tests/formats/float-format.sh

   1 #! /bin/sh
   2
   3 # Tests floating-point format conversions.
   4
   5 TEMPDIR=/tmp/pspp-tst-$$
   6
   7 # ensure that top_builddir  are absolute
   8 if [ -z "$top_builddir" ] ; then top_builddir=. ; fi
   9 if [ -z "$top_srcdir" ] ; then top_srcdir=. ; fi
  10 top_builddir=`cd $top_builddir; pwd`
  11 PSPP=$top_builddir/src/ui/terminal/pspp
  12
  13 # ensure that top_srcdir is absolute
  14 top_srcdir=`cd $top_srcdir; pwd`
  15
  16 STAT_CONFIG_PATH=$top_srcdir/config
  17 export STAT_CONFIG_PATH
  18
  19
  20 cleanup()
  21 {
  22      cd /
  23      rm -rf $TEMPDIR
  24 }
  25
  26
  27 fail()
  28 {
  29     echo $activity
  30     echo FAILED
  31     cleanup;
  32     exit 1;
  33 }
  34
  35
  36 no_result()
  37 {
  38     echo $activity
  39     echo NO RESULT;
  40     cleanup;
  41     exit 2;
  42 }
  43
  44 pass()
  45 {
  46     cleanup;
  47     exit 0;
  48 }
  49
  50 mkdir -p $TEMPDIR
  51
  52 cd $TEMPDIR
  53 activity="create test program"
  54 sed -n \
  55     -e 's/#.*//' \
  56     -e 's/^[    ]*//' \
  57     -e 's/[     ]*$//' \
  58     -e '/^$/d' \
  59     -e 's/^\(.*\)$/DEBUG FLOAT FORMAT \1./p' \
  60     > $TEMPDIR/float-format.pspp <<'EOF'
  61 # Each of the tests below checks that conversion between
  62 # floating-point formats works correctly.  Comparisons that use ==
  63 # require that conversion from any format on the line to any other
  64 # format on the line work losslessly.  Comparisons that use => only
  65 # check that conversions work losslessly in the given direction.
  66
  67 # Key to format names:
  68 # isl: IEEE single-precision, little endian
  69 # isb: IEEE single-precision, big endian
  70 # idl: IEEE double-precision, little endian
  71 # idb: IEEE double-precision, big endian
  72 # vf: VAX F
  73 # vd: VAX D
  74 # vg: VAX G
  75 # zs: Z architecture short
  76 # zl: Z architecture long
  77 # x: hexadecimal digits
  78
  79 # IEEE special values.
  80  0 == isb(x'00000000')
  81 -0 == isb(x'80000000')
  82 x('Infinity') == isb(x'7f800000')
  83 x('-Infinity') == isb(x'ff800000')
  84 x('NaN:') => isb(x'7f800001')           # NaN requires nonzero fraction.
  85 x('NaN:e000000000000000') == isb(x'7ff00000') == idb(x'7ffe000000000000')
  86 x('NaN:5a5a5e0000000000') == isb(x'7fad2d2f') == idb(x'7ff5a5a5e0000000')
  87 x('NaN:975612abcdef4000') == idb(x'7ff975612abcdef4')
  88 x('-NaN:e000000000000000') == isb(x'fff00000') == idb(x'fffe000000000000')
  89 x('-NaN:5a5a5e0000000000') == isb(x'ffad2d2f') == idb(x'fff5a5a5e0000000')
  90 x('-NaN:975612abcdef4000') == idb(x'fff975612abcdef4')
  91
  92 # PSPP special values.
  93 x('Missing') == isb(x'ff7fffff') == idb(x'ffefffffffffffff') == isl(x'ffff7fff') == idl(x'ffffffffffffefff') == vf(x'ffffffff') == vd(x'ffffffffffffffff') == vg(x'ffffffffffffffff') == zs(x'ffffffff') == zl(x'ffffffffffffffff')
  94 x('Lowest') == isb(x'ff7ffffe') == idb(x'ffeffffffffffffe') == isl(x'feff7fff') == idl(x'feffffffffffefff') == vf(x'fffffeff') == vd(x'fffffeffffffffff') == vg(x'fffffeffffffffff') == zs(x'fffffffe') == zl(x'fffffffffffffffe')
  95 x('Highest') == isb(x'7f7fffff') == idb(x'7fefffffffffffff') == isl(x'ffff7f7f') == idl(x'ffffffffffffef7f') == vf(x'ff7fffff') == vd(x'ffffffffff7fffff') == vg(x'ffffffffff7fffff') == zs(x'7fffffff') == zl(x'7fffffffffffffff')
  96
  97 # From Wikipedia.
