
border: 1px solid #ddd;
border-radius: 2px;
-webkit-transition: all 0.2s ease-in-out;
-o-transition: all 0.2s ease-in-out;
transition: all 0.2s ease-in-out;
display: inline-block;
max-width: 100%;
height: auto;
}
.img-circle {
border-radius: 50%;
}
hr {
margin-top: 18px;
margin-bottom: 18px;
border: 0;
border-top: 1px solid #eeeeee;
}
.sr-only {
position: absolute;
width: 1px;
height: 1px;
margin: -1px;
padding: 0;
overflow: hidden;
clip: rect(0, 0, 0, 0);
border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
position: static;
width: auto;
height: auto;
margin: 0;
overflow: visible;
clip: auto;
}
[role="button"] {
cursor: pointer;
}
h1,
h2,
h3,
h4,
h5,
h6,
.h1,
.h2,
.h3,
.h4,
.h5,
.h6 {
font-family: inherit;
font-weight: 500;
line-height: 1.1;
color: inherit;
}
h1 small,
h2 small,
h3 small,
h4 small,
h5 small,
h6 small,
.h1 small,
.h2 small,
.h3 small,
.h4 small,
.h5 small,
.h6 small,
h1 .small,
h2 .small,
h3 .small,
h4 .small,
h5 .small,
h6 .small,
.h1 .small,
.h2 .small,
.h3 .small,
.h4 .small,
.h5 .small,
.h6 .small {
font-weight: normal;
line-height: 1;
color: #777777;
}
h1,
.h1,
h2,
.h2,
h3,
.h3 {
margin-top: 18px;
margin-bottom: 9px;
}
h1 small,
.h1 small,
h2 small,
.h2 small,
h3 small,
.h3 small,
h1 .small,
.h1 .small,
h2 .small,
.h2 .small,
h3 .small,
.h3 .small {
font-size: 65%;
}
h4,
.h4,
h5,
.h5,
h6,
.h6 {
margin-top: 9px;
margin-bottom: 9px;
}
h4 small,
.h4 small,
h5 small,
.h5 small,
h6 small,
.h6 small,
h4 .small,
.h4 .small,
h5 .small,
.h5 .small,
h6 .small,
.h6 .small {
font-size: 75%;
}
h1,
.h1 {
font-size: 33px;
}
h2,
.h2 {
font-size: 27px;
}
h3,
.h3 {
font-size: 23px;
}
h4,
.h4 {
font-size: 17px;
}
h5,
.h5 {
font-size: 13px;
}
h6,
.h6 {
font-size: 12px;
}
p {
margin: 0 0 9px;
}
.lead {
margin-bottom: 18px;
font-size: 14px;
font-weight: 300;
line-height: 1.4;
}
@media (min-width: 768px) {
.lead {
font-size: 19.5px;
}
}
small,
.small {
font-size: 92%;
}
mark,
.mark {
background-color: #fcf8e3;
padding: .2em;
}
.text-left {
text-align: left;
}
.text-right {
text-align: right;
}
.text-center {
text-align: center;
}
.text-justify {
text-align: justify;
}
.text-nowrap {
white-space: nowrap;
}
.text-lowercase {
text-transform: lowercase;
}
.text-uppercase {
text-transform: uppercase;
}
.text-capitalize {
text-transform: capitalize;
}
.text-muted {
color: #777777;
}
.text-primary {
color: #337ab7;
}
a.text-primary:hover,
a.text-primary:focus {
color: #286090;
}
.text-success {
color: #3c763d;
}
a.text-success:hover,
a.text-success:focus {
color: #2b542c;
}
.text-info {
color: #31708f;
}
a.text-info:hover,
a.text-info:focus {
color: #245269;
}
.text-warning {
color: #8a6d3b;
}
a.text-warning:hover,
a.text-warning:focus {
color: #66512c;
}
.text-danger {
color: #a94442;
}
a.text-danger:hover,
a.text-danger:focus {
color: #843534;
}
.bg-primary {
color: #fff;
background-color: #337ab7;
}
a.bg-primary:hover,
a.bg-primary:focus {
background-color: #286090;
}
.bg-success {
background-color: #dff0d8;
}
a.bg-success:hover,
a.bg-success:focus {
background-color: #c1e2b3;
}
.bg-info {
background-color: #d9edf7;
}
a.bg-info:hover,
a.bg-info:focus {
background-color: #afd9ee;
}
.bg-warning {
background-color: #fcf8e3;
}
a.bg-warning:hover,
a.bg-warning:focus {
background-color: #f7ecb5;
}
.bg-danger {
background-color: #f2dede;
}
a.bg-danger:hover,
a.bg-danger:focus {
background-color: #e4b9b9;
}
.page-header {
padding-bottom: 8px;
margin: 36px 0 18px;
border-bottom: 1px solid #eeeeee;
}
ul,
ol {
margin-top: 0;
margin-bottom: 9px;
}
ul ul,
ol ul,
ul ol,
ol ol {
margin-bottom: 0;
}
.list-unstyled {
padding-left: 0;
list-style: none;
}
.list-inline {
padding-left: 0;
list-style: none;
margin-left: -5px;
}
.list-inline > li {
display: inline-block;
padding-left: 5px;
padding-right: 5px;
}
dl {
margin-top: 0;
margin-bottom: 18px;
}
dt,
dd {
line-height: 1.42857143;
}
dt {
font-weight: bold;
}
dd {
margin-left: 0;
}
@media (min-width: 541px) {
.dl-horizontal dt {
float: left;
width: 160px;
clear: left;
text-align: right;
overflow: hidden;
text-overflow: ellipsis;
white-space: nowrap;
}
.dl-horizontal dd {
margin-left: 180px;
}
}
abbr[title],
abbr[data-original-title] {
cursor: help;
border-bottom: 1px dotted #777777;
}
.initialism {
font-size: 90%;
text-transform: uppercase;
}
blockquote {
padding: 9px 18px;
margin: 0 0 18px;
font-size: inherit;
border-left: 5px solid #eeeeee;
}
blockquote p:last-child,
blockquote ul:last-child,
blockquote ol:last-child {
margin-bottom: 0;
}
blockquote footer,
blockquote small,
blockquote .small {
display: block;
font-size: 80%;
line-height: 1.42857143;
color: #777777;
}
blockquote footer:before,
blockquote small:before,
blockquote .small:before {
content: '\2014 \00A0';
}
.blockquote-reverse,
blockquote.pull-right {
padding-right: 15px;
padding-left: 0;
border-right: 5px solid #eeeeee;
border-left: 0;
text-align: right;
}
.blockquote-reverse footer:before,
blockquote.pull-right footer:before,
.blockquote-reverse small:before,
blockquote.pull-right small:before,
.blockquote-reverse .small:before,
blockquote.pull-right .small:before {
content: '';
}
.blockquote-reverse footer:after,
blockquote.pull-right footer:after,
.blockquote-reverse small:after,
blockquote.pull-right small:after,
.blockquote-reverse .small:after,
blockquote.pull-right .small:after {
content: '\00A0 \2014';
}
address {
margin-bottom: 18px;
font-style: normal;
line-height: 1.42857143;
}
code,
kbd,
pre,
samp {
font-family: monospace;
}
code {
padding: 2px 4px;
font-size: 90%;
color: #c7254e;
background-color: #f9f2f4;
border-radius: 2px;
}
kbd {
padding: 2px 4px;
font-size: 90%;
color: #888;
background-color: transparent;
border-radius: 1px;
box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
}
kbd kbd {
padding: 0;
font-size: 100%;
font-weight: bold;
box-shadow: none;
}
pre {
display: block;
padding: 8.5px;
margin: 0 0 9px;
font-size: 12px;
line-height: 1.42857143;
word-break: break-all;
word-wrap: break-word;
color: #333333;
background-color: #f5f5f5;
border: 1px solid #ccc;
border-radius: 2px;
}
pre code {
padding: 0;
font-size: inherit;
color: inherit;
white-space: pre-wrap;
background-color: transparent;
border-radius: 0;
}
.pre-scrollable {
max-height: 340px;
overflow-y: scroll;
}
.container {
margin-right: auto;
margin-left: auto;
padding-left: 0px;
padding-right: 0px;
}
@media (min-width: 768px) {
.container {
width: 768px;
}
}
@media (min-width: 992px) {
.container {
width: 940px;
}
}
@media (min-width: 1200px) {
.container {
width: 1140px;
}
}
.container-fluid {
margin-right: auto;
margin-left: auto;
padding-left: 0px;
padding-right: 0px;
}
.row {
margin-left: 0px;
margin-right: 0px;
}
.col-xs-1, .col-sm-1, .col-md-1, .col-lg-1, .col-xs-2, .col-sm-2, .col-md-2, .col-lg-2, .col-xs-3, .col-sm-3, .col-md-3, .col-lg-3, .col-xs-4, .col-sm-4, .col-md-4, .col-lg-4, .col-xs-5, .col-sm-5, .col-md-5, .col-lg-5, .col-xs-6, .col-sm-6, .col-md-6, .col-lg-6, .col-xs-7, .col-sm-7, .col-md-7, .col-lg-7, .col-xs-8, .col-sm-8, .col-md-8, .col-lg-8, .col-xs-9, .col-sm-9, .col-md-9, .col-lg-9, .col-xs-10, .col-sm-10, .col-md-10, .col-lg-10, .col-xs-11, .col-sm-11, .col-md-11, .col-lg-11, .col-xs-12, .col-sm-12, .col-md-12, .col-lg-12 {
position: relative;
min-height: 1px;
padding-left: 0px;
padding-right: 0px;
}
.col-xs-1, .col-xs-2, .col-xs-3, .col-xs-4, .col-xs-5, .col-xs-6, .col-xs-7, .col-xs-8, .col-xs-9, .col-xs-10, .col-xs-11, .col-xs-12 {
float: left;
}
.col-xs-12 {
width: 100%;
}
.col-xs-11 {
width: 91.66666667%;
}
.col-xs-10 {
width: 83.33333333%;
}
.col-xs-9 {
width: 75%;
}
.col-xs-8 {
width: 66.66666667%;
}
.col-xs-7 {
width: 58.33333333%;
}
.col-xs-6 {
width: 50%;
}
.col-xs-5 {
width: 41.66666667%;
}
.col-xs-4 {
width: 33.33333333%;
}
.col-xs-3 {
width: 25%;
}
.col-xs-2 {
width: 16.66666667%;
}
.col-xs-1 {
width: 8.33333333%;
}
.col-xs-pull-12 {
right: 100%;
}
.col-xs-pull-11 {
right: 91.66666667%;
}
.col-xs-pull-10 {
right: 83.33333333%;
}
.col-xs-pull-9 {
right: 75%;
}
.col-xs-pull-8 {
right: 66.66666667%;
}
.col-xs-pull-7 {
right: 58.33333333%;
}
.col-xs-pull-6 {
right: 50%;
}
.col-xs-pull-5 {
right: 41.66666667%;
}
.col-xs-pull-4 {
right: 33.33333333%;
}
.col-xs-pull-3 {
right: 25%;
}
.col-xs-pull-2 {
right: 16.66666667%;
}
.col-xs-pull-1 {
right: 8.33333333%;
}
.col-xs-pull-0 {
right: auto;
}
.col-xs-push-12 {
left: 100%;
}
.col-xs-push-11 {
left: 91.66666667%;
}
.col-xs-push-10 {
left: 83.33333333%;
}
.col-xs-push-9 {
left: 75%;
}
.col-xs-push-8 {
left: 66.66666667%;
}
.col-xs-push-7 {
left: 58.33333333%;
}
.col-xs-push-6 {
left: 50%;
}
.col-xs-push-5 {
left: 41.66666667%;
}
.col-xs-push-4 {
left: 33.33333333%;
}
.col-xs-push-3 {
left: 25%;
}
.col-xs-push-2 {
left: 16.66666667%;
}
.col-xs-push-1 {
left: 8.33333333%;
}
.col-xs-push-0 {
left: auto;
}
.col-xs-offset-12 {
margin-left: 100%;
}
.col-xs-offset-11 {
margin-left: 91.66666667%;
}
.col-xs-offset-10 {
margin-left: 83.33333333%;
}
.col-xs-offset-9 {
margin-left: 75%;
}
.col-xs-offset-8 {
margin-left: 66.66666667%;
}
.col-xs-offset-7 {
margin-left: 58.33333333%;
}
.col-xs-offset-6 {
margin-left: 50%;
}
.col-xs-offset-5 {
margin-left: 41.66666667%;
}
.col-xs-offset-4 {
margin-left: 33.33333333%;
}
.col-xs-offset-3 {
margin-left: 25%;
}
.col-xs-offset-2 {
margin-left: 16.66666667%;
}
.col-xs-offset-1 {
margin-left: 8.33333333%;
}
.col-xs-offset-0 {
margin-left: 0%;
}
@media (min-width: 768px) {
.col-sm-1, .col-sm-2, .col-sm-3, .col-sm-4, .col-sm-5, .col-sm-6, .col-sm-7, .col-sm-8, .col-sm-9, .col-sm-10, .col-sm-11, .col-sm-12 {
float: left;
}
.col-sm-12 {
width: 100%;
}
.col-sm-11 {
width: 91.66666667%;
}
.col-sm-10 {
width: 83.33333333%;
}
.col-sm-9 {
width: 75%;
}
.col-sm-8 {
width: 66.66666667%;
}
.col-sm-7 {
width: 58.33333333%;
}
.col-sm-6 {
width: 50%;
}
.col-sm-5 {
width: 41.66666667%;
}
.col-sm-4 {
width: 33.33333333%;
}
.col-sm-3 {
width: 25%;
}
.col-sm-2 {
width: 16.66666667%;
}
.col-sm-1 {
width: 8.33333333%;
}
.col-sm-pull-12 {
right: 100%;
}
.col-sm-pull-11 {
right: 91.66666667%;
}
.col-sm-pull-10 {
right: 83.33333333%;
}
.col-sm-pull-9 {
right: 75%;
}
.col-sm-pull-8 {
right: 66.66666667%;
}
.col-sm-pull-7 {
right: 58.33333333%;
}
.col-sm-pull-6 {
right: 50%;
}
.col-sm-pull-5 {
right: 41.66666667%;
}
.col-sm-pull-4 {
right: 33.33333333%;
}
.col-sm-pull-3 {
right: 25%;
}
.col-sm-pull-2 {
right: 16.66666667%;
}
.col-sm-pull-1 {
right: 8.33333333%;
}
.col-sm-pull-0 {
right: auto;
}
.col-sm-push-12 {
left: 100%;
}
.col-sm-push-11 {
left: 91.66666667%;
}
.col-sm-push-10 {
left: 83.33333333%;
}
.col-sm-push-9 {
left: 75%;
}
.col-sm-push-8 {
left: 66.66666667%;
}
.col-sm-push-7 {
left: 58.33333333%;
}
.col-sm-push-6 {
left: 50%;
}
.col-sm-push-5 {
left: 41.66666667%;
}
.col-sm-push-4 {
left: 33.33333333%;
}
.col-sm-push-3 {
left: 25%;
}
.col-sm-push-2 {
left: 16.66666667%;
}
.col-sm-push-1 {
left: 8.33333333%;
}
.col-sm-push-0 {
left: auto;
}
.col-sm-offset-12 {
margin-left: 100%;
}
.col-sm-offset-11 {
margin-left: 91.66666667%;
}
.col-sm-offset-10 {
margin-left: 83.33333333%;
}
.col-sm-offset-9 {
margin-left: 75%;
}
.col-sm-offset-8 {
margin-left: 66.66666667%;
}
.col-sm-offset-7 {
margin-left: 58.33333333%;
}
.col-sm-offset-6 {
margin-left: 50%;
}
.col-sm-offset-5 {
margin-left: 41.66666667%;
}
.col-sm-offset-4 {
margin-left: 33.33333333%;
}
.col-sm-offset-3 {
margin-left: 25%;
}
.col-sm-offset-2 {
margin-left: 16.66666667%;
}
.col-sm-offset-1 {
margin-left: 8.33333333%;
}
.col-sm-offset-0 {
margin-left: 0%;
}
}
@media (min-width: 992px) {
.col-md-1, .col-md-2, .col-md-3, .col-md-4, .col-md-5, .col-md-6, .col-md-7, .col-md-8, .col-md-9, .col-md-10, .col-md-11, .col-md-12 {
float: left;
}
.col-md-12 {
width: 100%;
}
.col-md-11 {
width: 91.66666667%;
}
.col-md-10 {
width: 83.33333333%;
}
.col-md-9 {
width: 75%;
}
.col-md-8 {
width: 66.66666667%;
}
.col-md-7 {
width: 58.33333333%;
}
.col-md-6 {
width: 50%;
}
.col-md-5 {
width: 41.66666667%;
}
.col-md-4 {
width: 33.33333333%;
}
.col-md-3 {
width: 25%;
}
.col-md-2 {
width: 16.66666667%;
}
.col-md-1 {
width: 8.33333333%;
}
.col-md-pull-12 {
right: 100%;
}
.col-md-pull-11 {
right: 91.66666667%;
}
.col-md-pull-10 {
right: 83.33333333%;
}
.col-md-pull-9 {
right: 75%;
}
.col-md-pull-8 {
right: 66.66666667%;
}
.col-md-pull-7 {
right: 58.33333333%;
}
.col-md-pull-6 {
right: 50%;
}
.col-md-pull-5 {
right: 41.66666667%;
}
.col-md-pull-4 {
right: 33.33333333%;
}
.col-md-pull-3 {
right: 25%;
}
.col-md-pull-2 {
right: 16.66666667%;
}
.col-md-pull-1 {
right: 8.33333333%;
}
.col-md-pull-0 {
right: auto;
}
.col-md-push-12 {
left: 100%;
}
.col-md-push-11 {
left: 91.66666667%;
}
.col-md-push-10 {
left: 83.33333333%;
}
.col-md-push-9 {
left: 75%;
}
.col-md-push-8 {
left: 66.66666667%;
}
.col-md-push-7 {
left: 58.33333333%;
}
.col-md-push-6 {
left: 50%;
}
.col-md-push-5 {
left: 41.66666667%;
}
.col-md-push-4 {
left: 33.33333333%;
}
.col-md-push-3 {
left: 25%;
}
.col-md-push-2 {
left: 16.66666667%;
}
.col-md-push-1 {
left: 8.33333333%;
}
.col-md-push-0 {
left: auto;
}
.col-md-offset-12 {
margin-left: 100%;
}
.col-md-offset-11 {
margin-left: 91.66666667%;
}
.col-md-offset-10 {
margin-left: 83.33333333%;
}
.col-md-offset-9 {
margin-left: 75%;
}
.col-md-offset-8 {
margin-left: 66.66666667%;
}
.col-md-offset-7 {
margin-left: 58.33333333%;
}
.col-md-offset-6 {
margin-left: 50%;
}
.col-md-offset-5 {
margin-left: 41.66666667%;
}
.col-md-offset-4 {
margin-left: 33.33333333%;
}
.col-md-offset-3 {
margin-left: 25%;
}
.col-md-offset-2 {
margin-left: 16.66666667%;
}
.col-md-offset-1 {
margin-left: 8.33333333%;
}
.col-md-offset-0 {
margin-left: 0%;
}
}
@media (min-width: 1200px) {
.col-lg-1, .col-lg-2, .col-lg-3, .col-lg-4, .col-lg-5, .col-lg-6, .col-lg-7, .col-lg-8, .col-lg-9, .col-lg-10, .col-lg-11, .col-lg-12 {
float: left;
}
.col-lg-12 {
width: 100%;
}
.col-lg-11 {
width: 91.66666667%;
}
.col-lg-10 {
width: 83.33333333%;
}
.col-lg-9 {
width: 75%;
}
.col-lg-8 {
width: 66.66666667%;
}
.col-lg-7 {
width: 58.33333333%;
}
.col-lg-6 {
width: 50%;
}
.col-lg-5 {
width: 41.66666667%;
}
.col-lg-4 {
width: 33.33333333%;
}
.col-lg-3 {
width: 25%;
}
.col-lg-2 {
width: 16.66666667%;
}
.col-lg-1 {
width: 8.33333333%;
}
.col-lg-pull-12 {
right: 100%;
}
.col-lg-pull-11 {
right: 91.66666667%;
}
.col-lg-pull-10 {
right: 83.33333333%;
}
.col-lg-pull-9 {
right: 75%;
}
.col-lg-pull-8 {
right: 66.66666667%;
}
.col-lg-pull-7 {
right: 58.33333333%;
}
.col-lg-pull-6 {
right: 50%;
}
.col-lg-pull-5 {
right: 41.66666667%;
}
.col-lg-pull-4 {
right: 33.33333333%;
}
.col-lg-pull-3 {
right: 25%;
}
.col-lg-pull-2 {
right: 16.66666667%;
}
.col-lg-pull-1 {
right: 8.33333333%;
}
.col-lg-pull-0 {
right: auto;
}
.col-lg-push-12 {
left: 100%;
}
.col-lg-push-11 {
left: 91.66666667%;
}
.col-lg-push-10 {
left: 83.33333333%;
}
.col-lg-push-9 {
left: 75%;
}
.col-lg-push-8 {
left: 66.66666667%;
}
.col-lg-push-7 {
left: 58.33333333%;
}
.col-lg-push-6 {
left: 50%;
}
.col-lg-push-5 {
left: 41.66666667%;
}
.col-lg-push-4 {
left: 33.33333333%;
}
.col-lg-push-3 {
left: 25%;
}
.col-lg-push-2 {
left: 16.66666667%;
}
.col-lg-push-1 {
left: 8.33333333%;
}
.col-lg-push-0 {
left: auto;
}
.col-lg-offset-12 {
margin-left: 100%;
}
.col-lg-offset-11 {
margin-left: 91.66666667%;
}
.col-lg-offset-10 {
margin-left: 83.33333333%;
}
.col-lg-offset-9 {
margin-left: 75%;
}
.col-lg-offset-8 {
margin-left: 66.66666667%;
}
.col-lg-offset-7 {
margin-left: 58.33333333%;
}
.col-lg-offset-6 {
margin-left: 50%;
}
.col-lg-offset-5 {
margin-left: 41.66666667%;
}
.col-lg-offset-4 {
margin-left: 33.33333333%;
}
.col-lg-offset-3 {
margin-left: 25%;
}
.col-lg-offset-2 {
margin-left: 16.66666667%;
}
.col-lg-offset-1 {
margin-left: 8.33333333%;
}
.col-lg-offset-0 {
margin-left: 0%;
}
}
table {
background-color: transparent;
}
caption {
padding-top: 8px;
padding-bottom: 8px;
color: #777777;
text-align: left;
}
th {
text-align: left;
}
.table {
width: 100%;
max-width: 100%;
margin-bottom: 18px;
}
.table > thead > tr > th,
.table > tbody > tr > th,
.table > tfoot > tr > th,
.table > thead > tr > td,
.table > tbody > tr > td,
.table > tfoot > tr > td {
padding: 8px;
line-height: 1.42857143;
vertical-align: top;
border-top: 1px solid #ddd;
}
.table > thead > tr > th {
vertical-align: bottom;
border-bottom: 2px solid #ddd;
}
.table > caption + thead > tr:first-child > th,
.table > colgroup + thead > tr:first-child > th,
.table > thead:first-child > tr:first-child > th,
.table > caption + thead > tr:first-child > td,
.table > colgroup + thead > tr:first-child > td,
.table > thead:first-child > tr:first-child > td {
border-top: 0;
}
.table > tbody + tbody {
border-top: 2px solid #ddd;
}
.table .table {
background-color: #fff;
}
.table-condensed > thead > tr > th,
.table-condensed > tbody > tr > th,
.table-condensed > tfoot > tr > th,
.table-condensed > thead > tr > td,
.table-condensed > tbody > tr > td,
.table-condensed > tfoot > tr > td {
padding: 5px;
}
.table-bordered {
border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > tbody > tr > th,
.table-bordered > tfoot > tr > th,
.table-bordered > thead > tr > td,
.table-bordered > tbody > tr > td,
.table-bordered > tfoot > tr > td {
border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > thead > tr > td {
border-bottom-width: 2px;
}
.table-striped > tbody > tr:nth-of-type(odd) {
background-color: #f9f9f9;
}
.table-hover > tbody > tr:hover {
background-color: #f5f5f5;
}
table col[class*="col-"] {
position: static;
float: none;
display: table-column;
}
table td[class*="col-"],
table th[class*="col-"] {
position: static;
float: none;
display: table-cell;
}
.table > thead > tr > td.active,
.table > tbody > tr > td.active,
.table > tfoot > tr > td.active,
.table > thead > tr > th.active,
.table > tbody > tr > th.active,
.table > tfoot > tr > th.active,
.table > thead > tr.active > td,
.table > tbody > tr.active > td,
.table > tfoot > tr.active > td,
.table > thead > tr.active > th,
.table > tbody > tr.active > th,
.table > tfoot > tr.active > th {
background-color: #f5f5f5;
}
.table-hover > tbody > tr > td.active:hover,
.table-hover > tbody > tr > th.active:hover,
.table-hover > tbody > tr.active:hover > td,
.table-hover > tbody > tr:hover > .active,
.table-hover > tbody > tr.active:hover > th {
background-color: #e8e8e8;
}
.table > thead > tr > td.success,
.table > tbody > tr > td.success,
.table > tfoot > tr > td.success,
.table > thead > tr > th.success,
.table > tbody > tr > th.success,
.table > tfoot > tr > th.success,
.table > thead > tr.success > td,
.table > tbody > tr.success > td,
.table > tfoot > tr.success > td,
.table > thead > tr.success > th,
.table > tbody > tr.success > th,
.table > tfoot > tr.success > th {
background-color: #dff0d8;
}
.table-hover > tbody > tr > td.success:hover,
.table-hover > tbody > tr > th.success:hover,
.table-hover > tbody > tr.success:hover > td,
.table-hover > tbody > tr:hover > .success,
.table-hover > tbody > tr.success:hover > th {
background-color: #d0e9c6;
}
.table > thead > tr > td.info,
.table > tbody > tr > td.info,
.table > tfoot > tr > td.info,
.table > thead > tr > th.info,
.table > tbody > tr > th.info,
.table > tfoot > tr > th.info,
.table > thead > tr.info > td,
.table > tbody > tr.info > td,
.table > tfoot > tr.info > td,
.table > thead > tr.info > th,
.table > tbody > tr.info > th,
.table > tfoot > tr.info > th {
background-color: #d9edf7;
}
.table-hover > tbody > tr > td.info:hover,
.table-hover > tbody > tr > th.info:hover,
.table-hover > tbody > tr.info:hover > td,
.table-hover > tbody > tr:hover > .info,
.table-hover > tbody > tr.info:hover > th {
background-color: #c4e3f3;
}
.table > thead > tr > td.warning,
.table > tbody > tr > td.warning,
.table > tfoot > tr > td.warning,
.table > thead > tr > th.warning,
.table > tbody > tr > th.warning,
.table > tfoot > tr > th.warning,
.table > thead > tr.warning > td,
.table > tbody > tr.warning > td,
.table > tfoot > tr.warning > td,
.table > thead > tr.warning > th,
.table > tbody > tr.warning > th,
.table > tfoot > tr.warning > th {
background-color: #fcf8e3;
}
.table-hover > tbody > tr > td.warning:hover,
.table-hover > tbody > tr > th.warning:hover,
.table-hover > tbody > tr.warning:hover > td,
.table-hover > tbody > tr:hover > .warning,
.table-hover > tbody > tr.warning:hover > th {
background-color: #faf2cc;
}
.table > thead > tr > td.danger,
.table > tbody > tr > td.danger,
.table > tfoot > tr > td.danger,
.table > thead > tr > th.danger,
.table > tbody > tr > th.danger,
.table > tfoot > tr > th.danger,
.table > thead > tr.danger > td,
.table > tbody > tr.danger > td,
.table > tfoot > tr.danger > td,
.table > thead > tr.danger > th,
.table > tbody > tr.danger > th,
.table > tfoot > tr.danger > th {
background-color: #f2dede;
}
.table-hover > tbody > tr > td.danger:hover,
.table-hover > tbody > tr > th.danger:hover,
.table-hover > tbody > tr.danger:hover > td,
.table-hover > tbody > tr:hover > .danger,
.table-hover > tbody > tr.danger:hover > th {
background-color: #ebcccc;
}
.table-responsive {
overflow-x: auto;
min-height: 0.01%;
}
@media screen and (max-width: 767px) {
.table-responsive {
width: 100%;
margin-bottom: 13.5px;
overflow-y: hidden;
-ms-overflow-style: -ms-autohiding-scrollbar;
border: 1px solid #ddd;
}
.table-responsive > .table {
margin-bottom: 0;
}
.table-responsive > .table > thead > tr > th,
.table-responsive > .table > tbody > tr > th,
.table-responsive > .table > tfoot > tr > th,
.table-responsive > .table > thead > tr > td,
.table-responsive > .table > tbody > tr > td,
.table-responsive > .table > tfoot > tr > td {
white-space: nowrap;
}
.table-responsive > .table-bordered {
border: 0;
}
.table-responsive > .table-bordered > thead > tr > th:first-child,
.table-responsive > .table-bordered > tbody > tr > th:first-child,
.table-responsive > .table-bordered > tfoot > tr > th:first-child,
.table-responsive > .table-bordered > thead > tr > td:first-child,
.table-responsive > .table-bordered > tbody > tr > td:first-child,
.table-responsive > .table-bordered > tfoot > tr > td:first-child {
border-left: 0;
}
.table-responsive > .table-bordered > thead > tr > th:last-child,
.table-responsive > .table-bordered > tbody > tr > th:last-child,
.table-responsive > .table-bordered > tfoot > tr > th:last-child,
.table-responsive > .table-bordered > thead > tr > td:last-child,
.table-responsive > .table-bordered > tbody > tr > td:last-child,
.table-responsive > .table-bordered > tfoot > tr > td:last-child {
border-right: 0;
}
.table-responsive > .table-bordered > tbody > tr:last-child > th,
.table-responsive > .table-bordered > tfoot > tr:last-child > th,
.table-responsive > .table-bordered > tbody > tr:last-child > td,
.table-responsive > .table-bordered > tfoot > tr:last-child > td {
border-bottom: 0;
}
}
fieldset {
padding: 0;
margin: 0;
border: 0;
min-width: 0;
}
legend {
display: block;
width: 100%;
padding: 0;
margin-bottom: 18px;
font-size: 19.5px;
line-height: inherit;
color: #333333;
border: 0;
border-bottom: 1px solid #e5e5e5;
}
label {
display: inline-block;
max-width: 100%;
margin-bottom: 5px;
font-weight: bold;
}
input[type="search"] {
-webkit-box-sizing: border-box;
-moz-box-sizing: border-box;
box-sizing: border-box;
}
input[type="radio"],
input[type="checkbox"] {
margin: 4px 0 0;
margin-top: 1px \9;
line-height: normal;
}
input[type="file"] {
display: block;
}
input[type="range"] {
display: block;
width: 100%;
}
select[multiple],
select[size] {
height: auto;
}
input[type="file"]:focus,
input[type="radio"]:focus,
input[type="checkbox"]:focus {
outline: 5px auto -webkit-focus-ring-color;
outline-offset: -2px;
}
output {
display: block;
padding-top: 7px;
font-size: 13px;
line-height: 1.42857143;
color: #555555;
}
.form-control {
display: block;
width: 100%;
height: 32px;
padding: 6px 12px;
font-size: 13px;
line-height: 1.42857143;
color: #555555;
background-color: #fff;
background-image: none;
border: 1px solid #ccc;
border-radius: 2px;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
-webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
-o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
}
.form-control:focus {
border-color: #66afe9;
outline: 0;
-webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.form-control::-moz-placeholder {
color: #999;
opacity: 1;
}
.form-control:-ms-input-placeholder {
color: #999;
}
.form-control::-webkit-input-placeholder {
color: #999;
}
.form-control::-ms-expand {
border: 0;
background-color: transparent;
}
.form-control[disabled],
.form-control[readonly],
fieldset[disabled] .form-control {
background-color: #eeeeee;
opacity: 1;
}
.form-control[disabled],
fieldset[disabled] .form-control {
cursor: not-allowed;
}
textarea.form-control {
height: auto;
}
input[type="search"] {
-webkit-appearance: none;
}
@media screen and (-webkit-min-device-pixel-ratio: 0) {
input[type="date"].form-control,
input[type="time"].form-control,
input[type="datetime-local"].form-control,
input[type="month"].form-control {
line-height: 32px;
}
input[type="date"].input-sm,
input[type="time"].input-sm,
input[type="datetime-local"].input-sm,
input[type="month"].input-sm,
.input-group-sm input[type="date"],
.input-group-sm input[type="time"],
.input-group-sm input[type="datetime-local"],
.input-group-sm input[type="month"] {
line-height: 30px;
}
input[type="date"].input-lg,
input[type="time"].input-lg,
input[type="datetime-local"].input-lg,
input[type="month"].input-lg,
.input-group-lg input[type="date"],
.input-group-lg input[type="time"],
.input-group-lg input[type="datetime-local"],
.input-group-lg input[type="month"] {
line-height: 45px;
}
}
.form-group {
margin-bottom: 15px;
}
.radio,
.checkbox {
position: relative;
display: block;
margin-top: 10px;
margin-bottom: 10px;
}
.radio label,
.checkbox label {
min-height: 18px;
padding-left: 20px;
margin-bottom: 0;
font-weight: normal;
cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
position: absolute;
margin-left: -20px;
margin-top: 4px \9;
}
.radio + .radio,
.checkbox + .checkbox {
margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
position: relative;
display: inline-block;
padding-left: 20px;
margin-bottom: 0;
vertical-align: middle;
font-weight: normal;
cursor: pointer;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
margin-top: 0;
margin-left: 10px;
}
input[type="radio"][disabled],
input[type="checkbox"][disabled],
input[type="radio"].disabled,
input[type="checkbox"].disabled,
fieldset[disabled] input[type="radio"],
fieldset[disabled] input[type="checkbox"] {
cursor: not-allowed;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
cursor: not-allowed;
}
.radio.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
cursor: not-allowed;
}
.form-control-static {
padding-top: 7px;
padding-bottom: 7px;
margin-bottom: 0;
min-height: 31px;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
padding-left: 0;
padding-right: 0;
}
.input-sm {
height: 30px;
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
}
select.input-sm {
height: 30px;
line-height: 30px;
}
textarea.input-sm,
select[multiple].input-sm {
height: auto;
}
.form-group-sm .form-control {
height: 30px;
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
}
.form-group-sm select.form-control {
height: 30px;
line-height: 30px;
}
.form-group-sm textarea.form-control,
.form-group-sm select[multiple].form-control {
height: auto;
}
.form-group-sm .form-control-static {
height: 30px;
min-height: 30px;
padding: 6px 10px;
font-size: 12px;
line-height: 1.5;
}
.input-lg {
height: 45px;
padding: 10px 16px;
font-size: 17px;
line-height: 1.3333333;
border-radius: 3px;
}
select.input-lg {
height: 45px;
line-height: 45px;
}
textarea.input-lg,
select[multiple].input-lg {
height: auto;
}
.form-group-lg .form-control {
height: 45px;
padding: 10px 16px;
font-size: 17px;
line-height: 1.3333333;
border-radius: 3px;
}
.form-group-lg select.form-control {
height: 45px;
line-height: 45px;
}
.form-group-lg textarea.form-control,
.form-group-lg select[multiple].form-control {
height: auto;
}
.form-group-lg .form-control-static {
height: 45px;
min-height: 35px;
padding: 11px 16px;
font-size: 17px;
line-height: 1.3333333;
}
.has-feedback {
position: relative;
}
.has-feedback .form-control {
padding-right: 40px;
}
.form-control-feedback {
position: absolute;
top: 0;
right: 0;
z-index: 2;
display: block;
width: 32px;
height: 32px;
line-height: 32px;
text-align: center;
pointer-events: none;
}
.input-lg + .form-control-feedback,
.input-group-lg + .form-control-feedback,
.form-group-lg .form-control + .form-control-feedback {
width: 45px;
height: 45px;
line-height: 45px;
}
.input-sm + .form-control-feedback,
.input-group-sm + .form-control-feedback,
.form-group-sm .form-control + .form-control-feedback {
width: 30px;
height: 30px;
line-height: 30px;
}
.has-success .help-block,
.has-success .control-label,
.has-success .radio,
.has-success .checkbox,
.has-success .radio-inline,
.has-success .checkbox-inline,
.has-success.radio label,
.has-success.checkbox label,
.has-success.radio-inline label,
.has-success.checkbox-inline label {
color: #3c763d;
}
.has-success .form-control {
border-color: #3c763d;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-success .form-control:focus {
border-color: #2b542c;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
}
.has-success .input-group-addon {
color: #3c763d;
border-color: #3c763d;
background-color: #dff0d8;
}
.has-success .form-control-feedback {
color: #3c763d;
}
.has-warning .help-block,
.has-warning .control-label,
.has-warning .radio,
.has-warning .checkbox,
.has-warning .radio-inline,
.has-warning .checkbox-inline,
.has-warning.radio label,
.has-warning.checkbox label,
.has-warning.radio-inline label,
.has-warning.checkbox-inline label {
color: #8a6d3b;
}
.has-warning .form-control {
border-color: #8a6d3b;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-warning .form-control:focus {
border-color: #66512c;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
}
.has-warning .input-group-addon {
color: #8a6d3b;
border-color: #8a6d3b;
background-color: #fcf8e3;
}
.has-warning .form-control-feedback {
color: #8a6d3b;
}
.has-error .help-block,
.has-error .control-label,
.has-error .radio,
.has-error .checkbox,
.has-error .radio-inline,
.has-error .checkbox-inline,
.has-error.radio label,
.has-error.checkbox label,
.has-error.radio-inline label,
.has-error.checkbox-inline label {
color: #a94442;
}
.has-error .form-control {
border-color: #a94442;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-error .form-control:focus {
border-color: #843534;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
}
.has-error .input-group-addon {
color: #a94442;
border-color: #a94442;
background-color: #f2dede;
}
.has-error .form-control-feedback {
color: #a94442;
}
.has-feedback label ~ .form-control-feedback {
top: 23px;
}
.has-feedback label.sr-only ~ .form-control-feedback {
top: 0;
}
.help-block {
display: block;
margin-top: 5px;
margin-bottom: 10px;
color: #404040;
}
@media (min-width: 768px) {
.form-inline .form-group {
display: inline-block;
margin-bottom: 0;
vertical-align: middle;
}
.form-inline .form-control {
display: inline-block;
width: auto;
vertical-align: middle;
}
.form-inline .form-control-static {
display: inline-block;
}
.form-inline .input-group {
display: inline-table;
vertical-align: middle;
}
.form-inline .input-group .input-group-addon,
.form-inline .input-group .input-group-btn,
.form-inline .input-group .form-control {
width: auto;
}
.form-inline .input-group > .form-control {
width: 100%;
}
.form-inline .control-label {
margin-bottom: 0;
vertical-align: middle;
}
.form-inline .radio,
.form-inline .checkbox {
display: inline-block;
margin-top: 0;
margin-bottom: 0;
vertical-align: middle;
}
.form-inline .radio label,
.form-inline .checkbox label {
padding-left: 0;
}
.form-inline .radio input[type="radio"],
.form-inline .checkbox input[type="checkbox"] {
position: relative;
margin-left: 0;
}
.form-inline .has-feedback .form-control-feedback {
top: 0;
}
}
.form-horizontal .radio,
.form-horizontal .checkbox,
.form-horizontal .radio-inline,
.form-horizontal .checkbox-inline {
margin-top: 0;
margin-bottom: 0;
padding-top: 7px;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
min-height: 25px;
}
.form-horizontal .form-group {
margin-left: 0px;
margin-right: 0px;
}
@media (min-width: 768px) {
.form-horizontal .control-label {
text-align: right;
margin-bottom: 0;
padding-top: 7px;
}
}
.form-horizontal .has-feedback .form-control-feedback {
right: 0px;
}
@media (min-width: 768px) {
.form-horizontal .form-group-lg .control-label {
padding-top: 11px;
font-size: 17px;
}
}
@media (min-width: 768px) {
.form-horizontal .form-group-sm .control-label {
padding-top: 6px;
font-size: 12px;
}
}
.btn {
display: inline-block;
margin-bottom: 0;
font-weight: normal;
text-align: center;
vertical-align: middle;
touch-action: manipulation;
cursor: pointer;
background-image: none;
border: 1px solid transparent;
white-space: nowrap;
padding: 6px 12px;
font-size: 13px;
line-height: 1.42857143;
border-radius: 2px;
-webkit-user-select: none;
-moz-user-select: none;
-ms-user-select: none;
user-select: none;
}
.btn:focus,
.btn:active:focus,
.btn.active:focus,
.btn.focus,
.btn:active.focus,
.btn.active.focus {
outline: 5px auto -webkit-focus-ring-color;
outline-offset: -2px;
}
.btn:hover,
.btn:focus,
.btn.focus {
color: #333;
text-decoration: none;
}
.btn:active,
.btn.active {
outline: 0;
background-image: none;
-webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn.disabled,
.btn[disabled],
fieldset[disabled] .btn {
cursor: not-allowed;
opacity: 0.65;
filter: alpha(opacity=65);
-webkit-box-shadow: none;
box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
pointer-events: none;
}
.btn-default {
color: #333;
background-color: #fff;
border-color: #ccc;
}
.btn-default:focus,
.btn-default.focus {
color: #333;
background-color: #e6e6e6;
border-color: #8c8c8c;
}
.btn-default:hover {
color: #333;
background-color: #e6e6e6;
border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
color: #333;
background-color: #e6e6e6;
border-color: #adadad;
}
.btn-default:active:hover,
.btn-default.active:hover,
.open > .dropdown-toggle.btn-default:hover,
.btn-default:active:focus,
.btn-default.active:focus,
.open > .dropdown-toggle.btn-default:focus,
.btn-default:active.focus,
.btn-default.active.focus,
.open > .dropdown-toggle.btn-default.focus {
color: #333;
background-color: #d4d4d4;
border-color: #8c8c8c;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
background-image: none;
}
.btn-default.disabled:hover,
.btn-default[disabled]:hover,
fieldset[disabled] .btn-default:hover,
.btn-default.disabled:focus,
.btn-default[disabled]:focus,
fieldset[disabled] .btn-default:focus,
.btn-default.disabled.focus,
.btn-default[disabled].focus,
fieldset[disabled] .btn-default.focus {
background-color: #fff;
border-color: #ccc;
}
.btn-default .badge {
color: #fff;
background-color: #333;
}
.btn-primary {
color: #fff;
background-color: #337ab7;
border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
color: #fff;
background-color: #286090;
border-color: #122b40;
}
.btn-primary:hover {
color: #fff;
background-color: #286090;
border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
color: #fff;
background-color: #286090;
border-color: #204d74;
}
.btn-primary:active:hover,
.btn-primary.active:hover,
.open > .dropdown-toggle.btn-primary:hover,
.btn-primary:active:focus,
.btn-primary.active:focus,
.open > .dropdown-toggle.btn-primary:focus,
.btn-primary:active.focus,
.btn-primary.active.focus,
.open > .dropdown-toggle.btn-primary.focus {
color: #fff;
background-color: #204d74;
border-color: #122b40;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
background-image: none;
}
.btn-primary.disabled:hover,
.btn-primary[disabled]:hover,
fieldset[disabled] .btn-primary:hover,
.btn-primary.disabled:focus,
.btn-primary[disabled]:focus,
fieldset[disabled] .btn-primary:focus,
.btn-primary.disabled.focus,
.btn-primary[disabled].focus,
fieldset[disabled] .btn-primary.focus {
background-color: #337ab7;
border-color: #2e6da4;
}
.btn-primary .badge {
color: #337ab7;
background-color: #fff;
}
.btn-success {
color: #fff;
background-color: #5cb85c;
border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
color: #fff;
background-color: #449d44;
border-color: #255625;
}
.btn-success:hover {
color: #fff;
background-color: #449d44;
border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
color: #fff;
background-color: #449d44;
border-color: #398439;
}
.btn-success:active:hover,
.btn-success.active:hover,
.open > .dropdown-toggle.btn-success:hover,
.btn-success:active:focus,
.btn-success.active:focus,
.open > .dropdown-toggle.btn-success:focus,
.btn-success:active.focus,
.btn-success.active.focus,
.open > .dropdown-toggle.btn-success.focus {
color: #fff;
background-color: #398439;
border-color: #255625;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
background-image: none;
}
.btn-success.disabled:hover,
.btn-success[disabled]:hover,
fieldset[disabled] .btn-success:hover,
.btn-success.disabled:focus,
.btn-success[disabled]:focus,
fieldset[disabled] .btn-success:focus,
.btn-success.disabled.focus,
.btn-success[disabled].focus,
fieldset[disabled] .btn-success.focus {
background-color: #5cb85c;
border-color: #4cae4c;
}
.btn-success .badge {
color: #5cb85c;
background-color: #fff;
}
.btn-info {
color: #fff;
background-color: #5bc0de;
border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
color: #fff;
background-color: #31b0d5;
border-color: #1b6d85;
}
.btn-info:hover {
color: #fff;
background-color: #31b0d5;
border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
color: #fff;
background-color: #31b0d5;
border-color: #269abc;
}
.btn-info:active:hover,
.btn-info.active:hover,
.open > .dropdown-toggle.btn-info:hover,
.btn-info:active:focus,
.btn-info.active:focus,
.open > .dropdown-toggle.btn-info:focus,
.btn-info:active.focus,
.btn-info.active.focus,
.open > .dropdown-toggle.btn-info.focus {
color: #fff;
background-color: #269abc;
border-color: #1b6d85;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
background-image: none;
}
.btn-info.disabled:hover,
.btn-info[disabled]:hover,
fieldset[disabled] .btn-info:hover,
.btn-info.disabled:focus,
.btn-info[disabled]:focus,
fieldset[disabled] .btn-info:focus,
.btn-info.disabled.focus,
.btn-info[disabled].focus,
fieldset[disabled] .btn-info.focus {
background-color: #5bc0de;
border-color: #46b8da;
}
.btn-info .badge {
color: #5bc0de;
background-color: #fff;
}
.btn-warning {
color: #fff;
background-color: #f0ad4e;
border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
color: #fff;
background-color: #ec971f;
border-color: #985f0d;
}
.btn-warning:hover {
color: #fff;
background-color: #ec971f;
border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
color: #fff;
background-color: #ec971f;
border-color: #d58512;
}
.btn-warning:active:hover,
.btn-warning.active:hover,
.open > .dropdown-toggle.btn-warning:hover,
.btn-warning:active:focus,
.btn-warning.active:focus,
.open > .dropdown-toggle.btn-warning:focus,
.btn-warning:active.focus,
.btn-warning.active.focus,
.open > .dropdown-toggle.btn-warning.focus {
color: #fff;
background-color: #d58512;
border-color: #985f0d;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
background-image: none;
}
.btn-warning.disabled:hover,
.btn-warning[disabled]:hover,
fieldset[disabled] .btn-warning:hover,
.btn-warning.disabled:focus,
.btn-warning[disabled]:focus,
fieldset[disabled] .btn-warning:focus,
.btn-warning.disabled.focus,
.btn-warning[disabled].focus,
fieldset[disabled] .btn-warning.focus {
background-color: #f0ad4e;
border-color: #eea236;
}
.btn-warning .badge {
color: #f0ad4e;
background-color: #fff;
}
.btn-danger {
color: #fff;
background-color: #d9534f;
border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
color: #fff;
background-color: #c9302c;
border-color: #761c19;
}
.btn-danger:hover {
color: #fff;
background-color: #c9302c;
border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
color: #fff;
background-color: #c9302c;
border-color: #ac2925;
}
.btn-danger:active:hover,
.btn-danger.active:hover,
.open > .dropdown-toggle.btn-danger:hover,
.btn-danger:active:focus,
.btn-danger.active:focus,
.open > .dropdown-toggle.btn-danger:focus,
.btn-danger:active.focus,
.btn-danger.active.focus,
.open > .dropdown-toggle.btn-danger.focus {
color: #fff;
background-color: #ac2925;
border-color: #761c19;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
background-image: none;
}
.btn-danger.disabled:hover,
.btn-danger[disabled]:hover,
fieldset[disabled] .btn-danger:hover,
.btn-danger.disabled:focus,
.btn-danger[disabled]:focus,
fieldset[disabled] .btn-danger:focus,
.btn-danger.disabled.focus,
.btn-danger[disabled].focus,
fieldset[disabled] .btn-danger.focus {
background-color: #d9534f;
border-color: #d43f3a;
}
.btn-danger .badge {
color: #d9534f;
background-color: #fff;
}
.btn-link {
color: #337ab7;
font-weight: normal;
border-radius: 0;
}
.btn-link,
.btn-link:active,
.btn-link.active,
.btn-link[disabled],
fieldset[disabled] .btn-link {
background-color: transparent;
-webkit-box-shadow: none;
box-shadow: none;
}
.btn-link,
.btn-link:hover,
.btn-link:focus,
.btn-link:active {
border-color: transparent;
}
.btn-link:hover,
.btn-link:focus {
color: #23527c;
text-decoration: underline;
background-color: transparent;
}
.btn-link[disabled]:hover,
fieldset[disabled] .btn-link:hover,
.btn-link[disabled]:focus,
fieldset[disabled] .btn-link:focus {
color: #777777;
text-decoration: none;
}
.btn-lg,
.btn-group-lg > .btn {
padding: 10px 16px;
font-size: 17px;
line-height: 1.3333333;
border-radius: 3px;
}
.btn-sm,
.btn-group-sm > .btn {
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
}
.btn-xs,
.btn-group-xs > .btn {
padding: 1px 5px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
}
.btn-block {
display: block;
width: 100%;
}
.btn-block + .btn-block {
margin-top: 5px;
}
input[type="submit"].btn-block,
input[type="reset"].btn-block,
input[type="button"].btn-block {
width: 100%;
}
.fade {
opacity: 0;
-webkit-transition: opacity 0.15s linear;
-o-transition: opacity 0.15s linear;
transition: opacity 0.15s linear;
}
.fade.in {
opacity: 1;
}
.collapse {
display: none;
}
.collapse.in {
display: block;
}
tr.collapse.in {
display: table-row;
}
tbody.collapse.in {
display: table-row-group;
}
.collapsing {
position: relative;
height: 0;
overflow: hidden;
-webkit-transition-property: height, visibility;
transition-property: height, visibility;
-webkit-transition-duration: 0.35s;
transition-duration: 0.35s;
-webkit-transition-timing-function: ease;
transition-timing-function: ease;
}
.caret {
display: inline-block;
width: 0;
height: 0;
margin-left: 2px;
vertical-align: middle;
border-top: 4px dashed;
border-top: 4px solid \9;
border-right: 4px solid transparent;
border-left: 4px solid transparent;
}
.dropup,
.dropdown {
position: relative;
}
.dropdown-toggle:focus {
outline: 0;
}
.dropdown-menu {
position: absolute;
top: 100%;
left: 0;
z-index: 1000;
display: none;
float: left;
min-width: 160px;
padding: 5px 0;
margin: 2px 0 0;
list-style: none;
font-size: 13px;
text-align: left;
background-color: #fff;
border: 1px solid #ccc;
border: 1px solid rgba(0, 0, 0, 0.15);
border-radius: 2px;
-webkit-box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
background-clip: padding-box;
}
.dropdown-menu.pull-right {
right: 0;
left: auto;
}
.dropdown-menu .divider {
height: 1px;
margin: 8px 0;
overflow: hidden;
background-color: #e5e5e5;
}
.dropdown-menu > li > a {
display: block;
padding: 3px 20px;
clear: both;
font-weight: normal;
line-height: 1.42857143;
color: #333333;
white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
text-decoration: none;
color: #262626;
background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
color: #fff;
text-decoration: none;
outline: 0;
background-color: #337ab7;
}
.dropdown-menu > .disabled > a,
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
color: #777777;
}
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
text-decoration: none;
background-color: transparent;
background-image: none;
filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
cursor: not-allowed;
}
.open > .dropdown-menu {
display: block;
}
.open > a {
outline: 0;
}
.dropdown-menu-right {
left: auto;
right: 0;
}
.dropdown-menu-left {
left: 0;
right: auto;
}
.dropdown-header {
display: block;
padding: 3px 20px;
font-size: 12px;
line-height: 1.42857143;
color: #777777;
white-space: nowrap;
}
.dropdown-backdrop {
position: fixed;
left: 0;
right: 0;
bottom: 0;
top: 0;
z-index: 990;
}
.pull-right > .dropdown-menu {
right: 0;
left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
border-top: 0;
border-bottom: 4px dashed;
border-bottom: 4px solid \9;
content: "";
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
top: auto;
bottom: 100%;
margin-bottom: 2px;
}
@media (min-width: 541px) {
.navbar-right .dropdown-menu {
left: auto;
right: 0;
}
.navbar-right .dropdown-menu-left {
left: 0;
right: auto;
}
}
.btn-group,
.btn-group-vertical {
position: relative;
display: inline-block;
vertical-align: middle;
}
.btn-group > .btn,
.btn-group-vertical > .btn {
position: relative;
float: left;
}
.btn-group > .btn:hover,
.btn-group-vertical > .btn:hover,
.btn-group > .btn:focus,
.btn-group-vertical > .btn:focus,
.btn-group > .btn:active,
.btn-group-vertical > .btn:active,
.btn-group > .btn.active,
.btn-group-vertical > .btn.active {
z-index: 2;
}
.btn-group .btn + .btn,
.btn-group .btn + .btn-group,
.btn-group .btn-group + .btn,
.btn-group .btn-group + .btn-group {
margin-left: -1px;
}
.btn-toolbar {
margin-left: -5px;
}
.btn-toolbar .btn,
.btn-toolbar .btn-group,
.btn-toolbar .input-group {
float: left;
}
.btn-toolbar > .btn,
.btn-toolbar > .btn-group,
.btn-toolbar > .input-group {
margin-left: 5px;
}
.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
border-radius: 0;
}
.btn-group > .btn:first-child {
margin-left: 0;
}
.btn-group > .btn:first-child:not(:last-child):not(.dropdown-toggle) {
border-bottom-right-radius: 0;
border-top-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
border-bottom-left-radius: 0;
border-top-left-radius: 0;
}
.btn-group > .btn-group {
float: left;
}
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
border-radius: 0;
}
.btn-group > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
border-bottom-right-radius: 0;
border-top-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
border-bottom-left-radius: 0;
border-top-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
padding-left: 8px;
padding-right: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
padding-left: 12px;
padding-right: 12px;
}
.btn-group.open .dropdown-toggle {
-webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn-group.open .dropdown-toggle.btn-link {
-webkit-box-shadow: none;
box-shadow: none;
}
.btn .caret {
margin-left: 0;
}
.btn-lg .caret {
border-width: 5px 5px 0;
border-bottom-width: 0;
}
.dropup .btn-lg .caret {
border-width: 0 5px 5px;
}
.btn-group-vertical > .btn,
.btn-group-vertical > .btn-group,
.btn-group-vertical > .btn-group > .btn {
display: block;
float: none;
width: 100%;
max-width: 100%;
}
.btn-group-vertical > .btn-group > .btn {
float: none;
}
.btn-group-vertical > .btn + .btn,
.btn-group-vertical > .btn + .btn-group,
.btn-group-vertical > .btn-group + .btn,
.btn-group-vertical > .btn-group + .btn-group {
margin-top: -1px;
margin-left: 0;
}
.btn-group-vertical > .btn:not(:first-child):not(:last-child) {
border-radius: 0;
}
.btn-group-vertical > .btn:first-child:not(:last-child) {
border-top-right-radius: 2px;
border-top-left-radius: 2px;
border-bottom-right-radius: 0;
border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
border-top-right-radius: 0;
border-top-left-radius: 0;
border-bottom-right-radius: 2px;
border-bottom-left-radius: 2px;
}
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
border-radius: 0;
}
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
border-bottom-right-radius: 0;
border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
border-top-right-radius: 0;
border-top-left-radius: 0;
}
.btn-group-justified {
display: table;
width: 100%;
table-layout: fixed;
border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
float: none;
display: table-cell;
width: 1%;
}
.btn-group-justified > .btn-group .btn {
width: 100%;
}
.btn-group-justified > .btn-group .dropdown-menu {
left: auto;
}
[data-toggle="buttons"] > .btn input[type="radio"],
[data-toggle="buttons"] > .btn-group > .btn input[type="radio"],
[data-toggle="buttons"] > .btn input[type="checkbox"],
[data-toggle="buttons"] > .btn-group > .btn input[type="checkbox"] {
position: absolute;
clip: rect(0, 0, 0, 0);
pointer-events: none;
}
.input-group {
position: relative;
display: table;
border-collapse: separate;
}
.input-group[class*="col-"] {
float: none;
padding-left: 0;
padding-right: 0;
}
.input-group .form-control {
position: relative;
z-index: 2;
float: left;
width: 100%;
margin-bottom: 0;
}
.input-group .form-control:focus {
z-index: 3;
}
.input-group-lg > .form-control,
.input-group-lg > .input-group-addon,
.input-group-lg > .input-group-btn > .btn {
height: 45px;
padding: 10px 16px;
font-size: 17px;
line-height: 1.3333333;
border-radius: 3px;
}
select.input-group-lg > .form-control,
select.input-group-lg > .input-group-addon,
select.input-group-lg > .input-group-btn > .btn {
height: 45px;
line-height: 45px;
}
textarea.input-group-lg > .form-control,
textarea.input-group-lg > .input-group-addon,
textarea.input-group-lg > .input-group-btn > .btn,
select[multiple].input-group-lg > .form-control,
select[multiple].input-group-lg > .input-group-addon,
select[multiple].input-group-lg > .input-group-btn > .btn {
height: auto;
}
.input-group-sm > .form-control,
.input-group-sm > .input-group-addon,
.input-group-sm > .input-group-btn > .btn {
height: 30px;
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
}
select.input-group-sm > .form-control,
select.input-group-sm > .input-group-addon,
select.input-group-sm > .input-group-btn > .btn {
height: 30px;
line-height: 30px;
}
textarea.input-group-sm > .form-control,
textarea.input-group-sm > .input-group-addon,
textarea.input-group-sm > .input-group-btn > .btn,
select[multiple].input-group-sm > .form-control,
select[multiple].input-group-sm > .input-group-addon,
select[multiple].input-group-sm > .input-group-btn > .btn {
height: auto;
}
.input-group-addon,
.input-group-btn,
.input-group .form-control {
display: table-cell;
}
.input-group-addon:not(:first-child):not(:last-child),
.input-group-btn:not(:first-child):not(:last-child),
.input-group .form-control:not(:first-child):not(:last-child) {
border-radius: 0;
}
.input-group-addon,
.input-group-btn {
width: 1%;
white-space: nowrap;
vertical-align: middle;
}
.input-group-addon {
padding: 6px 12px;
font-size: 13px;
font-weight: normal;
line-height: 1;
color: #555555;
text-align: center;
background-color: #eeeeee;
border: 1px solid #ccc;
border-radius: 2px;
}
.input-group-addon.input-sm {
padding: 5px 10px;
font-size: 12px;
border-radius: 1px;
}
.input-group-addon.input-lg {
padding: 10px 16px;
font-size: 17px;
border-radius: 3px;
}
.input-group-addon input[type="radio"],
.input-group-addon input[type="checkbox"] {
margin-top: 0;
}
.input-group .form-control:first-child,
.input-group-addon:first-child,
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group > .btn,
.input-group-btn:first-child > .dropdown-toggle,
.input-group-btn:last-child > .btn:not(:last-child):not(.dropdown-toggle),
.input-group-btn:last-child > .btn-group:not(:last-child) > .btn {
border-bottom-right-radius: 0;
border-top-right-radius: 0;
}
.input-group-addon:first-child {
border-right: 0;
}
.input-group .form-control:last-child,
.input-group-addon:last-child,
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group > .btn,
.input-group-btn:last-child > .dropdown-toggle,
.input-group-btn:first-child > .btn:not(:first-child),
.input-group-btn:first-child > .btn-group:not(:first-child) > .btn {
border-bottom-left-radius: 0;
border-top-left-radius: 0;
}
.input-group-addon:last-child {
border-left: 0;
}
.input-group-btn {
position: relative;
font-size: 0;
white-space: nowrap;
}
.input-group-btn > .btn {
position: relative;
}
.input-group-btn > .btn + .btn {
margin-left: -1px;
}
.input-group-btn > .btn:hover,
.input-group-btn > .btn:focus,
.input-group-btn > .btn:active {
z-index: 2;
}
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group {
margin-right: -1px;
}
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group {
z-index: 2;
margin-left: -1px;
}
.nav {
margin-bottom: 0;
padding-left: 0;
list-style: none;
}
.nav > li {
position: relative;
display: block;
}
.nav > li > a {
position: relative;
display: block;
padding: 10px 15px;
}
.nav > li > a:hover,
.nav > li > a:focus {
text-decoration: none;
background-color: #eeeeee;
}
.nav > li.disabled > a {
color: #777777;
}
.nav > li.disabled > a:hover,
.nav > li.disabled > a:focus {
color: #777777;
text-decoration: none;
background-color: transparent;
cursor: not-allowed;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
background-color: #eeeeee;
border-color: #337ab7;
}
.nav .nav-divider {
