diff options
Diffstat (limited to 'math')
| -rw-r--r-- | math/Makefile | 3 | ||||
| -rw-r--r-- | math/auto-libm-test-in | 27 | ||||
| -rw-r--r-- | math/auto-libm-test-out | 225 | ||||
| -rw-r--r-- | math/gen-auto-libm-tests.c | 1626 | ||||
| -rwxr-xr-x | math/gen-libm-test.pl | 185 | ||||
| -rw-r--r-- | math/libm-test.inc | 63 |
6 files changed, 2110 insertions, 19 deletions
diff --git a/math/Makefile b/math/Makefile index fcccab2051..d178789fb5 100644 --- a/math/Makefile +++ b/math/Makefile @@ -112,7 +112,8 @@ ulps-file = $(firstword $(wildcard $(sysdirs:%=%/libm-test-ulps))) $(addprefix $(objpfx), $(libm-tests-generated)): $(objpfx)libm-test.stmp -$(objpfx)libm-test.stmp: $(ulps-file) libm-test.inc gen-libm-test.pl +$(objpfx)libm-test.stmp: $(ulps-file) libm-test.inc gen-libm-test.pl \ + auto-libm-test-out $(make-target-directory) $(PERL) gen-libm-test.pl -u $< -o "$(objpfx)" @echo > $@ diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in new file mode 100644 index 0000000000..5dc790c692 --- /dev/null +++ b/math/auto-libm-test-in @@ -0,0 +1,27 @@ +# libm test inputs for gen-auto-libm-tests.c. +# Copyright (C) 1997-2013 Free Software Foundation, Inc. +# This file is part of the GNU C Library. +# +# The GNU C Library is free software; you can redistribute it and/or +# modify it under the terms of the GNU Lesser General Public +# License as published by the Free Software Foundation; either +# version 2.1 of the License, or (at your option) any later version. +# +# The GNU C Library is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY; without even the implied warranty of +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +# Lesser General Public License for more details. +# +# You should have received a copy of the GNU Lesser General Public +# License along with the GNU C Library; if not, see +# <http://www.gnu.org/licenses/>. */ + +sqrt 0 +sqrt -0 +sqrt 2209 +sqrt 4 +sqrt 2 +sqrt 0.25 +sqrt 6642.25 +sqrt 15190.5625 +sqrt 0.75 diff --git a/math/auto-libm-test-out b/math/auto-libm-test-out new file mode 100644 index 0000000000..bdb6bdc8b8 --- /dev/null +++ b/math/auto-libm-test-out @@ -0,0 +1,225 @@ +sqrt 0 += sqrt downward flt-32 0x0p+0f : 0x0p+0f : += sqrt tonearest flt-32 0x0p+0f : 0x0p+0f : += sqrt towardzero flt-32 0x0p+0f : 0x0p+0f : += sqrt upward flt-32 0x0p+0f : 0x0p+0f : += sqrt downward dbl-64 0x0p+0 : 0x0p+0 : += sqrt tonearest dbl-64 0x0p+0 : 0x0p+0 : += sqrt towardzero dbl-64 0x0p+0 : 0x0p+0 : += sqrt upward dbl-64 0x0p+0 : 0x0p+0 : += sqrt downward ldbl-96-intel 0x0p+0L : 0x0p+0L : += sqrt tonearest ldbl-96-intel 0x0p+0L : 0x0p+0L : += sqrt towardzero ldbl-96-intel 0x0p+0L : 0x0p+0L : += sqrt upward ldbl-96-intel 0x0p+0L : 0x0p+0L : += sqrt downward ldbl-96-m68k 0x0p+0L : 0x0p+0L : += sqrt tonearest ldbl-96-m68k 0x0p+0L : 0x0p+0L : += sqrt towardzero ldbl-96-m68k 0x0p+0L : 0x0p+0L : += sqrt upward ldbl-96-m68k 0x0p+0L : 0x0p+0L : += sqrt downward ldbl-128 0x0p+0L : 0x0p+0L : += sqrt tonearest ldbl-128 0x0p+0L : 0x0p+0L : += sqrt towardzero ldbl-128 0x0p+0L : 0x0p+0L : += sqrt upward ldbl-128 0x0p+0L : 0x0p+0L : += sqrt downward ldbl-128ibm 0x0p+0L : 0x0p+0L : += sqrt tonearest ldbl-128ibm 0x0p+0L : 0x0p+0L : += sqrt towardzero ldbl-128ibm 0x0p+0L : 0x0p+0L : += sqrt upward ldbl-128ibm 0x0p+0L : 0x0p+0L : +sqrt -0 += sqrt downward flt-32 -0x0p+0f : -0x0p+0f : += sqrt tonearest flt-32 -0x0p+0f : -0x0p+0f : += sqrt towardzero flt-32 -0x0p+0f : -0x0p+0f : += sqrt upward flt-32 -0x0p+0f : -0x0p+0f : += sqrt downward dbl-64 -0x0p+0 : -0x0p+0 : += sqrt tonearest dbl-64 -0x0p+0 : -0x0p+0 : += sqrt towardzero dbl-64 -0x0p+0 : -0x0p+0 : += sqrt upward dbl-64 -0x0p+0 : -0x0p+0 : += sqrt downward ldbl-96-intel -0x0p+0L : -0x0p+0L : += sqrt tonearest ldbl-96-intel -0x0p+0L : -0x0p+0L : += sqrt towardzero ldbl-96-intel -0x0p+0L : -0x0p+0L : += sqrt upward ldbl-96-intel -0x0p+0L : -0x0p+0L : += sqrt downward ldbl-96-m68k -0x0p+0L : -0x0p+0L : += sqrt tonearest ldbl-96-m68k -0x0p+0L : -0x0p+0L : += sqrt towardzero ldbl-96-m68k -0x0p+0L : -0x0p+0L : += sqrt upward ldbl-96-m68k -0x0p+0L : -0x0p+0L : += sqrt downward ldbl-128 -0x0p+0L : -0x0p+0L : += sqrt tonearest ldbl-128 -0x0p+0L : -0x0p+0L : += sqrt towardzero ldbl-128 -0x0p+0L : -0x0p+0L : += sqrt upward ldbl-128 -0x0p+0L : -0x0p+0L : += sqrt downward ldbl-128ibm -0x0p+0L : -0x0p+0L : += sqrt tonearest ldbl-128ibm -0x0p+0L : -0x0p+0L : += sqrt towardzero ldbl-128ibm -0x0p+0L : -0x0p+0L : += sqrt upward ldbl-128ibm -0x0p+0L : -0x0p+0L : +sqrt 2209 += sqrt downward flt-32 0x8.a1p+8f : 0x2.fp+4f : += sqrt tonearest flt-32 0x8.a1p+8f : 0x2.fp+4f : += sqrt towardzero flt-32 0x8.a1p+8f : 0x2.fp+4f : += sqrt upward flt-32 0x8.a1p+8f : 0x2.fp+4f : += sqrt downward dbl-64 0x8.a1p+8 : 0x2.fp+4 : += sqrt tonearest dbl-64 0x8.a1p+8 : 0x2.fp+4 : += sqrt towardzero dbl-64 0x8.a1p+8 : 0x2.fp+4 : += sqrt upward dbl-64 0x8.a1p+8 : 0x2.fp+4 : += sqrt downward ldbl-96-intel 0x8.a1p+8L : 0x2.fp+4L : += sqrt tonearest ldbl-96-intel 0x8.a1p+8L : 0x2.fp+4L : += sqrt towardzero ldbl-96-intel 0x8.a1p+8L : 0x2.fp+4L : += sqrt upward ldbl-96-intel 0x8.a1p+8L : 0x2.fp+4L : += sqrt downward ldbl-96-m68k 0x8.a1p+8L : 0x2.fp+4L : += sqrt tonearest ldbl-96-m68k 0x8.a1p+8L : 0x2.fp+4L : += sqrt towardzero ldbl-96-m68k 0x8.a1p+8L : 0x2.fp+4L : += sqrt upward ldbl-96-m68k 0x8.a1p+8L : 0x2.fp+4L : += sqrt downward ldbl-128 0x8.a1p+8L : 0x2.fp+4L : += sqrt tonearest ldbl-128 0x8.a1p+8L : 0x2.fp+4L : += sqrt towardzero ldbl-128 0x8.a1p+8L : 0x2.fp+4L : += sqrt upward ldbl-128 0x8.a1p+8L : 0x2.fp+4L : += sqrt downward ldbl-128ibm 0x8.a1p+8L : 0x2.fp+4L : += sqrt tonearest ldbl-128ibm 0x8.a1p+8L : 0x2.fp+4L : += sqrt towardzero ldbl-128ibm 0x8.a1p+8L : 0x2.fp+4L : += sqrt upward ldbl-128ibm 0x8.a1p+8L : 0x2.fp+4L : +sqrt 4 += sqrt downward flt-32 0x4p+0f : 0x2p+0f : += sqrt tonearest flt-32 0x4p+0f : 0x2p+0f : += sqrt towardzero flt-32 0x4p+0f : 0x2p+0f : += sqrt upward flt-32 0x4p+0f : 0x2p+0f : += sqrt downward dbl-64 0x4p+0 : 0x2p+0 : += sqrt tonearest dbl-64 0x4p+0 : 0x2p+0 : += sqrt towardzero dbl-64 0x4p+0 : 0x2p+0 : += sqrt upward dbl-64 0x4p+0 : 0x2p+0 : += sqrt downward ldbl-96-intel 0x4p+0L : 0x2p+0L : += sqrt tonearest ldbl-96-intel 0x4p+0L : 0x2p+0L : += sqrt towardzero ldbl-96-intel 0x4p+0L : 0x2p+0L : += sqrt upward ldbl-96-intel 0x4p+0L : 0x2p+0L : += sqrt downward ldbl-96-m68k 0x4p+0L : 0x2p+0L : += sqrt tonearest ldbl-96-m68k 0x4p+0L : 0x2p+0L : += sqrt towardzero ldbl-96-m68k 0x4p+0L : 0x2p+0L : += sqrt upward ldbl-96-m68k 0x4p+0L : 0x2p+0L : += sqrt downward ldbl-128 0x4p+0L : 0x2p+0L : += sqrt tonearest ldbl-128 0x4p+0L : 0x2p+0L : += sqrt towardzero ldbl-128 0x4p+0L : 0x2p+0L : += sqrt upward ldbl-128 0x4p+0L : 0x2p+0L : += sqrt downward ldbl-128ibm 0x4p+0L : 0x2p+0L : += sqrt tonearest ldbl-128ibm 0x4p+0L : 0x2p+0L : += sqrt towardzero ldbl-128ibm 0x4p+0L : 0x2p+0L : += sqrt upward ldbl-128ibm 0x4p+0L : 0x2p+0L : +sqrt 2 += sqrt downward flt-32 0x2p+0f : 0x1.6a09e6p+0f : inexact += sqrt tonearest flt-32 0x2p+0f : 0x1.6a09e6p+0f : inexact += sqrt towardzero flt-32 0x2p+0f : 0x1.6a09e6p+0f : inexact += sqrt upward flt-32 0x2p+0f : 0x1.6a09e8p+0f : inexact += sqrt downward dbl-64 0x2p+0 : 0x1.6a09e667f3bccp+0 : inexact += sqrt tonearest dbl-64 0x2p+0 : 0x1.6a09e667f3bcdp+0 : inexact += sqrt towardzero dbl-64 0x2p+0 : 0x1.6a09e667f3bccp+0 : inexact += sqrt upward dbl-64 0x2p+0 : 0x1.6a09e667f3bcdp+0 : inexact += sqrt downward ldbl-96-intel 0x2p+0L : 0x1.6a09e667f3bcc908p+0L : inexact += sqrt tonearest ldbl-96-intel 0x2p+0L : 0x1.6a09e667f3bcc908p+0L : inexact += sqrt towardzero ldbl-96-intel 0x2p+0L : 0x1.6a09e667f3bcc908p+0L : inexact += sqrt upward ldbl-96-intel 0x2p+0L : 0x1.6a09e667f3bcc90ap+0L : inexact += sqrt downward ldbl-96-m68k 0x2p+0L : 0x1.6a09e667f3bcc908p+0L : inexact += sqrt tonearest ldbl-96-m68k 0x2p+0L : 0x1.6a09e667f3bcc908p+0L : inexact += sqrt towardzero ldbl-96-m68k 0x2p+0L : 0x1.6a09e667f3bcc908p+0L : inexact += sqrt upward ldbl-96-m68k 0x2p+0L : 0x1.6a09e667f3bcc90ap+0L : inexact += sqrt downward ldbl-128 0x2p+0L : 0x1.6a09e667f3bcc908b2fb1366ea95p+0L : inexact += sqrt tonearest ldbl-128 0x2p+0L : 0x1.6a09e667f3bcc908b2fb1366ea95p+0L : inexact += sqrt towardzero ldbl-128 0x2p+0L : 0x1.6a09e667f3bcc908b2fb1366ea95p+0L : inexact += sqrt upward ldbl-128 0x2p+0L : 0x1.6a09e667f3bcc908b2fb1366ea96p+0L : inexact += sqrt downward ldbl-128ibm 0x2p+0L : 0x1.6a09e667f3bcc908b2fb1366ea8p+0L : inexact += sqrt tonearest ldbl-128ibm 0x2p+0L : 0x1.6a09e667f3bcc908b2fb1366ea8p+0L : inexact += sqrt towardzero ldbl-128ibm 0x2p+0L : 0x1.6a09e667f3bcc908b2fb1366ea8p+0L : inexact += sqrt upward ldbl-128ibm 0x2p+0L : 0x1.6a09e667f3bcc908b2fb1366ebp+0L : inexact +sqrt 0.25 += sqrt downward flt-32 0x4p-4f : 0x8p-4f : += sqrt tonearest flt-32 0x4p-4f : 0x8p-4f : += sqrt towardzero flt-32 0x4p-4f : 0x8p-4f : += sqrt upward flt-32 0x4p-4f : 0x8p-4f : += sqrt downward dbl-64 0x4p-4 : 0x8p-4 : += sqrt tonearest dbl-64 0x4p-4 : 0x8p-4 : += sqrt towardzero dbl-64 0x4p-4 : 0x8p-4 : += sqrt upward dbl-64 0x4p-4 : 0x8p-4 : += sqrt downward ldbl-96-intel 0x4p-4L : 0x8p-4L : += sqrt tonearest ldbl-96-intel 0x4p-4L : 0x8p-4L : += sqrt towardzero ldbl-96-intel 0x4p-4L : 0x8p-4L : += sqrt upward ldbl-96-intel 0x4p-4L : 0x8p-4L : += sqrt downward ldbl-96-m68k 0x4p-4L : 0x8p-4L : += sqrt tonearest ldbl-96-m68k 0x4p-4L : 0x8p-4L : += sqrt towardzero ldbl-96-m68k 0x4p-4L : 0x8p-4L : += sqrt upward ldbl-96-m68k 0x4p-4L : 0x8p-4L : += sqrt downward ldbl-128 0x4p-4L : 0x8p-4L : += sqrt tonearest ldbl-128 0x4p-4L : 0x8p-4L : += sqrt towardzero ldbl-128 0x4p-4L : 0x8p-4L : += sqrt upward ldbl-128 0x4p-4L : 0x8p-4L : += sqrt downward ldbl-128ibm 0x4p-4L : 0x8p-4L : += sqrt tonearest ldbl-128ibm 0x4p-4L : 0x8p-4L : += sqrt towardzero ldbl-128ibm 0x4p-4L : 0x8p-4L : += sqrt upward ldbl-128ibm 0x4p-4L : 0x8p-4L : +sqrt 6642.25 += sqrt downward flt-32 0x1.9f24p+12f : 0x5.18p+4f : += sqrt tonearest flt-32 0x1.9f24p+12f : 0x5.18p+4f : += sqrt towardzero flt-32 0x1.9f24p+12f : 0x5.18p+4f : += sqrt upward flt-32 0x1.9f24p+12f : 0x5.18p+4f : += sqrt downward dbl-64 0x1.9f24p+12 : 0x5.18p+4 : += sqrt tonearest dbl-64 0x1.9f24p+12 : 0x5.18p+4 : += sqrt towardzero dbl-64 0x1.9f24p+12 : 0x5.18p+4 : += sqrt upward dbl-64 0x1.9f24p+12 : 0x5.18p+4 : += sqrt downward ldbl-96-intel 0x1.9f24p+12L : 0x5.18p+4L : += sqrt tonearest ldbl-96-intel 0x1.9f24p+12L : 0x5.18p+4L : += sqrt towardzero ldbl-96-intel 0x1.9f24p+12L : 0x5.18p+4L : += sqrt upward ldbl-96-intel 0x1.9f24p+12L : 0x5.18p+4L : += sqrt downward ldbl-96-m68k 0x1.9f24p+12L : 0x5.18p+4L : += sqrt tonearest ldbl-96-m68k 0x1.9f24p+12L : 0x5.18p+4L : += sqrt towardzero ldbl-96-m68k 0x1.9f24p+12L : 0x5.18p+4L : += sqrt upward ldbl-96-m68k 0x1.9f24p+12L : 0x5.18p+4L : += sqrt downward ldbl-128 0x1.9f24p+12L : 0x5.18p+4L : += sqrt tonearest ldbl-128 0x1.9f24p+12L : 0x5.18p+4L : += sqrt towardzero ldbl-128 0x1.9f24p+12L : 0x5.18p+4L : += sqrt upward ldbl-128 0x1.9f24p+12L : 0x5.18p+4L : += sqrt downward ldbl-128ibm 0x1.9f24p+12L : 0x5.18p+4L : += sqrt tonearest ldbl-128ibm 0x1.9f24p+12L : 0x5.18p+4L : += sqrt towardzero ldbl-128ibm 0x1.9f24p+12L : 0x5.18p+4L : += sqrt upward ldbl-128ibm 0x1.9f24p+12L : 0x5.18p+4L : +sqrt 15190.5625 += sqrt downward flt-32 0x3.b569p+12f : 0x7.b4p+4f : += sqrt tonearest flt-32 0x3.b569p+12f : 0x7.b4p+4f : += sqrt towardzero flt-32 0x3.b569p+12f : 0x7.b4p+4f : += sqrt upward flt-32 0x3.b569p+12f : 0x7.b4p+4f : += sqrt downward dbl-64 0x3.b569p+12 : 0x7.b4p+4 : += sqrt tonearest dbl-64 0x3.b569p+12 : 0x7.b4p+4 : += sqrt towardzero dbl-64 0x3.b569p+12 : 0x7.b4p+4 : += sqrt upward dbl-64 0x3.b569p+12 : 0x7.b4p+4 : += sqrt downward ldbl-96-intel 0x3.b569p+12L : 0x7.b4p+4L : += sqrt tonearest ldbl-96-intel 0x3.b569p+12L : 0x7.b4p+4L : += sqrt towardzero ldbl-96-intel 0x3.b569p+12L : 0x7.b4p+4L : += sqrt upward ldbl-96-intel 0x3.b569p+12L : 0x7.b4p+4L : += sqrt downward ldbl-96-m68k 0x3.b569p+12L : 0x7.b4p+4L : += sqrt tonearest ldbl-96-m68k 0x3.b569p+12L : 0x7.b4p+4L : += sqrt towardzero ldbl-96-m68k 0x3.b569p+12L : 0x7.b4p+4L : += sqrt upward ldbl-96-m68k 0x3.b569p+12L : 0x7.b4p+4L : += sqrt downward ldbl-128 0x3.b569p+12L : 0x7.b4p+4L : += sqrt tonearest ldbl-128 0x3.b569p+12L : 0x7.b4p+4L : += sqrt towardzero ldbl-128 0x3.b569p+12L : 0x7.b4p+4L : += sqrt upward ldbl-128 0x3.b569p+12L : 0x7.b4p+4L : += sqrt downward ldbl-128ibm 0x3.b569p+12L : 0x7.b4p+4L : += sqrt tonearest ldbl-128ibm 0x3.b569p+12L : 0x7.b4p+4L : += sqrt towardzero ldbl-128ibm 0x3.b569p+12L : 0x7.b4p+4L : += sqrt upward ldbl-128ibm 0x3.b569p+12L : 0x7.b4p+4L : +sqrt 0.75 += sqrt downward flt-32 0xcp-4f : 0xd.db3d7p-4f : inexact += sqrt tonearest flt-32 0xcp-4f : 0xd.db3d7p-4f : inexact += sqrt towardzero flt-32 0xcp-4f : 0xd.db3d7p-4f : inexact += sqrt upward flt-32 0xcp-4f : 0xd.db3d8p-4f : inexact += sqrt downward dbl-64 0xcp-4 : 0xd.db3d742c2655p-4 : inexact += sqrt tonearest dbl-64 0xcp-4 : 0xd.db3d742c2655p-4 : inexact += sqrt towardzero dbl-64 0xcp-4 : 0xd.db3d742c2655p-4 : inexact += sqrt upward dbl-64 0xcp-4 : 0xd.db3d742c26558p-4 : inexact += sqrt downward ldbl-96-intel 0xcp-4L : 0xd.db3d742c265539dp-4L : inexact += sqrt tonearest ldbl-96-intel 0xcp-4L : 0xd.db3d742c265539ep-4L : inexact += sqrt towardzero ldbl-96-intel 0xcp-4L : 0xd.db3d742c265539dp-4L : inexact += sqrt upward ldbl-96-intel 0xcp-4L : 0xd.db3d742c265539ep-4L : inexact += sqrt downward ldbl-96-m68k 0xcp-4L : 0xd.db3d742c265539dp-4L : inexact += sqrt tonearest ldbl-96-m68k 0xcp-4L : 0xd.db3d742c265539ep-4L : inexact += sqrt towardzero ldbl-96-m68k 0xcp-4L : 0xd.db3d742c265539dp-4L : inexact += sqrt upward ldbl-96-m68k 0xcp-4L : 0xd.db3d742c265539ep-4L : inexact += sqrt downward ldbl-128 0xcp-4L : 0xd.db3d742c265539d92ba16b83c5cp-4L : inexact += sqrt tonearest ldbl-128 0xcp-4L : 0xd.db3d742c265539d92ba16b83c5cp-4L : inexact += sqrt towardzero ldbl-128 0xcp-4L : 0xd.db3d742c265539d92ba16b83c5cp-4L : inexact += sqrt upward ldbl-128 0xcp-4L : 0xd.db3d742c265539d92ba16b83c5c8p-4L : inexact += sqrt downward ldbl-128ibm 0xcp-4L : 0xd.db3d742c265539d92ba16b83c4p-4L : inexact += sqrt tonearest ldbl-128ibm 0xcp-4L : 0xd.db3d742c265539d92ba16b83c4p-4L : inexact += sqrt towardzero ldbl-128ibm 0xcp-4L : 0xd.db3d742c265539d92ba16b83c4p-4L : inexact += sqrt upward ldbl-128ibm 0xcp-4L : 0xd.db3d742c265539d92ba16b83c8p-4L : inexact diff --git a/math/gen-auto-libm-tests.c b/math/gen-auto-libm-tests.c new file mode 100644 index 0000000000..57053ad420 --- /dev/null +++ b/math/gen-auto-libm-tests.c @@ -0,0 +1,1626 @@ +/* Generate expected output for libm tests with MPFR and MPC. + Copyright (C) 2013 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +/* Compile this program as: + + gcc -std=gnu99 -O2 -Wall -Wextra gen-auto-libm-tests.c -lmpc -lmpfr -lgmp \ + -o gen-auto-libm-tests + + (use of current MPC and MPFR versions recommended) and run it as: + + gen-auto-libm-tests auto-libm-test-in auto-libm-test-out + + The input file auto-libm-test-in contains three kinds of lines: + + Lines beginning with "#" are comments, and are ignored, as are + empty lines. + + Other lines are test lines, of the form "function input1 input2 + ... [flag1 flag2 ...]". Inputs are either finite real numbers or + integers, depending on the function under test. Real numbers may + be in any form acceptable to mpfr_strtofr (base 0); integers in any + form acceptable to mpz_set_str (base 0). In addition, real numbers + may be certain special strings such as "pi", as listed in the + special_real_inputs array. + + Each flag is a flag name possibly followed by a series of + ":condition". Conditions may be any of the names of floating-point + formats in the floating_point_formats array, "long32" and "long64" + to indicate the number of bits in the "long" type, or other strings + for which libm-test.inc defines a TEST_COND_<condition> macro (with + "-"- changed to "_" in the condition name) evaluating to nonzero + when the condition is true and zero when the condition is false. + The meaning is that the flag applies to the test if all the listed + conditions are true. "flag:cond1:cond2 flag:cond3:cond4" means the + flag applies if ((cond1 && cond2) || (cond3 && cond4)). + + A real number specified as an input is considered to represent the + set of real numbers arising from rounding the given number in any + direction for any supported floating-point format; any roundings + that give infinity are ignored. Each input on a test line has all + the possible roundings considered independently. Each resulting + choice of the tuple of inputs to the function is ignored if the + mathematical result of the function involves a NaN or an exact + infinity, and is otherwise considered for each floating-point + format for which all those inputs are exactly representable. Thus + tests may result in "overflow", "underflow" and "inexact" + exceptions; "invalid" may arise only when the final result type is + an integer type and it is the conversion of a mathematically + defined finite result to integer type that results in that + exception. + + By default, it is assumed that "overflow" and "underflow" + exceptions should be correct, but that "inexact" exceptions should + only be correct for functions listed as exactly determined. For + such functions, "underflow" exceptions should respect whether the + machine has before-rounding or after-rounding tininess detection. + For other functions, it is considered that if the exact result is + somewhere between the