<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>using functions</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_using_spfunctions_spwith_spoptional_spinputs.html">next</a> | <a href="_catch.html">previous</a> | <a href="_using_spfunctions_spwith_spoptional_spinputs.html">forward</a> | <a href="_catch.html">backward</a> | <a href="___The_sp__Macaulay2_splanguage.html">up</a> | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <div><a href="index.html" title="">Macaulay2Doc</a> > <a href="___The_sp__Macaulay2_splanguage.html" title="">The Macaulay2 language</a> > <a href="_using_spfunctions.html" title="">using functions</a></div> <hr/> <div><h1>using functions</h1> <div>There are many functions in Macaulay2 that do various things. You can get a brief indication of what a function does by typing its name.<table class="examples"><tr><td><pre>i1 : sin o1 = sin o1 : CompiledFunction</pre> </td></tr> </table> In this case, we see that the function <a href="_sin.html" title="compute the sine">sin</a> takes a single argument <tt>x</tt>. We apply a function to its argument by typing them in adjacent positions. It is possible but not necessary to place parentheses around the argument.<table class="examples"><tr><td><pre>i2 : sin 1.2 o2 = .932039085967226 o2 : RR (of precision 53)</pre> </td></tr> <tr><td><pre>i3 : sin(1.2) o3 = .932039085967226 o3 : RR (of precision 53)</pre> </td></tr> <tr><td><pre>i4 : sin(1.0+0.2) o4 = .932039085967226 o4 : RR (of precision 53)</pre> </td></tr> </table> In parsing the operator <a href="_^.html" title="a binary operator, usually used for powers">^</a> takes precedence over adjacency, so the function is applied after the power is computed in the following code. This may not be what you expect.<table class="examples"><tr><td><pre>i5 : print(10 + 1)^2 121</pre> </td></tr> </table> Some functions take more than one argument, and the arguments are separated by a comma, and then parentheses are needed.<table class="examples"><tr><td><pre>i6 : append o6 = append o6 : CompiledFunction</pre> </td></tr> <tr><td><pre>i7 : append({a,b,c},d) o7 = {a, b, c, d} o7 : List</pre> </td></tr> </table> Some functions take a variable number of arguments.<table class="examples"><tr><td><pre>i8 : join o8 = join o8 : CompiledFunction</pre> </td></tr> <tr><td><pre>i9 : join({a,b},{c,d},{e,f},{g,h,i}) o9 = {a, b, c, d, e, f, g, h, i} o9 : List</pre> </td></tr> </table> Functions, like anything else, can be assigned to variables. You may do this to provide handy private abbreviations.<table class="examples"><tr><td><pre>i10 : ap = append;</pre> </td></tr> <tr><td><pre>i11 : ap({a,b,c},d) o11 = {a, b, c, d} o11 : List</pre> </td></tr> </table> </div> </div> </body> </html>