height: 1px;
margin: 8px 0;
overflow: hidden;
background-color: #e5e5e5;
}
.nav > li > a > img {
max-width: none;
}
.nav-tabs {
border-bottom: 1px solid #ddd;
}
.nav-tabs > li {
float: left;
margin-bottom: -1px;
}
.nav-tabs > li > a {
margin-right: 2px;
line-height: 1.42857143;
border: 1px solid transparent;
border-radius: 2px 2px 0 0;
}
.nav-tabs > li > a:hover {
border-color: #eeeeee #eeeeee #ddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
color: #555555;
background-color: #fff;
border: 1px solid #ddd;
border-bottom-color: transparent;
cursor: default;
}
.nav-tabs.nav-justified {
width: 100%;
border-bottom: 0;
}
.nav-tabs.nav-justified > li {
float: none;
}
.nav-tabs.nav-justified > li > a {
text-align: center;
margin-bottom: 5px;
}
.nav-tabs.nav-justified > .dropdown .dropdown-menu {
top: auto;
left: auto;
}
@media (min-width: 768px) {
.nav-tabs.nav-justified > li {
display: table-cell;
width: 1%;
}
.nav-tabs.nav-justified > li > a {
margin-bottom: 0;
}
}
.nav-tabs.nav-justified > li > a {
margin-right: 0;
border-radius: 2px;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
border: 1px solid #ddd;
}
@media (min-width: 768px) {
.nav-tabs.nav-justified > li > a {
border-bottom: 1px solid #ddd;
border-radius: 2px 2px 0 0;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
border-bottom-color: #fff;
}
}
.nav-pills > li {
float: left;
}
.nav-pills > li > a {
border-radius: 2px;
}
.nav-pills > li + li {
margin-left: 2px;
}
.nav-pills > li.active > a,
.nav-pills > li.active > a:hover,
.nav-pills > li.active > a:focus {
color: #fff;
background-color: #337ab7;
}
.nav-stacked > li {
float: none;
}
.nav-stacked > li + li {
margin-top: 2px;
margin-left: 0;
}
.nav-justified {
width: 100%;
}
.nav-justified > li {
float: none;
}
.nav-justified > li > a {
text-align: center;
margin-bottom: 5px;
}
.nav-justified > .dropdown .dropdown-menu {
top: auto;
left: auto;
}
@media (min-width: 768px) {
.nav-justified > li {
display: table-cell;
width: 1%;
}
.nav-justified > li > a {
margin-bottom: 0;
}
}
.nav-tabs-justified {
border-bottom: 0;
}
.nav-tabs-justified > li > a {
margin-right: 0;
border-radius: 2px;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
border: 1px solid #ddd;
}
@media (min-width: 768px) {
.nav-tabs-justified > li > a {
border-bottom: 1px solid #ddd;
border-radius: 2px 2px 0 0;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
border-bottom-color: #fff;
}
}
.tab-content > .tab-pane {
display: none;
}
.tab-content > .active {
display: block;
}
.nav-tabs .dropdown-menu {
margin-top: -1px;
border-top-right-radius: 0;
border-top-left-radius: 0;
}
.navbar {
position: relative;
min-height: 30px;
margin-bottom: 18px;
border: 1px solid transparent;
}
@media (min-width: 541px) {
.navbar {
border-radius: 2px;
}
}
@media (min-width: 541px) {
.navbar-header {
float: left;
}
}
.navbar-collapse {
overflow-x: visible;
padding-right: 0px;
padding-left: 0px;
border-top: 1px solid transparent;
box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1);
-webkit-overflow-scrolling: touch;
}
.navbar-collapse.in {
overflow-y: auto;
}
@media (min-width: 541px) {
.navbar-collapse {
width: auto;
border-top: 0;
box-shadow: none;
}
.navbar-collapse.collapse {
display: block !important;
height: auto !important;
padding-bottom: 0;
overflow: visible !important;
}
.navbar-collapse.in {
overflow-y: visible;
}
.navbar-fixed-top .navbar-collapse,
.navbar-static-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
padding-left: 0;
padding-right: 0;
}
}
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
max-height: 340px;
}
@media (max-device-width: 540px) and (orientation: landscape) {
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
max-height: 200px;
}
}
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
margin-right: 0px;
margin-left: 0px;
}
@media (min-width: 541px) {
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
margin-right: 0;
margin-left: 0;
}
}
.navbar-static-top {
z-index: 1000;
border-width: 0 0 1px;
}
@media (min-width: 541px) {
.navbar-static-top {
border-radius: 0;
}
}
.navbar-fixed-top,
.navbar-fixed-bottom {
position: fixed;
right: 0;
left: 0;
z-index: 1030;
}
@media (min-width: 541px) {
.navbar-fixed-top,
.navbar-fixed-bottom {
border-radius: 0;
}
}
.navbar-fixed-top {
top: 0;
border-width: 0 0 1px;
}
.navbar-fixed-bottom {
bottom: 0;
margin-bottom: 0;
border-width: 1px 0 0;
}
.navbar-brand {
float: left;
padding: 6px 0px;
font-size: 17px;
line-height: 18px;
height: 30px;
}
.navbar-brand:hover,
.navbar-brand:focus {
text-decoration: none;
}
.navbar-brand > img {
display: block;
}
@media (min-width: 541px) {
.navbar > .container .navbar-brand,
.navbar > .container-fluid .navbar-brand {
margin-left: 0px;
}
}
.navbar-toggle {
position: relative;
float: right;
margin-right: 0px;
padding: 9px 10px;
margin-top: -2px;
margin-bottom: -2px;
background-color: transparent;
background-image: none;
border: 1px solid transparent;
border-radius: 2px;
}
.navbar-toggle:focus {
outline: 0;
}
.navbar-toggle .icon-bar {
display: block;
width: 22px;
height: 2px;
border-radius: 1px;
}
.navbar-toggle .icon-bar + .icon-bar {
margin-top: 4px;
}
@media (min-width: 541px) {
.navbar-toggle {
display: none;
}
}
.navbar-nav {
margin: 3px 0px;
}
.navbar-nav > li > a {
padding-top: 10px;
padding-bottom: 10px;
line-height: 18px;
}
@media (max-width: 540px) {
.navbar-nav .open .dropdown-menu {
position: static;
float: none;
width: auto;
margin-top: 0;
background-color: transparent;
border: 0;
box-shadow: none;
}
.navbar-nav .open .dropdown-menu > li > a,
.navbar-nav .open .dropdown-menu .dropdown-header {
padding: 5px 15px 5px 25px;
}
.navbar-nav .open .dropdown-menu > li > a {
line-height: 18px;
}
.navbar-nav .open .dropdown-menu > li > a:hover,
.navbar-nav .open .dropdown-menu > li > a:focus {
background-image: none;
}
}
@media (min-width: 541px) {
.navbar-nav {
float: left;
margin: 0;
}
.navbar-nav > li {
float: left;
}
.navbar-nav > li > a {
padding-top: 6px;
padding-bottom: 6px;
}
}
.navbar-form {
margin-left: 0px;
margin-right: 0px;
padding: 10px 0px;
border-top: 1px solid transparent;
border-bottom: 1px solid transparent;
-webkit-box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
margin-top: -1px;
margin-bottom: -1px;
}
@media (min-width: 768px) {
.navbar-form .form-group {
display: inline-block;
margin-bottom: 0;
vertical-align: middle;
}
.navbar-form .form-control {
display: inline-block;
width: auto;
vertical-align: middle;
}
.navbar-form .form-control-static {
display: inline-block;
}
.navbar-form .input-group {
display: inline-table;
vertical-align: middle;
}
.navbar-form .input-group .input-group-addon,
.navbar-form .input-group .input-group-btn,
.navbar-form .input-group .form-control {
width: auto;
}
.navbar-form .input-group > .form-control {
width: 100%;
}
.navbar-form .control-label {
margin-bottom: 0;
vertical-align: middle;
}
.navbar-form .radio,
.navbar-form .checkbox {
display: inline-block;
margin-top: 0;
margin-bottom: 0;
vertical-align: middle;
}
.navbar-form .radio label,
.navbar-form .checkbox label {
padding-left: 0;
}
.navbar-form .radio input[type="radio"],
.navbar-form .checkbox input[type="checkbox"] {
position: relative;
margin-left: 0;
}
.navbar-form .has-feedback .form-control-feedback {
top: 0;
}
}
@media (max-width: 540px) {
.navbar-form .form-group {
margin-bottom: 5px;
}
.navbar-form .form-group:last-child {
margin-bottom: 0;
}
}
@media (min-width: 541px) {
.navbar-form {
width: auto;
border: 0;
margin-left: 0;
margin-right: 0;
padding-top: 0;
padding-bottom: 0;
-webkit-box-shadow: none;
box-shadow: none;
}
}
.navbar-nav > li > .dropdown-menu {
margin-top: 0;
border-top-right-radius: 0;
border-top-left-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
margin-bottom: 0;
border-top-right-radius: 2px;
border-top-left-radius: 2px;
border-bottom-right-radius: 0;
border-bottom-left-radius: 0;
}
.navbar-btn {
margin-top: -1px;
margin-bottom: -1px;
}
.navbar-btn.btn-sm {
margin-top: 0px;
margin-bottom: 0px;
}
.navbar-btn.btn-xs {
margin-top: 4px;
margin-bottom: 4px;
}
.navbar-text {
margin-top: 6px;
margin-bottom: 6px;
}
@media (min-width: 541px) {
.navbar-text {
float: left;
margin-left: 0px;
margin-right: 0px;
}
}
@media (min-width: 541px) {
.navbar-left {
float: left !important;
float: left;
}
.navbar-right {
float: right !important;
float: right;
margin-right: 0px;
}
.navbar-right ~ .navbar-right {
margin-right: 0;
}
}
.navbar-default {
background-color: #f8f8f8;
border-color: #e7e7e7;
}
.navbar-default .navbar-brand {
color: #777;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
color: #5e5e5e;
background-color: transparent;
}
.navbar-default .navbar-text {
color: #777;
}
.navbar-default .navbar-nav > li > a {
color: #777;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
color: #333;
background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
color: #555;
background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
color: #ccc;
background-color: transparent;
}
.navbar-default .navbar-toggle {
border-color: #ddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
background-color: #ddd;
}
.navbar-default .navbar-toggle .icon-bar {
background-color: #888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
border-color: #e7e7e7;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
background-color: #e7e7e7;
color: #555;
}
@media (max-width: 540px) {
.navbar-default .navbar-nav .open .dropdown-menu > li > a {
color: #777;
}
.navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
.navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
color: #333;
background-color: transparent;
}
.navbar-default .navbar-nav .open .dropdown-menu > .active > a,
.navbar-default .navbar-nav .open .dropdown-menu > .active > a:hover,
.navbar-default .navbar-nav .open .dropdown-menu > .active > a:focus {
color: #555;
background-color: #e7e7e7;
}
.navbar-default .navbar-nav .open .dropdown-menu > .disabled > a,
.navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:hover,
.navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:focus {
color: #ccc;
background-color: transparent;
}
}
.navbar-default .navbar-link {
color: #777;
}
.navbar-default .navbar-link:hover {
color: #333;
}
.navbar-default .btn-link {
color: #777;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
color: #333;
}
.navbar-default .btn-link[disabled]:hover,
fieldset[disabled] .navbar-default .btn-link:hover,
.navbar-default .btn-link[disabled]:focus,
fieldset[disabled] .navbar-default .btn-link:focus {
color: #ccc;
}
.navbar-inverse {
background-color: #222;
border-color: #080808;
}
.navbar-inverse .navbar-brand {
color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
color: #fff;
background-color: transparent;
}
.navbar-inverse .navbar-text {
color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a {
color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a:hover,
.navbar-inverse .navbar-nav > li > a:focus {
color: #fff;
background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
color: #fff;
background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
color: #444;
background-color: transparent;
}
.navbar-inverse .navbar-toggle {
border-color: #333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
background-color: #333;
}
.navbar-inverse .navbar-toggle .icon-bar {
background-color: #fff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
border-color: #101010;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
background-color: #080808;
color: #fff;
}
@media (max-width: 540px) {
.navbar-inverse .navbar-nav .open .dropdown-menu > .dropdown-header {
border-color: #080808;
}
.navbar-inverse .navbar-nav .open .dropdown-menu .divider {
background-color: #080808;
}
.navbar-inverse .navbar-nav .open .dropdown-menu > li > a {
color: #9d9d9d;
}
.navbar-inverse .navbar-nav .open .dropdown-menu > li > a:hover,
.navbar-inverse .navbar-nav .open .dropdown-menu > li > a:focus {
color: #fff;
background-color: transparent;
}
.navbar-inverse .navbar-nav .open .dropdown-menu > .active > a,
.navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:hover,
.navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:focus {
color: #fff;
background-color: #080808;
}
.navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a,
.navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:hover,
.navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:focus {
color: #444;
background-color: transparent;
}
}
.navbar-inverse .navbar-link {
color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
color: #fff;
}
.navbar-inverse .btn-link {
color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
color: #fff;
}
.navbar-inverse .btn-link[disabled]:hover,
fieldset[disabled] .navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link[disabled]:focus,
fieldset[disabled] .navbar-inverse .btn-link:focus {
color: #444;
}
.breadcrumb {
padding: 8px 15px;
margin-bottom: 18px;
list-style: none;
background-color: #f5f5f5;
border-radius: 2px;
}
.breadcrumb > li {
display: inline-block;
}
.breadcrumb > li + li:before {
content: "/\00a0";
padding: 0 5px;
color: #5e5e5e;
}
.breadcrumb > .active {
color: #777777;
}
.pagination {
display: inline-block;
padding-left: 0;
margin: 18px 0;
border-radius: 2px;
}
.pagination > li {
display: inline;
}
.pagination > li > a,
.pagination > li > span {
position: relative;
float: left;
padding: 6px 12px;
line-height: 1.42857143;
text-decoration: none;
color: #337ab7;
background-color: #fff;
border: 1px solid #ddd;
margin-left: -1px;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
margin-left: 0;
border-bottom-left-radius: 2px;
border-top-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
border-bottom-right-radius: 2px;
border-top-right-radius: 2px;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
z-index: 2;
color: #23527c;
background-color: #eeeeee;
border-color: #ddd;
}
.pagination > .active > a,
.pagination > .active > span,
.pagination > .active > a:hover,
.pagination > .active > span:hover,
.pagination > .active > a:focus,
.pagination > .active > span:focus {
z-index: 3;
color: #fff;
background-color: #337ab7;
border-color: #337ab7;
cursor: default;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
color: #777777;
background-color: #fff;
border-color: #ddd;
cursor: not-allowed;
}
.pagination-lg > li > a,
.pagination-lg > li > span {
padding: 10px 16px;
font-size: 17px;
line-height: 1.3333333;
}
.pagination-lg > li:first-child > a,
.pagination-lg > li:first-child > span {
border-bottom-left-radius: 3px;
border-top-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
border-bottom-right-radius: 3px;
border-top-right-radius: 3px;
}
.pagination-sm > li > a,
.pagination-sm > li > span {
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
}
.pagination-sm > li:first-child > a,
.pagination-sm > li:first-child > span {
border-bottom-left-radius: 1px;
border-top-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
border-bottom-right-radius: 1px;
border-top-right-radius: 1px;
}
.pager {
padding-left: 0;
margin: 18px 0;
list-style: none;
text-align: center;
}
.pager li {
display: inline;
}
.pager li > a,
.pager li > span {
display: inline-block;
padding: 5px 14px;
background-color: #fff;
border: 1px solid #ddd;
border-radius: 15px;
}
.pager li > a:hover,
.pager li > a:focus {
text-decoration: none;
background-color: #eeeeee;
}
.pager .next > a,
.pager .next > span {
float: right;
}
.pager .previous > a,
.pager .previous > span {
float: left;
}
.pager .disabled > a,
.pager .disabled > a:hover,
.pager .disabled > a:focus,
.pager .disabled > span {
color: #777777;
background-color: #fff;
cursor: not-allowed;
}
.label {
display: inline;
padding: .2em .6em .3em;
font-size: 75%;
font-weight: bold;
line-height: 1;
color: #fff;
text-align: center;
white-space: nowrap;
vertical-align: baseline;
border-radius: .25em;
}
a.label:hover,
a.label:focus {
color: #fff;
text-decoration: none;
cursor: pointer;
}
.label:empty {
display: none;
}
.btn .label {
position: relative;
top: -1px;
}
.label-default {
background-color: #777777;
}
.label-default[href]:hover,
.label-default[href]:focus {
background-color: #5e5e5e;
}
.label-primary {
background-color: #337ab7;
}
.label-primary[href]:hover,
.label-primary[href]:focus {
background-color: #286090;
}
.label-success {
background-color: #5cb85c;
}
.label-success[href]:hover,
.label-success[href]:focus {
background-color: #449d44;
}
.label-info {
background-color: #5bc0de;
}
.label-info[href]:hover,
.label-info[href]:focus {
background-color: #31b0d5;
}
.label-warning {
background-color: #f0ad4e;
}
.label-warning[href]:hover,
.label-warning[href]:focus {
background-color: #ec971f;
}
.label-danger {
background-color: #d9534f;
}
.label-danger[href]:hover,
.label-danger[href]:focus {
background-color: #c9302c;
}
.badge {
display: inline-block;
min-width: 10px;
padding: 3px 7px;
font-size: 12px;
font-weight: bold;
color: #fff;
line-height: 1;
vertical-align: middle;
white-space: nowrap;
text-align: center;
background-color: #777777;
border-radius: 10px;
}
.badge:empty {
display: none;
}
.btn .badge {
position: relative;
top: -1px;
}
.btn-xs .badge,
.btn-group-xs > .btn .badge {
top: 0;
padding: 1px 5px;
}
a.badge:hover,
a.badge:focus {
color: #fff;
text-decoration: none;
cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
color: #337ab7;
background-color: #fff;
}
.list-group-item > .badge {
float: right;
}
.list-group-item > .badge + .badge {
margin-right: 5px;
}
.nav-pills > li > a > .badge {
margin-left: 3px;
}
.jumbotron {
padding-top: 30px;
padding-bottom: 30px;
margin-bottom: 30px;
color: inherit;
background-color: #eeeeee;
}
.jumbotron h1,
.jumbotron .h1 {
color: inherit;
}
.jumbotron p {
margin-bottom: 15px;
font-size: 20px;
font-weight: 200;
}
.jumbotron > hr {
border-top-color: #d5d5d5;
}
.container .jumbotron,
.container-fluid .jumbotron {
border-radius: 3px;
padding-left: 0px;
padding-right: 0px;
}
.jumbotron .container {
max-width: 100%;
}
@media screen and (min-width: 768px) {
.jumbotron {
padding-top: 48px;
padding-bottom: 48px;
}
.container .jumbotron,
.container-fluid .jumbotron {
padding-left: 60px;
padding-right: 60px;
}
.jumbotron h1,
.jumbotron .h1 {
font-size: 59px;
}
}
.thumbnail {
display: block;
padding: 4px;
margin-bottom: 18px;
line-height: 1.42857143;
background-color: #fff;
border: 1px solid #ddd;
border-radius: 2px;
-webkit-transition: border 0.2s ease-in-out;
-o-transition: border 0.2s ease-in-out;
transition: border 0.2s ease-in-out;
}
.thumbnail > img,
.thumbnail a > img {
margin-left: auto;
margin-right: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
border-color: #337ab7;
}
.thumbnail .caption {
padding: 9px;
color: #000;
}
.alert {
padding: 15px;
margin-bottom: 18px;
border: 1px solid transparent;
border-radius: 2px;
}
.alert h4 {
margin-top: 0;
color: inherit;
}
.alert .alert-link {
font-weight: bold;
}
.alert > p,
.alert > ul {
margin-bottom: 0;
}
.alert > p + p {
margin-top: 5px;
}
.alert-dismissable,
.alert-dismissible {
padding-right: 35px;
}
.alert-dismissable .close,
.alert-dismissible .close {
position: relative;
top: -2px;
right: -21px;
color: inherit;
}
.alert-success {
background-color: #dff0d8;
border-color: #d6e9c6;
color: #3c763d;
}
.alert-success hr {
border-top-color: #c9e2b3;
}
.alert-success .alert-link {
color: #2b542c;
}
.alert-info {
background-color: #d9edf7;
border-color: #bce8f1;
color: #31708f;
}
.alert-info hr {
border-top-color: #a6e1ec;
}
.alert-info .alert-link {
color: #245269;
}
.alert-warning {
background-color: #fcf8e3;
border-color: #faebcc;
color: #8a6d3b;
}
.alert-warning hr {
border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
color: #66512c;
}
.alert-danger {
background-color: #f2dede;
border-color: #ebccd1;
color: #a94442;
}
.alert-danger hr {
border-top-color: #e4b9c0;
}
.alert-danger .alert-link {
color: #843534;
}
@-webkit-keyframes progress-bar-stripes {
from {
background-position: 40px 0;
}
to {
background-position: 0 0;
}
}
@keyframes progress-bar-stripes {
from {
background-position: 40px 0;
}
to {
background-position: 0 0;
}
}
.progress {
overflow: hidden;
height: 18px;
margin-bottom: 18px;
background-color: #f5f5f5;
border-radius: 2px;
-webkit-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
}
.progress-bar {
float: left;
width: 0%;
height: 100%;
font-size: 12px;
line-height: 18px;
color: #fff;
text-align: center;
background-color: #337ab7;
-webkit-box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
-webkit-transition: width 0.6s ease;
-o-transition: width 0.6s ease;
transition: width 0.6s ease;
}
.progress-striped .progress-bar,
.progress-bar-striped {
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-size: 40px 40px;
}
.progress.active .progress-bar,
.progress-bar.active {
-webkit-animation: progress-bar-stripes 2s linear infinite;
-o-animation: progress-bar-stripes 2s linear infinite;
animation: progress-bar-stripes 2s linear infinite;
}
.progress-bar-success {
background-color: #5cb85c;
}
.progress-striped .progress-bar-success {
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-info {
background-color: #5bc0de;
}
.progress-striped .progress-bar-info {
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-warning {
background-color: #f0ad4e;
}
.progress-striped .progress-bar-warning {
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-danger {
background-color: #d9534f;
}
.progress-striped .progress-bar-danger {
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.media {
margin-top: 15px;
}
.media:first-child {
margin-top: 0;
}
.media,
.media-body {
zoom: 1;
overflow: hidden;
}
.media-body {
width: 10000px;
}
.media-object {
display: block;
}
.media-object.img-thumbnail {
max-width: none;
}
.media-right,
.media > .pull-right {
padding-left: 10px;
}
.media-left,
.media > .pull-left {
padding-right: 10px;
}
.media-left,
.media-right,
.media-body {
display: table-cell;
vertical-align: top;
}
.media-middle {
vertical-align: middle;
}
.media-bottom {
vertical-align: bottom;
}
.media-heading {
margin-top: 0;
margin-bottom: 5px;
}
.media-list {
padding-left: 0;
list-style: none;
}
.list-group {
margin-bottom: 20px;
padding-left: 0;
}
.list-group-item {
position: relative;
display: block;
padding: 10px 15px;
margin-bottom: -1px;
background-color: #fff;
border: 1px solid #ddd;
}
.list-group-item:first-child {
border-top-right-radius: 2px;
border-top-left-radius: 2px;
}
.list-group-item:last-child {
margin-bottom: 0;
border-bottom-right-radius: 2px;
border-bottom-left-radius: 2px;
}
a.list-group-item,
button.list-group-item {
color: #555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
color: #333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
text-decoration: none;
color: #555;
background-color: #f5f5f5;
}
button.list-group-item {
width: 100%;
text-align: left;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
background-color: #eeeeee;
color: #777777;
cursor: not-allowed;
}
.list-group-item.disabled .list-group-item-heading,
.list-group-item.disabled:hover .list-group-item-heading,
.list-group-item.disabled:focus .list-group-item-heading {
color: inherit;
}
.list-group-item.disabled .list-group-item-text,
.list-group-item.disabled:hover .list-group-item-text,
.list-group-item.disabled:focus .list-group-item-text {
color: #777777;
}
.list-group-item.active,
.list-group-item.active:hover,
.list-group-item.active:focus {
z-index: 2;
color: #fff;
background-color: #337ab7;
border-color: #337ab7;
}
.list-group-item.active .list-group-item-heading,
.list-group-item.active:hover .list-group-item-heading,
.list-group-item.active:focus .list-group-item-heading,
.list-group-item.active .list-group-item-heading > small,
.list-group-item.active:hover .list-group-item-heading > small,
.list-group-item.active:focus .list-group-item-heading > small,
.list-group-item.active .list-group-item-heading > .small,
.list-group-item.active:hover .list-group-item-heading > .small,
.list-group-item.active:focus .list-group-item-heading > .small {
color: inherit;
}
.list-group-item.active .list-group-item-text,
.list-group-item.active:hover .list-group-item-text,
.list-group-item.active:focus .list-group-item-text {
color: #c7ddef;
}
.list-group-item-success {
color: #3c763d;
background-color: #dff0d8;
}
a.list-group-item-success,
button.list-group-item-success {
color: #3c763d;
}
a.list-group-item-success .list-group-item-heading,
button.list-group-item-success .list-group-item-heading {
color: inherit;
}
a.list-group-item-success:hover,
button.list-group-item-success:hover,
a.list-group-item-success:focus,
button.list-group-item-success:focus {
color: #3c763d;
background-color: #d0e9c6;
}
a.list-group-item-success.active,
button.list-group-item-success.active,
a.list-group-item-success.active:hover,
button.list-group-item-success.active:hover,
a.list-group-item-success.active:focus,
button.list-group-item-success.active:focus {
color: #fff;
background-color: #3c763d;
border-color: #3c763d;
}
.list-group-item-info {
color: #31708f;
background-color: #d9edf7;
}
a.list-group-item-info,
button.list-group-item-info {
color: #31708f;
}
a.list-group-item-info .list-group-item-heading,
button.list-group-item-info .list-group-item-heading {
color: inherit;
}
a.list-group-item-info:hover,
button.list-group-item-info:hover,
a.list-group-item-info:focus,
button.list-group-item-info:focus {
color: #31708f;
background-color: #c4e3f3;
}
a.list-group-item-info.active,
button.list-group-item-info.active,
a.list-group-item-info.active:hover,
button.list-group-item-info.active:hover,
a.list-group-item-info.active:focus,
button.list-group-item-info.active:focus {
color: #fff;
background-color: #31708f;
border-color: #31708f;
}
.list-group-item-warning {
color: #8a6d3b;
background-color: #fcf8e3;
}
a.list-group-item-warning,
button.list-group-item-warning {
color: #8a6d3b;
}
a.list-group-item-warning .list-group-item-heading,
button.list-group-item-warning .list-group-item-heading {
color: inherit;
}
a.list-group-item-warning:hover,
button.list-group-item-warning:hover,
a.list-group-item-warning:focus,
button.list-group-item-warning:focus {
color: #8a6d3b;
background-color: #faf2cc;
}
a.list-group-item-warning.active,
button.list-group-item-warning.active,
a.list-group-item-warning.active:hover,
button.list-group-item-warning.active:hover,
a.list-group-item-warning.active:focus,
button.list-group-item-warning.active:focus {
color: #fff;
background-color: #8a6d3b;
border-color: #8a6d3b;
}
.list-group-item-danger {
color: #a94442;
background-color: #f2dede;
}
a.list-group-item-danger,
button.list-group-item-danger {
color: #a94442;
}
a.list-group-item-danger .list-group-item-heading,
button.list-group-item-danger .list-group-item-heading {
color: inherit;
}
a.list-group-item-danger:hover,
button.list-group-item-danger:hover,
a.list-group-item-danger:focus,
button.list-group-item-danger:focus {
color: #a94442;
background-color: #ebcccc;
}
a.list-group-item-danger.active,
button.list-group-item-danger.active,
a.list-group-item-danger.active:hover,
button.list-group-item-danger.active:hover,
a.list-group-item-danger.active:focus,
button.list-group-item-danger.active:focus {
color: #fff;
background-color: #a94442;
border-color: #a94442;
}
.list-group-item-heading {
margin-top: 0;
margin-bottom: 5px;
}
.list-group-item-text {
margin-bottom: 0;
line-height: 1.3;
}
.panel {
margin-bottom: 18px;
background-color: #fff;
border: 1px solid transparent;
border-radius: 2px;
-webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
}
.panel-body {
padding: 15px;
}
.panel-heading {
padding: 10px 15px;
border-bottom: 1px solid transparent;
border-top-right-radius: 1px;
border-top-left-radius: 1px;
}
.panel-heading > .dropdown .dropdown-toggle {
color: inherit;
}
.panel-title {
margin-top: 0;
margin-bottom: 0;
font-size: 15px;
color: inherit;
}
.panel-title > a,
.panel-title > small,
.panel-title > .small,
.panel-title > small > a,
.panel-title > .small > a {
color: inherit;
}
.panel-footer {
padding: 10px 15px;
background-color: #f5f5f5;
border-top: 1px solid #ddd;
border-bottom-right-radius: 1px;
border-bottom-left-radius: 1px;
}
.panel > .list-group,
.panel > .panel-collapse > .list-group {
margin-bottom: 0;
}
.panel > .list-group .list-group-item,
.panel > .panel-collapse > .list-group .list-group-item {
border-width: 1px 0;
border-radius: 0;
}
.panel > .list-group:first-child .list-group-item:first-child,
.panel > .panel-collapse > .list-group:first-child .list-group-item:first-child {
border-top: 0;
border-top-right-radius: 1px;
border-top-left-radius: 1px;
}
.panel > .list-group:last-child .list-group-item:last-child,
.panel > .panel-collapse > .list-group:last-child .list-group-item:last-child {
border-bottom: 0;
border-bottom-right-radius: 1px;
border-bottom-left-radius: 1px;
}
.panel > .panel-heading + .panel-collapse > .list-group .list-group-item:first-child {
border-top-right-radius: 0;
border-top-left-radius: 0;
}
.panel-heading + .list-group .list-group-item:first-child {
border-top-width: 0;
}
.list-group + .panel-footer {
border-top-width: 0;
}
.panel > .table,
.panel > .table-responsive > .table,
.panel > .panel-collapse > .table {
margin-bottom: 0;
}
.panel > .table caption,
.panel > .table-responsive > .table caption,
.panel > .panel-collapse > .table caption {
padding-left: 15px;
padding-right: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
border-top-right-radius: 1px;
border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child {
border-top-left-radius: 1px;
border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:first-child {
border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:last-child {
border-top-right-radius: 1px;
}
.panel > .table:last-child,
.panel > .table-responsive:last-child > .table:last-child {
border-bottom-right-radius: 1px;
border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child {
border-bottom-left-radius: 1px;
border-bottom-right-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:first-child {
border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:last-child {
border-bottom-right-radius: 1px;
}
.panel > .panel-body + .table,
.panel > .panel-body + .table-responsive,
.panel > .table + .panel-body,
.panel > .table-responsive + .panel-body {
border-top: 1px solid #ddd;
}
.panel > .table > tbody:first-child > tr:first-child th,
.panel > .table > tbody:first-child > tr:first-child td {
border-top: 0;
}
.panel > .table-bordered,
.panel > .table-responsive > .table-bordered {
border: 0;
}
.panel > .table-bordered > thead > tr > th:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:first-child,
.panel > .table-bordered > tbody > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:first-child,
.panel > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-bordered > thead > tr > td:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:first-child,
.panel > .table-bordered > tbody > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:first-child,
.panel > .table-bordered > tfoot > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:first-child {
border-left: 0;
}
.panel > .table-bordered > thead > tr > th:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:last-child,
.panel > .table-bordered > tbody > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:last-child,
.panel > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-bordered > thead > tr > td:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:last-child,
.panel > .table-bordered > tbody > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:last-child,
.panel > .table-bordered > tfoot > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:last-child {
border-right: 0;
}
.panel > .table-bordered > thead > tr:first-child > td,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > td,
.panel > .table-bordered > tbody > tr:first-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > td,
.panel > .table-bordered > thead > tr:first-child > th,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > th,
.panel > .table-bordered > tbody > tr:first-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > th {
border-bottom: 0;
}
.panel > .table-bordered > tbody > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > td,
.panel > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-bordered > tbody > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > th,
.panel > .table-bordered > tfoot > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > th {
border-bottom: 0;
}
.panel > .table-responsive {
border: 0;
margin-bottom: 0;
}
.panel-group {
margin-bottom: 18px;
}
.panel-group .panel {
margin-bottom: 0;
border-radius: 2px;
}
.panel-group .panel + .panel {
margin-top: 5px;
}
.panel-group .panel-heading {
border-bottom: 0;
}
.panel-group .panel-heading + .panel-collapse > .panel-body,
.panel-group .panel-heading + .panel-collapse > .list-group {
border-top: 1px solid #ddd;
}
.panel-group .panel-footer {
border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
border-bottom: 1px solid #ddd;
}
.panel-default {
border-color: #ddd;
}
.panel-default > .panel-heading {
color: #333333;
background-color: #f5f5f5;
border-color: #ddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
border-top-color: #ddd;
}
.panel-default > .panel-heading .badge {
color: #f5f5f5;
background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
border-bottom-color: #ddd;
}
.panel-primary {
border-color: #337ab7;
}
.panel-primary > .panel-heading {
color: #fff;
background-color: #337ab7;
border-color: #337ab7;
}
.panel-primary > .panel-heading + .panel-collapse > .panel-body {
border-top-color: #337ab7;
}
.panel-primary > .panel-heading .badge {
color: #337ab7;
background-color: #fff;
}
.panel-primary > .panel-footer + .panel-collapse > .panel-body {
border-bottom-color: #337ab7;
}
.panel-success {
border-color: #d6e9c6;
}
.panel-success > .panel-heading {
color: #3c763d;
background-color: #dff0d8;
border-color: #d6e9c6;
}
.panel-success > .panel-heading + .panel-collapse > .panel-body {
border-top-color: #d6e9c6;
}
.panel-success > .panel-heading .badge {
color: #dff0d8;
background-color: #3c763d;
}
.panel-success > .panel-footer + .panel-collapse > .panel-body {
border-bottom-color: #d6e9c6;
}
.panel-info {
border-color: #bce8f1;
}
.panel-info > .panel-heading {
color: #31708f;
background-color: #d9edf7;
border-color: #bce8f1;
}
.panel-info > .panel-heading + .panel-collapse > .panel-body {
border-top-color: #bce8f1;
}
.panel-info > .panel-heading .badge {
color: #d9edf7;
background-color: #31708f;
}
.panel-info > .panel-footer + .panel-collapse > .panel-body {
border-bottom-color: #bce8f1;
}
.panel-warning {
border-color: #faebcc;
}
.panel-warning > .panel-heading {
color: #8a6d3b;
background-color: #fcf8e3;
border-color: #faebcc;
}
.panel-warning > .panel-heading + .panel-collapse > .panel-body {
border-top-color: #faebcc;
}
.panel-warning > .panel-heading .badge {
color: #fcf8e3;
background-color: #8a6d3b;
}
.panel-warning > .panel-footer + .panel-collapse > .panel-body {
border-bottom-color: #faebcc;
}
.panel-danger {
border-color: #ebccd1;
}
.panel-danger > .panel-heading {
color: #a94442;
background-color: #f2dede;
border-color: #ebccd1;
}
.panel-danger > .panel-heading + .panel-collapse > .panel-body {
border-top-color: #ebccd1;
}
.panel-danger > .panel-heading .badge {
color: #f2dede;
background-color: #a94442;
}
.panel-danger > .panel-footer + .panel-collapse > .panel-body {
border-bottom-color: #ebccd1;
}
.embed-responsive {
position: relative;
display: block;
height: 0;
padding: 0;
overflow: hidden;
}
.embed-responsive .embed-responsive-item,
.embed-responsive iframe,
.embed-responsive embed,
.embed-responsive object,
.embed-responsive video {
position: absolute;
top: 0;
left: 0;
bottom: 0;
height: 100%;
width: 100%;
border: 0;
}
.embed-responsive-16by9 {
padding-bottom: 56.25%;
}
.embed-responsive-4by3 {
padding-bottom: 75%;
}
.well {
min-height: 20px;
padding: 19px;
margin-bottom: 20px;
background-color: #f5f5f5;
border: 1px solid #e3e3e3;
border-radius: 2px;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
}
.well blockquote {
border-color: #ddd;
border-color: rgba(0, 0, 0, 0.15);
}
.well-lg {
padding: 24px;
border-radius: 3px;
}
.well-sm {
padding: 9px;
border-radius: 1px;
}
.close {
float: right;
font-size: 19.5px;
font-weight: bold;
line-height: 1;
color: #000;
text-shadow: 0 1px 0 #fff;
opacity: 0.2;
filter: alpha(opacity=20);
}
.close:hover,
.close:focus {
color: #000;
text-decoration: none;
cursor: pointer;
opacity: 0.5;
filter: alpha(opacity=50);
}
button.close {
padding: 0;
cursor: pointer;
background: transparent;
border: 0;
-webkit-appearance: none;
}
.modal-open {
overflow: hidden;
}
.modal {
display: none;
overflow: hidden;
position: fixed;
top: 0;
right: 0;
bottom: 0;
left: 0;
z-index: 1050;
-webkit-overflow-scrolling: touch;
outline: 0;
}
.modal.fade .modal-dialog {
-webkit-transform: translate(0, -25%);
-ms-transform: translate(0, -25%);
-o-transform: translate(0, -25%);
transform: translate(0, -25%);
-webkit-transition: -webkit-transform 0.3s ease-out;
-moz-transition: -moz-transform 0.3s ease-out;
-o-transition: -o-transform 0.3s ease-out;
transition: transform 0.3s ease-out;
}
.modal.in .modal-dialog {
-webkit-transform: translate(0, 0);
-ms-transform: translate(0, 0);
-o-transform: translate(0, 0);
transform: translate(0, 0);
}
.modal-open .modal {
overflow-x: hidden;
overflow-y: auto;
}
.modal-dialog {
position: relative;
width: auto;
margin: 10px;
}
.modal-content {
position: relative;
background-color: #fff;
border: 1px solid #999;
border: 1px solid rgba(0, 0, 0, 0.2);
border-radius: 3px;
-webkit-box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
background-clip: padding-box;
outline: 0;
}
.modal-backdrop {
position: fixed;
top: 0;
right: 0;
bottom: 0;
left: 0;
z-index: 1040;
background-color: #000;
}
.modal-backdrop.fade {
opacity: 0;
filter: alpha(opacity=0);
}
.modal-backdrop.in {
opacity: 0.5;
filter: alpha(opacity=50);
}
.modal-header {
padding: 15px;
border-bottom: 1px solid #e5e5e5;
}
.modal-header .close {
margin-top: -2px;
}
.modal-title {
margin: 0;
line-height: 1.42857143;
}
.modal-body {
position: relative;
padding: 15px;
}
.modal-footer {
padding: 15px;
text-align: right;
border-top: 1px solid #e5e5e5;
}
.modal-footer .btn + .btn {
margin-left: 5px;
margin-bottom: 0;
}
.modal-footer .btn-group .btn + .btn {
margin-left: -1px;
}
.modal-footer .btn-block + .btn-block {
margin-left: 0;
}
.modal-scrollbar-measure {
position: absolute;
top: -9999px;
width: 50px;
height: 50px;
overflow: scroll;
}
@media (min-width: 768px) {
.modal-dialog {
width: 600px;
margin: 30px auto;
}
.modal-content {
-webkit-box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
}
.modal-sm {
width: 300px;
}
}
@media (min-width: 992px) {
.modal-lg {
width: 900px;
}
}
.tooltip {
position: absolute;
z-index: 1070;
display: block;
font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
font-style: normal;
font-weight: normal;
letter-spacing: normal;
line-break: auto;
line-height: 1.42857143;
text-align: left;
text-align: start;
text-decoration: none;
text-shadow: none;
text-transform: none;
white-space: normal;
word-break: normal;
word-spacing: normal;
word-wrap: normal;
font-size: 12px;
opacity: 0;
filter: alpha(opacity=0);
}
.tooltip.in {
opacity: 0.9;
filter: alpha(opacity=90);
}
.tooltip.top {
margin-top: -3px;
padding: 5px 0;
}
.tooltip.right {
margin-left: 3px;
padding: 0 5px;
}
.tooltip.bottom {
margin-top: 3px;
padding: 5px 0;
}
.tooltip.left {
margin-left: -3px;
padding: 0 5px;
}
.tooltip-inner {
max-width: 200px;
padding: 3px 8px;
color: #fff;
text-align: center;
background-color: #000;
border-radius: 2px;
}
.tooltip-arrow {
position: absolute;
width: 0;
height: 0;
border-color: transparent;
border-style: solid;
}
.tooltip.top .tooltip-arrow {
bottom: 0;
left: 50%;
margin-left: -5px;
border-width: 5px 5px 0;
border-top-color: #000;
}
.tooltip.top-left .tooltip-arrow {
bottom: 0;
right: 5px;
margin-bottom: -5px;
border-width: 5px 5px 0;
border-top-color: #000;
}
.tooltip.top-right .tooltip-arrow {
bottom: 0;
left: 5px;
margin-bottom: -5px;
border-width: 5px 5px 0;
border-top-color: #000;
}
.tooltip.right .tooltip-arrow {
top: 50%;
left: 0;
margin-top: -5px;
border-width: 5px 5px 5px 0;
border-right-color: #000;
}
.tooltip.left .tooltip-arrow {
top: 50%;
right: 0;
margin-top: -5px;
border-width: 5px 0 5px 5px;
border-left-color: #000;
}
.tooltip.bottom .tooltip-arrow {
top: 0;
left: 50%;
margin-left: -5px;
border-width: 0 5px 5px;
border-bottom-color: #000;
}
.tooltip.bottom-left .tooltip-arrow {
top: 0;
right: 5px;
margin-top: -5px;
border-width: 0 5px 5px;
border-bottom-color: #000;
}
.tooltip.bottom-right .tooltip-arrow {
top: 0;
left: 5px;
margin-top: -5px;
border-width: 0 5px 5px;
border-bottom-color: #000;
}
.popover {
position: absolute;
top: 0;
left: 0;
z-index: 1060;
display: none;
max-width: 276px;
padding: 1px;
font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
font-style: normal;
font-weight: normal;
letter-spacing: normal;
line-break: auto;
line-height: 1.42857143;
text-align: left;
text-align: start;
text-decoration: none;
text-shadow: none;
text-transform: none;
white-space: normal;
word-break: normal;
word-spacing: normal;
word-wrap: normal;
font-size: 13px;
background-color: #fff;
background-clip: padding-box;
border: 1px solid #ccc;
border: 1px solid rgba(0, 0, 0, 0.2);
border-radius: 3px;
-webkit-box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
}
.popover.top {
margin-top: -10px;
}
.popover.right {
margin-left: 10px;
}
.popover.bottom {
margin-top: 10px;
}
.popover.left {
margin-left: -10px;
}
.popover-title {
margin: 0;
padding: 8px 14px;
font-size: 13px;
background-color: #f7f7f7;
border-bottom: 1px solid #ebebeb;
border-radius: 2px 2px 0 0;
}
.popover-content {
padding: 9px 14px;
}
.popover > .arrow,
.popover > .arrow:after {
position: absolute;
display: block;
width: 0;
height: 0;
border-color: transparent;
border-style: solid;
}
.popover > .arrow {
border-width: 11px;
}
.popover > .arrow:after {
border-width: 10px;
content: "";
}
.popover.top > .arrow {
left: 50%;
margin-left: -11px;
border-bottom-width: 0;
border-top-color: #999999;
border-top-color: rgba(0, 0, 0, 0.25);
bottom: -11px;
}
.popover.top > .arrow:after {
content: " ";
bottom: 1px;
margin-left: -10px;
border-bottom-width: 0;
border-top-color: #fff;
}
.popover.right > .arrow {
top: 50%;
left: -11px;
margin-top: -11px;
border-left-width: 0;
border-right-color: #999999;
border-right-color: rgba(0, 0, 0, 0.25);
}
.popover.right > .arrow:after {
content: " ";
left: 1px;
bottom: -10px;
border-left-width: 0;
border-right-color: #fff;
}
.popover.bottom > .arrow {
left: 50%;
margin-left: -11px;
border-top-width: 0;
border-bottom-color: #999999;
border-bottom-color: rgba(0, 0, 0, 0.25);
top: -11px;
}
.popover.bottom > .arrow:after {
content: " ";
top: 1px;
margin-left: -10px;
border-top-width: 0;
border-bottom-color: #fff;
}
.popover.left > .arrow {
top: 50%;
right: -11px;
margin-top: -11px;
border-right-width: 0;
border-left-color: #999999;
border-left-color: rgba(0, 0, 0, 0.25);
}
.popover.left > .arrow:after {
content: " ";
right: 1px;
border-right-width: 0;
border-left-color: #fff;
bottom: -10px;
}
.carousel {
position: relative;
}
.carousel-inner {
position: relative;
overflow: hidden;
width: 100%;
}
.carousel-inner > .item {
display: none;
position: relative;
-webkit-transition: 0.6s ease-in-out left;
-o-transition: 0.6s ease-in-out left;
transition: 0.6s ease-in-out left;
}
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
line-height: 1;
}
@media all and (transform-3d), (-webkit-transform-3d) {
.carousel-inner > .item {
-webkit-transition: -webkit-transform 0.6s ease-in-out;
-moz-transition: -moz-transform 0.6s ease-in-out;
-o-transition: -o-transform 0.6s ease-in-out;
transition: transform 0.6s ease-in-out;
-webkit-backface-visibility: hidden;
-moz-backface-visibility: hidden;
backface-visibility: hidden;
-webkit-perspective: 1000px;
-moz-perspective: 1000px;
perspective: 1000px;
}
.carousel-inner > .item.next,
.carousel-inner > .item.active.right {
-webkit-transform: translate3d(100%, 0, 0);
transform: translate3d(100%, 0, 0);
left: 0;
}
.carousel-inner > .item.prev,
.carousel-inner > .item.active.left {
-webkit-transform: translate3d(-100%, 0, 0);
transform: translate3d(-100%, 0, 0);
left: 0;
}
.carousel-inner > .item.next.left,
.carousel-inner > .item.prev.right,
.carousel-inner > .item.active {
-webkit-transform: translate3d(0, 0, 0);
transform: translate3d(0, 0, 0);
left: 0;
}
}
.carousel-inner > .active,
.carousel-inner > .next,
.carousel-inner > .prev {
display: block;
}
.carousel-inner > .active {
left: 0;
}
.carousel-inner > .next,
.carousel-inner > .prev {
position: absolute;
top: 0;
width: 100%;
}
.carousel-inner > .next {
left: 100%;
}
.carousel-inner > .prev {
left: -100%;
}
.carousel-inner > .next.left,
.carousel-inner > .prev.right {
left: 0;
}
.carousel-inner > .active.left {
left: -100%;
}
.carousel-inner > .active.right {
left: 100%;
}
.carousel-control {
position: absolute;
top: 0;
left: 0;
bottom: 0;
width: 15%;
opacity: 0.5;
filter: alpha(opacity=50);
font-size: 20px;
color: #fff;
text-align: center;
text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
background-color: rgba(0, 0, 0, 0);
}
.carousel-control.left {
background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
background-image: linear-gradient(to right, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
background-repeat: repeat-x;
filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
}
.carousel-control.right {
left: auto;
right: 0;
background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
background-image: linear-gradient(to right, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
background-repeat: repeat-x;
filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
}
.carousel-control:hover,
.carousel-control:focus {
outline: 0;
color: #fff;
text-decoration: none;
opacity: 0.9;
filter: alpha(opacity=90);
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
position: absolute;
top: 50%;
margin-top: -10px;
z-index: 5;
display: inline-block;
}
.carousel-control .icon-prev,
.carousel-control .glyphicon-chevron-left {
left: 50%;
margin-left: -10px;
}
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-right {
right: 50%;
margin-right: -10px;
}
.carousel-control .icon-prev,
.carousel-control .icon-next {
width: 20px;
height: 20px;
line-height: 1;
font-family: serif;
}
.carousel-control .icon-prev:before {
content: '\2039';
}
.carousel-control .icon-next:before {
content: '\203a';
}
.carousel-indicators {
position: absolute;
bottom: 10px;
left: 50%;
z-index: 15;
width: 60%;
margin-left: -30%;
padding-left: 0;
list-style: none;
text-align: center;
}
.carousel-indicators li {
display: inline-block;
width: 10px;
height: 10px;
margin: 1px;
text-indent: -999px;
border: 1px solid #fff;
border-radius: 10px;
cursor: pointer;
background-color: #000 \9;
background-color: rgba(0, 0, 0, 0);
}
.carousel-indicators .active {
margin: 0;
width: 12px;
height: 12px;
background-color: #fff;
}
.carousel-caption {
position: absolute;
left: 15%;
right: 15%;
bottom: 20px;
z-index: 10;
padding-top: 20px;
padding-bottom: 20px;
color: #fff;
text-align: center;
text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
}
.carousel-caption .btn {
text-shadow: none;
}
@media screen and (min-width: 768px) {
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right,
.carousel-control .icon-prev,
.carousel-control .icon-next {
width: 30px;
height: 30px;
margin-top: -10px;
font-size: 30px;
}
.carousel-control .glyphicon-chevron-left,
.carousel-control .icon-prev {
margin-left: -10px;
}
.carousel-control .glyphicon-chevron-right,
.carousel-control .icon-next {
margin-right: -10px;
}
.carousel-caption {
left: 20%;
right: 20%;
padding-bottom: 30px;
}
.carousel-indicators {
bottom: 20px;
}
}
.clearfix:before,
.clearfix:after,
.dl-horizontal dd:before,
.dl-horizontal dd:after,
.container:before,
.container:after,
.container-fluid:before,
.container-fluid:after,
.row:before,
.row:after,
.form-horizontal .form-group:before,
.form-horizontal .form-group:after,
.btn-toolbar:before,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:before,
.btn-group-vertical > .btn-group:after,
.nav:before,
.nav:after,
.navbar:before,
.navbar:after,
.navbar-header:before,
.navbar-header:after,
.navbar-collapse:before,
.navbar-collapse:after,
.pager:before,
.pager:after,
.panel-body:before,
.panel-body:after,
.modal-header:before,
.modal-header:after,
.modal-footer:before,
.modal-footer:after,
.item_buttons:before,
.item_buttons:after {
content: " ";
display: table;
}
.clearfix:after,
.dl-horizontal dd:after,
.container:after,
.container-fluid:after,
.row:after,
.form-horizontal .form-group:after,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:after,
.nav:after,
.navbar:after,
.navbar-header:after,
.navbar-collapse:after,
.pager:after,
.panel-body:after,
.modal-header:after,
.modal-footer:after,
.item_buttons:after {
clear: both;
}
.center-block {
display: block;
margin-left: auto;
margin-right: auto;
}
.pull-right {
float: right !important;
}
.pull-left {
float: left !important;
}
.hide {
display: none !important;
}
.show {
display: block !important;
}
.invisible {
visibility: hidden;
}
.text-hide {
font: 0/0 a;
color: transparent;
text-shadow: none;
background-color: transparent;
border: 0;
}
.hidden {
display: none !important;
}
.affix {
position: fixed;
}
@-ms-viewport {
width: device-width;
}
.visible-xs,
.visible-sm,
.visible-md,
.visible-lg {
display: none !important;
}
.visible-xs-block,
.visible-xs-inline,
.visible-xs-inline-block,
.visible-sm-block,
.visible-sm-inline,
.visible-sm-inline-block,
.visible-md-block,
.visible-md-inline,
.visible-md-inline-block,
.visible-lg-block,
.visible-lg-inline,
.visible-lg-inline-block {
display: none !important;
}
@media (max-width: 767px) {
.visible-xs {
display: block !important;
}
table.visible-xs {
display: table !important;
}
tr.visible-xs {
display: table-row !important;
}
th.visible-xs,
td.visible-xs {
display: table-cell !important;
}
}
@media (max-width: 767px) {
.visible-xs-block {
display: block !important;
}
}
@media (max-width: 767px) {
.visible-xs-inline {
display: inline !important;
}
}
@media (max-width: 767px) {
.visible-xs-inline-block {
display: inline-block !important;
}
}
@media (min-width: 768px) and (max-width: 991px) {
.visible-sm {
display: block !important;
}
table.visible-sm {
display: table !important;
}
tr.visible-sm {
display: table-row !important;
}
th.visible-sm,
td.visible-sm {
display: table-cell !important;
}
}
@media (min-width: 768px) and (max-width: 991px) {
.visible-sm-block {
display: block !important;
}
}
@media (min-width: 768px) and (max-width: 991px) {
.visible-sm-inline {
display: inline !important;
}
}
@media (min-width: 768px) and (max-width: 991px) {
.visible-sm-inline-block {
display: inline-block !important;
}
}
@media (min-width: 992px) and (max-width: 1199px) {
.visible-md {
display: block !important;
}
table.visible-md {
display: table !important;
}
tr.visible-md {
display: table-row !important;
}
th.visible-md,
td.visible-md {
display: table-cell !important;
}
}
@media (min-width: 992px) and (max-width: 1199px) {
.visible-md-block {
display: block !important;
}
}
@media (min-width: 992px) and (max-width: 1199px) {
.visible-md-inline {
display: inline !important;
}
}
@media (min-width: 992px) and (max-width: 1199px) {
.visible-md-inline-block {
display: inline-block !important;
}
}
@media (min-width: 1200px) {
.visible-lg {
display: block !important;
}
table.visible-lg {
display: table !important;
}
tr.visible-lg {
display: table-row !important;
}
th.visible-lg,
td.visible-lg {
display: table-cell !important;
}
}
@media (min-width: 1200px) {
.visible-lg-block {
display: block !important;
}
}
@media (min-width: 1200px) {
.visible-lg-inline {
display: inline !important;
}
}
@media (min-width: 1200px) {
.visible-lg-inline-block {
display: inline-block !important;
}
}
@media (max-width: 767px) {
.hidden-xs {
display: none !important;
}
}
@media (min-width: 768px) and (max-width: 991px) {
.hidden-sm {
display: none !important;
}
}
@media (min-width: 992px) and (max-width: 1199px) {
.hidden-md {
display: none !important;
}
}
@media (min-width: 1200px) {
.hidden-lg {
display: none !important;
}
}
.visible-print {
display: none !important;
}
@media print {
.visible-print {
display: block !important;
}
table.visible-print {
display: table !important;
}
tr.visible-print {
display: table-row !important;
}
th.visible-print,
td.visible-print {
display: table-cell !important;
}
}
.visible-print-block {
display: none !important;
}
@media print {
.visible-print-block {
display: block !important;
}
}
.visible-print-inline {
display: none !important;
}
@media print {
.visible-print-inline {
display: inline !important;
}
}
.visible-print-inline-block {
display: none !important;
}
@media print {
.visible-print-inline-block {
display: inline-block !important;
}
}
@media print {
.hidden-print {
display: none !important;
}
}
/*!
