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1398 lines
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<div class="section" id="functions-grouped-by-er-function-with-examples">
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<h1>Functions Grouped by, er, Function with Examples<a class="headerlink" href="#functions-grouped-by-er-function-with-examples" title="Permalink to this headline">¶</a></h1>
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<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">notebook_preamble</span> <span class="k">import</span> <span class="n">J</span><span class="p">,</span> <span class="n">V</span>
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</pre></div>
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</div>
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<div class="section" id="stack-chatter">
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<h2>Stack Chatter<a class="headerlink" href="#stack-chatter" title="Permalink to this headline">¶</a></h2>
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<p>This is what I like to call the functions that just rearrange things on
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the stack. (One thing I want to mention is that during a hypothetical
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compilation phase these “stack chatter” words effectively disappear
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because we can map the logical stack locations to registers that remain
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static for the duration of the computation. This remains to be done but
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it’s “off the shelf” technology.)</p>
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<div class="section" id="clear">
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<h3><code class="docutils literal notranslate"><span class="pre">clear</span></code><a class="headerlink" href="#clear" title="Permalink to this headline">¶</a></h3>
|
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<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 clear'</span><span class="p">)</span>
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</pre></div>
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</div>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="n">nothing</span><span class="p">)</span>
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</pre></div>
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</div>
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</div>
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<div class="section" id="dup-dupd">
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<h3><code class="docutils literal notranslate"><span class="pre">dup</span></code> <code class="docutils literal notranslate"><span class="pre">dupd</span></code><a class="headerlink" href="#dup-dupd" title="Permalink to this headline">¶</a></h3>
|
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<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 dup'</span><span class="p">)</span>
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</pre></div>
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</div>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">3</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 dupd'</span><span class="p">)</span>
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</pre></div>
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</div>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">2</span> <span class="mi">3</span>
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</pre></div>
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</div>
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</div>
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<div class="section" id="enstacken-disenstacken-stack-unstack">
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<h3><code class="docutils literal notranslate"><span class="pre">enstacken</span></code> <code class="docutils literal notranslate"><span class="pre">disenstacken</span></code> <code class="docutils literal notranslate"><span class="pre">stack</span></code> <code class="docutils literal notranslate"><span class="pre">unstack</span></code><a class="headerlink" href="#enstacken-disenstacken-stack-unstack" title="Permalink to this headline">¶</a></h3>
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<p>(I may have these paired up wrong. I.e. <code class="docutils literal notranslate"><span class="pre">disenstacken</span></code> should be
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<code class="docutils literal notranslate"><span class="pre">unstack</span></code> and vice versa.)</p>
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<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 enstacken'</span><span class="p">)</span> <span class="c1"># Replace the stack with a quote of itself.</span>
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</pre></div>
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</div>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span><span class="p">]</span>
|
||
</pre></div>
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</div>
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<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'4 5 6 [3 2 1] disenstacken'</span><span class="p">)</span> <span class="c1"># Unpack a list onto the stack.</span>
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</pre></div>
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</div>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span> <span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span>
|
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</pre></div>
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</div>
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<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 stack'</span><span class="p">)</span> <span class="c1"># Get the stack on the stack.</span>
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</pre></div>
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</div>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span><span class="p">]</span>
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</pre></div>
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</div>
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<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 [4 5 6] unstack'</span><span class="p">)</span> <span class="c1"># Replace the stack with the list on top.</span>
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<span class="c1"># The items appear reversed but they are not,</span>
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<span class="c1"># 4 is on the top of both the list and the stack.</span>
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</pre></div>
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</div>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">6</span> <span class="mi">5</span> <span class="mi">4</span>
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</pre></div>
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</div>
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</div>
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<div class="section" id="pop-popd-popop">
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<h3><code class="docutils literal notranslate"><span class="pre">pop</span></code> <code class="docutils literal notranslate"><span class="pre">popd</span></code> <code class="docutils literal notranslate"><span class="pre">popop</span></code><a class="headerlink" href="#pop-popd-popop" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 pop'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">2</span>
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||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 popd'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">3</span>
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</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 popop'</span><span class="p">)</span>
|
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</pre></div>
|
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</div>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span>
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||
</pre></div>
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||
</div>
|
||
</div>
|
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<div class="section" id="roll-rolldown-roll-rollup">
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||
<h3><code class="docutils literal notranslate"><span class="pre">roll<</span></code> <code class="docutils literal notranslate"><span class="pre">rolldown</span></code> <code class="docutils literal notranslate"><span class="pre">roll></span></code> <code class="docutils literal notranslate"><span class="pre">rollup</span></code><a class="headerlink" href="#roll-rolldown-roll-rollup" title="Permalink to this headline">¶</a></h3>
|
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<p>The “down” and “up” refer to the movement of two of the top three items
|
||
(displacing the third.)</p>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 roll<'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">2</span> <span class="mi">3</span> <span class="mi">1</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 roll>'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
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||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span>
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||
</pre></div>
|
||
</div>
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</div>
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||
<div class="section" id="swap">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">swap</span></code><a class="headerlink" href="#swap" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 swap'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">2</span>
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</pre></div>
|
||
</div>
|
||
</div>
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||
<div class="section" id="tuck-over">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">tuck</span></code> <code class="docutils literal notranslate"><span class="pre">over</span></code><a class="headerlink" href="#tuck-over" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 tuck'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">2</span> <span class="mi">3</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 over'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">2</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="unit-quoted-unquoted">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">unit</span></code> <code class="docutils literal notranslate"><span class="pre">quoted</span></code> <code class="docutils literal notranslate"><span class="pre">unquoted</span></code><a class="headerlink" href="#unit-quoted-unquoted" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 unit'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">2</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 quoted'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="mi">3</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 [2] 3 unquoted'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">'1 [dup] 3 unquoted'</span><span class="p">)</span> <span class="c1"># Unquoting evaluates. Be aware.</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> <span class="o">.</span> <span class="mi">1</span> <span class="p">[</span><span class="n">dup</span><span class="p">]</span> <span class="mi">3</span> <span class="n">unquoted</span>
|
||
<span class="mi">1</span> <span class="o">.</span> <span class="p">[</span><span class="n">dup</span><span class="p">]</span> <span class="mi">3</span> <span class="n">unquoted</span>
|
||
<span class="mi">1</span> <span class="p">[</span><span class="n">dup</span><span class="p">]</span> <span class="o">.</span> <span class="mi">3</span> <span class="n">unquoted</span>
|
||
<span class="mi">1</span> <span class="p">[</span><span class="n">dup</span><span class="p">]</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">unquoted</span>
|
||
<span class="mi">1</span> <span class="p">[</span><span class="n">dup</span><span class="p">]</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="n">dip</span>
|
||
<span class="mi">1</span> <span class="p">[</span><span class="n">dup</span><span class="p">]</span> <span class="mi">3</span> <span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">.</span> <span class="n">dip</span>
|
||
<span class="mi">1</span> <span class="p">[</span><span class="n">dup</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">3</span>
|
||
<span class="mi">1</span> <span class="o">.</span> <span class="n">dup</span> <span class="mi">3</span>
|
||
<span class="mi">1</span> <span class="mi">1</span> <span class="o">.</span> <span class="mi">3</span>
|
||
<span class="mi">1</span> <span class="mi">1</span> <span class="mi">3</span> <span class="o">.</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="list-words">
|
||
<h2>List words<a class="headerlink" href="#list-words" title="Permalink to this headline">¶</a></h2>
|
||
<div class="section" id="concat-swoncat-shunt">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">concat</span></code> <code class="docutils literal notranslate"><span class="pre">swoncat</span></code> <code class="docutils literal notranslate"><span class="pre">shunt</span></code><a class="headerlink" href="#concat-swoncat-shunt" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3] [4 5 6] concat'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3] [4 5 6] swoncat'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3] [4 5 6] shunt'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">6</span> <span class="mi">5</span> <span class="mi">4</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="cons-swons-uncons">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">cons</span></code> <code class="docutils literal notranslate"><span class="pre">swons</span></code> <code class="docutils literal notranslate"><span class="pre">uncons</span></code><a class="headerlink" href="#cons-swons-uncons" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 [2 3] cons'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[2 3] 1 swons'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3] uncons'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="first-second-third-rest">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">first</span></code> <code class="docutils literal notranslate"><span class="pre">second</span></code> <code class="docutils literal notranslate"><span class="pre">third</span></code> <code class="docutils literal notranslate"><span class="pre">rest</span></code><a class="headerlink" href="#first-second-third-rest" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 4] first'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 4] second'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">2</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 4] third'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">3</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 4] rest'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">2</span> <span class="mi">3</span> <span class="mi">4</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="flatten">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">flatten</span></code><a class="headerlink" href="#flatten" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[[1] [2 [3] 4] [5 6]] flatten'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="getitem-at-of-drop-take">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">getitem</span></code> <code class="docutils literal notranslate"><span class="pre">at</span></code> <code class="docutils literal notranslate"><span class="pre">of</span></code> <code class="docutils literal notranslate"><span class="pre">drop</span></code> <code class="docutils literal notranslate"><span class="pre">take</span></code><a class="headerlink" href="#getitem-at-of-drop-take" title="Permalink to this headline">¶</a></h3>
