From dded8ef3520bdddc637bd3872ee3092a08efdb9c Mon Sep 17 00:00:00 2001 From: Ben Pfaff Date: Tue, 4 Jul 2006 04:17:50 +0000 Subject: [PATCH] Modify the random distributions test to verify to 2 more decimal places of accuracy, but to allow +/- 1 units in the last (tested) place. This allows the test to pass on machines or with compilers whose calculated values are off by epsilon from the expected results. Because of the way the test is constructed, this was quite common and often caused gratuitous test failures. This is patch #5215, tested by Jason Stover and John Darrington. --- tests/ChangeLog | 21 + tests/expressions/randist.sh | 4 +- tests/expressions/randist/beta.out | 463 ++++----- tests/expressions/randist/cauchy.out | 1211 ++++++++++++------------ tests/expressions/randist/chisq.out | 89 +- tests/expressions/randist/compare.pl | 53 ++ tests/expressions/randist/exp.out | 89 +- tests/expressions/randist/f.out | 353 +++---- tests/expressions/randist/gamma.out | 441 ++++----- tests/expressions/randist/laplace.out | 441 ++++----- tests/expressions/randist/lnormal.out | 353 +++---- tests/expressions/randist/logistic.out | 441 ++++----- tests/expressions/randist/normal.out | 441 ++++----- tests/expressions/randist/pareto.out | 265 +++--- tests/expressions/randist/randist.pl | 20 +- tests/expressions/randist/t.out | 177 ++-- tests/expressions/randist/uniform.out | 353 +++---- tests/expressions/randist/weibull.out | 353 +++---- 18 files changed, 2837 insertions(+), 2731 deletions(-) create mode 100755 tests/expressions/randist/compare.pl diff --git a/tests/ChangeLog b/tests/ChangeLog index 6777478b..369c08a3 100644 --- a/tests/ChangeLog +++ b/tests/ChangeLog @@ -1,3 +1,24 @@ +Mon Jul 3 21:09:52 2006 Ben Pfaff + + Modify the random distributions test to verify to 2 more decimal + places of accuracy, but to allow +/- 1 units in the last (tested) + place. This allows the test to pass on machines or with compilers + whose calculated values are off by epsilon from the expected + results. Because of the way the test is constructed, this was + quite common and often caused gratuitous test failures. + + This is patch #5215, tested by Jason Stover and John Darrington. + + * expressions/randist.sh: Use compare.pl to do comparisons. + + * expressions/randist/compare.pl: New script to do comparisons. + + * expressions/randist/randist.pl: Print output to 4 decimal + places, not just 2. Also, print a brief explanatory header at the + top of each output file. + + * expressions/randist/*.out: Replace with new expected output. + Sat Jul 1 15:33:37 2006 Ben Pfaff * automake.mk: Add ll-test, llx-test to TESTS. diff --git a/tests/expressions/randist.sh b/tests/expressions/randist.sh index b1c9f440..adfdb006 100755 --- a/tests/expressions/randist.sh +++ b/tests/expressions/randist.sh @@ -67,8 +67,8 @@ if [ $? -ne 0 ] ; then fail ; fi for d in beta cauchy chisq exp f gamma laplace logistic lnormal \ normal pareto t uniform weibull; do activity="compare output for $d distribution" - perl -pi -e 's/^\s*$//g' $top_srcdir/tests/expressions/randist/$d.out $TEMPDIR/$d.out - diff -b $top_srcdir/tests/expressions/randist/$d.out $TEMPDIR/$d.out + perl $top_srcdir/tests/expressions/randist/compare.pl \ + $top_srcdir/tests/expressions/randist/$d.out $TEMPDIR/$d.out if [ $? -ne 0 ] ; then fail ; fi done diff --git a/tests/expressions/randist/beta.out b/tests/expressions/randist/beta.out index ea138295..f5a2d57c 100644 --- a/tests/expressions/randist/beta.out +++ b/tests/expressions/randist/beta.out @@ -1,231 +1,232 @@ - .01 .75 .25 .01 .01 .71 - .01 .75 .50 .00 .01 1.60 - .01 .75 1.00 .00 .01 3.48 - .01 .75 1.50 .00 .01 5.40 - .01 .75 2.00 .00 .01 7.33 - .01 .75 2.50 .00 .01 9.27 - .01 .75 3.00 .00 .01 11.21 - .01 1.00 .25 .04 .01 .26 - .01 1.00 .50 .02 .01 .51 - .01 1.00 1.00 .01 .01 1.00 - .01 1.00 1.50 .01 .01 1.49 - .01 1.00 2.00 .01 .01 1.99 - .01 1.00 2.50 .00 .01 2.48 - .01 1.00 3.00 .00 .01 2.98 - .01 1.50 .25 .13 .01 .12 - .01 1.50 .50 .08 .01 .19 - .01 1.50 1.00 .05 .01 .32 - .01 1.50 1.50 .03 .01 .45 - .01 1.50 2.00 .03 .01 .58 - .01 1.50 2.50 .02 .01 .71 - .01 1.50 3.00 .02 .01 .84 - .10 .75 .25 .21 .10 .40 - .10 .75 .50 .10 .10 .78 - .10 .75 1.00 .05 .10 1.62 - .10 .75 1.50 .03 .10 2.47 - .10 .75 2.00 .02 .10 3.32 - .10 .75 2.50 .02 .10 4.18 - .10 .75 3.00 .01 .10 5.04 - .10 1.00 .25 .34 .10 .34 - .10 1.00 .50 .19 .10 .56 - .10 1.00 1.00 .10 .10 1.00 - .10 1.00 1.50 .07 .10 1.45 - .10 1.00 2.00 .05 .10 1.90 - .10 1.00 2.50 .04 .10 2.35 - .10 1.00 3.00 .03 .10 2.80 - .10 1.50 .25 .53 .10 .37 - .10 1.50 .50 .35 .10 .47 - .10 1.50 1.00 .22 .10 .70 - .10 1.50 1.50 .16 .10 .93 - .10 1.50 2.00 .12 .10 1.15 - .10 1.50 2.50 .10 .10 1.38 - .10 1.50 3.00 .09 .10 1.61 - .20 .75 .25 .46 .20 .43 - .20 .75 .50 .24 .20 .68 - .20 .75 1.00 .12 .20 1.28 - .20 .75 1.50 .08 .20 1.90 - .20 .75 2.00 .06 .20 2.53 - .20 .75 2.50 .05 .20 3.16 - .20 .75 3.00 .04 .20 3.79 - .20 1.00 .25 .59 .20 .49 - .20 1.00 .50 .36 .20 .63 - .20 1.00 1.00 .20 .20 1.00 - .20 1.00 1.50 .14 .20 1.39 - .20 1.00 2.00 .11 .20 1.79 - .20 1.00 2.50 .09 .20 2.19 - .20 1.00 3.00 .07 .20 2.59 - .20 1.50 .25 .73 .20 .66 - .20 1.50 .50 .53 .20 .67 - .20 1.50 1.00 .34 .20 .88 - .20 1.50 1.50 .25 .20 1.11 - .20 1.50 2.00 .20 .20 1.35 - .20 1.50 2.50 .17 .20 1.58 - .20 1.50 3.00 .14 .20 1.82 - .30 .75 .25 .66 .30 .56 - .30 .75 .50 .39 .30 .68 - .30 .75 1.00 .20 .30 1.12 - .30 .75 1.50 .13 .30 1.60 - .30 .75 2.00 .10 .30 2.09 - .30 .75 2.50 .08 .30 2.59 - .30 .75 3.00 .07 .30 3.08 - .30 1.00 .25 .76 .30 .73 - .30 1.00 .50 .51 .30 .71 - .30 1.00 1.00 .30 .30 1.00 - .30 1.00 1.50 .21 .30 1.33 - .30 1.00 2.00 .16 .30 1.67 - .30 1.00 2.50 .13 .30 2.02 - .30 1.00 3.00 .11 .30 2.37 - .30 1.50 .25 .85 .30 1.10 - .30 1.50 .50 .66 .30 .88 - .30 1.50 1.00 .45 .30 1.00 - .30 1.50 1.50 .34 .30 1.21 - .30 1.50 2.00 .27 .30 1.43 - .30 1.50 2.50 .23 .30 1.65 - .30 1.50 3.00 .20 .30 1.88 - .40 .75 .25 .81 .40 .83 - .40 .75 .50 .53 .40 .71 - .40 .75 1.00 .29 .40 1.02 - .40 .75 1.50 .20 .40 1.39 - .40 .75 2.00 .15 .40 1.78 - .40 .75 2.50 .12 .40 2.17 - .40 .75 3.00 .10 .40 2.56 - .40 1.00 .25 .87 .40 1.16 - .40 1.00 .50 .64 .40 .83 - .40 1.00 1.00 .40 .40 1.00 - .40 1.00 1.50 .29 .40 1.27 - .40 1.00 2.00 .23 .40 1.55 - .40 1.00 2.50 .18 .40 1.84 - .40 1.00 3.00 .16 .40 2.13 - .40 1.50 .25 .92 .40 1.86 - .40 1.50 .50 .76 .40 1.13 - .40 1.50 1.00 .54 .40 1.11 - .40 1.50 1.50 .42 .40 1.26 - 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1.50 8.6165 .9000 .0203 + .90 5.00 .50 6.5388 .9000 .0608 + .90 5.00 .75 7.3083 .9000 .0405 + .90 5.00 1.00 8.0777 .9000 .0304 + .90 5.00 1.25 8.8471 .9000 .0243 + .90 5.00 1.50 9.6165 .9000 .0203 + .99 -5.00 .50 10.9103 .9900 .0006 + .99 -5.00 .75 18.8654 .9900 .0004 + .99 -5.00 1.00 26.8205 .9900 .0003 + .99 -5.00 1.25 34.7756 .9900 .0003 + .99 -5.00 1.50 42.7308 .9900 .0002 + .99 -4.00 .50 11.9103 .9900 .0006 + .99 -4.00 .75 19.8654 .9900 .0004 + .99 -4.00 1.00 27.8205 .9900 .0003 + .99 -4.00 1.25 35.7756 .9900 .0003 + .99 -4.00 1.50 43.7308 .9900 .0002 + .99 -3.00 .50 12.9103 .9900 .0006 + .99 -3.00 .75 20.8654 .9900 .0004 + .99 -3.00 1.00 28.8205 .9900 .0003 + .99 -3.00 1.25 36.7756 .9900 .0003 + .99 -3.00 1.50 44.7308 .9900 .0002 + .99 -2.00 .50 13.9103 .9900 .0006 + .99 -2.00 .75 21.8654 .9900 .0004 + .99 -2.00 1.00 29.8205 .9900 .0003 + .99 -2.00 1.25 37.7756 .9900 .0003 + .99 -2.00 1.50 45.7308 .9900 .0002 + .99 -1.00 .50 14.9103 .9900 .0006 + .99 -1.00 .75 22.8654 .9900 .0004 + .99 -1.00 1.00 30.8205 .9900 .0003 + .99 -1.00 1.25 38.7756 .9900 .0003 + .99 -1.00 1.50 46.7308 .9900 .0002 + .99 .00 .50 15.9103 .9900 .0006 + .99 .00 .75 23.8654 .9900 .0004 + .99 .00 1.00 31.8205 .9900 .0003 + .99 .00 1.25 39.7756 .9900 .0003 + .99 .00 1.50 47.7308 .9900 .0002 + .99 1.00 .50 16.9103 .9900 .0006 + .99 1.00 .75 24.8654 .9900 .0004 + .99 1.00 1.00 32.8205 .9900 .0003 + .99 1.00 1.25 40.7756 .9900 .0003 + .99 1.00 1.50 48.7308 .9900 .0002 + .99 2.00 .50 17.9103 .9900 .0006 + .99 2.00 .75 25.8654 .9900 .0004 + .99 2.00 1.00 33.8205 .9900 .0003 + .99 2.00 1.25 41.7756 .9900 .0003 + .99 2.00 1.50 49.7308 .9900 .0002 + .99 3.00 .50 18.9103 .9900 .0006 + .99 3.00 .75 26.8654 .9900 .0004 + .99 3.00 1.00 34.8205 .9900 .0003 + .99 3.00 1.25 42.7756 .9900 .0003 + .99 3.00 1.50 50.7308 .9900 .0002 + .99 4.00 .50 19.9103 .9900 .0006 + .99 4.00 .75 27.8654 .9900 .0004 + .99 4.00 1.00 35.8205 .9900 .0003 + .99 4.00 1.25 43.7756 .9900 .0003 + .99 4.00 1.50 51.7308 .9900 .0002 + .99 5.00 .50 20.9103 .9900 .0006 + .99 5.00 .75 28.8654 .9900 .0004 + .99 5.00 1.00 36.8205 .9900 .0003 + .99 5.00 1.25 44.7756 .9900 .0003 + .99 5.00 1.50 52.7308 .9900 .0002 diff --git a/tests/expressions/randist/chisq.out b/tests/expressions/randist/chisq.out index 295dc379..41f78d24 100644 --- a/tests/expressions/randist/chisq.out +++ b/tests/expressions/randist/chisq.out @@ -1,44 +1,45 @@ - .01 1.00 .00 .01 31.83 .99 - .01 2.00 .02 .01 .49 .99 - .01 5.00 .55 .01 .04 .99 - .01 10.00 2.56 .01 .02 .99 - .10 1.00 .02 .10 3.15 .90 - .10 2.00 .21 .10 .45 .90 - .10 5.00 1.61 .10 .12 .90 - .10 10.00 4.87 .10 .06 .90 - .20 1.00 .06 .20 1.52 .80 - .20 2.00 .45 .20 .40 .80 - .20 5.00 2.34 .20 .15 .80 - .20 10.00 6.18 .20 .09 .80 - .30 1.00 .15 .30 .96 .70 - .30 2.00 .71 .30 .35 .70 - .30 5.00 3.00 .30 .15 .70 - .30 10.00 7.27 .30 .10 .70 - .40 1.00 .27 .40 .66 .60 - .40 2.00 1.02 .40 .30 .60 - .40 5.00 3.66 .40 .15 .60 - .40 10.00 8.30 .40 .10 .60 - .50 1.00 .45 .50 .47 .50 - .50 2.00 1.39 .50 .25 .50 - .50 5.00 4.35 .50 .14 .50 - .50 10.00 9.34 .50 .09 .50 - .60 1.00 .71 .60 .33 .40 - .60 2.00 1.83 .60 .20 .40 - .60 5.00 5.13 .60 .12 .40 - .60 10.00 10.47 .60 .08 .40 - .70 1.00 1.07 .70 .22 .30 - .70 2.00 2.41 .70 .15 .30 - .70 5.00 6.06 .70 .10 .30 - .70 10.00 11.78 .70 .07 .30 - .80 1.00 1.64 .80 .14 .20 - .80 2.00 3.22 .80 .10 .20 - .80 5.00 7.29 .80 .07 .20 - .80 10.00 13.44 .80 .05 .20 - .90 1.00 2.71 .90 .06 .10 - .90 2.00 4.61 .90 .05 .10 - .90 5.00 9.24 .90 .04 .10 - .90 10.00 15.99 .90 .03 .10 - .99 1.00 6.63 .99 .01 .01 - .99 2.00 9.21 .99 .00 .01 - .99 5.00 15.09 .99 .00 .01 - .99 10.00 23.21 .99 .00 .01 + P df x cdf pdf sig + .01 1.00 .0002 .0100 31.8277 .9900 + .01 2.00 .0201 .0100 .4950 .9900 + .01 5.00 .5543 .0100 .0416 .9900 + .01 10.00 2.5582 .0100 .0155 .9900 + .10 1.00 .0158 .1000 3.1498 .9000 + .10 2.00 .2107 .1000 .4500 .9000 + .10 5.00 1.6103 .1000 .1215 .9000 + .10 10.00 4.8652 .1000 .0641 .9000 + .20 1.00 .0642 .2000 1.5250 .8000 + .20 2.00 .4463 .2000 .4000 .8000 + .20 5.00 2.3425 .2000 .1478 .8000 + .20 10.00 6.1791 .2000 .0864 .8000 + .30 1.00 .1485 .3000 .9613 .7000 + .30 2.00 .7133 .3000 .3500 .7000 + .30 5.00 2.9999 .3000 .1542 .7000 + .30 10.00 7.2672 .3000 .0960 .7000 + .40 1.00 .2750 .4000 .6630 .6000 + .40 2.00 1.0217 .4000 .3000 .6000 + .40 5.00 3.6555 .4000 .1494 .6000 + .40 10.00 8.2955 .4000 .0974 .6000 + .50 