greatest magnitude subnormal of a given sign + (exclusive) and the least magnitude normal of that sign + (inclusive), underflow exceptions are permitted but optional on all + machines, and they are also permitted but optional for smaller + subnormal exact results for functions that are not exactly + determined. errno setting is expected for overflow to infinity and + underflow to zero (for real functions), and for out-of-range + conversion of a finite result to integer type, and is considered + permitted but optional for all other cases where overflow + exceptions occur, and where underflow exceptions occur or are + permitted. In other cases (where no overflow or underflow is + permitted), errno is expected to be left unchanged. + + The flag "no-test-inline" indicates a test is disabled for inline + function testing; "xfail" indicates the test is disabled as + expected to produce incorrect results. Otherwise, test flags are + of the form "spurious-<exception>" and "missing-<exception>", for + any exception ("overflow", "underflow", "inexact", "invalid", + "divbyzero"), "spurious-errno" and "missing-errno", to indicate + when tests are expected to deviate from the exception and errno + settings corresponding to the mathematical results. "xfail", + "spurious-" and "missing-" flags should be accompanied by a comment + referring to an open bug in glibc Bugzilla. + + The output file auto-libm-test-out contains the test lines from + auto-libm-test-in, and, after the line for a given test, some + number of output test lines. An output test line is of the form "= + function rounding-mode format input1 input2 ... : output1 output2 + ... : flags". rounding-mode is "tonearest", "towardzero", "upward" + or "downward". format is a name from the floating_point_formats + array, possibly followed by a sequence of ":flag" for flags from + "long32", "long64", "before-rounding" and "after-rounding" (the + last two indicating tests where expectations for underflow + exceptions depend on how the architecture detects tininess). + Inputs and outputs are specified as hex floats with the required + suffix for the floating-point type, or plus_infty or minus_infty + for infinite expected results, or as integer constant expressions + (not necessarily with the right type) or IGNORE for integer inputs + and outputs. Flags are "no-test-inline", "xfail", "<exception>", + "<exception>-ok", "errno-<value>", "errno-<value>-ok", where + "<exception>" and "errno-<value>" are unconditional, indicating + that a correct result means the given exception should be raised or + errno should be set to the given value, and other settings may be + conditional or unconditional; "-ok" means not to test for the given + exception or errno value (whether because it was marked as possibly + missing or spurious, or because the calculation of correct results + indicated it was optional). */ + +#define _GNU_SOURCE + +#include <assert.h> +#include <ctype.h> +#include <errno.h> +#include <error.h> +#include <stdbool.h> +#include <stdint.h> +#include <stdio.h> +#include <stdlib.h> +#include <string.h> + +#include <gmp.h> +#include <mpfr.h> +#include <mpc.h> + +#define ARRAY_SIZE(A) (sizeof (A) / sizeof ((A)[0])) + +/* The supported floating-point formats. */ +typedef enum + { + fp_flt_32, + fp_dbl_64, + fp_ldbl_96_intel, + fp_ldbl_96_m68k, + fp_ldbl_128, + fp_ldbl_128ibm, + fp_num_formats, + fp_first_format = 0 + } fp_format; + +/* Structure describing a single floating-point format. */ +typedef struct +{ + /* The name of the format. */ + const char *name; + /* The suffix to use on floating-point constants with this + format. */ + const char *suffix; + /* A string for the largest normal value, or NULL for IEEE formats + where this can be determined automatically. */ + const char *max_string; + /* The number of mantissa bits. */ + int mant_dig; + /* The least N such that 2^N overflows. */ + int max_exp; + /* One more than the least N such that 2^N is normal. */ + int min_exp; + /* The largest normal value. */ + mpfr_t max; + /* The least positive normal value, 2^(MIN_EXP-1). */ + mpfr_t min; + /* The greatest positive subnormal value. */ + mpfr_t subnorm_max; + /* The least positive subnormal value, 2^(MIN_EXP-MANT_DIG). */ + mpfr_t subnorm_min; +} fp_format_desc; + +/* List of floating-point formats, in the same order as the fp_format + enumeration. */ +static fp_format_desc fp_formats[fp_num_formats] = + { + { "flt-32", "f", NULL, 24, 128, -125, {}, {}, {}, {} }, + { "dbl-64", "", NULL, 53, 1024, -1021, {}, {}, {}, {} }, + { "ldbl-96-intel", "L", NULL, 64, 16384, -16381, {}, {}, {}, {} }, + { "ldbl-96-m68k", "L", NULL, 64, 16384, -16382, {}, {}, {}, {} }, + { "ldbl-128", "L", NULL, 113, 16384, -16381, {}, {}, {}, {} }, + { "ldbl-128ibm", "L", "0x1.fffffffffffff7ffffffffffff8p+1023", + 106, 1024, -968, {}, {}, {}, {} }, + }; + +/* The supported rounding modes. */ +typedef enum + { + rm_downward, + rm_tonearest, + rm_towardzero, + rm_upward, + rm_num_modes, + rm_first_mode = 0 + } rounding_mode; + +/* Structure describing a single rounding mode. */ +typedef struct +{ + /* The name of the rounding mode. */ + const char *name; + /* The MPFR rounding mode. */ + mpfr_rnd_t mpfr_mode; +} rounding_mode_desc; + +/* List of rounding modes, in the same order as the rounding_mode + enumeration. */ +static const rounding_mode_desc rounding_modes[rm_num_modes] = + { + { "downward", MPFR_RNDD }, + { "tonearest", MPFR_RNDN }, + { "towardzero", MPFR_RNDZ }, + { "upward", MPFR_RNDU }, + }; + +/* The supported exceptions. */ +typedef enum + { + exc_divbyzero, + exc_inexact, + exc_invalid, + exc_overflow, + exc_underflow, + exc_num_exceptions, + exc_first_exception = 0 + } fp_exception; + +/* List of exceptions, in the same order as the fp_exception + enumeration. */ +static const char *const exceptions[exc_num_exceptions] = + { + "divbyzero", + "inexact", + "invalid", + "overflow", + "underflow", + }; + +/* The internal precision to use for most MPFR calculations, which + must be at least 2 more than the greatest precision of any + supported floating-point format. */ +static int internal_precision; + +/* A value that overflows all supported floating-point formats. */ +static mpfr_t global_max; + +/* A value that is at most half the least subnormal in any + floating-point format and so is rounded the same way as all + sufficiently small positive values. */ +static mpfr_t global_min; + +/* The maximum number of (real or integer) arguments to a function + handled by this program (complex arguments count as two real + arguments). */ +#define MAX_NARGS 4 + +/* The maximum number of (real or integer) return values from a + function handled by this program. */ +#define MAX_NRET 2 + +/* A type of a function argument or return value. */ +typedef enum + { + /* No type (not a valid argument or return value). */ + type_none, + /* A floating-point value with the type corresponding to that of + the function. */ + type_fp, + /* An integer value of type int. */ + type_int, + /* An integer value of type long. */ + type_long, + /* An integer value of type long long. */ + type_long_long, + } arg_ret_type; + +/* A type of a generic real or integer value. */ +typedef enum + { + /* No type. */ + gtype_none, + /* Floating-point (represented with MPFR). */ + gtype_fp, + /* Integer (represented with GMP). */ + gtype_int, + } generic_value_type; + +/* A generic value (argument or result). */ +typedef struct +{ + /* The type of this value. */ + generic_value_type type; + /* Its value. */ + union + { + mpfr_t f; + mpz_t i; + } value; +} generic_value; + +/* A type of input flag. */ +typedef enum + { + flag_no_test_inline, + flag_xfail, + /* The "spurious" and "missing" flags must be in the same order as + the fp_exception enumeration. */ + flag_spurious_divbyzero, + flag_spurious_inexact, + flag_spurious_invalid, + flag_spurious_overflow, + flag_spurious_underflow, + flag_spurious_errno, + flag_missing_divbyzero, + flag_missing_inexact, + flag_missing_invalid, + flag_missing_overflow, + flag_missing_underflow, + flag_missing_errno, + num_input_flag_types, + flag_first_flag = 0, + flag_spurious_first = flag_spurious_divbyzero, + flag_missing_first = flag_missing_divbyzero + } input_flag_type; + +/* List of flags, in the same order as the input_flag_type + enumeration. */ +static const char *const input_flags[num_input_flag_types] = + { + "no-test-inline", + "xfail", + "spurious-divbyzero", + "spurious-inexact", + "spurious-invalid", + "spurious-overflow", + "spurious-underflow", + "spurious-errno", + "missing-divbyzero", + "missing-inexact", + "missing-invalid", + "missing-overflow", + "missing-underflow", + "missing-errno", + }; + +/* An input flag, possibly