|
||
<p><code class="docutils literal notranslate"><span class="pre">at</span></code> and <code class="docutils literal notranslate"><span class="pre">getitem</span></code> are the same function. <code class="docutils literal notranslate"><span class="pre">of</span> <span class="pre">==</span> <span class="pre">swap</span> <span class="pre">at</span></code></p>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[10 11 12 13 14] 2 getitem'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">12</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 4] 0 at'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'2 [1 2 3 4] of'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">3</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 4] 2 drop'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">3</span> <span class="mi">4</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 4] 2 take'</span><span class="p">)</span> <span class="c1"># reverses the order</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">2</span> <span class="mi">1</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
<p><code class="docutils literal notranslate"><span class="pre">reverse</span></code> could be defines as <code class="docutils literal notranslate"><span class="pre">reverse</span> <span class="pre">==</span> <span class="pre">dup</span> <span class="pre">size</span> <span class="pre">take</span></code></p>
|
||
</div>
|
||
<div class="section" id="remove">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">remove</span></code><a class="headerlink" href="#remove" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 1 4] 1 remove'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">2</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">4</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="reverse">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">reverse</span></code><a class="headerlink" href="#reverse" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 4] reverse'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">4</span> <span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="size">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">size</span></code><a class="headerlink" href="#size" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 1 1 1] size'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">4</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="swaack">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">swaack</span></code><a class="headerlink" href="#swaack" title="Permalink to this headline">¶</a></h3>
|
||
<p>“Swap stack” swap the list on the top of the stack for the stack, and
|
||
put the old stack on top of the new one. Think of it as a context
|
||
switch. Niether of the lists/stacks change their order.</p>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 [4 5 6] swaack'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">6</span> <span class="mi">5</span> <span class="mi">4</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="choice-select">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">choice</span></code> <code class="docutils literal notranslate"><span class="pre">select</span></code><a class="headerlink" href="#choice-select" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 9 1 choice'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">9</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 9 0 choice'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">23</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[23 9 7] 1 select'</span><span class="p">)</span> <span class="c1"># select is basically getitem, should retire it?</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">9</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[23 9 7] 0 select'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">23</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="zip">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">zip</span></code><a class="headerlink" href="#zip" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3] [6 5 4] zip'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[[</span><span class="mi">6</span> <span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">5</span> <span class="mi">2</span><span class="p">]</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">3</span><span class="p">]]</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3] [6 5 4] zip [sum] map'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">7</span> <span class="mi">7</span> <span class="mi">7</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="math-words">
|
||
<h2>Math words<a class="headerlink" href="#math-words" title="Permalink to this headline">¶</a></h2>
|
||
<div class="section" id="add">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">+</span></code> <code class="docutils literal notranslate"><span class="pre">add</span></code><a class="headerlink" href="#add" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 9 +'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">32</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="sub">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">-</span></code> <code class="docutils literal notranslate"><span class="pre">sub</span></code><a class="headerlink" href="#sub" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 9 -'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">14</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="mul">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">*</span></code> <code class="docutils literal notranslate"><span class="pre">mul</span></code><a class="headerlink" href="#mul" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 9 *'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">207</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="div-floordiv-truediv">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">/</span></code> <code class="docutils literal notranslate"><span class="pre">div</span></code> <code class="docutils literal notranslate"><span class="pre">floordiv</span></code> <code class="docutils literal notranslate"><span class="pre">truediv</span></code><a class="headerlink" href="#div-floordiv-truediv" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 9 /'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mf">2.5555555555555554</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 -9 truediv'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="o">-</span><span class="mf">2.5555555555555554</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 9 div'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">2</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 9 floordiv'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">2</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 -9 div'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="o">-</span><span class="mi">3</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 -9 floordiv'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="o">-</span><span class="mi">3</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="mod-modulus-rem-remainder">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">%</span></code> <code class="docutils literal notranslate"><span class="pre">mod</span></code> <code class="docutils literal notranslate"><span class="pre">modulus</span></code> <code class="docutils literal notranslate"><span class="pre">rem</span></code> <code class="docutils literal notranslate"><span class="pre">remainder</span></code><a class="headerlink" href="#mod-modulus-rem-remainder" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 9 %'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">5</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="neg">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">neg</span></code><a class="headerlink" href="#neg" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 neg -5 neg'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="o">-</span><span class="mi">23</span> <span class="mi">5</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="pow">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">pow</span></code><a class="headerlink" href="#pow" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'2 10 pow'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1024</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="sqr-sqrt">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">sqr</span></code> <code class="docutils literal notranslate"><span class="pre">sqrt</span></code><a class="headerlink" href="#sqr-sqrt" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 sqr'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">529</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 sqrt'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mf">4.795831523312719</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="succ-pred">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">++</span></code> <code class="docutils literal notranslate"><span class="pre">succ</span></code> <code class="docutils literal notranslate"><span class="pre">--</span></code> <code class="docutils literal notranslate"><span class="pre">pred</span></code><a class="headerlink" href="#succ-pred" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 ++'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">2</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 --'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">0</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="lshift-rshift">
|
||
<h3><code class="docutils literal notranslate"><span class="pre"><<</span></code> <code class="docutils literal notranslate"><span class="pre">lshift</span></code> <code class="docutils literal notranslate"><span class="pre">>></span></code> <code class="docutils literal notranslate"><span class="pre">rshift</span></code><a class="headerlink" href="#lshift-rshift" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'8 1 <<'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">16</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'8 1 >>'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">4</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="average">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">average</span></code><a class="headerlink" href="#average" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 5] average'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mf">2.75</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="range-range-to-zero-down-to-zero">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">range</span></code> <code class="docutils literal notranslate"><span class="pre">range_to_zero</span></code> <code class="docutils literal notranslate"><span class="pre">down_to_zero</span></code><a class="headerlink" href="#range-range-to-zero-down-to-zero" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'5 range'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">4</span> <span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">0</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'5 range_to_zero'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">0</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">4</span> <span class="mi">5</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'5 down_to_zero'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">5</span> <span class="mi">4</span> <span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">0</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="product">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">product</span></code><a class="headerlink" href="#product" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 5] product'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">30</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="sum">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">sum</span></code><a class="headerlink" href="#sum" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 5] sum'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">11</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="min">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">min</span></code><a class="headerlink" href="#min" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 3 5] min'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="gcd">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">gcd</span></code><a class="headerlink" href="#gcd" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'45 30 gcd'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">15</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="least-fraction">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">least_fraction</span></code><a class="headerlink" href="#least-fraction" title="Permalink to this headline">¶</a></h3>
|
||
<p>If we represent fractions as a quoted pair of integers [q d] this word
|
||
reduces them to their … least common factors or whatever.</p>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[45 30] least_fraction'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">3</span> <span class="mi">2</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[23 12] least_fraction'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">23</span> <span class="mi">12</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="logic-and-comparison">
|
||
<h2>Logic and Comparison<a class="headerlink" href="#logic-and-comparison" title="Permalink to this headline">¶</a></h2>
|
||
<div class="section" id="truthy">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">?</span></code> <code class="docutils literal notranslate"><span class="pre">truthy</span></code><a class="headerlink" href="#truthy" title="Permalink to this headline">¶</a></h3>
|
||
<p>Get the Boolean value of the item on the top of the stack.</p>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 truthy'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kc">True</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[] truthy'</span><span class="p">)</span> <span class="c1"># Python semantics.</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kc">False</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'0 truthy'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kc">False</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>? == dup truthy
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">'23 ?'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> . 23 ?
|
||
23 . ?
