<snapdata remixID="8783634"><project name="Complex" app="Snap! 10, https://snap.berkeley.edu" version="2"><notes></notes><thumbnail>data:image/png;base64,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</thumbnail><scenes select="1"><scene name="Complex"><notes></notes><hidden></hidden><headers></headers><code></code><blocks><block-definition s="USE BIGNUMS %&apos;bool&apos;" type="command" category="operators"><comment x="0" y="0" w="303.3333333333333" collapsed="false">call with True to turn on the entire Scheme numeric tower, including infinite-precision integers, exact rationals, and complex numbers; call with False to restore native JavaScript arithmetic.</comment><header></header><code></code><translations>pt:altera utilização de aritmética do Scheme para _&#xD;ca:sistema numèric d&apos;Scheme _&#xD;pl:system liczbowy Scheme _&#xD;</translations><inputs><input type="%b"></input></inputs><script><block s="doApplyExtension"><l>src_load(url)</l><list><l>libraries/biginteger.js</l></list></block><block s="doApplyExtension"><l>src_load(url)</l><list><l>libraries/schemeNumber.js</l></list></block><block s="doApplyExtension"><l>src_load(url)</l><list><l>libraries/bignums.js</l></list></block><block s="doApplyExtension"><l>big_switch(bool)</l><list><block var="bool"/></list></block></script></block-definition><block-definition s="%&apos;n&apos; !" type="reporter" category="operators"><comment x="0" y="0" w="190.66666666666666" collapsed="false">The factorial function, to make very large numbers, to demo bignums.</comment><header></header><code></code><translations></translations><inputs><input type="%n"></input></inputs><script><block s="doReport"><block s="reportIfElse"><block s="reportVariadicEquals"><list><block var="n"/><l>0</l></list></block><l>1</l><block s="reportVariadicProduct"><list><block var="n"/><custom-block s="%n !"><block s="reportDifference"><block var="n"/><l>1</l></block></custom-block></list></block></block></block></script></block-definition><block-definition s="%&apos;x&apos;" type="reporter" category="operators"><comment x="0" y="0" w="234.66666666666666" collapsed="false">The identity function: reports its input.&#xD;It&apos;s useful to get things like 3/4 or 5-2i into&#xD;numeric input slots.</comment><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doReport"><block var="x"/></block></script></block-definition><block-definition s="Scheme number %&apos;function&apos; of %&apos;number&apos;" type="reporter" category="operators"><comment x="0" y="0" w="300" collapsed="true">Provides Scheme arithmetic functions not in JavaScript</comment><header></header><code></code><translations>pt:_ de _&#xD;ca:Scheme _ de _&#xD;pl:liczba _ z _&#xD;</translations><inputs><input type="%s" readonly="true"><options>number?&#xD;complex?&#xD;real?&#xD;rational?&#xD;integer?&#xD;exact?&#xD;inexact?&#xD;exact&#xD;inexact&#xD;finite?&#xD;infinite?&#xD;nan?&#xD;numerator&#xD;denominator&#xD;real-part&#xD;imag-part&#xD;magnitude&#xD;angle</options></input><input type="%s"></input></inputs><script><block s="doReport"><block s="reportApplyExtension"><l>big_scheme(fn, num)</l><list><block var="function"/><block var="number"/></list></block></block></script></block-definition><block-definition s="i" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs></inputs><script><block s="doReport"><block s="reportMonadic"><l><option>sqrt</option></l><l>-1</l></block></block></script></block-definition><block-definition s="%&apos;a&apos; + %&apos;b&apos; i" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n"></input><input type="%n"></input></inputs><script><block s="doReport"><block s="reportVariadicSum"><list><block var="a"/><block s="reportVariadicProduct"><list><block var="b"/><custom-block s="i"></custom-block></list></block></list></block></block></script></block-definition><block-definition s="conjugate %&apos;z&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doReport"><block s="reportDifference"><custom-block s="Scheme number %s of %s"><l>real-part</l><block var="z"/></custom-block><block s="reportVariadicProduct"><list><custom-block s="Scheme number %s of %s"><l>imag-part</l><block var="z"/></custom-block><custom-block s="i"></custom-block></list></block></block></block></script></block-definition><block-definition s="%&apos;z&apos; rectangular $arrowRight polar" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doReport"><block s="reportJoinWords"><list><custom-block s="Scheme number %s of %s"><l>magnitude</l><block var="z"/></custom-block><l>∠</l><custom-block s="Scheme number %s of %s"><l>angle</l><block var="z"/></custom-block></list></block></block></script></block-definition><block-definition s="polar formula" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs></inputs><script><block s="doReport"><block s="reifyReporter"><autolambda><block s="reportVariadicProduct"><list><custom-block s="Scheme number %s of %s"><l>magnitude</l><block var="z"/></custom-block><custom-block s="%n + %n i"><block s="reportMonadic"><l><option>cos</option></l><block s="reportVariadicProduct"><list><custom-block s="Scheme number %s of %s"><l>angle</l><block var="z"/></custom-block><block s="reportQuotient"><l>180</l><l>3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679</l></block></list></block></block><block s="reportMonadic"><l><option>sin</option></l><block s="reportVariadicProduct"><list><custom-block s="Scheme number %s of %s"><l>angle</l><block var="z"/></custom-block><block