1.00 .4549 .5000 .4711 .5000 + .50 2.00 1.3863 .5000 .2500 .5000 + .50 5.00 4.3515 .5000 .1370 .5000 + .50 10.00 9.3418 .5000 .0929 .5000 + .60 1.00 .7083 .6000 .3326 .4000 + .60 2.00 1.8326 .6000 .2000 .4000 + .60 5.00 5.1319 .6000 .1188 .4000 + .60 10.00 10.4732 .6000 .0833 .4000 + .70 1.00 1.0742 .7000 .2250 .3000 + .70 2.00 2.4079 .7000 .1500 .3000 + .70 5.00 6.0644 .7000 .0957 .3000 + .70 10.00 11.7807 .7000 .0694 .3000 + .80 1.00 1.6424 .8000 .1369 .2000 + .80 2.00 3.2189 .8000 .1000 .2000 + .80 5.00 7.2893 .8000 .0684 .2000 + .80 10.00 13.4420 .8000 .0512 .2000 + .90 1.00 2.7055 .9000 .0627 .1000 + .90 2.00 4.6052 .9000 .0500 .1000 + .90 5.00 9.2364 .9000 .0368 .1000 + .90 10.00 15.9872 .9000 .0287 .1000 + .99 1.00 6.6349 .9900 .0056 .0100 + .99 2.00 9.2103 .9900 .0050 .0100 + .99 5.00 15.0863 .9900 .0041 .0100 + .99 10.00 23.2093 .9900 .0034 .0100 diff --git a/tests/expressions/randist/compare.pl b/tests/expressions/randist/compare.pl new file mode 100755 index 00000000..28bd0fb0 --- /dev/null +++ b/tests/expressions/randist/compare.pl @@ -0,0 +1,53 @@ +#! /usr/bin/perl -w + +use strict; + +my ($epsilon) = 1; + +open (EXPECTED, '<', $ARGV[0]) or die "$ARGV[0]: open: $!\n"; +open (ACTUAL, '<', $ARGV[1]) or die "$ARGV[1]: open: $!\n"; + +my ($errors) = 0; +LINE: for (;;) { + my $a = ; + my $b = ; + + last if !defined $a && !defined $b; + die "$ARGV[0]:$.: unexpected end of file\n" if !defined $a; + die "$ARGV[1]:$.: unexpected end of file\n" if !defined $b; + + my (@a) = split (' ', $a); + my (@b) = split (' ', $b); + die "$ARGV[1]:$.: contains ". scalar (@b) . " fields but should " + . "contain " . scalar (@a) . "\n" + if $#a != $#b; + foreach my $i (0...$#a) { + die "$ARGV[1]:$.: unexpected number of decimals\n" + if count_decimals ($a[$i]) != count_decimals ($b[$i]); + + my ($an) = to_int ($a[$i]); + my ($bn) = to_int ($b[$i]); + if ($an ne $bn && ($bn < $an - $epsilon || $bn > $an + $epsilon)) { + $errors++; + if ($errors > 5) { + print "$ARGV[1]: Additional differences suppressed.\n"; + last LINE; + } + print "$ARGV[1]:$.: Values differ from $ARGV[0]:$.\n"; + print "Expected:\n", $a; + print "Calculated:\n", $b; + } + } +} +exit ($errors > 0); + +sub count_decimals { + my ($s) = @_; + return length (substr ($s, index ($s, '.'))); +} + +sub to_int { + local ($_) = @_; + s/\.//; + return $_; +} diff --git a/tests/expressions/randist/exp.out b/tests/expressions/randist/exp.out index aab88d04..b0abeac0 100644 --- a/tests/expressions/randist/exp.out +++ b/tests/expressions/randist/exp.out @@ -1,44 +1,45 @@ - .01 1.00 .01 .01 .99 - .01 2.00 .01 .01 1.98 - .01 5.00 .00 .01 4.95 - .01 10.00 .00 .01 9.90 - .10 1.00 .11 .10 .90 - .10 2.00 .05 .10 1.80 - .10 5.00 .02 .10 4.50 - .10 10.00 .01 .10 9.00 - .20 1.00 .22 .20 .80 - .20 2.00 .11 .20 1.60 - .20 5.00 .04 .20 4.00 - .20 10.00 .02 .20 8.00 - .30 1.00 .36 .30 .70 - .30 2.00 .18 .30 1.40 - .30 5.00 .07 .30 3.50 - .30 10.00 .04 .30 7.00 - .40 1.00 .51 .40 .60 - .40 2.00 .26 .40 1.20 - .40 5.00 .10 .40 3.00 - .40 10.00 .05 .40 6.00 - .50 1.00 .69 .50 .50 - .50 2.00 .35 .50 1.00 - .50 5.00 .14 .50 2.50 - .50 10.00 .07 .50 5.00 - .60 1.00 .92 .60 .40 - .60 2.00 .46 .60 .80 - .60 5.00 .18 .60 2.00 - .60 10.00 .09 .60 4.00 - .70 1.00 1.20 .70 .30 - .70 2.00 .60 .70 .60 - .70 5.00 .24 .70 1.50 - .70 10.00 .12 .70 3.00 - .80 1.00 1.61 .80 .20 - .80 2.00 .80 .80 .40 - .80 5.00 .32 .80 1.00 - .80 10.00 .16 .80 2.00 - .90 1.00 2.30 .90 .10 - .90 2.00 1.15 .90 .20 - .90 5.00 .46 .90 .50 - .90 10.00 .23 .90 1.00 - .99 1.00 4.61 .99 .01 - .99 2.00 2.30 .99 .02 - .99 5.00 .92 .99 .05 - .99 10.00 .46 .99 .10 + P a x cdf pdf + .01 1.00 .0101 .0100 .9900 + .01 2.00 .0050 .0100 1.9800 + .01 5.00 .0020 .0100 4.9500 + .01 10.00 .0010 .0100 9.9000 + .10 1.00 .1054 .1000 .9000 + .10 2.00 .0527 .1000 1.8000 + .10 5.00 .0211 .1000 4.5000 + .10 10.00 .0105 .1000 9.0000 + .20 1.00 .2231 .2000 .8000 + .20 2.00 .1116 .2000 1.6000 + .20 5.00 .0446 .2000 4.0000 + .20 10.00 .0223 .2000 8.0000 + .30 1.00 .3567 .3000 .7000 + .30 2.00 .1783 .3000 1.4000 + .30 5.00 .0713 .3000 3.5000 + .30 10.00 .0357 .3000 7.0000 + .40 1.00 .5108 .4000 .6000 + .40 2.00 .2554 .4000 1.2000 + .40 5.00 .1022 .4000 3.0000 + .40 10.00 .0511 .4000 6.0000 + .50 1.00 .6931 .5000 .5000 + .50 2.00 .3466 .5000 1.0000 + .50 5.00 .1386 .5000 2.5000 + .50 10.00 .0693 .5000 5.0000 + .60 1.00 .9163 .6000 .4000 + .60 2.00 .4581 .6000 .8000 + .60 5.00 .1833 .6000 2.0000 + .60 10.00 .0916 .6000 4.0000 + .70 1.00 1.2040 .7000 .3000 + .70 2.00 .6020 .7000 .6000 + .70 5.00 .2408 .7000 1.5000 + .70 10.00 .1204 .7000 3.0000 + .80 1.00 1.6094 .8000 .2000 + .80 2.00 .8047 .8000 .4000 + .80 5.00 .3219 .8000 1.0000 + .80 10.00 .1609 .8000 2.0000 + .90 1.00 2.3026 .9000 .1000 + .90 2.00 1.1513 .9000 .2000 + .90 5.00 .4605 .9000 .5000 + .90 10.00 .2303 .9000 1.0000 + .99 1.00 4.6052 .9900 .0100 + .99 2.00 2.3026 .9900 .0200 + .99 5.00 .9210 .9900 .0500 + .99 10.00 .4605 .9900 .1000 diff --git a/tests/expressions/randist/f.out b/tests/expressions/randist/f.out index ab76a257..527d78c5 100644 --- a/tests/expressions/randist/f.out +++ b/tests/expressions/randist/f.out @@ -1,176 +1,177 @@ - .01 1.00 1.00 .00 .01 20.26 - .01 1.00 2.00 .00 .01 25.00 - .01 1.00 5.00 .00 .01 28.82 - .01 1.00 10.00 .00 .01 30.28 - .01 2.00 1.00 .01 .01 .97 - .01 2.00 2.00 .01 .01 .98 - .01 2.00 5.00 .01 .01 .99 - .01 2.00 10.00 .01 .01 .99 - .01 5.00 1.00 .06 .01 .32 - .01 