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1#!./perl
2
3# $RCSfile$
4#
5aabfad6
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5# Regression tests for the Math::Complex pacakge
6# -- Raphael Manfredi, September 1996
5cd24f17 7# -- Jarkko Hietaniemi, March-April 1997
5aabfad6 8
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9BEGIN {
10 chdir 't' if -d 't';
11 @INC = '../lib';
12}
5aabfad6 13
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14use Math::Complex;
15
16$test = 0;
17$| = 1;
fe82cf6e 18@script = ();
5aabfad6 19my $eps = 1e-11;
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20
21while (<DATA>) {
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22 s/^\s+//;
23 next if $_ eq '' || /^\#/;
24 chomp;
25 $test_set = 0; # Assume not a test over a set of values
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26 if (/^&(.*)/) {
27 $op = $1;
28 next;
29 }
30 elsif (/^\{(.*)\}/) {
31 set($1, \@set, \@val);
32 next;
33 }
34 elsif (s/^\|//) {
0c721ce2 35 $test_set = 1; # Requests we loop over the set...
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36 }
37 my @args = split(/:/);
0c721ce2 38 if ($test_set == 1) {
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39 my $i;
40 for ($i = 0; $i < @set; $i++) {
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41 # complex number
42 $target = $set[$i];
43 # textual value as found in set definition
44 $zvalue = $val[$i];
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45 test($zvalue, $target, @args);
46 }
47 } else {
48 test($op, undef, @args);
49 }
50}
51
5cd24f17
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52# test the divbyzeros
53
54test_dbz(
55 'i/0',
56# 'tan(pi/2)', # may succeed thanks to floating point inaccuracies
57# 'sec(pi/2)', # may succeed thanks to floating point inaccuracies
58 'csc(0)',
59 'cot(0)',
60 'atan(i)',
61 'asec(0)',
62 'acsc(0)',
63 'acot(i)',
64# 'tanh(pi/2)', # may succeed thanks to floating point inaccuracies
65# 'sech(pi/2)', # may succeed thanks to floating point inaccuracies
66 'csch(0)',
67 'coth(0)',
68 'atanh(1)',
69 'asech(0)',
70 'acsch(0)',
71 'acoth(1)'
72 );
73
74sub test_dbz {
75 for my $op (@_) {
76 $test++;
77
78 push(@script, qq(eval '$op';));
79 push(@script, qq(print 'not ' unless (\$@ =~ /Division by zero/);));
80 push(@script, qq(print "ok $test\n";));
81 }
82}
83
89d0527d 84print "1..$test\n";
fe82cf6e 85eval join '', @script;
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86die $@ if $@;
87
88sub test {
89 my ($op, $z, @args) = @_;
90 $test++;
91 my $i;
92 for ($i = 0; $i < @args; $i++) {
93 $val = value($args[$i]);
fe82cf6e 94 push @script, "\$z$i = $val;\n";
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95 }
96 if (defined $z) {
97 $args = "'$op'"; # Really the value
0c721ce2 98 $try = "abs(\$z0 - \$z1) <= $eps ? \$z1 : \$z0";
