5 # Regression tests for the new Math::Complex pacakge
6 # -- Raphael Manfredi, Septemeber 1996
7 # -- Jarkko Hietaniemi Manfredi, March 1997
17 my $eps = 1e-4; # for example root() is quite bad
21 next if $_ eq '' || /^\#/;
23 $test_set = 0; # Assume not a test over a set of values
29 set($1, \@set, \@val);
33 $test_set = 1; # Requests we loop over the set...
35 my @args = split(/:/);
38 for ($i = 0; $i < @set; $i++) {
41 # textual value as found in set definition
43 test($zvalue, $target, @args);
46 test($op, undef, @args);
51 eval join '', @script;
55 my ($op, $z, @args) = @_;
58 for ($i = 0; $i < @args; $i++) {
59 $val = value($args[$i]);
60 push @script, "\$z$i = $val;\n";
63 $args = "'$op'"; # Really the value
64 $try = "abs(\$z0 - \$z1) <= $eps ? \$z1 : \$z0";
65 push @script, "\$res = $try; ";
66 push @script, "check($test, $args[0], \$res, \$z$#args, $args);\n";
73 $try = ($op =~ /^\w/) ? "$op(\$z0, \$z1)" : "\$z0 $op \$z1";
74 $args = "'$args[0]', '$args[1]'";
76 push @script, "\$res = $try; ";
77 push @script, "check($test, '$try', \$res, \$z$#args, $args);\n";
82 my ($set, $setref, $valref) = @_;
85 my @set = split(/;\s*/, $set);
88 for ($i = 0; $i < @set; $i++) {
89 push(@{$valref}, $set[$i]);
90 my $val = value($set[$i]);
91 push @script, "\$s$i = $val;\n";
92 push @{$setref}, "\$s$i";
98 if (/^\s*\((.*),(.*)\)/) {
101 elsif (/^\s*\[(.*),(.*)\]/) {
102 return "cplxe($1,$2)";
104 elsif (/^\s*'(.*)'/) {
106 $ex =~ s/\bz\b/$target/g;
107 $ex =~ s/\br\b/abs($target)/g;
108 $ex =~ s/\bt\b/arg($target)/g;
109 $ex =~ s/\ba\b/Re($target)/g;
110 $ex =~ s/\bb\b/Im($target)/g;
113 elsif (/^\s*"(.*)"/) {
120 my ($test, $try, $got, $expected, @z) = @_;
124 if ("$got" eq "$expected"
126 ($expected =~ /^-?\d/ && $got == $expected)
128 (abs($got - $expected) < $eps)
132 print "not ok $test\n";
133 my $args = (@z == 1) ? "z = $z[0]" : "z0 = $z[0], z1 = $z[1]";
134 print "# '$try' expected: '$expected' got: '$got' for $args\n";
163 [2,2*pi/3]:(1,0):[2,2*pi/3]
175 [4,pi]:[2,pi/2]:[2,pi/2]
176 [2,pi/2]:[4,pi]:[0.5,-(pi)/2]
230 [6, -2*pi/3]:"[6,-2pi/3]"
231 [0.5, -9*pi/11]:"[0.5,-9pi/11]"
233 { (4,3); [3,2]; (-3,4); (0,2); [2,1] }
236 |'z - ~z':'2*i*Im(z)'
237 |'z * ~z':'abs(z) * abs(z)'
239 { (2,3); [3,2]; (-3,2); (0,2); 3; 1.2; -3; (-3, 0); (-2, -1); [2,1] }
241 |'(root(z, 4))[1] ** 4':'z'
242 |'(root(z, 5))[3] ** 5':'z'
243 |'(root(z, 8))[7] ** 8':'z'
245 |'acot(z)':'acotan(z)'
246 |'acsc(z)':'acosec(z)'
247 |'acsc(z)':'asin(1 / z)'
248 |'asec(z)':'acos(1 / z)'
249 |'cbrt(z)':'cbrt(r) * exp(i * t/3)'
251 |'cos(z) ** 2 + sin(z) ** 2':1
252 |'cos(z)':'cosh(i*z)'
253 |'cosh(z) ** 2 - sinh(z) ** 2':1
255 |'cot(z)':'1 / tan(z)'
258 |'csc(z)':'1 / sin(z)'
261 |'exp(z)':'exp(a) * exp(i * b)'
264 |'log(z)':'log(r) + i*t'
265 |'log10(z)':'log(z) / log(10)'
266 |'logn(z, 2)':'log(z) / log(2)'
267 |'logn(z, 3)':'log(z) / log(3)'