*
* Font Awesome
*
*/
/*!
* Font Awesome 4.7.0 by @davegandy - http://fontawesome.io - @fontawesome
* License - http://fontawesome.io/license (Font: SIL OFL 1.1, CSS: MIT License)
*/
/* FONT PATH
* -------------------------- */
@font-face {
font-family: 'FontAwesome';
src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?v=4.7.0');
src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.7.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff2?v=4.7.0') format('woff2'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.7.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.7.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.7.0#fontawesomeregular') format('svg');
font-weight: normal;
font-style: normal;
}
.fa {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
}
/* makes the font 33% larger relative to the icon container */
.fa-lg {
font-size: 1.33333333em;
line-height: 0.75em;
vertical-align: -15%;
}
.fa-2x {
font-size: 2em;
}
.fa-3x {
font-size: 3em;
}
.fa-4x {
font-size: 4em;
}
.fa-5x {
font-size: 5em;
}
.fa-fw {
width: 1.28571429em;
text-align: center;
}
.fa-ul {
padding-left: 0;
margin-left: 2.14285714em;
list-style-type: none;
}
.fa-ul > li {
position: relative;
}
.fa-li {
position: absolute;
left: -2.14285714em;
width: 2.14285714em;
top: 0.14285714em;
text-align: center;
}
.fa-li.fa-lg {
left: -1.85714286em;
}
.fa-border {
padding: .2em .25em .15em;
border: solid 0.08em #eee;
border-radius: .1em;
}
.fa-pull-left {
float: left;
}
.fa-pull-right {
float: right;
}
.fa.fa-pull-left {
margin-right: .3em;
}
.fa.fa-pull-right {
margin-left: .3em;
}
/* Deprecated as of 4.4.0 */
.pull-right {
float: right;
}
.pull-left {
float: left;
}
.fa.pull-left {
margin-right: .3em;
}
.fa.pull-right {
margin-left: .3em;
}
.fa-spin {
-webkit-animation: fa-spin 2s infinite linear;
animation: fa-spin 2s infinite linear;
}
.fa-pulse {
-webkit-animation: fa-spin 1s infinite steps(8);
animation: fa-spin 1s infinite steps(8);
}
@-webkit-keyframes fa-spin {
0% {
-webkit-transform: rotate(0deg);
transform: rotate(0deg);
}
100% {
-webkit-transform: rotate(359deg);
transform: rotate(359deg);
}
}
@keyframes fa-spin {
0% {
-webkit-transform: rotate(0deg);
transform: rotate(0deg);
}
100% {
-webkit-transform: rotate(359deg);
transform: rotate(359deg);
}
}
.fa-rotate-90 {
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=1)";
-webkit-transform: rotate(90deg);
-ms-transform: rotate(90deg);
transform: rotate(90deg);
}
.fa-rotate-180 {
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2)";
-webkit-transform: rotate(180deg);
-ms-transform: rotate(180deg);
transform: rotate(180deg);
}
.fa-rotate-270 {
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=3)";
-webkit-transform: rotate(270deg);
-ms-transform: rotate(270deg);
transform: rotate(270deg);
}
.fa-flip-horizontal {
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1)";
-webkit-transform: scale(-1, 1);
-ms-transform: scale(-1, 1);
transform: scale(-1, 1);
}
.fa-flip-vertical {
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1)";
-webkit-transform: scale(1, -1);
-ms-transform: scale(1, -1);
transform: scale(1, -1);
}
:root .fa-rotate-90,
:root .fa-rotate-180,
:root .fa-rotate-270,
:root .fa-flip-horizontal,
:root .fa-flip-vertical {
filter: none;
}
.fa-stack {
position: relative;
display: inline-block;
width: 2em;
height: 2em;
line-height: 2em;
vertical-align: middle;
}
.fa-stack-1x,
.fa-stack-2x {
position: absolute;
left: 0;
width: 100%;
text-align: center;
}
.fa-stack-1x {
line-height: inherit;
}
.fa-stack-2x {
font-size: 2em;
}
.fa-inverse {
color: #fff;
}
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
readers do not read off random characters that represent icons */
.fa-glass:before {
content: "\f000";
}
.fa-music:before {
content: "\f001";
}
.fa-search:before {
content: "\f002";
}
.fa-envelope-o:before {
content: "\f003";
}
.fa-heart:before {
content: "\f004";
}
.fa-star:before {
content: "\f005";
}
.fa-star-o:before {
content: "\f006";
}
.fa-user:before {
content: "\f007";
}
.fa-film:before {
content: "\f008";
}
.fa-th-large:before {
content: "\f009";
}
.fa-th:before {
content: "\f00a";
}
.fa-th-list:before {
content: "\f00b";
}
.fa-check:before {
content: "\f00c";
}
.fa-remove:before,
.fa-close:before,
.fa-times:before {
content: "\f00d";
}
.fa-search-plus:before {
content: "\f00e";
}
.fa-search-minus:before {
content: "\f010";
}
.fa-power-off:before {
content: "\f011";
}
.fa-signal:before {
content: "\f012";
}
.fa-gear:before,
.fa-cog:before {
content: "\f013";
}
.fa-trash-o:before {
content: "\f014";
}
.fa-home:before {
content: "\f015";
}
.fa-file-o:before {
content: "\f016";
}
.fa-clock-o:before {
content: "\f017";
}
.fa-road:before {
content: "\f018";
}
.fa-download:before {
content: "\f019";
}
.fa-arrow-circle-o-down:before {
content: "\f01a";
}
.fa-arrow-circle-o-up:before {
content: "\f01b";
}
.fa-inbox:before {
content: "\f01c";
}
.fa-play-circle-o:before {
content: "\f01d";
}
.fa-rotate-right:before,
.fa-repeat:before {
content: "\f01e";
}
.fa-refresh:before {
content: "\f021";
}
.fa-list-alt:before {
content: "\f022";
}
.fa-lock:before {
content: "\f023";
}
.fa-flag:before {
content: "\f024";
}
.fa-headphones:before {
content: "\f025";
}
.fa-volume-off:before {
content: "\f026";
}
.fa-volume-down:before {
content: "\f027";
}
.fa-volume-up:before {
content: "\f028";
}
.fa-qrcode:before {
content: "\f029";
}
.fa-barcode:before {
content: "\f02a";
}
.fa-tag:before {
content: "\f02b";
}
.fa-tags:before {
content: "\f02c";
}
.fa-book:before {
content: "\f02d";
}
.fa-bookmark:before {
content: "\f02e";
}
.fa-print:before {
content: "\f02f";
}
.fa-camera:before {
content: "\f030";
}
.fa-font:before {
content: "\f031";
}
.fa-bold:before {
content: "\f032";
}
.fa-italic:before {
content: "\f033";
}
.fa-text-height:before {
content: "\f034";
}
.fa-text-width:before {
content: "\f035";
}
.fa-align-left:before {
content: "\f036";
}
.fa-align-center:before {
content: "\f037";
}
.fa-align-right:before {
content: "\f038";
}
.fa-align-justify:before {
content: "\f039";
}
.fa-list:before {
content: "\f03a";
}
.fa-dedent:before,
.fa-outdent:before {
content: "\f03b";
}
.fa-indent:before {
content: "\f03c";
}
.fa-video-camera:before {
content: "\f03d";
}
.fa-photo:before,
.fa-image:before,
.fa-picture-o:before {
content: "\f03e";
}
.fa-pencil:before {
content: "\f040";
}
.fa-map-marker:before {
content: "\f041";
}
.fa-adjust:before {
content: "\f042";
}
.fa-tint:before {
content: "\f043";
}
.fa-edit:before,
.fa-pencil-square-o:before {
content: "\f044";
}
.fa-share-square-o:before {
content: "\f045";
}
.fa-check-square-o:before {
content: "\f046";
}
.fa-arrows:before {
content: "\f047";
}
.fa-step-backward:before {
content: "\f048";
}
.fa-fast-backward:before {
content: "\f049";
}
.fa-backward:before {
content: "\f04a";
}
.fa-play:before {
content: "\f04b";
}
.fa-pause:before {
content: "\f04c";
}
.fa-stop:before {
content: "\f04d";
}
.fa-forward:before {
content: "\f04e";
}
.fa-fast-forward:before {
content: "\f050";
}
.fa-step-forward:before {
content: "\f051";
}
.fa-eject:before {
content: "\f052";
}
.fa-chevron-left:before {
content: "\f053";
}
.fa-chevron-right:before {
content: "\f054";
}
.fa-plus-circle:before {
content: "\f055";
}
.fa-minus-circle:before {
content: "\f056";
}
.fa-times-circle:before {
content: "\f057";
}
.fa-check-circle:before {
content: "\f058";
}
.fa-question-circle:before {
content: "\f059";
}
.fa-info-circle:before {
content: "\f05a";
}
.fa-crosshairs:before {
content: "\f05b";
}
.fa-times-circle-o:before {
content: "\f05c";
}
.fa-check-circle-o:before {
content: "\f05d";
}
.fa-ban:before {
content: "\f05e";
}
.fa-arrow-left:before {
content: "\f060";
}
.fa-arrow-right:before {
content: "\f061";
}
.fa-arrow-up:before {
content: "\f062";
}
.fa-arrow-down:before {
content: "\f063";
}
.fa-mail-forward:before,
.fa-share:before {
content: "\f064";
}
.fa-expand:before {
content: "\f065";
}
.fa-compress:before {
content: "\f066";
}
.fa-plus:before {
content: "\f067";
}
.fa-minus:before {
content: "\f068";
}
.fa-asterisk:before {
content: "\f069";
}
.fa-exclamation-circle:before {
content: "\f06a";
}
.fa-gift:before {
content: "\f06b";
}
.fa-leaf:before {
content: "\f06c";
}
.fa-fire:before {
content: "\f06d";
}
.fa-eye:before {
content: "\f06e";
}
.fa-eye-slash:before {
content: "\f070";
}
.fa-warning:before,
.fa-exclamation-triangle:before {
content: "\f071";
}
.fa-plane:before {
content: "\f072";
}
.fa-calendar:before {
content: "\f073";
}
.fa-random:before {
content: "\f074";
}
.fa-comment:before {
content: "\f075";
}
.fa-magnet:before {
content: "\f076";
}
.fa-chevron-up:before {
content: "\f077";
}
.fa-chevron-down:before {
content: "\f078";
}
.fa-retweet:before {
content: "\f079";
}
.fa-shopping-cart:before {
content: "\f07a";
}
.fa-folder:before {
content: "\f07b";
}
.fa-folder-open:before {
content: "\f07c";
}
.fa-arrows-v:before {
content: "\f07d";
}
.fa-arrows-h:before {
content: "\f07e";
}
.fa-bar-chart-o:before,
.fa-bar-chart:before {
content: "\f080";
}
.fa-twitter-square:before {
content: "\f081";
}
.fa-facebook-square:before {
content: "\f082";
}
.fa-camera-retro:before {
content: "\f083";
}
.fa-key:before {
content: "\f084";
}
.fa-gears:before,
.fa-cogs:before {
content: "\f085";
}
.fa-comments:before {
content: "\f086";
}
.fa-thumbs-o-up:before {
content: "\f087";
}
.fa-thumbs-o-down:before {
content: "\f088";
}
.fa-star-half:before {
content: "\f089";
}
.fa-heart-o:before {
content: "\f08a";
}
.fa-sign-out:before {
content: "\f08b";
}
.fa-linkedin-square:before {
content: "\f08c";
}
.fa-thumb-tack:before {
content: "\f08d";
}
.fa-external-link:before {
content: "\f08e";
}
.fa-sign-in:before {
content: "\f090";
}
.fa-trophy:before {
content: "\f091";
}
.fa-github-square:before {
content: "\f092";
}
.fa-upload:before {
content: "\f093";
}
.fa-lemon-o:before {
content: "\f094";
}
.fa-phone:before {
content: "\f095";
}
.fa-square-o:before {
content: "\f096";
}
.fa-bookmark-o:before {
content: "\f097";
}
.fa-phone-square:before {
content: "\f098";
}
.fa-twitter:before {
content: "\f099";
}
.fa-facebook-f:before,
.fa-facebook:before {
content: "\f09a";
}
.fa-github:before {
content: "\f09b";
}
.fa-unlock:before {
content: "\f09c";
}
.fa-credit-card:before {
content: "\f09d";
}
.fa-feed:before,
.fa-rss:before {
content: "\f09e";
}
.fa-hdd-o:before {
content: "\f0a0";
}
.fa-bullhorn:before {
content: "\f0a1";
}
.fa-bell:before {
content: "\f0f3";
}
.fa-certificate:before {
content: "\f0a3";
}
.fa-hand-o-right:before {
content: "\f0a4";
}
.fa-hand-o-left:before {
content: "\f0a5";
}
.fa-hand-o-up:before {
content: "\f0a6";
}
.fa-hand-o-down:before {
content: "\f0a7";
}
.fa-arrow-circle-left:before {
content: "\f0a8";
}
.fa-arrow-circle-right:before {
content: "\f0a9";
}
.fa-arrow-circle-up:before {
content: "\f0aa";
}
.fa-arrow-circle-down:before {
content: "\f0ab";
}
.fa-globe:before {
content: "\f0ac";
}
.fa-wrench:before {
content: "\f0ad";
}
.fa-tasks:before {
content: "\f0ae";
}
.fa-filter:before {
content: "\f0b0";
}
.fa-briefcase:before {
content: "\f0b1";
}
.fa-arrows-alt:before {
content: "\f0b2";
}
.fa-group:before,
.fa-users:before {
content: "\f0c0";
}
.fa-chain:before,
.fa-link:before {
content: "\f0c1";
}
.fa-cloud:before {
content: "\f0c2";
}
.fa-flask:before {
content: "\f0c3";
}
.fa-cut:before,
.fa-scissors:before {
content: "\f0c4";
}
.fa-copy:before,
.fa-files-o:before {
content: "\f0c5";
}
.fa-paperclip:before {
content: "\f0c6";
}
.fa-save:before,
.fa-floppy-o:before {
content: "\f0c7";
}
.fa-square:before {
content: "\f0c8";
}
.fa-navicon:before,
.fa-reorder:before,
.fa-bars:before {
content: "\f0c9";
}
.fa-list-ul:before {
content: "\f0ca";
}
.fa-list-ol:before {
content: "\f0cb";
}
.fa-strikethrough:before {
content: "\f0cc";
}
.fa-underline:before {
content: "\f0cd";
}
.fa-table:before {
content: "\f0ce";
}
.fa-magic:before {
content: "\f0d0";
}
.fa-truck:before {
content: "\f0d1";
}
.fa-pinterest:before {
content: "\f0d2";
}
.fa-pinterest-square:before {
content: "\f0d3";
}
.fa-google-plus-square:before {
content: "\f0d4";
}
.fa-google-plus:before {
content: "\f0d5";
}
.fa-money:before {
content: "\f0d6";
}
.fa-caret-down:before {
content: "\f0d7";
}
.fa-caret-up:before {
content: "\f0d8";
}
.fa-caret-left:before {
content: "\f0d9";
}
.fa-caret-right:before {
content: "\f0da";
}
.fa-columns:before {
content: "\f0db";
}
.fa-unsorted:before,
.fa-sort:before {
content: "\f0dc";
}
.fa-sort-down:before,
.fa-sort-desc:before {
content: "\f0dd";
}
.fa-sort-up:before,
.fa-sort-asc:before {
content: "\f0de";
}
.fa-envelope:before {
content: "\f0e0";
}
.fa-linkedin:before {
content: "\f0e1";
}
.fa-rotate-left:before,
.fa-undo:before {
content: "\f0e2";
}
.fa-legal:before,
.fa-gavel:before {
content: "\f0e3";
}
.fa-dashboard:before,
.fa-tachometer:before {
content: "\f0e4";
}
.fa-comment-o:before {
content: "\f0e5";
}
.fa-comments-o:before {
content: "\f0e6";
}
.fa-flash:before,
.fa-bolt:before {
content: "\f0e7";
}
.fa-sitemap:before {
content: "\f0e8";
}
.fa-umbrella:before {
content: "\f0e9";
}
.fa-paste:before,
.fa-clipboard:before {
content: "\f0ea";
}
.fa-lightbulb-o:before {
content: "\f0eb";
}
.fa-exchange:before {
content: "\f0ec";
}
.fa-cloud-download:before {
content: "\f0ed";
}
.fa-cloud-upload:before {
content: "\f0ee";
}
.fa-user-md:before {
content: "\f0f0";
}
.fa-stethoscope:before {
content: "\f0f1";
}
.fa-suitcase:before {
content: "\f0f2";
}
.fa-bell-o:before {
content: "\f0a2";
}
.fa-coffee:before {
content: "\f0f4";
}
.fa-cutlery:before {
content: "\f0f5";
}
.fa-file-text-o:before {
content: "\f0f6";
}
.fa-building-o:before {
content: "\f0f7";
}
.fa-hospital-o:before {
content: "\f0f8";
}
.fa-ambulance:before {
content: "\f0f9";
}
.fa-medkit:before {
content: "\f0fa";
}
.fa-fighter-jet:before {
content: "\f0fb";
}
.fa-beer:before {
content: "\f0fc";
}
.fa-h-square:before {
content: "\f0fd";
}
.fa-plus-square:before {
content: "\f0fe";
}
.fa-angle-double-left:before {
content: "\f100";
}
.fa-angle-double-right:before {
content: "\f101";
}
.fa-angle-double-up:before {
content: "\f102";
}
.fa-angle-double-down:before {
content: "\f103";
}
.fa-angle-left:before {
content: "\f104";
}
.fa-angle-right:before {
content: "\f105";
}
.fa-angle-up:before {
content: "\f106";
}
.fa-angle-down:before {
content: "\f107";
}
.fa-desktop:before {
content: "\f108";
}
.fa-laptop:before {
content: "\f109";
}
.fa-tablet:before {
content: "\f10a";
}
.fa-mobile-phone:before,
.fa-mobile:before {
content: "\f10b";
}
.fa-circle-o:before {
content: "\f10c";
}
.fa-quote-left:before {
content: "\f10d";
}
.fa-quote-right:before {
content: "\f10e";
}
.fa-spinner:before {
content: "\f110";
}
.fa-circle:before {
content: "\f111";
}
.fa-mail-reply:before,
.fa-reply:before {
content: "\f112";
}
.fa-github-alt:before {
content: "\f113";
}
.fa-folder-o:before {
content: "\f114";
}
.fa-folder-open-o:before {
content: "\f115";
}
.fa-smile-o:before {
content: "\f118";
}
.fa-frown-o:before {
content: "\f119";
}
.fa-meh-o:before {
content: "\f11a";
}
.fa-gamepad:before {
content: "\f11b";
}
.fa-keyboard-o:before {
content: "\f11c";
}
.fa-flag-o:before {
content: "\f11d";
}
.fa-flag-checkered:before {
content: "\f11e";
}
.fa-terminal:before {
content: "\f120";
}
.fa-code:before {
content: "\f121";
}
.fa-mail-reply-all:before,
.fa-reply-all:before {
content: "\f122";
}
.fa-star-half-empty:before,
.fa-star-half-full:before,
.fa-star-half-o:before {
content: "\f123";
}
.fa-location-arrow:before {
content: "\f124";
}
.fa-crop:before {
content: "\f125";
}
.fa-code-fork:before {
content: "\f126";
}
.fa-unlink:before,
.fa-chain-broken:before {
content: "\f127";
}
.fa-question:before {
content: "\f128";
}
.fa-info:before {
content: "\f129";
}
.fa-exclamation:before {
content: "\f12a";
}
.fa-superscript:before {
content: "\f12b";
}
.fa-subscript:before {
content: "\f12c";
}
.fa-eraser:before {
content: "\f12d";
}
.fa-puzzle-piece:before {
content: "\f12e";
}
.fa-microphone:before {
content: "\f130";
}
.fa-microphone-slash:before {
content: "\f131";
}
.fa-shield:before {
content: "\f132";
}
.fa-calendar-o:before {
content: "\f133";
}
.fa-fire-extinguisher:before {
content: "\f134";
}
.fa-rocket:before {
content: "\f135";
}
.fa-maxcdn:before {
content: "\f136";
}
.fa-chevron-circle-left:before {
content: "\f137";
}
.fa-chevron-circle-right:before {
content: "\f138";
}
.fa-chevron-circle-up:before {
content: "\f139";
}
.fa-chevron-circle-down:before {
content: "\f13a";
}
.fa-html5:before {
content: "\f13b";
}
.fa-css3:before {
content: "\f13c";
}
.fa-anchor:before {
content: "\f13d";
}
.fa-unlock-alt:before {
content: "\f13e";
}
.fa-bullseye:before {
content: "\f140";
}
.fa-ellipsis-h:before {
content: "\f141";
}
.fa-ellipsis-v:before {
content: "\f142";
}
.fa-rss-square:before {
content: "\f143";
}
.fa-play-circle:before {
content: "\f144";
}
.fa-ticket:before {
content: "\f145";
}
.fa-minus-square:before {
content: "\f146";
}
.fa-minus-square-o:before {
content: "\f147";
}
.fa-level-up:before {
content: "\f148";
}
.fa-level-down:before {
content: "\f149";
}
.fa-check-square:before {
content: "\f14a";
}
.fa-pencil-square:before {
content: "\f14b";
}
.fa-external-link-square:before {
content: "\f14c";
}
.fa-share-square:before {
content: "\f14d";
}
.fa-compass:before {
content: "\f14e";
}
.fa-toggle-down:before,
.fa-caret-square-o-down:before {
content: "\f150";
}
.fa-toggle-up:before,
.fa-caret-square-o-up:before {
content: "\f151";
}
.fa-toggle-right:before,
.fa-caret-square-o-right:before {
content: "\f152";
}
.fa-euro:before,
.fa-eur:before {
content: "\f153";
}
.fa-gbp:before {
content: "\f154";
}
.fa-dollar:before,
.fa-usd:before {
content: "\f155";
}
.fa-rupee:before,
.fa-inr:before {
content: "\f156";
}
.fa-cny:before,
.fa-rmb:before,
.fa-yen:before,
.fa-jpy:before {
content: "\f157";
}
.fa-ruble:before,
.fa-rouble:before,
.fa-rub:before {
content: "\f158";
}
.fa-won:before,
.fa-krw:before {
content: "\f159";
}
.fa-bitcoin:before,
.fa-btc:before {
content: "\f15a";
}
.fa-file:before {
content: "\f15b";
}
.fa-file-text:before {
content: "\f15c";
}
.fa-sort-alpha-asc:before {
content: "\f15d";
}
.fa-sort-alpha-desc:before {
content: "\f15e";
}
.fa-sort-amount-asc:before {
content: "\f160";
}
.fa-sort-amount-desc:before {
content: "\f161";
}
.fa-sort-numeric-asc:before {
content: "\f162";
}
.fa-sort-numeric-desc:before {
content: "\f163";
}
.fa-thumbs-up:before {
content: "\f164";
}
.fa-thumbs-down:before {
content: "\f165";
}
.fa-youtube-square:before {
content: "\f166";
}
.fa-youtube:before {
content: "\f167";
}
.fa-xing:before {
content: "\f168";
}
.fa-xing-square:before {
content: "\f169";
}
.fa-youtube-play:before {
content: "\f16a";
}
.fa-dropbox:before {
content: "\f16b";
}
.fa-stack-overflow:before {
content: "\f16c";
}
.fa-instagram:before {
content: "\f16d";
}
.fa-flickr:before {
content: "\f16e";
}
.fa-adn:before {
content: "\f170";
}
.fa-bitbucket:before {
content: "\f171";
}
.fa-bitbucket-square:before {
content: "\f172";
}
.fa-tumblr:before {
content: "\f173";
}
.fa-tumblr-square:before {
content: "\f174";
}
.fa-long-arrow-down:before {
content: "\f175";
}
.fa-long-arrow-up:before {
content: "\f176";
}
.fa-long-arrow-left:before {
content: "\f177";
}
.fa-long-arrow-right:before {
content: "\f178";
}
.fa-apple:before {
content: "\f179";
}
.fa-windows:before {
content: "\f17a";
}
.fa-android:before {
content: "\f17b";
}
.fa-linux:before {
content: "\f17c";
}
.fa-dribbble:before {
content: "\f17d";
}
.fa-skype:before {
content: "\f17e";
}
.fa-foursquare:before {
content: "\f180";
}
.fa-trello:before {
content: "\f181";
}
.fa-female:before {
content: "\f182";
}
.fa-male:before {
content: "\f183";
}
.fa-gittip:before,
.fa-gratipay:before {
content: "\f184";
}
.fa-sun-o:before {
content: "\f185";
}
.fa-moon-o:before {
content: "\f186";
}
.fa-archive:before {
content: "\f187";
}
.fa-bug:before {
content: "\f188";
}
.fa-vk:before {
content: "\f189";
}
.fa-weibo:before {
content: "\f18a";
}
.fa-renren:before {
content: "\f18b";
}
.fa-pagelines:before {
content: "\f18c";
}
.fa-stack-exchange:before {
content: "\f18d";
}
.fa-arrow-circle-o-right:before {
content: "\f18e";
}
.fa-arrow-circle-o-left:before {
content: "\f190";
}
.fa-toggle-left:before,
.fa-caret-square-o-left:before {
content: "\f191";
}
.fa-dot-circle-o:before {
content: "\f192";
}
.fa-wheelchair:before {
content: "\f193";
}
.fa-vimeo-square:before {
content: "\f194";
}
.fa-turkish-lira:before,
.fa-try:before {
content: "\f195";
}
.fa-plus-square-o:before {
content: "\f196";
}
.fa-space-shuttle:before {
content: "\f197";
}
.fa-slack:before {
content: "\f198";
}
.fa-envelope-square:before {
content: "\f199";
}
.fa-wordpress:before {
content: "\f19a";
}
.fa-openid:before {
content: "\f19b";
}
.fa-institution:before,
.fa-bank:before,
.fa-university:before {
content: "\f19c";
}
.fa-mortar-board:before,
.fa-graduation-cap:before {
content: "\f19d";
}
.fa-yahoo:before {
content: "\f19e";
}
.fa-google:before {
content: "\f1a0";
}
.fa-reddit:before {
content: "\f1a1";
}
.fa-reddit-square:before {
content: "\f1a2";
}
.fa-stumbleupon-circle:before {
content: "\f1a3";
}
.fa-stumbleupon:before {
content: "\f1a4";
}
.fa-delicious:before {
content: "\f1a5";
}
.fa-digg:before {
content: "\f1a6";
}
.fa-pied-piper-pp:before {
content: "\f1a7";
}
.fa-pied-piper-alt:before {
content: "\f1a8";
}
.fa-drupal:before {
content: "\f1a9";
}
.fa-joomla:before {
content: "\f1aa";
}
.fa-language:before {
content: "\f1ab";
}
.fa-fax:before {
content: "\f1ac";
}
.fa-building:before {
content: "\f1ad";
}
.fa-child:before {
content: "\f1ae";
}
.fa-paw:before {
content: "\f1b0";
}
.fa-spoon:before {
content: "\f1b1";
}
.fa-cube:before {
content: "\f1b2";
}
.fa-cubes:before {
content: "\f1b3";
}
.fa-behance:before {
content: "\f1b4";
}
.fa-behance-square:before {
content: "\f1b5";
}
.fa-steam:before {
content: "\f1b6";
}
.fa-steam-square:before {
content: "\f1b7";
}
.fa-recycle:before {
content: "\f1b8";
}
.fa-automobile:before,
.fa-car:before {
content: "\f1b9";
}
.fa-cab:before,
.fa-taxi:before {
content: "\f1ba";
}
.fa-tree:before {
content: "\f1bb";
}
.fa-spotify:before {
content: "\f1bc";
}
.fa-deviantart:before {
content: "\f1bd";
}
.fa-soundcloud:before {
content: "\f1be";
}
.fa-database:before {
content: "\f1c0";
}
.fa-file-pdf-o:before {
content: "\f1c1";
}
.fa-file-word-o:before {
content: "\f1c2";
}
.fa-file-excel-o:before {
content: "\f1c3";
}
.fa-file-powerpoint-o:before {
content: "\f1c4";
}
.fa-file-photo-o:before,
.fa-file-picture-o:before,
.fa-file-image-o:before {
content: "\f1c5";
}
.fa-file-zip-o:before,
.fa-file-archive-o:before {
content: "\f1c6";
}
.fa-file-sound-o:before,
.fa-file-audio-o:before {
content: "\f1c7";
}
.fa-file-movie-o:before,
.fa-file-video-o:before {
content: "\f1c8";
}
.fa-file-code-o:before {
content: "\f1c9";
}
.fa-vine:before {
content: "\f1ca";
}
.fa-codepen:before {
content: "\f1cb";
}
.fa-jsfiddle:before {
content: "\f1cc";
}
.fa-life-bouy:before,
.fa-life-buoy:before,
.fa-life-saver:before,
.fa-support:before,
.fa-life-ring:before {
content: "\f1cd";
}
.fa-circle-o-notch:before {
content: "\f1ce";
}
.fa-ra:before,
.fa-resistance:before,
.fa-rebel:before {
content: "\f1d0";
}
.fa-ge:before,
.fa-empire:before {
content: "\f1d1";
}
.fa-git-square:before {
content: "\f1d2";
}
.fa-git:before {
content: "\f1d3";
}
.fa-y-combinator-square:before,
.fa-yc-square:before,
.fa-hacker-news:before {
content: "\f1d4";
}
.fa-tencent-weibo:before {
content: "\f1d5";
}
.fa-qq:before {
content: "\f1d6";
}
.fa-wechat:before,
.fa-weixin:before {
content: "\f1d7";
}
.fa-send:before,
.fa-paper-plane:before {
content: "\f1d8";
}
.fa-send-o:before,
.fa-paper-plane-o:before {
content: "\f1d9";
}
.fa-history:before {
content: "\f1da";
}
.fa-circle-thin:before {
content: "\f1db";
}
.fa-header:before {
content: "\f1dc";
}
.fa-paragraph:before {
content: "\f1dd";
}
.fa-sliders:before {
content: "\f1de";
}
.fa-share-alt:before {
content: "\f1e0";
}
.fa-share-alt-square:before {
content: "\f1e1";
}
.fa-bomb:before {
content: "\f1e2";
}
.fa-soccer-ball-o:before,
.fa-futbol-o:before {
content: "\f1e3";
}
.fa-tty:before {
content: "\f1e4";
}
.fa-binoculars:before {
content: "\f1e5";
}
.fa-plug:before {
content: "\f1e6";
}
.fa-slideshare:before {
content: "\f1e7";
}
.fa-twitch:before {
content: "\f1e8";
}
.fa-yelp:before {
content: "\f1e9";
}
.fa-newspaper-o:before {
content: "\f1ea";
}
.fa-wifi:before {
content: "\f1eb";
}
.fa-calculator:before {
content: "\f1ec";
}
.fa-paypal:before {
content: "\f1ed";
}
.fa-google-wallet:before {
content: "\f1ee";
}
.fa-cc-visa:before {
content: "\f1f0";
}
.fa-cc-mastercard:before {
content: "\f1f1";
}
.fa-cc-discover:before {
content: "\f1f2";
}
.fa-cc-amex:before {
content: "\f1f3";
}
.fa-cc-paypal:before {
content: "\f1f4";
}
.fa-cc-stripe:before {
content: "\f1f5";
}
.fa-bell-slash:before {
content: "\f1f6";
}
.fa-bell-slash-o:before {
content: "\f1f7";
}
.fa-trash:before {
content: "\f1f8";
}
.fa-copyright:before {
content: "\f1f9";
}
.fa-at:before {
content: "\f1fa";
}
.fa-eyedropper:before {
content: "\f1fb";
}
.fa-paint-brush:before {
content: "\f1fc";
}
.fa-birthday-cake:before {
content: "\f1fd";
}
.fa-area-chart:before {
content: "\f1fe";
}
.fa-pie-chart:before {
content: "\f200";
}
.fa-line-chart:before {
content: "\f201";
}
.fa-lastfm:before {
content: "\f202";
}
.fa-lastfm-square:before {
content: "\f203";
}
.fa-toggle-off:before {
content: "\f204";
}
.fa-toggle-on:before {
content: "\f205";
}
.fa-bicycle:before {
content: "\f206";
}
.fa-bus:before {
content: "\f207";
}
.fa-ioxhost:before {
content: "\f208";
}
.fa-angellist:before {
content: "\f209";
}
.fa-cc:before {
content: "\f20a";
}
.fa-shekel:before,
.fa-sheqel:before,
.fa-ils:before {
content: "\f20b";
}
.fa-meanpath:before {
content: "\f20c";
}
.fa-buysellads:before {
content: "\f20d";
}
.fa-connectdevelop:before {
content: "\f20e";
}
.fa-dashcube:before {
content: "\f210";
}
.fa-forumbee:before {
content: "\f211";
}
.fa-leanpub:before {
content: "\f212";
}
.fa-sellsy:before {
content: "\f213";
}
.fa-shirtsinbulk:before {
content: "\f214";
}
.fa-simplybuilt:before {
content: "\f215";
}
.fa-skyatlas:before {
content: "\f216";
}
.fa-cart-plus:before {
content: "\f217";
}
.fa-cart-arrow-down:before {
content: "\f218";
}
.fa-diamond:before {
content: "\f219";
}
.fa-ship:before {
content: "\f21a";
}
.fa-user-secret:before {
content: "\f21b";
}
.fa-motorcycle:before {
content: "\f21c";
}
.fa-street-view:before {
content: "\f21d";
}
.fa-heartbeat:before {
content: "\f21e";
}
.fa-venus:before {
content: "\f221";
}
.fa-mars:before {
content: "\f222";
}
.fa-mercury:before {
content: "\f223";
}
.fa-intersex:before,
.fa-transgender:before {
content: "\f224";
}
.fa-transgender-alt:before {
content: "\f225";
}
.fa-venus-double:before {
content: "\f226";
}
.fa-mars-double:before {
content: "\f227";
}
.fa-venus-mars:before {
content: "\f228";
}
.fa-mars-stroke:before {
content: "\f229";
}
.fa-mars-stroke-v:before {
content: "\f22a";
}
.fa-mars-stroke-h:before {
content: "\f22b";
}
.fa-neuter:before {
content: "\f22c";
}
.fa-genderless:before {
content: "\f22d";
}
.fa-facebook-official:before {
content: "\f230";
}
.fa-pinterest-p:before {
content: "\f231";
}
.fa-whatsapp:before {
content: "\f232";
}
.fa-server:before {
content: "\f233";
}
.fa-user-plus:before {
content: "\f234";
}
.fa-user-times:before {
content: "\f235";
}
.fa-hotel:before,
.fa-bed:before {
content: "\f236";
}
.fa-viacoin:before {
content: "\f237";
}
.fa-train:before {
content: "\f238";
}
.fa-subway:before {
content: "\f239";
}
.fa-medium:before {
content: "\f23a";
}
.fa-yc:before,
.fa-y-combinator:before {
content: "\f23b";
}
.fa-optin-monster:before {
content: "\f23c";
}
.fa-opencart:before {
content: "\f23d";
}
.fa-expeditedssl:before {
content: "\f23e";
}
.fa-battery-4:before,
.fa-battery:before,
.fa-battery-full:before {
content: "\f240";
}
.fa-battery-3:before,
.fa-battery-three-quarters:before {
content: "\f241";
}
.fa-battery-2:before,
.fa-battery-half:before {
content: "\f242";
}
.fa-battery-1:before,
.fa-battery-quarter:before {
content: "\f243";
}
.fa-battery-0:before,
.fa-battery-empty:before {
content: "\f244";
}
.fa-mouse-pointer:before {
content: "\f245";
}
.fa-i-cursor:before {
content: "\f246";
}
.fa-object-group:before {
content: "\f247";
}
.fa-object-ungroup:before {
content: "\f248";
}
.fa-sticky-note:before {
content: "\f249";
}
.fa-sticky-note-o:before {
content: "\f24a";
}
.fa-cc-jcb:before {
content: "\f24b";
}
.fa-cc-diners-club:before {
content: "\f24c";
}
.fa-clone:before {
content: "\f24d";
}
.fa-balance-scale:before {
content: "\f24e";
}
.fa-hourglass-o:before {
content: "\f250";
}
.fa-hourglass-1:before,
.fa-hourglass-start:before {
content: "\f251";
}
.fa-hourglass-2:before,
.fa-hourglass-half:before {
content: "\f252";
}
.fa-hourglass-3:before,
.fa-hourglass-end:before {
content: "\f253";
}
.fa-hourglass:before {
content: "\f254";
}
.fa-hand-grab-o:before,
.fa-hand-rock-o:before {
content: "\f255";
}
.fa-hand-stop-o:before,
.fa-hand-paper-o:before {
content: "\f256";
}
.fa-hand-scissors-o:before {
content: "\f257";
}
.fa-hand-lizard-o:before {
content: "\f258";
}
.fa-hand-spock-o:before {
content: "\f259";
}
.fa-hand-pointer-o:before {
content: "\f25a";
}
.fa-hand-peace-o:before {
content: "\f25b";
}
.fa-trademark:before {
content: "\f25c";
}
.fa-registered:before {
content: "\f25d";
}
.fa-creative-commons:before {
content: "\f25e";
}
.fa-gg:before {
content: "\f260";
}
.fa-gg-circle:before {
content: "\f261";
}
.fa-tripadvisor:before {
content: "\f262";
}
.fa-odnoklassniki:before {
content: "\f263";
}
.fa-odnoklassniki-square:before {
content: "\f264";
}
.fa-get-pocket:before {
content: "\f265";
}
.fa-wikipedia-w:before {
content: "\f266";
}
.fa-safari:before {
content: "\f267";
}
.fa-chrome:before {
content: "\f268";
}
.fa-firefox:before {
content: "\f269";
}
.fa-opera:before {
content: "\f26a";
}
.fa-internet-explorer:before {
content: "\f26b";
}
.fa-tv:before,
.fa-television:before {
content: "\f26c";
}
.fa-contao:before {
content: "\f26d";
}
.fa-500px:before {
content: "\f26e";
}
.fa-amazon:before {
content: "\f270";
}
.fa-calendar-plus-o:before {
content: "\f271";
}
.fa-calendar-minus-o:before {
content: "\f272";
}
.fa-calendar-times-o:before {
content: "\f273";
}
.fa-calendar-check-o:before {
content: "\f274";
}
.fa-industry:before {
content: "\f275";
}
.fa-map-pin:before {
content: "\f276";
}
.fa-map-signs:before {
content: "\f277";
}
.fa-map-o:before {
content: "\f278";
}
.fa-map:before {
content: "\f279";
}
.fa-commenting:before {
content: "\f27a";
}
.fa-commenting-o:before {
content: "\f27b";
}
.fa-houzz:before {
content: "\f27c";
}
.fa-vimeo:before {
content: "\f27d";
}
.fa-black-tie:before {
content: "\f27e";
}
.fa-fonticons:before {
content: "\f280";
}
.fa-reddit-alien:before {
content: "\f281";
}
.fa-edge:before {
content: "\f282";
}
.fa-credit-card-alt:before {
content: "\f283";
}
.fa-codiepie:before {
content: "\f284";
}
.fa-modx:before {
content: "\f285";
}
.fa-fort-awesome:before {
content: "\f286";
}
.fa-usb:before {
content: "\f287";
}
.fa-product-hunt:before {
content: "\f288";
}
.fa-mixcloud:before {
content: "\f289";
}
.fa-scribd:before {
content: "\f28a";
}
.fa-pause-circle:before {
content: "\f28b";
}
.fa-pause-circle-o:before {
content: "\f28c";
}
.fa-stop-circle:before {
content: "\f28d";
}
.fa-stop-circle-o:before {
content: "\f28e";
}
.fa-shopping-bag:before {
content: "\f290";
}
.fa-shopping-basket:before {
content: "\f291";
}
.fa-hashtag:before {
content: "\f292";
}
.fa-bluetooth:before {
content: "\f293";
}
.fa-bluetooth-b:before {
content: "\f294";
}
.fa-percent:before {
content: "\f295";
}
.fa-gitlab:before {
content: "\f296";
}
.fa-wpbeginner:before {
content: "\f297";
}
.fa-wpforms:before {
content: "\f298";
}
.fa-envira:before {
content: "\f299";
}
.fa-universal-access:before {
content: "\f29a";
}
.fa-wheelchair-alt:before {
content: "\f29b";
}
.fa-question-circle-o:before {
content: "\f29c";
}
.fa-blind:before {
content: "\f29d";
}
.fa-audio-description:before {
content: "\f29e";
}
.fa-volume-control-phone:before {
content: "\f2a0";
}
.fa-braille:before {
content: "\f2a1";
}
.fa-assistive-listening-systems:before {
content: "\f2a2";
}
.fa-asl-interpreting:before,
.fa-american-sign-language-interpreting:before {
content: "\f2a3";
}
.fa-deafness:before,
.fa-hard-of-hearing:before,
.fa-deaf:before {
content: "\f2a4";
}
.fa-glide:before {
content: "\f2a5";
}
.fa-glide-g:before {
content: "\f2a6";
}
.fa-signing:before,
.fa-sign-language:before {
content: "\f2a7";
}
.fa-low-vision:before {
content: "\f2a8";
}
.fa-viadeo:before {
content: "\f2a9";
}
.fa-viadeo-square:before {
content: "\f2aa";
}
.fa-snapchat:before {
content: "\f2ab";
}
.fa-snapchat-ghost:before {
content: "\f2ac";
}
.fa-snapchat-square:before {
content: "\f2ad";
}
.fa-pied-piper:before {
content: "\f2ae";
}
.fa-first-order:before {
content: "\f2b0";
}
.fa-yoast:before {
content: "\f2b1";
}
.fa-themeisle:before {
content: "\f2b2";
}
.fa-google-plus-circle:before,
.fa-google-plus-official:before {
content: "\f2b3";
}
.fa-fa:before,
.fa-font-awesome:before {
content: "\f2b4";
}
.fa-handshake-o:before {
content: "\f2b5";
}
.fa-envelope-open:before {
content: "\f2b6";
}
.fa-envelope-open-o:before {
content: "\f2b7";
}
.fa-linode:before {
content: "\f2b8";
}
.fa-address-book:before {
content: "\f2b9";
}
.fa-address-book-o:before {
content: "\f2ba";
}
.fa-vcard:before,
.fa-address-card:before {
content: "\f2bb";
}
.fa-vcard-o:before,
.fa-address-card-o:before {
content: "\f2bc";
}
.fa-user-circle:before {
content: "\f2bd";
}
.fa-user-circle-o:before {
content: "\f2be";
}
.fa-user-o:before {
content: "\f2c0";
}
.fa-id-badge:before {
content: "\f2c1";
}
.fa-drivers-license:before,
.fa-id-card:before {
content: "\f2c2";
}
.fa-drivers-license-o:before,
.fa-id-card-o:before {
content: "\f2c3";
}
.fa-quora:before {
content: "\f2c4";
}
.fa-free-code-camp:before {
content: "\f2c5";
}
.fa-telegram:before {
content: "\f2c6";
}
.fa-thermometer-4:before,
.fa-thermometer:before,
.fa-thermometer-full:before {
content: "\f2c7";
}
.fa-thermometer-3:before,
.fa-thermometer-three-quarters:before {
content: "\f2c8";
}
.fa-thermometer-2:before,
.fa-thermometer-half:before {
content: "\f2c9";
}
.fa-thermometer-1:before,
.fa-thermometer-quarter:before {
content: "\f2ca";
}
.fa-thermometer-0:before,
.fa-thermometer-empty:before {
content: "\f2cb";
}
.fa-shower:before {
content: "\f2cc";
}
.fa-bathtub:before,
.fa-s15:before,
.fa-bath:before {
content: "\f2cd";
}
.fa-podcast:before {
content: "\f2ce";
}
.fa-window-maximize:before {
content: "\f2d0";
}
.fa-window-minimize:before {
content: "\f2d1";
}
.fa-window-restore:before {
content: "\f2d2";
}
.fa-times-rectangle:before,
.fa-window-close:before {
content: "\f2d3";
}
.fa-times-rectangle-o:before,
.fa-window-close-o:before {
content: "\f2d4";
}
.fa-bandcamp:before {
content: "\f2d5";
}
.fa-grav:before {
content: "\f2d6";
}
.fa-etsy:before {
content: "\f2d7";
}
.fa-imdb:before {
content: "\f2d8";
}
.fa-ravelry:before {
content: "\f2d9";
}
.fa-eercast:before {
content: "\f2da";
}
.fa-microchip:before {
content: "\f2db";
}
.fa-snowflake-o:before {
content: "\f2dc";
}
.fa-superpowers:before {
content: "\f2dd";
}
.fa-wpexplorer:before {
content: "\f2de";
}
.fa-meetup:before {
content: "\f2e0";
}
.sr-only {
position: absolute;
width: 1px;
height: 1px;
padding: 0;
margin: -1px;
overflow: hidden;
clip: rect(0, 0, 0, 0);
border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
position: static;
width: auto;
height: auto;
margin: 0;
overflow: visible;
clip: auto;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
position: static;
width: auto;
height: auto;
margin: 0;
overflow: visible;
clip: auto;
}
/*!
*
* IPython base
*
*/
.modal.fade .modal-dialog {
-webkit-transform: translate(0, 0);
-ms-transform: translate(0, 0);
-o-transform: translate(0, 0);
transform: translate(0, 0);
}
code {
color: #000;
}
pre {
font-size: inherit;
line-height: inherit;
}
label {
font-weight: normal;
}
/* Make the page background atleast 100% the height of the view port */
/* Make the page itself atleast 70% the height of the view port */
.border-box-sizing {
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
}
.corner-all {
border-radius: 2px;
}
.no-padding {
padding: 0px;
}
/* Flexible box model classes */
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
/* This file is a compatability layer. It allows the usage of flexible box
model layouts accross multiple browsers, including older browsers. The newest,
universal implementation of the flexible box model is used when available (see
`Modern browsers` comments below). Browsers that are known to implement this
new spec completely include:
Firefox 28.0+
Chrome 29.0+
Internet Explorer 11+
Opera 17.0+
Browsers not listed, including Safari, are supported via the styling under the
`Old browsers` comments below.
