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| <li class="toctree-l1 current"><a class="current reference internal" href="#">Trigonometric Functions</a><ul> |
| <li class="toctree-l2"><a class="reference internal" href="#degrees">degrees</a></li> |
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| <div class="tex2jax_ignore mathjax_ignore section" id="trigonometric-functions"> |
| <h1>Trigonometric Functions<a class="headerlink" href="#trigonometric-functions" title="Permalink to this headline">¶</a></h1> |
| <div class="section" id="degrees"> |
| <h2>degrees<a class="headerlink" href="#degrees" title="Permalink to this headline">¶</a></h2> |
| <p>degrees() converts radians to degrees.</p> |
| <p>Syntax:<code class="docutils literal notranslate"><span class="pre">degrees(expression)</span></code></p> |
| <p>Returns:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">A</span> <span class="n">Float</span><span class="o">.</span> |
| </pre></div> |
| </div> |
| <p>Arguments:</p> |
| <table> |
| <tr> |
| <td>Name |
| </td> |
| <td>Description |
| </td> |
| </tr> |
| <tr> |
| <td>expression |
| </td> |
| <td>An agtype number expression that represents the angle in radians. |
| </td> |
| </tr> |
| </table> |
| <p>Considerations:</p> |
| <ul class="simple"> |
| <li><p>degrees(null) returns null.</p></li> |
| </ul> |
| <p>Query:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>SELECT * |
| FROM cypher('graph_name', $$ |
| RETURN degrees(3.14159) |
| $$) as (deg agtype); |
| </pre></div> |
| </div> |
| <p>The number of degrees in something close to pi is returned.</p> |
| <p>Results:</p> |
| <table> |
| <tr> |
| <td>deg |
| </td> |
| </tr> |
| <tr> |
| <td>179.99984796050427 |
| </td> |
| </tr> |
| <tr> |
| <td>1 row(s) returned |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="section" id="radians"> |
| <h2>radians<a class="headerlink" href="#radians" title="Permalink to this headline">¶</a></h2> |
| <p>radians() converts radians to degrees.</p> |
| <p>Syntax:<code class="docutils literal notranslate"><span class="pre">radians(expression)</span></code></p> |
| <p>Returns:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">A</span> <span class="n">Float</span><span class="o">.</span> |
| </pre></div> |
| </div> |
| <p>Arguments:</p> |
| <table> |
| <tr> |
| <td>Name |
| </td> |
| <td>Description |
| </td> |
| </tr> |
| <tr> |
| <td>expression |
| </td> |
| <td>An agtype number expression that represents the angle in degrees. |
| </td> |
| </tr> |
| </table> |
| <p>Considerations:</p> |
| <ul class="simple"> |
| <li><p>radians(null) returns null.</p></li> |
| </ul> |
| <p>Query:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>SELECT * |
| FROM cypher('graph_name', $$ |
| RETURN radians(180) |
| $$) as (rad agtype); |
| </pre></div> |
| </div> |
| <p>The number of degrees in something close to pi is returned.</p> |
| <p>Results:</p> |
| <table> |
| <tr> |
| <td>rad |
| </td> |
| </tr> |
| <tr> |
| <td>3.14159265358979 |
| </td> |
| </tr> |
| <tr> |
| <td>1 row(s) returned |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="section" id="pi"> |
| <h2>pi<a class="headerlink" href="#pi" title="Permalink to this headline">¶</a></h2> |
| <p>pi() returns the mathematical constant pi.</p> |
| <p>Syntax: <code class="docutils literal notranslate"><span class="pre">pi()</span></code></p> |
| <p>Returns:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">An</span> <span class="n">agtype</span> <span class="nb">float</span><span class="o">.</span> |
| </pre></div> |
| </div> |
| <p>Query:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>SELECT * |
| FROM cypher('graph_name', $$ |
| RETURN pi() |
| $$) as (p agtype); |
| </pre></div> |
| </div> |
| <p>The constant pi is returned.</p> |
| <p>Result:</p> |
| <table> |
| <tr> |
| <td>p |
| </td> |
| </tr> |
| <tr> |
| <td>3.141592653589793 |
| </td> |
| </tr> |
| <tr> |
| <td>1 row(s) returned |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="section" id="sin"> |
| <h2>sin<a class="headerlink" href="#sin" title="Permalink to this headline">¶</a></h2> |
| <p>sin() returns the sine of a number.</p> |
| <p>Syntax:<code class="docutils literal notranslate"><span class="pre">sin(expression)</span></code></p> |
| <p>Returns:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">A</span> <span class="n">Float</span><span class="o">.</span> |
