5 # Regression tests for the Math::Complex pacakge
6 # -- Raphael Manfredi, September 1996
7 # -- Jarkko Hietaniemi, March 1997
23 next if $_ eq '' || /^\#/;
25 $test_set = 0; # Assume not a test over a set of values
31 set($1, \@set, \@val);
35 $test_set = 1; # Requests we loop over the set...
37 my @args = split(/:/);
40 for ($i = 0; $i < @set; $i++) {
43 # textual value as found in set definition
45 test($zvalue, $target, @args);
48 test($op, undef, @args);
53 eval join '', @script;
57 my ($op, $z, @args) = @_;
60 for ($i = 0; $i < @args; $i++) {
61 $val = value($args[$i]);
62 push @script, "\$z$i = $val;\n";
65 $args = "'$op'"; # Really the value
66 $try = "abs(\$z0 - \$z1) <= $eps ? \$z1 : \$z0";
67 push @script, "\$res = $try; ";
68 push @script, "check($test, $args[0], \$res, \$z$#args, $args);\n";
75 $try = ($op =~ /^\w/) ? "$op(\$z0, \$z1)" : "\$z0 $op \$z1";
76 $args = "'$args[0]', '$args[1]'";
78 push @script, "\$res = $try; ";
79 push @script, "check($test, '$try', \$res, \$z$#args, $args);\n";
84 my ($set, $setref, $valref) = @_;
87 my @set = split(/;\s*/, $set);
90 for ($i = 0; $i < @set; $i++) {
91 push(@{$valref}, $set[$i]);
92 my $val = value($set[$i]);
93 push @script, "\$s$i = $val;\n";
94 push @{$setref}, "\$s$i";
100 if (/^\s*\((.*),(.*)\)/) {
101 return "cplx($1,$2)";
103 elsif (/^\s*\[(.*),(.*)\]/) {
104 return "cplxe($1,$2)";
106 elsif (/^\s*'(.*)'/) {
108 $ex =~ s/\bz\b/$target/g;
109 $ex =~ s/\br\b/abs($target)/g;
110 $ex =~ s/\bt\b/arg($target)/g;
111 $ex =~ s/\ba\b/Re($target)/g;
112 $ex =~ s/\bb\b/Im($target)/g;
115 elsif (/^\s*"(.*)"/) {
122 my ($test, $try, $got, $expected, @z) = @_;
126 if ("$got" eq "$expected"
128 ($expected =~ /^-?\d/ && $got == $expected)
130 (abs($got - $expected) < $eps)
134 print "not ok $test\n";
135 my $args = (@z == 1) ? "z = $z[0]" : "z0 = $z[0], z1 = $z[1]";
136 print "# '$try' expected: '$expected' got: '$got' for $args\n";
165 [2,2*pi/3]:(1,0):[2,2*pi/3]
177 [4,pi]:[2,pi/2]:[2,pi/2]
178 [2,pi/2]:[4,pi]:[0.5,-(pi)/2]
232 [6, -2*pi/3]:"[6,-2pi/3]"
233 [0.5, -9*pi/11]:"[0.5,-9pi/11]"
235 { (4,3); [3,2]; (-3,4); (0,2); [2,1] }
238 |'z - ~z':'2*i*Im(z)'
239 |'z * ~z':'abs(z) * abs(z)'
241 { (2,3); [3,2]; (-3,2); (0,2); 3; 1.2; -3; (-3, 0); (-2, -1); [2,1] }
243 |'(root(z, 4))[1] ** 4':'z'
244 |'(root(z, 5))[3] ** 5':'z'
245 |'(root(z, 8))[7] ** 8':'z'
247 |'acot(z)':'acotan(z)'
248 |'acsc(z)':'acosec(z)'
249 |'acsc(z)':'asin(1 / z)'
250 |'asec(z)':'acos(1 / z)'
251 |'cbrt(z)':'cbrt(r) * exp(i * t/3)'
253 |'cos(z) ** 2 + sin(z) ** 2':1
254 |'cos(z)':'cosh(i*z)'
255 |'cosh(z) ** 2 - sinh(z) ** 2':1
257 |'cot(z)':'1 / tan(z)'
260 |'csc(z)':'1 / sin(z)'
263 |'exp(z)':'exp(a) * exp(i * b)'
266 |'log(z)':'log(r) + i*t'
267 |'log10(z)':'log(z) / log(10)'
268 |'logn(z, 2)':'log(z) / log(2)'
269 |'logn(z, 3)':'log(z) / log(3)'
271 |'sec(z)':'1 / cos(z)'