*/
.hbox {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
}
.hbox > * {
/* Old browsers */
-webkit-box-flex: 0;
-moz-box-flex: 0;
box-flex: 0;
/* Modern browsers */
flex: none;
}
.vbox {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
}
.vbox > * {
/* Old browsers */
-webkit-box-flex: 0;
-moz-box-flex: 0;
box-flex: 0;
/* Modern browsers */
flex: none;
}
.hbox.reverse,
.vbox.reverse,
.reverse {
/* Old browsers */
-webkit-box-direction: reverse;
-moz-box-direction: reverse;
box-direction: reverse;
/* Modern browsers */
flex-direction: row-reverse;
}
.hbox.box-flex0,
.vbox.box-flex0,
.box-flex0 {
/* Old browsers */
-webkit-box-flex: 0;
-moz-box-flex: 0;
box-flex: 0;
/* Modern browsers */
flex: none;
width: auto;
}
.hbox.box-flex1,
.vbox.box-flex1,
.box-flex1 {
/* Old browsers */
-webkit-box-flex: 1;
-moz-box-flex: 1;
box-flex: 1;
/* Modern browsers */
flex: 1;
}
.hbox.box-flex,
.vbox.box-flex,
.box-flex {
/* Old browsers */
/* Old browsers */
-webkit-box-flex: 1;
-moz-box-flex: 1;
box-flex: 1;
/* Modern browsers */
flex: 1;
}
.hbox.box-flex2,
.vbox.box-flex2,
.box-flex2 {
/* Old browsers */
-webkit-box-flex: 2;
-moz-box-flex: 2;
box-flex: 2;
/* Modern browsers */
flex: 2;
}
.box-group1 {
/* Deprecated */
-webkit-box-flex-group: 1;
-moz-box-flex-group: 1;
box-flex-group: 1;
}
.box-group2 {
/* Deprecated */
-webkit-box-flex-group: 2;
-moz-box-flex-group: 2;
box-flex-group: 2;
}
.hbox.start,
.vbox.start,
.start {
/* Old browsers */
-webkit-box-pack: start;
-moz-box-pack: start;
box-pack: start;
/* Modern browsers */
justify-content: flex-start;
}
.hbox.end,
.vbox.end,
.end {
/* Old browsers */
-webkit-box-pack: end;
-moz-box-pack: end;
box-pack: end;
/* Modern browsers */
justify-content: flex-end;
}
.hbox.center,
.vbox.center,
.center {
/* Old browsers */
-webkit-box-pack: center;
-moz-box-pack: center;
box-pack: center;
/* Modern browsers */
justify-content: center;
}
.hbox.baseline,
.vbox.baseline,
.baseline {
/* Old browsers */
-webkit-box-pack: baseline;
-moz-box-pack: baseline;
box-pack: baseline;
/* Modern browsers */
justify-content: baseline;
}
.hbox.stretch,
.vbox.stretch,
.stretch {
/* Old browsers */
-webkit-box-pack: stretch;
-moz-box-pack: stretch;
box-pack: stretch;
/* Modern browsers */
justify-content: stretch;
}
.hbox.align-start,
.vbox.align-start,
.align-start {
/* Old browsers */
-webkit-box-align: start;
-moz-box-align: start;
box-align: start;
/* Modern browsers */
align-items: flex-start;
}
.hbox.align-end,
.vbox.align-end,
.align-end {
/* Old browsers */
-webkit-box-align: end;
-moz-box-align: end;
box-align: end;
/* Modern browsers */
align-items: flex-end;
}
.hbox.align-center,
.vbox.align-center,
.align-center {
/* Old browsers */
-webkit-box-align: center;
-moz-box-align: center;
box-align: center;
/* Modern browsers */
align-items: center;
}
.hbox.align-baseline,
.vbox.align-baseline,
.align-baseline {
/* Old browsers */
-webkit-box-align: baseline;
-moz-box-align: baseline;
box-align: baseline;
/* Modern browsers */
align-items: baseline;
}
.hbox.align-stretch,
.vbox.align-stretch,
.align-stretch {
/* Old browsers */
-webkit-box-align: stretch;
-moz-box-align: stretch;
box-align: stretch;
/* Modern browsers */
align-items: stretch;
}
div.error {
margin: 2em;
text-align: center;
}
div.error > h1 {
font-size: 500%;
line-height: normal;
}
div.error > p {
font-size: 200%;
line-height: normal;
}
div.traceback-wrapper {
text-align: left;
max-width: 800px;
margin: auto;
}
div.traceback-wrapper pre.traceback {
max-height: 600px;
overflow: auto;
}
/**
* Primary styles
*
* Author: Jupyter Development Team
*/
body {
background-color: #fff;
/* This makes sure that the body covers the entire window and needs to
be in a different element than the display: box in wrapper below */
position: absolute;
left: 0px;
right: 0px;
top: 0px;
bottom: 0px;
overflow: visible;
}
body > #header {
/* Initially hidden to prevent FLOUC */
display: none;
background-color: #fff;
/* Display over codemirror */
position: relative;
z-index: 100;
}
body > #header #header-container {
display: flex;
flex-direction: row;
justify-content: space-between;
padding: 5px;
padding-bottom: 5px;
padding-top: 5px;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
}
body > #header .header-bar {
width: 100%;
height: 1px;
background: #e7e7e7;
margin-bottom: -1px;
}
@media print {
body > #header {
display: none !important;
}
}
#header-spacer {
width: 100%;
visibility: hidden;
}
@media print {
#header-spacer {
display: none;
}
}
#ipython_notebook {
padding-left: 0px;
padding-top: 1px;
padding-bottom: 1px;
}
[dir="rtl"] #ipython_notebook {
margin-right: 10px;
margin-left: 0;
}
[dir="rtl"] #ipython_notebook.pull-left {
float: right !important;
float: right;
}
.flex-spacer {
flex: 1;
}
#noscript {
width: auto;
padding-top: 16px;
padding-bottom: 16px;
text-align: center;
font-size: 22px;
color: red;
font-weight: bold;
}
#ipython_notebook img {
height: 28px;
}
#site {
width: 100%;
display: none;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
overflow: auto;
}
@media print {
#site {
height: auto !important;
}
}
/* Smaller buttons */
.ui-button .ui-button-text {
padding: 0.2em 0.8em;
font-size: 77%;
}
input.ui-button {
padding: 0.3em 0.9em;
}
span#kernel_logo_widget {
margin: 0 10px;
}
span#login_widget {
float: right;
}
[dir="rtl"] span#login_widget {
float: left;
}
span#login_widget > .button,
#logout {
color: #333;
background-color: #fff;
border-color: #ccc;
}
span#login_widget > .button:focus,
#logout:focus,
span#login_widget > .button.focus,
#logout.focus {
color: #333;
background-color: #e6e6e6;
border-color: #8c8c8c;
}
span#login_widget > .button:hover,
#logout:hover {
color: #333;
background-color: #e6e6e6;
border-color: #adadad;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
color: #333;
background-color: #e6e6e6;
border-color: #adadad;
}
span#login_widget > .button:active:hover,
#logout:active:hover,
span#login_widget > .button.active:hover,
#logout.active:hover,
.open > .dropdown-togglespan#login_widget > .button:hover,
.open > .dropdown-toggle#logout:hover,
span#login_widget > .button:active:focus,
#logout:active:focus,
span#login_widget > .button.active:focus,
#logout.active:focus,
.open > .dropdown-togglespan#login_widget > .button:focus,
.open > .dropdown-toggle#logout:focus,
span#login_widget > .button:active.focus,
#logout:active.focus,
span#login_widget > .button.active.focus,
#logout.active.focus,
.open > .dropdown-togglespan#login_widget > .button.focus,
.open > .dropdown-toggle#logout.focus {
color: #333;
background-color: #d4d4d4;
border-color: #8c8c8c;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
background-image: none;
}
span#login_widget > .button.disabled:hover,
#logout.disabled:hover,
span#login_widget > .button[disabled]:hover,
#logout[disabled]:hover,
fieldset[disabled] span#login_widget > .button:hover,
fieldset[disabled] #logout:hover,
span#login_widget > .button.disabled:focus,
#logout.disabled:focus,
span#login_widget > .button[disabled]:focus,
#logout[disabled]:focus,
fieldset[disabled] span#login_widget > .button:focus,
fieldset[disabled] #logout:focus,
span#login_widget > .button.disabled.focus,
#logout.disabled.focus,
span#login_widget > .button[disabled].focus,
#logout[disabled].focus,
fieldset[disabled] span#login_widget > .button.focus,
fieldset[disabled] #logout.focus {
background-color: #fff;
border-color: #ccc;
}
span#login_widget > .button .badge,
#logout .badge {
color: #fff;
background-color: #333;
}
.nav-header {
text-transform: none;
}
#header > span {
margin-top: 10px;
}
.modal_stretch .modal-dialog {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
min-height: 80vh;
}
.modal_stretch .modal-dialog .modal-body {
max-height: calc(100vh - 200px);
overflow: auto;
flex: 1;
}
.modal-header {
cursor: move;
}
@media (min-width: 768px) {
.modal .modal-dialog {
width: 700px;
}
}
@media (min-width: 768px) {
select.form-control {
margin-left: 12px;
margin-right: 12px;
}
}
/*!
*
* IPython auth
*
*/
.center-nav {
display: inline-block;
margin-bottom: -4px;
}
[dir="rtl"] .center-nav form.pull-left {
float: right !important;
float: right;
}
[dir="rtl"] .center-nav .navbar-text {
float: right;
}
[dir="rtl"] .navbar-inner {
text-align: right;
}
[dir="rtl"] div.text-left {
text-align: right;
}
/*!
*
* IPython tree view
*
*/
/* We need an invisible input field on top of the sentense*/
/* "Drag file onto the list ..." */
.alternate_upload {
background-color: none;
display: inline;
}
.alternate_upload.form {
padding: 0;
margin: 0;
}
.alternate_upload input.fileinput {
position: absolute;
display: block;
width: 100%;
height: 100%;
overflow: hidden;
cursor: pointer;
opacity: 0;
z-index: 2;
}
.alternate_upload .btn-xs > input.fileinput {
margin: -1px -5px;
}
.alternate_upload .btn-upload {
position: relative;
height: 22px;
}
::-webkit-file-upload-button {
cursor: pointer;
}
/**
* Primary styles
*
* Author: Jupyter Development Team
*/
ul#tabs {
margin-bottom: 4px;
}
ul#tabs a {
padding-top: 6px;
padding-bottom: 4px;
}
[dir="rtl"] ul#tabs.nav-tabs > li {
float: right;
}
[dir="rtl"] ul#tabs.nav.nav-tabs {
padding-right: 0;
}
ul.breadcrumb a:focus,
ul.breadcrumb a:hover {
text-decoration: none;
}
ul.breadcrumb i.icon-home {
font-size: 16px;
margin-right: 4px;
}
ul.breadcrumb span {
color: #5e5e5e;
}
.list_toolbar {
padding: 4px 0 4px 0;
vertical-align: middle;
}
.list_toolbar .tree-buttons {
padding-top: 1px;
}
[dir="rtl"] .list_toolbar .tree-buttons .pull-right {
float: left !important;
float: left;
}
[dir="rtl"] .list_toolbar .col-sm-4,
[dir="rtl"] .list_toolbar .col-sm-8 {
float: right;
}
.dynamic-buttons {
padding-top: 3px;
display: inline-block;
}
.list_toolbar [class*="span"] {
min-height: 24px;
}
.list_header {
font-weight: bold;
background-color: #EEE;
}
.list_placeholder {
font-weight: bold;
padding-top: 4px;
padding-bottom: 4px;
padding-left: 7px;
padding-right: 7px;
}
.list_container {
margin-top: 4px;
margin-bottom: 20px;
border: 1px solid #ddd;
border-radius: 2px;
}
.list_container > div {
border-bottom: 1px solid #ddd;
}
.list_container > div:hover .list-item {
background-color: red;
}
.list_container > div:last-child {
border: none;
}
.list_item:hover .list_item {
background-color: #ddd;
}
.list_item a {
text-decoration: none;
}
.list_item:hover {
background-color: #fafafa;
}
.list_header > div,
.list_item > div {
padding-top: 4px;
padding-bottom: 4px;
padding-left: 7px;
padding-right: 7px;
line-height: 22px;
}
.list_header > div input,
.list_item > div input {
margin-right: 7px;
margin-left: 14px;
vertical-align: text-bottom;
line-height: 22px;
position: relative;
top: -1px;
}
.list_header > div .item_link,
.list_item > div .item_link {
margin-left: -1px;
vertical-align: baseline;
line-height: 22px;
}
[dir="rtl"] .list_item > div input {
margin-right: 0;
}
.new-file input[type=checkbox] {
visibility: hidden;
}
.item_name {
line-height: 22px;
height: 24px;
}
.item_icon {
font-size: 14px;
color: #5e5e5e;
margin-right: 7px;
margin-left: 7px;
line-height: 22px;
vertical-align: baseline;
}
.item_modified {
margin-right: 7px;
margin-left: 7px;
}
[dir="rtl"] .item_modified.pull-right {
float: left !important;
float: left;
}
.item_buttons {
line-height: 1em;
margin-left: -5px;
}
.item_buttons .btn,
.item_buttons .btn-group,
.item_buttons .input-group {
float: left;
}
.item_buttons > .btn,
.item_buttons > .btn-group,
.item_buttons > .input-group {
margin-left: 5px;
}
.item_buttons .btn {
min-width: 13ex;
}
.item_buttons .running-indicator {
padding-top: 4px;
color: #5cb85c;
}
.item_buttons .kernel-name {
padding-top: 4px;
color: #5bc0de;
margin-right: 7px;
float: left;
}
[dir="rtl"] .item_buttons.pull-right {
float: left !important;
float: left;
}
[dir="rtl"] .item_buttons .kernel-name {
margin-left: 7px;
float: right;
}
.toolbar_info {
height: 24px;
line-height: 24px;
}
.list_item input:not([type=checkbox]) {
padding-top: 3px;
padding-bottom: 3px;
height: 22px;
line-height: 14px;
margin: 0px;
}
.highlight_text {
color: blue;
}
#project_name {
display: inline-block;
padding-left: 7px;
margin-left: -2px;
}
#project_name > .breadcrumb {
padding: 0px;
margin-bottom: 0px;
background-color: transparent;
font-weight: bold;
}
.sort_button {
display: inline-block;
padding-left: 7px;
}
[dir="rtl"] .sort_button.pull-right {
float: left !important;
float: left;
}
#tree-selector {
padding-right: 0px;
}
#button-select-all {
min-width: 50px;
}
[dir="rtl"] #button-select-all.btn {
float: right ;
}
#select-all {
margin-left: 7px;
margin-right: 2px;
margin-top: 2px;
height: 16px;
}
[dir="rtl"] #select-all.pull-left {
float: right !important;
float: right;
}
.menu_icon {
margin-right: 2px;
}
.tab-content .row {
margin-left: 0px;
margin-right: 0px;
}
.folder_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f114";
}
.folder_icon:before.fa-pull-left {
margin-right: .3em;
}
.folder_icon:before.fa-pull-right {
margin-left: .3em;
}
.folder_icon:before.pull-left {
margin-right: .3em;
}
.folder_icon:before.pull-right {
margin-left: .3em;
}
.notebook_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f02d";
position: relative;
top: -1px;
}
.notebook_icon:before.fa-pull-left {
margin-right: .3em;
}
.notebook_icon:before.fa-pull-right {
margin-left: .3em;
}
.notebook_icon:before.pull-left {
margin-right: .3em;
}
.notebook_icon:before.pull-right {
margin-left: .3em;
}
.running_notebook_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f02d";
position: relative;
top: -1px;
color: #5cb85c;
}
.running_notebook_icon:before.fa-pull-left {
margin-right: .3em;
}
.running_notebook_icon:before.fa-pull-right {
margin-left: .3em;
}
.running_notebook_icon:before.pull-left {
margin-right: .3em;
}
.running_notebook_icon:before.pull-right {
margin-left: .3em;
}
.file_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f016";
position: relative;
top: -2px;
}
.file_icon:before.fa-pull-left {
margin-right: .3em;
}
.file_icon:before.fa-pull-right {
margin-left: .3em;
}
.file_icon:before.pull-left {
margin-right: .3em;
}
.file_icon:before.pull-right {
margin-left: .3em;
}
#notebook_toolbar .pull-right {
padding-top: 0px;
margin-right: -1px;
}
ul#new-menu {
left: auto;
right: 0;
}
#new-menu .dropdown-header {
font-size: 10px;
border-bottom: 1px solid #e5e5e5;
padding: 0 0 3px;
margin: -3px 20px 0;
}
.kernel-menu-icon {
padding-right: 12px;
width: 24px;
content: "\f096";
}
.kernel-menu-icon:before {
content: "\f096";
}
.kernel-menu-icon-current:before {
content: "\f00c";
}
#tab_content {
padding-top: 20px;
}
#running .panel-group .panel {
margin-top: 3px;
margin-bottom: 1em;
}
#running .panel-group .panel .panel-heading {
background-color: #EEE;
padding-top: 4px;
padding-bottom: 4px;
padding-left: 7px;
padding-right: 7px;
line-height: 22px;
}
#running .panel-group .panel .panel-heading a:focus,
#running .panel-group .panel .panel-heading a:hover {
text-decoration: none;
}
#running .panel-group .panel .panel-body {
padding: 0px;
}
#running .panel-group .panel .panel-body .list_container {
margin-top: 0px;
margin-bottom: 0px;
border: 0px;
border-radius: 0px;
}
#running .panel-group .panel .panel-body .list_container .list_item {
border-bottom: 1px solid #ddd;
}
#running .panel-group .panel .panel-body .list_container .list_item:last-child {
border-bottom: 0px;
}
.delete-button {
display: none;
}
.duplicate-button {
display: none;
}
.rename-button {
display: none;
}
.move-button {
display: none;
}
.download-button {
display: none;
}
.shutdown-button {
display: none;
}
.dynamic-instructions {
display: inline-block;
padding-top: 4px;
}
/*!
*
* IPython text editor webapp
*
*/
.selected-keymap i.fa {
padding: 0px 5px;
}
.selected-keymap i.fa:before {
content: "\f00c";
}
#mode-menu {
overflow: auto;
max-height: 20em;
}
.edit_app #header {
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.edit_app #menubar .navbar {
/* Use a negative 1 bottom margin, so the border overlaps the border of the
header */
margin-bottom: -1px;
}
.dirty-indicator {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
width: 20px;
}
.dirty-indicator.fa-pull-left {
margin-right: .3em;
}
.dirty-indicator.fa-pull-right {
margin-left: .3em;
}
.dirty-indicator.pull-left {
margin-right: .3em;
}
.dirty-indicator.pull-right {
margin-left: .3em;
}
.dirty-indicator-dirty {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
width: 20px;
}
.dirty-indicator-dirty.fa-pull-left {
margin-right: .3em;
}
.dirty-indicator-dirty.fa-pull-right {
margin-left: .3em;
}
.dirty-indicator-dirty.pull-left {
margin-right: .3em;
}
.dirty-indicator-dirty.pull-right {
margin-left: .3em;
}
.dirty-indicator-clean {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
width: 20px;
}
.dirty-indicator-clean.fa-pull-left {
margin-right: .3em;
}
.dirty-indicator-clean.fa-pull-right {
margin-left: .3em;
}
.dirty-indicator-clean.pull-left {
margin-right: .3em;
}
.dirty-indicator-clean.pull-right {
margin-left: .3em;
}
.dirty-indicator-clean:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f00c";
}
.dirty-indicator-clean:before.fa-pull-left {
margin-right: .3em;
}
.dirty-indicator-clean:before.fa-pull-right {
margin-left: .3em;
}
.dirty-indicator-clean:before.pull-left {
margin-right: .3em;
}
.dirty-indicator-clean:before.pull-right {
margin-left: .3em;
}
#filename {
font-size: 16pt;
display: table;
padding: 0px 5px;
}
#current-mode {
padding-left: 5px;
padding-right: 5px;
}
#texteditor-backdrop {
padding-top: 20px;
padding-bottom: 20px;
}
@media not print {
#texteditor-backdrop {
background-color: #EEE;
}
}
@media print {
#texteditor-backdrop #texteditor-container .CodeMirror-gutter,
#texteditor-backdrop #texteditor-container .CodeMirror-gutters {
background-color: #fff;
}
}
@media not print {
#texteditor-backdrop #texteditor-container .CodeMirror-gutter,
#texteditor-backdrop #texteditor-container .CodeMirror-gutters {
background-color: #fff;
}
}
@media not print {
#texteditor-backdrop #texteditor-container {
padding: 0px;
background-color: #fff;
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
}
.CodeMirror-dialog {
background-color: #fff;
}
/*!
*
* IPython notebook
*
*/
/* CSS font colors for translated ANSI escape sequences */
/* The color values are a mix of
http://www.xcolors.net/dl/baskerville-ivorylight and
http://www.xcolors.net/dl/euphrasia */
.ansi-black-fg {
color: #3E424D;
}
.ansi-black-bg {
background-color: #3E424D;
}
.ansi-black-intense-fg {
color: #282C36;
}
.ansi-black-intense-bg {
background-color: #282C36;
}
.ansi-red-fg {
color: #E75C58;
}
.ansi-red-bg {
background-color: #E75C58;
}
.ansi-red-intense-fg {
color: #B22B31;
}
.ansi-red-intense-bg {
background-color: #B22B31;
}
.ansi-green-fg {
color: #00A250;
}
.ansi-green-bg {
background-color: #00A250;
}
.ansi-green-intense-fg {
color: #007427;
}
.ansi-green-intense-bg {
background-color: #007427;
}
.ansi-yellow-fg {
color: #DDB62B;
}
.ansi-yellow-bg {
background-color: #DDB62B;
}
.ansi-yellow-intense-fg {
color: #B27D12;
}
.ansi-yellow-intense-bg {
background-color: #B27D12;
}
.ansi-blue-fg {
color: #208FFB;
}
.ansi-blue-bg {
background-color: #208FFB;
}
.ansi-blue-intense-fg {
color: #0065CA;
}
.ansi-blue-intense-bg {
background-color: #0065CA;
}
.ansi-magenta-fg {
color: #D160C4;
}
.ansi-magenta-bg {
background-color: #D160C4;
}
.ansi-magenta-intense-fg {
color: #A03196;
}
.ansi-magenta-intense-bg {
background-color: #A03196;
}
.ansi-cyan-fg {
color: #60C6C8;
}
.ansi-cyan-bg {
background-color: #60C6C8;
}
.ansi-cyan-intense-fg {
color: #258F8F;
}
.ansi-cyan-intense-bg {
background-color: #258F8F;
}
.ansi-white-fg {
color: #C5C1B4;
}
.ansi-white-bg {
background-color: #C5C1B4;
}
.ansi-white-intense-fg {
color: #A1A6B2;
}
.ansi-white-intense-bg {
background-color: #A1A6B2;
}
.ansi-default-inverse-fg {
color: #FFFFFF;
}
.ansi-default-inverse-bg {
background-color: #000000;
}
.ansi-bold {
font-weight: bold;
}
.ansi-underline {
text-decoration: underline;
}
/* The following styles are deprecated an will be removed in a future version */
.ansibold {
font-weight: bold;
}
.ansi-inverse {
outline: 0.5px dotted;
}
/* use dark versions for foreground, to improve visibility */
.ansiblack {
color: black;
}
.ansired {
color: darkred;
}
.ansigreen {
color: darkgreen;
}
.ansiyellow {
color: #c4a000;
}
.ansiblue {
color: darkblue;
}
.ansipurple {
color: darkviolet;
}
.ansicyan {
color: steelblue;
}
.ansigray {
color: gray;
}
/* and light for background, for the same reason */
.ansibgblack {
background-color: black;
}
.ansibgred {
background-color: red;
}
.ansibggreen {
background-color: green;
}
.ansibgyellow {
background-color: yellow;
}
.ansibgblue {
background-color: blue;
}
.ansibgpurple {
background-color: magenta;
}
.ansibgcyan {
background-color: cyan;
}
.ansibggray {
background-color: gray;
}
div.cell {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
border-radius: 2px;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
border-width: 1px;
border-style: solid;
border-color: transparent;
width: 100%;
padding: 5px;
/* This acts as a spacer between cells, that is outside the border */
margin: 0px;
outline: none;
position: relative;
overflow: visible;
}
div.cell:before {
position: absolute;
display: block;
top: -1px;
left: -1px;
width: 5px;
height: calc(100% + 2px);
content: '';
background: transparent;
}
div.cell.jupyter-soft-selected {
border-left-color: #E3F2FD;
border-left-width: 1px;
padding-left: 5px;
border-right-color: #E3F2FD;
border-right-width: 1px;
background: #E3F2FD;
}
@media print {
div.cell.jupyter-soft-selected {
border-color: transparent;
}
}
div.cell.selected,
div.cell.selected.jupyter-soft-selected {
border-color: #ababab;
}
div.cell.selected:before,
div.cell.selected.jupyter-soft-selected:before {
position: absolute;
display: block;
top: -1px;
left: -1px;
width: 5px;
height: calc(100% + 2px);
content: '';
background: #42A5F5;
}
@media print {
div.cell.selected,
div.cell.selected.jupyter-soft-selected {
border-color: transparent;
}
}
.edit_mode div.cell.selected {
border-color: #66BB6A;
}
.edit_mode div.cell.selected:before {
position: absolute;
display: block;
top: -1px;
left: -1px;
width: 5px;
height: calc(100% + 2px);
content: '';
background: #66BB6A;
}
@media print {
.edit_mode div.cell.selected {
border-color: transparent;
}
}
.prompt {
/* This needs to be wide enough for 3 digit prompt numbers: In[100]: */
min-width: 14ex;
/* This padding is tuned to match the padding on the CodeMirror editor. */
padding: 0.4em;
margin: 0px;
font-family: monospace;
text-align: right;
/* This has to match that of the the CodeMirror class line-height below */
line-height: 1.21429em;
/* Don't highlight prompt number selection */
-webkit-touch-callout: none;
-webkit-user-select: none;
-khtml-user-select: none;
-moz-user-select: none;
-ms-user-select: none;
user-select: none;
/* Use default cursor */
cursor: default;
}
@media (max-width: 540px) {
.prompt {
text-align: left;
}
}
div.inner_cell {
min-width: 0;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
/* Old browsers */
-webkit-box-flex: 1;
-moz-box-flex: 1;
box-flex: 1;
/* Modern browsers */
flex: 1;
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_area {
border: 1px solid #cfcfcf;
border-radius: 2px;
background: #f7f7f7;
line-height: 1.21429em;
}
/* This is needed so that empty prompt areas can collapse to zero height when there
is no content in the output_subarea and the prompt. The main purpose of this is
to make sure that empty JavaScript output_subareas have no height. */
div.prompt:empty {
padding-top: 0;
padding-bottom: 0;
}
div.unrecognized_cell {
padding: 5px 5px 5px 0px;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
}
div.unrecognized_cell .inner_cell {
border-radius: 2px;
padding: 5px;
font-weight: bold;
color: red;
border: 1px solid #cfcfcf;
background: #eaeaea;
}
div.unrecognized_cell .inner_cell a {
color: inherit;
text-decoration: none;
}
div.unrecognized_cell .inner_cell a:hover {
color: inherit;
text-decoration: none;
}
@media (max-width: 540px) {
div.unrecognized_cell > div.prompt {
display: none;
}
}
div.code_cell {
/* avoid page breaking on code cells when printing */
}
@media print {
div.code_cell {
page-break-inside: avoid;
}
}
/* any special styling for code cells that are currently running goes here */
div.input {
page-break-inside: avoid;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
}
@media (max-width: 540px) {
div.input {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
}
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_prompt {
color: #303F9F;
border-top: 1px solid transparent;
}
div.input_area > div.highlight {
margin: 0.4em;
border: none;
padding: 0px;
background-color: transparent;
}
div.input_area > div.highlight > pre {
margin: 0px;
border: none;
padding: 0px;
background-color: transparent;
}
/* The following gets added to the <head> if it is detected that the user has a
* monospace font with inconsistent normal/bold/italic height. See
* notebookmain.js. Such fonts will have keywords vertically offset with
* respect to the rest of the text. The user should select a better font.
* See: https://github.com/ipython/ipython/issues/1503
*
* .CodeMirror span {
* vertical-align: bottom;
* }
*/
.CodeMirror {
line-height: 1.21429em;
/* Changed from 1em to our global default */
font-size: 14px;
height: auto;
/* Changed to auto to autogrow */
background: none;
/* Changed from white to allow our bg to show through */
}
.CodeMirror-scroll {
/* The CodeMirror docs are a bit fuzzy on if overflow-y should be hidden or visible.*/
/* We have found that if it is visible, vertical scrollbars appear with font size changes.*/
overflow-y: hidden;
overflow-x: auto;
}
.CodeMirror-lines {
/* In CM2, this used to be 0.4em, but in CM3 it went to 4px. We need the em value because */
/* we have set a different line-height and want this to scale with that. */
/* Note that this should set vertical padding only, since CodeMirror assumes
that horizontal padding will be set on CodeMirror pre */
padding: 0.4em 0;
}
.CodeMirror-linenumber {
padding: 0 8px 0 4px;
}
.CodeMirror-gutters {
border-bottom-left-radius: 2px;
border-top-left-radius: 2px;
}
.CodeMirror pre {
/* In CM3 this went to 4px from 0 in CM2. This sets horizontal padding only,
use .CodeMirror-lines for vertical */
padding: 0 0.4em;
border: 0;
border-radius: 0;
}
.CodeMirror-cursor {
border-left: 1.4px solid black;
}
@media screen and (min-width: 2138px) and (max-width: 4319px) {
.CodeMirror-cursor {
border-left: 2px solid black;
}
}
@media screen and (min-width: 4320px) {
.CodeMirror-cursor {
border-left: 4px solid black;
}
}
/*
Original style from softwaremaniacs.org (c) Ivan Sagalaev <Maniac@SoftwareManiacs.Org>
Adapted from GitHub theme
*/
.highlight-base {
color: #000;
}
.highlight-variable {
color: #000;
}
.highlight-variable-2 {
color: #1a1a1a;
}
.highlight-variable-3 {
color: #333333;
}
.highlight-string {
color: #BA2121;
}
.highlight-comment {
color: #408080;
font-style: italic;
}
.highlight-number {
color: #080;
}
.highlight-atom {
color: #88F;
}
.highlight-keyword {
color: #008000;
font-weight: bold;
}
.highlight-builtin {
color: #008000;
}
.highlight-error {
color: #f00;
}
.highlight-operator {
color: #AA22FF;
font-weight: bold;
}
.highlight-meta {
color: #AA22FF;
}
/* previously not defined, copying from default codemirror */
.highlight-def {
color: #00f;
}
.highlight-string-2 {
color: #f50;
}
.highlight-qualifier {
color: #555;
}
.highlight-bracket {
color: #997;
}
.highlight-tag {
color: #170;
}
.highlight-attribute {
color: #00c;
}
.highlight-header {
color: blue;
}
.highlight-quote {
color: #090;
}
.highlight-link {
color: #00c;
}
/* apply the same style to codemirror */
.cm-s-ipython span.cm-keyword {
color: #008000;
font-weight: bold;
}
.cm-s-ipython span.cm-atom {
color: #88F;
}
.cm-s-ipython span.cm-number {
color: #080;
}
.cm-s-ipython span.cm-def {
color: #00f;
}
.cm-s-ipython span.cm-variable {
color: #000;
}
.cm-s-ipython span.cm-operator {
color: #AA22FF;
font-weight: bold;
}
.cm-s-ipython span.cm-variable-2 {
color: #1a1a1a;
}
.cm-s-ipython span.cm-variable-3 {
color: #333333;
}
.cm-s-ipython span.cm-comment {
color: #408080;
font-style: italic;
}
.cm-s-ipython span.cm-string {
color: #BA2121;
}
.cm-s-ipython span.cm-string-2 {
color: #f50;
}
.cm-s-ipython span.cm-meta {
color: #AA22FF;
}
.cm-s-ipython span.cm-qualifier {
color: #555;
}
.cm-s-ipython span.cm-builtin {
color: #008000;
}
.cm-s-ipython span.cm-bracket {
color: #997;
}
.cm-s-ipython span.cm-tag {
color: #170;
}
.cm-s-ipython span.cm-attribute {
color: #00c;
}
.cm-s-ipython span.cm-header {
color: blue;
}
.cm-s-ipython span.cm-quote {
color: #090;
}
.cm-s-ipython span.cm-link {
color: #00c;
}
.cm-s-ipython span.cm-error {
color: #f00;
}
.cm-s-ipython span.cm-tab {
background: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAMCAYAAAAkuj5RAAAAAXNSR0IArs4c6QAAAGFJREFUSMft1LsRQFAQheHPowAKoACx3IgEKtaEHujDjORSgWTH/ZOdnZOcM/sgk/kFFWY0qV8foQwS4MKBCS3qR6ixBJvElOobYAtivseIE120FaowJPN75GMu8j/LfMwNjh4HUpwg4LUAAAAASUVORK5CYII=);
background-position: right;
background-repeat: no-repeat;
}
div.output_wrapper {
/* this position must be relative to enable descendents to be absolute within it */
position: relative;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
z-index: 1;
}
/* class for the output area when it should be height-limited */
div.output_scroll {
/* ideally, this would be max-height, but FF barfs all over that */
height: 24em;
/* FF needs this *and the wrapper* to specify full width, or it will shrinkwrap */
width: 100%;
overflow: auto;
border-radius: 2px;
-webkit-box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
display: block;
}
/* output div while it is collapsed */
div.output_collapsed {
margin: 0px;
padding: 0px;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
}
div.out_prompt_overlay {
height: 100%;
padding: 0px 0.4em;
position: absolute;
border-radius: 2px;
}
div.out_prompt_overlay:hover {
/* use inner shadow to get border that is computed the same on WebKit/FF */
-webkit-box-shadow: inset 0 0 1px #000;
box-shadow: inset 0 0 1px #000;
background: rgba(240, 240, 240, 0.5);
}
div.output_prompt {
color: #D84315;
}
/* This class is the outer container of all output sections. */
div.output_area {
padding: 0px;
page-break-inside: avoid;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
}
div.output_area .MathJax_Display {
text-align: left !important;
}
div.output_area .rendered_html table {
margin-left: 0;
margin-right: 0;
}
div.output_area .rendered_html img {
margin-left: 0;
margin-right: 0;
}
div.output_area img,
div.output_area svg {
max-width: 100%;
height: auto;
}
div.output_area img.unconfined,
div.output_area svg.unconfined {
max-width: none;
}
div.output_area .mglyph > img {
max-width: none;
}
/* This is needed to protect the pre formating from global settings such
as that of bootstrap */
.output {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
}
@media (max-width: 540px) {
div.output_area {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
}
}
div.output_area pre {
margin: 0;
padding: 1px 0 1px 0;
border: 0;
vertical-align: baseline;
color: black;
background-color: transparent;
border-radius: 0;
}
/* This class is for the output subarea inside the output_area and after
the prompt div. */
div.output_subarea {
overflow-x: auto;
padding: 0.4em;
/* Old browsers */
-webkit-box-flex: 1;
-moz-box-flex: 1;
box-flex: 1;
/* Modern browsers */
flex: 1;
max-width: calc(100% - 14ex);
}
div.output_scroll div.output_subarea {
overflow-x: visible;
}
/* The rest of the output_* classes are for special styling of the different
output types */
/* all text output has this class: */
div.output_text {
text-align: left;
color: #000;
/* This has to match that of the the CodeMirror class line-height below */
line-height: 1.21429em;
}
/* stdout/stderr are 'text' as well as 'stream', but execute_result/error are *not* streams */
div.output_stderr {
background: #fdd;
/* very light red background for stderr */
}
div.output_latex {
text-align: left;
}
/* Empty output_javascript divs should have no height */
div.output_javascript:empty {
padding: 0;
}
.js-error {
color: darkred;
}
/* raw_input styles */
div.raw_input_container {
line-height: 1.21429em;
padding-top: 5px;
}
pre.raw_input_prompt {
/* nothing needed here. */
}
input.raw_input {
font-family: monospace;
font-size: inherit;
color: inherit;
width: auto;
/* make sure input baseline aligns with prompt */
vertical-align: baseline;
/* padding + margin = 0.5em between prompt and cursor */
padding: 0em 0.25em;
margin: 0em 0.25em;
}
input.raw_input:focus {
box-shadow: none;
}
p.p-space {
margin-bottom: 10px;
}
div.output_unrecognized {
padding: 5px;
font-weight: bold;
color: red;
}
div.output_unrecognized a {
color: inherit;
text-decoration: none;
}
div.output_unrecognized a:hover {
color: inherit;
text-decoration: none;
}
.rendered_html {
color: #000;
/* any extras will just be numbers: */
}
.rendered_html em {
font-style: italic;
}
.rendered_html strong {
font-weight: bold;
}
.rendered_html u {
text-decoration: underline;
}
.rendered_html :link {
text-decoration: underline;
}
.rendered_html :visited {
text-decoration: underline;
}
.rendered_html h1 {
font-size: 185.7%;
margin: 1.08em 0 0 0;
font-weight: bold;
line-height: 1.0;
}
.rendered_html h2 {
font-size: 157.1%;
margin: 1.27em 0 0 0;
font-weight: bold;
line-height: 1.0;
}
.rendered_html h3 {
font-size: 128.6%;
margin: 1.55em 0 0 0;
font-weight: bold;
line-height: 1.0;
}
.rendered_html h4 {
font-size: 100%;
margin: 2em 0 0 0;
font-weight: bold;
line-height: 1.0;
}
.rendered_html h5 {
font-size: 100%;
margin: 2em 0 0 0;
font-weight: bold;
line-height: 1.0;
font-style: italic;
}
.rendered_html h6 {
font-size: 100%;
margin: 2em 0 0 0;
font-weight: bold;
line-height: 1.0;
font-style: italic;
}
.rendered_html h1:first-child {
margin-top: 0.538em;
}
.rendered_html h2:first-child {
margin-top: 0.636em;
}
.rendered_html h3:first-child {
margin-top: 0.777em;
}
.rendered_html h4:first-child {
margin-top: 1em;
}
.rendered_html h5:first-child {
margin-top: 1em;
}
.rendered_html h6:first-child {
margin-top: 1em;
}
.rendered_html ul:not(.list-inline),
.rendered_html ol:not(.list-inline) {
padding-left: 2em;
}
.rendered_html ul {
list-style: disc;
}
.rendered_html ul ul {
list-style: square;
margin-top: 0;
}
.rendered_html ul ul ul {
list-style: circle;
}
.rendered_html ol {
list-style: decimal;
}
.rendered_html ol ol {
list-style: upper-alpha;
margin-top: 0;
}
.rendered_html ol ol ol {
list-style: lower-alpha;
}
.rendered_html ol ol ol ol {
list-style: lower-roman;
}
.rendered_html ol ol ol ol ol {
list-style: decimal;
}
.rendered_html * + ul {
margin-top: 1em;
}
.rendered_html * + ol {
margin-top: 1em;
}
.rendered_html hr {
color: black;
background-color: black;
}
.rendered_html pre {
margin: 1em 2em;
padding: 0px;
background-color: #fff;
}
.rendered_html code {
background-color: #eff0f1;
}
.rendered_html p code {
padding: 1px 5px;
}
.rendered_html pre code {
background-color: #fff;
}
.rendered_html pre,
.rendered_html code {
border: 0;
color: #000;
font-size: 100%;
}
.rendered_html blockquote {
margin: 1em 2em;
}
.rendered_html table {
margin-left: auto;
margin-right: auto;
border: none;
border-collapse: collapse;
border-spacing: 0;
color: black;
font-size: 12px;
table-layout: fixed;
}
.rendered_html thead {
border-bottom: 1px solid black;
vertical-align: bottom;
}
.rendered_html tr,
.rendered_html th,
.rendered_html td {
text-align: right;
vertical-align: middle;
padding: 0.5em 0.5em;
line-height: normal;
white-space: normal;
max-width: none;
border: none;
}
.rendered_html th {
font-weight: bold;
}
.rendered_html tbody tr:nth-child(odd) {
background: #f5f5f5;
}
.rendered_html tbody tr:hover {
background: rgba(66, 165, 245, 0.2);
}
.rendered_html * + table {
margin-top: 1em;
}
.rendered_html p {
text-align: left;
}
.rendered_html * + p {
margin-top: 1em;
}
.rendered_html img {
display: block;
margin-left: auto;
margin-right: auto;
}
.rendered_html * + img {
margin-top: 1em;
}
.rendered_html img,
.rendered_html svg {
max-width: 100%;
height: auto;
}
.rendered_html img.unconfined,
.rendered_html svg.unconfined {
max-width: none;
}
.rendered_html .alert {
margin-bottom: initial;
}
.rendered_html * + .alert {
margin-top: 1em;
}
[dir="rtl"] .rendered_html p {
text-align: right;
}
div.text_cell {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
}
@media (max-width: 540px) {
div.text_cell > div.prompt {
display: none;
}
}
div.text_cell_render {
/*font-family: "Helvetica Neue", Arial, Helvetica, Geneva, sans-serif;*/
outline: none;
resize: none;
width: inherit;
border-style: none;
padding: 0.5em 0.5em 0.5em 0.4em;
color: #000;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
}
a.anchor-link:link {
text-decoration: none;
padding: 0px 20px;
visibility: hidden;
}
h1:hover .anchor-link,
h2:hover .anchor-link,
h3:hover .anchor-link,
h4:hover .anchor-link,
h5:hover .anchor-link,
h6:hover .anchor-link {
visibility: visible;
}
.text_cell.rendered .input_area {
display: none;
}
.text_cell.rendered .rendered_html {
overflow-x: auto;
overflow-y: hidden;
}
.text_cell.rendered .rendered_html tr,
.text_cell.rendered .rendered_html th,
.text_cell.rendered .rendered_html td {
max-width: none;
}
.text_cell.unrendered .text_cell_render {
display: none;
}
.text_cell .dropzone .input_area {
border: 2px dashed #bababa;
margin: -1px;
}
.cm-header-1,
.cm-header-2,
.cm-header-3,
.cm-header-4,
.cm-header-5,
.cm-header-6 {
font-weight: bold;
font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
}
.cm-header-1 {
font-size: 185.7%;
}
.cm-header-2 {
font-size: 157.1%;
}
.cm-header-3 {
font-size: 128.6%;
}
.cm-header-4 {
font-size: 110%;
}
.cm-header-5 {
font-size: 100%;
font-style: italic;
}
.cm-header-6 {
font-size: 100%;
font-style: italic;
}
/*!
*
* IPython notebook webapp
*
*/
@media (max-width: 767px) {
.notebook_app {
padding-left: 0px;
padding-right: 0px;
}
}
#ipython-main-app {
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
height: 100%;
}
div#notebook_panel {
margin: 0px;
padding: 0px;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
height: 100%;
}
div#notebook {
font-size: 14px;
line-height: 20px;
overflow-y: hidden;
overflow-x: auto;
width: 100%;
/* This spaces the page away from the edge of the notebook area */
padding-top: 20px;
margin: 0px;
outline: none;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
min-height: 100%;
}
@media not print {
#notebook-container {
padding: 15px;
background-color: #fff;
min-height: 0;
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
}
@media print {
#notebook-container {
width: 100%;
}
}
div.ui-widget-content {
border: 1px solid #ababab;
outline: none;
}
pre.dialog {
background-color: #f7f7f7;
border: 1px solid #ddd;
border-radius: 2px;
padding: 0.4em;
padding-left: 2em;
}
p.dialog {
padding: 0.2em;
}
/* Word-wrap output correctly. This is the CSS3 spelling, though Firefox seems
to not honor it correctly. Webkit browsers (Chrome, rekonq, Safari) do.
*/
pre,
code,
kbd,
samp {
white-space: pre-wrap;
}
#fonttest {
font-family: monospace;
}
p {
margin-bottom: 0;
}
.end_space {
min-height: 100px;
transition: height .2s ease;
}
.notebook_app > #header {
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
@media not print {
.notebook_app {
background-color: #EEE;
}
}
kbd {
border-style: solid;
border-width: 1px;
box-shadow: none;
margin: 2px;
padding-left: 2px;
padding-right: 2px;
padding-top: 1px;
padding-bottom: 1px;
}
.jupyter-keybindings {
padding: 1px;
line-height: 24px;
border-bottom: 1px solid gray;
}
.jupyter-keybindings input {
margin: 0;
padding: 0;
border: none;
}
.jupyter-keybindings i {
padding: 6px;
}
.well code {
background-color: #ffffff;
border-color: #ababab;
border-width: 1px;
border-style: solid;
padding: 2px;
padding-top: 1px;
padding-bottom: 1px;
}
/* CSS for the cell toolbar */
.celltoolbar {
border: thin solid #CFCFCF;
border-bottom: none;
background: #EEE;
border-radius: 2px 2px 0px 0px;
width: 100%;
height: 29px;
padding-right: 4px;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
/* Old browsers */
-webkit-box-pack: end;
-moz-box-pack: end;
box-pack: end;
/* Modern browsers */
justify-content: flex-end;
display: -webkit-flex;
}
@media print {
.celltoolbar {
display: none;
}
}
.ctb_hideshow {
display: none;
vertical-align: bottom;
}
/* ctb_show is added to the ctb_hideshow div to show the cell toolbar.
Cell toolbars are only shown when the ctb_global_show class is also set.