|
||
23 . dup truthy
|
||
23 23 . truthy
|
||
23 True .
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[] ?'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[]</span> <span class="kc">False</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'0 ?'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">0</span> <span class="kc">False</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="and">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">&</span></code> <code class="docutils literal notranslate"><span class="pre">and</span></code><a class="headerlink" href="#and" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 9 &'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="ne">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">!=</span></code> <code class="docutils literal notranslate"><span class="pre"><></span></code> <code class="docutils literal notranslate"><span class="pre">ne</span></code><a class="headerlink" href="#ne" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'23 9 !='</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kc">True</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="line-block">
|
||
<div class="line">The usual suspects: - <code class="docutils literal notranslate"><span class="pre"><</span></code> <code class="docutils literal notranslate"><span class="pre">lt</span></code> - <code class="docutils literal notranslate"><span class="pre"><=</span></code> <code class="docutils literal notranslate"><span class="pre">le</span></code></div>
|
||
<div class="line">- <code class="docutils literal notranslate"><span class="pre">=</span></code> <code class="docutils literal notranslate"><span class="pre">eq</span></code> - <code class="docutils literal notranslate"><span class="pre">></span></code> <code class="docutils literal notranslate"><span class="pre">gt</span></code> - <code class="docutils literal notranslate"><span class="pre">>=</span></code> <code class="docutils literal notranslate"><span class="pre">ge</span></code> - <code class="docutils literal notranslate"><span class="pre">not</span></code> - <code class="docutils literal notranslate"><span class="pre">or</span></code></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="xor">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">^</span></code> <code class="docutils literal notranslate"><span class="pre">xor</span></code><a class="headerlink" href="#xor" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 1 ^'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">0</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 0 ^'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="miscellaneous">
|
||
<h2>Miscellaneous<a class="headerlink" href="#miscellaneous" title="Permalink to this headline">¶</a></h2>
|
||
<div class="section" id="help">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">help</span></code><a class="headerlink" href="#help" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[help] help'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Accepts</span> <span class="n">a</span> <span class="n">quoted</span> <span class="n">symbol</span> <span class="n">on</span> <span class="n">the</span> <span class="n">top</span> <span class="n">of</span> <span class="n">the</span> <span class="n">stack</span> <span class="ow">and</span> <span class="n">prints</span> <span class="n">its</span> <span class="n">docs</span><span class="o">.</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="parse">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">parse</span></code><a class="headerlink" href="#parse" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[parse] help'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Parse</span> <span class="n">the</span> <span class="n">string</span> <span class="n">on</span> <span class="n">the</span> <span class="n">stack</span> <span class="n">to</span> <span class="n">a</span> <span class="n">Joy</span> <span class="n">expression</span><span class="o">.</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 "2 [3] dup" parse'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="p">[</span><span class="mi">2</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="n">dup</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="run">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">run</span></code><a class="headerlink" href="#run" title="Permalink to this headline">¶</a></h3>
|
||
<p>Evaluate a quoted Joy sequence.</p>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[1 2 dup + +] run'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">5</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="combinators">
|
||
<h2>Combinators<a class="headerlink" href="#combinators" title="Permalink to this headline">¶</a></h2>
|
||
<div class="section" id="app1-app2-app3">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">app1</span></code> <code class="docutils literal notranslate"><span class="pre">app2</span></code> <code class="docutils literal notranslate"><span class="pre">app3</span></code><a class="headerlink" href="#app1-app2-app3" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[app1] help'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Given</span> <span class="n">a</span> <span class="n">quoted</span> <span class="n">program</span> <span class="n">on</span> <span class="n">TOS</span> <span class="ow">and</span> <span class="n">anything</span> <span class="k">as</span> <span class="n">the</span> <span class="n">second</span> <span class="n">stack</span> <span class="n">item</span> <span class="n">run</span>
|
||
<span class="n">the</span> <span class="n">program</span> <span class="ow">and</span> <span class="n">replace</span> <span class="n">the</span> <span class="n">two</span> <span class="n">args</span> <span class="k">with</span> <span class="n">the</span> <span class="n">first</span> <span class="n">result</span> <span class="n">of</span> <span class="n">the</span>
|
||
<span class="n">program</span><span class="o">.</span>
|
||
|
||
<span class="o">...</span> <span class="n">x</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="o">.</span> <span class="n">app1</span>
|
||
<span class="o">-----------------------------------</span>
|
||
<span class="o">...</span> <span class="p">[</span><span class="n">x</span> <span class="o">...</span><span class="p">]</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="o">.</span> <span class="n">infra</span> <span class="n">first</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'10 4 [sqr *] app1'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">10</span> <span class="mi">160</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'10 3 4 [sqr *] app2'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">10</span> <span class="mi">90</span> <span class="mi">160</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[app2] help'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Like</span> <span class="n">app1</span> <span class="k">with</span> <span class="n">two</span> <span class="n">items</span><span class="o">.</span>
|
||
|
||
<span class="o">...</span> <span class="n">y</span> <span class="n">x</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="o">.</span> <span class="n">app2</span>
|
||
<span class="o">-----------------------------------</span>
|
||
<span class="o">...</span> <span class="p">[</span><span class="n">y</span> <span class="o">...</span><span class="p">]</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="o">.</span> <span class="n">infra</span> <span class="n">first</span>
|
||
<span class="p">[</span><span class="n">x</span> <span class="o">...</span><span class="p">]</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">infra</span> <span class="n">first</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'10 2 3 4 [sqr *] app3'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">10</span> <span class="mi">40</span> <span class="mi">90</span> <span class="mi">160</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="anamorphism">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">anamorphism</span></code><a class="headerlink" href="#anamorphism" title="Permalink to this headline">¶</a></h3>
|
||
<p>Given an initial value, a predicate function <code class="docutils literal notranslate"><span class="pre">[P]</span></code>, and a generator
|
||
function <code class="docutils literal notranslate"><span class="pre">[G]</span></code>, the <code class="docutils literal notranslate"><span class="pre">anamorphism</span></code> combinator creates a sequence.</p>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> <span class="n">n</span> <span class="p">[</span><span class="n">P</span><span class="p">]</span> <span class="p">[</span><span class="n">G</span><span class="p">]</span> <span class="n">anamorphism</span>
|
||
<span class="o">---------------------------</span>
|
||
<span class="p">[</span><span class="o">...</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
<p>Example, <code class="docutils literal notranslate"><span class="pre">range</span></code>:</p>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="nb">range</span> <span class="o">==</span> <span class="p">[</span><span class="mi">0</span> <span class="o"><=</span><span class="p">]</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">anamorphism</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'3 [0 <=] [1 - dup] anamorphism'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">0</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="branch">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">branch</span></code><a class="headerlink" href="#branch" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'3 4 1 [+] [*] branch'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">12</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'3 4 0 [+] [*] branch'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">7</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="cleave">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">cleave</span></code><a class="headerlink" href="#cleave" title="Permalink to this headline">¶</a></h3>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="o">...</span> <span class="n">x</span> <span class="p">[</span><span class="n">P</span><span class="p">]</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">cleave</span>
|
||
</pre></div>
|
||
</div>
|
||
<p>From the original Joy docs: “The cleave combinator expects two
|
||
quotations, and below that an item <code class="docutils literal notranslate"><span class="pre">x</span></code> It first executes <code class="docutils literal notranslate"><span class="pre">[P]</span></code>, with
|
||
<code class="docutils literal notranslate"><span class="pre">x</span></code> on top, and saves the top result element. Then it executes
|
||
<code class="docutils literal notranslate"><span class="pre">[Q]</span></code>, again with <code class="docutils literal notranslate"><span class="pre">x</span></code>, and saves the top result. Finally it restores
|
||
the stack to what it was below <code class="docutils literal notranslate"><span class="pre">x</span></code> and pushes the two results P(X) and
|
||
Q(X).”</p>
|
||
<p>Note that <code class="docutils literal notranslate"><span class="pre">P</span></code> and <code class="docutils literal notranslate"><span class="pre">Q</span></code> can use items from the stack freely, since the
|
||
stack (below <code class="docutils literal notranslate"><span class="pre">x</span></code>) is restored. <code class="docutils literal notranslate"><span class="pre">cleave</span></code> is a kind of <em>parallel</em>
|
||
primitive, and it would make sense to create a version that uses, e.g.