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99 push @script, "\$res = $try; ";
100 push @script, "check($test, $args[0], \$res, \$z$#args, $args);\n";
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101 } else {
102 my ($try, $args);
103 if (@args == 2) {
104 $try = "$op \$z0";
105 $args = "'$args[0]'";
106 } else {
107 $try = ($op =~ /^\w/) ? "$op(\$z0, \$z1)" : "\$z0 $op \$z1";
108 $args = "'$args[0]', '$args[1]'";
109 }
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110 push @script, "\$res = $try; ";
111 push @script, "check($test, '$try', \$res, \$z$#args, $args);\n";
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112 }
113}
114
115sub set {
116 my ($set, $setref, $valref) = @_;
117 @{$setref} = ();
118 @{$valref} = ();
119 my @set = split(/;\s*/, $set);
120 my @res;
121 my $i;
122 for ($i = 0; $i < @set; $i++) {
123 push(@{$valref}, $set[$i]);
124 my $val = value($set[$i]);
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125 push @script, "\$s$i = $val;\n";
126 push @{$setref}, "\$s$i";
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127 }
128}
129
130sub value {
131 local ($_) = @_;
132 if (/^\s*\((.*),(.*)\)/) {
133 return "cplx($1,$2)";
134 }
135 elsif (/^\s*\[(.*),(.*)\]/) {
136 return "cplxe($1,$2)";
137 }
138 elsif (/^\s*'(.*)'/) {
139 my $ex = $1;
140 $ex =~ s/\bz\b/$target/g;
141 $ex =~ s/\br\b/abs($target)/g;
142 $ex =~ s/\bt\b/arg($target)/g;
143 $ex =~ s/\ba\b/Re($target)/g;
144 $ex =~ s/\bb\b/Im($target)/g;
145 return $ex;
146 }
147 elsif (/^\s*"(.*)"/) {
148 return "\"$1\"";
149 }
150 return $_;
151}
152
153sub check {
154 my ($test, $try, $got, $expected, @z) = @_;
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155
156# print "# @_\n";
157
158 if ("$got" eq "$expected"
159 ||
160 ($expected =~ /^-?\d/ && $got == $expected)
161 ||
162 (abs($got - $expected) < $eps)
163 ) {
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164 print "ok $test\n";
165 } else {
166 print "not ok $test\n";
167 my $args = (@z == 1) ? "z = $z[0]" : "z0 = $z[0], z1 = $z[1]";
168 print "# '$try' expected: '$expected' got: '$got' for $args\n";
169 }
170}
171__END__
172&+
173(3,4):(3,4):(6,8)
174(-3,4):(3,-4):(0,0)
175(3,4):-3:(0,4)
1761:(4,2):(5,2)
177[2,0]:[2,pi]:(0,0)
178
179&++
180(2,1):(3,1)
181
182&-
183(2,3):(-2,-3)
184[2,pi/2]:[2,-(pi)/2]
1852:[2,0]:(0,0)
186[3,0]:2:(1,0)
1873:(4,5):(-1,-5)
188(4,5):3:(1,5)
189
190&--
191(1,2):(0,2)
192[2,pi]:[3,pi]
193
194&*
195(0,1):(0,1):(-1,0)
196(4,5):(1,0):(4,5)
197[2,2*pi/3]:(1,0):[2,2*pi/3]
1982:(0,1):(0,2)
199(0,1):3:(0,3)
200(0,1):(4,1):(-1,4)
201(2,1):(4,-1):(9,2)
202
203&/
204(3,4):(3,4):(1,0)
205(4,-5):1:(4,-5)
2061:(0,1):(0,-1)
207(0,6):(0,2):(3,0)
208(9,2):(4,-1):(2,1)
209[4,pi]:[2,pi/2]:[2,pi/2]
210[2,pi/2]:[4,pi]:[0.5,-(pi)/2]
211
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212&Re
213(3,4):3
214(-3,4):-3
215[1,pi/2]:0
216
217&Im
