# $RCSfile$
#
-# Regression tests for the new Math::Complex pacakge
-# -- Raphael Manfredi, Sept 1996
+# Regression tests for the Math::Complex pacakge
+# -- Raphael Manfredi, September 1996
+# -- Jarkko Hietaniemi, March-April 1997
+
BEGIN {
chdir 't' if -d 't';
@INC = '../lib';
}
+
use Math::Complex;
$test = 0;
$| = 1;
-$script = '';
-$epsilon = 1e-10;
+@script = ();
+my $eps = 1e-11;
while (<DATA>) {
- next if /^#/ || /^\s*$/;
- chop;
- $set_test = 0; # Assume not a test over a set of values
+ s/^\s+//;
+ next if $_ eq '' || /^\#/;
+ chomp;
+ $test_set = 0; # Assume not a test over a set of values
if (/^&(.*)/) {
$op = $1;
next;
next;
}
elsif (s/^\|//) {
- $set_test = 1; # Requests we loop over the set...
+ $test_set = 1; # Requests we loop over the set...
}
my @args = split(/:/);
- if ($set_test) {
+ if ($test_set == 1) {
my $i;
for ($i = 0; $i < @set; $i++) {
- $target = $set[$i]; # complex number
- $zvalue = $val[$i]; # textual value as found in set definition
+ # complex number
+ $target = $set[$i];
+ # textual value as found in set definition
+ $zvalue = $val[$i];
test($zvalue, $target, @args);
}
} else {
}
}
+# test the divbyzeros
+
+test_dbz(
+ 'i/0',
+# 'tan(pi/2)', # may succeed thanks to floating point inaccuracies
+# 'sec(pi/2)', # may succeed thanks to floating point inaccuracies
+ 'csc(0)',
+ 'cot(0)',
+ 'atan(i)',
+ 'asec(0)',
+ 'acsc(0)',
+ 'acot(i)',
+# 'tanh(pi/2)', # may succeed thanks to floating point inaccuracies
+# 'sech(pi/2)', # may succeed thanks to floating point inaccuracies
+ 'csch(0)',
+ 'coth(0)',
+ 'atanh(1)',
+ 'asech(0)',
+ 'acsch(0)',
+ 'acoth(1)'
+ );
+
+sub test_dbz {
+ for my $op (@_) {
+ $test++;
+
+ push(@script, qq(eval '$op';));
+ push(@script, qq(print 'not ' unless (\$@ =~ /Division by zero/);));
+ push(@script, qq(print "ok $test\n";));
+ }
+}
+
print "1..$test\n";
-eval $script;
+eval join '', @script;
die $@ if $@;
sub test {
my $i;
for ($i = 0; $i < @args; $i++) {
$val = value($args[$i]);
- $script .= "\$z$i = $val;\n";
+ push @script, "\$z$i = $val;\n";
}
if (defined $z) {
$args = "'$op'"; # Really the value
- $try = "abs(\$z0 - \$z1) <= 1e-10 ? \$z1 : \$z0";
- $script .= "\$res = $try; ";
- $script .= "check($test, $args[0], \$res, \$z$#args, $args);\n";
+ $try = "abs(\$z0 - \$z1) <= $eps ? \$z1 : \$z0";
+ push @script, "\$res = $try; ";
+ push @script, "check($test, $args[0], \$res, \$z$#args, $args);\n";
} else {
my ($try, $args);
if (@args == 2) {
$try = ($op =~ /^\w/) ? "$op(\$z0, \$z1)" : "\$z0 $op \$z1";
$args = "'$args[0]', '$args[1]'";
}
- $script .= "\$res = $try; ";
- $script .= "check($test, '$try', \$res, \$z$#args, $args);\n";
+ push @script, "\$res = $try; ";
+ push @script, "check($test, '$try', \$res, \$z$#args, $args);\n";
