1#!/usr/bin/perl -w 2 3# Test blog function (and bpow, since it uses blog). 4 5# It is too slow to be simple included in bigfltpm.inc, where it would get 6# executed 3 times. One time would be under BareCalc, which shouldn't make any 7# difference since there is no CALC->_log() function, and one time under a 8# subclass, which *should* work. 9 10# But it is better to test the numerical functionality, instead of not testing 11# it at all (which did lead to wrong answers for 0 < $x < 1 in blog() in 12# versions up to v1.63, and for bsqrt($x) when $x << 1 for instance). 13 14use Test; 15use strict; 16 17BEGIN 18 { 19 $| = 1; 20 # to locate the testing files 21 my $location = $0; $location =~ s/biglog.t//i; 22 if ($ENV{PERL_CORE}) 23 { 24 # testing with the core distribution 25 @INC = qw(../lib); 26 } 27 unshift @INC, '../lib'; 28 if (-d 't') 29 { 30 chdir 't'; 31 require File::Spec; 32 unshift @INC, File::Spec->catdir(File::Spec->updir, $location); 33 } 34 else 35 { 36 unshift @INC, $location; 37 } 38 print "# INC = @INC\n"; 39 40 plan tests => 53; 41 } 42 43use Math::BigFloat; 44use Math::BigInt; 45 46my $cl = "Math::BigFloat"; 47 48# These tests are now really fast, since they collapse to blog(10), basically 49# Don't attempt to run them with older versions. You are warned. 50 51# $x < 0 => NaN 52ok ($cl->new(-2)->blog(), 'NaN'); 53ok ($cl->new(-1)->blog(), 'NaN'); 54ok ($cl->new(-10)->blog(), 'NaN'); 55ok ($cl->new(-2,2)->blog(), 'NaN'); 56 57my $ten = $cl->new(10)->blog(); 58 59# 10 is cached (up to 75 digits) 60ok ($cl->new(10)->blog(), '2.302585092994045684017991454684364207601'); 61 62# 0.1 is using the cached value for log(10), too 63 64ok ($cl->new(0.1)->blog(), -$ten); 65ok ($cl->new(0.01)->blog(), -$ten * 2); 66ok ($cl->new(0.001)->blog(), -$ten * 3); 67ok ($cl->new(0.0001)->blog(), -$ten * 4); 68 69# also cached 70ok ($cl->new(2)->blog(), '0.6931471805599453094172321214581765680755'); 71ok ($cl->new(4)->blog(), $cl->new(2)->blog * 2); 72 73# These are still slow, so do them only to 10 digits 74 75ok ($cl->new('0.2')->blog(undef,10), '-1.609437912'); 76ok ($cl->new('0.3')->blog(undef,10), '-1.203972804'); 77ok ($cl->new('0.4')->blog(undef,10), '-0.9162907319'); 78ok ($cl->new('0.5')->blog(undef,10), '-0.6931471806'); 79ok ($cl->new('0.6')->blog(undef,10), '-0.5108256238'); 80ok ($cl->new('0.7')->blog(undef,10), '-0.3566749439'); 81ok ($cl->new('0.8')->blog(undef,10), '-0.2231435513'); 82ok ($cl->new('0.9')->blog(undef,10), '-0.1053605157'); 83 84ok ($cl->new('9')->blog(undef,10), '2.197224577'); 85 86ok ($cl->new('10')->blog(10,10), '1.000000000'); 87ok ($cl->new('20')->blog(20,10), '1.000000000'); 88ok ($cl->new('100')->blog(100,10), '1.000000000'); 89 90ok ($cl->new('100')->blog(10,10), '2.000000000'); # 10 ** 2 == 100 91ok ($cl->new('400')->blog(20,10), '2.000000000'); # 20 ** 2 == 400 92 93ok ($cl->new('4')->blog(2,10), '2.000000000'); # 2 ** 2 == 4 94ok ($cl->new('16')->blog(2,10), '4.000000000'); # 2 ** 4 == 16 95 96ok ($cl->new('1.2')->bpow('0.3',10), '1.056219968'); 97ok ($cl->new('10')->bpow('0.6',10), '3.981071706'); 98 99# blog should handle bigint input 100ok (Math::BigFloat::blog(Math::BigInt->new(100),10), 2); 101 102# some integer results 103ok ($cl->new(2)->bpow(32)->blog(2), '32'); # 2 ** 32 104ok ($cl->new(3)->bpow(32)->blog(3), '32'); # 3 ** 32 105ok ($cl->new(2)->bpow(65)->blog(2), '65'); # 2 ** 65 106 107# test for bug in bsqrt() not taking negative _e into account 108test_bpow ('200','0.5',10, '14.14213562'); 109test_bpow ('20','0.5',10, '4.472135955'); 110test_bpow ('2','0.5',10, '1.414213562'); 111test_bpow ('0.2','0.5',10, '0.4472135955'); 112test_bpow ('0.02','0.5',10, '0.1414213562'); 113test_bpow ('0.49','0.5',undef , '0.7'); 114test_bpow ('0.49','0.5',10 , '0.7000000000'); 115test_bpow ('0.002','0.5',10, '0.04472135955'); 116test_bpow ('0.0002','0.5',10, '0.01414213562'); 117test_bpow ('0.0049','0.5',undef,'0.07'); 118test_bpow ('0.0049','0.5',10 , '0.07000000000'); 119test_bpow ('0.000002','0.5',10, '0.001414213562'); 120test_bpow ('0.021','0.5',10, '0.1449137675'); 121test_bpow ('1.2','0.5',10, '1.095445115'); 122test_bpow ('1.23','0.5',10, '1.109053651'); 123test_bpow ('12.3','0.5',10, '3.507135583'); 124 125test_bpow ('9.9','0.5',10, '3.146426545'); 126test_bpow ('9.86902225','0.5',10, '3.141500000'); 127test_bpow ('9.86902225','0.5',undef, '3.1415'); 128 129test_bpow ('0.2','0.41',10, '0.5169187652'); 130 131sub test_bpow 132 { 133 my ($x,$y,$scale,$result) = @_; 134 135 print "# Tried: $x->bpow($y,$scale);\n" 136 unless ok ($cl->new($x)->bpow($y,$scale),$result); 137 } 138 139