|
||
Python threads or something, to actually run <code class="docutils literal notranslate"><span class="pre">P</span></code> and <code class="docutils literal notranslate"><span class="pre">Q</span></code>
|
||
concurrently. The current implementation of <code class="docutils literal notranslate"><span class="pre">cleave</span></code> is a definition
|
||
in terms of <code class="docutils literal notranslate"><span class="pre">app2</span></code>:</p>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">cleave</span> <span class="o">==</span> <span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="n">app2</span> <span class="p">[</span><span class="n">popd</span><span class="p">]</span> <span class="n">dip</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'10 2 [+] [-] cleave'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">10</span> <span class="mi">12</span> <span class="mi">8</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="dip-dipd-dipdd">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">dip</span></code> <code class="docutils literal notranslate"><span class="pre">dipd</span></code> <code class="docutils literal notranslate"><span class="pre">dipdd</span></code><a class="headerlink" href="#dip-dipd-dipdd" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 4 5 [+] dip'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">7</span> <span class="mi">5</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 4 5 [+] dipd'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">5</span> <span class="mi">4</span> <span class="mi">5</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 4 5 [+] dipdd'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">3</span> <span class="mi">3</span> <span class="mi">4</span> <span class="mi">5</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="dupdip">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">dupdip</span></code><a class="headerlink" href="#dupdip" title="Permalink to this headline">¶</a></h3>
|
||
<p>Expects a quoted program <code class="docutils literal notranslate"><span class="pre">[Q]</span></code> on the stack and some item under it,
|
||
<code class="docutils literal notranslate"><span class="pre">dup</span></code> the item and <code class="docutils literal notranslate"><span class="pre">dip</span></code> the quoted program under it.</p>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">n</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">dupdip</span> <span class="o">==</span> <span class="n">n</span> <span class="n">Q</span> <span class="n">n</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">'23 [++] dupdip *'</span><span class="p">)</span> <span class="c1"># N(N + 1)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> <span class="o">.</span> <span class="mi">23</span> <span class="p">[</span><span class="o">++</span><span class="p">]</span> <span class="n">dupdip</span> <span class="o">*</span>
|
||
<span class="mi">23</span> <span class="o">.</span> <span class="p">[</span><span class="o">++</span><span class="p">]</span> <span class="n">dupdip</span> <span class="o">*</span>
|
||
<span class="mi">23</span> <span class="p">[</span><span class="o">++</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="o">*</span>
|
||
<span class="mi">23</span> <span class="o">.</span> <span class="o">++</span> <span class="mi">23</span> <span class="o">*</span>
|
||
<span class="mi">24</span> <span class="o">.</span> <span class="mi">23</span> <span class="o">*</span>
|
||
<span class="mi">24</span> <span class="mi">23</span> <span class="o">.</span> <span class="o">*</span>
|
||
<span class="mi">552</span> <span class="o">.</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="genrec-primrec">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">genrec</span></code> <code class="docutils literal notranslate"><span class="pre">primrec</span></code><a class="headerlink" href="#genrec-primrec" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[genrec] help'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">General</span> <span class="n">Recursion</span> <span class="n">Combinator</span><span class="o">.</span>
|
||
|
||
<span class="p">[</span><span class="k">if</span><span class="p">]</span> <span class="p">[</span><span class="n">then</span><span class="p">]</span> <span class="p">[</span><span class="n">rec1</span><span class="p">]</span> <span class="p">[</span><span class="n">rec2</span><span class="p">]</span> <span class="n">genrec</span>
|
||
<span class="o">---------------------------------------------------------------------</span>
|
||
<span class="p">[</span><span class="k">if</span><span class="p">]</span> <span class="p">[</span><span class="n">then</span><span class="p">]</span> <span class="p">[</span><span class="n">rec1</span> <span class="p">[[</span><span class="k">if</span><span class="p">]</span> <span class="p">[</span><span class="n">then</span><span class="p">]</span> <span class="p">[</span><span class="n">rec1</span><span class="p">]</span> <span class="p">[</span><span class="n">rec2</span><span class="p">]</span> <span class="n">genrec</span><span class="p">]</span> <span class="n">rec2</span><span class="p">]</span> <span class="n">ifte</span>
|
||
|
||
<span class="n">From</span> <span class="s2">"Recursion Theory and Joy"</span> <span class="p">(</span><span class="n">j05cmp</span><span class="o">.</span><span class="n">html</span><span class="p">)</span> <span class="n">by</span> <span class="n">Manfred</span> <span class="n">von</span> <span class="n">Thun</span><span class="p">:</span>
|
||
<span class="s2">"The genrec combinator takes four program parameters in addition to</span>
|
||
<span class="n">whatever</span> <span class="n">data</span> <span class="n">parameters</span> <span class="n">it</span> <span class="n">needs</span><span class="o">.</span> <span class="n">Fourth</span> <span class="kn">from</span> <span class="nn">the</span> <span class="n">top</span> <span class="ow">is</span> <span class="n">an</span> <span class="k">if</span><span class="o">-</span><span class="n">part</span><span class="p">,</span>
|
||
<span class="n">followed</span> <span class="n">by</span> <span class="n">a</span> <span class="n">then</span><span class="o">-</span><span class="n">part</span><span class="o">.</span> <span class="n">If</span> <span class="n">the</span> <span class="k">if</span><span class="o">-</span><span class="n">part</span> <span class="n">yields</span> <span class="n">true</span><span class="p">,</span> <span class="n">then</span> <span class="n">the</span> <span class="n">then</span><span class="o">-</span><span class="n">part</span>
|
||
<span class="ow">is</span> <span class="n">executed</span> <span class="ow">and</span> <span class="n">the</span> <span class="n">combinator</span> <span class="n">terminates</span><span class="o">.</span> <span class="n">The</span> <span class="n">other</span> <span class="n">two</span> <span class="n">parameters</span> <span class="n">are</span>
|
||
<span class="n">the</span> <span class="n">rec1</span><span class="o">-</span><span class="n">part</span> <span class="ow">and</span> <span class="n">the</span> <span class="n">rec2</span><span class="o">-</span><span class="n">part</span><span class="o">.</span> <span class="n">If</span> <span class="n">the</span> <span class="k">if</span><span class="o">-</span><span class="n">part</span> <span class="n">yields</span> <span class="n">false</span><span class="p">,</span> <span class="n">the</span>
|
||
<span class="n">rec1</span><span class="o">-</span><span class="n">part</span> <span class="ow">is</span> <span class="n">executed</span><span class="o">.</span> <span class="n">Following</span> <span class="n">that</span> <span class="n">the</span> <span class="n">four</span> <span class="n">program</span> <span class="n">parameters</span> <span class="ow">and</span>
|
||
<span class="n">the</span> <span class="n">combinator</span> <span class="n">are</span> <span class="n">again</span> <span class="n">pushed</span> <span class="n">onto</span> <span class="n">the</span> <span class="n">stack</span> <span class="n">bundled</span> <span class="n">up</span> <span class="ow">in</span> <span class="n">a</span> <span class="n">quoted</span>
|
||
<span class="n">form</span><span class="o">.</span> <span class="n">Then</span> <span class="n">the</span> <span class="n">rec2</span><span class="o">-</span><span class="n">part</span> <span class="ow">is</span> <span class="n">executed</span><span class="p">,</span> <span class="n">where</span> <span class="n">it</span> <span class="n">will</span> <span class="n">find</span> <span class="n">the</span> <span class="n">bundled</span>
|
||
<span class="n">form</span><span class="o">.</span> <span class="n">Typically</span> <span class="n">it</span> <span class="n">will</span> <span class="n">then</span> <span class="n">execute</span> <span class="n">the</span> <span class="n">bundled</span> <span class="n">form</span><span class="p">,</span> <span class="n">either</span> <span class="k">with</span> <span class="n">i</span> <span class="ow">or</span>
|
||
<span class="k">with</span> <span class="n">app2</span><span class="p">,</span> <span class="ow">or</span> <span class="n">some</span> <span class="n">other</span> <span class="n">combinator</span><span class="o">.</span><span class="s2">"</span>
|
||
|
||
<span class="n">The</span> <span class="n">way</span> <span class="n">to</span> <span class="n">design</span> <span class="n">one</span> <span class="n">of</span> <span class="n">these</span> <span class="ow">is</span> <span class="n">to</span> <span class="n">fix</span> <span class="n">your</span> <span class="n">base</span> <span class="n">case</span> <span class="p">[</span><span class="n">then</span><span class="p">]</span> <span class="ow">and</span> <span class="n">the</span>
|
||
<span class="n">test</span> <span class="p">[</span><span class="k">if</span><span class="p">],</span> <span class="ow">and</span> <span class="n">then</span> <span class="n">treat</span> <span class="n">rec1</span> <span class="ow">and</span> <span class="n">rec2</span> <span class="k">as</span> <span class="n">an</span> <span class="k">else</span><span class="o">-</span><span class="n">part</span> <span class="s2">"sandwiching"</span>
|
||
<span class="n">a</span> <span class="n">quotation</span> <span class="n">of</span> <span class="n">the</span> <span class="n">whole</span> <span class="n">function</span><span class="o">.</span>