conditional. */ +typedef struct +{ + /* The type of this flag. */ + input_flag_type type; + /* The conditions on this flag, as a string ":cond1:cond2..." or + NULL. */ + const char *cond; +} input_flag; + +/* Structure describing a single test from the input file (which may + expand into many tests in the output). The choice of function, + which implies the numbers and types of arguments and results, is + implicit rather than stored in this structure (except as part of + the source line). */ +typedef struct +{ + /* The text of the input line describing the test, including the + trailing newline. */ + const char *line; + /* The number of combinations of interpretations of input values for + different floating-point formats and rounding modes. */ + size_t num_input_cases; + /* The corresponding lists of inputs. */ + generic_value **inputs; + /* The number of flags for this test. */ + size_t num_flags; + /* The corresponding list of flags. */ + input_flag *flags; + /* The old output for this test. */ + const char *old_output; +} input_test; + +/* Ways to calculate a function. */ +typedef enum + { + /* MPFR function with a single argument and result. */ + mpfr_f_f, + } func_calc_method; + +/* Description of how to calculate a function. */ +typedef struct +{ + /* Which method is used to calculate the function. */ + func_calc_method method; + /* The specific function called. */ + union + { + int (*mpfr_f_f) (mpfr_t, const mpfr_t, mpfr_rnd_t); + } func; +} func_calc_desc; + +/* Structure describing a function handled by this program. */ +typedef struct +{ + /* The name of the function. */ + const char *name; + /* The number of arguments. */ + size_t num_args; + /* The types of the arguments. */ + arg_ret_type arg_types[MAX_NARGS]; + /* The number of return values. */ + size_t num_ret; + /* The types of the return values. */ + arg_ret_type ret_types[MAX_NRET]; + /* Whether the function has exactly determined results and + exceptions. */ + bool exact; + /* Whether the function is a complex function, so errno setting is + optional. */ + bool complex_fn; + /* How to calculate this function. */ + func_calc_desc calc; + /* The number of tests allocated for this function. */ + size_t num_tests_alloc; + /* The number of tests for this function. */ + size_t num_tests; + /* The tests themselves. */ + input_test *tests; +} test_function; + +#define FUNC_mpfr_f_f(NAME, MPFR_FUNC, EXACT) \ + { \ + NAME, 1, { type_fp }, 1, { type_fp }, EXACT, false, \ + { mpfr_f_f, { .mpfr_f_f = MPFR_FUNC } }, 0, 0, NULL \ + } + +/* List of functions handled by this program. */ +static test_function test_functions[] = + { + FUNC_mpfr_f_f ("sqrt", mpfr_sqrt, true), + }; + +/* Allocate memory, with error checking. */ + +static void * +xmalloc (size_t n) +{ + void *p = malloc (n); + if (p == NULL) + error (EXIT_FAILURE, errno, "xmalloc failed"); + return p; +} + +static void * +xrealloc (void *p, size_t n) +{ + p = realloc (p, n); + if (p == NULL) + error (EXIT_FAILURE, errno, "xrealloc failed"); + return p; +} + +static char * +xstrdup (const char *s) +{ + char *p = strdup (s); + if (p == NULL) + error (EXIT_FAILURE, errno, "xstrdup failed"); + return p; +} + +/* Assert that the result of an MPFR operation was exact; that is, + that the returned ternary value was 0. */ + +static void +assert_exact (int i) +{ + assert (i == 0); +} + +/* Return the generic type of an argument or return value type T. */ + +static generic_value_type +generic_arg_ret_type (arg_ret_type t) +{ + switch (t) + { + case type_fp: + return gtype_fp; + + case type_int: + case type_long: + case type_long_long: + return gtype_int; + + default: + abort (); + } +} + +/* Free a generic_value *V. */ + +static void +generic_value_free (generic_value *v) +{ + switch (v->type) + { + case gtype_fp: + mpfr_clear (v->value.f); + break; + + case gtype_int: + mpz_clear (v->value.i); + break; + + default: + abort (); + } +} + +/* Copy a generic_value *SRC to *DEST. */ + +static void +generic_value_copy (generic_value *dest, const generic_value *src) +{ + dest->type = src->type; + switch (src->type) + { + case gtype_fp: + mpfr_init (dest->value.f); + assert_exact (mpfr_set (dest->value.f, src->value.f, MPFR_RNDN)); + break; + + case gtype_int: + mpz_init (dest->value.i); + mpz_set (dest->value.i, src->value.i); + break; + + default: + abort (); + } +} + +/* Initialize data for floating-point formats. */ + +static void +init_fp_formats () +{ + int global_max_exp = 0, global_min_subnorm_exp = 0; + for (fp_format f = fp_first_format; f < fp_num_formats; f++) + { + if (fp_formats[f].mant_dig + 2 > internal_precision) + internal_precision = fp_formats[f].mant_dig + 2; + if (fp_formats[f].max_exp > global_max_exp) + global_max_exp = fp_formats[f].max_exp; + int min_subnorm_exp = fp_formats[f].min_exp - fp_formats[f].mant_dig; + if (min_subnorm_exp < global_min_subnorm_exp) + global_min_subnorm_exp = min_subnorm_exp; + mpfr_init2 (fp_formats[f].max, fp_formats[f].mant_dig); + if (fp_formats[f].max_string != NULL) + { + char *ep = NULL; + assert_exact (mpfr_strtofr (fp_formats[f].max, + fp_formats[f].max_string, + &ep, 0, MPFR_RNDN)); + assert (*ep == 0); + } + else + { + assert_exact (mpfr_set_ui_2exp (fp_formats[f].max, 1, + fp_formats[f].max_exp, + MPFR_RNDN)); + mpfr_nextbelow (fp_formats[f].max); + } + mpfr_init2 (fp_formats[f].min, fp_formats[f].mant_dig); + assert_exact (mpfr_set_ui_2exp (fp_formats[f].min, 1, + fp_formats[f].min_exp - 1, + MPFR_RNDN)); + mpfr_init2 (fp_formats[f].subnorm_max, fp_formats[f].mant_dig); + assert_exact (mpfr_set (fp_formats[f].subnorm_max, fp_formats[f].min, + MPFR_RNDN)); + mpfr_nextbelow (fp_formats[f].subnorm_max); + mpfr_nextbelow (fp_formats[f].subnorm_max); + mpfr_init2 (fp_formats[f].subnorm_min, fp_formats[f].mant_dig); + assert_exact (mpfr_set_ui_2exp (fp_formats[f].subnorm_min, 1, + min_subnorm_exp, MPFR_RNDN)); + } + mpfr_set_default_prec (internal_precision); + mpfr_init (global_max); + assert_exact (mpfr_set_ui_2exp (global_max, 1, global_max_exp, MPFR_RNDN)); + mpfr_init (global_min); + assert_exact (mpfr_set_ui_2exp (global_min, 1, global_min_subnorm_exp - 1, + MPFR_RNDN)); +} + +/* Fill in mpfr_t values for special strings in input arguments. */ + +static size_t +special_fill_max (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)), + fp_format format) +{ + mpfr_init2 (res0, fp_formats[format].mant_dig); + assert_exact (mpfr_set (res0, fp_formats[format].max, MPFR_RNDN)); + return 1; +} + +static size_t +special_fill_minus_max (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)), + fp_format format) +{ + mpfr_init2 (res0, fp_formats[format].mant_dig); + assert_exact (mpfr_neg (res0, fp_formats[format].max, MPFR_RNDN)); + return 1; +} + +static size_t +special_fill_pi (mpfr_t res0, mpfr_t res1, fp_format format) +{ + mpfr_init2 (res0, fp_formats[format].mant_dig); + mpfr_const_pi (res0, MPFR_RNDU); + mpfr_init2 (res1, fp_formats[format].mant_dig); + mpfr_const_pi (res1, MPFR_RNDD); + return 2; +} + +static size_t +special_fill_minus_pi (mpfr_t res0, mpfr_t res1, fp_format format) +{ + mpfr_init2 (res0, fp_formats[format].mant_dig); + mpfr_const_pi (res0, MPFR_RNDU); + assert_exact (mpfr_neg (res0, res0, MPFR_RNDN)); + mpfr_init2 (res1, fp_formats[format].mant_dig); + mpfr_const_pi (res1, MPFR_RNDD); + assert_exact (mpfr_neg (res1, res1, MPFR_RNDN)); + return 2; +} + +/* A special string accepted in input arguments. */ +typedef struct +{ + /* The string. */ + const char *str; + /* The function that interprets it for a given floating-point + format, filling in up to two mpfr_t values and returning the + number of values filled. */ + size_t (*func) (mpfr_t, mpfr_t, fp_format); +} special_real_input; + +/* List of special strings accepted in input arguments. */ + +static const special_real_input special_real_inputs[] = + { + { "max", special_fill_max }, + { "-max", special_fill_minus_max }, + { "pi", special_fill_pi }, + { "-pi", special_fill_minus_pi }, + }; + +/* Given a real number R computed in round-to-zero mode, set the + lowest bit as a sticky bit if INEXACT, and saturate the exponent + range for very large or small values. */ + +static void +adjust_real (mpfr_t r, bool inexact) +{ + if (!inexact) + return; + /* NaNs are exact, as are infinities in round-to-zero mode. */ + assert (mpfr_regular_p (r)); + if (mpfr_cmpabs (r, global_min) < 0) + assert_exact (mpfr_copysign (r, global_min, r, MPFR_RNDN)); + else if (mpfr_cmpabs (r, global_max) > 0) + assert_exact (mpfr_copysign (r, global_max, r, MPFR_RNDN)); + else + { + mpz_t tmp; + mpz_init (tmp); + mpfr_exp_t e = mpfr_get_z_2exp (tmp, r); + mpz_setbit (tmp, 0); + assert_exact (mpfr_set_z_2exp (r, tmp, e, MPFR_RNDN)); + mpz_clear (tmp); + } +} + +/* Given a finite real number R with sticky bit, compute the roundings + to FORMAT in each rounding mode, storing the results in RES, the + before-rounding exceptions in EXC_BEFORE and the after-rounding + exceptions in EXC_AFTER. */ + +static void +round_real (mpfr_t res[rm_num_modes], + unsigned int exc_before[rm_num_modes], + unsigned int exc_after[rm_num_modes], + mpfr_t r, fp_format format) +{ + assert (mpfr_number_p (r)); + for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) + { + mpfr_init2 (res[m], fp_formats[format].mant_dig); + exc_before[m] = exc_after[m] = 0; + bool inexact = mpfr_set (res[m], r, rounding_modes[m].mpfr_mode); + if (mpfr_cmpabs (res[m], fp_formats[format].max) > 0) + { + inexact = true; + exc_before[m] |= 1U << exc_overflow; + exc_after[m] |= 1U << exc_overflow; + bool overflow_inf; + switch (m) + { + case rm_tonearest: + overflow_inf = true; + break; + case rm_towardzero: + overflow_inf = false; + break; + case rm_downward: + overflow_inf = mpfr_signbit (res[m]); + break; + case rm_upward: + overflow_inf = !mpfr_signbit (res[m]); + break; + default: + abort (); + } + if (overflow_inf) + mpfr_set_inf (res[m], mpfr_signbit (res[m]) ? -1 : 1); + else + assert_exact (mpfr_copysign (res[m], fp_formats[format].max, + res[m], MPFR_RNDN)); + } + if (mpfr_cmpabs (r, fp_formats[format].min) < 0) + { + /* Tiny before rounding; may or may not be tiny after + rounding, and underflow applies only if also inexact + around rounding to a possibly subnormal value. */ + bool tiny_after_rounding + = mpfr_cmpabs (res[m], fp_formats[format].min) < 0; + /* To round to a possibly subnormal value, and determine + inexactness as a subnormal in the process, scale up and + round to integer, then scale back down. */ + mpfr_t tmp; + mpfr_init (tmp); + assert_exact (mpfr_mul_2si (tmp, r, (fp_formats[format].mant_dig + - fp_formats[format].min_exp), + MPFR_RNDN)); + int rint_res = mpfr_rint (tmp, tmp, rounding_modes[m].mpfr_mode); + /* The integer must be representable. */ + assert (rint_res == 0 || rint_res == 2 || rint_res == -2); + /* If rounding to full precision was inexact, so must + rounding to subnormal precision be inexact. */ + if (inexact) + assert (rint_res != 0); + else + inexact = rint_res != 0; + assert_exact (mpfr_mul_2si (res[m], tmp, + (fp_formats[format].min_exp + - fp_formats[format].mant_dig), + MPFR_RNDN)); + mpfr_clear (tmp); + if (inexact) + { + exc_before[m] |= 1U << exc_underflow; + if (tiny_after_rounding) + exc_after[m] |= 1U << exc_underflow; + } + } + if (inexact) + { + exc_before[m] |= 1U << exc_inexact; + exc_after[m] |= 1U << exc_inexact; + } + } +} + +/* Handle the input argument at ARG (NUL-terminated), updating the + lists of test inputs in IT accordingly. NUM_PREV_ARGS arguments + are already in those lists. The argument, of type GTYPE, comes + from file FILENAME, line LINENO. */ + +static void +handle_input_arg (const char *arg, input_test *it, size_t num_prev_args, + generic_value_type gtype, + const char *filename, unsigned int lineno) +{ + size_t num_values = 0; + generic_value values[2 * fp_num_formats]; + switch (gtype) + { + case gtype_fp: + for (fp_format f = fp_first_format; f < fp_num_formats; f++) + { + mpfr_t extra_values[2]; + size_t num_extra_values = 0; + for (size_t i = 0; i < ARRAY_SIZE (special_real_inputs); i++) + { + if (strcmp (arg, special_real_inputs[i].str) == 0) + { + num_extra_values + = special_real_inputs[i].func (extra_values[0], + extra_values[1], f); + assert (num_extra_values > 0 + && num_extra_values <= ARRAY_SIZE (extra_values)); + break; + } + } + if (num_extra_values == 0) + { + mpfr_t tmp; + char *ep; + mpfr_init (tmp); + bool inexact = mpfr_strtofr (tmp, arg, &ep, 0, MPFR_RNDZ); + if (*ep != 0 || !mpfr_number_p (tmp)) + error_at_line (EXIT_FAILURE, 0, filename, lineno, + "bad floating-point argument: '%s'", arg); + adjust_real (tmp, inexact); + mpfr_t rounded[rm_num_modes]; + unsigned int exc_before[rm_num_modes]; + unsigned int exc_after[rm_num_modes]; + round_real (rounded, exc_before, exc_after, tmp, f); + mpfr_clear (tmp); + if (mpfr_number_p (rounded[rm_upward])) + { + mpfr_init2 (extra_values[num_extra_values], + fp_formats[f].mant_dig); + assert_exact (mpfr_set (extra_values[num_extra_values], + rounded[rm_upward], MPFR_RNDN)); + num_extra_values++; + } + if (mpfr_number_p (rounded[rm_downward])) + { + mpfr_init2 (extra_values[num_extra_values], + fp_formats[f].mant_dig); + assert_exact (mpfr_set (extra_values[num_extra_values], + rounded[rm_downward], MPFR_RNDN)); + num_extra_values++; + } + for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) + mpfr_clear (rounded[m]); + } + for (size_t i = 0; i < num_extra_values; i++) + { + bool found = false; + for (size_t j = 0; j < num_values; j++) + { + if (mpfr_equal_p (values[j].value.f, extra_values[i]) + && ((mpfr_signbit (values[j].value.f) != 0) + == (mpfr_signbit (extra_values[i]) != 0))) + { + found = true; + break; + } + } + if (!found) + { + assert (num_values < ARRAY_SIZE (values)); + values[num_values].type = gtype_fp; + mpfr_init2 (values[num_values].value.f, + fp_formats[f].mant_dig); + assert_exact (mpfr_set (values[num_values].value.f, + extra_values[i], MPFR_RNDN)); + num_values++; + } + mpfr_clear (extra_values[i]); + } + } + break; + + case gtype_int: + num_values = 1; + values[0].type = gtype_int; + int ret = mpz_init_set_str (values[0].value.i, arg, 0); + if (ret != 0) + error_at_line (EXIT_FAILURE, 0, filename, lineno, + "bad integer argument: '%s'", arg); + break; + + default: + abort (); + } + assert (num_values > 0 && num_values <= ARRAY_SIZE (values)); + if (it->num_input_cases >= SIZE_MAX / num_values) + error_at_line (EXIT_FAILURE, 0, filename, lineno, "too many input cases"); + generic_value **old_inputs = it->inputs; + size_t new_num_input_cases = it->num_input_cases * num_values; + generic_value **new_inputs = xmalloc (new_num_input_cases + * sizeof (new_inputs[0])); + for (size_t i = 0; i < it->num_input_cases; i++) + { + for (size_t j = 0; j < num_values; j++) + { + size_t idx = i * num_values + j; + new_inputs[idx] = xmalloc ((num_prev_args + 1) + * sizeof (new_inputs[idx][0])); + for (size_t k = 0; k < num_prev_args; k++) + generic_value_copy (&new_inputs[idx][k], &old_inputs[i][k]); + generic_value_copy (&new_inputs[idx][num_prev_args], &values[j]); + } + for (size_t j = 0; j < num_prev_args; j++) + generic_value_free (&old_inputs[i][j]); + free (old_inputs[i]); + } + free (old_inputs); + for (size_t i = 0; i < num_values; i++) + generic_value_free (&values[i]); + it->inputs = new_inputs; + it->num_input_cases = new_num_input_cases; +} + +/* Handle the input flag ARG (NUL-terminated), storing it in *FLAG. + The flag comes from file FILENAME, line LINENO. */ + +static void +handle_input_flag (char *arg, input_flag *flag, + const char *filename, unsigned int lineno) +{ + char *ep = strchr (arg, ':'); + if (ep == NULL) + { + ep = strchr (arg, 0); + assert (ep != NULL); + } + char c = *ep; + *ep = 0; + bool found = false; + for (input_flag_type i = flag_first_flag; i <= num_input_flag_types; i++) + { + if (strcmp (arg, input_flags[i]) == 0) + { + found = true; + flag->type = i; + break; + } + } + if (!found) + error_at_line (EXIT_FAILURE, 0, filename, lineno, "unknown flag: '%s'", + arg); + *ep = c; + if (c == 0) + flag->cond = NULL; + else + flag->cond = xstrdup (ep); +} + +/* Add the test LINE (file FILENAME, line LINENO) to the test + data. */ + +static void +add_test (char *line, const char *filename, unsigned int lineno) +{ + size_t num_tokens = 1; + char *p = line; + while ((p = strchr (p, ' ')) != NULL) + { + num_tokens++; + p++; + } + if (num_tokens < 2) + error_at_line (EXIT_FAILURE, 0, filename, lineno, + "line too short: '%s'", line); + p = strchr (line, ' '); + size_t func_name_len = p - line; + for (size_t i = 0; i < ARRAY_SIZE (test_functions); i++) + { + if (func_name_len == strlen (test_functions[i].name) + && strncmp (line, test_functions[i].name, func_name_len) == 0) + { + test_function *tf = &test_functions[i]; + if (num_tokens < 1 + tf->num_args) + error_at_line (EXIT_FAILURE, 0, filename, lineno, + "line too short: '%s'", line); + if (tf->num_tests == tf->num_tests_alloc) + { + tf->num_tests_alloc = 2 * tf->num_tests_alloc + 16; + tf->tests + = xrealloc (tf->tests, + tf->num_tests_alloc * sizeof (tf->tests[0])); + } + input_test *it = &tf->tests[tf->num_tests]; + it->line = line; + it->num_input_cases = 1; + it->inputs = xmalloc (sizeof (it->inputs[0])); + it->inputs[0] = NULL; + it->old_output = NULL; + p++; + for (size_t j = 0; j < tf->num_args; j++) + { + char *ep = strchr (p, ' '); + if (ep == NULL) + { + ep = strchr (p, '\n'); + assert (ep != NULL); + } + if (ep == p) + error_at_line (EXIT_FAILURE, 0, filename, lineno, + "empty token in line: '%s'", line); + for (char *t = p; t < ep; t++) + if (isspace ((unsigned char) *t)) + error_at_line (EXIT_FAILURE, 0, filename, lineno, + "whitespace in token in line: '%s'", line); + char c = *ep; + *ep = 0; + handle_input_arg (p, it, j, + generic_arg_ret_type (tf->arg_types[j]), + filename, lineno); + *ep = c; + p = ep + 1; + } + it->num_flags = num_tokens - 1 - tf->num_args; + it->flags = xmalloc (it->num_flags * sizeof (it->flags[0])); + for (size_t j = 0; j < it->num_flags; j++) + { + char *ep = strchr (p, ' '); + if (ep == NULL) + { + ep = strchr (p, '\n'); + assert (ep != NULL); + } + if (ep == p) + error_at_line (EXIT_FAILURE, 0, filename, lineno, + "empty token in line: '%s'", line); + for (char *t = p; t < ep; t++) + if (isspace ((unsigned char) *t)) + error_at_line (EXIT_FAILURE, 0, filename, lineno, + "whitespace in token in line: '%s'", line); + char c = *ep; + *ep = 0; + handle_input_flag (p, &it->flags[j], filename, lineno); + *ep = c; + p = ep + 1; + } + assert (*p == 0); + tf->num_tests++; + return; + } + } + error_at_line (EXIT_FAILURE, 0, filename, lineno, + "unknown function in line: '%s'", line); +} + +/* Read in the test input data from FILENAME. */ + +static void +read_input (const char *filename) +{ + FILE *fp = fopen (filename, "r"); + if (fp == NULL) + error (EXIT_FAILURE, errno, "open '%s'", filename); + unsigned int lineno = 0; + for (;;) + { + size_t size = 0; + char *line = NULL; + ssize_t ret = getline (&line, &size, fp); + if (ret == -1) + break; + lineno++; + if (line[0] == '#' || line[0] == '\n') + continue; + add_test (line, filename, lineno); + } + if (ferror (fp)) + error (EXIT_FAILURE, errno, "read from '%s'", filename); + if (fclose (fp) != 0) + error (EXIT_FAILURE, errno, "close '%s'", filename); +} + +/* Calculate the generic results (round-to-zero with sticky bit) for + the function described by CALC, with inputs INPUTS. */ + +static void +calc_generic_results (generic_value *outputs, generic_value *inputs, + const func_calc_desc *calc) +{ + bool inexact; + switch (calc->method) + { + case mpfr_f_f: + assert (inputs[0].type == gtype_fp); + outputs[0].type = gtype_fp; + mpfr_init (outputs[0].value.f); + inexact = calc->func.mpfr_f_f (outputs[0].value.f, inputs[0].value.f, + MPFR_RNDZ); + adjust_real (outputs[0].value.f, inexact); + break; + + default: + abort (); + } +} + +/* Return the number of bits for integer type TYPE, where "long" has + LONG_BITS bits (32 or 64). */ + +static int +int_type_bits (arg_ret_type type, int long_bits) +{ + assert (long_bits == 32 || long_bits == 64); + switch (type) + { + case type_int: + return 32; + break; + + case type_long: + return long_bits; + break; + + case type_long_long: + return 64; + break; + + default: + abort (); + } +} + +/* Check whether an integer Z fits a given type TYPE, where "long" has + LONG_BITS bits (32 or 64). */ + +static bool +int_fits_type (mpz_t z, arg_ret_type type, int long_bits) +{ + int bits = int_type_bits (type, long_bits); + bool ret = true; + mpz_t t; + mpz_init (t); + mpz_ui_pow_ui (t, 2, bits - 1); + if (mpz_cmp (z, t) >= 0) + ret = false; + mpz_neg (t, t); + if (mpz_cmp (z, t) < 0) + ret = false; + mpz_clear (t); + return ret; +} + +/* Print a generic value V to FP (name FILENAME), preceded by a space, + for type TYPE, floating-point format FORMAT, LONG_BITS bits per + long, printing " IGNORE" instead if IGNORE. */ + +static void +output_generic_value (FILE *fp, const char *filename, const generic_value *v, + bool ignore, arg_ret_type type, fp_format format, + int long_bits) +{ + if (ignore) + { + if (fputs (" IGNORE", fp) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", filename); + return; + } + assert (v->type == generic_arg_ret_type (type)); + const char *suffix; + switch (type) + { + case type_fp: + suffix = fp_formats[format].suffix; + break; + + case type_int: + suffix = ""; + break; + + case type_long: + suffix = "L"; + break; + + case type_long_long: + suffix = "LL"; + break; + + default: + abort (); + } + switch (v->type) + { + case gtype_fp: + if (mpfr_inf_p (v->value.f)) + { + if (fputs ((mpfr_signbit (v->value.f) + ? " minus_infty" : " plus_infty"), fp) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", filename); + } + else + { + assert (mpfr_number_p (v->value.f)); + if (mpfr_fprintf (fp, " %Ra%s", v->value.f, suffix) < 0) + error (EXIT_FAILURE, errno, "mpfr_fprintf to '%s'", filename); + } + break; + + case gtype_int: ; + int bits = int_type_bits (type, long_bits); + mpz_t tmp; + mpz_init (tmp); + mpz_ui_pow_ui (tmp, 2, bits - 1); + mpz_neg (tmp, tmp); + if (mpz_cmp (v->value.i, tmp) == 0) + { + mpz_add_ui (tmp, tmp, 1); + if (mpfr_fprintf (fp, " (%Zd%s-1)", tmp, suffix) < 0) + error (EXIT_FAILURE, errno, "mpfr_fprintf to '%s'", filename); + } + else + { + if (mpfr_fprintf (fp, " %Zd%s", v->value.i, suffix) < 0) + error (EXIT_FAILURE, errno, "mpfr_fprintf to '%s'", filename); + } + mpz_clear (tmp); + break; + + default: + abort (); + } +} + +/* Generate test output to FP (name FILENAME) for test function TF, + input test IT, choice of input values INPUTS. */ + +static void +output_for_one_input_case (FILE *fp, const char *filename, test_function *tf, + input_test *it, generic_value *inputs) +{ + bool long_bits_matters = false; + bool fits_long32 = true; + for (size_t i = 0; i < tf->num_args; i++) + { + generic_value_type gtype = generic_arg_ret_type (tf->arg_types[i]); + assert (inputs[i].type == gtype); + if (gtype == gtype_int) + { + bool fits_64 = int_fits_type (inputs[i].value.i, tf->arg_types[i], + 64); + if (!fits_64) + return; + if (tf->arg_types[i] == type_long + && !int_fits_type (inputs[i].value.i, tf->arg_types[i], 32)) + { + long_bits_matters = true; + fits_long32 = false; + } + } + } + generic_value generic_outputs[MAX_NRET]; + calc_generic_results (generic_outputs, inputs, &tf->calc); + bool ignore_output_long32[MAX_NRET] = { false }; + bool ignore_output_long64[MAX_NRET] = { false }; + for (size_t i = 0; i < tf->num_ret; i++) + { + assert (generic_outputs[i].type + == generic_arg_ret_type (tf->ret_types[i])); + switch (generic_outputs[i].type) + { + case gtype_fp: + if (!mpfr_number_p (generic_outputs[i].value.f)) + goto out; /* Result is NaN or exact infinity. */ + break; + + case gtype_int: + ignore_output_long32[i] = !int_fits_type (generic_outputs[i].value.i, + tf->ret_types[i], 32); + ignore_output_long64[i] = !int_fits_type (generic_outputs[i].value.i, + tf->ret_types[i], 64); + if (ignore_output_long32[i] != ignore_output_long64[i]) + long_bits_matters = true; + break; + + default: + abort (); + } + } + /* Iterate over relevant sizes of long and floating-point formats. */ + for (int long_bits = 32; long_bits <= 64; long_bits += 32) + { + if (long_bits == 32 && !fits_long32) + continue; + if (long_bits == 64 && !long_bits_matters) + continue; + const char *long_cond; + if (long_bits_matters) + long_cond = (long_bits == 32 ? ":long32" : ":long64"); + else + long_cond = ""; + bool *ignore_output = (long_bits == 32 + ? ignore_output_long32 + : ignore_output_long64); + for (fp_format f = fp_first_format; f < fp_num_formats; f++) + { + bool fits = true; + mpfr_t res[rm_num_modes]; + unsigned int exc_before[rm_num_modes]; + unsigned int exc_after[rm_num_modes]; + for (size_t i = 0; i < tf->num_args; i++) + { + if (inputs[i].type == gtype_fp) + round_real (res, exc_before, exc_after, inputs[i].value.f, f); + if (!mpfr_equal_p (res[rm_tonearest], inputs[i].value.f)) + fits = false; + for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) + mpfr_clear (res[m]); + if (!fits) + break; + } + if (!fits) + continue; + /* The inputs fit this type, so compute the ideal outputs + and exceptions. */ + mpfr_t all_res[MAX_NRET][rm_num_modes]; + unsigned int all_exc_before[MAX_NRET][rm_num_modes]; + unsigned int all_exc_after[MAX_NRET][rm_num_modes]; + unsigned int merged_exc_before[rm_num_modes] = { 0 }; + unsigned int merged_exc_after[rm_num_modes] = { 0 }; + /* For functions not exactly determined, track whether + underflow is required (some result is inexact, and + magnitude does not exceed the greatest magnitude + subnormal), and permitted (not an exact zero, and + magnitude does not exceed the least magnitude + normal). */ + bool must_underflow = false; + bool may_underflow = false; + for (size_t i = 0; i < tf->num_ret; i++) + { + switch (generic_outputs[i].type) + { + case gtype_fp: + round_real (all_res[i], all_exc_before[i], all_exc_after[i], + generic_outputs[i].value.f, f); + for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) + { + merged_exc_before[m] |= all_exc_before[i][m]; + merged_exc_after[m] |= all_exc_after[i][m]; + if (!tf->exact) + { + must_underflow + |= ((all_exc_before[i][m] + & (1U << exc_inexact)) != 0 + && (mpfr_cmpabs (generic_outputs[i].value.f, + fp_formats[f].subnorm_max) + <= 0)); + may_underflow + |= (!mpfr_zero_p (generic_outputs[i].value.f) + && mpfr_cmpabs (generic_outputs[i].value.f, + fp_formats[f].min) <= 0); + } + } + break; + + case gtype_int: + if (ignore_output[i]) + for (rounding_mode m = rm_first_mode; + m < rm_num_modes; + m++) + { + merged_exc_before[m] |= 1U << exc_invalid; + merged_exc_after[m] |= 1U << exc_invalid; + } + break; + + default: + abort (); + } + } + assert (may_underflow || !must_underflow); + for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) + { + bool before_after_matters + = tf->exact && merged_exc_before[m] != merged_exc_after[m]; + for (int after = 0; after <= 1; after++) + { + if (after == 1 && !before_after_matters) + continue; + const char *after_cond; + if (before_after_matters) + after_cond = (after + ? ":after-rounding" + : ":before-rounding"); + else + after_cond = ""; + unsigned int merged_exc = (after + ? merged_exc_after[m] + : merged_exc_before[m]); + if (fprintf (fp, "= %s %s %s%s%s", tf->name, + rounding_modes[m].name, fp_formats[f].name, + long_cond, after_cond) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", filename); + /* Print inputs. */ + for (size_t i = 0; i < tf->num_args; i++) + output_generic_value (fp, filename, &inputs[i], false, + tf->arg_types[i], f, long_bits); + if (fputs (" :", fp) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", filename); + /* Print outputs. */ + bool must_erange = false; + for (size_t i = 0; i < tf->num_ret; i++) + { + generic_value g; + g.type = generic_outputs[i].type; + switch (g.type) + { + case gtype_fp: + if (mpfr_inf_p (all_res[i][m]) + && (all_exc_before[i][m] + & (1U << exc_overflow)) != 0) + must_erange = true; + if (mpfr_zero_p (all_res[i][m]) + && (all_exc_before[i][m] + & (1U << exc_underflow)) != 0) + must_erange = true; + mpfr_init2 (g.value.f, fp_formats[f].mant_dig); + assert_exact (mpfr_set (g.value.f, all_res[i][m], + MPFR_RNDN)); + break; + + case gtype_int: + mpz_init (g.value.i); + mpz_set (g.value.i, generic_outputs[i].value.i); + break; + + default: + abort (); + } + output_generic_value (fp, filename, &g, ignore_output[i], + tf->ret_types[i], f, long_bits); + generic_value_free (&g); + } + if (fputs (" :", fp) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", filename); + /* Print miscellaneous flags (passed through from + input). */ + for (size_t i = 0; i < it->num_flags; i++) + switch (it->flags[i].type) + { + case flag_no_test_inline: + case flag_xfail: + if (fprintf (fp, " %s%s", + input_flags[it->flags[i].type], + (it->flags[i].cond + ? it->flags[i].cond + : "")) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", + filename); + break; + default: + break; + } + /* Print exception flags and compute errno + expectations where not already computed. */ + bool may_edom = false; + bool must_edom = false; + bool may_erange = must_erange || may_underflow; + for (fp_exception e = exc_first_exception; + e < exc_num_exceptions; + e++) + { + bool expect_e = (merged_exc & (1U << e)) != 0; + bool e_optional = false; + switch (e) + { + case exc_divbyzero: + if (expect_e) + may_erange = must_erange = true; + break; + + case exc_inexact: + if (!tf->exact) + e_optional = true; + break; + + case exc_invalid: + if (expect_e) + may_edom = must_edom = true; + break; + + case exc_overflow: + if (expect_e) + may_erange = true; + break; + + case exc_underflow: + if (expect_e) + may_erange = true; + if (must_underflow) + assert (expect_e); + if (may_underflow && !must_underflow) + e_optional = true; + break; + + default: + abort (); + } + if (e_optional) + { + if (fprintf (fp, " %s-ok", exceptions[e]) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", + filename); + } + else + { + if (expect_e) + if (fprintf (fp, " %s", exceptions[e]) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", + filename); + input_flag_type okflag; + okflag = (expect_e + ? flag_missing_first + : flag_spurious_first) + e; + for (size_t i = 0; i < it->num_flags; i++) + if (it->flags[i].type == okflag) + if (fprintf (fp, " %s-ok%s", + exceptions[e], + (it->flags[i].cond + ? it->flags[i].cond + : "")) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", + filename); + } + } + /* Print errno expectations. */ + if (tf->complex_fn) + { + must_edom = false; + must_erange = false; + } + if (may_edom && !must_edom) + { + if (fputs (" errno-edom-ok", fp) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", + filename); + } + else + { + if (must_edom) + if (fputs (" errno-edom", fp) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", + filename); + input_flag_type okflag = (must_edom + ? flag_missing_errno + : flag_spurious_errno); + for (size_t i = 0; i < it->num_flags; i++) + if (it->flags[i].type == okflag) + if (fprintf (fp, " errno-edom-ok%s", + (it->flags[i].cond + ? it->flags[i].cond + : "")) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", + filename); + } + if (may_erange && !must_erange) + { + if (fputs (" errno-erange-ok", fp) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", + filename); + } + else + { + if (must_erange) + if (fputs (" errno-erange", fp) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", + filename); + input_flag_type okflag = (must_erange + ? flag_missing_errno + : flag_spurious_errno); + for (size_t i = 0; i < it->num_flags; i++) + if (it->flags[i].type == okflag) + if (fprintf (fp, " errno-erange-ok%s", + (it->flags[i].cond + ? it->flags[i].cond + : "")) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", + filename); + } + if (putc ('\n', fp) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", filename); + } + } + for (size_t i = 0; i < tf->num_ret; i++) + { + if (generic_outputs[i].type == gtype_fp) + for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) + mpfr_clear (all_res[i][m]); + } + } + } + out: + for (size_t i = 0; i < tf->num_ret; i++) + generic_value_free (&generic_outputs[i]); +} + +/* Generate test output data to FILENAME. */ + +static void +generate_output (const char *filename) +{ + FILE *fp = fopen (filename, "w"); + if (fp == NULL) + error (EXIT_FAILURE, errno, "open '%s'", filename); + for (size_t i = 0; i < ARRAY_SIZE (test_functions); i++) + { + test_function *tf = &test_functions[i]; + for (size_t j = 0; j < tf->num_tests; j++) + { + input_test *it = &tf->tests[j]; + if (fputs (it->line, fp) < 0) + error (EXIT_FAILURE, errno, "write to '%s'", filename); + for (size_t k = 0; k < it->num_input_cases; k++) + output_for_one_input_case (fp, filename, tf, it, it->inputs[k]); + } + } + if (fclose (fp) != 0) + error (EXIT_FAILURE, errno, "close '%s'", filename); +} + +int +main (int argc, char **argv) +{ + if (argc != 3) + error (EXIT_FAILURE, 0, "usage: gen-auto-libm-tests <input> <output>"); + const char *input_filename = argv[1]; + const char *output_filename = argv[2]; + init_fp_formats (); + read_input (input_filename); + generate_output (output_filename); + exit (EXIT_SUCCESS); +} diff --git a/math/gen-libm-test.pl b/math/gen-libm-test.pl index bd701d7d84..81f5fabdd7 100755 --- a/math/gen-libm-test.pl +++ b/math/gen-libm-test.pl @@ -39,10 +39,11 @@ use Getopt::Std; use strict; -use vars qw ($input $output); +use vars qw ($input $output $auto_input); use vars qw (%results); use vars qw (%beautify @all_floats); use vars qw ($output_dir $ulps_file); +use vars qw (%auto_tests); # all_floats is sorted and contains all recognised float types @all_floats = ('double', 'float', 'idouble', @@ -51,6 +52,12 @@ use vars qw ($output_dir $ulps_file); %beautify = ( "minus_zero" => "-0", "plus_zero" => "+0", + "-0x0p+0f" => "-0", + "-0x0p+0" => "-0", + "-0x0p+0L" => "-0", + "0x0p+0f" => "+0", + "0x0p+0" => "+0", + "0x0p+0L" => "+0", "minus_infty" => "-inf", "plus_infty" => "inf", "qnan_value" => "qNaN", @@ -99,9 +106,11 @@ $ulps_file = $opt_u if ($opt_u); $output_dir = $opt_o if ($opt_o); $input = "libm-test.inc"; +$auto_input = "auto-libm-test-out"; $output = "${output_dir}libm-test.c"; &parse_ulps ($ulps_file); +&parse_auto_input ($auto_input); &generate_testfile ($input, $output) unless ($opt_n); &output_ulps ("${output_dir}libm-test-ulps.h", $ulps_file) unless ($opt_n); &print_ulps_file ("${output_dir}NewUlps") if ($opt_n); @@ -121,6 +130,9 @@ sub beautify { return '-' . $beautify{$tmp}; } } + if ($arg =~ /^-?0x[0-9a-f.]