*/
.ctb_global_show .ctb_show.ctb_hideshow {
display: block;
}
.ctb_global_show .ctb_show + .input_area,
.ctb_global_show .ctb_show + div.text_cell_input,
.ctb_global_show .ctb_show ~ div.text_cell_render {
border-top-right-radius: 0px;
border-top-left-radius: 0px;
}
.ctb_global_show .ctb_show ~ div.text_cell_render {
border: 1px solid #cfcfcf;
}
.celltoolbar {
font-size: 87%;
padding-top: 3px;
}
.celltoolbar select {
display: block;
width: 100%;
height: 32px;
padding: 6px 12px;
font-size: 13px;
line-height: 1.42857143;
color: #555555;
background-color: #fff;
background-image: none;
border: 1px solid #ccc;
border-radius: 2px;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
-webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
-o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
height: 30px;
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
width: inherit;
font-size: inherit;
height: 22px;
padding: 0px;
display: inline-block;
}
.celltoolbar select:focus {
border-color: #66afe9;
outline: 0;
-webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.celltoolbar select::-moz-placeholder {
color: #999;
opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
color: #999;
}
.celltoolbar select::-webkit-input-placeholder {
color: #999;
}
.celltoolbar select::-ms-expand {
border: 0;
background-color: transparent;
}
.celltoolbar select[disabled],
.celltoolbar select[readonly],
fieldset[disabled] .celltoolbar select {
background-color: #eeeeee;
opacity: 1;
}
.celltoolbar select[disabled],
fieldset[disabled] .celltoolbar select {
cursor: not-allowed;
}
textarea.celltoolbar select {
height: auto;
}
select.celltoolbar select {
height: 30px;
line-height: 30px;
}
textarea.celltoolbar select,
select[multiple].celltoolbar select {
height: auto;
}
.celltoolbar label {
margin-left: 5px;
margin-right: 5px;
}
.tags_button_container {
width: 100%;
display: flex;
}
.tag-container {
display: flex;
flex-direction: row;
flex-grow: 1;
overflow: hidden;
position: relative;
}
.tag-container > * {
margin: 0 4px;
}
.remove-tag-btn {
margin-left: 4px;
}
.tags-input {
display: flex;
}
.cell-tag:last-child:after {
content: "";
position: absolute;
right: 0;
width: 40px;
height: 100%;
/* Fade to background color of cell toolbar */
background: linear-gradient(to right, rgba(0, 0, 0, 0), #EEE);
}
.tags-input > * {
margin-left: 4px;
}
.cell-tag,
.tags-input input,
.tags-input button {
display: block;
width: 100%;
height: 32px;
padding: 6px 12px;
font-size: 13px;
line-height: 1.42857143;
color: #555555;
background-color: #fff;
background-image: none;
border: 1px solid #ccc;
border-radius: 2px;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
-webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
-o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
height: 30px;
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
box-shadow: none;
width: inherit;
font-size: inherit;
height: 22px;
line-height: 22px;
padding: 0px 4px;
display: inline-block;
}
.cell-tag:focus,
.tags-input input:focus,
.tags-input button:focus {
border-color: #66afe9;
outline: 0;
-webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.cell-tag::-moz-placeholder,
.tags-input input::-moz-placeholder,
.tags-input button::-moz-placeholder {
color: #999;
opacity: 1;
}
.cell-tag:-ms-input-placeholder,
.tags-input input:-ms-input-placeholder,
.tags-input button:-ms-input-placeholder {
color: #999;
}
.cell-tag::-webkit-input-placeholder,
.tags-input input::-webkit-input-placeholder,
.tags-input button::-webkit-input-placeholder {
color: #999;
}
.cell-tag::-ms-expand,
.tags-input input::-ms-expand,
.tags-input button::-ms-expand {
border: 0;
background-color: transparent;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
.cell-tag[readonly],
.tags-input input[readonly],
.tags-input button[readonly],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
background-color: #eeeeee;
opacity: 1;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
cursor: not-allowed;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button {
height: auto;
}
select.cell-tag,
select.tags-input input,
select.tags-input button {
height: 30px;
line-height: 30px;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button,
select[multiple].cell-tag,
select[multiple].tags-input input,
select[multiple].tags-input button {
height: auto;
}
.cell-tag,
.tags-input button {
padding: 0px 4px;
}
.cell-tag {
background-color: #fff;
white-space: nowrap;
}
.tags-input input[type=text]:focus {
outline: none;
box-shadow: none;
border-color: #ccc;
}
.completions {
position: absolute;
z-index: 110;
overflow: hidden;
border: 1px solid #ababab;
border-radius: 2px;
-webkit-box-shadow: 0px 6px 10px -1px #adadad;
box-shadow: 0px 6px 10px -1px #adadad;
line-height: 1;
}
.completions select {
background: white;
outline: none;
border: none;
padding: 0px;
margin: 0px;
overflow: auto;
font-family: monospace;
font-size: 110%;
color: #000;
width: auto;
}
.completions select option.context {
color: #286090;
}
#kernel_logo_widget .current_kernel_logo {
display: none;
margin-top: -1px;
margin-bottom: -1px;
width: 32px;
height: 32px;
}
[dir="rtl"] #kernel_logo_widget {
float: left !important;
float: left;
}
.modal .modal-body .move-path {
display: flex;
flex-direction: row;
justify-content: space;
align-items: center;
}
.modal .modal-body .move-path .server-root {
padding-right: 20px;
}
.modal .modal-body .move-path .path-input {
flex: 1;
}
#menubar {
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
margin-top: 1px;
}
#menubar .navbar {
border-top: 1px;
border-radius: 0px 0px 2px 2px;
margin-bottom: 0px;
}
#menubar .navbar-toggle {
float: left;
padding-top: 7px;
padding-bottom: 7px;
border: none;
}
#menubar .navbar-collapse {
clear: left;
}
[dir="rtl"] #menubar .navbar-toggle {
float: right;
}
[dir="rtl"] #menubar .navbar-collapse {
clear: right;
}
[dir="rtl"] #menubar .navbar-nav {
float: right;
}
[dir="rtl"] #menubar .nav {
padding-right: 0px;
}
[dir="rtl"] #menubar .navbar-nav > li {
float: right;
}
[dir="rtl"] #menubar .navbar-right {
float: left !important;
}
[dir="rtl"] ul.dropdown-menu {
text-align: right;
left: auto;
}
[dir="rtl"] ul#new-menu.dropdown-menu {
right: auto;
left: 0;
}
.nav-wrapper {
border-bottom: 1px solid #e7e7e7;
}
i.menu-icon {
padding-top: 4px;
}
[dir="rtl"] i.menu-icon.pull-right {
float: left !important;
float: left;
}
ul#help_menu li a {
overflow: hidden;
padding-right: 2.2em;
}
ul#help_menu li a i {
margin-right: -1.2em;
}
[dir="rtl"] ul#help_menu li a {
padding-left: 2.2em;
}
[dir="rtl"] ul#help_menu li a i {
margin-right: 0;
margin-left: -1.2em;
}
[dir="rtl"] ul#help_menu li a i.pull-right {
float: left !important;
float: left;
}
.dropdown-submenu {
position: relative;
}
.dropdown-submenu > .dropdown-menu {
top: 0;
left: 100%;
margin-top: -6px;
margin-left: -1px;
}
[dir="rtl"] .dropdown-submenu > .dropdown-menu {
right: 100%;
margin-right: -1px;
}
.dropdown-submenu:hover > .dropdown-menu {
display: block;
}
.dropdown-submenu > a:after {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
display: block;
content: "\f0da";
float: right;
color: #333333;
margin-top: 2px;
margin-right: -10px;
}
.dropdown-submenu > a:after.fa-pull-left {
margin-right: .3em;
}
.dropdown-submenu > a:after.fa-pull-right {
margin-left: .3em;
}
.dropdown-submenu > a:after.pull-left {
margin-right: .3em;
}
.dropdown-submenu > a:after.pull-right {
margin-left: .3em;
}
[dir="rtl"] .dropdown-submenu > a:after {
float: left;
content: "\f0d9";
margin-right: 0;
margin-left: -10px;
}
.dropdown-submenu:hover > a:after {
color: #262626;
}
.dropdown-submenu.pull-left {
float: none;
}
.dropdown-submenu.pull-left > .dropdown-menu {
left: -100%;
margin-left: 10px;
}
#notification_area {
float: right !important;
float: right;
z-index: 10;
}
[dir="rtl"] #notification_area {
float: left !important;
float: left;
}
.indicator_area {
float: right !important;
float: right;
color: #777;
margin-left: 5px;
margin-right: 5px;
width: 11px;
z-index: 10;
text-align: center;
width: auto;
}
[dir="rtl"] .indicator_area {
float: left !important;
float: left;
}
#kernel_indicator {
float: right !important;
float: right;
color: #777;
margin-left: 5px;
margin-right: 5px;
width: 11px;
z-index: 10;
text-align: center;
width: auto;
border-left: 1px solid;
}
#kernel_indicator .kernel_indicator_name {
padding-left: 5px;
padding-right: 5px;
}
[dir="rtl"] #kernel_indicator {
float: left !important;
float: left;
border-left: 0;
border-right: 1px solid;
}
#modal_indicator {
float: right !important;
float: right;
color: #777;
margin-left: 5px;
margin-right: 5px;
width: 11px;
z-index: 10;
text-align: center;
width: auto;
}
[dir="rtl"] #modal_indicator {
float: left !important;
float: left;
}
#readonly-indicator {
float: right !important;
float: right;
color: #777;
margin-left: 5px;
margin-right: 5px;
width: 11px;
z-index: 10;
text-align: center;
width: auto;
margin-top: 2px;
margin-bottom: 0px;
margin-left: 0px;
margin-right: 0px;
display: none;
}
.modal_indicator:before {
width: 1.28571429em;
text-align: center;
}
.edit_mode .modal_indicator:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f040";
}
.edit_mode .modal_indicator:before.fa-pull-left {
margin-right: .3em;
}
.edit_mode .modal_indicator:before.fa-pull-right {
margin-left: .3em;
}
.edit_mode .modal_indicator:before.pull-left {
margin-right: .3em;
}
.edit_mode .modal_indicator:before.pull-right {
margin-left: .3em;
}
.command_mode .modal_indicator:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: ' ';
}
.command_mode .modal_indicator:before.fa-pull-left {
margin-right: .3em;
}
.command_mode .modal_indicator:before.fa-pull-right {
margin-left: .3em;
}
.command_mode .modal_indicator:before.pull-left {
margin-right: .3em;
}
.command_mode .modal_indicator:before.pull-right {
margin-left: .3em;
}
.kernel_idle_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f10c";
}
.kernel_idle_icon:before.fa-pull-left {
margin-right: .3em;
}
.kernel_idle_icon:before.fa-pull-right {
margin-left: .3em;
}
.kernel_idle_icon:before.pull-left {
margin-right: .3em;
}
.kernel_idle_icon:before.pull-right {
margin-left: .3em;
}
.kernel_busy_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f111";
}
.kernel_busy_icon:before.fa-pull-left {
margin-right: .3em;
}
.kernel_busy_icon:before.fa-pull-right {
margin-left: .3em;
}
.kernel_busy_icon:before.pull-left {
margin-right: .3em;
}
.kernel_busy_icon:before.pull-right {
margin-left: .3em;
}
.kernel_dead_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f1e2";
}
.kernel_dead_icon:before.fa-pull-left {
margin-right: .3em;
}
.kernel_dead_icon:before.fa-pull-right {
margin-left: .3em;
}
.kernel_dead_icon:before.pull-left {
margin-right: .3em;
}
.kernel_dead_icon:before.pull-right {
margin-left: .3em;
}
.kernel_disconnected_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f127";
}
.kernel_disconnected_icon:before.fa-pull-left {
margin-right: .3em;
}
.kernel_disconnected_icon:before.fa-pull-right {
margin-left: .3em;
}
.kernel_disconnected_icon:before.pull-left {
margin-right: .3em;
}
.kernel_disconnected_icon:before.pull-right {
margin-left: .3em;
}
.notification_widget {
color: #777;
z-index: 10;
background: rgba(240, 240, 240, 0.5);
margin-right: 4px;
color: #333;
background-color: #fff;
border-color: #ccc;
}
.notification_widget:focus,
.notification_widget.focus {
color: #333;
background-color: #e6e6e6;
border-color: #8c8c8c;
}
.notification_widget:hover {
color: #333;
background-color: #e6e6e6;
border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
color: #333;
background-color: #e6e6e6;
border-color: #adadad;
}
.notification_widget:active:hover,
.notification_widget.active:hover,
.open > .dropdown-toggle.notification_widget:hover,
.notification_widget:active:focus,
.notification_widget.active:focus,
.open > .dropdown-toggle.notification_widget:focus,
.notification_widget:active.focus,
.notification_widget.active.focus,
.open > .dropdown-toggle.notification_widget.focus {
color: #333;
background-color: #d4d4d4;
border-color: #8c8c8c;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
background-image: none;
}
.notification_widget.disabled:hover,
.notification_widget[disabled]:hover,
fieldset[disabled] .notification_widget:hover,
.notification_widget.disabled:focus,
.notification_widget[disabled]:focus,
fieldset[disabled] .notification_widget:focus,
.notification_widget.disabled.focus,
.notification_widget[disabled].focus,
fieldset[disabled] .notification_widget.focus {
background-color: #fff;
border-color: #ccc;
}
.notification_widget .badge {
color: #fff;
background-color: #333;
}
.notification_widget.warning {
color: #fff;
background-color: #f0ad4e;
border-color: #eea236;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
color: #fff;
background-color: #ec971f;
border-color: #985f0d;
}
.notification_widget.warning:hover {
color: #fff;
background-color: #ec971f;
border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
color: #fff;
background-color: #ec971f;
border-color: #d58512;
}
.notification_widget.warning:active:hover,
.notification_widget.warning.active:hover,
.open > .dropdown-toggle.notification_widget.warning:hover,
.notification_widget.warning:active:focus,
.notification_widget.warning.active:focus,
.open > .dropdown-toggle.notification_widget.warning:focus,
.notification_widget.warning:active.focus,
.notification_widget.warning.active.focus,
.open > .dropdown-toggle.notification_widget.warning.focus {
color: #fff;
background-color: #d58512;
border-color: #985f0d;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
background-image: none;
}
.notification_widget.warning.disabled:hover,
.notification_widget.warning[disabled]:hover,
fieldset[disabled] .notification_widget.warning:hover,
.notification_widget.warning.disabled:focus,
.notification_widget.warning[disabled]:focus,
fieldset[disabled] .notification_widget.warning:focus,
.notification_widget.warning.disabled.focus,
.notification_widget.warning[disabled].focus,
fieldset[disabled] .notification_widget.warning.focus {
background-color: #f0ad4e;
border-color: #eea236;
}
.notification_widget.warning .badge {
color: #f0ad4e;
background-color: #fff;
}
.notification_widget.success {
color: #fff;
background-color: #5cb85c;
border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
color: #fff;
background-color: #449d44;
border-color: #255625;
}
.notification_widget.success:hover {
color: #fff;
background-color: #449d44;
border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
color: #fff;
background-color: #449d44;
border-color: #398439;
}
.notification_widget.success:active:hover,
.notification_widget.success.active:hover,
.open > .dropdown-toggle.notification_widget.success:hover,
.notification_widget.success:active:focus,
.notification_widget.success.active:focus,
.open > .dropdown-toggle.notification_widget.success:focus,
.notification_widget.success:active.focus,
.notification_widget.success.active.focus,
.open > .dropdown-toggle.notification_widget.success.focus {
color: #fff;
background-color: #398439;
border-color: #255625;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
background-image: none;
}
.notification_widget.success.disabled:hover,
.notification_widget.success[disabled]:hover,
fieldset[disabled] .notification_widget.success:hover,
.notification_widget.success.disabled:focus,
.notification_widget.success[disabled]:focus,
fieldset[disabled] .notification_widget.success:focus,
.notification_widget.success.disabled.focus,
.notification_widget.success[disabled].focus,
fieldset[disabled] .notification_widget.success.focus {
background-color: #5cb85c;
border-color: #4cae4c;
}
.notification_widget.success .badge {
color: #5cb85c;
background-color: #fff;
}
.notification_widget.info {
color: #fff;
background-color: #5bc0de;
border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
color: #fff;
background-color: #31b0d5;
border-color: #1b6d85;
}
.notification_widget.info:hover {
color: #fff;
background-color: #31b0d5;
border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
color: #fff;
background-color: #31b0d5;
border-color: #269abc;
}
.notification_widget.info:active:hover,
.notification_widget.info.active:hover,
.open > .dropdown-toggle.notification_widget.info:hover,
.notification_widget.info:active:focus,
.notification_widget.info.active:focus,
.open > .dropdown-toggle.notification_widget.info:focus,
.notification_widget.info:active.focus,
.notification_widget.info.active.focus,
.open > .dropdown-toggle.notification_widget.info.focus {
color: #fff;
background-color: #269abc;
border-color: #1b6d85;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
background-image: none;
}
.notification_widget.info.disabled:hover,
.notification_widget.info[disabled]:hover,
fieldset[disabled] .notification_widget.info:hover,
.notification_widget.info.disabled:focus,
.notification_widget.info[disabled]:focus,
fieldset[disabled] .notification_widget.info:focus,
.notification_widget.info.disabled.focus,
.notification_widget.info[disabled].focus,
fieldset[disabled] .notification_widget.info.focus {
background-color: #5bc0de;
border-color: #46b8da;
}
.notification_widget.info .badge {
color: #5bc0de;
background-color: #fff;
}
.notification_widget.danger {
color: #fff;
background-color: #d9534f;
border-color: #d43f3a;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
color: #fff;
background-color: #c9302c;
border-color: #761c19;
}
.notification_widget.danger:hover {
color: #fff;
background-color: #c9302c;
border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
color: #fff;
background-color: #c9302c;
border-color: #ac2925;
}
.notification_widget.danger:active:hover,
.notification_widget.danger.active:hover,
.open > .dropdown-toggle.notification_widget.danger:hover,
.notification_widget.danger:active:focus,
.notification_widget.danger.active:focus,
.open > .dropdown-toggle.notification_widget.danger:focus,
.notification_widget.danger:active.focus,
.notification_widget.danger.active.focus,
.open > .dropdown-toggle.notification_widget.danger.focus {
color: #fff;
background-color: #ac2925;
border-color: #761c19;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
background-image: none;
}
.notification_widget.danger.disabled:hover,
.notification_widget.danger[disabled]:hover,
fieldset[disabled] .notification_widget.danger:hover,
.notification_widget.danger.disabled:focus,
.notification_widget.danger[disabled]:focus,
fieldset[disabled] .notification_widget.danger:focus,
.notification_widget.danger.disabled.focus,
.notification_widget.danger[disabled].focus,
fieldset[disabled] .notification_widget.danger.focus {
background-color: #d9534f;
border-color: #d43f3a;
}
.notification_widget.danger .badge {
color: #d9534f;
background-color: #fff;
}
div#pager {
background-color: #fff;
font-size: 14px;
line-height: 20px;
overflow: hidden;
display: none;
position: fixed;
bottom: 0px;
width: 100%;
max-height: 50%;
padding-top: 8px;
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
/* Display over codemirror */
z-index: 100;
/* Hack which prevents jquery ui resizable from changing top. */
top: auto !important;
}
div#pager pre {
line-height: 1.21429em;
color: #000;
background-color: #f7f7f7;
padding: 0.4em;
}
div#pager #pager-button-area {
position: absolute;
top: 8px;
right: 20px;
}
div#pager #pager-contents {
position: relative;
overflow: auto;
width: 100%;
height: 100%;
}
div#pager #pager-contents #pager-container {
position: relative;
padding: 15px 0px;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
}
div#pager .ui-resizable-handle {
top: 0px;
height: 8px;
background: #f7f7f7;
border-top: 1px solid #cfcfcf;
border-bottom: 1px solid #cfcfcf;
/* This injects handle bars (a short, wide = symbol) for
the resize handle. */
}
div#pager .ui-resizable-handle::after {
content: '';
top: 2px;
left: 50%;
height: 3px;
width: 30px;
margin-left: -15px;
position: absolute;
border-top: 1px solid #cfcfcf;
}
.quickhelp {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
line-height: 1.8em;
}
.shortcut_key {
display: inline-block;
width: 21ex;
text-align: right;
font-family: monospace;
}
.shortcut_descr {
display: inline-block;
/* Old browsers */
-webkit-box-flex: 1;
-moz-box-flex: 1;
box-flex: 1;
/* Modern browsers */
flex: 1;
}
span.save_widget {
height: 30px;
margin-top: 4px;
display: flex;
justify-content: flex-start;
align-items: baseline;
width: 50%;
flex: 1;
}
span.save_widget span.filename {
height: 100%;
line-height: 1em;
margin-left: 16px;
border: none;
font-size: 146.5%;
text-overflow: ellipsis;
overflow: hidden;
white-space: nowrap;
border-radius: 2px;
}
span.save_widget span.filename:hover {
background-color: #e6e6e6;
}
[dir="rtl"] span.save_widget.pull-left {
float: right !important;
float: right;
}
[dir="rtl"] span.save_widget span.filename {
margin-left: 0;
margin-right: 16px;
}
span.checkpoint_status,
span.autosave_status {
font-size: small;
white-space: nowrap;
padding: 0 5px;
}
@media (max-width: 767px) {
span.save_widget {
font-size: small;
padding: 0 0 0 5px;
}
span.checkpoint_status,
span.autosave_status {
display: none;
}
}
@media (min-width: 768px) and (max-width: 991px) {
span.checkpoint_status {
display: none;
}
span.autosave_status {
font-size: x-small;
}
}
.toolbar {
padding: 0px;
margin-left: -5px;
margin-top: 2px;
margin-bottom: 5px;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
}
.toolbar select,
.toolbar label {
width: auto;
vertical-align: middle;
margin-right: 2px;
margin-bottom: 0px;
display: inline;
font-size: 92%;
margin-left: 0.3em;
margin-right: 0.3em;
padding: 0px;
padding-top: 3px;
}
.toolbar .btn {
padding: 2px 8px;
}
.toolbar .btn-group {
margin-top: 0px;
margin-left: 5px;
}
.toolbar-btn-label {
margin-left: 6px;
}
#maintoolbar {
margin-bottom: -3px;
margin-top: -8px;
border: 0px;
min-height: 27px;
margin-left: 0px;
padding-top: 11px;
padding-bottom: 3px;
}
#maintoolbar .navbar-text {
float: none;
vertical-align: middle;
text-align: right;
margin-left: 5px;
margin-right: 0px;
margin-top: 0px;
}
.select-xs {
height: 24px;
}
[dir="rtl"] .btn-group > .btn,
.btn-group-vertical > .btn {
float: right;
}
.pulse,
.dropdown-menu > li > a.pulse,
li.pulse > a.dropdown-toggle,
li.pulse.open > a.dropdown-toggle {
background-color: #F37626;
color: white;
}
/**
* Primary styles
*
* Author: Jupyter Development Team
*/
/** WARNING IF YOU ARE EDITTING THIS FILE, if this is a .css file, It has a lot
* of chance of beeing generated from the ../less/[samename].less file, you can
* try to get back the less file by reverting somme commit in history
**/
/*
* We'll try to get something pretty, so we
* have some strange css to have the scroll bar on
* the left with fix button on the top right of the tooltip
*/
@-moz-keyframes fadeOut {
from {
opacity: 1;
}
to {
opacity: 0;
}
}
@-webkit-keyframes fadeOut {
from {
opacity: 1;
}
to {
opacity: 0;
}
}
@-moz-keyframes fadeIn {
from {
opacity: 0;
}
to {
opacity: 1;
}
}
@-webkit-keyframes fadeIn {
from {
opacity: 0;
}
to {
opacity: 1;
}
}
/*properties of tooltip after "expand"*/
.bigtooltip {
overflow: auto;
height: 200px;
-webkit-transition-property: height;
-webkit-transition-duration: 500ms;
-moz-transition-property: height;
-moz-transition-duration: 500ms;
transition-property: height;
transition-duration: 500ms;
}
/*properties of tooltip before "expand"*/
.smalltooltip {
-webkit-transition-property: height;
-webkit-transition-duration: 500ms;
-moz-transition-property: height;
-moz-transition-duration: 500ms;
transition-property: height;
transition-duration: 500ms;
text-overflow: ellipsis;
overflow: hidden;
height: 80px;
}
.tooltipbuttons {
position: absolute;
padding-right: 15px;
top: 0px;
right: 0px;
}
.tooltiptext {
/*avoid the button to overlap on some docstring*/
padding-right: 30px;
}
.ipython_tooltip {
max-width: 700px;
/*fade-in animation when inserted*/
-webkit-animation: fadeOut 400ms;
-moz-animation: fadeOut 400ms;
animation: fadeOut 400ms;
-webkit-animation: fadeIn 400ms;
-moz-animation: fadeIn 400ms;
animation: fadeIn 400ms;
vertical-align: middle;
background-color: #f7f7f7;
overflow: visible;
border: #ababab 1px solid;
outline: none;
padding: 3px;
margin: 0px;
padding-left: 7px;
font-family: monospace;
min-height: 50px;
-moz-box-shadow: 0px 6px 10px -1px #adadad;
-webkit-box-shadow: 0px 6px 10px -1px #adadad;
box-shadow: 0px 6px 10px -1px #adadad;
border-radius: 2px;
position: absolute;
z-index: 1000;
}
.ipython_tooltip a {
float: right;
}
.ipython_tooltip .tooltiptext pre {
border: 0;
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<h1 id="Cerrect"><del>Cerrect</del><a class="anchor-link" href="#Cerrect">&#182;</a></h1><h1 id="Corroct"><del>Corroct</del><a class="anchor-link" href="#Corroct">&#182;</a></h1><h1 id="Correct-Programming">Correct Programming<a class="anchor-link" href="#Correct-Programming">&#182;</a></h1><p>Symbolic Logic in the Laws of Form ○ Python Expressions to Represent Forms ○ Reify Forms in an Environment ○ Building Circuits ○ Simplifying Expressions ○ SAT Solver ○ A Model of Computation</p>
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<h1 id="Introduction">Introduction<a class="anchor-link" href="#Introduction">&#182;</a></h1><p>In 1969 George Spencer-Brown (GSB) published <a href="https://en.wikipedia.org/wiki/Laws_of_Form">"Laws of Form"</a> which presented a logical system based on a single action, a distinction, that is both an operation and a value. This notebook describes a Python implementation that mimics the Laws of Form notation and uses it to develop a model of computer circuits.</p>
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<h2 id="The-Laws-of-Form">The Laws of Form<a class="anchor-link" href="#The-Laws-of-Form">&#182;</a></h2><p>See <a href="http://www.markability.net/">The Markable Mark</a>.</p>
<h4 id="Arithmetic">Arithmetic<a class="anchor-link" href="#Arithmetic">&#182;</a></h4>
<pre><code>(()) =
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<h4 id="Calculus">Calculus<a class="anchor-link" href="#Calculus">&#182;</a></h4>
<pre><code>A((B)) = AB
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<p>I call these three laws the <strong>Bricken Basis</strong> after <a href="http://wbricken.com/">William Bricken</a> who figured out that the third law is complete with the other two. GSB had the first two laws and "Each Way" as the basis. (TODO: Find and include the references for all this.)</p>
<p>(If anything here is unclear read <a href="http://www.markability.net/">The Markable Mark</a>. George Burnett-Stuart has done a fantastic job there explaining the <em>Laws of Form</em>.)</p>
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<h2 id="Python-Sets-and-Strings-as-Laws-of-Form-Calculus-Expressions">Python Sets and Strings as Laws of Form Calculus Expressions<a class="anchor-link" href="#Python-Sets-and-Strings-as-Laws-of-Form-Calculus-Expressions">&#182;</a></h2><p>We can use data structures made solely out of Python <code>frozenset</code> and string objects to represent the forms of the Laws of Form notation. I'm going to use the terms "expression" and "form" interchangably in this document.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">class</span> <span class="nc">Form</span><span class="p">(</span><span class="nb">frozenset</span><span class="p">):</span>
<span class="k">def</span> <span class="fm">__str__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="c1"># Because frozenset is immutable, and the contents are all string or frozenset,</span>
<span class="c1"># we can cache the string repr of a form.</span>
<span class="k">try</span><span class="p">:</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_str</span>
<span class="k">except</span> <span class="ne">AttributeError</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_str</span> <span class="o">=</span> <span class="s1">&#39;(</span><span class="si">%s</span><span class="s1">)&#39;</span> <span class="o">%</span> <span class="s1">&#39; &#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="nb">sorted</span><span class="p">(</span><span class="nb">map</span><span class="p">(</span><span class="nb">str</span><span class="p">,</span> <span class="bp">self</span><span class="p">)))</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_str</span>
<span class="fm">__repr__</span> <span class="o">=</span> <span class="fm">__str__</span>
<span class="k">def</span> <span class="nf">F</span><span class="p">(</span><span class="o">*</span><span class="n">terms</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Create a Form from terms.&#39;&#39;&#39;</span>
<span class="k">return</span> <span class="n">Form</span><span class="p">([</span>
<span class="n">term</span> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">term</span><span class="p">,</span> <span class="p">(</span><span class="n">basestring</span><span class="p">,</span> <span class="n">Form</span><span class="p">))</span> <span class="k">else</span> <span class="n">F</span><span class="p">(</span><span class="o">*</span><span class="n">term</span><span class="p">)</span>
<span class="k">for</span> <span class="n">term</span> <span class="ow">in</span> <span class="n">terms</span>
<span class="p">])</span>
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<p>Define a few variable names.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span> <span class="o">=</span> <span class="s1">&#39;abc&#39;</span>
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<p>Some examples of forms.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">A</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span>
<span class="n">A</span>
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<pre>(a b c)</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">B</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)))</span>
<span class="n">B</span>
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<pre>(((c) b) a)</pre>
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<p>Forms like <code>a b c</code> must be enclosed in a pair of nested containers like so <code>(( a b c ))</code>, this lets us treat them as a single (Python) object without inverting the logical value of the form.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">C</span> <span class="o">=</span> <span class="n">F</span><span class="p">((</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">))</span>
<span class="n">C</span>
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<pre>((a b c))</pre>
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<p>Duplicate terms in a form are automatically removed by <code>frozenset</code>.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,))</span>
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<pre>((b) a)</pre>
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<p>Order is irrelevant, again due to <code>frozenset</code>.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">F</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span> <span class="o">==</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span>
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<pre>True</pre>
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<p>It's prefectly okay to create forms out of other forms (not just strings.)</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">F</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="p">(</span><span class="n">B</span><span class="p">,</span> <span class="p">(</span><span class="n">C</span><span class="p">,)),</span> <span class="n">a</span><span class="p">)</span>
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<pre>(((((a b c))) (((c) b) a)) (a b c) a)</pre>
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<h2 id="Mark-and-Void.">Mark and Void.<a class="anchor-link" href="#Mark-and-Void.">&#182;</a></h2>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">Mark</span> <span class="o">=</span> <span class="n">F</span><span class="p">()</span>
<span class="n">Mark</span>
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<pre>()</pre>
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<p>There is no way to represent Void directly in a programming language so we have to use the simplest Void-valued form instead.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">Void</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">Mark</span><span class="p">)</span>
<span class="n">Void</span>
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<pre>(())</pre>
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<h2 id="Environments">Environments<a class="anchor-link" href="#Environments">&#182;</a></h2><p>We can use a Python <code>dict</code> as a context or environment that supplies values (Mark or Void) for the names in a form.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">env</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">(</span><span class="n">a</span><span class="o">=</span><span class="n">Mark</span><span class="p">,</span> <span class="n">b</span><span class="o">=</span><span class="n">Mark</span><span class="p">,</span> <span class="n">c</span><span class="o">=</span><span class="n">Mark</span><span class="p">)</span>
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<h2 id="The-reify(form,-environment)-Function">The <code>reify(form, environment)</code> Function<a class="anchor-link" href="#The-reify(form,-environment)-Function">&#182;</a></h2><p>Given forms with string variable names in them we want to be able to substitute values from an environment. If these values are Mark or Void the result will be a pure arithmentic form.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">reify</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">environment</span><span class="p">):</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">basestring</span><span class="p">):</span>
<span class="k">return</span> <span class="n">environment</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">form</span><span class="p">)</span>
<span class="k">return</span> <span class="n">Form</span><span class="p">(</span><span class="n">reify</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">environment</span><span class="p">)</span> <span class="k">for</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">form</span><span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">form</span> <span class="ow">in</span> <span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">B</span><span class="p">,</span> <span class="n">C</span><span class="p">):</span>
<span class="nb">print</span> <span class="n">form</span><span class="p">,</span> <span class="sa">u</span><span class="s1">&#39;⟶&#39;</span><span class="p">,</span> <span class="n">reify</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">env</span><span class="p">)</span>
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<pre>(a b c) ⟶ (())
(((c) b) a) ⟶ (((()) ()) ())
((a b c)) ⟶ ((()))
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<h2 id="The-void(form)-Function">The <code>void(form)</code> Function<a class="anchor-link" href="#The-void(form)-Function">&#182;</a></h2><p>Once the forms have been rendered to pure arithmetic we can use the <code>void()</code> function to find the value of each expression.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">void</span><span class="p">(</span><span class="n">form</span><span class="p">):</span>
<span class="k">return</span> <span class="nb">any</span><span class="p">(</span><span class="ow">not</span> <span class="n">void</span><span class="p">(</span><span class="n">i</span><span class="p">)</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">form</span><span class="p">)</span>
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<p>The <code>void()</code> function returns a Boolean value (Python <code>True</code> or <code>False</code>), for convenience let's write a function that returns the Mark or Void value of a form.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">value_of</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">m</span><span class="o">=</span><span class="n">Mark</span><span class="p">,</span> <span class="n">v</span><span class="o">=</span><span class="n">Void</span><span class="p">):</span>
<span class="k">return</span> <span class="p">(</span><span class="n">m</span><span class="p">,</span> <span class="n">v</span><span class="p">)[</span><span class="n">void</span><span class="p">(</span><span class="n">form</span><span class="p">)]</span>
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<p>Now we can use the <code>void()</code> function (by way of <code>value_of()</code>) to calculate the base value of each expression structure.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">form</span> <span class="ow">in</span> <span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">B</span><span class="p">,</span> <span class="n">C</span><span class="p">):</span>
<span class="n">arith</span> <span class="o">=</span> <span class="n">reify</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">env</span><span class="p">)</span>
<span class="nb">print</span> <span class="n">form</span><span class="p">,</span> <span class="sa">u</span><span class="s1">&#39;⟶&#39;</span><span class="p">,</span> <span class="n">arith</span><span class="p">,</span> <span class="sa">u</span><span class="s1">&#39;⟶&#39;</span><span class="p">,</span> <span class="n">value_of</span><span class="p">(</span><span class="n">arith</span><span class="p">)</span>
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<pre>(a b c) ⟶ (()) ⟶ (())
(((c) b) a) ⟶ (((()) ()) ()) ⟶ (())
((a b c)) ⟶ ((())) ⟶ ()
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<h2 id="All-Possible-Environments">All Possible Environments<a class="anchor-link" href="#All-Possible-Environments">&#182;</a></h2><p>For $n$ variables there are $2^n$ possible assignments of the two values of Mark and Void. If we generate environments that each contain one of the possible assignments of names to the base value we can evaluate an expression containing those names and compute its value.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="kn">from</span> <span class="nn">itertools</span> <span class="kn">import</span> <span class="n">product</span><span class="p">,</span> <span class="n">izip</span>
<span class="n">BASE</span> <span class="o">=</span> <span class="n">Void</span><span class="p">,</span> <span class="n">Mark</span>
<span class="k">def</span> <span class="nf">environments_of_variables</span><span class="p">(</span><span class="o">*</span><span class="n">variables</span><span class="p">):</span>
<span class="n">universe</span> <span class="o">=</span> <span class="p">[</span><span class="n">BASE</span><span class="p">]</span> <span class="o">*</span> <span class="nb">len</span><span class="p">(</span><span class="n">variables</span><span class="p">)</span>
<span class="k">for</span> <span class="n">values</span> <span class="ow">in</span> <span class="n">product</span><span class="p">(</span><span class="o">*</span><span class="n">universe</span><span class="p">):</span>
<span class="k">yield</span> <span class="nb">dict</span><span class="p">(</span><span class="n">izip</span><span class="p">(</span><span class="n">variables</span><span class="p">,</span> <span class="n">values</span><span class="p">))</span>
<span class="n">envs</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="n">environments_of_variables</span><span class="p">(</span><span class="o">*</span><span class="s1">&#39;abc&#39;</span><span class="p">))</span>
<span class="n">envs</span>
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<pre>[{&#39;a&#39;: (()), &#39;b&#39;: (()), &#39;c&#39;: (())},
{&#39;a&#39;: (()), &#39;b&#39;: (()), &#39;c&#39;: ()},
{&#39;a&#39;: (()), &#39;b&#39;: (), &#39;c&#39;: (())},
{&#39;a&#39;: (()), &#39;b&#39;: (), &#39;c&#39;: ()},
{&#39;a&#39;: (), &#39;b&#39;: (()), &#39;c&#39;: (())},
{&#39;a&#39;: (), &#39;b&#39;: (()), &#39;c&#39;: ()},
{&#39;a&#39;: (), &#39;b&#39;: (), &#39;c&#39;: (())},
{&#39;a&#39;: (), &#39;b&#39;: (), &#39;c&#39;: ()}]</pre>
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<p>This is a bit hard to read, so let's define a helper function to convert an environment to a string format.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">format_env</span><span class="p">(</span><span class="n">env</span><span class="p">,</span> <span class="n">m</span><span class="o">=</span><span class="s1">&#39;()&#39;</span><span class="p">,</span> <span class="n">v</span><span class="o">=</span><span class="s1">&#39; &#39;</span><span class="p">):</span>
<span class="k">return</span> <span class="s1">&#39; &#39;</span><span class="o">.</span><span class="n">join</span><span class="p">((</span><span class="n">v</span><span class="p">,</span> <span class="n">m</span><span class="p">)[</span><span class="ow">not</span> <span class="n">env</span><span class="p">[</span><span class="n">k</span><span class="p">]]</span> <span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">env</span><span class="p">))</span>
<span class="c1"># Note that Mark is an empty frozenset so in a Boolean context in Python it is False,</span>
<span class="c1"># likewise Void is a set with one member, so Python considers it True in a Boolean context.</span>
<span class="c1"># The `not` in the expression is just to force such a Boolean context, and we compensate</span>
<span class="c1"># by putting `v` in the zero-is-False position in the indexed tuple.</span>
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<p>Now we can print out the environments in a table. Notice that it looks just like a list of the eight three-bit binary numbers.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">print</span> <span class="s1">&#39;i a b c i in Binary&#39;</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">env</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">envs</span><span class="p">):</span>
<span class="nb">print</span> <span class="n">i</span><span class="p">,</span> <span class="n">format_env</span><span class="p">(</span><span class="n">env</span><span class="p">,</span> <span class="n">v</span><span class="o">=</span><span class="s1">&#39;--&#39;</span><span class="p">),</span> <span class="s1">&#39;</span><span class="si">%3s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="p">(</span><span class="nb">bin</span><span class="p">(</span><span class="n">i</span><span class="p">)[</span><span class="mi">2</span><span class="p">:],)</span>
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<pre>i a b c i in Binary
0 -- -- -- 0
1 -- -- () 1
2 -- () -- 10
3 -- () () 11
4 () -- -- 100
5 () -- () 101
6 () () -- 110
7 () () () 111
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<h2 id="Reify-the-Forms-with-Each-Meaning">Reify the Forms with Each Meaning<a class="anchor-link" href="#Reify-the-Forms-with-Each-Meaning">&#182;</a></h2><p>Let's pick one of the expressions and iterate through the environments showing the result of reifying that expression in that environment.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">print</span> <span class="n">B</span>
<span class="nb">print</span> <span class="s1">&#39;-----------&#39;</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">env</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">envs</span><span class="p">):</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">reify</span><span class="p">(</span><span class="n">B</span><span class="p">,</span> <span class="n">env</span><span class="p">)</span>
<span class="nb">print</span> <span class="n">i</span><span class="p">,</span> <span class="n">format_env</span><span class="p">(</span><span class="n">env</span><span class="p">,</span> <span class="n">v</span><span class="o">=</span><span class="s1">&#39;--&#39;</span><span class="p">),</span> <span class="sa">u</span><span class="s1">&#39;⟶&#39;</span><span class="p">,</span> <span class="n">e</span><span class="p">,</span> <span class="sa">u</span><span class="s1">&#39;⟶&#39;</span><span class="p">,</span> <span class="n">value_of</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">m</span><span class="o">=</span><span class="s1">&#39;()&#39;</span><span class="p">,</span> <span class="n">v</span><span class="o">=</span><span class="s1">&#39;&#39;</span><span class="p">)</span>
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<pre>(((c) b) a)
-----------
0 -- -- -- ⟶ ((((())) (())) (())) ⟶ ()
1 -- -- () ⟶ (((())) (())) ⟶
2 -- () -- ⟶ ((((())) ()) (())) ⟶ ()
3 -- () () ⟶ (((()) ()) (())) ⟶ ()
4 () -- -- ⟶ ((((())) (())) ()) ⟶
5 () -- () ⟶ (((())) ()) ⟶
6 () () -- ⟶ ((((())) ()) ()) ⟶
7 () () () ⟶ (((()) ()) ()) ⟶
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<h2 id="Truth-Table">Truth Table<a class="anchor-link" href="#Truth-Table">&#182;</a></h2><p>Let's render the above as a <a href="https://en.wikipedia.org/wiki/Truth_table">Truth Table</a>.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">truth_table_3</span><span class="p">(</span><span class="n">expression</span><span class="p">):</span>
<span class="nb">print</span> <span class="n">expression</span>
<span class="nb">print</span> <span class="s1">&#39; a b c | Value&#39;</span>
<span class="nb">print</span> <span class="s1">&#39;---------+------&#39;</span>
<span class="k">for</span> <span class="n">E</span> <span class="ow">in</span> <span class="n">envs</span><span class="p">:</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">reify</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">E</span><span class="p">)</span>
<span class="nb">print</span> <span class="n">format_env</span><span class="p">(</span><span class="n">E</span><span class="p">),</span> <span class="s1">&#39;|&#39;</span><span class="p">,</span> <span class="n">value_of</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">m</span><span class="o">=</span><span class="s1">&#39;()&#39;</span><span class="p">,</span> <span class="n">v</span><span class="o">=</span><span class="s1">&#39;&#39;</span><span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">truth_table_3</span><span class="p">(</span><span class="n">B</span><span class="p">)</span>
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<pre>(((c) b) a)
a b c | Value
---------+------
| ()
() |
() | ()
() () | ()
() |
() () |
() () |
() () () |
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<p>This makes it clear that <em>each expression in Laws of Form calculus is describing a digital Boolean circuit</em>. The names are its inputs and its Void/Mark value is its output. Each boundary is a <a href="https://en.wikipedia.org/wiki/Logical_NOR">multi-input <strong>NOR</strong> gate</a>, known as the Peirce arrow or Quine dagger (See <a href="https://en.wikipedia.org/wiki/Sheffer_stroke">Sheffer stroke</a> and <a href="https://en.wikipedia.org/wiki/NOR_gate">NOR gate</a>.) Instead of two Boolean values there is only one value and non-existance.</p>
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<h1 id="Let's-build-Circuits">Let's build Circuits<a class="anchor-link" href="#Let's-build-Circuits">&#182;</a></h1><p>In order to work with expressions as digital circuits, let's define some helper functions that will create logic circuits out of simpler forms. The names of the functions below reflect the choice of Mark as Boolean <code>True</code> but this is <a href="#Appendix:-Duals">just a convention</a>.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">nor</span> <span class="o">=</span> <span class="k">lambda</span> <span class="o">*</span><span class="n">bits</span><span class="p">:</span> <span class="n">F</span><span class="p">(</span><span class="o">*</span><span class="n">bits</span><span class="p">)</span>
<span class="n">or_</span> <span class="o">=</span> <span class="k">lambda</span> <span class="o">*</span><span class="n">bits</span><span class="p">:</span> <span class="n">F</span><span class="p">(</span><span class="n">bits</span><span class="p">)</span>
<span class="n">and_</span> <span class="o">=</span> <span class="k">lambda</span> <span class="o">*</span><span class="n">bits</span><span class="p">:</span> <span class="n">Form</span><span class="p">(</span><span class="n">F</span><span class="p">(</span><span class="n">bit</span><span class="p">)</span> <span class="k">for</span> <span class="n">bit</span> <span class="ow">in</span> <span class="n">bits</span><span class="p">)</span>
<span class="n">nand</span> <span class="o">=</span> <span class="k">lambda</span> <span class="o">*</span><span class="n">bits</span><span class="p">:</span> <span class="n">nor</span><span class="p">(</span><span class="n">and_</span><span class="p">(</span><span class="o">*</span><span class="n">bits</span><span class="p">))</span>
<span class="n">nxor</span> <span class="o">=</span> <span class="n">eqiv</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">:</span> <span class="n">F</span><span class="p">((</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,)),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="n">b</span><span class="p">))</span>
<span class="n">xor</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">:</span> <span class="n">F</span><span class="p">(</span><span class="n">nxor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">))</span>
<span class="c1"># To build logical expressions with Void as Boolean True use these functions.</span>
<span class="n">anti_nor</span> <span class="o">=</span> <span class="n">nand</span>
<span class="n">anti_or</span> <span class="o">=</span> <span class="n">and_</span>
<span class="n">anti_and</span> <span class="o">=</span> <span class="n">or_</span>
<span class="n">anti_nand</span> <span class="o">=</span> <span class="n">nor</span>
<span class="n">anti_eqiv</span> <span class="o">=</span> <span class="n">xor</span>
<span class="n">anti_xor</span> <span class="o">=</span> <span class="n">eqiv</span>
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<p>Some examples:</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span> <span class="o">=</span> <span class="s1">&#39;abc&#39;</span>
<span class="n">some_expressions</span> <span class="o">=</span> <span class="p">(</span>
<span class="n">nor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">),</span>
<span class="n">or_</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">),</span>
<span class="n">and_</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">),</span>
<span class="n">nand</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">),</span>
<span class="n">xor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">),</span>
<span class="n">eqiv</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">),</span>
<span class="n">xor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">xor</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">)),</span>
<span class="p">)</span>
<span class="k">for</span> <span class="n">expression</span> <span class="ow">in</span> <span class="n">some_expressions</span><span class="p">:</span>
<span class="nb">print</span> <span class="n">expression</span>
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<pre>(a b c)
((a b c))
((a) (b) (c))
(((a) (b) (c)))
((((a) b) ((b) a)))
(((a) b) ((b) a))
((((((((b) c) ((c) b)))) a) (((((b) c) ((c) b))) (a))))
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<p>And let's rewrite the <code>truth_table_3()</code> function to make it work for any number of variables.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">yield_variables_of</span><span class="p">(</span><span class="n">expression</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Yield all string members of an expression.&#39;&#39;&#39;</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">basestring</span><span class="p">):</span>
<span class="k">yield</span> <span class="n">expression</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">for</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">expression</span><span class="p">:</span>
<span class="k">for</span> <span class="n">leaf</span> <span class="ow">in</span> <span class="n">yield_variables_of</span><span class="p">(</span><span class="n">inner</span><span class="p">):</span>
<span class="k">yield</span> <span class="n">leaf</span>
<span class="k">def</span> <span class="nf">collect_names</span><span class="p">(</span><span class="n">expression</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Return a set of the variables mentioned in an expression.&#39;&#39;&#39;</span>
<span class="k">return</span> <span class="nb">set</span><span class="p">(</span><span class="n">yield_variables_of</span><span class="p">(</span><span class="n">expression</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">truth_table</span><span class="p">(</span><span class="n">expression</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Print a truth table for an expression.&#39;&#39;&#39;</span>
<span class="n">names</span> <span class="o">=</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">collect_names</span><span class="p">(</span><span class="n">expression</span><span class="p">))</span>
<span class="n">header</span> <span class="o">=</span> <span class="s1">&#39; &#39;</span> <span class="o">+</span> <span class="s1">&#39; &#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">names</span><span class="p">)</span>
<span class="n">n</span> <span class="o">=</span> <span class="mi">1</span> <span class="o">+</span> <span class="nb">len</span><span class="p">(</span><span class="n">header</span><span class="p">)</span>
<span class="n">header</span> <span class="o">+=</span> <span class="s1">&#39; | Value&#39;</span>
<span class="nb">print</span> <span class="n">expression</span>
<span class="nb">print</span> <span class="n">header</span>
<span class="nb">print</span> <span class="s1">&#39;-&#39;</span> <span class="o">*</span> <span class="n">n</span> <span class="o">+</span> <span class="s1">&#39;+------&#39;</span>
<span class="k">for</span> <span class="n">env</span> <span class="ow">in</span> <span class="n">environments_of_variables</span><span class="p">(</span><span class="o">*</span><span class="n">names</span><span class="p">):</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">reify</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">env</span><span class="p">)</span>
<span class="nb">print</span> <span class="n">format_env</span><span class="p">(</span><span class="n">env</span><span class="p">),</span> <span class="s1">&#39;|&#39;</span><span class="p">,</span> <span class="p">[</span><span class="s1">&#39;()&#39;</span><span class="p">,</span> <span class="s1">&#39;&#39;</span><span class="p">][</span><span class="n">void</span><span class="p">(</span><span class="n">e</span><span class="p">)]</span>
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<p>We can use this <code>truth_table()</code> function to examine the expressions we created above.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">truth_table</span><span class="p">(</span><span class="n">nor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">))</span>
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<pre>(a b c)
a b c | Value
---------+------
| ()
() |
() |
() () |
() |
() () |
() () |
() () () |
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">truth_table</span><span class="p">(</span><span class="n">or_</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">))</span>
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<pre>((a b c))
a b c | Value
---------+------
|
() | ()
() | ()
() () | ()
() | ()
() () | ()
() () | ()
() () () | ()
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">truth_table</span><span class="p">(</span><span class="n">and_</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">))</span>
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<pre>((a) (b) (c))
a b c | Value
---------+------
|
() |
() |
() () |
() |
() () |
() () |
() () () | ()
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">truth_table</span><span class="p">(</span><span class="n">xor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">))</span>
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<pre>((((a) b) ((b) a)))
a b | Value
------+------
|
() | ()
() | ()
() () |
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">truth_table</span><span class="p">(</span><span class="n">eqiv</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">))</span>
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<pre>(((a) b) ((b) a))
a b | Value
------+------
| ()
() |
() |
() () | ()
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<pre>((((((((b) c) ((c) b)))) a) (((((b) c) ((c) b))) (a))))
a b c | Value
---------+------
|
() | ()
() | ()
() () |
() | ()
() () |
() () |
() () () | ()
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">E1</span> <span class="o">=</span> <span class="n">and_</span><span class="p">(</span>
<span class="n">or_</span><span class="p">(</span><span class="n">and_</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">),</span> <span class="n">and_</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">),</span> <span class="n">and_</span><span class="p">(</span><span class="n">c</span><span class="p">,</span> <span class="n">a</span><span class="p">)),</span> <span class="c1"># Any two variables...</span>
<span class="n">nand</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span> <span class="c1"># ...but not all three.</span>
<span class="p">)</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">E1</span><span class="p">)</span>
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<pre>((((((a) (b)) ((a) (c)) ((b) (c))))) ((((a) (b) (c)))))
a b c | Value
---------+------
|
() |
() |
() () | ()
() |
() () | ()
() () | ()
() () () |
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<p>This is a <a href="https://en.wikipedia.org/wiki/Brute-force_search">brute-force</a> <a href="https://en.wikipedia.org/wiki/Boolean_satisfiability_problem">SAT</a> <a href="https://en.wikipedia.org/wiki/Boolean_satisfiability_problem#Algorithms_for_solving_SAT">solver</a> that doesn't even bother to stop once it's found a solution.</p>
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<h2 id="Expressions-from-Truth-Tables">Expressions from Truth Tables<a class="anchor-link" href="#Expressions-from-Truth-Tables">&#182;</a></h2><p>Sometimes we will have a function for which we know the behavior (truth table) but not an expression and we want the expression. For example, imagine that we didn't just create the expression for this table:</p>
<pre><code> a b c | Value
---------+------
|
() |
() |
() () | ()
() |
() () | ()
() () | ()
() () () |
</code></pre>
<h3 id="Each-Row-can-be-Represented-as-an-Expression">Each Row can be Represented as an Expression<a class="anchor-link" href="#Each-Row-can-be-Represented-as-an-Expression">&#182;</a></h3><p>To write an expression for this table, first we should understand that each row can be represented as an expression.</p>
<pre><code> ⟶ ( a b c )
() ⟶ ( a b (c))
() ⟶ ( a (b) c )
() () ⟶ ( a (b) (c))
() ⟶ ((a) b c )
() () ⟶ ((a) b (c))
() () ⟶ ((a) (b) c )
() () () ⟶ ((a) (b) (c))
</code></pre>
<p>Each of the above expressions will be true (Mark-valued) for only one possible combination of the three input variables. For example, let's look at the sixth expression above:</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">e6</span> <span class="o">=</span> <span class="n">F</span><span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,))</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">e6</span><span class="p">)</span>
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<pre>((a) (c) b)
a b c | Value
---------+------
|
() |
() |
() () |
() |
() () | ()
() () |
() () () |
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<p>To make an expression that is Mark-valued for just certain rows of the table, pick those rows' expressions,</p>
<pre><code> () () | ( a (b) (c))
() () | ((a) b (c))
() () | ((a) (b) c )
</code></pre>
<p>And write them down as terms in an <strong>OR</strong> expression:</p>
<pre><code>E = (a(b)(c)) ((a)b(c)) ((a)(b)c)
</code></pre>
<p>In conventional notation this is called <a href="https://en.wikipedia.org/wiki/Disjunctive_normal_form">Disjunctive normal form</a>:</p>
<pre><code>E = (¬a ∧ b ∧ c) ∨ (a ∧ ¬b ∧ c) ∨ (a ∧ b ∧ ¬c)
</code></pre>
<p>Here it is in action:</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">e4</span> <span class="o">=</span> <span class="p">(</span> <span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,))</span>
<span class="n">e6</span> <span class="o">=</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,))</span>
<span class="n">e7</span> <span class="o">=</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="n">c</span> <span class="p">)</span>
<span class="n">E2</span> <span class="o">=</span> <span class="n">or_</span><span class="p">(</span><span class="n">e4</span><span class="p">,</span> <span class="n">e6</span><span class="p">,</span> <span class="n">e7</span><span class="p">)</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">E2</span><span class="p">)</span>
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<pre>((((a) (b) c) ((a) (c) b) ((b) (c) a)))
a b c | Value
---------+------
|
() |
() |
() () | ()
() |
() () | ()
() () | ()
() () () |
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<h3 id="Equivalence">Equivalence<a class="anchor-link" href="#Equivalence">&#182;</a></h3><p>Note that the expression E2 above is equivalent to the ealier expression E1 that has the same truth table, in other words:</p>
<pre><code>((((((a) (b)) ((b) (c)) ((c) (a))))) ((((a) (b) (c)))))
</code></pre>
<p>equals</p>
<pre><code>(((a (b) (c)) ((a) b (c)) ((a) (b) c)))
</code></pre>
<p>We can demonstrate this equivalence by evaluating the expression formed by <code>eqiv()</code> from these two.</p>
<p>For every environment (from the set of possible values for the variables) if both expressions have the same value when evaluated then the <code>eqiv()</code> of those expressions will be Mark-valued (true in our chosen context.)</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">truth_table</span><span class="p">(</span><span class="n">eqiv</span><span class="p">(</span><span class="n">E1</span><span class="p">,</span> <span class="n">E2</span><span class="p">))</span>
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<pre>(((((((((a) (b)) ((a) (c)) ((b) (c))))) ((((a) (b) (c)))))) ((((a) (b) c) ((a) (c) b) ((b) (c) a)))) (((((((a) (b)) ((a) (c)) ((b) (c))))) ((((a) (b) (c))))) (((((a) (b) c) ((a) (c) b) ((b) (c) a))))))
a b c | Value
---------+------
| ()
() | ()
() | ()
() () | ()
() | ()
() () | ()
() () | ()
() () () | ()
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<p>The truth table above shows that the equivalence expression is true (Mark-valued by our current convention) for all possible assignments of Mark/Void to the three variables <code>a</code>, <code>b</code>, and <code>c</code>. This indicates that the expression is a <strong>tautology</strong>.</p>
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<h2 id="Half-Bit-Adder"><a href="https://en.wikipedia.org/wiki/Adder_%28electronics%29#Half_adder">Half-Bit Adder</a><a class="anchor-link" href="#Half-Bit-Adder">&#182;</a></h2><p>If you have two binary digits ("bits") and you are interested in the (binary) sum of these digits you will need two circuits, one for the "ones place" and one for the "twos place" or "carry bit".</p>
<p>Consider:</p>
<pre><code>a b | c s
----+----
0 0 | 0 0
0 1 | 0 1
1 0 | 0 1
1 1 | 1 0
</code></pre>
<p>Treating each output column ('c' for carry, 's' for sum) as a single expression, it's easy to see that the carry bit is just <strong>AND</strong> and the sum bit is just <strong>XOR</strong> of the two input bits.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">a</span><span class="p">,</span> <span class="n">b</span> <span class="o">=</span> <span class="s1">&#39;ab&#39;</span>
<span class="n">half_bit_adder</span> <span class="o">=</span> <span class="p">{</span>
<span class="s1">&#39;Sum&#39;</span><span class="p">:</span> <span class="n">xor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">),</span>
<span class="s1">&#39;Carry&#39;</span><span class="p">:</span> <span class="n">and_</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">),</span>
<span class="p">}</span>
<span class="k">for</span> <span class="n">name</span><span class="p">,</span> <span class="n">expr</span> <span class="ow">in</span> <span class="n">half_bit_adder</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="nb">print</span> <span class="n">name</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">expr</span><span class="p">)</span>
<span class="nb">print</span>
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<pre>Carry
((a) (b))
a b | Value
------+------
|
() |
() |
() () | ()
Sum
((((a) b) ((b) a)))
a b | Value
------+------
|
() | ()
() | ()
() () |
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<h2 id="Full-bit-Adder"><a href="https://en.wikipedia.org/wiki/Adder_%28electronics%29#Full_adder">Full-bit Adder</a><a class="anchor-link" href="#Full-bit-Adder">&#182;</a></h2><p>In order to add two multi-bit binary numbers we need adder circuits that are designed to work with <em>three</em> input bits: the two bits to add together and a carry bit from the previous addition:</p>
<pre><code> a b Cin Sum Cout
0 0 0 | 0 0
0 0 1 | 1 0
0 1 0 | 1 0
0 1 1 | 0 1
1 0 0 | 1 0
1 0 1 | 0 1
1 1 0 | 0 1
1 1 1 | 1 1
</code></pre>
<p>Looking back at our table of three-variable expressions:</p>
<pre><code> ⟶ ( a b c )
() ⟶ ( a b (c))
() ⟶ ( a (b) c )
() () ⟶ ( a (b) (c))
() ⟶ ((a) b c )
() () ⟶ ((a) b (c))
() () ⟶ ((a) (b) c )
() () () ⟶ ((a) (b) (c))
</code></pre>
<p>We can easily determine expressions for sum and carry:</p>
<pre><code>Sum = (a b (c)) (a (b) c) ((a) b c) ((a) (b) (c))
Cout = (a (b) (c)) ((a) b (c)) ((a) (b) c) ((a) (b) (c))</code></pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">Sum</span> <span class="o">=</span> <span class="n">F</span><span class="p">((</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,))</span> <span class="p">),)</span>
<span class="n">Carry</span> <span class="o">=</span> <span class="n">F</span><span class="p">((</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,))</span> <span class="p">),)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">print</span> <span class="s1">&#39;Sum&#39;</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">Sum</span><span class="p">)</span>
<span class="nb">print</span>
<span class="nb">print</span> <span class="s1">&#39;Carry&#39;</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">Carry</span><span class="p">)</span>
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<pre>Sum
((((a) (b) (c)) ((a) b c) ((b) a c) ((c) a b)))
a b c | Value
---------+------
|
() | ()
() | ()
() () |
() | ()
() () |
() () |
() () () | ()
Carry
((((a) (b) (c)) ((a) (b) c) ((a) (c) b) ((b) (c) a)))
a b c | Value
---------+------
|
() |
() |
() () | ()
() |
() () | ()
() () | ()
() () () | ()
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<p>Let's make a <code>full_bit_adder()</code> function that can define new expressions in terms of variables (or expressions) passed into it.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">full_bit_adder</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">):</span>
<span class="k">return</span> <span class="p">(</span>
<span class="n">F</span><span class="p">((</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,))</span> <span class="p">),),</span>
<span class="n">F</span><span class="p">((</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,))</span> <span class="p">),),</span>
<span class="p">)</span>
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<p>Now we can chain it to make a set of circuits that define together an eight-bit adder circuit with carry.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">sum0</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a0&#39;</span><span class="p">,</span> <span class="s1">&#39;b0&#39;</span><span class="p">,</span> <span class="s1">&#39;Cin&#39;</span><span class="p">)</span>
<span class="n">sum1</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a1&#39;</span><span class="p">,</span> <span class="s1">&#39;b1&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum2</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a2&#39;</span><span class="p">,</span> <span class="s1">&#39;b2&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum3</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a3&#39;</span><span class="p">,</span> <span class="s1">&#39;b3&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum4</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a4&#39;</span><span class="p">,</span> <span class="s1">&#39;b4&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum5</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a5&#39;</span><span class="p">,</span> <span class="s1">&#39;b5&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum6</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a6&#39;</span><span class="p">,</span> <span class="s1">&#39;b6&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum7</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a7&#39;</span><span class="p">,</span> <span class="s1">&#39;b7&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
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<p>Unfortunately, the sizes of the resulting expression explode:</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">map</span><span class="p">(</span><span class="nb">len</span><span class="p">,</span> <span class="nb">map</span><span class="p">(</span><span class="nb">str</span><span class="p">,</span> <span class="p">(</span><span class="n">sum0</span><span class="p">,</span> <span class="n">sum1</span><span class="p">,</span> <span class="n">sum2</span><span class="p">,</span> <span class="n">sum3</span><span class="p">,</span> <span class="n">sum4</span><span class="p">,</span> <span class="n">sum5</span><span class="p">,</span> <span class="n">sum6</span><span class="p">,</span> <span class="n">sum7</span><span class="p">,</span> <span class="n">cout</span><span class="p">)))</span>
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<pre>[63, 327, 1383, 5607, 22503, 90087, 360423, 1441767, 1441773]</pre>
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<h3 id="Using-the-definitions-for-Sum-and-Carry">Using the definitions for Sum and Carry<a class="anchor-link" href="#Using-the-definitions-for-Sum-and-Carry">&#182;</a></h3><p>We could also use the definitions from the <a href="https://en.wikipedia.org/wiki/Adder_%28electronics%29#Full_adder">Wikipedia article</a>:</p>
<pre><code>S = A ⊕ B ⊕ C
Cout = (A ⋅ B) + (Cin ⋅ (A ⊕ B))</code></pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">full_bit_adder</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">):</span>
<span class="k">return</span> <span class="p">(</span>
<span class="n">xor</span><span class="p">(</span><span class="n">xor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">),</span> <span class="n">c</span><span class="p">),</span>
<span class="n">or_</span><span class="p">(</span><span class="n">and_</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">),</span> <span class="n">and_</span><span class="p">(</span><span class="n">c</span><span class="p">,</span> <span class="n">xor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">))),</span>
<span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">sum0</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a0&#39;</span><span class="p">,</span> <span class="s1">&#39;b0&#39;</span><span class="p">,</span> <span class="s1">&#39;Cin&#39;</span><span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">print</span> <span class="s1">&#39;Sum&#39;</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">sum0</span><span class="p">)</span>
<span class="nb">print</span>
<span class="nb">print</span> <span class="s1">&#39;Carry&#39;</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">cout</span><span class="p">)</span>
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<pre>Sum
((((((((a0) b0) ((b0) a0)))) Cin) (((((a0) b0) ((b0) a0))) (Cin))))
Cin a0 b0 | Value
-------------+------
|
() | ()
() | ()
() () |
() | ()
() () |
() () |
() () () | ()
Carry
((((((((a0) b0) ((b0) a0)))) (Cin)) ((a0) (b0))))
Cin a0 b0 | Value
-------------+------
|
() |
() |
() () | ()
() |
() () | ()
() () | ()
() () () | ()
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">sum1</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a1&#39;</span><span class="p">,</span> <span class="s1">&#39;b1&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum2</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a2&#39;</span><span class="p">,</span> <span class="s1">&#39;b2&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum3</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a3&#39;</span><span class="p">,</span> <span class="s1">&#39;b3&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum4</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a4&#39;</span><span class="p">,</span> <span class="s1">&#39;b4&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum5</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a5&#39;</span><span class="p">,</span> <span class="s1">&#39;b5&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum6</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a6&#39;</span><span class="p">,</span> <span class="s1">&#39;b6&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum7</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a7&#39;</span><span class="p">,</span> <span class="s1">&#39;b7&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
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<p>The sizes of these expression are much more tractable:</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">map</span><span class="p">(</span><span class="nb">len</span><span class="p">,</span> <span class="nb">map</span><span class="p">(</span><span class="nb">str</span><span class="p">,</span> <span class="p">(</span><span class="n">sum0</span><span class="p">,</span> <span class="n">sum1</span><span class="p">,</span> <span class="n">sum2</span><span class="p">,</span> <span class="n">sum3</span><span class="p">,</span> <span class="n">sum4</span><span class="p">,</span> <span class="n">sum5</span><span class="p">,</span> <span class="n">sum6</span><span class="p">,</span> <span class="n">sum7</span><span class="p">,</span> <span class="n">cout</span><span class="p">)))</span>
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<pre>[67, 159, 251, 343, 435, 527, 619, 711, 371]</pre>
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<h1 id="Simplifying-Expressions">Simplifying Expressions<a class="anchor-link" href="#Simplifying-Expressions">&#182;</a></h1><p>The <code>Form</code> Python datastructure is based on <code>frozenset</code> so duplicate terms are automatically removed and order of terms is irrelevant just as we would prefer. But we want to be able to automatically simplify forms beyond just that. Ideally, we would like a function that applies the rules of the calculus automatically:</p>
<pre><code>A((B)) = AB
A() = ()
A(AB) = A(B)
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<p>I'm going to specify the behaviour of the desired function in a unittest.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="kn">import</span> <span class="nn">unittest</span>
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<h3 id="Three-Easy-Cases">Three Easy Cases<a class="anchor-link" href="#Three-Easy-Cases">&#182;</a></h3><p>Let's deal with three easy cases first: string, the Mark, and the Void. The <code>simplify()</code> function should just return them unchanged.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">class</span> <span class="nc">UnwrapTest0</span><span class="p">(</span><span class="n">unittest</span><span class="o">.</span><span class="n">TestCase</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">testMark</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">Mark</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">Mark</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">testVoid</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">Void</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">Void</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">testLeaf</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="s1">&#39;a&#39;</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="s1">&#39;a&#39;</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">simplify</span><span class="p">(</span><span class="n">form</span><span class="p">):</span>
<span class="c1"># Three easy cases, for strings, Mark, or Void, just return it.</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">basestring</span><span class="p">)</span> <span class="ow">or</span> <span class="n">form</span> <span class="ow">in</span> <span class="n">BASE</span><span class="p">:</span>
<span class="k">return</span> <span class="n">form</span>
<span class="k">if</span> <span class="vm">__name__</span> <span class="o">==</span> <span class="s1">&#39;__main__&#39;</span><span class="p">:</span>
<span class="n">unittest</span><span class="o">.</span><span class="n">main</span><span class="p">(</span><span class="n">argv</span><span class="o">=</span><span class="p">[</span><span class="s1">&#39;ignored&#39;</span><span class="p">,</span> <span class="s1">&#39;UnwrapTest0&#39;</span><span class="p">],</span> <span class="n">exit</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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<pre>...