|
||
|
||
<span class="n">For</span> <span class="n">example</span><span class="p">,</span> <span class="n">given</span> <span class="n">a</span> <span class="p">(</span><span class="n">general</span> <span class="n">recursive</span><span class="p">)</span> <span class="n">function</span> <span class="s1">'F'</span><span class="p">:</span>
|
||
|
||
<span class="n">F</span> <span class="o">==</span> <span class="p">[</span><span class="n">I</span><span class="p">]</span> <span class="p">[</span><span class="n">T</span><span class="p">]</span> <span class="p">[</span><span class="n">R1</span><span class="p">]</span> <span class="p">[</span><span class="n">R2</span><span class="p">]</span> <span class="n">genrec</span>
|
||
|
||
<span class="n">If</span> <span class="n">the</span> <span class="p">[</span><span class="n">I</span><span class="p">]</span> <span class="k">if</span><span class="o">-</span><span class="n">part</span> <span class="n">fails</span> <span class="n">you</span> <span class="n">must</span> <span class="n">derive</span> <span class="n">R1</span> <span class="ow">and</span> <span class="n">R2</span> <span class="n">from</span><span class="p">:</span>
|
||
|
||
<span class="o">...</span> <span class="n">R1</span> <span class="p">[</span><span class="n">F</span><span class="p">]</span> <span class="n">R2</span>
|
||
|
||
<span class="n">Just</span> <span class="nb">set</span> <span class="n">the</span> <span class="n">stack</span> <span class="n">arguments</span> <span class="ow">in</span> <span class="n">front</span><span class="p">,</span> <span class="ow">and</span> <span class="n">figure</span> <span class="n">out</span> <span class="n">what</span> <span class="n">R1</span> <span class="ow">and</span> <span class="n">R2</span>
|
||
<span class="n">have</span> <span class="n">to</span> <span class="n">do</span> <span class="n">to</span> <span class="n">apply</span> <span class="n">the</span> <span class="n">quoted</span> <span class="p">[</span><span class="n">F</span><span class="p">]</span> <span class="ow">in</span> <span class="n">the</span> <span class="n">proper</span> <span class="n">way</span><span class="o">.</span> <span class="n">In</span> <span class="n">effect</span><span class="p">,</span> <span class="n">the</span>
|
||
<span class="n">genrec</span> <span class="n">combinator</span> <span class="n">turns</span> <span class="n">into</span> <span class="n">an</span> <span class="n">ifte</span> <span class="n">combinator</span> <span class="k">with</span> <span class="n">a</span> <span class="n">quoted</span> <span class="n">copy</span> <span class="n">of</span>
|
||
<span class="n">the</span> <span class="n">original</span> <span class="n">definition</span> <span class="ow">in</span> <span class="n">the</span> <span class="k">else</span><span class="o">-</span><span class="n">part</span><span class="p">:</span>
|
||
|
||
<span class="n">F</span> <span class="o">==</span> <span class="p">[</span><span class="n">I</span><span class="p">]</span> <span class="p">[</span><span class="n">T</span><span class="p">]</span> <span class="p">[</span><span class="n">R1</span><span class="p">]</span> <span class="p">[</span><span class="n">R2</span><span class="p">]</span> <span class="n">genrec</span>
|
||
<span class="o">==</span> <span class="p">[</span><span class="n">I</span><span class="p">]</span> <span class="p">[</span><span class="n">T</span><span class="p">]</span> <span class="p">[</span><span class="n">R1</span> <span class="p">[</span><span class="n">F</span><span class="p">]</span> <span class="n">R2</span><span class="p">]</span> <span class="n">ifte</span>
|
||
|
||
<span class="p">(</span><span class="n">Primitive</span> <span class="n">recursive</span> <span class="n">functions</span> <span class="n">are</span> <span class="n">those</span> <span class="n">where</span> <span class="n">R2</span> <span class="o">==</span> <span class="n">i</span><span class="o">.</span>
|
||
|
||
<span class="n">P</span> <span class="o">==</span> <span class="p">[</span><span class="n">I</span><span class="p">]</span> <span class="p">[</span><span class="n">T</span><span class="p">]</span> <span class="p">[</span><span class="n">R</span><span class="p">]</span> <span class="n">primrec</span>
|
||
<span class="o">==</span> <span class="p">[</span><span class="n">I</span><span class="p">]</span> <span class="p">[</span><span class="n">T</span><span class="p">]</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">i</span><span class="p">]</span> <span class="n">ifte</span>
|
||
<span class="o">==</span> <span class="p">[</span><span class="n">I</span><span class="p">]</span> <span class="p">[</span><span class="n">T</span><span class="p">]</span> <span class="p">[</span><span class="n">R</span> <span class="n">P</span><span class="p">]</span> <span class="n">ifte</span>
|
||
<span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'3 [1 <=] [] [dup --] [i *] genrec'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">6</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="i">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">i</span></code><a class="headerlink" href="#i" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">'1 2 3 [+ +] i'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> <span class="o">.</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="p">[</span><span class="o">+</span> <span class="o">+</span><span class="p">]</span> <span class="n">i</span>
|
||
<span class="mi">1</span> <span class="o">.</span> <span class="mi">2</span> <span class="mi">3</span> <span class="p">[</span><span class="o">+</span> <span class="o">+</span><span class="p">]</span> <span class="n">i</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="o">.</span> <span class="mi">3</span> <span class="p">[</span><span class="o">+</span> <span class="o">+</span><span class="p">]</span> <span class="n">i</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span> <span class="o">+</span><span class="p">]</span> <span class="n">i</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="p">[</span><span class="o">+</span> <span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="o">+</span>
|
||
<span class="mi">1</span> <span class="mi">5</span> <span class="o">.</span> <span class="o">+</span>
|
||
<span class="mi">6</span> <span class="o">.</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="ifte">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">ifte</span></code><a class="headerlink" href="#ifte" title="Permalink to this headline">¶</a></h3>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="n">predicate</span><span class="p">]</span> <span class="p">[</span><span class="n">then</span><span class="p">]</span> <span class="p">[</span><span class="k">else</span><span class="p">]</span> <span class="n">ifte</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 [1] [+] [*] ifte'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">3</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 [0] [+] [*] ifte'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">2</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="infra">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">infra</span></code><a class="headerlink" href="#infra" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">'1 2 3 [4 5 6] [* +] infra'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> <span class="o">.</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span><span class="p">]</span> <span class="p">[</span><span class="o">*</span> <span class="o">+</span><span class="p">]</span> <span class="n">infra</span>
|
||
<span class="mi">1</span> <span class="o">.</span> <span class="mi">2</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span><span class="p">]</span> <span class="p">[</span><span class="o">*</span> <span class="o">+</span><span class="p">]</span> <span class="n">infra</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="o">.</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span><span class="p">]</span> <span class="p">[</span><span class="o">*</span> <span class="o">+</span><span class="p">]</span> <span class="n">infra</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span><span class="p">]</span> <span class="p">[</span><span class="o">*</span> <span class="o">+</span><span class="p">]</span> <span class="n">infra</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="o">*</span> <span class="o">+</span><span class="p">]</span> <span class="n">infra</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span><span class="p">]</span> <span class="p">[</span><span class="o">*</span> <span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">infra</span>
|
||
<span class="mi">6</span> <span class="mi">5</span> <span class="mi">4</span> <span class="o">.</span> <span class="o">*</span> <span class="o">+</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span><span class="p">]</span> <span class="n">swaack</span>
|
||
<span class="mi">6</span> <span class="mi">20</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span><span class="p">]</span> <span class="n">swaack</span>
|
||
<span class="mi">26</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span><span class="p">]</span> <span class="n">swaack</span>
|
||
<span class="mi">26</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">swaack</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">26</span><span class="p">]</span> <span class="o">.</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="loop">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">loop</span></code><a class="headerlink" href="#loop" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[loop] help'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Basic</span> <span class="n">loop</span> <span class="n">combinator</span><span class="o">.</span>
|
||
|
||
<span class="o">...</span> <span class="kc">True</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="o">-----------------------</span>
|
||
<span class="o">...</span> <span class="n">Q</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">loop</span>
|
||
|
||
<span class="o">...</span> <span class="kc">False</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="o">------------------------</span>
|
||
<span class="o">...</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">'3 dup [1 - dup] loop'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> <span class="o">.</span> <span class="mi">3</span> <span class="n">dup</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">3</span> <span class="o">.</span> <span class="n">dup</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">3</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="o">.</span> <span class="n">loop</span>