  98 0.15625 == isb(b'00111110001000000000000000000000')
  99 -118.625 == isb(b'11000010111011010100000000000000')
 100
 101 # http://www.psc.edu/general/software/packages/ieee/ieee.html
 102 x('NaN:0400000000000000') == isb(b'01111111100000100000000000000000')
 103 x('-NaN:2225540000000000') == isb(b'11111111100100010001001010101010')
 104 2 == isb(b'01000000000000000000000000000000')
 105 6.5 == isb(b'01000000110100000000000000000000')
 106 -6.5 == isb(b'11000000110100000000000000000000')
 107 x('.4p-124') == isb(b'00000000100000000000000000000000')
 108 x('.2p-124') == isb(b'00000000010000000000000000000000')
 109
 110 # Using converter at http://babbage.cs.qc.edu/IEEE-754/Decimal.html
 111 # plus Emacs 'calc' to convert decimal to hexadecimal
 112 x('.7b74bc6a7ef9db23p8') => isb(x'42f6e979')            # 123.456
 113 x('.7b74bc6a7ef9db23p8') => idb(x'405edd2f1a9fbe77')
 114 x('.817427d2d4642004p-12') => isb(x'39017428')          # .0001234567
 115 x('.817427d2d4642004p-12') => idb(x'3f202e84fa5a8c84')
 116 x('.446c3b15f9926688p168') => isb(x'7f800000')          # 1e50; overflow
 117 x('.446c3b15f9926688p168') => idb(x'4a511b0ec57e649a')
 118
 119 # From multiple editions of the z/Architecture Principles of Operation
 120 # manual.
 121               1.0 == zs(x'41100000') == isb(x'3f800000')
 122               0.5 == zs(x'40800000') == isb(x'3f000000')
 123        x('.4p-4') == zs(x'3f400000') == isb(x'3c800000')
 124                 0 == zs(x'00000000') == isb(x'00000000')
 125                -0 == zs(x'80000000') == isb(x'80000000')
 126               -15 == zs(x'c1f00000') == isb(x'c1700000')
 127 # x('.ffffffp252') == zs(x'7fffffff')
 128       x('.3b4p8') == zs(x'423b4000')
 129      x('.1p-256') == zs(x'00100000')
 130      x('.4p-124') == zs(x'21400000') == isb(x'00800000')
 131      x('.8p-148') == zs(x'1b800000') == isb(x'00000001')
 132 # x('.ffffffp128') == zs(x'60ffffff') == isb(x'7f7fffff')
 133      x('.1p-256') == zs(x'00100000')
 134      x('.1p-256') => isb(x'00000000')              # Underflow to zero.
 135  x('.ffffffp248') == zs(x'7effffff')
 136  x('.ffffffp248') => isb(x'7f800000')              # Overflow to +Infinity.
 137
 138             x('.4p-1020') => zl(x'0000000000000000')     # Underflow to zero.
 139             x('.4p-1020') == idb(x'0010000000000000')
 140             x('.4p-1072') => zl(x'0000000000000000')     # Underflow to zero.
 141             x('.4p-1072') => idb(x'0000000000000001')
 142 x('.fffffffffffff8p1024') => zl(x'7fffffffffffffff')     # Overflow to maxval.
 143 x('.fffffffffffff8p1024') => idb(x'7fefffffffffffff')
 144             x('.1p-256') == zl(x'0010000000000000') == idb(x'2fb0000000000000')
 145  x('.ffffffffffffffp248') == zl(x'7effffffffffffff')
 146  x('.ffffffffffffffp248') => idb(x'4f70000000000000')   # Loses precision.
 147 EOF
 148 if [ $? -ne 0 ] ; then no_result ; fi
 149
 150 activity="run program"
 151 $SUPERVISOR $PSPP --testing-mode -o raw-ascii $TEMPDIR/float-format.pspp
 152 if [ $? -ne 0 ] ; then fail ; fi
 153
 154 pass