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Ran 3 tests in 0.004s
OK
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<h3 id="(a)"><code>(a)</code><a class="anchor-link" href="#(a)">&#182;</a></h3><p>A single string in a form <code>(a)</code> should also be returned unchanged:</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">class</span> <span class="nc">UnwrapTest1</span><span class="p">(</span><span class="n">unittest</span><span class="o">.</span><span class="n">TestCase</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">testNegatedLeaf</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="s1">&#39;a&#39;</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">simplify</span><span class="p">(</span><span class="n">form</span><span class="p">):</span>
<span class="c1"># Three easy cases, for strings, Mark, or Void, just return it.</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">basestring</span><span class="p">)</span> <span class="ow">or</span> <span class="n">form</span> <span class="ow">in</span> <span class="n">BASE</span><span class="p">:</span>
<span class="k">return</span> <span class="n">form</span>
<span class="c1"># We know it&#39;s a Form and it&#39;s not empty (else it would be the Mark and</span>
<span class="c1"># returned above.)</span>
<span class="c1"># Let&#39;s just recurse.</span>
<span class="k">return</span> <span class="n">Form</span><span class="p">(</span><span class="n">simplify</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="k">for</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">form</span><span class="p">)</span>
<span class="k">if</span> <span class="vm">__name__</span> <span class="o">==</span> <span class="s1">&#39;__main__&#39;</span><span class="p">:</span>
<span class="n">unittest</span><span class="o">.</span><span class="n">main</span><span class="p">(</span><span class="n">argv</span><span class="o">=</span><span class="p">[</span><span class="s1">&#39;ignored&#39;</span><span class="p">,</span> <span class="s1">&#39;UnwrapTest1&#39;</span><span class="p">],</span> <span class="n">exit</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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<pre>.
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Ran 1 test in 0.001s
OK
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<h3 id="Doubly-Wrapped-Forms">Doubly-Wrapped Forms<a class="anchor-link" href="#Doubly-Wrapped-Forms">&#182;</a></h3><p>So far, so good. But what about <code>((a))</code>? This should be returned as just <code>a</code>. And <code>((a b))</code> should remain <code>((a b))</code> because we can't represent just <code>a b</code> as a single Python object, so we have to retain the outer pair of containers to hold them without inverting the Mark/Void value (if we just used one container.)</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">class</span> <span class="nc">UnwrapTest2</span><span class="p">(</span><span class="n">unittest</span><span class="o">.</span><span class="n">TestCase</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">testUnwrapLeaf</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;((a)) = a&#39;&#39;&#39;</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">or_</span><span class="p">(</span><span class="s1">&#39;a&#39;</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="s1">&#39;a&#39;</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">testDoNotUnwrapTwoLeaves</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;((a b)) = ((a b))&#39;&#39;&#39;</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">or_</span><span class="p">(</span><span class="s1">&#39;a&#39;</span><span class="p">,</span> <span class="s1">&#39;b&#39;</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">simplify</span><span class="p">(</span><span class="n">form</span><span class="p">):</span>
<span class="c1"># Three easy cases, for strings, Mark, or Void, just return it.</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">basestring</span><span class="p">)</span> <span class="ow">or</span> <span class="n">form</span> <span class="ow">in</span> <span class="n">BASE</span><span class="p">:</span>
<span class="k">return</span> <span class="n">form</span>
<span class="c1"># We know it&#39;s a Form and it&#39;s not empty (else it would be the Mark and</span>
<span class="c1"># returned above.)</span>
<span class="c1"># Let&#39;s just recurse.</span>
<span class="n">result</span> <span class="o">=</span> <span class="n">Form</span><span class="p">(</span><span class="n">simplify</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="k">for</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">form</span><span class="p">)</span>
<span class="c1"># Check for ((a)) and return just a.</span>
<span class="c1"># If there is more than one item in the inner container ((a b..))</span>
<span class="c1"># then we must keep the outer containers.</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">result</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">inner</span><span class="p">,</span> <span class="o">=</span> <span class="n">result</span> <span class="c1"># inner = (a)</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">Form</span><span class="p">)</span> <span class="ow">and</span> <span class="nb">len</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">a</span><span class="p">,</span> <span class="o">=</span> <span class="n">inner</span>
<span class="k">return</span> <span class="n">a</span>
<span class="k">return</span> <span class="n">result</span>
<span class="k">if</span> <span class="vm">__name__</span> <span class="o">==</span> <span class="s1">&#39;__main__&#39;</span><span class="p">:</span>
<span class="n">unittest</span><span class="o">.</span><span class="n">main</span><span class="p">(</span><span class="n">argv</span><span class="o">=</span><span class="p">[</span><span class="s1">&#39;ignored&#39;</span><span class="p">,</span> <span class="s1">&#39;UnwrapTest2&#39;</span><span class="p">],</span> <span class="n">exit</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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<pre>..
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Ran 2 tests in 0.002s
OK
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<p>Does it work for <code>(((a))) = (a)</code> and <code>((((a)))) = a</code> and so on?</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">class</span> <span class="nc">UnwrapTest3</span><span class="p">(</span><span class="n">unittest</span><span class="o">.</span><span class="n">TestCase</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">testMultiUnwrapLeaf</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">A</span> <span class="o">=</span> <span class="s1">&#39;a&#39;</span>
<span class="n">B</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">A</span><span class="p">)</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">B</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">B</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">B</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">B</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">testMultiDoNotUnwrapTwoLeaves</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="s1">&#39;a&#39;</span><span class="p">,</span> <span class="s1">&#39;b&#39;</span><span class="p">)</span>
<span class="n">f</span> <span class="o">=</span> <span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">e</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">f</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">f</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">f</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">nor</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="c1"># Technically, several of the tests above are redundant,</span>
<span class="c1"># I&#39;m not willing to figure out the right point ot stop</span>
<span class="c1"># right now, so I just do extra tests.</span>
<span class="k">if</span> <span class="vm">__name__</span> <span class="o">==</span> <span class="s1">&#39;__main__&#39;</span><span class="p">:</span>
<span class="n">unittest</span><span class="o">.</span><span class="n">main</span><span class="p">(</span><span class="n">argv</span><span class="o">=</span><span class="p">[</span><span class="s1">&#39;ignored&#39;</span><span class="p">,</span> <span class="s1">&#39;UnwrapTest3&#39;</span><span class="p">],</span> <span class="n">exit</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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Ran 2 tests in 0.003s
OK
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<h3 id="Unwrapping-Inner-Forms">Unwrapping Inner Forms<a class="anchor-link" href="#Unwrapping-Inner-Forms">&#182;</a></h3><p>But now let's trick our function, it can't handle <code>(a ((b c))) = (a b c)</code> yet. This is going to require an auxiliary helper function that is similar to <code>simplify()</code> but that yields terms into an outer context.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">class</span> <span class="nc">UnwrapTest4</span><span class="p">(</span><span class="n">unittest</span><span class="o">.</span><span class="n">TestCase</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">testMultiUnwrapLeaf</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span> <span class="o">=</span> <span class="s1">&#39;abc&#39;</span>
<span class="n">f</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,((</span><span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">),))</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">f</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">testMulti_blah_Leaf</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span> <span class="o">=</span> <span class="s1">&#39;abc&#39;</span>
<span class="n">f</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,(((</span><span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">),),),)</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">))</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">f</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">testMulti_blah_blah_Leaf</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="n">d</span> <span class="o">=</span> <span class="s1">&#39;abcd&#39;</span>
<span class="n">f</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,((((</span><span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">),),</span> <span class="n">d</span><span class="p">),))</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="n">d</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">f</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">simplify</span><span class="p">(</span><span class="n">form</span><span class="p">):</span>
<span class="c1"># Three easy cases, for strings, Mark, or Void, just return it.</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">basestring</span><span class="p">)</span> <span class="ow">or</span> <span class="n">form</span> <span class="ow">in</span> <span class="n">BASE</span><span class="p">:</span>
<span class="k">return</span> <span class="n">form</span>
<span class="c1"># We know it&#39;s a Form and it&#39;s not empty (else it would be the Mark and</span>
<span class="c1"># returned above.)</span>
<span class="n">result</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">simplify_gen</span><span class="p">(</span><span class="n">form</span><span class="p">):</span> <span class="c1"># Use the generator instead of recursing into simplify().</span>
<span class="n">result</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span>
<span class="n">result</span> <span class="o">=</span> <span class="n">Form</span><span class="p">(</span><span class="n">result</span><span class="p">)</span>
<span class="c1"># Check for ((a)) and return just a.</span>
<span class="c1"># If there is more than one item in the inner container ((a b..))</span>
<span class="c1"># then we must keep the outer containers.</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">result</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">inner</span><span class="p">,</span> <span class="o">=</span> <span class="n">result</span> <span class="c1"># inner = (a)</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">Form</span><span class="p">):</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">a</span><span class="p">,</span> <span class="o">=</span> <span class="n">inner</span>
<span class="k">return</span> <span class="n">a</span>
<span class="k">else</span><span class="p">:</span>
<span class="c1"># len(inner) cannot be 0, because that means form is Void</span>
<span class="c1"># and would already have been returned.</span>
<span class="k">assert</span> <span class="nb">len</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">1</span><span class="p">,</span> <span class="nb">repr</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span>
<span class="c1"># What to do here?</span>
<span class="c1"># We cannot yield the items in inner into the containing context</span>
<span class="c1"># because we don&#39;t have it (or even know if it exists.)</span>
<span class="c1"># Therefore we need a different simplify() generator function that yields</span>
<span class="c1"># the simplified contents of a form, and we have to call that instead</span>
<span class="c1"># of recurring on simplify() above.</span>
<span class="k">pass</span>
<span class="k">return</span> <span class="n">result</span>
<span class="k">def</span> <span class="nf">simplify_gen</span><span class="p">(</span><span class="n">form</span><span class="p">):</span>
<span class="k">for</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">form</span><span class="p">:</span>
<span class="n">inner</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span>
<span class="c1"># Now inner is simplified, except for ((a b...)) which simplify() can&#39;t handle.</span>
<span class="c1"># Three easy cases, strings, Mark, or Void.</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">basestring</span><span class="p">):</span>
<span class="k">yield</span> <span class="n">inner</span>
<span class="k">continue</span>
<span class="k">if</span> <span class="n">inner</span> <span class="o">==</span> <span class="n">Mark</span><span class="p">:</span>
<span class="k">yield</span> <span class="n">inner</span>
<span class="k">assert</span> <span class="kc">False</span> <span class="c1"># The simplify() function will not keep iterating after this.</span>
<span class="k">return</span> <span class="c1"># Partial implementation of ()A = ().</span>
<span class="k">if</span> <span class="n">inner</span> <span class="o">==</span> <span class="n">Void</span><span class="p">:</span>
<span class="k">continue</span> <span class="c1"># Omit Void. Implementation of (()) = .</span>
<span class="c1"># We know it&#39;s a Form and it&#39;s not empty (else it would be the Mark and</span>
<span class="c1"># yielded above.)</span>
<span class="c1"># Check for ((...)) and return just ... .</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">1</span><span class="p">:</span> <span class="c1"># (foo bar)</span>
<span class="k">yield</span> <span class="n">inner</span>
<span class="k">continue</span>
<span class="k">assert</span> <span class="nb">len</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">,</span> <span class="nb">repr</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="c1"># Just in case...</span>
<span class="n">inner_inner</span><span class="p">,</span> <span class="o">=</span> <span class="n">inner</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inner_inner</span><span class="p">,</span> <span class="n">Form</span><span class="p">):</span> <span class="c1"># inner_inner = (...)</span>
<span class="k">for</span> <span class="n">inner_inner_inner</span> <span class="ow">in</span> <span class="n">inner_inner</span><span class="p">:</span>
<span class="k">yield</span> <span class="n">inner_inner_inner</span>
<span class="k">continue</span>
<span class="c1">#else: # inner_inner = foo ; inner = (foo)</span>
<span class="k">yield</span> <span class="n">inner</span>
<span class="k">if</span> <span class="vm">__name__</span> <span class="o">==</span> <span class="s1">&#39;__main__&#39;</span><span class="p">:</span>
<span class="n">unittest</span><span class="o">.</span><span class="n">main</span><span class="p">(</span><span class="n">argv</span><span class="o">=</span><span class="p">[</span><span class="s1">&#39;ignored&#39;</span><span class="p">,</span> <span class="s1">&#39;UnwrapTest4&#39;</span><span class="p">],</span> <span class="n">exit</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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Ran 3 tests in 0.005s
OK
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<h3 id="Marks">Marks<a class="anchor-link" href="#Marks">&#182;</a></h3><p>If the Mark occurs in a sub-form it should <em>Occlude</em> all sibling sub-forms, rendering its container form Void.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">class</span> <span class="nc">MarkTest0</span><span class="p">(</span><span class="n">unittest</span><span class="o">.</span><span class="n">TestCase</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">testMarkOccludes0</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span> <span class="o">=</span> <span class="s1">&#39;abc&#39;</span>
<span class="n">f</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(),</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">Void</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">f</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">testMarkOccludes1</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span> <span class="o">=</span> <span class="s1">&#39;abc&#39;</span>
<span class="n">f</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="p">()))</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">f</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">testMarkOccludes2</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span> <span class="o">=</span> <span class="s1">&#39;abc&#39;</span>
<span class="n">f</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="p">((),</span> <span class="n">c</span><span class="p">)))</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,))</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">f</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">simplify</span><span class="p">(</span><span class="n">form</span><span class="p">):</span>
<span class="c1"># Three easy cases, for strings, Mark, or Void, just return it.</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">basestring</span><span class="p">)</span> <span class="ow">or</span> <span class="n">form</span> <span class="ow">in</span> <span class="n">BASE</span><span class="p">:</span>
<span class="k">return</span> <span class="n">form</span>
<span class="c1"># We know it&#39;s a Form and it&#39;s not empty (else it would be the Mark and</span>
<span class="c1"># returned above.)</span>
<span class="n">result</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">simplify_gen</span><span class="p">(</span><span class="n">form</span><span class="p">):</span>
<span class="k">if</span> <span class="n">inner</span> <span class="o">==</span> <span class="n">Mark</span><span class="p">:</span>
<span class="k">return</span> <span class="n">Void</span> <span class="c1"># Discard any other inner forms, form is Void.</span>
<span class="n">result</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span>
<span class="n">result</span> <span class="o">=</span> <span class="n">Form</span><span class="p">(</span><span class="n">result</span><span class="p">)</span>
<span class="c1"># Check for ((a)) and return just a.</span>
<span class="c1"># If there is more than one item in the inner container ((a b..))</span>
<span class="c1"># then we must keep the outer containers.</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">result</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">inner</span><span class="p">,</span> <span class="o">=</span> <span class="n">result</span> <span class="c1"># inner = (a)</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">Form</span><span class="p">):</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">a</span><span class="p">,</span> <span class="o">=</span> <span class="n">inner</span>
<span class="k">return</span> <span class="n">a</span>
<span class="k">return</span> <span class="n">result</span>
<span class="k">if</span> <span class="vm">__name__</span> <span class="o">==</span> <span class="s1">&#39;__main__&#39;</span><span class="p">:</span>
<span class="n">unittest</span><span class="o">.</span><span class="n">main</span><span class="p">(</span><span class="n">argv</span><span class="o">=</span><span class="p">[</span><span class="s1">&#39;ignored&#39;</span><span class="p">,</span> <span class="s1">&#39;MarkTest0&#39;</span><span class="p">],</span> <span class="n">exit</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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<pre>...
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Ran 3 tests in 0.004s
OK
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<h3 id="Pervade">Pervade<a class="anchor-link" href="#Pervade">&#182;</a></h3><p>So we have <code>(()) = --</code> and <code>()A = ()</code> what about <code>A(AB) = A(B)</code>?</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">class</span> <span class="nc">PervadeTest0</span><span class="p">(</span><span class="n">unittest</span><span class="o">.</span><span class="n">TestCase</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">testPervade0</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">a</span> <span class="o">=</span> <span class="s1">&#39;a&#39;</span>
<span class="n">f</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">a</span><span class="p">,))</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">Void</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">f</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">testPervade1</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">a</span> <span class="o">=</span> <span class="s1">&#39;a&#39;</span>
<span class="n">f</span> <span class="o">=</span> <span class="n">F</span><span class="p">(((</span><span class="n">a</span><span class="p">,),),</span> <span class="p">(</span><span class="n">a</span><span class="p">,))</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">Void</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">f</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">testPervade2</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">a</span> <span class="o">=</span> <span class="s1">&#39;a&#39;</span>
<span class="n">b</span> <span class="o">=</span> <span class="s1">&#39;b&#39;</span>
<span class="n">f</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">a</span><span class="p">,)))</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">f</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">simplify</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">exclude</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
<span class="c1"># Three easy cases, for strings, Mark, or Void, just return it.</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">basestring</span><span class="p">)</span> <span class="ow">or</span> <span class="n">form</span> <span class="ow">in</span> <span class="n">BASE</span><span class="p">:</span>
<span class="k">return</span> <span class="n">form</span>
<span class="c1"># We know it&#39;s a Form and it&#39;s not empty (else it would be the Mark and</span>
<span class="c1"># returned above.)</span>
<span class="k">if</span> <span class="n">exclude</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">exclude</span> <span class="o">=</span> <span class="nb">set</span><span class="p">()</span>
<span class="n">new_stuff</span> <span class="o">=</span> <span class="n">form</span> <span class="o">-</span> <span class="n">exclude</span>
<span class="n">exclude</span> <span class="o">=</span> <span class="n">exclude</span> <span class="o">|</span> <span class="n">new_stuff</span>
<span class="n">result</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">simplify_gen</span><span class="p">(</span><span class="n">new_stuff</span><span class="p">,</span> <span class="n">exclude</span><span class="p">):</span>
<span class="k">if</span> <span class="n">inner</span> <span class="o">==</span> <span class="n">Mark</span><span class="p">:</span>
<span class="k">return</span> <span class="n">Void</span> <span class="c1"># Discard any other inner forms, form is Void.</span>
<span class="n">result</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span>
<span class="n">result</span> <span class="o">=</span> <span class="n">Form</span><span class="p">(</span><span class="n">result</span><span class="p">)</span>
<span class="c1"># Check for ((a)) and return just a.</span>
<span class="c1"># If there is more than one item in the inner container ((a b..))</span>
<span class="c1"># then we must keep the outer containers.</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">result</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">inner</span><span class="p">,</span> <span class="o">=</span> <span class="n">result</span> <span class="c1"># inner = (a)</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">Form</span><span class="p">):</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">a</span><span class="p">,</span> <span class="o">=</span> <span class="n">inner</span>
<span class="k">return</span> <span class="n">a</span>
<span class="k">return</span> <span class="n">result</span>
<span class="k">def</span> <span class="nf">simplify_gen</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">exclude</span><span class="p">):</span>
<span class="k">for</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">form</span><span class="p">:</span>
<span class="n">inner</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">exclude</span><span class="p">)</span>
<span class="c1"># Now inner is simplified, except for ((a b...)) which simplify() can&#39;t handle.</span>
<span class="c1"># Three easy cases, strings, Mark, or Void.</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">basestring</span><span class="p">):</span>
<span class="k">yield</span> <span class="n">inner</span>
<span class="k">continue</span>
<span class="k">if</span> <span class="n">inner</span> <span class="o">==</span> <span class="n">Mark</span><span class="p">:</span>
<span class="k">yield</span> <span class="n">inner</span>
<span class="k">assert</span> <span class="kc">False</span> <span class="c1"># The simplify() function will not keep iterating after this.</span>
<span class="k">return</span> <span class="c1"># Partial implementation of ()A = ().</span>
<span class="k">if</span> <span class="n">inner</span> <span class="o">==</span> <span class="n">Void</span><span class="p">:</span>
<span class="k">continue</span> <span class="c1"># Omit Void. Implementation of (()) = .</span>
<span class="c1"># We know it&#39;s a Form and it&#39;s not empty (else it would be the Mark and</span>
<span class="c1"># yielded above.)</span>
<span class="c1"># Check for ((...)) and return just ... .</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">1</span><span class="p">:</span> <span class="c1"># (foo bar)</span>
<span class="k">yield</span> <span class="n">inner</span>
<span class="k">continue</span>
<span class="k">assert</span> <span class="nb">len</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">,</span> <span class="nb">repr</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="c1"># Just in case...</span>
<span class="n">inner_inner</span><span class="p">,</span> <span class="o">=</span> <span class="n">inner</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inner_inner</span><span class="p">,</span> <span class="n">Form</span><span class="p">):</span> <span class="c1"># inner_inner = (...)</span>
<span class="k">for</span> <span class="n">inner_inner_inner</span> <span class="ow">in</span> <span class="n">inner_inner</span><span class="p">:</span>
<span class="k">yield</span> <span class="n">inner_inner_inner</span>
<span class="k">continue</span>
<span class="c1">#else: # inner_inner = foo ; inner = (foo)</span>
<span class="k">yield</span> <span class="n">inner</span>
<span class="k">if</span> <span class="vm">__name__</span> <span class="o">==</span> <span class="s1">&#39;__main__&#39;</span><span class="p">:</span>
<span class="n">unittest</span><span class="o">.</span><span class="n">main</span><span class="p">(</span><span class="n">argv</span><span class="o">=</span><span class="p">[</span><span class="s1">&#39;ignored&#39;</span><span class="p">,</span> <span class="s1">&#39;PervadeTest0&#39;</span><span class="p">],</span> <span class="n">exit</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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<pre>...
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Ran 3 tests in 0.004s
OK
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<p>TODO set up <a href="http://hypothesis.works/">Hypothesis</a> to generate test cases...</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="c1"># Run ALL the tests!</span>
<span class="k">if</span> <span class="vm">__name__</span> <span class="o">==</span> <span class="s1">&#39;__main__&#39;</span><span class="p">:</span>
<span class="n">unittest</span><span class="o">.</span><span class="n">main</span><span class="p">(</span><span class="n">argv</span><span class="o">=</span><span class="p">[</span><span class="s1">&#39;ignored&#39;</span><span class="p">],</span> <span class="n">exit</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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<pre>.................
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Ran 17 tests in 0.022s
OK
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<h2 id="Using-%22Each-Way%22-to-Simplify-Forms"><a href="http://www.markability.net/case_analysis.htm">Using "Each-Way" to Simplify Forms</a><a class="anchor-link" href="#Using-%22Each-Way%22-to-Simplify-Forms">&#182;</a></h2><p>GSB called this "Each-Way":</p>
<pre><code>a = ((a b) (a (b)))</code></pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">truth_table</span><span class="p">(</span><span class="n">F</span><span class="p">((</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">),</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,))))</span>
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<pre>(((b) a) (a b))
a b | Value
------+------
|
() |
() | ()
() () | ()
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<p>The form says, "if b then a else a". I'll come back to the interpretation of "Each-Way" as an <code>if-then-else</code> statement later.</p>
<p>The thing to note here is that the value for <code>a</code> can be a whole expression which appears twice in the new form: once next to <code>b</code> and once next to <code>(b)</code>.</p>
<p>In the first case we can remove any occurances of <code>b</code> from the <code>a</code> next to it</p>
<pre><code>b (...(b c (d ...)))
b (...( c (d ...)))
</code></pre>
<p>and in the second case we can change any occurances of <code>b</code> to the Mark.</p>
<pre><code>(b)(...(b c (d ...)))
(b)((b)(b c (d ...)))
(b)(...(b (b) c (d ...)))
(b)(...(b ( ) c (d ...)))
(b)(...( ( ) ))
(b)(... )
</code></pre>
<p>We can send <code>(b)</code> into the form until it reaches and <code>b</code>, at which point <code>b(b)</code> becomes <code>()</code> and sweeps out any siblings rendering its containing form Void.</p>
<p>For the first case we can use <code>simplify()</code> and pass in <code>b</code> as a member of the <code>exclude</code> set.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">A</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)))</span>
<span class="n">A</span>
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<pre>(((c) b) a)</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">simplify</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="p">{</span><span class="n">b</span><span class="p">})</span>
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<pre>(a c)</pre>
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<h3 id="with_mark"><code>with_mark</code><a class="anchor-link" href="#with_mark">&#182;</a></h3><p>In the second case <code>(b)...b... = (b)...()...</code> we can modify the <code>simplify()</code> function to accept a name that it should treat as Mark-valued.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">class</span> <span class="nc">MarkitTest0</span><span class="p">(</span><span class="n">unittest</span><span class="o">.</span><span class="n">TestCase</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">testMarkit0</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span> <span class="o">=</span> <span class="s1">&#39;abc&#39;</span>
<span class="n">f</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)))</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">assertEqual</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">f</span><span class="p">,</span> <span class="n">with_mark</span><span class="o">=</span><span class="n">b</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">simplify</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">exclude</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">with_mark</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
<span class="c1"># Three easy cases, for strings, Mark, or Void, just return it.</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">basestring</span><span class="p">)</span> <span class="ow">or</span> <span class="n">form</span> <span class="ow">in</span> <span class="n">BASE</span><span class="p">:</span>
<span class="k">return</span> <span class="n">form</span>
<span class="c1"># We know it&#39;s a Form and it&#39;s not empty (else it would be the Mark and</span>
<span class="c1"># returned above.)</span>
<span class="k">if</span> <span class="n">exclude</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">exclude</span> <span class="o">=</span> <span class="nb">set</span><span class="p">()</span>
<span class="n">new_stuff</span> <span class="o">=</span> <span class="n">form</span> <span class="o">-</span> <span class="n">exclude</span>
<span class="n">exclude</span> <span class="o">=</span> <span class="n">exclude</span> <span class="o">|</span> <span class="n">new_stuff</span>
<span class="n">result</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">simplify_gen</span><span class="p">(</span><span class="n">new_stuff</span><span class="p">,</span> <span class="n">exclude</span><span class="p">,</span> <span class="n">with_mark</span><span class="p">):</span>
<span class="k">if</span> <span class="n">inner</span> <span class="o">==</span> <span class="n">Mark</span> <span class="ow">or</span> <span class="n">inner</span> <span class="o">==</span> <span class="n">with_mark</span><span class="p">:</span>
<span class="k">return</span> <span class="n">Void</span> <span class="c1"># Discard any other inner forms, form is Void.</span>
<span class="n">result</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span>
<span class="n">result</span> <span class="o">=</span> <span class="n">Form</span><span class="p">(</span><span class="n">result</span><span class="p">)</span>
<span class="c1"># Check for ((a)) and return just a.</span>
<span class="c1"># If there is more than one item in the inner container ((a b..))</span>
<span class="c1"># then we must keep the outer containers.</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">result</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">inner</span><span class="p">,</span> <span class="o">=</span> <span class="n">result</span> <span class="c1"># inner = (a)</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">Form</span><span class="p">):</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">a</span><span class="p">,</span> <span class="o">=</span> <span class="n">inner</span>
<span class="k">return</span> <span class="n">a</span>
<span class="k">return</span> <span class="n">result</span>
<span class="k">def</span> <span class="nf">simplify_gen</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">exclude</span><span class="p">,</span> <span class="n">with_mark</span><span class="p">):</span>
<span class="k">for</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">form</span><span class="p">:</span>
<span class="n">inner</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">exclude</span><span class="p">,</span> <span class="n">with_mark</span><span class="p">)</span>
<span class="c1"># Now inner is simplified, except for ((a b...)) which simplify() can&#39;t handle.</span>
<span class="c1"># Three easy cases, strings, Mark, or Void.</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">basestring</span><span class="p">):</span>
<span class="k">yield</span> <span class="n">inner</span>
<span class="k">continue</span>
<span class="k">if</span> <span class="n">inner</span> <span class="o">==</span> <span class="n">Mark</span> <span class="ow">or</span> <span class="n">inner</span> <span class="o">==</span> <span class="n">with_mark</span><span class="p">:</span>
<span class="k">yield</span> <span class="n">Mark</span>
<span class="k">assert</span> <span class="kc">False</span> <span class="c1"># The simplify() function will not keep iterating after this.</span>
<span class="k">return</span> <span class="c1"># Partial implementation of ()A = ().</span>
<span class="k">if</span> <span class="n">inner</span> <span class="o">==</span> <span class="n">Void</span><span class="p">:</span>
<span class="k">continue</span> <span class="c1"># Omit Void. Implementation of (()) = .</span>
<span class="c1"># We know it&#39;s a Form and it&#39;s not empty (else it would be the Mark and</span>
<span class="c1"># yielded above.)</span>
<span class="c1"># Check for ((...)) and return just ... .</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">1</span><span class="p">:</span> <span class="c1"># (foo bar)</span>
<span class="k">yield</span> <span class="n">inner</span>
<span class="k">continue</span>
<span class="k">assert</span> <span class="nb">len</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">,</span> <span class="nb">repr</span><span class="p">(</span><span class="n">inner</span><span class="p">)</span> <span class="c1"># Just in case...</span>
<span class="n">inner_inner</span><span class="p">,</span> <span class="o">=</span> <span class="n">inner</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inner_inner</span><span class="p">,</span> <span class="n">Form</span><span class="p">):</span> <span class="c1"># inner_inner = (...)</span>
<span class="k">for</span> <span class="n">inner_inner_inner</span> <span class="ow">in</span> <span class="n">inner_inner</span><span class="p">:</span>
<span class="k">if</span> <span class="n">inner_inner_inner</span> <span class="o">==</span> <span class="n">with_mark</span><span class="p">:</span>
<span class="k">yield</span> <span class="n">Mark</span>
<span class="k">assert</span> <span class="kc">False</span> <span class="c1"># The simplify() function will not keep iterating after this.</span>
<span class="k">return</span> <span class="c1"># Never reached, could delete this line.</span>
<span class="k">yield</span> <span class="n">inner_inner_inner</span>
<span class="k">continue</span>
<span class="c1">#else: # inner_inner = foo ; inner = (foo)</span>
<span class="k">yield</span> <span class="n">inner</span>
<span class="k">if</span> <span class="vm">__name__</span> <span class="o">==</span> <span class="s1">&#39;__main__&#39;</span><span class="p">:</span>
<span class="n">unittest</span><span class="o">.</span><span class="n">main</span><span class="p">(</span><span class="n">argv</span><span class="o">=</span><span class="p">[</span><span class="s1">&#39;ignored&#39;</span><span class="p">,</span> <span class="s1">&#39;MarkitTest0&#39;</span><span class="p">],</span> <span class="n">exit</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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<pre>.
----------------------------------------------------------------------
Ran 1 test in 0.001s
OK
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">simplify</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">with_mark</span><span class="o">=</span><span class="n">b</span><span class="p">)</span>
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<pre>(a)</pre>
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<p>Now we can create a new form that is equivalent to <code>A</code>.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">each_way</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">name</span><span class="p">):</span>
<span class="k">return</span> <span class="n">simplify</span><span class="p">(</span><span class="n">F</span><span class="p">(</span>
<span class="p">(</span> <span class="n">name</span> <span class="p">,</span> <span class="n">form</span><span class="p">),</span>
<span class="p">((</span><span class="n">name</span><span class="p">,),</span> <span class="n">simplify</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">with_mark</span><span class="o">=</span><span class="n">name</span><span class="p">)),</span>
<span class="p">))</span>
<span class="n">Ab</span> <span class="o">=</span> <span class="n">each_way</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span>
<span class="nb">print</span> <span class="n">A</span><span class="p">,</span> <span class="s1">&#39;=&#39;</span><span class="p">,</span> <span class="n">Ab</span>
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<pre>(((c) b) a) = (((a c) b) ((a) (b)))
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<p>In this particular case the original form <code>A</code> was so simple that the new version <code>Ab</code> is actually a bit larger. With a large expression to start with the form after simplification would (usually) be smaller.</p>
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<h3 id="Simplifying-the-Full-Bit-Adder">Simplifying the Full-Bit Adder<a class="anchor-link" href="#Simplifying-the-Full-Bit-Adder">&#182;</a></h3><p>Recall our original expressions for the sum and carry bits of a full-bit adder circuit, derived from the truth tables:</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">Sum</span> <span class="o">=</span> <span class="n">F</span><span class="p">((</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,))</span> <span class="p">),)</span>
<span class="n">Carry</span> <span class="o">=</span> <span class="n">F</span><span class="p">((</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,))</span> <span class="p">),)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">Sum</span>
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<pre>((((a) (b) (c)) ((a) b c) ((b) a c) ((c) a b)))</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">Carry</span>
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<pre>((((a) (b) (c)) ((a) (b) c) ((a) (c) b) ((b) (c) a)))</pre>
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<p>And the expressions derived from the definitions on Wikipedia:</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">Sum</span><span class="p">,</span> <span class="n">Carry</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">Sum</span>
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<pre>((((((((a) b) ((b) a)))) c) (((((a) b) ((b) a))) (c))))</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">Carry</span>
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<pre>((((((((a) b) ((b) a)))) (c)) ((a) (b))))</pre>
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<p>We can use the <code>each_way()</code> function to look for simpler equivalent forms by, for example, iterating though the names and trying it with each. Try the following cells with both versions of the <code>Sum</code> and <code>Carry</code> above.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">print</span> <span class="n">Sum</span>
<span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">):</span>
<span class="n">Sum</span> <span class="o">=</span> <span class="n">each_way</span><span class="p">(</span><span class="n">Sum</span><span class="p">,</span> <span class="n">name</span><span class="p">)</span>
<span class="nb">print</span> <span class="n">Sum</span>
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<pre>((((((((a) b) ((b) a)))) c) (((((a) b) ((b) a))) (c))))
((((b) (c)) (a) (b c)) (((b) c) ((c) b) a))
(((((a) (c)) (a c)) b) ((((a) c) ((c) a)) (b)))
(((((a) (b)) (a b)) c) ((((a) b) ((b) a)) (c)))
(((((b) (c)) (b c)) a) ((((b) c) ((c) b)) (a)))
(((((a) (c)) (a c)) b) ((((a) c) ((c) a)) (b)))
(((((a) (b)) (a b)) c) ((((a) b) ((b) a)) (c)))
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">print</span> <span class="n">Carry</span>
<span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">):</span>
<span class="n">Carry</span> <span class="o">=</span> <span class="n">each_way</span><span class="p">(</span><span class="n">Carry</span><span class="p">,</span> <span class="n">name</span><span class="p">)</span>
<span class="nb">print</span> <span class="n">Carry</span>
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<pre>((((((((a) b) ((b) a)))) (c)) ((a) (b))))
((((b) (c)) a) ((a) b c))
(((((a) c) (a)) b) ((b) a c))
(((((b) a) (b)) c) ((c) a b))
(((((c) b) (c)) a) ((a) b c))
(((((a) c) (a)) b) ((b) a c))
(((((b) a) (b)) c) ((c) a b))
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<p>Let's redefine the <code>full_bit_adder()</code> function with the smallest version of each above.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">full_bit_adder</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;From the truth table.&#39;&#39;&#39;</span>
<span class="k">return</span> <span class="p">(</span>
<span class="n">F</span><span class="p">((</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,))</span> <span class="p">),),</span>
<span class="n">F</span><span class="p">((</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,))</span> <span class="p">),),</span>
<span class="p">)</span>
<span class="c1"># Sizes: [63, 327, 1383, 5607, 22503, 90087, 360423, 1441767, 1441773]</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">full_bit_adder</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Simplest forms from above.&#39;&#39;&#39;</span>
<span class="k">return</span> <span class="p">(</span>
<span class="n">F</span><span class="p">(</span> <span class="p">(((</span><span class="n">b</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="p">(</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">)),</span> <span class="p">(((</span><span class="n">b</span><span class="p">,),</span> <span class="n">c</span><span class="p">),</span> <span class="p">((</span><span class="n">c</span><span class="p">,),</span> <span class="n">b</span><span class="p">),</span> <span class="n">a</span><span class="p">)</span> <span class="p">),</span>
<span class="n">F</span><span class="p">(</span> <span class="p">(((</span><span class="n">a</span><span class="p">,),</span> <span class="p">(</span><span class="n">c</span><span class="p">,)),</span> <span class="n">b</span><span class="p">),</span> <span class="p">((</span><span class="n">b</span><span class="p">,),</span> <span class="n">a</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span> <span class="p">),</span>
<span class="p">)</span>
<span class="c1"># Sizes: [57, 177, 417, 897, 1857, 3777, 7617, 15297, 7653]</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">full_bit_adder</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Based on the definitions from Wikipedia.&#39;&#39;&#39;</span>
<span class="k">return</span> <span class="p">(</span>
<span class="n">xor</span><span class="p">(</span><span class="n">xor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">),</span> <span class="n">c</span><span class="p">),</span> <span class="c1"># ((((((((a) b) ((b) a)))) c) (((((a) b) ((b) a))) (c))))</span>
<span class="n">or_</span><span class="p">(</span><span class="n">and_</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">),</span> <span class="n">and_</span><span class="p">(</span><span class="n">c</span><span class="p">,</span> <span class="n">xor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">))),</span> <span class="c1"># ((((((((a) b) ((b) a)))) (c)) ((a) (b))))</span>
<span class="p">)</span>
<span class="c1"># Sizes: [67, 159, 251, 343, 435, 527, 619, 711, 371]</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">full_bit_adder</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Based on the definitions from Wikipedia.&#39;&#39;&#39;</span>
<span class="k">return</span> <span class="p">(</span>
<span class="n">simplify</span><span class="p">(</span><span class="n">xor</span><span class="p">(</span><span class="n">xor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">),</span> <span class="n">c</span><span class="p">)),</span>
<span class="n">simplify</span><span class="p">(</span><span class="n">or_</span><span class="p">(</span><span class="n">and_</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">),</span> <span class="n">and_</span><span class="p">(</span><span class="n">c</span><span class="p">,</span> <span class="n">xor</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">)))),</span>
<span class="p">)</span>
<span class="c1"># Sizes: [59, 135, 211, 287, 363, 439, 515, 591, 311]</span>
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<p>In this case, the version from the definitions does much better than the other two.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">Sum</span><span class="p">,</span> <span class="n">Carry</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">Sum</span><span class="p">)</span>
<span class="nb">print</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">Carry</span><span class="p">)</span>
<span class="nb">print</span>
<span class="n">sum0</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a0&#39;</span><span class="p">,</span> <span class="s1">&#39;b0&#39;</span><span class="p">,</span> <span class="s1">&#39;Cin&#39;</span><span class="p">)</span>
<span class="n">sum1</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a1&#39;</span><span class="p">,</span> <span class="s1">&#39;b1&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum2</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a2&#39;</span><span class="p">,</span> <span class="s1">&#39;b2&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum3</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a3&#39;</span><span class="p">,</span> <span class="s1">&#39;b3&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum4</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a4&#39;</span><span class="p">,</span> <span class="s1">&#39;b4&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum5</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a5&#39;</span><span class="p">,</span> <span class="s1">&#39;b5&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum6</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a6&#39;</span><span class="p">,</span> <span class="s1">&#39;b6&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum7</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a7&#39;</span><span class="p">,</span> <span class="s1">&#39;b7&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="nb">print</span> <span class="nb">map</span><span class="p">(</span><span class="nb">len</span><span class="p">,</span> <span class="nb">map</span><span class="p">(</span><span class="nb">str</span><span class="p">,</span> <span class="p">(</span><span class="n">sum0</span><span class="p">,</span> <span class="n">sum1</span><span class="p">,</span> <span class="n">sum2</span><span class="p">,</span> <span class="n">sum3</span><span class="p">,</span> <span class="n">sum4</span><span class="p">,</span> <span class="n">sum5</span><span class="p">,</span> <span class="n">sum6</span><span class="p">,</span> <span class="n">sum7</span><span class="p">,</span> <span class="n">cout</span><span class="p">)))</span>
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<pre>((((((a) b) ((b) a)) c) (((a) b) ((b) a) (c))))
a b c | Value
---------+------
|
() | ()
() | ()
() () |
() | ()
() () |
() () |
() () () | ()
((((((a) b) ((b) a)) (c)) ((a) (b))))
a b c | Value
---------+------
|
() |
() |
() () | ()
() |
() () | ()
() () | ()
() () () | ()
[59, 135, 211, 287, 363, 439, 515, 591, 311]
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<h1 id="Davis%E2%80%93Putnam%E2%80%93Logemann%E2%80%93Loveland-(DPLL)-algorithm-SAT-Solver"><a href="https://en.wikipedia.org/wiki/Davis%E2%80%93Putnam%E2%80%93Logemann%E2%80%93Loveland_algorithm">Davis&#8211;Putnam&#8211;Logemann&#8211;Loveland (DPLL) algorithm</a> SAT Solver<a class="anchor-link" href="#Davis%E2%80%93Putnam%E2%80%93Logemann%E2%80%93Loveland-(DPLL)-algorithm-SAT-Solver">&#182;</a></h1><p>This is something of an Interlude, we aren't going to use it below, but it's too cool to omit mention.</p>
<p>We can use the <code>simplify()</code> function to create a more efficient SAT solver along the lines of the DPLL algorithm.</p>
<p>It works by selecting a name from the form, and simplifying the form with that name first as <code>Void</code> then as <code>Mark</code>, then recursing with the new form and the next name. If the resulting simplified form becomes the <code>Mark</code> then our choices (of assigning <code>Void</code> or <code>Mark</code> to the names selected so far) constitute a "solution" to the original form. That is, if we <code>reify()</code> the form with the <em>environment</em> returned by the <code>dpll()</code> function the result will be Mark-valued.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">dpll</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">partial</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">unit</span><span class="o">=</span><span class="kc">True</span><span class="p">):</span>
<span class="k">if</span> <span class="n">partial</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">partial</span> <span class="o">=</span> <span class="p">{}</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">partial</span> <span class="o">=</span> <span class="n">partial</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span> <span class="c1"># so we can backtrack later..</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">basestring</span><span class="p">):</span>
<span class="n">partial</span><span class="p">[</span><span class="n">E</span><span class="p">]</span> <span class="o">=</span> <span class="n">Mark</span>
<span class="k">return</span> <span class="n">partial</span>
<span class="k">if</span> <span class="n">unit</span><span class="p">:</span>
<span class="n">E</span> <span class="o">=</span> <span class="n">assign_unit_clauses</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">partial</span><span class="p">)</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">E</span><span class="p">:</span>
<span class="k">return</span> <span class="n">partial</span>
<span class="k">if</span> <span class="n">Mark</span> <span class="ow">in</span> <span class="n">E</span><span class="p">:</span>
<span class="k">return</span>
<span class="n">v</span> <span class="o">=</span> <span class="n">next_symbol_of</span><span class="p">(</span><span class="n">E</span><span class="p">)</span>
<span class="n">partial</span><span class="p">[</span><span class="n">v</span><span class="p">]</span> <span class="o">=</span> <span class="n">Void</span>
<span class="n">res</span> <span class="o">=</span> <span class="n">dpll</span><span class="p">(</span><span class="n">simplify</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="p">{</span><span class="n">v</span><span class="p">}),</span> <span class="n">partial</span><span class="p">,</span> <span class="n">unit</span><span class="p">)</span>
<span class="k">if</span> <span class="n">res</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
<span class="k">return</span> <span class="n">res</span>
<span class="n">partial</span><span class="p">[</span><span class="n">v</span><span class="p">]</span> <span class="o">=</span> <span class="n">Mark</span>
<span class="k">return</span> <span class="n">dpll</span><span class="p">(</span><span class="n">simplify</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">with_mark</span><span class="o">=</span><span class="n">v</span><span class="p">),</span> <span class="n">partial</span><span class="p">,</span> <span class="n">unit</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">assign_unit_clauses</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">partial</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;</span>
<span class="sd"> Find and assign values to an &quot;unit clauses&quot; in the form, simplifying as you go.</span>
<span class="sd"> A unit clause is a bare name or a negated name: a or (a), for these clauses we</span>
<span class="sd"> can set them to Void or Mark, respectively, to contibute to making their containing</span>
<span class="sd"> Form the Mark.</span>
<span class="sd"> &#39;&#39;&#39;</span>
<span class="n">on</span><span class="p">,</span> <span class="n">off</span><span class="p">,</span> <span class="n">E</span> <span class="o">=</span> <span class="n">find_units</span><span class="p">(</span><span class="n">E</span><span class="p">)</span>
<span class="k">while</span> <span class="n">on</span> <span class="ow">or</span> <span class="n">off</span><span class="p">:</span>
<span class="k">while</span> <span class="n">on</span><span class="p">:</span>
<span class="k">if</span> <span class="n">on</span> <span class="o">&amp;</span> <span class="n">off</span><span class="p">:</span> <span class="k">return</span> <span class="n">Void</span>
<span class="n">term</span> <span class="o">=</span> <span class="n">first_of</span><span class="p">(</span><span class="n">on</span><span class="p">)</span>
<span class="n">partial</span><span class="p">[</span><span class="n">term</span><span class="p">]</span> <span class="o">=</span> <span class="n">Mark</span>
<span class="n">ON</span><span class="p">,</span> <span class="n">OFF</span><span class="p">,</span> <span class="n">E</span> <span class="o">=</span> <span class="n">find_units</span><span class="p">(</span><span class="n">simplify</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">with_mark</span><span class="o">=</span><span class="n">term</span><span class="p">))</span>
<span class="n">on</span> <span class="o">|=</span> <span class="n">ON</span>
<span class="n">on</span><span class="o">.</span><span class="n">remove</span><span class="p">(</span><span class="n">term</span><span class="p">)</span>
<span class="n">off</span> <span class="o">|=</span> <span class="n">OFF</span>
<span class="k">while</span> <span class="n">off</span><span class="p">:</span>
<span class="k">if</span> <span class="n">on</span> <span class="o">&amp;</span> <span class="n">off</span><span class="p">:</span> <span class="k">return</span> <span class="n">Void</span>
<span class="n">term</span> <span class="o">=</span> <span class="n">first_of</span><span class="p">(</span><span class="n">off</span><span class="p">)</span>
<span class="n">partial</span><span class="p">[</span><span class="n">term</span><span class="p">]</span> <span class="o">=</span> <span class="n">Void</span>
<span class="n">ON</span><span class="p">,</span> <span class="n">OFF</span><span class="p">,</span> <span class="n">E</span> <span class="o">=</span> <span class="n">find_units</span><span class="p">(</span><span class="n">simplify</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="p">{</span><span class="n">term</span><span class="p">}))</span>
<span class="n">off</span> <span class="o">|=</span> <span class="n">OFF</span>
<span class="n">off</span><span class="o">.</span><span class="n">remove</span><span class="p">(</span><span class="n">term</span><span class="p">)</span>
<span class="n">on</span> <span class="o">|=</span> <span class="n">ON</span>
<span class="k">return</span> <span class="n">E</span>
<span class="k">def</span> <span class="nf">next_symbol_of</span><span class="p">(</span><span class="n">E</span><span class="p">):</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">basestring</span><span class="p">):</span>
<span class="k">return</span> <span class="n">E</span>
<span class="k">for</span> <span class="n">it</span> <span class="ow">in</span> <span class="n">E</span><span class="p">:</span>
<span class="k">return</span> <span class="n">next_symbol_of</span><span class="p">(</span><span class="n">it</span><span class="p">)</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;no more symbols&quot;</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">find_units</span><span class="p">(</span><span class="n">E</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;</span>
<span class="sd"> Return two sets and a possibly-reduced E. The literals in the first</span>
<span class="sd"> set must be Void and those in the second must be set Mark to have the</span>
<span class="sd"> entire expression become Void.</span>
<span class="sd"> &#39;&#39;&#39;</span>
<span class="n">on</span><span class="p">,</span> <span class="n">off</span><span class="p">,</span> <span class="n">poly</span> <span class="o">=</span> <span class="nb">set</span><span class="p">(),</span> <span class="nb">set</span><span class="p">(),</span> <span class="nb">set</span><span class="p">()</span>
<span class="k">for</span> <span class="n">clause</span> <span class="ow">in</span> <span class="n">E</span><span class="p">:</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">clause</span><span class="p">,</span> <span class="n">basestring</span><span class="p">):</span>
<span class="n">off</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">clause</span><span class="p">)</span>
<span class="k">continue</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">clause</span><span class="p">)</span> <span class="o">!=</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">poly</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">clause</span><span class="p">)</span>
<span class="k">continue</span>
<span class="p">(</span><span class="n">n</span><span class="p">,)</span> <span class="o">=</span> <span class="n">clause</span> <span class="c1"># Unwrap one layer of containment.</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">basestring</span><span class="p">):</span>
<span class="n">on</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">poly</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">clause</span><span class="p">)</span>
<span class="k">return</span> <span class="n">on</span><span class="p">,</span> <span class="n">off</span><span class="p">,</span> <span class="n">Form</span><span class="p">(</span><span class="n">poly</span><span class="p">)</span>
<span class="c1"># Return any item from a form.</span>
<span class="n">first_of</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">form</span><span class="p">:</span> <span class="nb">next</span><span class="p">(</span><span class="nb">iter</span><span class="p">(</span><span class="n">form</span><span class="p">))</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">A</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)))</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">A</span><span class="p">)</span>
<span class="n">solution</span> <span class="o">=</span> <span class="n">dpll</span><span class="p">(</span><span class="n">A</span><span class="p">)</span>
<span class="n">arith</span> <span class="o">=</span> <span class="n">reify</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">solution</span><span class="p">)</span>
<span class="nb">print</span>
<span class="nb">print</span> <span class="s1">&#39;A solution:&#39;</span><span class="p">,</span> <span class="n">solution</span>
<span class="nb">print</span>
<span class="nb">print</span> <span class="s1">&#39;Reifies to&#39;</span><span class="p">,</span> <span class="n">arith</span><span class="p">,</span> <span class="sa">u</span><span class="s1">&#39;⟶&#39;</span><span class="p">,</span> <span class="n">value_of</span><span class="p">(</span><span class="n">arith</span><span class="p">)</span>
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<pre>(((c) b) a)
a b c | Value
---------+------
| ()
() |
() | ()
() () | ()
() |
() () |
() () |
() () () |
A solution: {&#39;a&#39;: (()), &#39;c&#39;: (()), &#39;b&#39;: (())}
Reifies to ((((())) (())) (())) ⟶ ()
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<h3 id="dpll_iter()"><code>dpll_iter()</code><a class="anchor-link" href="#dpll_iter()">&#182;</a></h3><p>We can write a generator version of the function that keeps looking for solutions after the first.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">dpll_iter</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">partial</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">unit</span><span class="o">=</span><span class="kc">True</span><span class="p">):</span>
<span class="k">if</span> <span class="n">partial</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">partial</span> <span class="o">=</span> <span class="p">{}</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">partial</span> <span class="o">=</span> <span class="n">partial</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span> <span class="c1"># so we can backtrack later..</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">basestring</span><span class="p">):</span>