218(3,4):4
219(3,-4):-4
220[1,pi/2]:1
221
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222&abs
223(3,4):5
224(-3,4):5
225
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226&arg
227[2,0]:0
228[-2,0]:pi
229
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230&~
231(4,5):(4,-5)
232(-3,4):(-3,-4)
233[2,pi/2]:[2,-(pi)/2]
234
235&<
236(3,4):(1,2):0
237(3,4):(3,2):0
238(3,4):(3,8):1
239(4,4):(5,129):1
240
241&==
242(3,4):(4,5):0
243(3,4):(3,5):0
244(3,4):(2,4):0
245(3,4):(3,4):1
246
247&sqrt
0c721ce2 248-9:(0,3)
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249(-100,0):(0,10)
250(16,-30):(5,-3)
251
252&stringify_cartesian
253(-100,0):"-100"
254(0,1):"i"
255(4,-3):"4-3i"
256(4,0):"4"
257(-4,0):"-4"
258(-2,4):"-2+4i"
259(-2,-1):"-2-i"
260
261&stringify_polar
262[-1, 0]:"[1,pi]"
263[1, pi/3]:"[1,pi/3]"
264[6, -2*pi/3]:"[6,-2pi/3]"
265[0.5, -9*pi/11]:"[0.5,-9pi/11]"
266
267{ (4,3); [3,2]; (-3,4); (0,2); [2,1] }
268
269|'z + ~z':'2*Re(z)'
270|'z - ~z':'2*i*Im(z)'
271|'z * ~z':'abs(z) * abs(z)'
272
0c721ce2 273{ (2,3); [3,2]; (-3,2); (0,2); 3; 1.2; -3; (-3, 0); (-2, -1); [2,1] }
89d0527d 274
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275|'(root(z, 4))[1] ** 4':'z'
276|'(root(z, 5))[3] ** 5':'z'
277|'(root(z, 8))[7] ** 8':'z'
89d0527d 278|'abs(z)':'r'
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279|'acot(z)':'acotan(z)'
280|'acsc(z)':'acosec(z)'
281|'acsc(z)':'asin(1 / z)'
282|'asec(z)':'acos(1 / z)'
89d0527d 283|'cbrt(z)':'cbrt(r) * exp(i * t/3)'
89d0527d 284|'cos(acos(z))':'z'
89d0527d 285|'cos(z) ** 2 + sin(z) ** 2':1
89d0527d 286|'cos(z)':'cosh(i*z)'
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287|'cosh(z) ** 2 - sinh(z) ** 2':1
288|'cot(acot(z))':'z'
289|'cot(z)':'1 / tan(z)'
290|'cot(z)':'cotan(z)'
291|'csc(acsc(z))':'z'
292|'csc(z)':'1 / sin(z)'
293|'csc(z)':'cosec(z)'
89d0527d 294|'exp(log(z))':'z'
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295|'exp(z)':'exp(a) * exp(i * b)'
296|'ln(z)':'log(z)'
297|'log(exp(z))':'z'
298|'log(z)':'log(r) + i*t'
89d0527d 299|'log10(z)':'log(z) / log(10)'
89d0527d 300|'logn(z, 2)':'log(z) / log(2)'
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301|'logn(z, 3)':'log(z) / log(3)'
302|'sec(asec(z))':'z'
303|'sec(z)':'1 / cos(z)'
304|'sin(asin(z))':'z'
305|'sin(i * z)':'i * sinh(z)'
306|'sqrt(z) * sqrt(z)':'z'
307|'sqrt(z)':'sqrt(r) * exp(i * t/2)'
308|'tan(atan(z))':'z'
309|'z**z':'exp(z * log(z))'
89d0527d 310
0c721ce2 311{ (1,1); [1,0.5]; (-2, -1); 2; -3; (-1,0.5); (0,0.5); 0.5; (2, 0); (-1, -2) }
89d0527d 312
89d0527d 313|'cosh(acosh(z))':'z'
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314|'coth(acoth(z))':'z'
315|'coth(z)':'1 / tanh(z)'
316|'coth(z)':'cotanh(z)'
317|'csch(acsch(z))':'z'
318|'csch(z)':'1 / sinh(z)'
319|'csch(z)':'cosech(z)'
320|'sech(asech(z))':'z'
321|'sech(z)':'1 / cosh(z)'
322|'sinh(asinh(z))':'z'