}
}
for ($i = 0; $i < @set; $i++) {
push(@{$valref}, $set[$i]);
my $val = value($set[$i]);
- $script .= "\$s$i = $val;\n";
- push(@{$setref}, "\$s$i");
+ push @script, "\$s$i = $val;\n";
+ push @{$setref}, "\$s$i";
}
}
sub check {
my ($test, $try, $got, $expected, @z) = @_;
- if ("$got" eq "$expected" || ($expected =~ /^-?\d/ && $got == $expected)) {
+
+# print "# @_\n";
+
+ if ("$got" eq "$expected"
+ ||
+ ($expected =~ /^-?\d/ && $got == $expected)
+ ||
+ (abs($got - $expected) < $eps)
+ ) {
print "ok $test\n";
} else {
print "not ok $test\n";
[4,pi]:[2,pi/2]:[2,pi/2]
[2,pi/2]:[4,pi]:[0.5,-(pi)/2]
+&Re
+(3,4):3
+(-3,4):-3
+[1,pi/2]:0
+
+&Im
+(3,4):4
+(3,-4):-4
+[1,pi/2]:1
+
&abs
(3,4):5
(-3,4):5
+&arg
+[2,0]:0
+[-2,0]:pi
+
&~
(4,5):(4,-5)
(-3,4):(-3,-4)
(3,4):(3,4):1
&sqrt
+-9:(0,3)
(-100,0):(0,10)
(16,-30):(5,-3)
|'z - ~z':'2*i*Im(z)'
|'z * ~z':'abs(z) * abs(z)'
-{ (4,3); [3,2]; (-3,4); (0,2); 3; 1; (-5, 0); [2,1] }
+{ (2,3); [3,2]; (-3,2); (0,2); 3; 1.2; -3; (-3, 0); (-2, -1); [2,1] }
-|'exp(z)':'exp(a) * exp(i * b)'
+|'(root(z, 4))[1] ** 4':'z'
+|'(root(z, 5))[3] ** 5':'z'
+|'(root(z, 8))[7] ** 8':'z'
|'abs(z)':'r'
-|'sqrt(z) * sqrt(z)':'z'
-|'sqrt(z)':'sqrt(r) * exp(i * t/2)'
+|'acot(z)':'acotan(z)'
+|'acsc(z)':'acosec(z)'
+|'acsc(z)':'asin(1 / z)'
+|'asec(z)':'acos(1 / z)'
|'cbrt(z)':'cbrt(r) * exp(i * t/3)'
-|'log(z)':'log(r) + i*t'
-|'sin(asin(z))':'z'
|'cos(acos(z))':'z'
-|'tan(atan(z))':'z'
-|'cotan(acotan(z))':'z'
|'cos(z) ** 2 + sin(z) ** 2':1
-|'cosh(z) ** 2 - sinh(z) ** 2':1
|'cos(z)':'cosh(i*z)'
-|'cotan(z)':'1 / tan(z)'
-|'cotanh(z)':'1 / tanh(z)'
-|'i*sin(z)':'sinh(i*z)'
-|'z**z':'exp(z * log(z))'
-|'log(exp(z))':'z'
+|'cosh(z) ** 2 - sinh(z) ** 2':1
+|'cot(acot(z))':'z'
+|'cot(z)':'1 / tan(z)'
+|'cot(z)':'cotan(z)'
+|'csc(acsc(z))':'z'
+|'csc(z)':'1 / sin(z)'
+|'csc(z)':'cosec(z)'
|'exp(log(z))':'z'
+|'exp(z)':'exp(a) * exp(i * b)'
+|'ln(z)':'log(z)'
+|'log(exp(z))':'z'
+|'log(z)':'log(r) + i*t'
|'log10(z)':'log(z) / log(10)'
-|'logn(z, 3)':'log(z) / log(3)'
|'logn(z, 2)':'log(z) / log(2)'
-|'(root(z, 4))[1] ** 4':'z'
-|'(root(z, 8))[7] ** 8':'z'
+|'logn(z, 3)':'log(z) / log(3)'
+|'sec(asec(z))':'z'
+|'sec(z)':'1 / cos(z)'
+|'sin(asin(z))':'z'
+|'sin(i * z)':'i * sinh(z)'
+|'sqrt(z) * sqrt(z)':'z'
+|'sqrt(z)':'sqrt(r) * exp(i * t/2)'
+|'tan(atan(z))':'z'
+|'z**z':'exp(z * log(z))'
-{ (1,1); [1,0.5]; (-2, -1); 2; (-1,0.5); (0,0.5); 0.5; (2, 0) }
+{ (1,1); [1,0.5]; (-2, -1); 2; -3; (-1,0.5); (0,0.5); 0.5; (2, 0); (-1, -2) }
-|'sinh(asinh(z))':'z'
|'cosh(acosh(z))':'z'
+|'coth(acoth(z))':'z'
+|'coth(z)':'1 / tanh(z)'
+|'coth(z)':'cotanh(z)'
+|'csch(acsch(z))':'z'
+|'csch(z)':'1 / sinh(z)'
+|'csch(z)':'cosech(z)'
+|'sech(asech(z))':'z'