273 |'sin(i * z)':'i * sinh(z)'
274 |'sqrt(z) * sqrt(z)':'z'
275 |'sqrt(z)':'sqrt(r) * exp(i * t/2)'
277 |'z**z':'exp(z * log(z))'
279 { (1,1); [1,0.5]; (-2, -1); 2; -3; (-1,0.5); (0,0.5); 0.5; (2, 0); (-1, -2) }
281 |'cosh(acosh(z))':'z'
282 |'coth(acoth(z))':'z'
283 |'coth(z)':'1 / tanh(z)'
284 |'coth(z)':'cotanh(z)'
285 |'csch(acsch(z))':'z'
286 |'csch(z)':'1 / sinh(z)'
287 |'csch(z)':'cosech(z)'
288 |'sech(asech(z))':'z'
289 |'sech(z)':'1 / cosh(z)'
290 |'sinh(asinh(z))':'z'
291 |'tanh(atanh(z))':'z'
293 { (0.2,-0.4); [1,0.5]; -1.2; (-1,0.5); 0.5; (1.1, 0) }
295 |'acos(cos(z)) ** 2':'z * z'
296 |'acosh(cosh(z)) ** 2':'z * z'
297 |'acoth(z)':'acotanh(z)'
298 |'acoth(z)':'atanh(1 / z)'
299 |'acsch(z)':'acosech(z)'
300 |'acsch(z)':'asinh(1 / z)'
301 |'asech(z)':'acosh(1 / z)'
303 |'asinh(sinh(z))':'z'
305 |'atanh(tanh(z))':'z'
308 ( 2, 3):( 9.15449914691143, -4.16890695996656)
309 (-2, 3):( -9.15449914691143, -4.16890695996656)
310 (-2,-3):( -9.15449914691143, 4.16890695996656)
311 ( 2,-3):( 9.15449914691143, 4.16890695996656)
314 ( 2, 3):( -4.18962569096881, -9.10922789375534)
315 (-2, 3):( -4.18962569096881, 9.10922789375534)
316 (-2,-3):( -4.18962569096881, -9.10922789375534)
317 ( 2,-3):( -4.18962569096881, 9.10922789375534)
320 ( 2, 3):( -0.00376402564150, 1.00323862735361)
321 (-2, 3):( 0.00376402564150, 1.00323862735361)
322 (-2,-3):( 0.00376402564150, -1.00323862735361)
323 ( 2,-3):( -0.00376402564150, -1.00323862735361)
326 ( 2, 3):( -0.04167496441114, 0.09061113719624)
327 (-2, 3):( -0.04167496441114, -0.09061113719624)
328 (-2,-3):( -0.04167496441114, 0.09061113719624)
329 ( 2,-3):( -0.04167496441114, -0.09061113719624)
332 ( 2, 3):( 0.09047320975321, 0.04120098628857)
333 (-2, 3):( -0.09047320975321, 0.04120098628857)
334 (-2,-3):( -0.09047320975321, -0.04120098628857)
335 ( 2,-3):( 0.09047320975321, -0.04120098628857)
338 ( 2, 3):( -0.00373971037634, -0.99675779656936)
339 (-2, 3):( 0.00373971037634, -0.99675779656936)
340 (-2,-3):( 0.00373971037634, 0.99675779656936)
341 ( 2,-3):( -0.00373971037634, 0.99675779656936)
344 ( 2, 3):( 0.57065278432110, 1.98338702991654)
345 (-2, 3):( -0.57065278432110, 1.98338702991654)
346 (-2,-3):( -0.57065278432110, -1.98338702991654)
347 ( 2,-3):( 0.57065278432110, -1.98338702991654)
350 ( 2, 3):( 1.00014354247380, -1.98338702991654)
351 (-2, 3):( 2.14144911111600, -1.98338702991654)
352 (-2,-3):( 2.14144911111600, 1.98338702991654)
353 ( 2,-3):( 1.00014354247380, 1.98338702991654)
356 ( 2, 3):( 1.40992104959658, 0.22907268296854)
357 (-2, 3):( -1.40992104959658, 0.22907268296854)
358 (-2,-3):( -1.40992104959658, -0.22907268296854)
359 ( 2,-3):( 1.40992104959658, -0.22907268296854)
362 ( 2, 3):( 1.42041072246703, 0.23133469857397)
363 (-2, 3):( 1.72118193112276, 0.23133469857397)
364 (-2,-3):( 1.72118193112276, -0.23133469857397)
365 ( 2,-3):( 1.42041072246703, -0.23133469857397)