<span class="n">partial</span><span class="p">[</span><span class="n">E</span><span class="p">]</span> <span class="o">=</span> <span class="n">Mark</span>
<span class="k">yield</span> <span class="n">partial</span>
<span class="k">return</span>
<span class="k">if</span> <span class="n">unit</span><span class="p">:</span>
<span class="n">E</span> <span class="o">=</span> <span class="n">assign_unit_clauses</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">partial</span><span class="p">)</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">E</span><span class="p">:</span>
<span class="k">yield</span> <span class="n">partial</span>
<span class="k">return</span>
<span class="k">if</span> <span class="n">Mark</span> <span class="ow">in</span> <span class="n">E</span><span class="p">:</span>
<span class="k">return</span>
<span class="n">v</span> <span class="o">=</span> <span class="n">next_symbol_of</span><span class="p">(</span><span class="n">E</span><span class="p">)</span>
<span class="n">partial</span><span class="p">[</span><span class="n">v</span><span class="p">]</span> <span class="o">=</span> <span class="n">Void</span>
<span class="k">for</span> <span class="n">res</span> <span class="ow">in</span> <span class="n">dpll_iter</span><span class="p">(</span><span class="n">simplify</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="p">{</span><span class="n">v</span><span class="p">}),</span> <span class="n">partial</span><span class="p">,</span> <span class="n">unit</span><span class="p">):</span>
<span class="k">yield</span> <span class="n">res</span>
<span class="n">partial</span><span class="p">[</span><span class="n">v</span><span class="p">]</span> <span class="o">=</span> <span class="n">Mark</span>
<span class="k">for</span> <span class="n">res</span> <span class="ow">in</span> <span class="n">dpll_iter</span><span class="p">(</span><span class="n">simplify</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">with_mark</span><span class="o">=</span><span class="n">v</span><span class="p">),</span> <span class="n">partial</span><span class="p">,</span> <span class="n">unit</span><span class="p">):</span>
<span class="k">yield</span> <span class="n">res</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">solution</span> <span class="ow">in</span> <span class="n">dpll_iter</span><span class="p">(</span><span class="n">A</span><span class="p">):</span>
<span class="nb">print</span> <span class="p">(</span><span class="n">solution</span><span class="p">)</span>
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<pre>{&#39;a&#39;: (()), &#39;c&#39;: (()), &#39;b&#39;: (())}
{&#39;a&#39;: (()), &#39;b&#39;: ()}
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">Sum</span><span class="p">,</span> <span class="n">Carry</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">solution</span> <span class="ow">in</span> <span class="n">dpll_iter</span><span class="p">(</span><span class="n">Sum</span><span class="p">,</span> <span class="n">unit</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
<span class="n">r</span> <span class="o">=</span> <span class="n">reify</span><span class="p">(</span><span class="n">Sum</span><span class="p">,</span> <span class="n">solution</span><span class="p">)</span>
<span class="nb">print</span> <span class="p">(</span><span class="n">solution</span><span class="p">),</span> <span class="n">r</span><span class="p">,</span> <span class="s1">&#39;=&#39;</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">r</span><span class="p">)</span>
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<pre>{&#39;a&#39;: (()), &#39;c&#39;: (), &#39;b&#39;: (())} (((((((())) (()))) ()) ((((())) (())) (())))) = ()
{&#39;a&#39;: (()), &#39;c&#39;: (()), &#39;b&#39;: ()} (((((((())) ()) ((()))) (())) ((((())) ()) ((()))))) = ()
{&#39;a&#39;: (), &#39;c&#39;: (()), &#39;b&#39;: (())} (((((((())) ()) ((()))) (())) ((((())) ()) ((()))))) = ()
{&#39;a&#39;: (), &#39;c&#39;: (), &#39;b&#39;: ()} ((((((()) ())) ()) (((()) ()) (())))) = ()
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">solution</span> <span class="ow">in</span> <span class="n">dpll_iter</span><span class="p">(</span><span class="n">Carry</span><span class="p">,</span> <span class="n">unit</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
<span class="n">r</span> <span class="o">=</span> <span class="n">reify</span><span class="p">(</span><span class="n">Carry</span><span class="p">,</span> <span class="n">solution</span><span class="p">)</span>
<span class="nb">print</span> <span class="p">(</span><span class="n">solution</span><span class="p">),</span> <span class="n">r</span><span class="p">,</span> <span class="s1">&#39;=&#39;</span><span class="p">,</span> <span class="n">simplify</span><span class="p">(</span><span class="n">r</span><span class="p">)</span>
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<pre>{&#39;a&#39;: (()), &#39;c&#39;: (), &#39;b&#39;: ()} (((((((())) ()) ((()))) (())) (((())) (())))) = ()
{&#39;a&#39;: (), &#39;c&#39;: (), &#39;b&#39;: (())} (((((((())) ()) ((()))) (())) (((())) (())))) = ()
{&#39;a&#39;: (), &#39;b&#39;: ()} ((((((()) ())) (c)) ((())))) = ()
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<p>Notice that the reified form still has <code>c</code> in it but that doesn't prevent the <code>simplify()</code> function from reducing the form to the Mark. This should be the case for all solutions generated by the <code>dpll_iter()</code> function.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">solution</span> <span class="ow">in</span> <span class="n">dpll_iter</span><span class="p">(</span><span class="n">cout</span><span class="p">):</span>
<span class="nb">print</span> <span class="n">simplify</span><span class="p">(</span><span class="n">reify</span><span class="p">(</span><span class="n">cout</span><span class="p">,</span> <span class="n">solution</span><span class="p">)),</span>
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<pre>() () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () (((a5) a5)) (((a5) a5)) () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () (((a5) a5)) (((a5) a5)) () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () (((a5) a5)) (((a5) a5)) () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () () (((a5) a5)) (((a5) a5)) () ()
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<p>Interesting! Some solutions do not <code>simplify()</code> completely in one go. The form <code>(((a5) a5))</code> is Mark-valued:</p>
<pre><code>(((a5) a5))
((( ) a5))
((( ) ))
( )
()</code></pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">E</span> <span class="o">=</span> <span class="n">F</span><span class="p">(((</span><span class="n">a</span><span class="p">,),</span> <span class="n">a</span><span class="p">))</span>
<span class="nb">print</span> <span class="n">E</span>
<span class="nb">print</span> <span class="n">simplify</span><span class="p">(</span><span class="n">E</span><span class="p">)</span>
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<pre>(((a) a))
()
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<p>Something to keep in mind.</p>
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<h1 id="Now-back-to-Circuits">Now back to Circuits<a class="anchor-link" href="#Now-back-to-Circuits">&#182;</a></h1><h2 id="Using-the-Adder-Circuits-to-Add">Using the Adder Circuits to Add<a class="anchor-link" href="#Using-the-Adder-Circuits-to-Add">&#182;</a></h2><p>In order to keep things tractable I'm going to use just four bits rather than eight.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">sum0</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a0&#39;</span><span class="p">,</span> <span class="s1">&#39;b0&#39;</span><span class="p">,</span> <span class="s1">&#39;Cin&#39;</span><span class="p">)</span>
<span class="n">sum1</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a1&#39;</span><span class="p">,</span> <span class="s1">&#39;b1&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum2</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a2&#39;</span><span class="p">,</span> <span class="s1">&#39;b2&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum3</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a3&#39;</span><span class="p">,</span> <span class="s1">&#39;b3&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
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<p>Put the circuit expressions into a handy dictionary, and we are ready to add some numbers.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">CIRCUITS</span> <span class="o">=</span> <span class="p">{</span>
<span class="s1">&#39;sum0&#39;</span><span class="p">:</span> <span class="n">sum0</span><span class="p">,</span>
<span class="s1">&#39;sum1&#39;</span><span class="p">:</span> <span class="n">sum1</span><span class="p">,</span>
<span class="s1">&#39;sum2&#39;</span><span class="p">:</span> <span class="n">sum2</span><span class="p">,</span>
<span class="s1">&#39;sum3&#39;</span><span class="p">:</span> <span class="n">sum3</span><span class="p">,</span>
<span class="s1">&#39;cout&#39;</span><span class="p">:</span> <span class="n">cout</span><span class="p">,</span>
<span class="p">}</span>
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<p>A bunch of crufty junk to print out a nice truth table with the columns arranged to make it (relatively) easy to see the addition.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">stringy_env</span><span class="p">(</span><span class="n">env</span><span class="p">):</span>
<span class="k">return</span> <span class="p">{</span>
<span class="n">k</span><span class="p">:</span> <span class="n">value_of</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">v</span><span class="o">=</span><span class="s1">&#39;--&#39;</span><span class="p">,</span> <span class="n">m</span><span class="o">=</span><span class="s1">&#39;()&#39;</span><span class="p">)</span>
<span class="k">for</span> <span class="n">k</span><span class="p">,</span> <span class="n">e</span> <span class="ow">in</span> <span class="n">env</span><span class="o">.</span><span class="n">items</span><span class="p">()</span>
<span class="p">}</span>
<span class="n">INPUTs</span> <span class="o">=</span> <span class="p">(</span><span class="s1">&#39;Cin&#39;</span><span class="p">,</span> <span class="s1">&#39;a3&#39;</span><span class="p">,</span> <span class="s1">&#39;a2&#39;</span><span class="p">,</span> <span class="s1">&#39;a1&#39;</span><span class="p">,</span> <span class="s1">&#39;a0&#39;</span><span class="p">,</span> <span class="s1">&#39;b3&#39;</span><span class="p">,</span> <span class="s1">&#39;b2&#39;</span><span class="p">,</span> <span class="s1">&#39;b1&#39;</span><span class="p">,</span> <span class="s1">&#39;b0&#39;</span><span class="p">)</span>
<span class="n">OUTPUTs</span> <span class="o">=</span> <span class="p">(</span><span class="s1">&#39;cout&#39;</span><span class="p">,</span> <span class="s1">&#39;sum3&#39;</span><span class="p">,</span> <span class="s1">&#39;sum2&#39;</span><span class="p">,</span> <span class="s1">&#39;sum1&#39;</span><span class="p">,</span> <span class="s1">&#39;sum0&#39;</span><span class="p">)</span>
<span class="n">format_string</span> <span class="o">=</span> <span class="s1">&#39;%(&#39;</span> <span class="o">+</span> <span class="s1">&#39;)s %(&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">INPUTs</span><span class="p">)</span> <span class="o">+</span> <span class="s1">&#39;)s | %(&#39;</span> <span class="o">+</span> <span class="s1">&#39;)s %(&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">OUTPUTs</span><span class="p">)</span> <span class="o">+</span> <span class="s1">&#39;)s&#39;</span>
<span class="nb">print</span> <span class="s1">&#39;Ci|a3 a2 a1 a0|b3 b2 b1 b0 | Co s3 s2 s1 s0&#39;</span>
<span class="n">results</span> <span class="o">=</span> <span class="p">{}</span>
<span class="k">for</span> <span class="n">env</span> <span class="ow">in</span> <span class="n">environments_of_variables</span><span class="p">(</span><span class="o">*</span><span class="n">INPUTs</span><span class="p">):</span>
<span class="k">for</span> <span class="n">name</span><span class="p">,</span> <span class="n">expression</span> <span class="ow">in</span> <span class="n">CIRCUITS</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="n">results</span><span class="p">[</span><span class="n">name</span><span class="p">]</span> <span class="o">=</span> <span class="n">value_of</span><span class="p">(</span><span class="n">reify</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">env</span><span class="p">))</span>
<span class="n">env</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">results</span><span class="p">)</span>
<span class="nb">print</span> <span class="n">format_string</span> <span class="o">%</span> <span class="n">stringy_env</span><span class="p">(</span><span class="n">env</span><span class="p">)</span>
</pre></div>
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<pre>Ci|a3 a2 a1 a0|b3 b2 b1 b0 | Co s3 s2 s1 s0
-- -- -- -- -- -- -- -- -- | -- -- -- -- --
-- -- -- -- -- -- -- -- () | -- -- -- -- ()
-- -- -- -- -- -- -- () -- | -- -- -- () --
-- -- -- -- -- -- -- () () | -- -- -- () ()
-- -- -- -- -- -- () -- -- | -- -- () -- --
-- -- -- -- -- -- () -- () | -- -- () -- ()
-- -- -- -- -- -- () () -- | -- -- () () --
-- -- -- -- -- -- () () () | -- -- () () ()
-- -- -- -- -- () -- -- -- | -- () -- -- --
-- -- -- -- -- () -- -- () | -- () -- -- ()
-- -- -- -- -- () -- () -- | -- () -- () --
-- -- -- -- -- () -- () () | -- () -- () ()
-- -- -- -- -- () () -- -- | -- () () -- --
-- -- -- -- -- () () -- () | -- () () -- ()
-- -- -- -- -- () () () -- | -- () () () --
-- -- -- -- -- () () () () | -- () () () ()
-- -- -- -- () -- -- -- -- | -- -- -- -- ()
-- -- -- -- () -- -- -- () | -- -- -- () --
-- -- -- -- () -- -- () -- | -- -- -- () ()
-- -- -- -- () -- -- () () | -- -- () -- --
-- -- -- -- () -- () -- -- | -- -- () -- ()
-- -- -- -- () -- () -- () | -- -- () () --
-- -- -- -- () -- () () -- | -- -- () () ()
-- -- -- -- () -- () () () | -- () -- -- --
-- -- -- -- () () -- -- -- | -- () -- -- ()
-- -- -- -- () () -- -- () | -- () -- () --
-- -- -- -- () () -- () -- | -- () -- () ()
-- -- -- -- () () -- () () | -- () () -- --
-- -- -- -- () () () -- -- | -- () () -- ()
-- -- -- -- () () () -- () | -- () () () --
-- -- -- -- () () () () -- | -- () () () ()
-- -- -- -- () () () () () | () -- -- -- --
-- -- -- () -- -- -- -- -- | -- -- -- () --
-- -- -- () -- -- -- -- () | -- -- -- () ()
-- -- -- () -- -- -- () -- | -- -- () -- --
-- -- -- () -- -- -- () () | -- -- () -- ()
-- -- -- () -- -- () -- -- | -- -- () () --
-- -- -- () -- -- () -- () | -- -- () () ()
-- -- -- () -- -- () () -- | -- () -- -- --
-- -- -- () -- -- () () () | -- () -- -- ()
-- -- -- () -- () -- -- -- | -- () -- () --
-- -- -- () -- () -- -- () | -- () -- () ()
-- -- -- () -- () -- () -- | -- () () -- --
-- -- -- () -- () -- () () | -- () () -- ()
-- -- -- () -- () () -- -- | -- () () () --
-- -- -- () -- () () -- () | -- () () () ()
-- -- -- () -- () () () -- | () -- -- -- --
-- -- -- () -- () () () () | () -- -- -- ()
-- -- -- () () -- -- -- -- | -- -- -- () ()
-- -- -- () () -- -- -- () | -- -- () -- --
-- -- -- () () -- -- () -- | -- -- () -- ()
-- -- -- () () -- -- () () | -- -- () () --
-- -- -- () () -- () -- -- | -- -- () () ()
-- -- -- () () -- () -- () | -- () -- -- --
-- -- -- () () -- () () -- | -- () -- -- ()
-- -- -- () () -- () () () | -- () -- () --
-- -- -- () () () -- -- -- | -- () -- () ()
-- -- -- () () () -- -- () | -- () () -- --
-- -- -- () () () -- () -- | -- () () -- ()
-- -- -- () () () -- () () | -- () () () --
-- -- -- () () () () -- -- | -- () () () ()
-- -- -- () () () () -- () | () -- -- -- --
-- -- -- () () () () () -- | () -- -- -- ()
-- -- -- () () () () () () | () -- -- () --
-- -- () -- -- -- -- -- -- | -- -- () -- --
-- -- () -- -- -- -- -- () | -- -- () -- ()
-- -- () -- -- -- -- () -- | -- -- () () --
-- -- () -- -- -- -- () () | -- -- () () ()
-- -- () -- -- -- () -- -- | -- () -- -- --
-- -- () -- -- -- () -- () | -- () -- -- ()
-- -- () -- -- -- () () -- | -- () -- () --
-- -- () -- -- -- () () () | -- () -- () ()
-- -- () -- -- () -- -- -- | -- () () -- --
-- -- () -- -- () -- -- () | -- () () -- ()
-- -- () -- -- () -- () -- | -- () () () --
-- -- () -- -- () -- () () | -- () () () ()
-- -- () -- -- () () -- -- | () -- -- -- --
-- -- () -- -- () () -- () | () -- -- -- ()
-- -- () -- -- () () () -- | () -- -- () --
-- -- () -- -- () () () () | () -- -- () ()
-- -- () -- () -- -- -- -- | -- -- () -- ()
-- -- () -- () -- -- -- () | -- -- () () --
-- -- () -- () -- -- () -- | -- -- () () ()
-- -- () -- () -- -- () () | -- () -- -- --
-- -- () -- () -- () -- -- | -- () -- -- ()
-- -- () -- () -- () -- () | -- () -- () --
-- -- () -- () -- () () -- | -- () -- () ()
-- -- () -- () -- () () () | -- () () -- --
-- -- () -- () () -- -- -- | -- () () -- ()
-- -- () -- () () -- -- () | -- () () () --
-- -- () -- () () -- () -- | -- () () () ()
-- -- () -- () () -- () () | () -- -- -- --
-- -- () -- () () () -- -- | () -- -- -- ()
-- -- () -- () () () -- () | () -- -- () --
-- -- () -- () () () () -- | () -- -- () ()
-- -- () -- () () () () () | () -- () -- --
-- -- () () -- -- -- -- -- | -- -- () () --
-- -- () () -- -- -- -- () | -- -- () () ()
-- -- () () -- -- -- () -- | -- () -- -- --
-- -- () () -- -- -- () () | -- () -- -- ()
-- -- () () -- -- () -- -- | -- () -- () --
-- -- () () -- -- () -- () | -- () -- () ()
-- -- () () -- -- () () -- | -- () () -- --
-- -- () () -- -- () () () | -- () () -- ()
-- -- () () -- () -- -- -- | -- () () () --
-- -- () () -- () -- -- () | -- () () () ()
-- -- () () -- () -- () -- | () -- -- -- --
-- -- () () -- () -- () () | () -- -- -- ()
-- -- () () -- () () -- -- | () -- -- () --
-- -- () () -- () () -- () | () -- -- () ()
-- -- () () -- () () () -- | () -- () -- --
-- -- () () -- () () () () | () -- () -- ()
-- -- () () () -- -- -- -- | -- -- () () ()
-- -- () () () -- -- -- () | -- () -- -- --
-- -- () () () -- -- () -- | -- () -- -- ()
-- -- () () () -- -- () () | -- () -- () --
-- -- () () () -- () -- -- | -- () -- () ()
-- -- () () () -- () -- () | -- () () -- --
-- -- () () () -- () () -- | -- () () -- ()
-- -- () () () -- () () () | -- () () () --
-- -- () () () () -- -- -- | -- () () () ()
-- -- () () () () -- -- () | () -- -- -- --
-- -- () () () () -- () -- | () -- -- -- ()
-- -- () () () () -- () () | () -- -- () --
-- -- () () () () () -- -- | () -- -- () ()
-- -- () () () () () -- () | () -- () -- --
-- -- () () () () () () -- | () -- () -- ()
-- -- () () () () () () () | () -- () () --
-- () -- -- -- -- -- -- -- | -- () -- -- --
-- () -- -- -- -- -- -- () | -- () -- -- ()
-- () -- -- -- -- -- () -- | -- () -- () --
-- () -- -- -- -- -- () () | -- () -- () ()
-- () -- -- -- -- () -- -- | -- () () -- --
-- () -- -- -- -- () -- () | -- () () -- ()
-- () -- -- -- -- () () -- | -- () () () --
-- () -- -- -- -- () () () | -- () () () ()
-- () -- -- -- () -- -- -- | () -- -- -- --
-- () -- -- -- () -- -- () | () -- -- -- ()
-- () -- -- -- () -- () -- | () -- -- () --
-- () -- -- -- () -- () () | () -- -- () ()
-- () -- -- -- () () -- -- | () -- () -- --
-- () -- -- -- () () -- () | () -- () -- ()
-- () -- -- -- () () () -- | () -- () () --
-- () -- -- -- () () () () | () -- () () ()
-- () -- -- () -- -- -- -- | -- () -- -- ()
-- () -- -- () -- -- -- () | -- () -- () --
-- () -- -- () -- -- () -- | -- () -- () ()
-- () -- -- () -- -- () () | -- () () -- --
-- () -- -- () -- () -- -- | -- () () -- ()
-- () -- -- () -- () -- () | -- () () () --
-- () -- -- () -- () () -- | -- () () () ()
-- () -- -- () -- () () () | () -- -- -- --
-- () -- -- () () -- -- -- | () -- -- -- ()
-- () -- -- () () -- -- () | () -- -- () --
-- () -- -- () () -- () -- | () -- -- () ()
-- () -- -- () () -- () () | () -- () -- --
-- () -- -- () () () -- -- | () -- () -- ()
-- () -- -- () () () -- () | () -- () () --
-- () -- -- () () () () -- | () -- () () ()
-- () -- -- () () () () () | () () -- -- --
-- () -- () -- -- -- -- -- | -- () -- () --
-- () -- () -- -- -- -- () | -- () -- () ()
-- () -- () -- -- -- () -- | -- () () -- --
-- () -- () -- -- -- () () | -- () () -- ()
-- () -- () -- -- () -- -- | -- () () () --
-- () -- () -- -- () -- () | -- () () () ()
-- () -- () -- -- () () -- | () -- -- -- --
-- () -- () -- -- () () () | () -- -- -- ()
-- () -- () -- () -- -- -- | () -- -- () --
-- () -- () -- () -- -- () | () -- -- () ()
-- () -- () -- () -- () -- | () -- () -- --
-- () -- () -- () -- () () | () -- () -- ()
-- () -- () -- () () -- -- | () -- () () --
-- () -- () -- () () -- () | () -- () () ()
-- () -- () -- () () () -- | () () -- -- --
-- () -- () -- () () () () | () () -- -- ()
-- () -- () () -- -- -- -- | -- () -- () ()
-- () -- () () -- -- -- () | -- () () -- --
-- () -- () () -- -- () -- | -- () () -- ()
-- () -- () () -- -- () () | -- () () () --
-- () -- () () -- () -- -- | -- () () () ()
-- () -- () () -- () -- () | () -- -- -- --
-- () -- () () -- () () -- | () -- -- -- ()
-- () -- () () -- () () () | () -- -- () --
-- () -- () () () -- -- -- | () -- -- () ()
-- () -- () () () -- -- () | () -- () -- --
-- () -- () () () -- () -- | () -- () -- ()
-- () -- () () () -- () () | () -- () () --
-- () -- () () () () -- -- | () -- () () ()
-- () -- () () () () -- () | () () -- -- --
-- () -- () () () () () -- | () () -- -- ()
-- () -- () () () () () () | () () -- () --
-- () () -- -- -- -- -- -- | -- () () -- --
-- () () -- -- -- -- -- () | -- () () -- ()
-- () () -- -- -- -- () -- | -- () () () --
-- () () -- -- -- -- () () | -- () () () ()
-- () () -- -- -- () -- -- | () -- -- -- --
-- () () -- -- -- () -- () | () -- -- -- ()
-- () () -- -- -- () () -- | () -- -- () --
-- () () -- -- -- () () () | () -- -- () ()
-- () () -- -- () -- -- -- | () -- () -- --
-- () () -- -- () -- -- () | () -- () -- ()
-- () () -- -- () -- () -- | () -- () () --
-- () () -- -- () -- () () | () -- () () ()
-- () () -- -- () () -- -- | () () -- -- --
-- () () -- -- () () -- () | () () -- -- ()
-- () () -- -- () () () -- | () () -- () --
-- () () -- -- () () () () | () () -- () ()
-- () () -- () -- -- -- -- | -- () () -- ()
-- () () -- () -- -- -- () | -- () () () --
-- () () -- () -- -- () -- | -- () () () ()
-- () () -- () -- -- () () | () -- -- -- --
-- () () -- () -- () -- -- | () -- -- -- ()
-- () () -- () -- () -- () | () -- -- () --
-- () () -- () -- () () -- | () -- -- () ()
-- () () -- () -- () () () | () -- () -- --
-- () () -- () () -- -- -- | () -- () -- ()
-- () () -- () () -- -- () | () -- () () --
-- () () -- () () -- () -- | () -- () () ()
-- () () -- () () -- () () | () () -- -- --
-- () () -- () () () -- -- | () () -- -- ()
-- () () -- () () () -- () | () () -- () --
-- () () -- () () () () -- | () () -- () ()
-- () () -- () () () () () | () () () -- --
-- () () () -- -- -- -- -- | -- () () () --
-- () () () -- -- -- -- () | -- () () () ()
-- () () () -- -- -- () -- | () -- -- -- --
-- () () () -- -- -- () () | () -- -- -- ()
-- () () () -- -- () -- -- | () -- -- () --
-- () () () -- -- () -- () | () -- -- () ()
-- () () () -- -- () () -- | () -- () -- --
-- () () () -- -- () () () | () -- () -- ()
-- () () () -- () -- -- -- | () -- () () --
-- () () () -- () -- -- () | () -- () () ()
-- () () () -- () -- () -- | () () -- -- --
-- () () () -- () -- () () | () () -- -- ()
-- () () () -- () () -- -- | () () -- () --
-- () () () -- () () -- () | () () -- () ()
-- () () () -- () () () -- | () () () -- --
-- () () () -- () () () () | () () () -- ()
-- () () () () -- -- -- -- | -- () () () ()
-- () () () () -- -- -- () | () -- -- -- --
-- () () () () -- -- () -- | () -- -- -- ()
-- () () () () -- -- () () | () -- -- () --
-- () () () () -- () -- -- | () -- -- () ()
-- () () () () -- () -- () | () -- () -- --
-- () () () () -- () () -- | () -- () -- ()
-- () () () () -- () () () | () -- () () --
-- () () () () () -- -- -- | () -- () () ()
-- () () () () () -- -- () | () () -- -- --
-- () () () () () -- () -- | () () -- -- ()
-- () () () () () -- () () | () () -- () --
-- () () () () () () -- -- | () () -- () ()
-- () () () () () () -- () | () () () -- --
-- () () () () () () () -- | () () () -- ()
-- () () () () () () () () | () () () () --
() -- -- -- -- -- -- -- -- | -- -- -- -- ()
() -- -- -- -- -- -- -- () | -- -- -- () --
() -- -- -- -- -- -- () -- | -- -- -- () ()
() -- -- -- -- -- -- () () | -- -- () -- --
() -- -- -- -- -- () -- -- | -- -- () -- ()
() -- -- -- -- -- () -- () | -- -- () () --
() -- -- -- -- -- () () -- | -- -- () () ()
() -- -- -- -- -- () () () | -- () -- -- --
() -- -- -- -- () -- -- -- | -- () -- -- ()
() -- -- -- -- () -- -- () | -- () -- () --
() -- -- -- -- () -- () -- | -- () -- () ()
() -- -- -- -- () -- () () | -- () () -- --
() -- -- -- -- () () -- -- | -- () () -- ()
() -- -- -- -- () () -- () | -- () () () --
() -- -- -- -- () () () -- | -- () () () ()
() -- -- -- -- () () () () | () -- -- -- --
() -- -- -- () -- -- -- -- | -- -- -- () --
() -- -- -- () -- -- -- () | -- -- -- () ()
() -- -- -- () -- -- () -- | -- -- () -- --
() -- -- -- () -- -- () () | -- -- () -- ()
() -- -- -- () -- () -- -- | -- -- () () --
() -- -- -- () -- () -- () | -- -- () () ()
() -- -- -- () -- () () -- | -- () -- -- --
() -- -- -- () -- () () () | -- () -- -- ()
() -- -- -- () () -- -- -- | -- () -- () --
() -- -- -- () () -- -- () | -- () -- () ()
() -- -- -- () () -- () -- | -- () () -- --
() -- -- -- () () -- () () | -- () () -- ()
() -- -- -- () () () -- -- | -- () () () --
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() () () -- -- -- () -- () | () -- -- () --
() () () -- -- -- () () -- | () -- -- () ()
() () () -- -- -- () () () | () -- () -- --
() () () -- -- () -- -- -- | () -- () -- ()
() () () -- -- () -- -- () | () -- () () --
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() () () -- -- () () () () | () () () -- --
() () () -- () -- -- -- -- | -- () () () --
() () () -- () -- -- -- () | -- () () () ()
() () () -- () -- -- () -- | () -- -- -- --
() () () -- () -- -- () () | () -- -- -- ()
() () () -- () -- () -- -- | () -- -- () --
() () () -- () -- () -- () | () -- -- () ()
() () () -- () -- () () -- | () -- () -- --
() () () -- () -- () () () | () -- () -- ()
() () () -- () () -- -- -- | () -- () () --
() () () -- () () -- -- () | () -- () () ()
() () () -- () () -- () -- | () () -- -- --
() () () -- () () -- () () | () () -- -- ()
() () () -- () () () -- -- | () () -- () --
() () () -- () () () -- () | () () -- () ()
() () () -- () () () () -- | () () () -- --
() () () -- () () () () () | () () () -- ()
() () () () -- -- -- -- -- | -- () () () ()
() () () () -- -- -- -- () | () -- -- -- --
() () () () -- -- -- () -- | () -- -- -- ()
() () () () -- -- -- () () | () -- -- () --
() () () () -- -- () -- -- | () -- -- () ()
() () () () -- -- () -- () | () -- () -- --
() () () () -- -- () () -- | () -- () -- ()
() () () () -- -- () () () | () -- () () --
() () () () -- () -- -- -- | () -- () () ()
() () () () -- () -- -- () | () () -- -- --
() () () () -- () -- () -- | () () -- -- ()
() () () () -- () -- () () | () () -- () --
() () () () -- () () -- -- | () () -- () ()
() () () () -- () () -- () | () () () -- --
() () () () -- () () () -- | () () () -- ()
() () () () -- () () () () | () () () () --
() () () () () -- -- -- -- | () -- -- -- --
() () () () () -- -- -- () | () -- -- -- ()
() () () () () -- -- () -- | () -- -- () --
() () () () () -- -- () () | () -- -- () ()
() () () () () -- () -- -- | () -- () -- --
() () () () () -- () -- () | () -- () -- ()
() () () () () -- () () -- | () -- () () --
() () () () () -- () () () | () -- () () ()
() () () () () () -- -- -- | () () -- -- --
() () () () () () -- -- () | () () -- -- ()
() () () () () () -- () -- | () () -- () --
() () () () () () -- () () | () () -- () ()
() () () () () () () -- -- | () () () -- --
() () () () () () () -- () | () () () -- ()
() () () () () () () () -- | () () () () --
() () () () () () () () () | () () () () ()
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<h1 id="A-Model-of-Computation.">A Model of Computation.<a class="anchor-link" href="#A-Model-of-Computation.">&#182;</a></h1><p>That was a bit steep, let's formalize it and make it a little easier to work with.</p>
<p>First let's have a <em>register</em> of named values:</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">R</span> <span class="o">=</span> <span class="p">{</span><span class="n">name</span><span class="p">:</span> <span class="n">Void</span> <span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="s1">&#39;Cin a3 a2 a1 a0 b3 b2 b1 b0 Cout&#39;</span><span class="o">.</span><span class="n">split</span><span class="p">()}</span>
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<p>Let's have a <em>program</em> of named expressions that give new values when evaluated in terms of the current values in <strong>R</strong> (this is just the same <code>CIRCUITS</code>, but feeding back the results into the "b" bits):</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">P</span> <span class="o">=</span> <span class="p">{</span>
<span class="s1">&#39;b0&#39;</span><span class="p">:</span> <span class="n">sum0</span><span class="p">,</span>
<span class="s1">&#39;b1&#39;</span><span class="p">:</span> <span class="n">sum1</span><span class="p">,</span>
<span class="s1">&#39;b2&#39;</span><span class="p">:</span> <span class="n">sum2</span><span class="p">,</span>
<span class="s1">&#39;b3&#39;</span><span class="p">:</span> <span class="n">sum3</span><span class="p">,</span>
<span class="s1">&#39;Cout&#39;</span><span class="p">:</span> <span class="n">cout</span><span class="p">,</span>
<span class="p">}</span>
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<p>One <em>cycle</em> of the machine means to evaluate each named expression in the program with the current values in the register.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">make_reify_reducer</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">env</span><span class="p">:</span> <span class="k">lambda</span> <span class="n">form</span><span class="p">:</span> <span class="n">value_of</span><span class="p">(</span><span class="n">reify</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">env</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">cycle</span><span class="p">(</span><span class="n">program</span><span class="p">,</span> <span class="n">register</span><span class="p">):</span>
<span class="n">rr</span> <span class="o">=</span> <span class="n">make_reify_reducer</span><span class="p">(</span><span class="n">register</span><span class="p">)</span>
<span class="k">return</span> <span class="p">{</span><span class="n">bit</span><span class="p">:</span> <span class="n">rr</span><span class="p">(</span><span class="n">expression</span><span class="p">)</span> <span class="k">for</span> <span class="n">bit</span><span class="p">,</span> <span class="n">expression</span> <span class="ow">in</span> <span class="n">program</span><span class="o">.</span><span class="n">iteritems</span><span class="p">()}</span>
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<p>With all the register values at "zero" (Void) nothing happens.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">R</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">cycle</span><span class="p">(</span><span class="n">P</span><span class="p">,</span> <span class="n">R</span><span class="p">))</span>
<span class="n">R</span>
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<pre>{&#39;Cin&#39;: (()),
&#39;Cout&#39;: (()),
&#39;a0&#39;: (()),
&#39;a1&#39;: (()),
&#39;a2&#39;: (()),
&#39;a3&#39;: (()),
&#39;b0&#39;: (()),
&#39;b1&#39;: (()),
&#39;b2&#39;: (()),
&#39;b3&#39;: (())}</pre>
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<p>Let's make a nice display function to inspect our little adder computer.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">show_as_int</span><span class="p">(</span><span class="o">*</span><span class="n">names</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;</span>
<span class="sd"> Return a function that converts a sequence of</span>
<span class="sd"> named bits (as Void/Mark values) into a integer.</span>
<span class="sd"> &#39;&#39;&#39;</span>
<span class="k">def</span> <span class="nf">inner</span><span class="p">(</span><span class="n">register</span><span class="p">):</span>
<span class="n">i</span><span class="p">,</span> <span class="n">n</span> <span class="o">=</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span>
<span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="n">names</span><span class="p">:</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">register</span><span class="p">[</span><span class="n">name</span><span class="p">]:</span>
<span class="n">i</span> <span class="o">+=</span> <span class="n">n</span>
<span class="n">n</span> <span class="o">&lt;&lt;=</span> <span class="mi">1</span>
<span class="k">return</span> <span class="n">i</span>
<span class="k">return</span> <span class="n">inner</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">a_register</span> <span class="o">=</span> <span class="n">show_as_int</span><span class="p">(</span><span class="s1">&#39;a0&#39;</span><span class="p">,</span> <span class="s1">&#39;a1&#39;</span><span class="p">,</span> <span class="s1">&#39;a2&#39;</span><span class="p">,</span> <span class="s1">&#39;a3&#39;</span><span class="p">)</span>
<span class="n">b_register</span> <span class="o">=</span> <span class="n">show_as_int</span><span class="p">(</span><span class="s1">&#39;b0&#39;</span><span class="p">,</span> <span class="s1">&#39;b1&#39;</span><span class="p">,</span> <span class="s1">&#39;b2&#39;</span><span class="p">,</span> <span class="s1">&#39;b3&#39;</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">show_computer_state</span><span class="p">(</span><span class="n">R</span><span class="p">):</span>
<span class="nb">print</span> <span class="s1">&#39;a: </span><span class="si">%-3i</span><span class="s1"> b: </span><span class="si">%-3i</span><span class="s1"> Cin: </span><span class="si">%-3i</span><span class="s1"> Cout: </span><span class="si">%-3i</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="p">(</span>
<span class="n">a_register</span><span class="p">(</span><span class="n">R</span><span class="p">),</span>
<span class="n">b_register</span><span class="p">(</span><span class="n">R</span><span class="p">),</span>
<span class="nb">int</span><span class="p">(</span><span class="ow">not</span> <span class="n">R</span><span class="p">[</span><span class="s1">&#39;Cin&#39;</span><span class="p">]),</span>
<span class="nb">int</span><span class="p">(</span><span class="ow">not</span> <span class="n">R</span><span class="p">[</span><span class="s1">&#39;Cout&#39;</span><span class="p">]),</span>
<span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">show_computer_state</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
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<pre>a: 0 b: 0 Cin: 0 Cout: 0
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<p>Let's set one bit to true (Mark-valued in the chosen convention. We could have Void be true but we would have to form the circuit expressions differently.)</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">R</span><span class="p">[</span><span class="s1">&#39;a0&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">Mark</span>
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<p>Now let's count to twenty.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">20</span><span class="p">):</span>
<span class="n">show_computer_state</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
<span class="n">R</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">cycle</span><span class="p">(</span><span class="n">P</span><span class="p">,</span> <span class="n">R</span><span class="p">))</span>
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<pre>a: 1 b: 0 Cin: 0 Cout: 0
a: 1 b: 1 Cin: 0 Cout: 0
a: 1 b: 2 Cin: 0 Cout: 0
a: 1 b: 3 Cin: 0 Cout: 0
a: 1 b: 4 Cin: 0 Cout: 0
a: 1 b: 5 Cin: 0 Cout: 0
a: 1 b: 6 Cin: 0 Cout: 0
a: 1 b: 7 Cin: 0 Cout: 0
a: 1 b: 8 Cin: 0 Cout: 0
a: 1 b: 9 Cin: 0 Cout: 0
a: 1 b: 10 Cin: 0 Cout: 0
a: 1 b: 11 Cin: 0 Cout: 0
a: 1 b: 12 Cin: 0 Cout: 0
a: 1 b: 13 Cin: 0 Cout: 0
a: 1 b: 14 Cin: 0 Cout: 0
a: 1 b: 15 Cin: 0 Cout: 0
a: 1 b: 0 Cin: 0 Cout: 1
a: 1 b: 1 Cin: 0 Cout: 0
a: 1 b: 2 Cin: 0 Cout: 0
a: 1 b: 3 Cin: 0 Cout: 0
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<p>You can see that at the sixteenth step the "Cout" carry bit is true and the count cycles back to zero.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="c1"># Reset the register.</span>
<span class="n">R</span> <span class="o">=</span> <span class="p">{</span><span class="n">name</span><span class="p">:</span> <span class="n">Void</span> <span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="s1">&#39;Cin a3 a2 a1 a0 b3 b2 b1 b0 Cout&#39;</span><span class="o">.</span><span class="n">split</span><span class="p">()}</span>
<span class="c1"># Count by three.</span>
<span class="n">R</span><span class="p">[</span><span class="s1">&#39;a0&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">R</span><span class="p">[</span><span class="s1">&#39;a1&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">Mark</span>
<span class="c1"># Print out twenty cycles.</span>
<span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">20</span><span class="p">):</span>
<span class="n">show_computer_state</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
<span class="n">R</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">cycle</span><span class="p">(</span><span class="n">P</span><span class="p">,</span> <span class="n">R</span><span class="p">))</span>
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<pre>a: 3 b: 0 Cin: 0 Cout: 0
a: 3 b: 3 Cin: 0 Cout: 0
a: 3 b: 6 Cin: 0 Cout: 0
a: 3 b: 9 Cin: 0 Cout: 0
a: 3 b: 12 Cin: 0 Cout: 0
a: 3 b: 15 Cin: 0 Cout: 0
a: 3 b: 2 Cin: 0 Cout: 1
a: 3 b: 5 Cin: 0 Cout: 0
a: 3 b: 8 Cin: 0 Cout: 0
a: 3 b: 11 Cin: 0 Cout: 0
a: 3 b: 14 Cin: 0 Cout: 0
a: 3 b: 1 Cin: 0 Cout: 1
a: 3 b: 4 Cin: 0 Cout: 0
a: 3 b: 7 Cin: 0 Cout: 0
a: 3 b: 10 Cin: 0 Cout: 0
a: 3 b: 13 Cin: 0 Cout: 0
a: 3 b: 0 Cin: 0 Cout: 1
a: 3 b: 3 Cin: 0 Cout: 0
a: 3 b: 6 Cin: 0 Cout: 0
a: 3 b: 9 Cin: 0 Cout: 0
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<p>You can see that the "b" bits are indeed counting by threes: 0, 3, 6, 9, 12, 15 &amp; carry, 2, 5, 8, 11, 14 &amp; carry, 1, 4, 7, 10, 13 &amp; carry, 0, 3, 6, 9, ...</p>
<p>This is my basic model for computation: A register, a program, and a cycle function. Note that reducing the form on each cycle isn't necessary, we can run the cycles and just <code>reify()</code> without reducing and we get new circuits that define bits in terms of the register values N cycles in the past.</p>
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<h3 id="Simple-One-Dimensional-Cellular-Automaton">Simple One-Dimensional Cellular Automaton<a class="anchor-link" href="#Simple-One-Dimensional-Cellular-Automaton">&#182;</a></h3>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="c1"># Universe</span>
<span class="n">U</span> <span class="o">=</span> <span class="s1">&#39;ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz&#39;</span>
<span class="c1"># Register.</span>
<span class="n">R</span> <span class="o">=</span> <span class="p">{</span><span class="n">name</span><span class="p">:</span> <span class="n">Void</span> <span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="n">U</span><span class="p">}</span>
<span class="c1"># A program to XOR each bit with its neighbor, wrapping at the edge.</span>
<span class="n">P</span> <span class="o">=</span> <span class="p">{</span>
<span class="n">name</span><span class="p">:</span> <span class="n">xor</span><span class="p">(</span><span class="n">name</span><span class="p">,</span> <span class="n">U</span><span class="p">[(</span><span class="n">U</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="n">name</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span> <span class="o">%</span> <span class="nb">len</span><span class="p">(</span><span class="n">U</span><span class="p">)])</span>
<span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="n">U</span>
<span class="p">}</span>
<span class="k">def</span> <span class="nf">show</span><span class="p">(</span><span class="n">reg</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Simple visualization of the register.&#39;&#39;&#39;</span>
<span class="nb">print</span> <span class="s1">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="s1">&#39;.0&#39;</span><span class="p">[</span><span class="ow">not</span> <span class="n">reg</span><span class="p">[</span><span class="n">name</span><span class="p">]]</span> <span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="n">U</span><span class="p">)</span>
<span class="c1"># Set one &quot;bit&quot; in the register.</span>
<span class="n">R</span><span class="p">[</span><span class="n">U</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]]</span> <span class="o">=</span> <span class="n">Mark</span>
<span class="c1"># Run through some cycles.</span>
<span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">100</span><span class="p">):</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
<span class="n">R</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">cycle</span><span class="p">(</span><span class="n">P</span><span class="p">,</span> <span class="n">R</span><span class="p">))</span>
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<pre>...................................................0
..................................................00
.................................................0.0
................................................0000
...............................................0...0
..............................................00..00
.............................................0.0.0.0
............................................00000000
...........................................0.......0
..........................................00......00
.........................................0.0.....0.0
........................................0000....0000
.......................................0...0...0...0
......................................00..00..00..00
.....................................0.0.0.0.0.0.0.0
....................................0000000000000000
...................................0...............0
..................................00..............00
.................................0.0.............0.0
................................0000............0000
...............................0...0...........0...0
..............................00..00..........00..00
.............................0.0.0.0.........0.0.0.0
............................00000000........00000000
...........................0.......0.......0.......0
..........................00......00......00......00
.........................0.0.....0.0.....0.0.....0.0
........................0000....0000....0000....0000
.......................0...0...0...0...0...0...0...0
......................00..00..00..00..00..00..00..00
.....................0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0
....................00000000000000000000000000000000
...................0...............................0
..................00..............................00
.................0.0.............................0.0
................0000............................0000
...............0...0...........................0...0
..............00..00..........................00..00
.............0.0.0.0.........................0.0.0.0
............00000000........................00000000
...........0.......0.......................0.......0
..........00......00......................00......00
.........0.0.....0.0.....................0.0.....0.0
........0000....0000....................0000....0000
.......0...0...0...0...................0...0...0...0
......00..00..00..00..................00..00..00..00
.....0.0.0.0.0.0.0.0.................0.0.0.0.0.0.0.0
....0000000000000000................0000000000000000
...0...............0...............0...............0
..00..............00..............00..............00
.0.0.............0.0.............0.0.............0.0
0000............0000............0000............0000
...0...........0...0...........0...0...........0....
..00..........00..00..........00..00..........00....
.0.0.........0.0.0.0.........0.0.0.0.........0.0....
0000........00000000........00000000........0000....
...0.......0.......0.......0.......0.......0...0...0
..00......00......00......00......00......00..00..00
.0.0.....0.0.....0.0.....0.0.....0.0.....0.0.0.0.0.0
0000....0000....0000....0000....0000....000000000000
...0...0...0...0...0...0...0...0...0...0............
..00..00..00..00..00..00..00..00..00..00............
.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0............
0000000000000000000000000000000000000000............
.......................................0...........0
......................................00..........00
.....................................0.0.........0.0
....................................0000........0000
...................................0...0.......0...0
..................................00..00......00..00
.................................0.0.0.0.....0.0.0.0
................................00000000....00000000
...............................0.......0...0.......0
..............................00......00..00......00
.............................0.0.....0.0.0.0.....0.0
............................0000....00000000....0000
...........................0...0...0.......0...0...0
..........................00..00..00......00..00..00
.........................0.0.0.0.0.0.....0.0.0.0.0.0
........................000000000000....000000000000
.......................0...........0...0...........0
......................00..........00..00..........00
.....................0.0.........0.0.0.0.........0.0
....................0000........00000000........0000
...................0...0.......0.......0.......0...0
..................00..00......00......00......00..00
.................0.0.0.0.....0.0.....0.0.....0.0.0.0
................00000000....0000....0000....00000000
...............0.......0...0...0...0...0...0.......0
..............00......00..00..00..00..00..00......00
.............0.0.....0.0.0.0.0.0.0.0.0.0.0.0.....0.0
............0000....000000000000000000000000....0000
...........0...0...0.......................0...0...0
..........00..00..00......................00..00..00
.........0.0.0.0.0.0.....................0.0.0.0.0.0
........000000000000....................000000000000
.......0...........0...................0...........0
......00..........00..................00..........00
.....0.0.........0.0.................0.0.........0.0
....0000........0000................0000........0000
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<h3 id="A-More-Efficient-Implementation">A More Efficient Implementation<a class="anchor-link" href="#A-More-Efficient-Implementation">&#182;</a></h3><p>Before building larger "computers" I want to switch to a more efficient implementation based on a register as a <code>set</code> of names that are currently Mark-valued, and a <code>set_solve()</code> function that evaluates a form in terms of such a <code>set</code>, and assuming all other names are Void-valued.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">set_solve</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">marks</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;</span>
<span class="sd"> Given a form and a set of names that are Marks assume all other names</span>
<span class="sd"> in the form are Void and reduce to basic value (Mark or Void.)</span>
<span class="sd"> &#39;&#39;&#39;</span>
<span class="k">return</span> <span class="p">(</span>
<span class="p">(</span><span class="n">Void</span><span class="p">,</span> <span class="n">Mark</span><span class="p">)[</span><span class="n">form</span> <span class="ow">in</span> <span class="n">marks</span><span class="p">]</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">basestring</span><span class="p">)</span>
<span class="k">else</span> <span class="n">_set_solve</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">marks</span><span class="p">)</span>
<span class="p">)</span>
<span class="k">def</span> <span class="nf">_set_solve</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">marks</span><span class="p">):</span>
<span class="k">for</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">form</span><span class="p">:</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">basestring</span><span class="p">):</span>
<span class="k">if</span> <span class="n">inner</span> <span class="ow">in</span> <span class="n">marks</span><span class="p">:</span>
<span class="k">return</span> <span class="n">Void</span>
<span class="k">continue</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">_set_solve</span><span class="p">(</span><span class="n">inner</span><span class="p">,</span> <span class="n">marks</span><span class="p">):</span> <span class="c1"># Mark</span>
<span class="k">return</span> <span class="n">Void</span>
<span class="k">return</span> <span class="n">Mark</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">A</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="p">(</span><span class="n">c</span><span class="p">,)))</span>
<span class="nb">print</span> <span class="n">A</span>
<span class="nb">print</span> <span class="n">set_solve</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="p">{</span><span class="n">a</span><span class="p">})</span>
<span class="nb">print</span> <span class="n">set_solve</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="p">{</span><span class="n">b</span><span class="p">})</span>
<span class="nb">print</span> <span class="n">set_solve</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="p">{</span><span class="n">c</span><span class="p">})</span>
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<pre>(((c) b) a)
(())
()
(())
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<p>To calculate the new R first collect all the names in R that are not mentioned in P (and so cannot be
set to Void by it) then add the names evaluated by solving P's expressions with the marks in R.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">):</span>
<span class="k">return</span> <span class="n">R</span><span class="o">.</span><span class="n">difference</span><span class="p">(</span><span class="n">P</span><span class="p">)</span><span class="o">.</span><span class="n">union</span><span class="p">(</span>
<span class="n">signal</span>
<span class="k">for</span> <span class="n">signal</span><span class="p">,</span> <span class="n">expression</span> <span class="ow">in</span> <span class="n">P</span><span class="o">.</span><span class="n">iteritems</span><span class="p">()</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">set_solve</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">R</span><span class="p">)</span>
<span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="c1"># Universe</span>
<span class="n">U</span> <span class="o">=</span> <span class="s1">&#39;ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz&#39;</span>
<span class="c1"># Register.</span>
<span class="n">R</span> <span class="o">=</span> <span class="p">{</span><span class="n">U</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]}</span>
<span class="c1"># A program to XOR each bit with its neighbor, wrapping at the edge.</span>
<span class="n">P</span> <span class="o">=</span> <span class="p">{</span>
<span class="n">name</span><span class="p">:</span> <span class="n">xor</span><span class="p">(</span><span class="n">name</span><span class="p">,</span> <span class="n">U</span><span class="p">[(</span><span class="n">U</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="n">name</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span> <span class="o">%</span> <span class="nb">len</span><span class="p">(</span><span class="n">U</span><span class="p">)])</span>
<span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="n">U</span>
<span class="p">}</span>
<span class="k">def</span> <span class="nf">show</span><span class="p">(</span><span class="n">reg</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Simple visualization of the register.&#39;&#39;&#39;</span>
<span class="nb">print</span> <span class="s1">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="s1">&#39;.0&#39;</span><span class="p">[</span><span class="n">name</span> <span class="ow">in</span> <span class="n">reg</span><span class="p">]</span> <span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="n">U</span><span class="p">)</span>
<span class="c1"># Run through some cycles.</span>
<span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">100</span><span class="p">):</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
<span class="n">R</span> <span class="o">=</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
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<pre>...................................................0
..................................................00
.................................................0.0
................................................0000
...............................................0...0
..............................................00..00
.............................................0.0.0.0
............................................00000000
...........................................0.......0
..........................................00......00
.........................................0.0.....0.0
........................................0000....0000
.......................................0...0...0...0
......................................00..00..00..00
.....................................0.0.0.0.0.0.0.0
....................................0000000000000000
...................................0...............0
..................................00..............00
.................................0.0.............0.0
................................0000............0000
...............................0...0...........0...0
..............................00..00..........00..00
.............................0.0.0.0.........0.0.0.0
............................00000000........00000000
...........................0.......0.......0.......0
..........................00......00......00......00
.........................0.0.....0.0.....0.0.....0.0
........................0000....0000....0000....0000
.......................0...0...0...0...0...0...0...0
......................00..00..00..00..00..00..00..00
.....................0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0
....................00000000000000000000000000000000
...................0...............................0
..................00..............................00
.................0.0.............................0.0
................0000............................0000
...............0...0...........................0...0
..............00..00..........................00..00
.............0.0.0.0.........................0.0.0.0
............00000000........................00000000
...........0.......0.......................0.......0
..........00......00......................00......00
.........0.0.....0.0.....................0.0.....0.0
........0000....0000....................0000....0000
.......0...0...0...0...................0...0...0...0
......00..00..00..00..................00..00..00..00
.....0.0.0.0.0.0.0.0.................0.0.0.0.0.0.0.0
....0000000000000000................0000000000000000
...0...............0...............0...............0
..00..............00..............00..............00
.0.0.............0.0.............0.0.............0.0
0000............0000............0000............0000
...0...........0...0...........0...0...........0....
..00..........00..00..........00..00..........00....
.0.0.........0.0.0.0.........0.0.0.0.........0.0....
0000........00000000........00000000........0000....
...0.......0.......0.......0.......0.......0...0...0
..00......00......00......00......00......00..00..00
.0.0.....0.0.....0.0.....0.0.....0.0.....0.0.0.0.0.0
0000....0000....0000....0000....0000....000000000000
...0...0...0...0...0...0...0...0...0...0............
..00..00..00..00..00..00..00..00..00..00............
.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0............
0000000000000000000000000000000000000000............
.......................................0...........0
......................................00..........00
.....................................0.0.........0.0
....................................0000........0000
...................................0...0.......0...0
..................................00..00......00..00
.................................0.0.0.0.....0.0.0.0
................................00000000....00000000
...............................0.......0...0.......0
..............................00......00..00......00
.............................0.0.....0.0.0.0.....0.0
............................0000....00000000....0000
...........................0...0...0.......0...0...0
..........................00..00..00......00..00..00
.........................0.0.0.0.0.0.....0.0.0.0.0.0
........................000000000000....000000000000
.......................0...........0...0...........0
......................00..........00..00..........00
.....................0.0.........0.0.0.0.........0.0
....................0000........00000000........0000
...................0...0.......0.......0.......0...0
..................00..00......00......00......00..00
.................0.0.0.0.....0.0.....0.0.....0.0.0.0
................00000000....0000....0000....00000000
...............0.......0...0...0...0...0...0.......0
..............00......00..00..00..00..00..00......00
.............0.0.....0.0.0.0.0.0.0.0.0.0.0.0.....0.0
............0000....000000000000000000000000....0000
...........0...0...0.......................0...0...0
..........00..00..00......................00..00..00
.........0.0.0.0.0.0.....................0.0.0.0.0.0
........000000000000....................000000000000
.......0...........0...................0...........0
......00..........00..................00..........00
.....0.0.........0.0.................0.0.........0.0
....0000........0000................0000........0000
</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">set_show_as_int</span><span class="p">(</span><span class="o">*</span><span class="n">names</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">inner</span><span class="p">(</span><span class="n">register</span><span class="p">):</span>
<span class="n">i</span><span class="p">,</span> <span class="n">n</span> <span class="o">=</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span>
<span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="n">names</span><span class="p">:</span>
<span class="k">if</span> <span class="n">name</span> <span class="ow">in</span> <span class="n">register</span><span class="p">:</span>
<span class="n">i</span> <span class="o">+=</span> <span class="n">n</span>
<span class="n">n</span> <span class="o">&lt;&lt;=</span> <span class="mi">1</span>
<span class="k">return</span> <span class="n">i</span>
<span class="k">return</span> <span class="n">inner</span>
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<h3 id="Each-Way-as-If...-Then...">Each-Way as If... Then...<a class="anchor-link" href="#Each-Way-as-If...-Then...">&#182;</a></h3>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">ifte</span><span class="p">(</span><span class="n">predicate</span><span class="p">,</span> <span class="n">true</span><span class="p">,</span> <span class="n">false</span><span class="p">):</span>
<span class="k">return</span> <span class="n">F</span><span class="p">(</span>
<span class="p">((</span><span class="n">predicate</span><span class="p">,),</span> <span class="n">true</span><span class="p">),</span>
<span class="p">(</span> <span class="n">predicate</span> <span class="p">,</span> <span class="n">false</span><span class="p">),</span>
<span class="p">)</span>
<span class="n">E</span> <span class="o">=</span> <span class="n">ifte</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">E</span><span class="p">)</span>
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<pre>(((a) b) (a c))
a b c | Value
---------+------
|
() | ()
() |
() () | ()
() |
() () |
() () | ()
() () () | ()
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<p>If <code>a</code> is Mark-valued the value of the whole form is that of <code>b</code>, but if <code>a</code> is Void-valued the value of the whole form is that of <code>c</code>.</p>
<pre><code>w/ a = ()
((( a) b) ( a c))
(((()) b) (() c))
(( b) (() ))
(( b) )
b
w/ a =
(((a) b) (a c))
((( ) b) ( c))
((( ) ) ( c))
( ( c))
c</code></pre>
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<h2 id="Flip-Flops-for-Memory">Flip-Flops for Memory<a class="anchor-link" href="#Flip-Flops-for-Memory">&#182;</a></h2>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">flip_flop</span><span class="p">(</span><span class="n">q</span><span class="p">,</span> <span class="n">reset</span><span class="p">,</span> <span class="n">set_</span><span class="p">):</span>
<span class="k">return</span> <span class="n">F</span><span class="p">(</span><span class="n">reset</span><span class="p">,</span> <span class="p">(</span><span class="n">q</span><span class="p">,</span> <span class="n">set_</span><span class="p">))</span>
<span class="n">q</span><span class="p">,</span> <span class="n">r</span><span class="p">,</span> <span class="n">s</span> <span class="o">=</span> <span class="s1">&#39;qrs&#39;</span>
<span class="n">E</span> <span class="o">=</span> <span class="n">flip_flop</span><span class="p">(</span><span class="n">q</span><span class="p">,</span> <span class="n">r</span><span class="p">,</span> <span class="n">s</span><span class="p">)</span>
<span class="n">truth_table</span><span class="p">(</span><span class="n">E</span><span class="p">)</span>
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<pre>((q s) r)
q r s | Value
---------+------
|
() | ()
() |
() () |
() | ()
() () | ()
() () |
() () () |
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<p>This is a form that can be used in a circuit to "remember" a value.</p>
<pre><code>w/ r = ()
((q s) r)
((q s) ())
( ())
w/ s = (), r = ___
((q s) r)
((q ()) )
(( ()) )
( )
w/ s = ___, r = ___
((q s) r)
((q ) )
q
</code></pre>
<p>If both are Void then the form is just <code>q</code>, if <code>r</code> is Mark then the form is Void, otherwise if <code>s</code> is Mark the form becomes Mark. This is called a "flip-flop" circuit, and it comprises a simple machine to remember one bit.</p>
<p>Consider a simple computer:</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">U</span> <span class="o">=</span> <span class="n">q</span><span class="p">,</span> <span class="n">r</span><span class="p">,</span> <span class="n">s</span> <span class="o">=</span> <span class="s1">&#39;qrs&#39;</span>
<span class="n">P</span> <span class="o">=</span> <span class="p">{</span>
<span class="n">q</span><span class="p">:</span> <span class="n">flip_flop</span><span class="p">(</span><span class="n">q</span><span class="p">,</span> <span class="n">r</span><span class="p">,</span> <span class="n">s</span><span class="p">),</span>
<span class="n">r</span><span class="p">:</span> <span class="n">Void</span><span class="p">,</span>
<span class="n">s</span><span class="p">:</span> <span class="n">Void</span><span class="p">,</span>
<span class="p">}</span>
<span class="n">R</span> <span class="o">=</span> <span class="nb">set</span><span class="p">()</span> <span class="c1"># Initially all signals are off, Void-valued.</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">bools_of</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">universe</span><span class="p">:</span> <span class="k">lambda</span> <span class="n">register</span><span class="p">:</span> <span class="p">(</span><span class="n">name</span> <span class="ow">in</span> <span class="n">register</span> <span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="n">universe</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">simple_show</span><span class="p">(</span><span class="n">universe</span><span class="p">):</span>
<span class="n">B</span> <span class="o">=</span> <span class="n">bools_of</span><span class="p">(</span><span class="n">universe</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">_shower</span><span class="p">(</span><span class="n">register</span><span class="p">):</span>
<span class="nb">print</span> <span class="s1">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="s1">&#39;.0&#39;</span><span class="p">[</span><span class="n">b</span><span class="p">]</span> <span class="k">for</span> <span class="n">b</span> <span class="ow">in</span> <span class="n">B</span><span class="p">(</span><span class="n">register</span><span class="p">))</span>
<span class="k">return</span> <span class="n">_shower</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">show</span> <span class="o">=</span> <span class="n">simple_show</span><span class="p">(</span><span class="n">U</span><span class="p">)</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
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<pre>...