89d0527d 323|'tanh(atanh(z))':'z'
89d0527d 324
0c721ce2 325{ (0.2,-0.4); [1,0.5]; -1.2; (-1,0.5); 0.5; (1.1, 0) }
89d0527d 326
89d0527d 327|'acos(cos(z)) ** 2':'z * z'
89d0527d 328|'acosh(cosh(z)) ** 2':'z * z'
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329|'acoth(z)':'acotanh(z)'
330|'acoth(z)':'atanh(1 / z)'
331|'acsch(z)':'acosech(z)'
332|'acsch(z)':'asinh(1 / z)'
333|'asech(z)':'acosh(1 / z)'
334|'asin(sin(z))':'z'
335|'asinh(sinh(z))':'z'
336|'atan(tan(z))':'z'
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337|'atanh(tanh(z))':'z'
338
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339&sin
340( 2, 3):( 9.15449914691143, -4.16890695996656)
341(-2, 3):( -9.15449914691143, -4.16890695996656)
342(-2,-3):( -9.15449914691143, 4.16890695996656)
343( 2,-3):( 9.15449914691143, 4.16890695996656)
344
345&cos
346( 2, 3):( -4.18962569096881, -9.10922789375534)
347(-2, 3):( -4.18962569096881, 9.10922789375534)
348(-2,-3):( -4.18962569096881, -9.10922789375534)
349( 2,-3):( -4.18962569096881, 9.10922789375534)
350
351&tan
352( 2, 3):( -0.00376402564150, 1.00323862735361)
353(-2, 3):( 0.00376402564150, 1.00323862735361)
354(-2,-3):( 0.00376402564150, -1.00323862735361)
355( 2,-3):( -0.00376402564150, -1.00323862735361)
356
357&sec
358( 2, 3):( -0.04167496441114, 0.09061113719624)
359(-2, 3):( -0.04167496441114, -0.09061113719624)
360(-2,-3):( -0.04167496441114, 0.09061113719624)
361( 2,-3):( -0.04167496441114, -0.09061113719624)
362
363&csc
364( 2, 3):( 0.09047320975321, 0.04120098628857)
365(-2, 3):( -0.09047320975321, 0.04120098628857)
366(-2,-3):( -0.09047320975321, -0.04120098628857)
367( 2,-3):( 0.09047320975321, -0.04120098628857)
368
369&cot
370( 2, 3):( -0.00373971037634, -0.99675779656936)
371(-2, 3):( 0.00373971037634, -0.99675779656936)
372(-2,-3):( 0.00373971037634, 0.99675779656936)
373( 2,-3):( -0.00373971037634, 0.99675779656936)
374
375&asin
376( 2, 3):( 0.57065278432110, 1.98338702991654)
377(-2, 3):( -0.57065278432110, 1.98338702991654)
378(-2,-3):( -0.57065278432110, -1.98338702991654)
379( 2,-3):( 0.57065278432110, -1.98338702991654)
380
381&acos
382( 2, 3):( 1.00014354247380, -1.98338702991654)
383(-2, 3):( 2.14144911111600, -1.98338702991654)
384(-2,-3):( 2.14144911111600, 1.98338702991654)
385( 2,-3):( 1.00014354247380, 1.98338702991654)
386
387&atan
388( 2, 3):( 1.40992104959658, 0.22907268296854)
389(-2, 3):( -1.40992104959658, 0.22907268296854)
390(-2,-3):( -1.40992104959658, -0.22907268296854)
391( 2,-3):( 1.40992104959658, -0.22907268296854)
392
393&asec
394( 2, 3):( 1.42041072246703, 0.23133469857397)
395(-2, 3):( 1.72118193112276, 0.23133469857397)
396(-2,-3):( 1.72118193112276, -0.23133469857397)
397( 2,-3):( 1.42041072246703, -0.23133469857397)
398
399&acsc
400( 2, 3):( 0.15038560432786, -0.23133469857397)
401(-2, 3):( -0.15038560432786, -0.23133469857397)