|
||
<span class="mi">3</span> <span class="o">.</span> <span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">3</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">-</span> <span class="n">dup</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">2</span> <span class="o">.</span> <span class="n">dup</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">2</span> <span class="mi">2</span> <span class="o">.</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">2</span> <span class="mi">2</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="o">.</span> <span class="n">loop</span>
|
||
<span class="mi">2</span> <span class="o">.</span> <span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">2</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">-</span> <span class="n">dup</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">1</span> <span class="o">.</span> <span class="n">dup</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">1</span> <span class="mi">1</span> <span class="o">.</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">1</span> <span class="mi">1</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="o">.</span> <span class="n">loop</span>
|
||
<span class="mi">1</span> <span class="o">.</span> <span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">1</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">-</span> <span class="n">dup</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">0</span> <span class="o">.</span> <span class="n">dup</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">0</span> <span class="mi">0</span> <span class="o">.</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="n">loop</span>
|
||
<span class="mi">0</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">1</span> <span class="o">-</span> <span class="n">dup</span><span class="p">]</span> <span class="o">.</span> <span class="n">loop</span>
|
||
<span class="mi">0</span> <span class="o">.</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="map-pam">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">map</span></code> <code class="docutils literal notranslate"><span class="pre">pam</span></code><a class="headerlink" href="#map-pam" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'10 [1 2 3] [*] map'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">10</span> <span class="p">[</span><span class="mi">10</span> <span class="mi">20</span> <span class="mi">30</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'10 5 [[*][/][+][-]] pam'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">10</span> <span class="mi">5</span> <span class="p">[</span><span class="mi">50</span> <span class="mf">2.0</span> <span class="mi">15</span> <span class="mi">5</span><span class="p">]</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="nullary-unary-binary-ternary">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">nullary</span></code> <code class="docutils literal notranslate"><span class="pre">unary</span></code> <code class="docutils literal notranslate"><span class="pre">binary</span></code> <code class="docutils literal notranslate"><span class="pre">ternary</span></code><a class="headerlink" href="#nullary-unary-binary-ternary" title="Permalink to this headline">¶</a></h3>
|
||
<p>Run a quoted program enforcing
|
||
<a class="reference external" href="https://en.wikipedia.org/wiki/Arity">arity</a>.</p>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 4 5 [+] nullary'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">4</span> <span class="mi">5</span> <span class="mi">9</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 4 5 [+] unary'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">4</span> <span class="mi">9</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 4 5 [+] binary'</span><span class="p">)</span> <span class="c1"># + has arity 2 so this is technically pointless...</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">9</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'1 2 3 4 5 [+] ternary'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">9</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="step">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">step</span></code><a class="headerlink" href="#step" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[step] help'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Run</span> <span class="n">a</span> <span class="n">quoted</span> <span class="n">program</span> <span class="n">on</span> <span class="n">each</span> <span class="n">item</span> <span class="ow">in</span> <span class="n">a</span> <span class="n">sequence</span><span class="o">.</span>
|
||
|
||
<span class="o">...</span> <span class="p">[]</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
|
||
<span class="o">-----------------------</span>
|
||
<span class="o">...</span> <span class="o">.</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">Q</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
|
||
<span class="o">------------------------</span>
|
||
<span class="o">...</span> <span class="n">a</span> <span class="o">.</span> <span class="n">Q</span>
|
||
|
||
|
||
<span class="o">...</span> <span class="p">[</span><span class="n">a</span> <span class="n">b</span> <span class="n">c</span><span class="p">]</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
|
||
<span class="o">----------------------------------------</span>
|
||
<span class="o">...</span> <span class="n">a</span> <span class="o">.</span> <span class="n">Q</span> <span class="p">[</span><span class="n">b</span> <span class="n">c</span><span class="p">]</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">step</span>
|
||
|
||
<span class="n">The</span> <span class="n">step</span> <span class="n">combinator</span> <span class="n">executes</span> <span class="n">the</span> <span class="n">quotation</span> <span class="n">on</span> <span class="n">each</span> <span class="n">member</span> <span class="n">of</span> <span class="n">the</span> <span class="nb">list</span>
|
||
<span class="n">on</span> <span class="n">top</span> <span class="n">of</span> <span class="n">the</span> <span class="n">stack</span><span class="o">.</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">'0 [1 2 3] [+] step'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> <span class="o">.</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">step</span>
|
||
<span class="mi">0</span> <span class="o">.</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">step</span>
|
||
<span class="mi">0</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">step</span>
|
||
<span class="mi">0</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
|
||
<span class="mi">0</span> <span class="mi">1</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">step</span>
|
||
<span class="mi">0</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">step</span>
|
||
<span class="mi">1</span> <span class="o">.</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">step</span>
|
||
<span class="mi">1</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">step</span>
|
||
<span class="mi">1</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">step</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">step</span>
|
||
<span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">step</span>
|
||
<span class="mi">3</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">step</span>
|
||
<span class="mi">3</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
|
||
<span class="mi">3</span> <span class="mi">3</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span>
|
||
<span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span>
|
||
<span class="mi">6</span> <span class="o">.</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="times">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">times</span></code><a class="headerlink" href="#times" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">'3 2 1 2 [+] times'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> <span class="o">.</span> <span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">2</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">times</span>
|
||
<span class="mi">3</span> <span class="o">.</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">2</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">times</span>
|
||
<span class="mi">3</span> <span class="mi">2</span> <span class="o">.</span> <span class="mi">1</span> <span class="mi">2</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">times</span>
|
||
<span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="o">.</span> <span class="mi">2</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">times</span>
|
||
<span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">2</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">times</span>
|
||
<span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">2</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span>
|
||
<span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">1</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">times</span>
|
||
<span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span> <span class="mi">1</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">times</span>
|
||
<span class="mi">3</span> <span class="mi">3</span> <span class="mi">1</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">times</span>
|
||
<span class="mi">3</span> <span class="mi">3</span> <span class="mi">1</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span>
|
||
<span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span>
|
||
<span class="mi">6</span> <span class="o">.</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="b">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">b</span></code><a class="headerlink" href="#b" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[b] help'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">b</span> <span class="o">==</span> <span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="n">dip</span> <span class="n">i</span>
|
||
|
||
<span class="o">...</span> <span class="p">[</span><span class="n">P</span><span class="p">]</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">b</span> <span class="o">==</span> <span class="o">...</span> <span class="p">[</span><span class="n">P</span><span class="p">]</span> <span class="n">i</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">i</span>