368 ( 2, 3):( 0.15038560432786, -0.23133469857397)
369 (-2, 3):( -0.15038560432786, -0.23133469857397)
370 (-2,-3):( -0.15038560432786, 0.23133469857397)
371 ( 2,-3):( 0.15038560432786, 0.23133469857397)
374 ( 2, 3):( 0.16087527719832, -0.22907268296854)
375 (-2, 3):( -0.16087527719832, -0.22907268296854)
376 (-2,-3):( -0.16087527719832, 0.22907268296854)
377 ( 2,-3):( 0.16087527719832, 0.22907268296854)
380 ( 2, 3):( -3.59056458998578, 0.53092108624852)
381 (-2, 3):( 3.59056458998578, 0.53092108624852)
382 (-2,-3):( 3.59056458998578, -0.53092108624852)
383 ( 2,-3):( -3.59056458998578, -0.53092108624852)
386 ( 2, 3):( -3.72454550491532, 0.51182256998738)
387 (-2, 3):( -3.72454550491532, -0.51182256998738)
388 (-2,-3):( -3.72454550491532, 0.51182256998738)
389 ( 2,-3):( -3.72454550491532, -0.51182256998738)
392 ( 2, 3):( 0.96538587902213, -0.00988437503832)
393 (-2, 3):( -0.96538587902213, -0.00988437503832)
394 (-2,-3):( -0.96538587902213, 0.00988437503832)
395 ( 2,-3):( 0.96538587902213, 0.00988437503832)
398 ( 2, 3):( -0.26351297515839, -0.03621163655877)
399 (-2, 3):( -0.26351297515839, 0.03621163655877)
400 (-2,-3):( -0.26351297515839, -0.03621163655877)
401 ( 2,-3):( -0.26351297515839, 0.03621163655877)
404 ( 2, 3):( -0.27254866146294, -0.04030057885689)
405 (-2, 3):( 0.27254866146294, -0.04030057885689)
406 (-2,-3):( 0.27254866146294, 0.04030057885689)
407 ( 2,-3):( -0.27254866146294, 0.04030057885689)
410 ( 2, 3):( 1.03574663776500, 0.01060478347034)
411 (-2, 3):( -1.03574663776500, 0.01060478347034)
412 (-2,-3):( -1.03574663776500, -0.01060478347034)
413 ( 2,-3):( 1.03574663776500, -0.01060478347034)
416 ( 2, 3):( 1.96863792579310, 0.96465850440760)
417 (-2, 3):( -1.96863792579310, 0.96465850440761)
418 (-2,-3):( -1.96863792579310, -0.96465850440761)
419 ( 2,-3):( 1.96863792579310, -0.96465850440760)
422 ( 2, 3):( 1.98338702991654, 1.00014354247380)
423 (-2, 3):( -1.98338702991653, -2.14144911111600)
424 (-2,-3):( -1.98338702991653, 2.14144911111600)
425 ( 2,-3):( 1.98338702991654, -1.00014354247380)
428 ( 2, 3):( 0.14694666622553, 1.33897252229449)
429 (-2, 3):( -0.14694666622553, 1.33897252229449)
430 (-2,-3):( -0.14694666622553, -1.33897252229449)
431 ( 2,-3):( 0.14694666622553, -1.33897252229449)
434 ( 2, 3):( 0.23133469857397, -1.42041072246703)
435 (-2, 3):( -0.23133469857397, 1.72118193112276)
436 (-2,-3):( -0.23133469857397, -1.72118193112276)
437 ( 2,-3):( 0.23133469857397, 1.42041072246703)
440 ( 2, 3):( 0.15735549884499, -0.22996290237721)
441 (-2, 3):( -0.15735549884499, -0.22996290237721)
442 (-2,-3):( -0.15735549884499, 0.22996290237721)
443 ( 2,-3):( 0.15735549884499, 0.22996290237721)
446 ( 2, 3):( 0.14694666622553, -0.23182380450040)
447 (-2, 3):( -0.14694666622553, -0.23182380450040)
448 (-2,-3):( -0.14694666622553, 0.23182380450040)
449 ( 2,-3):( 0.14694666622553, 0.23182380450040)