5.00 2.00 .08 .01 .28 - .01 5.00 5.00 .09 .01 .24 - .01 5.00 10.00 .10 .01 .23 - .01 10.00 1.00 .10 .01 .27 - .01 10.00 2.00 .13 .01 .23 - .01 10.00 5.00 .18 .01 .19 - .01 10.00 10.00 .21 .01 .17 - .10 1.00 1.00 .03 .10 1.96 - .10 1.00 2.00 .02 .10 2.45 - .10 1.00 5.00 .02 .10 2.84 - .10 1.00 10.00 .02 .10 2.99 - .10 2.00 1.00 .12 .10 .73 - .10 2.00 2.00 .11 .10 .81 - .10 2.00 5.00 .11 .10 .86 - .10 2.00 10.00 .11 .10 .88 - .10 5.00 1.00 .25 .10 .52 - .10 5.00 2.00 .26 .10 .57 - .10 5.00 5.00 .29 .10 .59 - .10 5.00 10.00 .30 .10 .60 - .10 10.00 1.00 .30 .10 .49 - .10 10.00 2.00 .34 .10 .54 - .10 10.00 5.00 .40 .10 .58 - .10 10.00 10.00 .43 .10 .60 - .20 1.00 1.00 .11 .20 .89 - .20 1.00 2.00 .08 .20 1.15 - .20 1.00 5.00 .07 .20 1.36 - .20 1.00 10.00 .07 .20 1.44 - .20 2.00 1.00 .28 .20 .51 - .20 2.00 2.00 .25 .20 .64 - .20 2.00 5.00 .23 .20 .73 - .20 2.00 10.00 .23 .20 .77 - .20 5.00 1.00 .46 .20 .41 - .20 5.00 2.00 .44 .20 .54 - .20 5.00 5.00 .45 .20 .64 - .20 5.00 10.00 .46 .20 .68 - .20 10.00 1.00 .53 .20 .39 - .20 10.00 2.00 .53 .20 .52 - .20 10.00 5.00 .55 .20 .66 - .20 10.00 10.00 .58 .20 .73 - .30 1.00 1.00 .26 .30 .50 - .30 1.00 2.00 .20 .30 .69 - .30 1.00 5.00 .17 .30 .84 - .30 1.00 10.00 .16 .30 .90 - .30 2.00 1.00 .52 .30 .34 - .30 2.00 2.00 .43 .30 .49 - .30 2.00 5.00 .38 .30 .61 - .30 2.00 10.00 .37 .30 .65 - .30 5.00 1.00 .75 .30 .29 - .30 5.00 2.00 .65 .30 .44 - .30 5.00 5.00 .61 .30 .60 - .30 5.00 10.00 .60 .30 .67 - .30 10.00 1.00 .84 .30 .27 - .30 10.00 2.00 .73 .30 .44 - .30 10.00 5.00 .71 .30 .63 - .30 10.00 10.00 .71 .30 .75 - .40 1.00 1.00 .53 .40 .29 - .40 1.00 2.00 .38 .40 .44 - .40 1.00 5.00 .31 .40 .57 - .40 1.00 10.00 .29 .40 .61 - .40 2.00 1.00 .89 .40 .22 - .40 2.00 2.00 .67 .40 .36 - .40 2.00 5.00 .57 .40 .49 - .40 2.00 10.00 .54 .40 .54 - .40 5.00 1.00 1.18 .40 .18 - .40 5.00 2.00 .90 .40 .34 - .40 5.00 5.00 .79 .40 .52 - .40 5.00 10.00 .76 .40 .61 - .40 10.00 1.00 1.29 .40 .18 - .40 10.00 2.00 .99 .40 .34 - .40 10.00 5.00 .88 .40 .56 - .40 10.00 10.00 .85 .40 .70 - .50 1.00 1.00 1.00 .50 .16 - .50 1.00 2.00 .67 .50 .28 - .50 1.00 5.00 .53 .50 .39 - .50 1.00 10.00 .49 .50 .43 - .50 2.00 1.00 1.50 .50 .12 - .50 2.00 2.00 1.00 .50 .25 - .50 2.00 5.00 .80 .50 .38 - .50 2.00 10.00 .74 .50 .44 - .50 5.00 1.00 1.89 .50 .11 - .50 5.00 2.00 1.25 .50 .24 - .50 5.00 5.00 1.00 .50 .42 - .50 5.00 10.00 .93 .50 .53 - .50 10.00 1.00 2.04 .50 .10 - .50 10.00 2.00 1.35 .50 .24 - .50 10.00 5.00 1.07 .50 .46 - .50 10.00 10.00 1.00 .50 .62 - .60 1.00 1.00 1.89 .60 .08 - .60 1.00 2.00 1.12 .60 .17 - .60 1.00 5.00 .85 .60 .26 - .60 1.00 10.00 .77 .60 .29 - .60 2.00 1.00 2.63 .60 .06 - .60 2.00 2.00 1.50 .60 .16 - .60 2.00 5.00 1.11 .60 .28 - .60 2.00 10.00 1.01 .60 .33 - .60 5.00 1.00 3.20 .60 .06 - .60 5.00 2.00 1.76 .60 .16 - .60 5.00 5.00 1.27 .60 .32 - .60 5.00 10.00 1.14 .60 .43 - .60 10.00 1.00 3.41 .60 .05 - .60 10.00 2.00 1.86 .60 .16 - .60 10.00 5.00 1.32 .60 .35 - .60 10.00 10.00 1.18 .60 .50 - .70 1.00 1.00 3.85 .70 .03 - .70 1.00 2.00 1.92 .70 .09 - .70 1.00 5.00 1.34 .70 .16 - .70 1.00 10.00 1.19 .70 .19 - .70 2.00 1.00 5.06 .70 .03 - .70 2.00 2.00 2.33 .70 .09 - .70 2.00 5.00 1.55 .70 .19 - .70 2.00 10.00 1.36 .70 .24 - .70 5.00 1.00 6.00 .70 .02 - .70 5.00 2.00 2.61 .70 .09 - .70 5.00 5.00 1.64 .70 .22 - .70 5.00 10.00 1.41 .70 .32 - .70 10.00 1.00 6.36 .70 .02 - .70 10.00 2.00 2.70 .70 .09 - .70 10.00 5.00 1.66 .70 .24 - .70 10.00 10.00 1.41 .70 .38 - .80 1.00 1.00 9.47 .80 .01 - .80 1.00 2.00 3.56 .80 .04 - .80 1.00 5.00 2.18 .80 .09 - .80 1.00 10.00 1.88 .80 .11 - .80 2.00 1.00 12.00 .80 .01 - .80 2.00 2.00 4.00 .80 .04 - .80 2.00 5.00 2.26 .80 .11 - .80 2.00 10.00 1.90 .80 .14 - .80 5.00 1.00 14.01 .80 .01 - .80 5.00 2.00 4.28 .80 .04 - .80 5.00 5.00 2.23 .80 .13 - .80 5.00 10.00 1.80 .80 .20 - .80 10.00 1.00 14.77 .80 .01 - .80 10.00 2.00 4.38 .80 .04 - .80 10.00 5.00 2.19 .80 .14 - .80 10.00 10.00 1.73 .80 .24 - .90 1.00 1.00 39.86 .90 .00 - .90 1.00 2.00 8.53 .90 .01 - .90 1.00 5.00 4.06 .90 .03 - .90 1.00 10.00 3.29 .90 .05 - .90 2.00 1.00 49.50 .90 .00 - .90 2.00 2.00 9.00 .90 .01 - .90 2.00 5.00 3.78 .90 .04 - .90 2.00 10.00 2.92 .90 .06 - .90 5.00 1.00 57.24 .90 .00 - .90 5.00 2.00 9.29 .90 .01 - .90 5.00 5.00 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.2000 1.5070 + .20 .50 5.00 .0074 .2000 7.5286 + .20 1.00 .50 .6565 .2000 .8529 + .20 1.00 1.00 .4310 .2000 .6495 + .20 1.00 2.00 .1858 .2000 .7535 + .20 1.00 5.00 .0149 .2000 3.7643 + .20 2.00 .50 1.3130 .2000 .4264 + .20 2.00 1.00 .8620 .2000 .3248 + .20 2.00 2.00 .3715 .2000 .3768 + .20 2.00 5.00 .0297 .2000 1.8822 + .20 5.00 .50 3.2826 .2000 .1706 + .20 5.00 1.00 2.1551 .2000 .1299 + .20 5.00 2.00 .9289 .2000 .1507 + .20 5.00 5.00 .0744 .2000 .7529 + .30 .50 .50 .3847 .3000 1.8077 + .30 .50 1.00 .2960 .3000 1.1748 + .30 .50 2.00 .1752 .3000 .9924 + .30 .50 5.00 .0363 .3000 1.9142 + .30 1.00 .50 .7694 .3000 .9039 + .30 1.00 1.00 .5919 .3000 .5874 + .30 1.00 2.00 .3504 .3000 .4962 + .30 1.00 5.00 .0727 .3000 .9571 + .30 2.00 .50 1.5387 .3000 .4519 + .30 2.00 1.00 1.1838 .3000 .2937 + .30 2.00 2.00 .7007 .3000 .2481 + .30 2.00 5.00 .1453 .3000 .4785 + .30 5.00 .50 3.8468 .3000 .1808 + .30 5.00 1.00 2.9596 .3000 .1175 + .30 5.00 2.00 1.7518 .3000 .0992 + .30 5.00 5.00 .3633 .3000 .1914 + .40 .50 .50 .4405 .4000 1.7541 + .40 .50 1.00 .3881 .4000 .9955 + .40 .50 2.00 .3012 .4000 .6412 + .40 .50 5.00 .1409 .4000 .5485 + .40 1.00 .50 .8810 .4000 .8770 + .40 1.00 1.00 .7762 .4000 .4977 + .40 1.00 2.00 .6025 .4000 .3206 + .40 1.00 5.00 .2817 .4000 .2742 + .40 2.00 .50 1.7620 .4000 .4385 + .40 2.00 1.00 1.5524 .4000 .2489 + .40 2.00 2.00 1.2050 .4000 .1603 + .40 2.00 5.00 .5635 .4000 .1371 + .40 5.00 .50 4.4051 .4000 .1754 + .40 5.00 1.00 3.8810 .4000 .0995 + .40 5.00 2.00 3.0124 .4000 .0641 + .40 5.00 5.00 1.4087 .4000 .0548 + .50 .50 .50 .5000 .5000 1.5958 + .50 .50 1.00 .5000 .5000 .7979 + .50 .50 2.00 .5000 .5000 .3989 + .50 .50 5.00 .5000 .5000 .1596 + .50 1.00 .50 1.0000 .5000 .7979 + .50 1.00 1.00 1.0000 .5000 .3989 + .50 1.00 2.00 1.0000 .5000 .1995 + .50 1.00 5.00 1.0000 .5000 .0798 + .50 2.00 .50 2.0000 .5000 .3989 + .50 2.00 1.00 2.0000 .5000 .1995 + .50 2.00 2.00 2.0000 .5000 .0997 + .50 2.00 5.00 2.0000 .5000 .0399 + .50 5.00 .50 5.0000 .5000 .1596 + .50 5.00 1.00 5.0000 .5000 .0798 + .50 5.00 2.00 5.0000 .5000 .0399 + .50 5.00 5.00 5.0000 .5000 .0160 + .60 .50 .50 .5675 .6000 1.3615 + .60 .50 1.00 .6442 .6000 .5998 + .60 .50 2.00 .8299 .6000 .2328 + .60 .50 5.00 1.7746 .6000 .0435 + .60 1.00 .50 1.1350 .6000 .6808 + .60 1.00 1.00 1.2883 .6000 .2999 + .60 1.00 2.00 1.6598 .6000 .1164 + .60 1.00 5.00 3.5492 .6000 .0218 + .60 2.00 .50 2.2701 .6000 .3404 + .60 2.00 1.00 2.5767 .6000 .1499 + .60 2.00 2.00 3.3196 .6000 .0582 + .60 2.00 5.00 7.0985 .6000 .0109 + .60 5.00 .50 5.6752 .6000 .1362 + .60 5.00 1.00 6.4417 .6000 .0600 + .60 5.00 2.00 8.2990 .6000 .0233 + .60 5.00 5.00 17.7462 .6000 .0044 + .70 .50 .50 .6499 .7000 1.0700 + .70 .50 1.00 .8447 .7000 .4116 + .70 .50 2.00 1.4271 .7000 .1218 + .70 .50 5.00 6.8816 .7000 .0101 + .70 1.00 .50 1.2998 .7000 .5350 + .70 1.00 1.00 1.6894 .7000 .2058 + .70 1.00 2.00 2.8542 .7000 .0609 + .70 1.00 5.00 13.7633 .7000 .0051 + .70 2.00 .50 2.5996 .7000 .2675 + .70 2.00 1.00 3.3789 .7000 .1029 + .70 2.00 2.00 5.7085 .7000 .0305 + .70 2.00 5.00 27.5265 .7000 .0025 + .70 5.00 .50 6.4989 .7000 .1070 + .70 5.00 1.00 8.4472 .7000 .0412 + .70 5.00 2.00 14.2711 .7000 .0122 + .70 5.00 5.00 68.8163 .7000 .0010 + .80 .50 .50 .7616 .8000 .7352 + .80 .50 1.00 1.1601 .8000 .2413 + .80 .50 2.00 2.6915 .8000 .0520 + .80 .50 5.00 33.6145 .8000 .0017 + .80 1.00 .50 1.5232 .8000 .3676 + .80 1.00 1.00 2.3201 .8000 .1207 + .80 1.00 2.00 5.3830 .8000 .0260 + .80 1.00 5.00 67.2291 .8000 .0008 + .80 2.00 .50 3.0464 .8000 .1838 + .80 2.00 1.00 4.6403 .8000 .0603 + .80 2.00 2.00 10.7660 .8000 .0130 + .80 2.00 5.00 134.4582 .8000 .0004 + .80 5.00 .50 7.6160 .8000 .0735 + .80 5.00 1.00 11.6006 .8000 .0241 + .80 5.00 2.00 26.9149 .8000 .0052 + .80 5.00 5.00 336.1455 .8000 .0002 + .90 .50 .50 .9490 .9000 .3699 + .90 .50 1.00 1.8011 .9000 .0974 + .90 .50 2.00 6.4880 .9000 .0135 + .90 .50 5.00 303.2661 .9000 .0001 + .90 1.00 .50 1.8980 .9000 .1849 + .90 1.00 1.00 3.6022 .9000 .0487 + .90 1.00 2.00 12.9760 .9000 .0068 + .90 1.00 5.00 606.5322 .9000 .0001 + .90 2.00 .50 3.7959 .9000 .0925 + .90 2.00 1.00 7.2044 .9000 .0244 + .90 2.00 2.00 25.9520 .9000 .0034 + .90 2.00 5.00 1213.0644 .9000 .0000 + .90 5.00 .50 9.4898 .9000 .0370 + .90 5.00 1.00 18.0111 .9000 .0097 + .90 5.00 2.00 64.8801 .9000 .0014 + .90 5.00 5.00 3032.6610 .9000 .0000 + .99 .50 .50 1.6000 .9900 .0333 + .99 .50 1.00 5.1202 .9900 .0052 + .99 .50 2.00 52.4337 .9900 .0003 + .99 .50 5.00 56308.0163 .9900 .0000 + .99 1.00 .50 3.2001 .9900 .0167 + .99 1.00 1.00 10.2405 .9900 .0026 + .99 1.00 2.00 104.8673 .9900 .0001 + .99 1.00 5.00 112616.033 .9900 .0000 + .99 2.00 .50 6.4001 .9900 .0083 + .99 2.00 1.00 20.4809 .9900 .0013 + .99 2.00 2.00 209.7346 .9900 .0001 + .99 2.00 5.00 225232.065 .9900 .0000 + .99 5.00 .50 16.0004 .9900 .0033 + .99 5.00 1.00 51.2024 .9900 .0005 + .99 5.00 2.00 524.3365 .9900 .0000 + .99 5.00 5.00 563080.163 .9900 .0000 diff --git a/tests/expressions/randist/logistic.out b/tests/expressions/randist/logistic.out index 90acd8f5..d2b5d6e0 100644 --- a/tests/expressions/randist/logistic.out +++ b/tests/expressions/randist/logistic.out @@ -1,220 +1,221 @@ - .01 -10.00 .50 -12.30 .01 .02 - .01 -10.00 1.00 -14.60 .01 .01 - .01 -10.00 2.00 -19.19 .01 .00 - .01 -10.00 5.00 -32.98 .01 .00 - .01 -5.00 .50 -7.30 .01 .02 - .01 -5.00 1.00 -9.60 .01 .01 - .01 -5.00 2.00 -14.19 .01 .00 - .01 -5.00 5.00 -27.98 .01 .00 - .01 .00 .50 -2.30 .01 .02 - .01 .00 1.00 -4.60 .01 .01 - .01 .00 2.00 -9.19 .01 .00 - .01 .00 5.00 -22.98 .01 .00 - .01 5.00 .50 2.70 .01 .02 - .01 5.00 1.00 .40 .01 .01 - .01 5.00 2.00 -4.19 .01 .00 - .01 5.00 5.00 -17.98 .01 .00 - .01 10.00 .50 7.70 .01 .02 - .01 10.00 1.00 5.40 .01 .01 - .01 10.00 2.00 .81 .01 .00 - .01 10.00 5.00 -12.98 .01 .00 - .10 -10.00 .50 -11.10 .10 .18 - .10 -10.00 1.00 -12.20 .10 .09 - .10 -10.00 2.00 -14.39 .10 .05 - .10 -10.00 5.00 -20.99 .10 .02 - .10 -5.00 .50 -6.10 .10 .18 - .10 -5.00 1.00 -7.20 .10 .09 - .10 -5.00 2.00 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- .60 1.00 10.00 1.10 .60 3.65 - .60 5.00 1.00 12.50 .60 .03 - .60 5.00 2.00 7.91 .60 .10 - .60 5.00 5.00 6.01 .60 .33 - .60 5.00 10.00 5.48 .60 .73 - .60 10.00 1.00 25.00 .60 .02 - .60 10.00 2.00 15.81 .60 .05 - .60 10.00 5.00 12.01 .60 .17 - .60 10.00 10.00 10.96 .60 .36 - .70 1.00 1.00 3.33 .70 .09 - .70 1.00 2.00 1.83 .70 .33 - .70 1.00 5.00 1.27 .70 1.18 - .70 1.00 10.00 1.13 .70 2.66 - .70 5.00 1.00 16.67 .70 .02 - .70 5.00 2.00 9.13 .70 .07 - .70 5.00 5.00 6.36 .70 .24 - .70 5.00 10.00 5.64 .70 .53 - .70 10.00 1.00 33.33 .70 .01 - .70 10.00 2.00 