|
||
<span class="o">...</span> <span class="p">[</span><span class="n">P</span><span class="p">]</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">b</span> <span class="o">==</span> <span class="o">...</span> <span class="n">P</span> <span class="n">Q</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">'1 2 [3] [4] b'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> <span class="o">.</span> <span class="mi">1</span> <span class="mi">2</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="mi">4</span><span class="p">]</span> <span class="n">b</span>
|
||
<span class="mi">1</span> <span class="o">.</span> <span class="mi">2</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="mi">4</span><span class="p">]</span> <span class="n">b</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="mi">4</span><span class="p">]</span> <span class="n">b</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="mi">4</span><span class="p">]</span> <span class="n">b</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="mi">4</span><span class="p">]</span> <span class="o">.</span> <span class="n">b</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="o">.</span> <span class="mi">3</span> <span class="mi">4</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="o">.</span> <span class="mi">4</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">4</span> <span class="o">.</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="while">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">while</span></code><a class="headerlink" href="#while" title="Permalink to this headline">¶</a></h3>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="n">predicate</span><span class="p">]</span> <span class="p">[</span><span class="n">body</span><span class="p">]</span> <span class="k">while</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'3 [0 >] [dup --] while'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">0</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="x">
|
||
<h3><code class="docutils literal notranslate"><span class="pre">x</span></code><a class="headerlink" href="#x" title="Permalink to this headline">¶</a></h3>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[x] help'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">x</span> <span class="o">==</span> <span class="n">dup</span> <span class="n">i</span>
|
||
|
||
<span class="o">...</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">x</span> <span class="o">=</span> <span class="o">...</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">dup</span> <span class="n">i</span>
|
||
<span class="o">...</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">x</span> <span class="o">=</span> <span class="o">...</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">i</span>
|
||
<span class="o">...</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">x</span> <span class="o">=</span> <span class="o">...</span> <span class="p">[</span><span class="n">Q</span><span class="p">]</span> <span class="n">Q</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">'1 [2] [i 3] x'</span><span class="p">)</span> <span class="c1"># Kind of a pointless example.</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> <span class="o">.</span> <span class="mi">1</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="p">[</span><span class="n">i</span> <span class="mi">3</span><span class="p">]</span> <span class="n">x</span>
|
||
<span class="mi">1</span> <span class="o">.</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="p">[</span><span class="n">i</span> <span class="mi">3</span><span class="p">]</span> <span class="n">x</span>
|
||
<span class="mi">1</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">i</span> <span class="mi">3</span><span class="p">]</span> <span class="n">x</span>
|
||
<span class="mi">1</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="p">[</span><span class="n">i</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="n">x</span>
|
||
<span class="mi">1</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="p">[</span><span class="n">i</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">3</span>
|
||
<span class="mi">1</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">3</span> <span class="mi">3</span>
|
||
<span class="mi">1</span> <span class="o">.</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">3</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="o">.</span> <span class="mi">3</span> <span class="mi">3</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="o">.</span> <span class="mi">3</span>
|
||
<span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div class="section" id="void">
|
||
<h2><code class="docutils literal notranslate"><span class="pre">void</span></code><a class="headerlink" href="#void" title="Permalink to this headline">¶</a></h2>
|
||
<p>Implements <a class="reference external" href="https://en.wikipedia.org/wiki/Laws_of_Form#The_primary_arithmetic_.28Chapter_4.29">**Laws of Form**
|
||
*arithmetic*</a>
|
||
over quote-only datastructures (that is, datastructures that consist
|
||
soley of containers, without strings or numbers or anything else.)</p>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[] void'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kc">False</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[[]] void'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kc">True</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[[][[]]] void'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kc">True</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="code ipython2 highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">'[[[]][[][]]] void'</span><span class="p">)</span>
|
||
</pre></div>
|
||
</div>
|
||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kc">False</span>
|
||
</pre></div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
|
||
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div class="sphinxsidebar" role="navigation" aria-label="main navigation">
|
||
<div class="sphinxsidebarwrapper">
|
||
<h3><a href="index.html">Table Of Contents</a></h3>
|
||
<ul>
|
||
<li><a class="reference internal" href="#">Functions Grouped by, er, Function with Examples</a><ul>
|
||
<li><a class="reference internal" href="#stack-chatter">Stack Chatter</a><ul>
|
||
<li><a class="reference internal" href="#clear"><code class="docutils literal notranslate"><span class="pre">clear</span></code></a></li>
|
||
<li><a class="reference internal" href="#dup-dupd"><code class="docutils literal notranslate"><span class="pre">dup</span></code> <code class="docutils literal notranslate"><span class="pre">dupd</span></code></a></li>
|
||
<li><a class="reference internal" href="#enstacken-disenstacken-stack-unstack"><code class="docutils literal notranslate"><span class="pre">enstacken</span></code> <code class="docutils literal notranslate"><span class="pre">disenstacken</span></code> <code class="docutils literal notranslate"><span class="pre">stack</span></code> <code class="docutils literal notranslate"><span class="pre">unstack</span></code></a></li>
|
||
<li><a class="reference internal" href="#pop-popd-popop"><code class="docutils literal notranslate"><span class="pre">pop</span></code> <code class="docutils literal notranslate"><span class="pre">popd</span></code> <code class="docutils literal notranslate"><span class="pre">popop</span></code></a></li>
|
||
<li><a class="reference internal" href="#roll-rolldown-roll-rollup"><code class="docutils literal notranslate"><span class="pre">roll<</span></code> <code class="docutils literal notranslate"><span class="pre">rolldown</span></code> <code class="docutils literal notranslate"><span class="pre">roll></span></code> <code class="docutils literal notranslate"><span class="pre">rollup</span></code></a></li>
|
||
<li><a class="reference internal" href="#swap"><code class="docutils literal notranslate"><span class="pre">swap</span></code></a></li>
|
||
<li><a class="reference internal" href="#tuck-over"><code class="docutils literal notranslate"><span class="pre">tuck</span></code> <code class="docutils literal notranslate"><span class="pre">over</span></code></a></li>
|
||
<li><a class="reference internal" href="#unit-quoted-unquoted"><code class="docutils literal notranslate"><span class="pre">unit</span></code> <code class="docutils literal notranslate"><span class="pre">quoted</span></code> <code class="docutils literal notranslate"><span class="pre">unquoted</span></code></a></li>
|
||
</ul>
|
||
</li>
|
||
<li><a class="reference internal" href="#list-words">List words</a><ul>
|
||
<li><a class="reference internal" href="#concat-swoncat-shunt"><code class="docutils literal notranslate"><span class="pre">concat</span></code> <code class="docutils literal notranslate"><span class="pre">swoncat</span></code> <code class="docutils literal notranslate"><span class="pre">shunt</span></code></a></li>
|
||
<li><a class="reference internal" href="#cons-swons-uncons"><code class="docutils literal notranslate"><span class="pre">cons</span></code> <code class="docutils literal notranslate"><span class="pre">swons</span></code> <code class="docutils literal notranslate"><span class="pre">uncons</span></code></a></li>
|
||
<li><a class="reference internal" href="#first-second-third-rest"><code class="docutils literal notranslate"><span class="pre">first</span></code> <code class="docutils literal notranslate"><span class="pre">second</span></code> <code class="docutils literal notranslate"><span class="pre">third</span></code> <code class="docutils literal notranslate"><span class="pre">rest</span></code></a></li>
|
||
<li><a class="reference internal" href="#flatten"><code class="docutils literal notranslate"><span class="pre">flatten</span></code></a></li>
|
||
<li><a class="reference internal" href="#getitem-at-of-drop-take"><code class="docutils literal notranslate"><span class="pre">getitem</span></code> <code class="docutils literal notranslate"><span class="pre">at</span></code> <code class="docutils literal notranslate"><span class="pre">of</span></code> <code class="docutils literal notranslate"><span class="pre">drop</span></code> <code class="docutils literal notranslate"><span class="pre">take</span></code></a></li>
|
||