</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">SET</span><span class="p">(</span><span class="n">R</span><span class="p">):</span>
<span class="n">R</span> <span class="o">|=</span> <span class="p">{</span><span class="n">s</span><span class="p">}</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
<span class="k">return</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">RESET</span><span class="p">(</span><span class="n">R</span><span class="p">):</span>
<span class="n">R</span> <span class="o">|=</span> <span class="p">{</span><span class="n">r</span><span class="p">}</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
<span class="k">return</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">print</span> <span class="n">U</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span> <span class="p">;</span> <span class="n">R</span> <span class="o">=</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span> <span class="p">;</span> <span class="n">R</span> <span class="o">=</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span> <span class="p">;</span> <span class="n">R</span> <span class="o">=</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
<span class="n">R</span> <span class="o">=</span> <span class="n">SET</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span> <span class="p">;</span> <span class="n">R</span> <span class="o">=</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span> <span class="p">;</span> <span class="n">R</span> <span class="o">=</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
<span class="n">R</span> <span class="o">=</span> <span class="n">SET</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span> <span class="p">;</span> <span class="n">R</span> <span class="o">=</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span> <span class="p">;</span> <span class="n">R</span> <span class="o">=</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
<span class="n">R</span> <span class="o">=</span> <span class="n">RESET</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span> <span class="p">;</span> <span class="n">R</span> <span class="o">=</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span> <span class="p">;</span> <span class="n">R</span> <span class="o">=</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
<span class="n">R</span> <span class="o">=</span> <span class="n">RESET</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span> <span class="p">;</span> <span class="n">R</span> <span class="o">=</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
<span class="n">show</span><span class="p">(</span><span class="n">R</span><span class="p">)</span> <span class="p">;</span> <span class="n">R</span> <span class="o">=</span> <span class="n">set_cycle</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
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<pre>qrs
...
...
...
..0
0..
0..
0.0
0..
0..
00.
...
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.0.
...
...
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<p>You can see that <code>q</code> is stable unless <code>s</code> or <code>r</code> set or reset it.</p>
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<h3 id="Using-Flip-Flops-and-If...Then...Else...-to-make-RAM">Using Flip-Flops and If...Then...Else... to make RAM<a class="anchor-link" href="#Using-Flip-Flops-and-If...Then...Else...-to-make-RAM">&#182;</a></h3><p>We can use the system we have developed so far to build addressable RAM.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="c1"># Width in bits of the DATA registers.</span>
<span class="n">WIDTH</span> <span class="o">=</span> <span class="mi">2</span>
<span class="c1"># Width in bits of the ADDR registers.</span>
<span class="n">LENGTH</span> <span class="o">=</span> <span class="mi">3</span> <span class="c1"># Actual length 2**LENGTH</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">P</span> <span class="o">=</span> <span class="p">{}</span>
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<p>We'll assume a single <code>WRITE</code> bit that sets a RAM location determined by the <code>ADDR</code> sub-register to the contents of the <code>DATA</code> sub-register.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">WRITE</span> <span class="o">=</span> <span class="s1">&#39;WRITE&#39;</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="c1"># Address register.</span>
<span class="n">ADDR</span> <span class="o">=</span> <span class="p">[</span><span class="s1">&#39;addr_</span><span class="si">%i</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">i</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">LENGTH</span><span class="p">)]</span>
<span class="n">ADDR</span>
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<pre>[&#39;addr_0&#39;, &#39;addr_1&#39;, &#39;addr_2&#39;]</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="c1"># Data register.</span>
<span class="n">DATA</span> <span class="o">=</span> <span class="p">[</span><span class="s1">&#39;a</span><span class="si">%i</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">i</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">WIDTH</span><span class="p">)]</span>
<span class="n">DATA</span>
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<pre>[&#39;a0&#39;, &#39;a1&#39;]</pre>
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<p>We can recognize which <code>RAM</code> location we want to address by using the <a href="#Each-Row-can-be-Represented-as-an-Expression">expressions for each row from above</a> to create a predicate for each location that depends on the <code>ADDR</code> bits.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">make_ram</span><span class="p">(</span><span class="n">program</span><span class="p">,</span> <span class="n">addrs</span><span class="p">,</span> <span class="n">data</span><span class="p">,</span> <span class="n">width</span><span class="p">,</span> <span class="n">write</span><span class="p">):</span>
<span class="n">RAM</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">addr</span><span class="p">,</span> <span class="n">env</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">environments_of_variables</span><span class="p">(</span><span class="o">*</span><span class="n">addrs</span><span class="p">)):</span>
<span class="n">addr_predicate</span> <span class="o">=</span> <span class="n">F</span><span class="p">((</span><span class="n">name</span><span class="p">,)</span> <span class="k">if</span> <span class="n">env</span><span class="p">[</span><span class="n">name</span><span class="p">]</span> <span class="k">else</span> <span class="n">name</span> <span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="n">env</span><span class="p">)</span>
<span class="n">predicate</span> <span class="o">=</span> <span class="n">and_</span><span class="p">(</span><span class="n">write</span><span class="p">,</span> <span class="n">addr_predicate</span><span class="p">)</span>
<span class="k">for</span> <span class="n">bit</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">width</span><span class="p">):</span>
<span class="n">ram</span> <span class="o">=</span> <span class="s1">&#39;RAM_</span><span class="si">%i</span><span class="s1">_</span><span class="si">%i</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="p">(</span><span class="n">addr</span><span class="p">,</span> <span class="n">bit</span><span class="p">)</span>
<span class="n">RAM</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">ram</span><span class="p">)</span>
<span class="n">program</span><span class="p">[</span><span class="n">ram</span><span class="p">]</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">ifte</span><span class="p">(</span><span class="n">predicate</span><span class="p">,</span> <span class="n">data</span><span class="p">[</span><span class="n">bit</span><span class="p">],</span> <span class="n">ram</span><span class="p">))</span>
<span class="k">return</span> <span class="n">RAM</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">RAM</span> <span class="o">=</span> <span class="n">make_ram</span><span class="p">(</span><span class="n">P</span><span class="p">,</span> <span class="n">ADDR</span><span class="p">,</span> <span class="n">DATA</span><span class="p">,</span> <span class="n">WIDTH</span><span class="p">,</span> <span class="n">WRITE</span><span class="p">)</span>
<span class="n">RAM</span>
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<pre>[&#39;RAM_0_0&#39;,
&#39;RAM_0_1&#39;,
&#39;RAM_1_0&#39;,
&#39;RAM_1_1&#39;,
&#39;RAM_2_0&#39;,
&#39;RAM_2_1&#39;,
&#39;RAM_3_0&#39;,
&#39;RAM_3_1&#39;,
&#39;RAM_4_0&#39;,
&#39;RAM_4_1&#39;,
&#39;RAM_5_0&#39;,
&#39;RAM_5_1&#39;,
&#39;RAM_6_0&#39;,
&#39;RAM_6_1&#39;,
&#39;RAM_7_0&#39;,
&#39;RAM_7_1&#39;]</pre>
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<pre>{&#39;RAM_0_0&#39;: (((((addr_0) (addr_1) (addr_2)) (WRITE)) RAM_0_0) (((addr_0) (addr_1) (addr_2)) (WRITE) a0)),
&#39;RAM_0_1&#39;: (((((addr_0) (addr_1) (addr_2)) (WRITE)) RAM_0_1) (((addr_0) (addr_1) (addr_2)) (WRITE) a1)),
&#39;RAM_1_0&#39;: (((((addr_0) (addr_1) addr_2) (WRITE)) RAM_1_0) (((addr_0) (addr_1) addr_2) (WRITE) a0)),
&#39;RAM_1_1&#39;: (((((addr_0) (addr_1) addr_2) (WRITE)) RAM_1_1) (((addr_0) (addr_1) addr_2) (WRITE) a1)),
&#39;RAM_2_0&#39;: (((((addr_0) (addr_2) addr_1) (WRITE)) RAM_2_0) (((addr_0) (addr_2) addr_1) (WRITE) a0)),
&#39;RAM_2_1&#39;: (((((addr_0) (addr_2) addr_1) (WRITE)) RAM_2_1) (((addr_0) (addr_2) addr_1) (WRITE) a1)),
&#39;RAM_3_0&#39;: (((((addr_0) addr_1 addr_2) (WRITE)) RAM_3_0) (((addr_0) addr_1 addr_2) (WRITE) a0)),
&#39;RAM_3_1&#39;: (((((addr_0) addr_1 addr_2) (WRITE)) RAM_3_1) (((addr_0) addr_1 addr_2) (WRITE) a1)),
&#39;RAM_4_0&#39;: (((((addr_1) (addr_2) addr_0) (WRITE)) RAM_4_0) (((addr_1) (addr_2) addr_0) (WRITE) a0)),
&#39;RAM_4_1&#39;: (((((addr_1) (addr_2) addr_0) (WRITE)) RAM_4_1) (((addr_1) (addr_2) addr_0) (WRITE) a1)),
&#39;RAM_5_0&#39;: (((((addr_1) addr_0 addr_2) (WRITE)) RAM_5_0) (((addr_1) addr_0 addr_2) (WRITE) a0)),
&#39;RAM_5_1&#39;: (((((addr_1) addr_0 addr_2) (WRITE)) RAM_5_1) (((addr_1) addr_0 addr_2) (WRITE) a1)),
&#39;RAM_6_0&#39;: (((((addr_2) addr_0 addr_1) (WRITE)) RAM_6_0) (((addr_2) addr_0 addr_1) (WRITE) a0)),
&#39;RAM_6_1&#39;: (((((addr_2) addr_0 addr_1) (WRITE)) RAM_6_1) (((addr_2) addr_0 addr_1) (WRITE) a1)),
&#39;RAM_7_0&#39;: ((((WRITE) (addr_0 addr_1 addr_2)) RAM_7_0) ((WRITE) (addr_0 addr_1 addr_2) a0)),
&#39;RAM_7_1&#39;: ((((WRITE) (addr_0 addr_1 addr_2)) RAM_7_1) ((WRITE) (addr_0 addr_1 addr_2) a1))}</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">E</span> <span class="o">=</span> <span class="n">P</span><span class="p">[</span><span class="s1">&#39;RAM_0_0&#39;</span><span class="p">]</span>
<span class="n">E</span>
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<pre>(((((addr_0) (addr_1) (addr_2)) (WRITE)) RAM_0_0) (((addr_0) (addr_1) (addr_2)) (WRITE) a0))</pre>
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<p>Note that if the <code>WRITE</code> bit is unset then each <code>RAM</code> bit is just set to itself.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">simplify</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">exclude</span><span class="o">=</span><span class="p">{</span><span class="s1">&#39;WRITE&#39;</span><span class="p">})</span>
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<pre>&#39;RAM_0_0&#39;</pre>
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<p>But if the <code>WRITE</code> bit is set then each <code>RAM</code> location still depends on the -per-location-predicate.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">simplify</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">with_mark</span><span class="o">=</span><span class="s1">&#39;WRITE&#39;</span><span class="p">)</span>
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<pre>((((addr_0) (addr_1) (addr_2)) a0) ((addr_0) (addr_1) (addr_2) RAM_0_0))</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">make_accumulator</span><span class="p">(</span><span class="n">program</span><span class="p">,</span> <span class="n">addrs</span><span class="p">,</span> <span class="n">data</span><span class="p">,</span> <span class="n">width</span><span class="p">,</span> <span class="n">read</span><span class="p">,</span> <span class="n">alts</span><span class="p">):</span>
<span class="n">addr_predicates</span> <span class="o">=</span> <span class="p">[</span>
<span class="n">F</span><span class="p">((</span><span class="n">name</span><span class="p">,)</span> <span class="k">if</span> <span class="n">env</span><span class="p">[</span><span class="n">name</span><span class="p">]</span> <span class="k">else</span> <span class="n">name</span> <span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="n">env</span><span class="p">)</span>
<span class="k">for</span> <span class="n">env</span> <span class="ow">in</span> <span class="n">environments_of_variables</span><span class="p">(</span><span class="o">*</span><span class="n">addrs</span><span class="p">)</span>
<span class="p">]</span>
<span class="k">for</span> <span class="n">bit</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">width</span><span class="p">):</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">data</span><span class="p">[</span><span class="n">bit</span><span class="p">]</span>
<span class="n">alt</span> <span class="o">=</span> <span class="n">alts</span><span class="p">[</span><span class="n">bit</span><span class="p">]</span>
<span class="n">foo</span> <span class="o">=</span> <span class="n">Void</span>
<span class="k">for</span> <span class="n">addr</span><span class="p">,</span> <span class="n">predicate</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">addr_predicates</span><span class="p">):</span>
<span class="n">ram</span> <span class="o">=</span> <span class="s1">&#39;RAM_</span><span class="si">%i</span><span class="s1">_</span><span class="si">%i</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="p">(</span><span class="n">addr</span><span class="p">,</span> <span class="n">bit</span><span class="p">)</span>
<span class="n">foo</span> <span class="o">=</span> <span class="p">(</span><span class="n">ifte</span><span class="p">(</span><span class="n">predicate</span><span class="p">,</span> <span class="n">ram</span><span class="p">,</span> <span class="n">foo</span><span class="p">))</span>
<span class="n">program</span><span class="p">[</span><span class="n">a</span><span class="p">]</span> <span class="o">=</span> <span class="n">ifte</span><span class="p">(</span><span class="n">read</span><span class="p">,</span> <span class="n">foo</span><span class="p">,</span> <span class="n">alt</span><span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">p</span> <span class="o">=</span> <span class="p">{}</span>
<span class="n">make_accumulator</span><span class="p">(</span><span class="n">p</span><span class="p">,</span> <span class="n">ADDR</span><span class="p">,</span> <span class="n">DATA</span><span class="p">,</span> <span class="n">WIDTH</span><span class="p">,</span> <span class="s1">&#39;READ&#39;</span><span class="p">,</span> <span class="n">DATA</span><span class="p">)</span>
<span class="n">p</span>
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<pre>{&#39;a0&#39;: ((((((((((((((((((((((addr_0) (addr_1) (addr_2)))) RAM_0_0) ((((addr_0) (addr_1) (addr_2))) (()))) (((addr_0) (addr_1) addr_2))) (((((addr_0) (addr_1) addr_2))) RAM_1_0)) (((addr_0) (addr_2) addr_1))) (((((addr_0) (addr_2) addr_1))) RAM_2_0)) (((addr_0) addr_1 addr_2))) (((((addr_0) addr_1 addr_2))) RAM_3_0)) (((addr_1) (addr_2) addr_0))) (((((addr_1) (addr_2) addr_0))) RAM_4_0)) (((addr_1) addr_0 addr_2))) (((((addr_1) addr_0 addr_2))) RAM_5_0)) (((addr_2) addr_0 addr_1))) (((((addr_2) addr_0 addr_1))) RAM_6_0)) ((addr_0 addr_1 addr_2))) ((((addr_0 addr_1 addr_2))) RAM_7_0)) (READ)) (READ a0)),
&#39;a1&#39;: ((((((((((((((((((((((addr_0) (addr_1) (addr_2)))) RAM_0_1) ((((addr_0) (addr_1) (addr_2))) (()))) (((addr_0) (addr_1) addr_2))) (((((addr_0) (addr_1) addr_2))) RAM_1_1)) (((addr_0) (addr_2) addr_1))) (((((addr_0) (addr_2) addr_1))) RAM_2_1)) (((addr_0) addr_1 addr_2))) (((((addr_0) addr_1 addr_2))) RAM_3_1)) (((addr_1) (addr_2) addr_0))) (((((addr_1) (addr_2) addr_0))) RAM_4_1)) (((addr_1) addr_0 addr_2))) (((((addr_1) addr_0 addr_2))) RAM_5_1)) (((addr_2) addr_0 addr_1))) (((((addr_2) addr_0 addr_1))) RAM_6_1)) ((addr_0 addr_1 addr_2))) ((((addr_0 addr_1 addr_2))) RAM_7_1)) (READ)) (READ a1))}</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">E</span> <span class="o">=</span> <span class="n">p</span><span class="p">[</span><span class="n">DATA</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span>
<span class="n">E</span>
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<pre>((((((((((((((((((((((addr_0) (addr_1) (addr_2)))) RAM_0_0) ((((addr_0) (addr_1) (addr_2))) (()))) (((addr_0) (addr_1) addr_2))) (((((addr_0) (addr_1) addr_2))) RAM_1_0)) (((addr_0) (addr_2) addr_1))) (((((addr_0) (addr_2) addr_1))) RAM_2_0)) (((addr_0) addr_1 addr_2))) (((((addr_0) addr_1 addr_2))) RAM_3_0)) (((addr_1) (addr_2) addr_0))) (((((addr_1) (addr_2) addr_0))) RAM_4_0)) (((addr_1) addr_0 addr_2))) (((((addr_1) addr_0 addr_2))) RAM_5_0)) (((addr_2) addr_0 addr_1))) (((((addr_2) addr_0 addr_1))) RAM_6_0)) ((addr_0 addr_1 addr_2))) ((((addr_0 addr_1 addr_2))) RAM_7_0)) (READ)) (READ a0))</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">simplify</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="n">with_mark</span><span class="o">=</span><span class="s1">&#39;READ&#39;</span><span class="p">)</span>
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<pre>((((((((((((((((((addr_0) (addr_1) (addr_2)) RAM_0_0) ((addr_0) (addr_1) (addr_2))) (addr_0) (addr_1) addr_2) (((addr_0) (addr_1) addr_2) RAM_1_0)) (addr_0) (addr_2) addr_1) (((addr_0) (addr_2) addr_1) RAM_2_0)) (addr_0) addr_1 addr_2) (((addr_0) addr_1 addr_2) RAM_3_0)) (addr_1) (addr_2) addr_0) (((addr_1) (addr_2) addr_0) RAM_4_0)) (addr_1) addr_0 addr_2) (((addr_1) addr_0 addr_2) RAM_5_0)) (addr_2) addr_0 addr_1) (((addr_2) addr_0 addr_1) RAM_6_0)) addr_0 addr_1 addr_2) ((addr_0 addr_1 addr_2) RAM_7_0))</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">simplify</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="p">{</span><span class="s1">&#39;READ&#39;</span><span class="p">})</span>
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<pre>&#39;a0&#39;</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">each_way</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="s1">&#39;a0&#39;</span><span class="p">)</span>
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<pre>((((((((((((((((((((((addr_0) (addr_1) (addr_2)) RAM_0_0) ((addr_0) (addr_1) (addr_2))) (addr_0) (addr_1) addr_2) (((addr_0) (addr_1) addr_2) RAM_1_0)) (addr_0) (addr_2) addr_1) (((addr_0) (addr_2) addr_1) RAM_2_0)) (addr_0) addr_1 addr_2) (((addr_0) addr_1 addr_2) RAM_3_0)) (addr_1) (addr_2) addr_0) (((addr_1) (addr_2) addr_0) RAM_4_0)) (addr_1) addr_0 addr_2) (((addr_1) addr_0 addr_2) RAM_5_0)) (addr_2) addr_0 addr_1) (((addr_2) addr_0 addr_1) RAM_6_0)) addr_0 addr_1 addr_2) ((addr_0 addr_1 addr_2) RAM_7_0)) (READ)) (READ)) a0) ((((addr_0 addr_1 addr_2) RAM_7_0) (RAM_6_0 addr_0 addr_1 addr_2)) (READ) (a0)))</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">each_way</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="s1">&#39;WRITE&#39;</span><span class="p">)</span>
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<pre>((((((((((((((((((((((addr_0) (addr_1) (addr_2)) RAM_0_0) ((addr_0) (addr_1) (addr_2))) (addr_0) (addr_1) addr_2) (((addr_0) (addr_1) addr_2) RAM_1_0)) (addr_0) (addr_2) addr_1) (((addr_0) (addr_2) addr_1) RAM_2_0)) (addr_0) addr_1 addr_2) (((addr_0) addr_1 addr_2) RAM_3_0)) (addr_1) (addr_2) addr_0) (((addr_1) (addr_2) addr_0) RAM_4_0)) (addr_1) addr_0 addr_2) (((addr_1) addr_0 addr_2) RAM_5_0)) (addr_2) addr_0 addr_1) (((addr_2) addr_0 addr_1) RAM_6_0)) addr_0 addr_1 addr_2) ((addr_0 addr_1 addr_2) RAM_7_0)) (READ)) (READ a0)) WRITE) ((((((addr_0 addr_1 addr_2) RAM_7_0) (RAM_6_0 addr_0 addr_1 addr_2)) (READ)) (READ a0)) (WRITE)))</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">each_way</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="s1">&#39;addr_0&#39;</span><span class="p">)</span>
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<pre>((((((((((((((addr_1) (addr_2)) RAM_4_0) ((addr_1) (addr_2) RAM_3_0)) (addr_1) addr_2) (((addr_1) addr_2) RAM_5_0)) (addr_2) addr_1) (((addr_2) addr_1) RAM_6_0)) addr_1 addr_2) ((addr_1 addr_2) RAM_7_0)) (READ)) (READ a0)) addr_0) ((((READ) RAM_7_0) (READ a0)) (addr_0)))</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">each_way</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="s1">&#39;a0&#39;</span><span class="p">)</span>
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<pre>((((((((((((((((((((((addr_0) (addr_1) (addr_2)) RAM_0_0) ((addr_0) (addr_1) (addr_2))) (addr_0) (addr_1) addr_2) (((addr_0) (addr_1) addr_2) RAM_1_0)) (addr_0) (addr_2) addr_1) (((addr_0) (addr_2) addr_1) RAM_2_0)) (addr_0) addr_1 addr_2) (((addr_0) addr_1 addr_2) RAM_3_0)) (addr_1) (addr_2) addr_0) (((addr_1) (addr_2) addr_0) RAM_4_0)) (addr_1) addr_0 addr_2) (((addr_1) addr_0 addr_2) RAM_5_0)) (addr_2) addr_0 addr_1) (((addr_2) addr_0 addr_1) RAM_6_0)) addr_0 addr_1 addr_2) ((addr_0 addr_1 addr_2) RAM_7_0)) (READ)) (READ)) a0) ((((addr_0 addr_1 addr_2) RAM_7_0) (RAM_6_0 addr_0 addr_1 addr_2)) (READ) (a0)))</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">simplify</span><span class="p">(</span><span class="n">each_way</span><span class="p">(</span><span class="n">E</span><span class="p">,</span> <span class="s1">&#39;WRITE&#39;</span><span class="p">),</span> <span class="n">with_mark</span><span class="o">=</span><span class="s1">&#39;WRITE&#39;</span><span class="p">)</span>
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<pre>(((((addr_0 addr_1 addr_2) RAM_7_0) (RAM_6_0 addr_0 addr_1 addr_2)) (READ)) (READ a0))</pre>
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<p>, Sorting Networks for routing, more basic functions.</p>
<p>Eventually: Orchestration with Joy.</p>
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<h1 id="FIN-for-now.">FIN for now.<a class="anchor-link" href="#FIN-for-now.">&#182;</a></h1>
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<h2 id="Appendix:-Demonstration-of-A(AB)-=-A(B)">Appendix: Demonstration of A(AB) = A(B)<a class="anchor-link" href="#Appendix:-Demonstration-of-A(AB)-=-A(B)">&#182;</a></h2><p>The rule <code>A(AB) = A(B)</code> is the powerhouse of LoF.</p>
<p>w/ A = ()</p>
<pre><code> A(AB) = A(B)
()(()B) = ()(B)
() = ()
</code></pre>
<p>w/ A =</p>
<pre><code> A(AB) = A(B)
(B) = (B)
</code></pre>
<p>Be aware of the recursive nature of this rule:</p>
<pre><code>A(...(...(A B)))
A(.A.(...(A B)))
A(.A.(.A.(A B)))
A(.A.(.A.( B)))
A(.A.(...( B)))
A(...(...( B)))
</code></pre>
<p>There is this too:</p>
<pre><code>(A)(...(...(... A B)))
(A)((A)(...(... A B)))
(A)((A)((A)(... A B)))
(A)((A)((A)((A) A B)))
(A)((A)((A)(( ) A B)))
(A)((A)(...(( ) )))
(A)(...(... ))
</code></pre>
<p>Summarized:</p>
<pre><code>(A)(...(...(... A )))
(A)(...(...(... () )))
(A)(...(... ))</code></pre>
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<h2 id="Appendix:-Reduce-String-Expressions-by-Substitution">Appendix: Reduce String Expressions by Substitution<a class="anchor-link" href="#Appendix:-Reduce-String-Expressions-by-Substitution">&#182;</a></h2><p>Given a string form of an arithmetic expression (in other words a string that consists of only balanced pairs of parentheses) we can reduce it to its Mark/Void value by substitution to a <a href="https://en.wikipedia.org/wiki/Fixed_point_%28mathematics%29">fixed-point</a>.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="c1"># Translate the LoF Arithmetic rules to string substitution rules.</span>
<span class="n">reduce_string</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">s</span><span class="p">:</span> <span class="p">(</span>
<span class="n">s</span>
<span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s1">&#39;()()&#39;</span><span class="p">,</span> <span class="s1">&#39;()&#39;</span><span class="p">)</span>
<span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s1">&#39;(())&#39;</span><span class="p">,</span> <span class="s1">&#39;&#39;</span><span class="p">)</span>
<span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">to_fixed_point</span><span class="p">(</span><span class="n">initial_value</span><span class="p">,</span> <span class="n">F</span><span class="p">,</span> <span class="n">limit</span><span class="o">=</span><span class="mi">10000</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Do value = F(value) until value == F(value).&#39;&#39;&#39;</span>
<span class="n">next_value</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">initial_value</span><span class="p">)</span>
<span class="k">while</span> <span class="n">next_value</span> <span class="o">!=</span> <span class="n">initial_value</span><span class="p">:</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">limit</span><span class="p">:</span> <span class="c1"># A safety mechanism. Bail out after N iterations.</span>
<span class="k">raise</span> <span class="ne">RuntimeError</span><span class="p">(</span><span class="s1">&#39;Reached limit of allowed iterations without finding fixed point.&#39;</span><span class="p">)</span>
<span class="n">limit</span> <span class="o">-=</span> <span class="mi">1</span>
<span class="n">initial_value</span> <span class="o">=</span> <span class="n">next_value</span>
<span class="n">next_value</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">initial_value</span><span class="p">)</span>
<span class="k">return</span> <span class="n">initial_value</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="kn">from</span> <span class="nn">operator</span> <span class="kn">import</span> <span class="n">add</span>
<span class="k">def</span> <span class="nf">dyck_language</span><span class="p">(</span><span class="n">left</span><span class="p">,</span> <span class="n">right</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">t</span><span class="o">=</span><span class="s1">&#39;&#39;</span><span class="p">,</span> <span class="n">A</span><span class="o">=</span><span class="s1">&#39;(&#39;</span><span class="p">,</span> <span class="n">B</span><span class="o">=</span><span class="s1">&#39;)&#39;</span><span class="p">,</span> <span class="n">op</span><span class="o">=</span><span class="n">add</span><span class="p">):</span>
<span class="sd">&#39;&#39;&#39;Yield balanced pairs of A and B.&#39;&#39;&#39;</span>
<span class="k">if</span> <span class="ow">not</span> <span class="p">(</span><span class="n">left</span> <span class="ow">or</span> <span class="n">right</span><span class="p">):</span>
<span class="k">yield</span> <span class="n">t</span>
<span class="k">return</span>
<span class="k">if</span> <span class="n">left</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">dyck_language</span><span class="p">(</span><span class="n">left</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="n">right</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span> <span class="n">op</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">A</span><span class="p">),</span> <span class="n">A</span><span class="p">,</span> <span class="n">B</span><span class="p">,</span> <span class="n">op</span><span class="p">):</span>
<span class="k">yield</span> <span class="n">i</span>
<span class="k">if</span> <span class="n">right</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">dyck_language</span><span class="p">(</span><span class="n">left</span><span class="p">,</span> <span class="n">right</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="n">op</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">B</span><span class="p">),</span> <span class="n">A</span><span class="p">,</span> <span class="n">B</span><span class="p">,</span> <span class="n">op</span><span class="p">):</span>
<span class="k">yield</span> <span class="n">i</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">s</span> <span class="ow">in</span> <span class="n">dyck_language</span><span class="p">(</span><span class="mi">5</span><span class="p">):</span>
<span class="nb">print</span> <span class="n">s</span><span class="p">,</span> <span class="sa">u</span><span class="s1">&#39;⟶&#39;</span><span class="p">,</span> <span class="n">to_fixed_point</span><span class="p">(</span><span class="n">s</span><span class="p">,</span> <span class="n">reduce_string</span><span class="p">)</span>
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<pre>((((())))) ⟶ ()
(((()()))) ⟶
(((())())) ⟶ ()
(((()))()) ⟶
(((())))() ⟶ ()
((()(()))) ⟶ ()
((()()())) ⟶ ()
((()())()) ⟶
((()()))() ⟶ ()
((())(())) ⟶ ()
((())()()) ⟶
((())())() ⟶ ()
((()))(()) ⟶ ()
((()))()() ⟶ ()
(()((()))) ⟶
(()(()())) ⟶
(()(())()) ⟶
(()(()))() ⟶ ()
(()()(())) ⟶
(()()()()) ⟶
(()()())() ⟶ ()
(()())(()) ⟶
(()())()() ⟶ ()
(())((())) ⟶ ()
(())(()()) ⟶
(())(())() ⟶ ()
(())()(()) ⟶ ()
(())()()() ⟶ ()
()(((()))) ⟶ ()
()((()())) ⟶ ()
()((())()) ⟶ ()
()((()))() ⟶ ()
()(()(())) ⟶ ()
()(()()()) ⟶ ()
()(()())() ⟶ ()
()(())(()) ⟶ ()
()(())()() ⟶ ()
()()((())) ⟶ ()
()()(()()) ⟶ ()
()()(())() ⟶ ()
()()()(()) ⟶ ()
()()()()() ⟶ ()
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<h2 id="Appendix:-void()-and-mark()">Appendix: <code>void()</code> and <code>mark()</code><a class="anchor-link" href="#Appendix:-void()-and-mark()">&#182;</a></h2><p>The <code>void()</code> and <code>mark()</code> functions can be defined recursively in terms of each other. Note that <code>void()</code> uses <code>any()</code> while <code>mark()</code> uses <code>all()</code>. These functions implement a depth-first search. If we used versions of <code>any()</code> and <code>all()</code> that evaluated their arguments in parallel <code>void()</code> could return after the <code>True</code> result while <code>mark()</code> depends on all terms's results so its runtime will be bound by term with the greatest runtime.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">void</span><span class="p">(</span><span class="n">form</span><span class="p">):</span>
<span class="k">return</span> <span class="nb">any</span><span class="p">(</span><span class="n">mark</span><span class="p">(</span><span class="n">i</span><span class="p">)</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">form</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">mark</span><span class="p">(</span><span class="n">form</span><span class="p">):</span>
<span class="k">return</span> <span class="nb">all</span><span class="p">(</span><span class="n">void</span><span class="p">(</span><span class="n">i</span><span class="p">)</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">form</span><span class="p">)</span>
<span class="k">for</span> <span class="n">form</span> <span class="ow">in</span> <span class="n">BASE</span><span class="p">:</span>
<span class="k">for</span> <span class="n">func</span> <span class="ow">in</span> <span class="p">(</span><span class="n">void</span><span class="p">,</span> <span class="n">mark</span><span class="p">):</span>
<span class="nb">print</span> <span class="n">form</span><span class="p">,</span> <span class="s1">&#39;is&#39;</span><span class="p">,</span> <span class="n">func</span><span class="o">.</span><span class="vm">__name__</span><span class="p">,</span> <span class="s1">&#39;?&#39;</span><span class="p">,</span> <span class="n">func</span><span class="p">(</span><span class="n">form</span><span class="p">)</span>
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<pre>(()) is void ? True
(()) is mark ? False
() is void ? False
() is mark ? True
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<h2 id="Appendix:-Duals">Appendix: Duals<a class="anchor-link" href="#Appendix:-Duals">&#182;</a></h2><p>The Void and the Mark are not Boolean true and false. Rather they correspond to non-existance and existance. When translating a traditional logical statement into Laws of Form the first thing we must do is choose which mapping we would like to use: true = Mark or true = Void. The notation works the same way once the translation is made, so the only real criteria for choosing is which gives the smaller form.</p>
<p>If you examine the truth tables for the basic forms above in light of this, you can see that each defines two logical functions depending on whether you treat Void as true and Mark as false, or Void as false and Mark as true.</p>
<p>For example, the juxtaposition of two terms next to each other <code>a b</code> corresponds to <strong>OR</strong> if Mark is true, and to <strong>AND</strong> if Void is true. Likewise, the form <code>((a)(b))</code> is <strong>AND</strong> if Mark is true and <strong>OR</strong> if Void is true.</p>
<p>Consider:</p>
<pre><code>(A ∧ ¬B) ∨ (C ∧ D)
</code></pre>
<p>(This reads "(A and not B) or (C and D)" in case you have a hard time remembering what the symbols mean like I do.)</p>
<p>If we choose Mark to be true then the form is:</p>
<pre><code>((A) B) ((C)(D))
</code></pre>
<p>If we choose Void to be true then the form is:</p>
<pre><code>((A (B)) (C D))
</code></pre>
<p>As I said above, the notation works the same way either way, so once the translation is made you can forget about the Boolean true/false and just work with the Laws of Form rules. Logic is containers.</p>
<h3 id="De-Morgan-Duals">De Morgan Duals<a class="anchor-link" href="#De-Morgan-Duals">&#182;</a></h3><p>Consider also the <a href="https://en.wikipedia.org/wiki/De_Morgan%27s_laws">De Morgan dual</a> of the original statement:</p>
<pre><code>¬((¬A ∨ B) ∧ (¬C ∨ ¬D))
</code></pre>
<p>If we choose Mark to be true then the form is:</p>
<pre><code>(( ((A) B) ((C)(D)) ))
</code></pre>
<p>The outer pair of containers can be deleted leaving the same form as above:</p>
<pre><code>((A) B) ((C)(D))
</code></pre>
<p>Likewise, if we choose Void to be true then the form is:</p>
<pre><code>((((A)) (B)) (((C)) ((D))))
</code></pre>
<p>Again, A((B)) =&gt; AB reduces this form to the same one above:</p>
<pre><code>((A (B)) (C D))
</code></pre>
<p>In the Laws of Form there are no De Morgan Dual statements. If you translate a logic statement and its dual into Laws of Form notation they both reduce to the same form.</p>
<p>To me this is a clear indication that the Laws of Form are superior to the traditional notation involving <code>¬ ∨ ∧</code>, etc. LoF replaces all the symbols with just names and boundaries. The Laws of Form are not dualistic, they work directly in terms of existance and non-existance. Duality only comes in when you interpret the forms as Boolean statements and have to pick a mapping.</p>
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<h1 id="Misc.-Junk">Misc. Junk<a class="anchor-link" href="#Misc.-Junk">&#182;</a></h1>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="kn">from</span> <span class="nn">collections</span> <span class="kn">import</span> <span class="n">Counter</span>
<span class="n">histo</span> <span class="o">=</span> <span class="n">Counter</span><span class="p">(</span><span class="n">yield_variables_of</span><span class="p">(</span><span class="n">cout</span><span class="p">))</span>
<span class="n">histo</span>
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<pre>Counter({&#39;Cin&#39;: 1,
&#39;a0&#39;: 3,
&#39;a1&#39;: 3,
&#39;a2&#39;: 3,
&#39;a3&#39;: 3,
&#39;b0&#39;: 3,
&#39;b1&#39;: 3,
&#39;b2&#39;: 3,
&#39;b3&#39;: 3})</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="c1">#import pprint as pp</span>
<span class="c1">#E = cout</span>
<span class="c1">#for var, count in histo.most_common():</span>
<span class="c1"># print &#39;stan&#39;, var, count</span>
<span class="c1"># E = to_fixed_point(simplify(standardize(E, var)), simplify)</span>
<span class="c1"># print len(str(E))</span>
<span class="c1"># pp.pprint(dict(Counter(yield_variables_of(E))))</span>
<span class="c1"># print &#39;------&#39;</span>
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<p>Rather than manually calling <code>standard_form()</code> let's define a function that reduces a form to a (hopefully) smaller equivalent form by going through all the variables in the form and using <code>standard_form()</code> with each. Along with clean and unwrap we can drive an expression to a fixed point.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">STAN</span><span class="p">(</span><span class="n">form</span><span class="p">):</span>
<span class="k">for</span> <span class="n">var</span><span class="p">,</span> <span class="n">_</span> <span class="ow">in</span> <span class="n">Counter</span><span class="p">(</span><span class="n">yield_variables_of</span><span class="p">(</span><span class="n">form</span><span class="p">))</span><span class="o">.</span><span class="n">most_common</span><span class="p">():</span>
<span class="n">form</span> <span class="o">=</span> <span class="n">to_fixed_point</span><span class="p">(</span><span class="n">simplify</span><span class="p">(</span><span class="n">standardize</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">var</span><span class="p">)),</span> <span class="n">simplify</span><span class="p">)</span>
<span class="k">return</span> <span class="n">form</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">sum0</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a0&#39;</span><span class="p">,</span> <span class="s1">&#39;b0&#39;</span><span class="p">,</span> <span class="s1">&#39;Cin&#39;</span><span class="p">)</span>
<span class="n">sum1</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a1&#39;</span><span class="p">,</span> <span class="s1">&#39;b1&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum2</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a2&#39;</span><span class="p">,</span> <span class="s1">&#39;b2&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum3</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a3&#39;</span><span class="p">,</span> <span class="s1">&#39;b3&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="nb">map</span><span class="p">(</span><span class="nb">len</span><span class="p">,</span> <span class="nb">map</span><span class="p">(</span><span class="nb">str</span><span class="p">,</span> <span class="p">(</span><span class="n">sum0</span><span class="p">,</span> <span class="n">sum1</span><span class="p">,</span> <span class="n">sum2</span><span class="p">,</span> <span class="n">sum3</span><span class="p">,</span> <span class="n">cout</span><span class="p">)))</span>
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<pre>[59, 135, 211, 287, 159]</pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">sum0</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a0&#39;</span><span class="p">,</span> <span class="s1">&#39;b0&#39;</span><span class="p">,</span> <span class="s1">&#39;Cin&#39;</span><span class="p">)</span>
<span class="n">sum0</span> <span class="o">=</span> <span class="n">to_fixed_point</span><span class="p">(</span><span class="n">sum0</span><span class="p">,</span> <span class="n">STAN</span><span class="p">)</span>
<span class="n">cout</span> <span class="o">=</span> <span class="n">to_fixed_point</span><span class="p">(</span><span class="n">cout</span><span class="p">,</span> <span class="n">STAN</span><span class="p">)</span>
<span class="n">sum1</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a1&#39;</span><span class="p">,</span> <span class="s1">&#39;b1&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum1</span> <span class="o">=</span> <span class="n">to_fixed_point</span><span class="p">(</span><span class="n">sum1</span><span class="p">,</span> <span class="n">STAN</span><span class="p">)</span>
<span class="n">cout</span> <span class="o">=</span> <span class="n">to_fixed_point</span><span class="p">(</span><span class="n">cout</span><span class="p">,</span> <span class="n">STAN</span><span class="p">)</span>
<span class="n">sum2</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a2&#39;</span><span class="p">,</span> <span class="s1">&#39;b2&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum2</span> <span class="o">=</span> <span class="n">to_fixed_point</span><span class="p">(</span><span class="n">sum2</span><span class="p">,</span> <span class="n">STAN</span><span class="p">)</span>
<span class="n">cout</span> <span class="o">=</span> <span class="n">to_fixed_point</span><span class="p">(</span><span class="n">cout</span><span class="p">,</span> <span class="n">STAN</span><span class="p">)</span>
<span class="n">sum3</span><span class="p">,</span> <span class="n">cout</span> <span class="o">=</span> <span class="n">full_bit_adder</span><span class="p">(</span><span class="s1">&#39;a3&#39;</span><span class="p">,</span> <span class="s1">&#39;b3&#39;</span><span class="p">,</span> <span class="n">cout</span><span class="p">)</span>
<span class="n">sum3</span> <span class="o">=</span> <span class="n">to_fixed_point</span><span class="p">(</span><span class="n">sum3</span><span class="p">,</span> <span class="n">STAN</span><span class="p">)</span>
<span class="n">cout</span> <span class="o">=</span> <span class="n">to_fixed_point</span><span class="p">(</span><span class="n">cout</span><span class="p">,</span> <span class="n">STAN</span><span class="p">)</span>
<span class="nb">map</span><span class="p">(</span><span class="nb">len</span><span class="p">,</span> <span class="nb">map</span><span class="p">(</span><span class="nb">str</span><span class="p">,</span> <span class="p">(</span><span class="n">sum0</span><span class="p">,</span> <span class="n">sum1</span><span class="p">,</span> <span class="n">sum2</span><span class="p">,</span> <span class="n">sum3</span><span class="p">,</span> <span class="n">cout</span><span class="p">)))</span>
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<span class="ansi-red-fg">---------------------------------------------------------------------------</span>
<span class="ansi-red-fg">NameError</span> Traceback (most recent call last)
<span class="ansi-green-fg">&lt;ipython-input-140-34665b9e1d61&gt;</span> in <span class="ansi-cyan-fg">&lt;module&gt;</span><span class="ansi-blue-fg">()</span>
<span class="ansi-green-intense-fg ansi-bold"> 1</span> sum0<span class="ansi-blue-fg">,</span> cout <span class="ansi-blue-fg">=</span> full_bit_adder<span class="ansi-blue-fg">(</span><span class="ansi-blue-fg">&#39;a0&#39;</span><span class="ansi-blue-fg">,</span> <span class="ansi-blue-fg">&#39;b0&#39;</span><span class="ansi-blue-fg">,</span> <span class="ansi-blue-fg">&#39;Cin&#39;</span><span class="ansi-blue-fg">)</span>
<span class="ansi-green-fg">----&gt; 2</span><span class="ansi-red-fg"> </span>sum0 <span class="ansi-blue-fg">=</span> to_fixed_point<span class="ansi-blue-fg">(</span>sum0<span class="ansi-blue-fg">,</span> STAN<span class="ansi-blue-fg">)</span>
<span class="ansi-green-intense-fg ansi-bold"> 3</span> cout <span class="ansi-blue-fg">=</span> to_fixed_point<span class="ansi-blue-fg">(</span>cout<span class="ansi-blue-fg">,</span> STAN<span class="ansi-blue-fg">)</span>
<span class="ansi-green-intense-fg ansi-bold"> 4</span>
<span class="ansi-green-intense-fg ansi-bold"> 5</span> sum1<span class="ansi-blue-fg">,</span> cout <span class="ansi-blue-fg">=</span> full_bit_adder<span class="ansi-blue-fg">(</span><span class="ansi-blue-fg">&#39;a1&#39;</span><span class="ansi-blue-fg">,</span> <span class="ansi-blue-fg">&#39;b1&#39;</span><span class="ansi-blue-fg">,</span> cout<span class="ansi-blue-fg">)</span>
<span class="ansi-green-fg">&lt;ipython-input-132-bf263ba512a2&gt;</span> in <span class="ansi-cyan-fg">to_fixed_point</span><span class="ansi-blue-fg">(initial_value, F, limit)</span>
<span class="ansi-green-intense-fg ansi-bold"> 2</span> <span class="ansi-blue-fg">&#39;&#39;&#39;Do value = F(value) until value == F(value).&#39;&#39;&#39;</span>
<span class="ansi-green-intense-fg ansi-bold"> 3</span>
<span class="ansi-green-fg">----&gt; 4</span><span class="ansi-red-fg"> </span>next_value <span class="ansi-blue-fg">=</span> F<span class="ansi-blue-fg">(</span>initial_value<span class="ansi-blue-fg">)</span>
<span class="ansi-green-intense-fg ansi-bold"> 5</span>
<span class="ansi-green-intense-fg ansi-bold"> 6</span> <span class="ansi-green-fg">while</span> next_value <span class="ansi-blue-fg">!=</span> initial_value<span class="ansi-blue-fg">:</span>
<span class="ansi-green-fg">&lt;ipython-input-138-99179e550c4a&gt;</span> in <span class="ansi-cyan-fg">STAN</span><span class="ansi-blue-fg">(form)</span>
<span class="ansi-green-intense-fg ansi-bold"> 1</span> <span class="ansi-green-fg">def</span> STAN<span class="ansi-blue-fg">(</span>form<span class="ansi-blue-fg">)</span><span class="ansi-blue-fg">:</span>
<span class="ansi-green-intense-fg ansi-bold"> 2</span> <span class="ansi-green-fg">for</span> var<span class="ansi-blue-fg">,</span> _ <span class="ansi-green-fg">in</span> Counter<span class="ansi-blue-fg">(</span>yield_variables_of<span class="ansi-blue-fg">(</span>form<span class="ansi-blue-fg">)</span><span class="ansi-blue-fg">)</span><span class="ansi-blue-fg">.</span>most_common<span class="ansi-blue-fg">(</span><span class="ansi-blue-fg">)</span><span class="ansi-blue-fg">:</span>
<span class="ansi-green-fg">----&gt; 3</span><span class="ansi-red-fg"> </span>form <span class="ansi-blue-fg">=</span> to_fixed_point<span class="ansi-blue-fg">(</span>simplify<span class="ansi-blue-fg">(</span>standardize<span class="ansi-blue-fg">(</span>form<span class="ansi-blue-fg">,</span> var<span class="ansi-blue-fg">)</span><span class="ansi-blue-fg">)</span><span class="ansi-blue-fg">,</span> simplify<span class="ansi-blue-fg">)</span>
<span class="ansi-green-intense-fg ansi-bold"> 4</span> <span class="ansi-green-fg">return</span> form
<span class="ansi-red-fg">NameError</span>: global name &#39;standardize&#39; is not defined</pre>
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<p>It would be useful and fun to write a simple search algorithm that tried different ways to reduce a form to see if it could find particulaly compact versions.</p>
<p>Let's generate the expressions for the next two output bits, and the carry bit.</p>
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<p>The <code>sum3</code> bit expression is pretty big.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">sum3</span>
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<p>But it's only about 1/9th of size of the previous version (which was 9261.)</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">len</span><span class="p">(</span><span class="nb">str</span><span class="p">(</span><span class="n">sum3</span><span class="p">))</span>
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<p>Let's simplify the first one manually just for fun:</p>
<pre><code>(((((())) (())) ((()))))
(( ) ) ( )
( )
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<p>Sure enough, it reduces to Mark after just a few applications of the rule <code>(()) = __</code> (the underscores indicates the absence of any value, aka Void.) We could also just delete variables that are Void in the original expression:</p>
<pre><code>((((a)b)(c)))
(( ) )( )
( )</code></pre>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">C</span> <span class="o">=</span> <span class="n">F</span><span class="p">((</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">))</span>
<span class="k">for</span> <span class="n">form</span> <span class="ow">in</span> <span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">B</span><span class="p">,</span> <span class="n">C</span><span class="p">):</span>
<span class="n">arth</span> <span class="o">=</span> <span class="n">reify</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">env</span><span class="p">)</span>
<span class="nb">print</span> <span class="n">form</span><span class="p">,</span> <span class="sa">u</span><span class="s1">&#39;⟶&#39;</span><span class="p">,</span> <span class="n">arth</span><span class="p">,</span> <span class="sa">u</span><span class="s1">&#39;⟶&#39;</span><span class="p">,</span> <span class="n">value_of</span><span class="p">(</span><span class="n">arth</span><span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">print</span> <span class="n">A</span>
<span class="n">Aa</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="p">{</span><span class="n">a</span><span class="p">})</span>
<span class="nb">print</span> <span class="n">a</span><span class="p">,</span> <span class="n">Aa</span>
<span class="n">Aab</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">Aa</span><span class="p">,</span> <span class="p">{</span><span class="n">b</span><span class="p">})</span>
<span class="nb">print</span> <span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">Aab</span>
<span class="n">Aabc</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">Aab</span><span class="p">,</span> <span class="p">{</span><span class="n">c</span><span class="p">})</span>
<span class="nb">print</span> <span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="n">Aabc</span>
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<span class="n">Aab</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">Aa</span><span class="p">,</span> <span class="n">with_mark</span><span class="o">=</span><span class="n">b</span><span class="p">)</span>
<span class="nb">print</span> <span class="n">a</span><span class="p">,</span> <span class="n">F</span><span class="p">(</span><span class="n">b</span><span class="p">),</span> <span class="n">Aab</span>
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<span class="n">Aac</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">Aa</span><span class="p">,</span> <span class="n">with_mark</span><span class="o">=</span><span class="n">c</span><span class="p">)</span>
<span class="nb">print</span> <span class="n">a</span><span class="p">,</span> <span class="n">F</span><span class="p">(</span><span class="n">c</span><span class="p">),</span> <span class="n">Aac</span>
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<span class="n">Aac</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">Aa</span><span class="p">,</span> <span class="p">{</span><span class="n">c</span><span class="p">})</span>
<span class="nb">print</span> <span class="n">a</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="n">Aac</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="kn">from</span> <span class="nn">collections</span> <span class="kn">import</span> <span class="n">Counter</span>
<span class="n">histo</span> <span class="o">=</span> <span class="n">Counter</span><span class="p">(</span><span class="n">yield_variables_of</span><span class="p">(</span><span class="n">sum7</span><span class="p">))</span>
<span class="n">histo</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">len</span><span class="p">(</span><span class="nb">str</span><span class="p">(</span><span class="n">sum7</span><span class="p">))</span>
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<p>Immediately we can just call <code>simplify()</code> until it stops shinking the expression.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">s7</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">sum7</span><span class="p">)</span>
<span class="nb">len</span><span class="p">(</span><span class="nb">str</span><span class="p">(</span><span class="n">s7</span><span class="p">))</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">s7</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">s7</span><span class="p">)</span>
<span class="nb">len</span><span class="p">(</span><span class="nb">str</span><span class="p">(</span><span class="n">s7</span><span class="p">))</span>
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<p>Once was enough (we should consider adding a call to <code>simplify()</code> in the <code>full_bit_adder()</code> function.)</p>
<p>Let's try using <code>each_way()</code> with the most common names in the form.</p>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">s7</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">each_way</span><span class="p">(</span><span class="n">s7</span><span class="p">,</span> <span class="s1">&#39;a0&#39;</span><span class="p">))</span>
<span class="nb">len</span><span class="p">(</span><span class="nb">str</span><span class="p">(</span><span class="n">s7</span><span class="p">))</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">s7</span> <span class="o">=</span> <span class="n">simplify</span><span class="p">(</span><span class="n">s7</span><span class="p">)</span>
<span class="nb">len</span><span class="p">(</span><span class="nb">str</span><span class="p">(</span><span class="n">s7</span><span class="p">))</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">Counter</span><span class="p">(</span><span class="n">yield_variables_of</span><span class="p">(</span><span class="n">s7</span><span class="p">))</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">s7</span> <span class="o">=</span> <span class="n">sum7</span>
<span class="c1">#for name, count in histo.most_common():</span>
<span class="c1"># s7 = simplify(each_way(s7, name))</span>
<span class="c1"># print len(str(s7))</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">super_simple</span><span class="p">(</span><span class="n">form</span><span class="p">):</span>
<span class="k">return</span> <span class="n">to_fixed_point</span><span class="p">(</span><span class="n">form</span><span class="p">,</span> <span class="n">simplify</span><span class="p">)</span>
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<span class="n">s7</span> <span class="o">=</span> <span class="n">super_simple</span><span class="p">(</span><span class="n">sum7</span><span class="p">)</span>
<span class="nb">len</span><span class="p">(</span><span class="nb">str</span><span class="p">(</span><span class="n">s7</span><span class="p">))</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="n">s7</span> <span class="o">=</span> <span class="n">sum7</span>
<span class="c1">#for name, count in histo.most_common():</span>
<span class="c1"># s7 = super_simple(each_way(s7, name))</span>
<span class="c1"># print len(str(s7))</span>
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<div class=" highlight hl-ipython2"><pre><span></span><span class="nb">print</span> <span class="s1">&#39; &#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">name</span><span class="p">[:</span><span class="mi">2</span><span class="p">]</span> <span class="k">for</span> <span class="n">name</span> <span class="ow">in</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">R</span><span class="p">))</span>
<span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">20</span><span class="p">):</span>
<span class="nb">print</span> <span class="n">format_env</span><span class="p">(</span><span class="n">R</span><span class="p">),</span> <span class="s1">&#39;=&#39;</span><span class="p">,</span> <span class="n">b_register</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
<span class="n">R</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">cycle</span><span class="p">(</span><span class="n">P</span><span class="p">,</span> <span class="n">R</span><span class="p">))</span>
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