+|'sech(z)':'1 / cosh(z)'
+|'sinh(asinh(z))':'z'
|'tanh(atanh(z))':'z'
-|'cotanh(acotanh(z))':'z'
-{ (0.2,-0.4); [1,0.5]; -1.2; (-1,0.5); (0,-0.5); 0.5; (1.1, 0) }
+{ (0.2,-0.4); [1,0.5]; -1.2; (-1,0.5); 0.5; (1.1, 0) }
-|'asin(sin(z))':'z'
|'acos(cos(z)) ** 2':'z * z'
-|'atan(tan(z))':'z'
-|'asinh(sinh(z))':'z'
|'acosh(cosh(z)) ** 2':'z * z'
+|'acoth(z)':'acotanh(z)'
+|'acoth(z)':'atanh(1 / z)'
+|'acsch(z)':'acosech(z)'
+|'acsch(z)':'asinh(1 / z)'
+|'asech(z)':'acosh(1 / z)'
+|'asin(sin(z))':'z'
+|'asinh(sinh(z))':'z'
+|'atan(tan(z))':'z'
|'atanh(tanh(z))':'z'
+&sin
+( 2, 3):( 9.15449914691143, -4.16890695996656)
+(-2, 3):( -9.15449914691143, -4.16890695996656)
+(-2,-3):( -9.15449914691143, 4.16890695996656)
+( 2,-3):( 9.15449914691143, 4.16890695996656)
+
+&cos
+( 2, 3):( -4.18962569096881, -9.10922789375534)
+(-2, 3):( -4.18962569096881, 9.10922789375534)
+(-2,-3):( -4.18962569096881, -9.10922789375534)
+( 2,-3):( -4.18962569096881, 9.10922789375534)
+
+&tan
+( 2, 3):( -0.00376402564150, 1.00323862735361)
+(-2, 3):( 0.00376402564150, 1.00323862735361)
+(-2,-3):( 0.00376402564150, -1.00323862735361)
+( 2,-3):( -0.00376402564150, -1.00323862735361)
+
+&sec
+( 2, 3):( -0.04167496441114, 0.09061113719624)
+(-2, 3):( -0.04167496441114, -0.09061113719624)
+(-2,-3):( -0.04167496441114, 0.09061113719624)
+( 2,-3):( -0.04167496441114, -0.09061113719624)
+
+&csc
+( 2, 3):( 0.09047320975321, 0.04120098628857)
+(-2, 3):( -0.09047320975321, 0.04120098628857)
+(-2,-3):( -0.09047320975321, -0.04120098628857)
+( 2,-3):( 0.09047320975321, -0.04120098628857)
+
+&cot
+( 2, 3):( -0.00373971037634, -0.99675779656936)
+(-2, 3):( 0.00373971037634, -0.99675779656936)
+(-2,-3):( 0.00373971037634, 0.99675779656936)
+( 2,-3):( -0.00373971037634, 0.99675779656936)
+
+&asin
+( 2, 3):( 0.57065278432110, 1.98338702991654)
+(-2, 3):( -0.57065278432110, 1.98338702991654)
+(-2,-3):( -0.57065278432110, -1.98338702991654)
+( 2,-3):( 0.57065278432110, -1.98338702991654)
+
+&acos
+( 2, 3):( 1.00014354247380, -1.98338702991654)
+(-2, 3):( 2.14144911111600, -1.98338702991654)
+(-2,-3):( 2.14144911111600, 1.98338702991654)
+( 2,-3):( 1.00014354247380, 1.98338702991654)
+
+&atan
+( 2, 3):( 1.40992104959658, 0.22907268296854)
+(-2, 3):( -1.40992104959658, 0.22907268296854)
+(-2,-3):( -1.40992104959658, -0.22907268296854)
+( 2,-3):( 1.40992104959658, -0.22907268296854)
+
+&asec
+( 2, 3):( 1.42041072246703, 0.23133469857397)
+(-2, 3):( 1.72118193112276, 0.23133469857397)
+(-2,-3):( 1.72118193112276, -0.23133469857397)
+( 2,-3):( 1.42041072246703, -0.23133469857397)
+
+&acsc
+( 2, 3):( 0.15038560432786, -0.23133469857397)
+(-2, 3):( -0.15038560432786, -0.23133469857397)
+(-2,-3):( -0.15038560432786, 0.23133469857397)
