AT_BANNER([random distributions]) m4_divert_push([PREPARE_TESTS]) [randist_compare () { cat > compare.pl <<'EOF' use strict; use warnings 'all'; 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 > 50) { 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 $_; } EOF }] m4_divert_pop([PREPARE_TESTS]) m4_define([RANDIST_CHECK], [AT_SETUP([random distributions -- $1]) randist_compare AT_DATA([$1.in], [$4]) AT_DATA([$1.sps], [dnl DATA LIST LIST FILE='$1.in' NOTABLE SKIP=1 /P $2[]m4_foreach_w([function], [x $3], [ X[]function]). NUMERIC x $3 (F10.4). COMPUTE x = IDF.$1(P[]m4_foreach_w([variable], [$2], [, variable])). m4_foreach_w([function], [$3], [COMPUTE function = function[].$1[](x[]m4_foreach_w([variable], [$2], [, variable])). ])dnl DO IF $CASENUM = 1. PRINT OUTFILE='$1.out'/"dnl m4_foreach_w([variable], [P $2], [m4_format([%8s ], variable)])dnl m4_foreach_w([function], [x $3], [m4_format([%10s ], function)])". END IF. PRINT OUTFILE='$1.out'/P $2 x $3. EXECUTE. ]) AT_CHECK([pspp -O format=csv $1.sps]) AT_CHECK([$PERL compare.pl $1.in $1.out]) AT_CLEANUP]) RANDIST_CHECK([beta], [a b], [cdf pdf], [dnl P a b x cdf pdf .01 .75 .25 .0107 .0100 .7059 .01 .75 .50 .0047 .0100 1.5975 .01 .75 1.00 .0022 .0100 3.4812 .01 .75 1.50 .0014 .0100 5.4014 .01 .75 2.00 .0010 .0100 7.3328 .01 .75 2.50 .0008 .0100 9.2691 .01 .75 3.00 .0007 .0100 11.2077 .01 1.00 .25 .0394 .0100 .2577 .01 1.00 .50 .0199 .0100 .5051 .01 1.00 1.00 .0100 .0100 1.0000 .01 1.00 1.50 .0067 .0100 1.4950 .01 1.00 2.00 .0050 .0100 1.9900 .01 1.00 2.50 .0040 .0100 2.4850 .01 1.00 3.00 .0033 .0100 2.9800 .01 1.50 .25 .1343 .0100 .1168 .01 1.50 .50 .0808 .0100 .1888 .01 1.50 1.00 .0464 .0100 .3232 .01 1.50 1.50 .0328 .0100 .4538 .01 1.50 2.00 .0255 .0100 .5831 .01 1.50 2.50 .0208 .0100 .7118 .01 1.50 3.00 .0176 .0100 .8402 .10 .75 .25 .2094 .1000 .3968 .10 .75 .50 .0985 .1000 .7845 .10 .75 1.00 .0464 .1000 1.6158 .10 .75 1.50 .0302 .1000 2.4656 .10 .75 2.00 .0223 .1000 3.3210 .10 .75 2.50 .0177 .1000 4.1787 .10 .75 3.00 .0146 .1000 5.0376 .10 1.00 .25 .3439 .1000 .3429 .10 1.00 .50 .1900 .1000 .5556 .10 1.00 1.00 .1000 .1000 1.0000 .10 1.00 1.50 .0678 .1000 1.4482 .10 1.00 2.00 .0513 .1000 1.8974 .10 1.00 2.50 .0413 .1000 2.3469 .10 1.00 3.00 .0345 .1000 2.7965 .10 1.50 .25 .5280 .1000 .3650 .10 1.50 .50 .3514 .1000 .4685 .10 1.50 1.00 .2154 .1000 .6962 .10 1.50 1.50 .1565 .1000 .9252 .10 1.50 2.00 .1231 .1000 1.1537 .10 1.50 2.50 .1015 .1000 1.3821 .10 1.50 3.00 .0864 .1000 1.6102 .20 .75 .25 .4559 .2000 .4324 .20 .75 .50 .2372 .2000 .6847 .20 .75 1.00 .1170 .2000 1.2825 .20 .75 1.50 .0770 .2000 1.9025 .20 .75 2.00 .0573 .2000 2.5285 .20 .75 2.50 .0456 .2000 3.1569 .20 .75 3.00 .0379 .2000 3.7865 .20 1.00 .25 .5904 .2000 .4883 .20 1.00 .50 .3600 .2000 .6250 .20 1.00 1.00 .2000 .2000 1.0000 .20 1.00 1.50 .1382 .2000 1.3925 .20 1.00 2.00 .1056 .2000 1.7889 .20 1.00 2.50 .0854 .2000 2.1867 .20 1.00 3.00 .0717 .2000 2.5853 .20 1.50 .25 .7324 .2000 .6579 .20 1.50 .50 .5280 .2000 .6733 .20 1.50 1.00 .3420 .2000 .8772 .20 1.50 1.50 .2541 .2000 1.1086 .20 1.50 2.00 .2024 .2000 1.3456 .20 1.50 2.50 .1683 .2000 1.5847 .20 1.50 3.00 .1441 .2000 1.8249 .30 .75 .25 .6615 .3000 .5624 .30 .75 .50 .3852 .3000 .6756 .30 .75 1.00 .2008 .3000 1.1204 .30 .75 1.50 .1346 .3000 1.6023 .30 .75 2.00 .1010 .3000 2.0929 .30 .75 2.50 .0808 .3000 2.5868 .30 .75 3.00 .0673 .3000 3.0823 .30 1.00 .25 .7599 .3000 .7289 .30 1.00 .50 .5100 .3000 .7143 .30 1.00 1.00 .3000 .3000 1.0000 .30 1.00 1.50 .2116 .3000 1.3319 .30 1.00 2.00 .1633 .3000 1.6733 .30 1.00 2.50 .1330 .3000 2.0184 .30 1.00 3.00 .1121 .3000 2.3651 .30 1.50 .25 .8510 .3000 1.1004 .30 1.50 .50 .6576 .3000 .8823 .30 1.50 1.00 .4481 .3000 1.0041 .30 1.50 1.50 .3402 .3000 1.2064 .30 1.50 2.00 .2743 .3000 1.4253 .30 1.50 2.50 .2298 .3000 1.6503 .30 1.50 3.00 .1978 .3000 1.8782 .40 .75 .25 .8106 .4000 .8261 .40 .75 .50 .5300 .4000 .7134 .40 .75 1.00 .2947 .4000 1.0179 .40 .75 1.50 .2017 .4000 1.3908 .40 .75 2.00 .1530 .4000 1.7776 .40 .75 2.50 .1231 .4000 2.1695 .40 .75 3.00 .1029 .4000 2.5638 .40 1.00 .25 .8704 .4000 1.1574 .40 1.00 .50 .6400 .4000 .8333 .40 1.00 1.00 .4000 .4000 1.0000 .40 1.00 1.50 .2886 .4000 1.2651 .40 1.00 2.00 .2254 .4000 1.5492 .40 1.00 2.50 .1848 .4000 1.8401 .40 1.00 3.00 .1566 .4000 2.1341 .40 1.50 .25 .9219 .4000 1.8596 .40 1.50 .50 .7581 .4000 1.1269 .40 1.50 1.00 .5429 .4000 1.1052 .40 1.50 1.50 .4211 .4000 1.2573 .40 1.50 2.00 .3438 .4000 1.4428 .40 1.50 2.50 .2904 .4000 1.6405 .40 1.50 3.00 .2514 .4000 1.8440 .50 .75 .25 .9067 .5000 1.3662 .50 .75 .50 .6633 .5000 .7969 .50 .75 1.00 .3969 .5000 .9449 .50 .75 1.50 .2786 .5000 1.2197 .50 .75 2.00 .2139 .5000 1.5170 .50 .75 2.50 .1734 .5000 1.8224 .50 .75 3.00 .1458 .5000 2.1314 .50 1.00 .25 .9375 .5000 2.0000 .50 1.00 .50 .7500 .5000 1.0000 .50 1.00 1.00 .5000 .5000 1.0000 .50 1.00 1.50 .3700 .5000 1.1906 .50 1.00 2.00 .2929 .5000 1.4142 .50 1.00 2.50 .2421 .5000 1.6494 .50 1.00 3.00 .2063 .5000 1.8899 .50 1.50 .25 .9630 .5000 3.3258 .50 1.50 .50 .8368 .5000 1.4416 .50 1.50 1.00 .6300 .5000 1.1906 .50 1.50 1.50 .5000 .5000 1.2732 .50 1.50 2.00 .4136 .5000 1.4142 .50 1.50 2.50 .3525 .5000 1.5755 .50 1.50 3.00 .3069 .5000 1.7464 .60 .75 .25 .9613 .6000 2.6072 .60 .75 .50 .7793 .6000 .9454 .60 .75 1.00 .5061 .6000 .8892 .60 .75 1.50 .3662 .6000 1.0676 .60 .75 2.00 .2856 .6000 1.2826 .60 .75 2.50 .2337 .6000 1.5099 .60 .75 3.00 .1976 .6000 1.7426 .60 1.00 .25 .9744 .6000 3.9063 .60 1.00 .50 .8400 .6000 1.2500 .60 1.00 1.00 .6000 .6000 1.0000 .60 1.00 1.50 .4571 .6000 1.1052 .60 1.00 2.00 .3675 .6000 1.2649 .60 1.00 2.50 .3069 .6000 1.4427 .60 1.00 3.00 .2632 .6000 1.6287 .60 1.50 .25 .9850 .6000 6.6134 .60 1.50 .50 .8978 .6000 1.8869 .60 1.50 1.00 .7114 .6000 1.2651 .60 1.50 1.50 .5789 .6000 1.2573 .60 1.50 2.00 .4860 .6000 1.3438 .60 1.50 2.50 .4182 .6000 1.4617 .60 1.50 3.00 .3667 .6000 1.5938 .70 .75 .25 .9877 .7000 6.1137 .70 .75 .50 .8736 .7000 1.2142 .70 .75 1.00 .6215 .7000 .8447 .70 .75 1.50 .4670 .7000 .9214 .70 .75 2.00 .3714 .7000 1.0570 .70 .75 2.50 .3075 .7000 1.2110 .70 .75 3.00 .2622 .7000 1.3731 .70 1.00 .25 .9919 .7000 9.2593 .70 1.00 .50 .9100 .7000 1.6667 .70 1.00 1.00 .7000 .7000 1.0000 .70 1.00 1.50 .5519 .7000 1.0041 .70 1.00 2.00 .4523 .7000 1.0954 .70 1.00 2.50 .3822 .7000 1.2140 .70 1.00 3.00 .3306 .7000 1.3444 .70 1.50 .25 .9953 .7000 15.8068 .70 1.50 .50 .9434 .7000 2.5994 .70 1.50 1.00 .7884 .7000 1.3319 .70 1.50 1.50 .6598 .7000 1.2064 .70 1.50 2.00 .5635 .7000 1.2287 .70 1.50 2.50 .4905 .7000 1.2972 .70 1.50 3.00 .4337 .7000 1.3859 .80 .75 .25 .9976 .8000 20.5520 .80 .75 .50 .9431 .8000 1.7757 .80 .75 1.00 .7427 .8000 .8079 .80 .75 1.50 .5855 .8000 .7679 .80 .75 2.00 .4781 .8000 .8238 .80 .75 2.50 .4025 .8000 .9075 .80 .75 3.00 .3469 .8000 1.0028 .80 1.00 .25 .9984 .8000 31.2500 .80 1.00 .50 .9600 .8000 2.5000 .80 1.00 1.00 .8000 .8000 1.0000 .80 1.00 1.50 .6580 .8000 .8772 .80 1.00 2.00 .5528 .8000 .8944 .80 1.00 2.50 .4747 .8000 .9518 .80 1.00 3.00 .4152 .8000 1.0260 .80 1.50 .25 .9991 .8000 53.5108 .80 1.50 .50 .9751 .8000 3.9855 .80 1.50 1.00 .8618 .8000 1.3925 .80 1.50 1.50 .7459 .8000 1.1086 .80 1.50 2.00 .6508 .8000 1.0564 .80 1.50 2.50 .5748 .8000 1.0706 .80 1.50 3.00 .5137 .8000 1.1124 .90 .75 .25 .9998 .9000 164.2657 .90 .75 .50 .9857 .9000 3.4998 .90 .75 1.00 .8689 .9000 .7768 .90 .75 1.50 .7336 .9000 .5818 .90 .75 2.00 .6239 .9000 .5555 .90 .75 2.50 .5392 .9000 .5712 .90 .75 3.00 .4734 .9000 .6033 .90 1.00 .25 .9999 .9000 250.0000 .90 1.00 .50 .9900 .9000 5.0000 .90 1.00 1.00 .9000 .9000 1.0000 .90 1.00 1.50 .7846 .9000 .6962 .90 1.00 2.00 .6838 .9000 .6325 .90 1.00 2.50 .6019 .9000 .6280 .90 1.00 3.00 .5358 .9000 .6463 .90 1.50 .25 .9999 .9000 428.3866 .90 1.50 .50 .9938 .9000 8.0723 .90 1.50 1.00 .9322 .9000 1.4482 .90 1.50 1.50 .8435 .9000 .9252 .90 1.50 2.00 .7586 .9000 .7883 .90 1.50 2.50 .6847 .9000 .7461 .90 1.50 3.00 .6218 .9000 .7400 .99 .75 .25 1.0000 .9900 164255.717 .99 .75 .50 .9999 .9900 34.8318 .99 .75 1.00 .9867 .9900 .7525 .99 .75 1.50 .9412 .9900 .2568 .99 .75 2.00 .8779 .9900 .1656 .99 .75 2.50 .8116 .9900 .1348 .99 .75 3.00 .7492 .9900 .1220 .99 1.00 .25 1.0000 .9900 249999.999 .99 1.00 .50 .9999 .9900 50.0000 .99 1.00 1.00 .9900 .9900 1.0000 .99 1.00 1.50 .9536 .9900 .3232 .99 1.00 2.00 .9000 .9900 .2000 .99 1.00 2.50 .8415 .9900 .1577 .99 1.00 3.00 .7846 .9900 .1392 .99 1.50 .25 1.0000 .9900 428406.592 .99 1.50 .50 .9999 .9900 81.0536 .99 1.50 1.00 .9933 .9900 1.4950 .99 1.50 1.50 .9672 .9900 .4538 .99 1.50 2.00 .9260 .9900 .2669 .99 1.50 2.50 .8786 .9900 .2020 .99 1.50 3.00 .8302 .9900 .1724 ]) RANDIST_CHECK([cauchy], [a b], [cdf pdf], [dnl P a b x cdf pdf .01 -5.00 .50 -20.9103 .0100 .0006 .01 -5.00 .75 -28.8654 .0100 .0004 .01 -5.00 1.00 -36.8205 .0100 .0003 .01 -5.00 1.25 -44.7756 .0100 .0003 .01 -5.00 1.50 -52.7308 .0100 .0002 .01 -4.00 .50 -19.9103 .0100 .0006 .01 -4.00 .75 -27.8654 .0100 .0004 .01 -4.00 1.00 -35.8205 .0100 .0003 .01 -4.00 1.25 -43.7756 .0100 .0003 .01 -4.00 1.50 -51.7308 .0100 .0002 .01 -3.00 .50 -18.9103 .0100 .0006 .01 -3.00 .75 -26.8654 .0100 .0004 .01 -3.00 1.00 -34.8205 .0100 .0003 .01 -3.00 1.25 -42.7756 .0100 .0003 .01 -3.00 1.50 -50.7308 .0100 .0002 .01 -2.00 .50 -17.9103 .0100 .0006 .01 -2.00 .75 -25.8654 .0100 .0004 .01 -2.00 1.00 -33.8205 .0100 .0003 .01 -2.00 1.25 -41.7756 .0100 .0003 .01 -2.00 1.50 -49.7308 .0100 .0002 .01 -1.00 .50 -16.9103 .0100 .0006 .01 -1.00 .75 -24.8654 .0100 .0004 .01 -1.00 1.00 -32.8205 .0100 .0003 .01 -1.00 1.25 -40.7756 .0100 .0003 .01 -1.00 1.50 -48.7308 .0100 .0002 .01 .00 .50 -15.9103 .0100 .0006 .01 .00 .75 -23.8654 .0100 .0004 .01 .00 1.00 -31.8205 .0100 .0003 .01 .00 1.25 -39.7756 .0100 .0003 .01 .00 1.50 -47.7308 .0100 .0002 .01 1.00 .50 -14.9103 .0100 .0006 .01 1.00 .75 -22.8654 .0100 .0004 .01 1.00 1.00 -30.8205 .0100 .0003 .01 1.00 1.25 -38.7756 .0100 .0003 .01 1.00 1.50 -46.7308 .0100 .0002 .01 2.00 .50 -13.9103 .0100 .0006 .01 2.00 .75 -21.8654 .0100 .0004 .01 2.00 1.00 -29.8205 .0100 .0003 .01 2.00 1.25 -37.7756 .0100 .0003 .01 2.00 1.50 -45.7308 .0100 .0002 .01 3.00 .50 -12.9103 .0100 .0006 .01 3.00 .75 -20.8654 .0100 .0004 .01 3.00 1.00 -28.8205 .0100 .0003 .01 3.00 1.25 -36.7756 .0100 .0003 .01 3.00 1.50 -44.7308 .0100 .0002 .01 4.00 .50 -11.9103 .0100 .0006 .01 4.00 .75 -19.8654 .0100 .0004 .01 4.00 1.00 -27.8205 .0100 .0003 .01 4.00 1.25 -35.7756 .0100 .0003 .01 4.00 1.50 -43.7308 .0100 .0002 .01 5.00 .50 -10.9103 .0100 .0006 .01 5.00 .75 -18.8654 .0100 .0004 .01 5.00 1.00 -26.8205 .0100 .0003 .01 5.00 1.25 -34.7756 .0100 .0003 .01 5.00 1.50 -42.7308 .0100 .0002 .10 -5.00 .50 -6.5388 .1000 .0608 .10 -5.00 .75 -7.3083 .1000 .0405 .10 -5.00 1.00 -8.0777 .1000 .0304 .10 -5.00 1.25 -8.8471 .1000 .0243 .10 -5.00 1.50 -9.6165 .1000 .0203 .10 -4.00 .50 -5.5388 .1000 .0608 .10 -4.00 .75 -6.3083 .1000 .0405 .10 -4.00 1.00 -7.0777 .1000 .0304 .10 -4.00 1.25 -7.8471 .1000 .0243 .10 -4.00 1.50 -8.6165 .1000 .0203 .10 -3.00 .50 -4.5388 .1000 .0608 .10 -3.00 .75 -5.3083 .1000 .0405 .10 -3.00 1.00 -6.0777 .1000 .0304 .10 -3.00 1.25 -6.8471 .1000 .0243 .10 -3.00 1.50 -7.6165 .1000 .0203 .10 -2.00 .50 -3.5388 .1000 .0608 .10 -2.00 .75 -4.3083 .1000 .0405 .10 -2.00 1.00 -5.0777 .1000 .0304 .10 -2.00 1.25 -5.8471 .1000 .0243 .10 -2.00 1.50 -6.6165 .1000 .0203 .10 -1.00 .50 -2.5388 .1000 .0608 .10 -1.00 .75 -3.3083 .1000 .0405 .10 -1.00 1.00 -4.0777 .1000 .0304 .10 -1.00 1.25 -4.8471 .1000 .0243 .10 -1.00 1.50 -5.6165 .1000 .0203 .10 .00 .50 -1.5388 .1000 .0608 .10 .00 .75 -2.3083 .1000 .0405 .10 .00 1.00 -3.0777 .1000 .0304 .10 .00 1.25 -3.8471 .1000 .0243 .10 .00 1.50 -4.6165 .1000 .0203 .10 1.00 .50 -.5388 .1000 .0608 .10 1.00 .75 -1.3083 .1000 .0405 .10 1.00 1.00 -2.0777 .1000 .0304 .10 1.00 1.25 -2.8471 .1000 .0243 .10 1.00 1.50 -3.6165 .1000 .0203 .10 2.00 .50 .4612 .1000 .0608 .10 2.00 .75 -.3083 .1000 .0405 .10 2.00 1.00 -1.0777 .1000 .0304 .10 2.00 1.25 -1.8471 .1000 .0243 .10 2.00 1.50 -2.6165 .1000 .0203 .10 3.00 .50 1.4612 .1000 .0608 .10 3.00 .75 .6917 .1000 .0405 .10 3.00 1.00 -.0777 .1000 .0304 .10 3.00 1.25 -.8471 .1000 .0243 .10 3.00 1.50 -1.6165 .1000 .0203 .10 4.00 .50 2.4612 .1000 .0608 .10 4.00 .75 1.6917 .1000 .0405 .10 4.00 1.00 .9223 .1000 .0304 .10 4.00 1.25 .1529 .1000 .0243 .10 4.00 1.50 -.6165 .1000 .0203 .10 5.00 .50 3.4612 .1000 .0608 .10 5.00 .75 2.6917 .1000 .0405 .10 5.00 1.00 1.9223 .1000 .0304 .10 5.00 1.25 1.1529 .1000 .0243 .10 5.00 1.50 .3835 .1000 .0203 .20 -5.00 .50 -5.6882 .2000 .2199 .20 -5.00 .75 -6.0323 .2000 .1466 .20 -5.00 1.00 -6.3764 .2000 .1100 .20 -5.00 1.25 -6.7205 .2000 .0880 .20 -5.00 1.50 -7.0646 .2000 .0733 .20 -4.00 .50 -4.6882 .2000 .2199 .20 -4.00 .75 -5.0323 .2000 .1466 .20 -4.00 1.00 -5.3764 .2000 .1100 .20 -4.00 1.25 -5.7205 .2000 .0880 .20 -4.00 1.50 -6.0646 .2000 .0733 .20 -3.00 .50 -3.6882 .2000 .2199 .20 -3.00 .75 -4.0323 .2000 .1466 .20 -3.00 1.00 -4.3764 .2000 .1100 .20 -3.00 1.25 -4.7205 .2000 .0880 .20 -3.00 1.50 -5.0646 .2000 .0733 .20 -2.00 .50 -2.6882 .2000 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