| </pre></div> |
| </div> |
| <p>Arguments:</p> |
| <table> |
| <tr> |
| <td>Name |
| </td> |
| <td>Description |
| </td> |
| </tr> |
| <tr> |
| <td>expression |
| </td> |
| <td>An agtype number expression that represents the angle in radians. |
| </td> |
| </tr> |
| </table> |
| <p>Considerations:</p> |
| <ul class="simple"> |
| <li><p>sin(null) returns null.</p></li> |
| </ul> |
| <p>Query:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>SELECT * |
| FROM cypher('graph_name', $$ |
| RETURN sin(0.5) |
| $$) as (s agtype); |
| </pre></div> |
| </div> |
| <p>The sine of 0.5 is returned.</p> |
| <p>Results:</p> |
| <table> |
| <tr> |
| <td>s |
| </td> |
| </tr> |
| <tr> |
| <td>0.479425538604203 |
| </td> |
| </tr> |
| <tr> |
| <td>1 row(s) returned |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="section" id="cos"> |
| <h2>cos<a class="headerlink" href="#cos" title="Permalink to this headline">¶</a></h2> |
| <p>cos() returns the cosine of a number.</p> |
| <p>Syntax: <code class="docutils literal notranslate"><span class="pre">cos(expression)</span></code></p> |
| <p>Returns:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">A</span> <span class="n">Float</span><span class="o">.</span> |
| </pre></div> |
| </div> |
| <p>Arguments:</p> |
| <table> |
| <tr> |
| <td>Name |
| </td> |
| <td>Description |
| </td> |
| </tr> |
| <tr> |
| <td>expression |
| </td> |
| <td>An agtype expression that represents the angle in radians. |
| </td> |
| </tr> |
| </table> |
| <p>Considerations:</p> |
| <ul class="simple"> |
| <li><p>cos(null) returns null.</p></li> |
| </ul> |
| <p>Query:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>SELECT * |
| FROM cypher('graph_name', $$ |
| RETURN cosin(0.5) |
| $$) as (c agtype); |
| </pre></div> |
| </div> |
| <p>The cosine of 0.5 is returned.</p> |
| <p>Results:</p> |
| <table> |
| <tr> |
| <td>c |
| </td> |
| </tr> |
| <tr> |
| <td>0.8775825618903728 |
| </td> |
| </tr> |
| <tr> |
| <td>1 row(s) returned |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="section" id="tan"> |
| <h2>tan<a class="headerlink" href="#tan" title="Permalink to this headline">¶</a></h2> |
| <p>tan() returns the tangent of a number.</p> |
| <p>Syntax: <code class="docutils literal notranslate"><span class="pre">tan(expression)</span></code></p> |
| <p>Returns:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">A</span> <span class="n">Float</span><span class="o">.</span> |
| </pre></div> |
| </div> |
| <p>Arguments:</p> |
| <table> |
| <tr> |
| <td>Name |
| </td> |
| <td>Description |
| </td> |
| </tr> |
| <tr> |
| <td>expression |
| </td> |
| <td>An agtype number expression that represents the angle in radians. |
| </td> |
| </tr> |
| </table> |
| <p>Considerations:</p> |
| <ul class="simple"> |
| <li><p>tan(null) returns null.</p></li> |
| </ul> |
| <p>Query:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>SELECT * |
| FROM cypher('graph_name', $$ |
| RETURN tan(0.5) |
| $$) as (t agtype); |
| </pre></div> |
| </div> |
| <p>The tangent of 0.5 is returned.</p> |
| <p>Results:</p> |
| <table> |
| <tr> |
| <td>t |
| </td> |
| </tr> |
| <tr> |
| <td>0.5463024898437905 |
| </td> |
| </tr> |
| <tr> |
| <td>1 row(s) returned |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="section" id="asin"> |
| <h2>asin<a class="headerlink" href="#asin" title="Permalink to this headline">¶</a></h2> |
| <p>asin() returns the arcsine of a number.</p> |
| <p>Syntax:<code class="docutils literal notranslate"><span class="pre">asin(expression)</span></code></p> |
| <p>Returns:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">A</span> <span class="n">Float</span><span class="o">.</span> |
| </pre></div> |
| </div> |
| <p>Arguments:</p> |
| <table> |
| <tr> |
| <td>Name |
| </td> |
| <td>Description |
| </td> |
| </tr> |
| <tr> |
| <td>expression |
| </td> |
| <td>An agtype number expression that represents the angle in radians. |
| </td> |
| </tr> |
| </table> |
| <p>Considerations:</p> |
| <ul class="simple"> |
| <li><p>asin(null) returns null.</p></li> |
| <li><p>If (expression < -1) or (expression > 1), then (asin(expression)) returns null.</p></li> |
| </ul> |
| <p>Query:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>SELECT * |
| FROM cypher('graph_name', $$ |
| RETURN asin(0.5) |
| $$) as (s agtype); |
| </pre></div> |
| </div> |
| <p>The arcsine of 0.5 is returned.</p> |
| <p>Results:</p> |