269 |'sec(z)':'1 / cos(z)'
271 |'sin(i * z)':'i * sinh(z)'
272 |'sqrt(z) * sqrt(z)':'z'
273 |'sqrt(z)':'sqrt(r) * exp(i * t/2)'
275 |'z**z':'exp(z * log(z))'
277 { (1,1); [1,0.5]; (-2, -1); 2; -3; (-1,0.5); (0,0.5); 0.5; (2, 0); (-1, -2) }
279 |'cosh(acosh(z))':'z'
280 |'coth(acoth(z))':'z'
281 |'coth(z)':'1 / tanh(z)'
282 |'coth(z)':'cotanh(z)'
283 |'csch(acsch(z))':'z'
284 |'csch(z)':'1 / sinh(z)'
285 |'csch(z)':'cosech(z)'
286 |'sech(asech(z))':'z'
287 |'sech(z)':'1 / cosh(z)'
288 |'sinh(asinh(z))':'z'
289 |'tanh(atanh(z))':'z'
291 { (0.2,-0.4); [1,0.5]; -1.2; (-1,0.5); 0.5; (1.1, 0) }
293 |'acos(cos(z)) ** 2':'z * z'
294 |'acosh(cosh(z)) ** 2':'z * z'
295 |'acoth(z)':'acotanh(z)'
296 |'acoth(z)':'atanh(1 / z)'
297 |'acsch(z)':'acosech(z)'
298 |'acsch(z)':'asinh(1 / z)'
299 |'asech(z)':'acosh(1 / z)'
301 |'asinh(sinh(z))':'z'
303 |'atanh(tanh(z))':'z'
306 ( 2, 3):( 9.15449914691143, -4.16890695996656)
307 (-2, 3):( -9.15449914691143, -4.16890695996656)
308 (-2,-3):( -9.15449914691143, 4.16890695996656)
309 ( 2,-3):( 9.15449914691143, 4.16890695996656)
312 ( 2, 3):( -4.18962569096881, -9.10922789375534)
313 (-2, 3):( -4.18962569096881, 9.10922789375534)
314 (-2,-3):( -4.18962569096881, -9.10922789375534)
315 ( 2,-3):( -4.18962569096881, 9.10922789375534)
318 ( 2, 3):( -0.00376402564150, 1.00323862735361)
319 (-2, 3):( 0.00376402564150, 1.00323862735361)
320 (-2,-3):( 0.00376402564150, -1.00323862735361)
321 ( 2,-3):( -0.00376402564150, -1.00323862735361)
324 ( 2, 3):( -0.04167496441114, 0.09061113719624)
325 (-2, 3):( -0.04167496441114, -0.09061113719624)
326 (-2,-3):( -0.04167496441114, 0.09061113719624)
327 ( 2,-3):( -0.04167496441114, -0.09061113719624)
330 ( 2, 3):( 0.09047320975321, 0.04120098628857)
331 (-2, 3):( -0.09047320975321, 0.04120098628857)
332 (-2,-3):( -0.09047320975321, -0.04120098628857)
333 ( 2,-3):( 0.09047320975321, -0.04120098628857)
336 ( 2, 3):( -0.00373971037634, -0.99675779656936)
337 (-2, 3):( 0.00373971037634, -0.99675779656936)
338 (-2,-3):( 0.00373971037634, 0.99675779656936)
339 ( 2,-3):( -0.00373971037634, 0.99675779656936)
342 ( 2, 3):( 0.57065278432110, 1.98338702991654)
343 (-2, 3):( -0.57065278432110, 1.98338702991654)
344 (-2,-3):( -0.57065278432110, -1.98338702991654)
345 ( 2,-3):( 0.57065278432110, -1.98338702991654)
348 ( 2, 3):( 1.00014354247380, -1.98338702991654)
349 (-2, 3):( 2.14144911111600, -1.98338702991654)
350 (-2,-3):( 2.14144911111600, 1.98338702991654)
351 ( 2,-3):( 1.00014354247380, 1.98338702991654)
354 ( 2, 3):( 1.40992104959658, 0.22907268296854)
355 (-2, 3):( -1.40992104959658, 0.22907268296854)
356 (-2,-3):( -1.40992104959658, -0.22907268296854)
357 ( 2,-3):( 1.40992104959658, -0.22907268296854)
360 ( 2, 3):( 1.42041072246703, 0.23133469857397)
361 (-2, 3):( 1.72118193112276, 0.23133469857397)
362 (-2,-3):( 1.72118193112276, -0.23133469857397)
363 ( 2,-3):( 1.42041072246703, -0.23133469857397)