18.26 .70 .03 - .70 10.00 5.00 12.72 .70 .12 - .70 10.00 10.00 11.28 .70 .27 - .80 1.00 1.00 5.00 .80 .04 - .80 1.00 2.00 2.24 .80 .18 - .80 1.00 5.00 1.38 .80 .72 - .80 1.00 10.00 1.17 .80 1.70 - .80 5.00 1.00 25.00 .80 .01 - .80 5.00 2.00 11.18 .80 .04 - .80 5.00 5.00 6.90 .80 .14 - .80 5.00 10.00 5.87 .80 .34 - .80 10.00 1.00 50.00 .80 .00 - .80 10.00 2.00 22.36 .80 .02 - .80 10.00 5.00 13.80 .80 .07 - .80 10.00 10.00 11.75 .80 .17 - .90 1.00 1.00 10.00 .90 .01 - .90 1.00 2.00 3.16 .90 .06 - .90 1.00 5.00 1.58 .90 .32 - .90 1.00 10.00 1.26 .90 .79 - .90 5.00 1.00 50.00 .90 .00 - .90 5.00 2.00 15.81 .90 .01 - .90 5.00 5.00 7.92 .90 .06 - .90 5.00 10.00 6.29 .90 .16 - .90 10.00 1.00 100.00 .90 .00 - .90 10.00 2.00 31.62 .90 .01 - .90 10.00 5.00 15.85 .90 .03 - .90 10.00 10.00 12.59 .90 .08 - .99 1.00 1.00 100.00 .99 .00 - .99 1.00 2.00 10.00 .99 .00 - .99 1.00 5.00 2.51 .99 .02 - .99 1.00 10.00 1.58 .99 .06 - .99 5.00 1.00 500.00 .99 .00 - .99 5.00 2.00 50.00 .99 .00 - .99 5.00 5.00 12.56 .99 .00 - .99 5.00 10.00 7.92 .99 .01 - .99 10.00 1.00 1000.00 .99 .00 - .99 10.00 2.00 100.00 .99 .00 - .99 10.00 5.00 25.12 .99 .00 - .99 10.00 10.00 15.85 .99 .01 + P a b x cdf pdf + .01 1.00 1.00 1.0101 .0100 .9801 + .01 1.00 2.00 1.0050 .0100 1.9701 + .01 1.00 5.00 1.0020 .0100 4.9401 + .01 1.00 10.00 1.0010 .0100 9.8901 + .01 5.00 1.00 5.0505 .0100 .1960 + .01 5.00 2.00 5.0252 .0100 .3940 + .01 5.00 5.00 5.0101 .0100 .9880 + .01 5.00 10.00 5.0050 .0100 1.9780 + .01 10.00 1.00 10.1010 .0100 .0980 + .01 10.00 2.00 10.0504 .0100 .1970 + .01 10.00 5.00 10.0201 .0100 .4940 + .01 10.00 10.00 10.0101 .0100 .9890 + .10 1.00 1.00 1.1111 .1000 .8100 + .10 1.00 2.00 1.0541 .1000 1.7076 + .10 1.00 5.00 1.0213 .1000 4.4062 + .10 1.00 10.00 1.0106 .1000 8.9057 + .10 5.00 1.00 5.5556 .1000 .1620 + .10 5.00 2.00 5.2705 .1000 .3415 + .10 5.00 5.00 5.1065 .1000 .8812 + .10 5.00 10.00 5.0530 .1000 1.7811 + .10 10.00 1.00 11.1111 .1000 .0810 + .10 10.00 2.00 10.5409 .1000 .1708 + .10 10.00 5.00 10.2130 .1000 .4406 + .10 10.00 10.00 10.1059 .1000 .8906 + .20 1.00 1.00 1.2500 .2000 .6400 + .20 1.00 2.00 1.1180 .2000 1.4311 + .20 1.00 5.00 1.0456 .2000 3.8254 + .20 1.00 10.00 1.0226 .2000 7.8235 + .20 5.00 1.00 6.2500 .2000 .1280 + .20 5.00 2.00 5.5902 .2000 .2862 + .20 5.00 5.00 5.2282 .2000 .7651 + .20 5.00 10.00 5.1128 .2000 1.5647 + .20 10.00 1.00 12.5000 .2000 .0640 + .20 10.00 2.00 11.1803 .2000 .1431 + .20 10.00 5.00 10.4564 .2000 .3825 + .20 10.00 10.00 10.2257 .2000 .7823 + .30 1.00 1.00 1.4286 .3000 .4900 + .30 1.00 2.00 1.1952 .3000 1.1713 + .30 1.00 5.00 1.0739 .3000 3.2590 + .30 1.00 10.00 1.0363 .3000 6.7547 + .30 5.00 1.00 7.1429 .3000 .0980 + .30 5.00 2.00 5.9761 .3000 .2343 + .30 5.00 5.00 5.3697 .3000 .6518 + .30 5.00 10.00 5.1816 .3000 1.3509 + .30 10.00 1.00 14.2857 .3000 .0490 + .30 10.00 2.00 11.9523 .3000 .1171 + .30 10.00 5.00 10.7394 .3000 .3259 + .30 10.00 10.00 10.3631 .3000 .6755 + .40 1.00 1.00 1.6667 .4000 .3600 + .40 1.00 2.00 1.2910 .4000 .9295 + .40 1.00 5.00 1.1076 .4000 2.7086 + .40 1.00 10.00 1.0524 .4000 5.7012 + .40 5.00 1.00 8.3333 .4000 .0720 + .40 5.00 2.00 6.4550 .4000 .1859 + .40 5.00 5.00 5.5378 .4000 .5417 + .40 5.00 10.00 5.2620 .4000 1.1402 + .40 10.00 1.00 16.6667 .4000 .0360 + .40 10.00 2.00 12.9099 .4000 .0930 + .40 10.00 5.00 11.0757 .4000 .2709 + .40 10.00 10.00 10.5241 .4000 .5701 + .50 1.00 1.00 2.0000 .5000 .2500 + .50 1.00 2.00 1.4142 .5000 .7071 + .50 1.00 5.00 1.1487 .5000 2.1764 + .50 1.00 10.00 1.0718 .5000 4.6652 + .50 5.00 1.00 10.0000 .5000 .0500 + .50 5.00 2.00 7.0711 .5000 .1414 + .50 5.00 5.00 5.7435 .5000 .4353 + .50 5.00 10.00 5.3589 .5000 .9330 + .50 10.00 1.00 20.0000 .5000 .0250 + .50 10.00 2.00 14.1421 .5000 .0707 + .50 10.00 5.00 11.4870 .5000 .2176 + .50 10.00 10.00 10.7177 .5000 .4665 + .60 1.00 1.00 2.5000 .6000 .1600 + .60 1.00 2.00 1.5811 .6000 .5060 + .60 1.00 5.00 1.2011 .6000 1.6651 + .60 1.00 10.00 1.0960 .6000 3.6498 + .60 5.00 1.00 12.5000 .6000 .0320 + .60 5.00 2.00 7.9057 .6000 .1012 + .60 5.00 5.00 6.0056 .6000 .3330 + .60 5.00 10.00 5.4798 .6000 .7300 + .60 10.00 1.00 25.0000 .6000 .0160 + .60 10.00 2.00 15.8114 .6000 .0506 + .60 10.00 5.00 12.0112 .6000 .1665 + .60 10.00 10.00 10.9596 .6000 .3650 + .70 1.00 1.00 3.3333 .7000 .0900 + .70 1.00 2.00 1.8257 .7000 .3286 + .70 1.00 5.00 1.2723 .7000 1.1790 + .70 1.00 10.00 1.1279 .7000 2.6597 + .70 5.00 1.00 16.6667 .7000 .0180 + .70 5.00 2.00 9.1287 .7000 .0657 + .70 5.00 5.00 6.3613 .7000 .2358 + .70 5.00 10.00 5.6397 .7000 .5319 + .70 10.00 1.00 33.3333 .7000 .0090 + .70 10.00 2.00 18.2574 .7000 .0329 + .70 10.00 5.00 12.7226 .7000 .1179 + .70 10.00 10.00 11.2794 .7000 .2660 + .80 1.00 1.00 5.0000 .8000 .0400 + .80 1.00 2.00 2.2361 .8000 .1789 + .80 1.00 5.00 1.3797 .8000 .7248 + .80 1.00 10.00 1.1746 .8000 1.7027 + .80 5.00 1.00 25.0000 .8000 .0080 + .80 5.00 2.00 11.1803 .8000 .0358 + .80 5.00 5.00 6.8986 .8000 .1450 + .80 5.00 10.00 5.8731 .8000 .3405 + .80 10.00 1.00 50.0000 .8000 .0040 + .80 10.00 2.00 22.3607 .8000 .0179 + .80 10.00 5.00 13.7973 .8000 .0725 + .80 10.00 10.00 11.7462 .8000 .1703 + .90 1.00 1.00 10.0000 .9000 .0100 + .90 1.00 2.00 3.1623 .9000 .0632 + .90 1.00 5.00 1.5849 .9000 .3155 + .90 1.00 10.00 1.2589 .9000 .7943 + .90 5.00 1.00 50.0000 .9000 .0020 + .90 5.00 2.00 15.8114 .9000 .0126 + .90 5.00 5.00 7.9245 .9000 .0631 + .90 5.00 10.00 6.2946 .9000 .1589 + .90 10.00 1.00 100.0000 .9000 .0010 + .90 10.00 2.00 31.6228 .9000 .0063 + .90 10.00 5.00 15.8489 .9000 .0315 + .90 10.00 10.00 12.5893 .9000 .0794 + .99 1.00 1.00 100.0000 .9900 .0001 + .99 1.00 2.00 10.0000 .9900 .0020 + .99 1.00 5.00 2.5119 .9900 .0199 + .99 1.00 10.00 1.5849 .9900 .0631 + .99 5.00 1.00 500.0000 .9900 .0000 + .99 5.00 2.00 50.0000 .9900 .0004 + .99 5.00 5.00 12.5594 .9900 .0040 + .99 5.00 10.00 7.9245 .9900 .0126 + .99 10.00 1.00 1000.0000 .9900 .0000 + .99 10.00 2.00 100.0000 .9900 .0002 + .99 10.00 5.00 25.1189 .9900 .0020 + .99 10.00 10.00 15.8489 .9900 .0063 diff --git a/tests/expressions/randist/randist.pl b/tests/expressions/randist/randist.pl index 2e1b89d9..461fc541 100755 --- a/tests/expressions/randist/randist.pl +++ b/tests/expressions/randist/randist.pl @@ -37,13 +37,18 @@ while (<>) { } print "DATA LIST LIST/", join (' ', 'P', @vars), ".\n"; + print "NUMERIC ", join (' ', 'x', @funcs), " (F10.4)\n"; print "COMPUTE x = IDF.$dist (", join (', ', 'P', @vars), ").\n"; foreach my $func (@funcs) { print "COMPUTE $func = $func.$dist (", join (', ', 'x', @vars), ").\n"; } + my (@print) = ('P', @vars, 'x', @funcs); + print "DO IF \$CASENUM = 1.\n"; + print "PRINT OUTFILE='$dist.out'/'", heading (@print), "'\n"; + print "END IF.\n"; print "PRINT OUTFILE='$dist.out'/", - join (' ', 'P', @vars, 'x', @funcs), ".\n"; + join (' ', @print), ".\n"; print "BEGIN DATA.\n"; print_all_values (['P', @vars], []); print "END DATA.\n"; @@ -63,3 +68,16 @@ sub print_all_values { } } } + +sub heading { + my (@names) = @_; + my ($out); + $out .= pad_to (shift (@names), 8) while $names[0] ne 'x'; + $out .= pad_to (shift (@names), 10) while @names; + return $out; +} + +sub pad_to { + my ($s, $n) = @_; + return (' ' x ($n - length ($s))) . $s . ' '; +} diff --git a/tests/expressions/randist/t.out b/tests/expressions/randist/t.out index b3e58f55..6236bd2f 100644 --- a/tests/expressions/randist/t.out +++ b/tests/expressions/randist/t.out @@ -1,88 +1,89 @@ - .01 1.00 -31.82 .01 .00 - .01 2.00 -6.96 .01 .00 - .01 3.00 -4.54 .01 .01 - .01 4.00 -3.75 .01 .01 - .01 5.00 -3.36 .01 .01 - .01 10.00 -2.76 .01 .02 - .01 30.00 -2.46 .01 .02 - .01 100.00 -2.36 .01 .03 - .10 1.00 -3.08 .10 .03 - .10 2.00 -1.89 .10 .08 - .10 3.00 -1.64 .10 .10 - .10 4.00 -1.53 .10 .12 - .10 5.00 -1.48 .10 .13 - .10 10.00 -1.37 .10 .15 - .10 30.00 -1.31 .10 .17 - .10 100.00 -1.29 .10 .17 - .20 1.00 -1.38 .20 .11 - .20 2.00 -1.06 .20 .18 - .20 3.00 -.98 .20 .21 - .20 4.00 -.94 .20 .23 - .20 5.00 -.92 .20 .24 - .20 10.00 -.88 .20 .26 - .20 30.00 -.85 .20 .27 - .20 100.00 -.85 .20 .28 - .30 1.00 -.73 .30 .21 - .30 2.00 -.62 .30 .27 - .30 3.00 -.58 .30 .30 - .30 4.00 -.57 .30 .31 - .30 5.00 -.56 .30 .32 - .30 10.00 -.54 .30 .33 - .30 30.00 -.53 .30 .34 - .30 100.00 -.53 .30 .35 - .40 1.00 -.32 .40 .29 - .40 2.00 -.29 .40 .33 - .40 3.00 -.28 .40 .35 - .40 4.00 -.27 .40 .36 - .40 5.00 -.27 .40 .36 - .40 10.00 -.26 .40 .37 - .40 30.00 -.26 .40 .38 - .40 100.00 -.25 .40 .39 - .50 1.00 .00 .50 .32 - .50 2.00 .00 .50 .35 - .50 3.00 .00 .50 .37 - .50 4.00 .00 .50 .38 - .50 5.00 .00 .50 .38 - .50 10.00 .00 .50 .39 - .50 30.00 .00 .50 .40 - .50 100.00 .00 .50 .40 - .60 1.00 .32 .60 .29 - .60 2.00 .29 .60 .33 - .60 3.00 .28 .60 .35 - .60 4.00 .27 .60 .36 - .60 5.00 .27 .60 .36 - .60 10.00 .26 .60 .37 - .60 30.00 .26 .60 .38 - .60 100.00 .25 .60 .39 - .70 1.00 .73 .70 .21 - .70 2.00 .62 .70 .27 - .70 3.00 .58 .70 .30 - .70 4.00 .57 .70 .31 - .70 5.00 .56 .70 .32 - .70 10.00 .54 .70 .33 - .70 30.00 .53 .70 .34 - .70 100.00 .53 .70 .35 - .80 1.00 1.38 .80 .11 - .80 2.00 1.06 .80 .18 - .80 3.00 .98 .80 .21 - .80 4.00 .94 .80 .23 - .80 5.00 .92 .80 .24 - .80 10.00 .88 .80 .26 - .80 30.00 .85 .80 .27 - .80 100.00 .85 .80 .28 - .90 1.00 3.08 .90 .03 - .90 2.00 1.89 .90 .08 - .90 3.00 1.64 .90 .10 - .90 4.00 1.53 .90 .12 - .90 5.00 1.48 .90 .13 - .90 10.00 1.37 .90 .15 - .90 30.00 1.31 .90 .17 - .90 100.00 1.29 .90 .17 - .99 1.00 31.82 .99 .00 - .99 2.00 6.96 .99 .00 - .99 3.00 4.54 .99 .01 - .99 4.00 3.75 .99 .01 - .99 5.00 3.36 .99 .01 - .99 10.00 2.76 .99 .02 - .99 30.00 2.46 .99 .02 - .99 100.00 2.36 .99 .03 + P df x cdf pdf + .01 1.00 -31.8205 .0100 .0003 + .01 2.00 -6.9646 .0100 .0028 + .01 3.00 -4.5407 .0100 .0059 + .01 4.00 -3.7469 .0100 .0087 + .01 5.00 -3.3649 .0100 .0109 + .01 10.00 -2.7638 .0100 .0172 + .01 30.00 -2.4573 .0100 .0231 + .01 100.00 -2.3642 .0100 .0255 + .10 1.00 -3.0777 .1000 .0304 + .10 2.00 -1.8856 .1000 .0764 + .10 3.00 -1.6377 .1000 .1025 + .10 4.00 -1.5332 .1000 .1181 + .10 5.00 -1.4759 .1000 .1283 + .10 10.00 -1.3722 .1000 .1507 + .10 30.00 -1.3104 .1000 .1670 + .10 100.00 -1.2901 .1000 .1729 + .20 1.00 -1.3764 .2000 .1100 + .20 2.00 -1.0607 .2000 .1810 + .20 3.00 -.9785 .2000 .2112 + .20 4.00 -.9410 .2000 .2275 + .20 5.00 -.9195 .2000 .2376 + .20 10.00 -.8791 .2000 .2584 + .20 30.00 -.8538 .2000 .2727 + .20 100.00 -.8452 .2000 .2778 + .30 1.00 -.7265 .3000 .2083 + .30 2.00 -.6172 .3000 .2722 + .30 3.00 -.5844 .3000 .2963 + .30 4.00 -.5686 .3000 .3088 + .30 5.00 -.5594 .3000 .3164 + .30 10.00 -.5415 .3000 .3319 + .30 30.00 -.5300 .3000 .3424 + .30 100.00 -.5261 .3000 .3461 + .40 1.00 -.3249 .4000 .2879 + .40 2.00 -.2887 .4000 .3326 + .40 3.00 -.2767 .4000 .3495 + .40 4.00 -.2707 .4000 .3584 + .40 5.00 -.2672 .4000 .3638 + .40 10.00 -.2602 .4000 .3749 + .40 30.00 -.2556 .4000 .3825 + .40 100.00 -.2540 .4000 .3852 + .50 1.00 .0000 .5000 .3183 + .50 2.00 .0000 .5000 .3536 + .50 3.00 .0000 .5000 .3676 + .50 4.00 .0000 .5000 .3750 + .50 5.00 .0000 .5000 .3796 + .50 10.00 .0000 .5000 .3891 + .50 30.00 .0000 .5000 .3956 + .50 100.00 .0000 .5000 .3979 + .60 1.00 .3249 .6000 .2879 + .60 2.00 .2887 .6000 .3326 + .60 3.00 .2767 .6000 .3495 + .60 4.00 .2707 .6000 .3584 + .60 5.00 .2672 .6000 .3638 + .60 10.00 .2602 .6000 .3749 + .60 30.00 .2556 .6000 .3825 + .60 100.00 .2540 .6000 .3852 + .70 1.00 .7265 .7000 .2083 + .70 2.00 .6172 .7000 .2722 + .70 3.00 .5844 .7000 .2963 + .70 4.00 .5686 .7000 .3088 + .70 5.00 .5594 .7000 .3164 + .70 10.00 .5415 .7000 .3319 + .70 30.00 .5300 .7000 .3424 + .70 100.00 .5261 .7000 .3461 + .80 1.00 1.3764 .8000 .1100 + .80 2.00 1.0607 .8000 .1810 + .80 3.00 .9785 .8000 .2112 + .80 4.00 .9410 .8000 .2275 + .80 5.00 .9195 .8000 .2376 + .80 10.00 .8791 .8000 .2584 + .80 30.00 .8538 .8000 .2727 + .80 100.00 .8452 .8000 .2778 + .90 1.00 3.0777 .9000 .0304 + .90 2.00 1.8856 .9000 .0764 + .90 3.00 1.6377 .9000 .1025 + .90 4.00 1.5332 .9000 .1181 + .90 5.00 1.4759 .9000 .1283 + .90 10.00 1.3722 .9000 .1507 + .90 30.00 1.3104 .9000 .1670 + .90 100.00 1.2901 .9000 .1729 + .99 1.00 31.8205 .9900 .0003 + .99 2.00 6.9646 .9900 .0028 + .99 3.00 4.5407 .9900 .0059 + .99 4.00 3.7469 .9900 .0087 + .99 5.00 3.3649 .9900 .0109 + .99 10.00 2.7638 .9900 .0172 + .99 30.00 2.4573 .9900 .0231 + .99 100.00 2.3642 .9900 .0255 diff --git a/tests/expressions/randist/uniform.out b/tests/expressions/randist/uniform.out index f36ff007..643a70e2 100644 --- a/tests/expressions/randist/uniform.out +++ b/tests/expressions/randist/uniform.out @@ -1,176 +1,177 @@ - .01 -10.00 40.00 -9.50 .01 .02 - .01 -10.00 41.00 -9.49 .01 .02 - .01 -10.00 45.00 -9.45 .01 .02 - .01 -10.00 50.00 -9.40 .01 .02 - .01 .00 40.00 .40 .01 .03 - .01 .00 41.00 .41 .01 .02 - .01 .00 45.00 .45 .01 .02 - .01 .00 50.00 .50 .01 .02 - .01 20.00 40.00 20.20 .01 .05 - .01 20.00 41.00 20.21 .01 .05 - .01 20.00 45.00 20.25 .01 .04 - .01 20.00 50.00 20.30 .01 .03 - .01 30.00 40.00 30.10 .01 .10 - .01 30.00 41.00 30.11 .01 .09 - .01 30.00 45.00 30.15 .01 .07 - .01 30.00 50.00 30.20 .01 .05 - .10 -10.00 40.00 -5.00 .10 .02 - .10 -10.00 41.00 -4.90 .10 .02 - .10 -10.00 45.00 -4.50 .10 .02 - .10 -10.00 50.00 -4.00 .10 .02 - .10 .00 40.00 4.00 .10 .03 - .10 .00 41.00 4.10 .10 .02 - .10 .00 45.00 4.50 .10 .02 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4.00 .3166 .0100 .1257 + .01 1.00 8.00 .5627 .0100 .1415 + .01 2.00 1.00 .0201 .0100 .4950 + .01 2.00 2.00 .2005 .0100 .0992 + .01 2.00 4.00 .6332 .0100 .0628 + .01 2.00 8.00 1.1254 .0100 .0707 + .01 5.00 1.00 .0503 .0100 .1980 + .01 5.00 2.00 .5013 .0100 .0397 + .01 5.00 4.00 1.5831 .0100 .0251 + .01 5.00 8.00 2.8135 .0100 .0283 + .10 .50 1.00 .0527 .1000 1.8000 + .10 .50 2.00 .1623 .1000 1.1685 + .10 .50 4.00 .2849 .1000 1.3315 + .10 .50 8.00 .3774 .1000 2.0100 + .10 1.00 1.00 .1054 .1000 .9000 + .10 1.00 2.00 .3246 .1000 .5843 + .10 1.00 4.00 .5697 .1000 .6657 + .10 1.00 8.00 .7548 .1000 1.0050 + .10 2.00 1.00 .2107 .1000 .4500 + .10 2.00 2.00 .6492 .1000 .2921 + .10 2.00 4.00 1.1395 .1000 .3329 + .10 2.00 8.00 1.5096 .1000 .5025 + .10 5.00 1.00 .5268 .1000 .1800 + .10 5.00 2.00 1.6230 .1000 .1169 + .10 5.00 4.00 2.8487 .1000 .1331 + .10 5.00 8.00 3.7740 .1000 .2010 + .20 .50 1.00 .1116 .2000 1.6000 + .20 .50 2.00 .2362 .2000 1.5116 + .20 .50 4.00 .3436 .2000 2.0779 + .20 .50 8.00 .4145 .2000 3.4453 + .20 1.00 1.00 .2231 .2000 .8000 + .20 1.00 2.00 .4724 .2000 .7558 + .20 1.00 4.00 .6873 .2000 1.0389 + .20 1.00 8.00 .8290 .2000 1.7226 + .20 2.00 1.00 .4463 .2000 .4000 + .20 2.00 2.00 .9448 .2000 .3779 + .20 2.00 4.00 1.3746 .2000 .5195 + .20 2.00 8.00 1.6581 .2000 .8613 + .20 5.00 1.00 1.1157 .2000 .1600 + .20 5.00 2.00 2.3619 .2000 .1512 + .20 5.00 4.00 3.4365 .2000 .2078 + .20 5.00 8.00 4.1452 .2000 .3445 + .30 .50 1.00 .1783 .3000 1.4000 + .30 .50 2.00 .2986 .3000 1.6722 + .30 .50 4.00 .3864 .3000 2.5846 + .30 .50 8.00 .4395 .3000 4.5442 + .30 1.00 1.00 .3567 .3000 .7000 + .30 1.00 2.00 .5972 .3000 .8361 + .30 1.00 4.00 .7728 .3000 1.2923 + .30 1.00 8.00 .8791 .3000 2.2721 + .30 2.00 1.00 .7133 .3000 .3500 + .30 2.00 2.00 1.1944 .3000 .4181 + .30 2.00 4.00 1.5456 .3000 .6461 + .30 2.00 8.00 1.7582 .3000 1.1360 + .30 5.00 1.00 1.7834 .3000 .1400 + .30 5.00 2.00 2.9861 .3000 .1672 + .30 5.00 4.00 3.8640 .3000 .2585 + .30 5.00 8.00 4.3955 .3000 .4544 + .40 .50 1.00 .2554 .4000 1.2000 + .40 .50 2.00 .3574 .4000 1.7153 + .40 .50 4.00 .4227 .4000 2.9003 + .40 .50 8.00 .4597 .4000 5.3335 + .40 1.00 1.00 .5108 .4000 .6000 + .40 1.00 2.00 .7147 .4000 .8577 + .40 1.00 4.00 .8454 .4000 1.4502 + .40 1.00 8.00 .9195 .4000 2.6667 + .40 2.00 1.00 1.0217 .4000 .3000 + .40 2.00 2.00 1.4294 .4000 .4288 + .40 2.00 4.00 1.6908 .4000 .7251 + .40 2.00 8.00 1.8389 .4000 1.3334 + .40 5.00 1.00 2.5541 .4000 .1200 + .40 5.00 2.00 3.5736 .4000 .1715 + .40 5.00 4.00 4.2271 .4000 .2900 + .40 5.00 8.00 4.5973 .4000 .5333 + .50 .50 1.00 .3466 .5000 1.0000 + .50 .50 2.00 .4163 .5000 1.6651 + .50 .50 4.00 .4562 .5000 3.0386 + .50 .50 8.00 .4776 .5000 5.8051 + .50 1.00 1.00 .6931 .5000 .5000 + .50 1.00 2.00 .8326 .5000 .8326 + .50 1.00 4.00 .9124 .5000 1.5193 + .50 1.00 8.00 .9552 .5000 2.9026 + .50 2.00 1.00 1.3863 .5000 .2500 + .50 2.00 2.00 1.6651 .5000 .4163 + .50 2.00 4.00 1.8249 .5000 .7597 + .50 2.00 8.00 1.9104 .5000 1.4513 + .50 5.00 1.00 3.4657 .5000 .1000 + .50 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