s="reportQuotient"><l>180</l><l>3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679</l></block></list></block></block></custom-block></list></block></autolambda><list><l>z</l></list></block></block></script></block-definition><block-definition s="%&apos;z&apos; × conjugate" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doReport"><custom-block s="Scheme number %s of %s"><l>real-part</l><block s="reportVariadicProduct"><list><block var="z"/><custom-block s="conjugate %s"><block var="z"/></custom-block></list></block></custom-block></block></script></block-definition><block-definition s="go to %&apos;z&apos; on complex plane" type="command" category="motion"><header></header><code></code><translations></translations><inputs><input type="%s">0+0i</input></inputs><script><block s="doGotoObject"><block s="reportNewList"><list><custom-block s="Scheme number %s of %s"><l>real-part</l><block var="z"/></custom-block><custom-block s="Scheme number %s of %s"><l>imag-part</l><block var="z"/></custom-block></list></block></block></script></block-definition><block-definition s="point towards %&apos;z&apos; on complex plane" type="command" category="motion"><header></header><code></code><translations></translations><inputs><input type="%s">1+0i</input></inputs><script><block s="doFaceTowards"><block s="reportNewList"><list><custom-block s="Scheme number %s of %s"><l>real-part</l><block var="z"/></custom-block><custom-block s="Scheme number %s of %s"><l>imag-part</l><block var="z"/></custom-block></list></block></block></script></block-definition><block-definition s="%&apos;d&apos; to %&apos;z&apos; on complex plane" type="reporter" category="sensing"><header></header><code></code><translations></translations><inputs><input type="%s" readonly="true">distance<options>distance&#xD;direction</options></input><input type="%s"></input></inputs><script><block s="doReport"><block s="reportRelationTo"><block var="d"/><block s="reportNewList"><list><custom-block s="Scheme number %s of %s"><l>real-part</l><block var="z"/></custom-block><custom-block s="Scheme number %s of %s"><l>imag-part</l><block var="z"/></custom-block></list></block></block></block></script></block-definition><block-definition s="%&apos;z&apos; polar $arrowRight rectangular" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doReport"><block s="reportVariadicProduct"><list><block s="reportListItem"><l>1</l><block s="reportTextSplit"><block var="z"/><l>∠</l></block></block><custom-block s="%n + %n i"><block s="reportMonadic"><l><option>cos</option></l><block s="reportVariadicProduct"><list><block s="reportListItem"><l>2</l><block s="reportTextSplit"><block var="z"/><l>∠</l></block></block><block s="reportQuotient"><l>180</l><l>3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679</l></block></list></block></block><block s="reportMonadic"><l><option>sin</option></l><block s="reportVariadicProduct"><list><block s="reportListItem"><l>2</l><block s="reportTextSplit"><block var="z"/><l>∠</l></block></block><block s="reportQuotient"><l>180</l><l>3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679</l></block></list></block></block></custom-block></list></block></block></script></block-definition><block-definition s="%&apos;r&apos; ∠ %&apos;θ&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n"></input><input type="%n"></input></inputs><script><block s="doReport"><block s="reportJoinWords"><list><block var="r"/><l>∠</l><block var="θ"/></list></block></block></script></block-definition><block-definition s="%&apos;z1&apos; lex &lt; %&apos;z2&apos;" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input></inputs><script><block s="doReport"><block s="reportIfElse"><block s="reportVariadicEquals"><list><custom-block s="Scheme number %s of %s"><l>real-part</l><block var="z1"/></custom-block><custom-block s="Scheme number %s of %s"><l>real-part</l><block var="z2"/></custom-block></list></block><block s="reportVariadicLessThan"><list><custom-block s="Scheme number %s of %s"><l>imag-part</l><block var="z1"/></custom-block><custom-block s="Scheme number %s of %s"><l>imag-part</l><block var="z2"/></custom-block></list></block><block s="reportVariadicLessThan"><list><custom-block s="Scheme number %s of %s"><l>real-part</l><block var="z1"/></custom-block><custom-block s="Scheme number %s of %s"><l>real-part</l><block var="z2"/></custom-block></list></block></block></block></script></block-definition><block-definition s="%&apos;z1&apos; lex &gt; %&apos;z2&apos;" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input></inputs><script><block s="doReport"><block s="reportIfElse"><block s="reportVariadicEquals"><list><custom-block s="Scheme number %s of %s"><l>real-part</l><block var="z1"/></custom-block><custom-block s="Scheme number %s of %s"><l>real-part</l><block var="z2"/></custom-block></list></block><block s="reportVariadicGreaterThan"><list><custom-block s="Scheme number %s of %s"><l>imag-part</l><block var="z1"/></custom-block><custom-block s="Scheme number %s of %s"><l>imag-part</l><block var="z2"/></custom-block></list></block><block s="reportVariadicGreaterThan"><list><custom-block s="Scheme number %s of %s"><l>real-part</l><block var="z1"/></custom-block><custom-block s="Scheme number %s of %s"><l>real-part</l><block var="z2"/></custom-block></list></block></block></block></script></block-definition></blocks><primitives></primitives><stage name="Stage" width="480" height="360" costume="0" color="255,255,255,1" tempo="60" threadsafe="false" penlog="false" volume="100" pan="0" lines="round" ternary="false" hyperops="true" codify="false" inheritance="true" sublistIDs="false" 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