<li><a class="reference internal" href="#remove"><code class="docutils literal notranslate"><span class="pre">remove</span></code></a></li>
|
||
<li><a class="reference internal" href="#reverse"><code class="docutils literal notranslate"><span class="pre">reverse</span></code></a></li>
|
||
<li><a class="reference internal" href="#size"><code class="docutils literal notranslate"><span class="pre">size</span></code></a></li>
|
||
<li><a class="reference internal" href="#swaack"><code class="docutils literal notranslate"><span class="pre">swaack</span></code></a></li>
|
||
<li><a class="reference internal" href="#choice-select"><code class="docutils literal notranslate"><span class="pre">choice</span></code> <code class="docutils literal notranslate"><span class="pre">select</span></code></a></li>
|
||
<li><a class="reference internal" href="#zip"><code class="docutils literal notranslate"><span class="pre">zip</span></code></a></li>
|
||
</ul>
|
||
</li>
|
||
<li><a class="reference internal" href="#math-words">Math words</a><ul>
|
||
<li><a class="reference internal" href="#add"><code class="docutils literal notranslate"><span class="pre">+</span></code> <code class="docutils literal notranslate"><span class="pre">add</span></code></a></li>
|
||
<li><a class="reference internal" href="#sub"><code class="docutils literal notranslate"><span class="pre">-</span></code> <code class="docutils literal notranslate"><span class="pre">sub</span></code></a></li>
|
||
<li><a class="reference internal" href="#mul"><code class="docutils literal notranslate"><span class="pre">*</span></code> <code class="docutils literal notranslate"><span class="pre">mul</span></code></a></li>
|
||
<li><a class="reference internal" href="#div-floordiv-truediv"><code class="docutils literal notranslate"><span class="pre">/</span></code> <code class="docutils literal notranslate"><span class="pre">div</span></code> <code class="docutils literal notranslate"><span class="pre">floordiv</span></code> <code class="docutils literal notranslate"><span class="pre">truediv</span></code></a></li>
|
||
<li><a class="reference internal" href="#mod-modulus-rem-remainder"><code class="docutils literal notranslate"><span class="pre">%</span></code> <code class="docutils literal notranslate"><span class="pre">mod</span></code> <code class="docutils literal notranslate"><span class="pre">modulus</span></code> <code class="docutils literal notranslate"><span class="pre">rem</span></code> <code class="docutils literal notranslate"><span class="pre">remainder</span></code></a></li>
|
||
<li><a class="reference internal" href="#neg"><code class="docutils literal notranslate"><span class="pre">neg</span></code></a></li>
|
||
<li><a class="reference internal" href="#pow"><code class="docutils literal notranslate"><span class="pre">pow</span></code></a></li>
|
||
<li><a class="reference internal" href="#sqr-sqrt"><code class="docutils literal notranslate"><span class="pre">sqr</span></code> <code class="docutils literal notranslate"><span class="pre">sqrt</span></code></a></li>
|
||
<li><a class="reference internal" href="#succ-pred"><code class="docutils literal notranslate"><span class="pre">++</span></code> <code class="docutils literal notranslate"><span class="pre">succ</span></code> <code class="docutils literal notranslate"><span class="pre">--</span></code> <code class="docutils literal notranslate"><span class="pre">pred</span></code></a></li>
|
||
<li><a class="reference internal" href="#lshift-rshift"><code class="docutils literal notranslate"><span class="pre"><<</span></code> <code class="docutils literal notranslate"><span class="pre">lshift</span></code> <code class="docutils literal notranslate"><span class="pre">>></span></code> <code class="docutils literal notranslate"><span class="pre">rshift</span></code></a></li>
|
||
<li><a class="reference internal" href="#average"><code class="docutils literal notranslate"><span class="pre">average</span></code></a></li>
|
||
<li><a class="reference internal" href="#range-range-to-zero-down-to-zero"><code class="docutils literal notranslate"><span class="pre">range</span></code> <code class="docutils literal notranslate"><span class="pre">range_to_zero</span></code> <code class="docutils literal notranslate"><span class="pre">down_to_zero</span></code></a></li>
|
||
<li><a class="reference internal" href="#product"><code class="docutils literal notranslate"><span class="pre">product</span></code></a></li>
|
||
<li><a class="reference internal" href="#sum"><code class="docutils literal notranslate"><span class="pre">sum</span></code></a></li>
|
||
<li><a class="reference internal" href="#min"><code class="docutils literal notranslate"><span class="pre">min</span></code></a></li>
|
||
<li><a class="reference internal" href="#gcd"><code class="docutils literal notranslate"><span class="pre">gcd</span></code></a></li>
|
||
<li><a class="reference internal" href="#least-fraction"><code class="docutils literal notranslate"><span class="pre">least_fraction</span></code></a></li>
|
||
</ul>
|
||
</li>
|
||
<li><a class="reference internal" href="#logic-and-comparison">Logic and Comparison</a><ul>
|
||
<li><a class="reference internal" href="#truthy"><code class="docutils literal notranslate"><span class="pre">?</span></code> <code class="docutils literal notranslate"><span class="pre">truthy</span></code></a></li>
|
||
<li><a class="reference internal" href="#and"><code class="docutils literal notranslate"><span class="pre">&</span></code> <code class="docutils literal notranslate"><span class="pre">and</span></code></a></li>
|
||
<li><a class="reference internal" href="#ne"><code class="docutils literal notranslate"><span class="pre">!=</span></code> <code class="docutils literal notranslate"><span class="pre"><></span></code> <code class="docutils literal notranslate"><span class="pre">ne</span></code></a></li>
|
||
<li><a class="reference internal" href="#xor"><code class="docutils literal notranslate"><span class="pre">^</span></code> <code class="docutils literal notranslate"><span class="pre">xor</span></code></a></li>
|
||
</ul>
|
||
</li>
|
||
<li><a class="reference internal" href="#miscellaneous">Miscellaneous</a><ul>
|
||
<li><a class="reference internal" href="#help"><code class="docutils literal notranslate"><span class="pre">help</span></code></a></li>
|
||
<li><a class="reference internal" href="#parse"><code class="docutils literal notranslate"><span class="pre">parse</span></code></a></li>
|
||
<li><a class="reference internal" href="#run"><code class="docutils literal notranslate"><span class="pre">run</span></code></a></li>
|
||
</ul>
|
||
</li>
|
||
<li><a class="reference internal" href="#combinators">Combinators</a><ul>
|
||
<li><a class="reference internal" href="#app1-app2-app3"><code class="docutils literal notranslate"><span class="pre">app1</span></code> <code class="docutils literal notranslate"><span class="pre">app2</span></code> <code class="docutils literal notranslate"><span class="pre">app3</span></code></a></li>
|
||
<li><a class="reference internal" href="#anamorphism"><code class="docutils literal notranslate"><span class="pre">anamorphism</span></code></a></li>
|
||
<li><a class="reference internal" href="#branch"><code class="docutils literal notranslate"><span class="pre">branch</span></code></a></li>
|
||
<li><a class="reference internal" href="#cleave"><code class="docutils literal notranslate"><span class="pre">cleave</span></code></a></li>
|
||
<li><a class="reference internal" href="#dip-dipd-dipdd"><code class="docutils literal notranslate"><span class="pre">dip</span></code> <code class="docutils literal notranslate"><span class="pre">dipd</span></code> <code class="docutils literal notranslate"><span class="pre">dipdd</span></code></a></li>
|
||
<li><a class="reference internal" href="#dupdip"><code class="docutils literal notranslate"><span class="pre">dupdip</span></code></a></li>
|
||
<li><a class="reference internal" href="#genrec-primrec"><code class="docutils literal notranslate"><span class="pre">genrec</span></code> <code class="docutils literal notranslate"><span class="pre">primrec</span></code></a></li>
|
||
<li><a class="reference internal" href="#i"><code class="docutils literal notranslate"><span class="pre">i</span></code></a></li>
|
||
<li><a class="reference internal" href="#ifte"><code class="docutils literal notranslate"><span class="pre">ifte</span></code></a></li>
|
||
<li><a class="reference internal" href="#infra"><code class="docutils literal notranslate"><span class="pre">infra</span></code></a></li>
|
||
<li><a class="reference internal" href="#loop"><code class="docutils literal notranslate"><span class="pre">loop</span></code></a></li>
|
||
<li><a class="reference internal" href="#map-pam"><code class="docutils literal notranslate"><span class="pre">map</span></code> <code class="docutils literal notranslate"><span class="pre">pam</span></code></a></li>
|
||
<li><a class="reference internal" href="#nullary-unary-binary-ternary"><code class="docutils literal notranslate"><span class="pre">nullary</span></code> <code class="docutils literal notranslate"><span class="pre">unary</span></code> <code class="docutils literal notranslate"><span class="pre">binary</span></code> <code class="docutils literal notranslate"><span class="pre">ternary</span></code></a></li>
|
||
<li><a class="reference internal" href="#step"><code class="docutils literal notranslate"><span class="pre">step</span></code></a></li>
|
||
<li><a class="reference internal" href="#times"><code class="docutils literal notranslate"><span class="pre">times</span></code></a></li>
|
||
<li><a class="reference internal" href="#b"><code class="docutils literal notranslate"><span class="pre">b</span></code></a></li>
|
||
<li><a class="reference internal" href="#while"><code class="docutils literal notranslate"><span class="pre">while</span></code></a></li>
|
||
<li><a class="reference internal" href="#x"><code class="docutils literal notranslate"><span class="pre">x</span></code></a></li>
|
||
</ul>
|
||
</li>
|
||
<li><a class="reference internal" href="#void"><code class="docutils literal notranslate"><span class="pre">void</span></code></a></li>
|
||
</ul>
|
||
</li>
|
||
</ul>
|
||
<div class="relations">
|
||
<h3>Related Topics</h3>
|
||
<ul>
|
||
<li><a href="index.html">Documentation overview</a><ul>
|
||
<li>Previous: <a href="library.html" title="previous chapter">Function Reference</a></li>
|
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<h3>This Page</h3>
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