| <table> |
| <tr> |
| <td>s |
| </td> |
| </tr> |
| <tr> |
| <td>0.523598775598299 |
| </td> |
| </tr> |
| <tr> |
| <td>1 row(s) returned |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="section" id="acos"> |
| <h2>acos<a class="headerlink" href="#acos" title="Permalink to this headline">¶</a></h2> |
| <p>acos() returns the arccosine of a number.</p> |
| <p>Syntax:<code class="docutils literal notranslate"><span class="pre">acos(expression)</span></code></p> |
| <p>Returns:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">A</span> <span class="n">Float</span><span class="o">.</span> |
| </pre></div> |
| </div> |
| <p>Arguments:</p> |
| <table> |
| <tr> |
| <td>Name |
| </td> |
| <td>Description |
| </td> |
| </tr> |
| <tr> |
| <td>expression |
| </td> |
| <td>An agtype number expression that represents the angle in radians. |
| </td> |
| </tr> |
| </table> |
| <p>Considerations:</p> |
| <ul class="simple"> |
| <li><p>acos(null) returns null.</p></li> |
| <li><p>If (expression < -1) or (expression > 1), then (acos(expression)) returns null.</p></li> |
| </ul> |
| <p>Query:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>SELECT * |
| FROM cypher('graph_name', $$ |
| RETURN acos(0.5) |
| $$) as (arc_c agtype); |
| </pre></div> |
| </div> |
| <p>The arccosine of 0.5 is returned.</p> |
| <p>Results:</p> |
| <table> |
| <tr> |
| <td>arc_c |
| </td> |
| </tr> |
| <tr> |
| <td>1.0471975511965979 |
| </td> |
| </tr> |
| <tr> |
| <td>1 row(s) returned |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="section" id="atan"> |
| <h2>atan<a class="headerlink" href="#atan" title="Permalink to this headline">¶</a></h2> |
| <p>atan() returns the arctangent of a number.</p> |
| <p>Syntax:<code class="docutils literal notranslate"><span class="pre">atan(expression)</span></code></p> |
| <p>Returns:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">A</span> <span class="n">Float</span><span class="o">.</span> |
| </pre></div> |
| </div> |
| <p>Arguments:</p> |
| <table> |
| <tr> |
| <td>Name |
| </td> |
| <td>Description |
| </td> |
| </tr> |
| <tr> |
| <td>expression |
| </td> |
| <td>An agtype number expression that represents the angle in radians. |
| </td> |
| </tr> |
| </table> |
| <p>Considerations:</p> |
| <ul class="simple"> |
| <li><p>atan(null) returns null.</p></li> |
| </ul> |
| <p>Query:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>SELECT * |
| FROM cypher('graph_name', $$ |
| RETURN atan(0.5) |
| $$) as (arc_t agtype); |
| </pre></div> |
| </div> |
| <p>The arccosine of 0.5 is returned.</p> |
| <p>Results:</p> |
| <table> |
| <tr> |
| <td>arc_t |
| </td> |
| </tr> |
| <tr> |
| <td>0.463647609000806 |
| </td> |
| </tr> |
| <tr> |
| <td>1 row(s) returned |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="section" id="atan2"> |
| <h2>atan2<a class="headerlink" href="#atan2" title="Permalink to this headline">¶</a></h2> |
| <p>atan2() returns the arctangent2 of a set of coordinates in radians.</p> |
| <p>Syntax: <code class="docutils literal notranslate"><span class="pre">atan2(expression1,</span> <span class="pre">expression2)</span></code></p> |
| <p>Returns:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">A</span> <span class="n">Float</span><span class="o">.</span> |
| </pre></div> |
| </div> |
| <p>Arguments:</p> |
| <table> |
| <tr> |
| <td>Name |
| </td> |
| <td>Description |
| </td> |
| </tr> |
| <tr> |
| <td>expression1 |
| </td> |
| <td>An agtype number expression for y that represents the angle in radians. |
| </td> |
| </tr> |
| <tr> |
| <td>expression2 |
| </td> |
| <td>An agtype number expression for x that represents the angle in radians. |
| </td> |
| </tr> |
| </table> |
| <p>Considerations:</p> |
| <ul class="simple"> |
| <li><p>atan2(null, null), atan2(null, expression2) and atan(expression1, null) all return null.</p></li> |
| </ul> |
| <p>Query:</p> |
| <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>SELECT * |
| FROM cypher('graph_name', $$ |
| RETURN atan2(0.5, 0.6) |
| $$) as (arc_t2 agtype); |
| </pre></div> |
| </div> |
| <p>The arctangent2 of 0.5 and 0.6 is returned.</p> |
| <p>Results:</p> |
| <table> |
| <tr> |
| <td>arc_t2 |
| </td> |
| </tr> |
| <tr> |
| <td>0.694738276196703 |
| </td> |
| </tr> |
| <tr> |
| <td>1 row(s) returned |
| </td> |
| </tr> |
| </table> |
| </div> |
| </div> |
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