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<head><title>callMaple -- Run a Maple program from Macaulay 2.</title>
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<div><h1>callMaple -- Run a Maple program from Macaulay 2.</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>callMaple(mapleprogram)</tt><br/><tt>callMaple(inputdata1,inputdata2,mapleprogram)</tt></div>
</dd></dl>
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<li><div class="single">Inputs:<ul><li><span><tt>inputdata1</tt>, <span>a <a href="../../Macaulay2Doc/html/___String.html">string</a></span></span></li>
<li><span><tt>inputdata2</tt>, <span>a <a href="../../Macaulay2Doc/html/___String.html">string</a></span></span></li>
<li><span><tt>mapleprogram</tt>, <span>a <a href="../../Macaulay2Doc/html/___String.html">string</a></span></span></li>
</ul>
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</li>
<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___Thing.html">thing</a></span></span></li>
</ul>
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</li>
<li><div class="single"><a href="../../Macaulay2Doc/html/_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="_store.html">store => ...</a>, -- Store result of a Maple computation in a file.</span></li>
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<div class="single"><h2>Description</h2>
<div><p>This function calls a Mapleprogram given as a string mapleprogram.</p>
<p>Note that any command line there has to end with a semicolon.</p>
<p>The arguments inputdata1 and inputdata2 are here just for convenience and you can put the empty strings if you want or leave them away.</p>
<p>Inside mapleprogram the string placeholder1 is then replaced by the string inputdata1 and placeholder2 is replaced the string inputdata2.</p>
<p>In the string inputdata1 we take care automatically of the main compatibility problem between <i>Macaulay2</i> and Maple which is replacing in lists the curly brackets are by square brackets.</p>
<p>The Maple program has to write its output in the Maple variable returnvalue. This is converted in Maple into a string, square brackets are replaced by curly brackets and then this string is evaluated in <i>Macaulay2</i> via the function <a href="../../Macaulay2Doc/html/_value.html" title="evaluate">value</a>.</p>
<p>A very simple example:</p>
<div/>
<table class="examples"><tr><td><pre>i1 : L={3,5}
o1 = {3, 5}
o1 : List</pre>
</td></tr>
<tr><td><pre>i2 : mapleprogram="L:=placeholder1;returnvalue:=L[1]+L[2];";</pre>
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<tr><td><pre>i3 : callMaple(toString L,"",mapleprogram)
o3 = 8</pre>
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<p></p>
<p>Here is an example how to send a <a href="../../Macaulay2Doc/html/___Matrix.html" title="the class of all matrices">Matrix</a> to Maple, compute its integer normal form and send it back to <i>Macaulay2</i>:</p>
<div/>
<table class="examples"><tr><td><pre>i4 : A=matrix {{1,5,7},{7,13,5}}
o4 = | 1 5 7 |
| 7 13 5 |
2 3
o4 : Matrix ZZ <--- ZZ</pre>
</td></tr>
<tr><td><pre>i5 : inputdata1=toString entries A
o5 = {{1, 5, 7}, {7, 13, 5}}</pre>
</td></tr>
<tr><td><pre>i6 : mapleprogram="with(linalg,ismith);A:=placeholder1;S:=ismith(A);returnvalue:=convert(S,listlist);";</pre>
</td></tr>
<tr><td><pre>i7 : matrix callMaple(inputdata1,"",mapleprogram)
o7 = | 1 0 0 |
| 0 22 0 |
2 3
o7 : Matrix ZZ <--- ZZ</pre>
</td></tr>
</table>
<p></p>
<p>Using inputdata2 to pass the command ismith to Maple:</p>
<div/>
<table class="examples"><tr><td><pre>i8 : A=matrix {{1,5,7},{7,13,5}}
o8 = | 1 5 7 |
| 7 13 5 |
2 3
o8 : Matrix ZZ <--- ZZ</pre>
</td></tr>
<tr><td><pre>i9 : inputdata1=toString entries A
o9 = {{1, 5, 7}, {7, 13, 5}}</pre>
</td></tr>
<tr><td><pre>i10 : inputdata2="ismith"
o10 = ismith</pre>
</td></tr>
<tr><td><pre>i11 : mapleprogram="with(linalg,placeholder2);A:=placeholder1;S:=placeholder2(A);returnvalue:=convert(S,listlist);";</pre>
</td></tr>
<tr><td><pre>i12 : matrix callMaple(inputdata1,inputdata2,mapleprogram)
o12 = | 1 0 0 |
| 0 22 0 |
2 3
o12 : Matrix ZZ <--- ZZ</pre>
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<p></p>
<p>(Note that it may be more convenient for you to use for mapleprogram the three-slashes string delimiter but this cannot be done here in the doc environment).</p>
<p>Same program but obtaining also the base change matrices:</p>
<div/>
<table class="examples"><tr><td><pre>i13 : A=matrix {{1,5,7},{7,13,5}}
o13 = | 1 5 7 |
| 7 13 5 |
2 3
o13 : Matrix ZZ <--- ZZ</pre>
</td></tr>
<tr><td><pre>i14 : inputdata1=toString entries A
o14 = {{1, 5, 7}, {7, 13, 5}}</pre>
</td></tr>
<tr><td><pre>i15 : inputdata2="ismith";</pre>
</td></tr>
<tr><td><pre>i16 : mapleprogram="with(linalg,placeholder2):A:=placeholder1;S:=placeholder2(A,U,V);returnvalue:=[convert(S,listlist),convert(U,listlist),convert(V,listlist)];";</pre>
</td></tr>
<tr><td><pre>i17 : L=callMaple(inputdata1,inputdata2,mapleprogram);</pre>
</td></tr>
<tr><td><pre>i18 : S=matrix L#0
o18 = | 1 0 0 |
| 0 22 0 |
2 3
o18 : Matrix ZZ <--- ZZ</pre>
</td></tr>
<tr><td><pre>i19 : U=matrix L#1
o19 = | 1 0 |
| -7 1 |
2 2
o19 : Matrix ZZ <--- ZZ</pre>
</td></tr>
<tr><td><pre>i20 : V=matrix L#2
o20 = | 1 5 3 |
| 0 -1 -2 |
| 0 0 1 |
3 3
o20 : Matrix ZZ <--- ZZ</pre>
</td></tr>
<tr><td><pre>i21 : U*A*V==S
o21 = true</pre>
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<div class="waystouse"><h2>Ways to use <tt>callMaple</tt> :</h2>
<ul><li>callMaple(String)</li>
<li>callMaple(String,String,String)</li>
</ul>
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