+( 2,-3):( 0.15038560432786, 0.23133469857397)
+
+&acot
+( 2, 3):( 0.16087527719832, -0.22907268296854)
+(-2, 3):( -0.16087527719832, -0.22907268296854)
+(-2,-3):( -0.16087527719832, 0.22907268296854)
+( 2,-3):( 0.16087527719832, 0.22907268296854)
+
+&sinh
+( 2, 3):( -3.59056458998578, 0.53092108624852)
+(-2, 3):( 3.59056458998578, 0.53092108624852)
+(-2,-3):( 3.59056458998578, -0.53092108624852)
+( 2,-3):( -3.59056458998578, -0.53092108624852)
+
+&cosh
+( 2, 3):( -3.72454550491532, 0.51182256998738)
+(-2, 3):( -3.72454550491532, -0.51182256998738)
+(-2,-3):( -3.72454550491532, 0.51182256998738)
+( 2,-3):( -3.72454550491532, -0.51182256998738)
+
+&tanh
+( 2, 3):( 0.96538587902213, -0.00988437503832)
+(-2, 3):( -0.96538587902213, -0.00988437503832)
+(-2,-3):( -0.96538587902213, 0.00988437503832)
+( 2,-3):( 0.96538587902213, 0.00988437503832)
+
+&sech
+( 2, 3):( -0.26351297515839, -0.03621163655877)
+(-2, 3):( -0.26351297515839, 0.03621163655877)
+(-2,-3):( -0.26351297515839, -0.03621163655877)
+( 2,-3):( -0.26351297515839, 0.03621163655877)
+
+&csch
+( 2, 3):( -0.27254866146294, -0.04030057885689)
+(-2, 3):( 0.27254866146294, -0.04030057885689)
+(-2,-3):( 0.27254866146294, 0.04030057885689)
+( 2,-3):( -0.27254866146294, 0.04030057885689)
+
+&coth
+( 2, 3):( 1.03574663776500, 0.01060478347034)
+(-2, 3):( -1.03574663776500, 0.01060478347034)
+(-2,-3):( -1.03574663776500, -0.01060478347034)
+( 2,-3):( 1.03574663776500, -0.01060478347034)
+
+&asinh
+( 2, 3):( 1.96863792579310, 0.96465850440760)
+(-2, 3):( -1.96863792579310, 0.96465850440761)
+(-2,-3):( -1.96863792579310, -0.96465850440761)
+( 2,-3):( 1.96863792579310, -0.96465850440760)
+
+&acosh
+( 2, 3):( 1.98338702991654, 1.00014354247380)
+(-2, 3):( -1.98338702991653, -2.14144911111600)
+(-2,-3):( -1.98338702991653, 2.14144911111600)
+( 2,-3):( 1.98338702991654, -1.00014354247380)
+
+&atanh
+( 2, 3):( 0.14694666622553, 1.33897252229449)
+(-2, 3):( -0.14694666622553, 1.33897252229449)
+(-2,-3):( -0.14694666622553, -1.33897252229449)
+( 2,-3):( 0.14694666622553, -1.33897252229449)
+
+&asech
+( 2, 3):( 0.23133469857397, -1.42041072246703)
+(-2, 3):( -0.23133469857397, 1.72118193112276)
+(-2,-3):( -0.23133469857397, -1.72118193112276)
+( 2,-3):( 0.23133469857397, 1.42041072246703)
+
+&acsch
+( 2, 3):( 0.15735549884499, -0.22996290237721)
+(-2, 3):( -0.15735549884499, -0.22996290237721)
+(-2,-3):( -0.15735549884499, 0.22996290237721)
+( 2,-3):( 0.15735549884499, 0.22996290237721)
+
+&acoth
+( 2, 3):( 0.14694666622553, -0.23182380450040)
+(-2, 3):( -0.14694666622553, -0.23182380450040)
+(-2,-3):( -0.14694666622553, 0.23182380450040)
+( 2,-3):( 0.14694666622553, 0.23182380450040)
+
+# eof
projects / p5sagit/p5-mst-13.2.git / blobdiff