366 ( 2, 3):( 0.15038560432786, -0.23133469857397)
367 (-2, 3):( -0.15038560432786, -0.23133469857397)
368 (-2,-3):( -0.15038560432786, 0.23133469857397)
369 ( 2,-3):( 0.15038560432786, 0.23133469857397)
372 ( 2, 3):( 0.16087527719832, -0.22907268296854)
373 (-2, 3):( -0.16087527719832, -0.22907268296854)
374 (-2,-3):( -0.16087527719832, 0.22907268296854)
375 ( 2,-3):( 0.16087527719832, 0.22907268296854)
378 ( 2, 3):( -3.59056458998578, 0.53092108624852)
379 (-2, 3):( 3.59056458998578, 0.53092108624852)
380 (-2,-3):( 3.59056458998578, -0.53092108624852)
381 ( 2,-3):( -3.59056458998578, -0.53092108624852)
384 ( 2, 3):( -3.72454550491532, 0.51182256998738)
385 (-2, 3):( -3.72454550491532, -0.51182256998738)
386 (-2,-3):( -3.72454550491532, 0.51182256998738)
387 ( 2,-3):( -3.72454550491532, -0.51182256998738)
390 ( 2, 3):( 0.96538587902213, -0.00988437503832)
391 (-2, 3):( -0.96538587902213, -0.00988437503832)
392 (-2,-3):( -0.96538587902213, 0.00988437503832)
393 ( 2,-3):( 0.96538587902213, 0.00988437503832)
396 ( 2, 3):( -0.26351297515839, -0.03621163655877)
397 (-2, 3):( -0.26351297515839, 0.03621163655877)
398 (-2,-3):( -0.26351297515839, -0.03621163655877)
399 ( 2,-3):( -0.26351297515839, 0.03621163655877)
402 ( 2, 3):( -0.27254866146294, -0.04030057885689)
403 (-2, 3):( 0.27254866146294, -0.04030057885689)
404 (-2,-3):( 0.27254866146294, 0.04030057885689)
405 ( 2,-3):( -0.27254866146294, 0.04030057885689)
408 ( 2, 3):( 1.03574663776500, 0.01060478347034)
409 (-2, 3):( -1.03574663776500, 0.01060478347034)
410 (-2,-3):( -1.03574663776500, -0.01060478347034)
411 ( 2,-3):( 1.03574663776500, -0.01060478347034)
414 ( 2, 3):( 1.96863792579310, 0.96465850440760)
415 (-2, 3):( -1.96863792579310, 0.96465850440761)
416 (-2,-3):( -1.96863792579310, -0.96465850440761)
417 ( 2,-3):( 1.96863792579310, -0.96465850440760)
420 ( 2, 3):( 1.98338702991654, 1.00014354247380)
421 (-2, 3):( -1.98338702991653, -2.14144911111600)
422 (-2,-3):( -1.98338702991653, 2.14144911111600)
423 ( 2,-3):( 1.98338702991654, -1.00014354247380)
426 ( 2, 3):( 0.14694666622553, 1.33897252229449)
427 (-2, 3):( -0.14694666622553, 1.33897252229449)
428 (-2,-3):( -0.14694666622553, -1.33897252229449)
429 ( 2,-3):( 0.14694666622553, -1.33897252229449)
432 ( 2, 3):( 0.23133469857397, -1.42041072246703)
433 (-2, 3):( -0.23133469857397, 1.72118193112276)
434 (-2,-3):( -0.23133469857397, -1.72118193112276)
435 ( 2,-3):( 0.23133469857397, 1.42041072246703)
438 ( 2, 3):( 0.15735549884499, -0.22996290237721)
439 (-2, 3):( -0.15735549884499, -0.22996290237721)
440 (-2,-3):( -0.15735549884499, 0.22996290237721)
441 ( 2,-3):( 0.15735549884499, 0.22996290237721)
444 ( 2, 3):( 0.14694666622553, -0.23182380450040)
445 (-2, 3):( -0.14694666622553, -0.23182380450040)
446 (-2,-3):( -0.14694666622553, 0.23182380450040)
447 ( 2,-3):( 0.14694666622553, 0.23182380450040)