tests/rtest6b.mac

   1 /*************** -*- Mode: MACSYMA; Package: MAXIMA -*-  ******************/
   2 /***************************************************************************
   3 ***                                                                    *****
   4 ***     Copyright (c) 1984 by William Schelter,University of Texas     *****
   5 ***     All rights reserved                                            *****
   6 ***************************************************************************/
   7
   8
   9 1/(x^2+2);
  10 1/(x^2+2)$
  11 substpart(3/2,%,2,1,2);
  12 1/(x^(3/2)+2)$
  13 27*y^3+54*x*y^2+36*x^2*y+y+8*x^3+x+1;
  14 27*y^3+54*x*y^2+36*x^2*y+y+8*x^3+x+1$
  15 substpart(factor(piece),%,[1,2,3,5]);
  16 (3*y+2*x)^3+y+x+1$
  17 1/x+y/x-1/z;
  18 -1/z+y/x+1/x$
  19 substpart(xthru(piece),%,[2,3]);
  20 (y+1)/x-1/z$
  21 substpart("+",%,1,0);
  22 -1/z+y+x+1$
  23 ratsimp((k^2*x^2-1)*(cos(x)+eps)/(3*k+n[1])/(5*k-n[2]));
  24 ((k^2*x^2-1)*cos(x)+eps*k^2*x^2-eps)/(15*k^2+(5*n[1]-3*n[2])*k-n[1]*n[2])$
  25 factor(%);
  26 (k*x-1)*(k*x+1)*(cos(x)+eps)/((3*k+n[1])*(5*k-n[2]))$
  27 substpart(ratsimp(piece),%,1,[1,2]);
  28 (k^2*x^2-1)*(cos(x)+eps)/((3*k+n[1])*(5*k-n[2]))$
  29 -substpart(-piece,%,1,1);
  30 -((1-k^2*x^2)*(cos(x)+eps)/((3*k+n[1])*(5*k-n[2])))$
  31 a+b/(x*(y+(a+b)*x)+1);
  32 b/(x*(y+(b+a)*x)+1)+a$
  33 substpart(multthru(piece),%,1,2,1);
  34 b/(x*y+(b+a)*x^2+1)+a$
  35 x . 'diff(f(x),x,2);
  36 x . 'diff(f(x),x,2)$
  37 substinpart(d^2,%,2);
  38 x . d^2$
  39 substinpart(f1,f[1](x+1),0);
  40 f1(x+1)$
  41
  42 /* SF bug #2667: "tex1 of f(x)^n" */
  43
  44 simp:false $
  45 false $
  46
  47 tex1 (sqrt(x)^n);
  48 "\\sqrt{x}^{n}";
  49
  50 simp:true $
  51 true $
  52
  53 tex1(sin(x)^2);
  54 "\\sin ^2x";
  55
  56 tex1(f(x)^2);
  57 "f\\left(x\\right)^2";
  58
  59 tex1(sin(x)^n);
  60 "\\sin ^{n}x";
  61
  62 tex1(f(x)^n);
  63 "f\\left(x\\right)^{n}";
  64
  65 tex1(sin(x)^-1);
  66 "{{1}\\over{\\sin x}}";
  67
  68 tex1(f(x)^-1);
  69 "{{1}\\over{f\\left(x\\right)}}";
  70
  71 tex1(sin(x)^-2);
  72 "{{1}\\over{\\sin ^2x}}";
  73
  74 tex1(f(x)^-2);
  75 "{{1}\\over{f\\left(x\\right)^2}}";
  76
  77 /* see: https://stackoverflow.com/questions/66056058/wxmaxima-texput-for-powers-of-expressions
  78  */
  79
  80 logexpand: false; /* disable log simplifications */
  81 false;
  82
  83 foo: map (tex1, [log(x), log(x+1), log(x)^n]);
  84 ["\\log x","\\log \\left(x+1\\right)","\\left(\\log x\\right)^{n}"];
  85
  86 texput (log, "\\ln ");
  87 "\\ln ";
  88
  89 bar: map (tex1, [log(x), log(x+1), log(x)^n]);
  90 ["\\ln x","\\ln \\left(x+1\\right)","\\left(\\ln x\\right)^{n}"];
  91
  92 /* verify that log is just as it was before but with \ln instead of \log */
  93
  94 if bar = map (lambda ([s], ssubst ("ln", "log", s)), foo) then true else bar;
  95 true;
  96
  97 /* there's no user-level interface for this, and :lisp isn't recognized in test scripts, so ... */
  98 block([simp:false], ?nconc(?\*tex\-mexpt\-trig\-like\-fns\*, ?list(log)), 0);
  99 0;
 100
 101 baz: map (tex1, [log(x), log(x+1), log(x)^n]);
 102 ["\\ln x","\\ln \\left(x+1\\right)","\\ln ^{n}x"];
 103
 104 /* verify that now, log acts just like tan in tex output */
 105
 106 map (lambda ([s], ssubst ("ln", "tan", s)), map (tex1, [tan(x), tan(x+1), tan(x)^n]));
 107 ''baz;
 108
 109 (reset (), 0);
 110 0;