402(-2,-3):( -0.15038560432786, 0.23133469857397)
403( 2,-3):( 0.15038560432786, 0.23133469857397)
404
405&acot
406( 2, 3):( 0.16087527719832, -0.22907268296854)
407(-2, 3):( -0.16087527719832, -0.22907268296854)
408(-2,-3):( -0.16087527719832, 0.22907268296854)
409( 2,-3):( 0.16087527719832, 0.22907268296854)
410
411&sinh
412( 2, 3):( -3.59056458998578, 0.53092108624852)
413(-2, 3):( 3.59056458998578, 0.53092108624852)
414(-2,-3):( 3.59056458998578, -0.53092108624852)
415( 2,-3):( -3.59056458998578, -0.53092108624852)
416
417&cosh
418( 2, 3):( -3.72454550491532, 0.51182256998738)
419(-2, 3):( -3.72454550491532, -0.51182256998738)
420(-2,-3):( -3.72454550491532, 0.51182256998738)
421( 2,-3):( -3.72454550491532, -0.51182256998738)
422
423&tanh
424( 2, 3):( 0.96538587902213, -0.00988437503832)
425(-2, 3):( -0.96538587902213, -0.00988437503832)
426(-2,-3):( -0.96538587902213, 0.00988437503832)
427( 2,-3):( 0.96538587902213, 0.00988437503832)
428
429&sech
430( 2, 3):( -0.26351297515839, -0.03621163655877)
431(-2, 3):( -0.26351297515839, 0.03621163655877)
432(-2,-3):( -0.26351297515839, -0.03621163655877)
433( 2,-3):( -0.26351297515839, 0.03621163655877)
434
435&csch
436( 2, 3):( -0.27254866146294, -0.04030057885689)
437(-2, 3):( 0.27254866146294, -0.04030057885689)
438(-2,-3):( 0.27254866146294, 0.04030057885689)
439( 2,-3):( -0.27254866146294, 0.04030057885689)
440
441&coth
442( 2, 3):( 1.03574663776500, 0.01060478347034)
443(-2, 3):( -1.03574663776500, 0.01060478347034)
444(-2,-3):( -1.03574663776500, -0.01060478347034)
445( 2,-3):( 1.03574663776500, -0.01060478347034)
446
447&asinh
448( 2, 3):( 1.96863792579310, 0.96465850440760)
449(-2, 3):( -1.96863792579310, 0.96465850440761)
450(-2,-3):( -1.96863792579310, -0.96465850440761)
451( 2,-3):( 1.96863792579310, -0.96465850440760)
452
453&acosh
454( 2, 3):( 1.98338702991654, 1.00014354247380)
455(-2, 3):( -1.98338702991653, -2.14144911111600)
456(-2,-3):( -1.98338702991653, 2.14144911111600)
457( 2,-3):( 1.98338702991654, -1.00014354247380)
458
459&atanh
460( 2, 3):( 0.14694666622553, 1.33897252229449)
461(-2, 3):( -0.14694666622553, 1.33897252229449)
462(-2,-3):( -0.14694666622553, -1.33897252229449)
463( 2,-3):( 0.14694666622553, -1.33897252229449)
464
465&asech
466( 2, 3):( 0.23133469857397, -1.42041072246703)
467(-2, 3):( -0.23133469857397, 1.72118193112276)
468(-2,-3):( -0.23133469857397, -1.72118193112276)
469( 2,-3):( 0.23133469857397, 1.42041072246703)
470
471&acsch
472( 2, 3):( 0.15735549884499, -0.22996290237721)
473(-2, 3):( -0.15735549884499, -0.22996290237721)
474(-2,-3):( -0.15735549884499, 0.22996290237721)
475( 2,-3):( 0.15735549884499, 0.22996290237721)
476
477&acoth
478( 2, 3):( 0.14694666622553, -0.23182380450040)
479(-2, 3):( -0.14694666622553, -0.23182380450040)
480(-2,-3):( -0.14694666622553, 0.23182380450040)
481( 2,-3):( 0.14694666622553, 0.23182380450040)
482
483# eof