*p[-+][0-9]+f$/) { + $arg =~ s/f$//; + } if ($arg =~ /[0-9]L$/) { $arg =~ s/L$//; } @@ -218,7 +230,7 @@ sub parse_args { # consistency check if ($current_arg == $#args) { die ("wrong number of arguments") - unless ($args[$current_arg] =~ /EXCEPTION|ERRNO|IGNORE_ZERO_INF_SIGN|TEST_NAN_SIGN|NO_TEST_INLINE/); + unless ($args[$current_arg] =~ /EXCEPTION|ERRNO|IGNORE_ZERO_INF_SIGN|TEST_NAN_SIGN|NO_TEST_INLINE|XFAIL_TEST/); } elsif ($current_arg < $#args) { die ("wrong number of arguments"); } elsif ($current_arg > ($#args+1)) { @@ -309,17 +321,165 @@ sub parse_args { print $file " $cline },\n"; } +# Convert a condition from auto-libm-test-out to C form. +sub convert_condition { + my ($cond) = @_; + my (@conds, $ret); + @conds = split /:/, $cond; + foreach (@conds) { + s/-/_/g; + s/^/TEST_COND_/; + } + $ret = join " && ", @conds; + return "($ret)"; +} + +# Return text to OR a value into an accumulated flags string. +sub or_value { + my ($cond) = @_; + if ($cond eq "0") { + return ""; + } else { + return " | $cond"; + } +} + +# Return text to OR a conditional expression between two values into +# an accumulated flags string. +sub or_cond_value { + my ($cond, $if, $else) = @_; + if ($cond eq "1") { + return or_value ($if); + } elsif ($cond eq "0") { + return or_value ($else); + } else { + return or_value ("($cond ? $if : $else)"); + } +} + # Generate libm-test.c sub generate_testfile { my ($input, $output) = @_; - my ($lasttext); - my (@args, $i); open INPUT, $input or die ("Can't open $input: $!"); open OUTPUT, ">$output" or die ("Can't open $output: $!"); # Replace the special macros while (<INPUT>) { + # AUTO_TESTS (function, mode), + if (/^\s*AUTO_TESTS_/) { + my ($descr, $func, $mode, $auto_test, $num_auto_tests); + ($descr, $func, $mode) = ($_ =~ /AUTO_TESTS_(\w+)\s*\((\w+),\s*(\w+)\)/); + $num_auto_tests = 0; + foreach $auto_test (sort keys %{$auto_tests{$func}{$mode}}) { + my ($finputs, $format, $inputs, $outputs, $flags); + my ($format_conv, $flags_conv, @flags, %flag_cond); + $num_auto_tests++; + ($finputs, $outputs, $flags) = split / : */, $auto_test; + ($format, $inputs) = split / /, $finputs, 2; + $inputs =~ s/ /, /g; + $outputs =~ s/ /, /g; + $format_conv = convert_condition ($format); + print OUTPUT "#if $format_conv\n"; + @flags = split / /, $flags; + foreach (@flags) { + if (/^([^:]*):(.*)$/) { + my ($flag, $cond); + $flag = $1; + $cond = convert_condition ($2); + if (defined ($flag_cond{$flag})) { + if ($flag_cond{$flag} ne "1") { + $flag_cond{$flag} .= " || $cond"; + } + } else { + $flag_cond{$flag} = $cond; + } + } else { + $flag_cond{$_} = "1"; + } + } + $flags_conv = ""; + if (defined ($flag_cond{"no-test-inline"})) { + $flags_conv .= or_cond_value ($flag_cond{"no-test-inline"}, + "NO_TEST_INLINE", "0"); + } + if (defined ($flag_cond{"xfail"})) { + $flags_conv .= or_cond_value ($flag_cond{"xfail"}, + "XFAIL_TEST", "0"); + } + my (@exc_list) = qw(divbyzero inexact invalid overflow underflow); + my ($exc); + foreach $exc (@exc_list) { + my ($exc_expected, $exc_ok, $no_exc); + $exc_expected = "\U$exc\E_EXCEPTION"; + $exc_ok = "\U$exc\E_EXCEPTION_OK"; + $no_exc = "0"; + if ($exc eq "inexact") { + $exc_ok = "0"; + $no_exc = "NO_INEXACT_EXCEPTION"; + } + if (defined ($flag_cond{$exc})) { + if ($flag_cond{$exc} ne "1") { + die ("unexpected condition for $exc\n"); + } + if (defined ($flag_cond{"$exc-ok"})) { + $flags_conv .= or_cond_value ($flag_cond{"$exc-ok"}, + $exc_ok, $exc_expected); + } else { + $flags_conv .= or_value ($exc_expected); + } + } else { + if (defined ($flag_cond{"$exc-ok"})) { + $flags_conv .= or_cond_value ($flag_cond{"$exc-ok"}, + $exc_ok, $no_exc); + } else { + $flags_conv .= or_value ($no_exc); + } + } + } + my ($errno_expected, $errno_unknown_cond); + if (defined ($flag_cond{"errno-edom"})) { + if ($flag_cond{"errno-edom"} ne "1") { + die ("unexpected condition for errno-edom"); + } + if (defined ($flag_cond{"errno-erange"})) { + die ("multiple errno values expected"); + } + $errno_expected = "ERRNO_EDOM"; + } elsif (defined ($flag_cond{"errno-erange"})) { + if ($flag_cond{"errno-erange"} ne "1") { + die ("unexpected condition for errno-erange"); + } + $errno_expected = "ERRNO_ERANGE"; + } else { + $errno_expected = "ERRNO_UNCHANGED"; + } + if (defined ($flag_cond{"errno-edom-ok"})) { + if (defined ($flag_cond{"errno-erange-ok"}) + && $flag_cond{"errno-erange-ok"} ne $flag_cond{"errno-edom-ok"}) { + $errno_unknown_cond = "($flag_cond{\"errno-edom-ok\"} || $flag_cond{\"errno-erange-ok\"})"; + } else { + $errno_unknown_cond = $flag_cond{"errno-edom-ok"}; + } + } elsif (defined ($flag_cond{"errno-erange-ok"})) { + $errno_unknown_cond = $flag_cond{"errno-erange-ok"}; + } else { + $errno_unknown_cond = "0"; + } + $flags_conv .= or_cond_value ($errno_unknown_cond, + "0", $errno_expected); + if ($flags_conv ne "") { + $flags_conv =~ s/^ \|/,/; + } + &parse_args (\*OUTPUT, $descr, + "$func, $inputs, $outputs$flags_conv"); + print OUTPUT "#endif\n"; + } + if ($num_auto_tests == 0) { + die ("no automatic tests for $func, $mode\n"); + } + next; + } # TEST_... if (/^\s*TEST_/) { @@ -573,3 +733,20 @@ sub output_ulps { print ULP " };\n"; close ULP; } + +# Parse auto-libm-test-out. +sub parse_auto_input { + my ($file) = @_; + open AUTO, $file or die ("Can't open $file: $!"); + while (<AUTO>) { + chop; + next if !/^= /; + s/^= //; + if (/^(\S+) (\S+) (.*)$/) { + $auto_tests{$1}{$2}{$3} = 1; + } else { + die ("bad automatic test line: $_\n"); + } + } + close AUTO; +} diff --git a/math/libm-test.inc b/math/libm-test.inc index 0c88abc3db..017fa63122 100644 --- a/math/libm-test.inc +++ b/math/libm-test.inc @@ -175,12 +175,13 @@ struct ulp_data #define IGNORE_ZERO_INF_SIGN 0x400 #define TEST_NAN_SIGN 0x800 #define NO_TEST_INLINE 0x1000 +#define XFAIL_TEST 0x2000 /* Indicate errno settings required or disallowed. */ -#define ERRNO_UNCHANGED 0x2000 -#define ERRNO_EDOM 0x4000 -#define ERRNO_ERANGE 0x8000 +#define ERRNO_UNCHANGED 0x4000 +#define ERRNO_EDOM 0x8000 +#define ERRNO_ERANGE 0x10000 /* Flags generated by gen-libm-test.pl, not entered here manually. */ -#define IGNORE_RESULT 0x10000 +#define IGNORE_RESULT 0x20000 /* Values underflowing only for float. */ #ifdef TEST_FLOAT @@ -225,6 +226,47 @@ struct ulp_data # define NO_TEST_INLINE_DOUBLE 0 #endif +/* Conditions used by tests generated by gen-auto-libm-tests.c. */ +#ifdef TEST_FLOAT +# define TEST_COND_flt_32 1 +#else +# define TEST_COND_flt_32 0 +#endif +#if defined TEST_DOUBLE || (defined TEST_LDOUBLE && LDBL_MANT_DIG == 53) +# define TEST_COND_dbl_64 1 +#else +# define TEST_COND_dbl_64 0 +#endif +#if defined TEST_LDOUBLE && LDBL_MANT_DIG == 64 && LDBL_MIN_EXP == -16381 +# define TEST_COND_ldbl_96_intel 1 +#else +# define TEST_COND_ldbl_96_intel 0 +#endif +#if defined TEST_LDOUBLE && LDBL_MANT_DIG == 64 && LDBL_MIN_EXP == -16382 +# define TEST_COND_ldbl_96_m68k 1 +#else +# define TEST_COND_ldbl_96_m68k 0 +#endif +#if defined TEST_LDOUBLE && LDBL_MANT_DIG == 113 +# define TEST_COND_ldbl_128 1 +#else +# define TEST_COND_ldbl_128 0 +#endif +#if defined TEST_LDOUBLE && LDBL_MANT_DIG == 106 +# define TEST_COND_ldbl_128ibm 1 +#else +# define TEST_COND_ldbl_128ibm 0 +#endif +#if LONG_MAX == 0x7fffffff +# define TEST_COND_long32 1 +# define TEST_COND_long64 0 +#else +# define TEST_COND_long32 0 +# define TEST_COND_long64 1 +#endif +#define TEST_COND_before_rounding (!TININESS_AFTER_ROUNDING) +#define TEST_COND_after_rounding TININESS_AFTER_ROUNDING + /* Various constants (we must supply them precalculated for accuracy). */ #define M_PI_6l .52359877559829887307710723054658383L #define M_E2l 7.389056098930650227230427460575008L @@ -997,6 +1039,8 @@ check_longlong (const char *test_name, long long int computed, static int enable_test (int exceptions) { + if (exceptions & XFAIL_TEST) + return 0; #ifdef TEST_INLINE if (exceptions & NO_TEST_INLINE) return 0; @@ -13707,24 +13751,15 @@ sinh_test_upward (void) static const struct test_f_f_data sqrt_test_data[] = { - TEST_f_f (sqrt, 0, 0, NO_INEXACT_EXCEPTION), TEST_f_f (sqrt, qnan_value, qnan_value, NO_INEXACT_EXCEPTION), TEST_f_f (sqrt, plus_infty, plus_infty, NO_INEXACT_EXCEPTION), - TEST_f_f (sqrt, minus_zero, minus_zero, NO_INEXACT_EXCEPTION), - /* sqrt (x) == qNaN plus invalid exception for x < 0. */ TEST_f_f (sqrt, -1, qnan_value, NO_INEXACT_EXCEPTION|INVALID_EXCEPTION|ERRNO_EDOM), TEST_f_f (sqrt, -max_value, qnan_value, NO_INEXACT_EXCEPTION|INVALID_EXCEPTION|ERRNO_EDOM), TEST_f_f (sqrt, minus_infty, qnan_value, NO_INEXACT_EXCEPTION|INVALID_EXCEPTION|ERRNO_EDOM), - TEST_f_f (sqrt, 2209, 47, NO_INEXACT_EXCEPTION), - TEST_f_f (sqrt, 4, 2, NO_INEXACT_EXCEPTION), - TEST_f_f (sqrt, 2, M_SQRT2l, INEXACT_EXCEPTION), - TEST_f_f (sqrt, 0.25, 0.5, NO_INEXACT_EXCEPTION), - TEST_f_f (sqrt, 6642.25, 81.5, NO_INEXACT_EXCEPTION), - TEST_f_f (sqrt, 15190.5625L, 123.25L, NO_INEXACT_EXCEPTION), - TEST_f_f (sqrt, 0.75L, 0.866025403784438646763723170752936183L, INEXACT_EXCEPTION), + AUTO_TESTS_f_f (sqrt, tonearest), }; static void |