diff options
| author | Joseph Myers <joseph@codesourcery.com> | 2020-06-11 23:45:48 +0000 |
|---|---|---|
| committer | Paolo Bonzini <pbonzini@redhat.com> | 2020-06-26 09:39:37 -0400 |
| commit | eca30647fc078f4d9ed1b455bd67960f99dbeb7a (patch) | |
| tree | 5294a8dd65cd8ef57a7f548e3f126dba936a797b /tests/tcg/i386 | |
| parent | b00de3a51fc8e86d1678c57e65d57aa9ed052422 (diff) | |
| download | qemu-eca30647fc078f4d9ed1b455bd67960f99dbeb7a.zip qemu-eca30647fc078f4d9ed1b455bd67960f99dbeb7a.tar.gz qemu-eca30647fc078f4d9ed1b455bd67960f99dbeb7a.tar.bz2 | |
target/i386: reimplement f2xm1 using floatx80 operations
The x87 f2xm1 emulation is currently based around conversion to
double. This is inherently unsuitable for a good emulation of any
floatx80 operation, even before considering that it is a particularly
naive implementation using double (computing with pow and then
subtracting 1 rather than attempting a better emulation using expm1).
Reimplement using the soft-float operations, including additions and
multiplications with higher precision where appropriate to limit
accumulation of errors. I considered reusing some of the m68k code
for transcendental operations, but the instructions don't generally
correspond exactly to x87 operations (for example, m68k has 2^x and
e^x - 1, but not 2^x - 1); to avoid possible accumulation of errors
from applying multiple such operations each rounding to floatx80
precision, I wrote a direct implementation of 2^x - 1 instead. It
would be possible in principle to make the implementation more
efficient by doing the intermediate operations directly with
significands, signs and exponents and not packing / unpacking floatx80
format for each operation, but that would make it significantly more
complicated and it's not clear that's worthwhile; the m68k emulation
doesn't try to do that.
A test is included with many randomly generated inputs. The
assumption of the test is that the result in round-to-nearest mode
should always be one of the two closest floating-point numbers to the
mathematical value of 2^x - 1; the implementation aims to do somewhat
better than that (about 70 correct bits before rounding). I haven't
investigated how accurate hardware is.
Signed-off-by: Joseph Myers <joseph@codesourcery.com>
Message-Id: <alpine.DEB.2.21.2006112341010.18393@digraph.polyomino.org.uk>
Signed-off-by: Paolo Bonzini <pbonzini@redhat.com>
Diffstat (limited to 'tests/tcg/i386')
| -rw-r--r-- | tests/tcg/i386/test-i386-f2xm1.c | 1140 |
1 files changed, 1140 insertions, 0 deletions
diff --git a/tests/tcg/i386/test-i386-f2xm1.c b/tests/tcg/i386/test-i386-f2xm1.c new file mode 100644 index 0000000..4513ed8 --- /dev/null +++ b/tests/tcg/i386/test-i386-f2xm1.c @@ -0,0 +1,1140 @@ +/* Test f2xm1 instruction. */ + +#include <stdio.h> + +struct test { + long double arg, down, up; +}; + +const struct test tests[] = { + { -1.0L, -0.5L, -0.5L }, + { -0.0L, -0.0L, -0.0L }, + { 0.0L, 0.0L, 0.0L }, + /* Randomly generated tests. */ + { 0x4.1481697ac693aa6p-4L, 0x3.17ec9f8454896518p-4L, 0x3.17ec9f845489651cp-4L }, + { -0xd.84a873b14b9c0e2p-4L, -0x7.1788c46ac260d948p-4L, -0x7.1788c46ac260d94p-4L }, + { 0xa.a3dc18b1eff7e8ap-188L, 0x7.6009241b9e21523p-188L, 0x7.6009241b9e215238p-188L }, + { -0xe.846aeb6f58174d5p-92L, -0xa.1006405817acc33p-92L, -0xa.1006405817acc32p-92L }, + { 0x5.4459f2ac77bb0978p-4L, 0x4.19d3ce7fd5b90ac8p-4L, 0x4.19d3ce7fd5b90adp-4L }, + { -0xb.79bece734a62216p-4L, -0x6.4489a7fc150c0fp-4L, -0x6.4489a7fc150c0ef8p-4L }, + { 0xa.ab48f9ef732f5c4p-4L, 0x9.66acd7d4b7cf015p-4L, 0x9.66acd7d4b7cf016p-4L }, + { -0xb.8204e63359a46e6p-4L, -0x6.48060f0a504e3488p-4L, -0x6.48060f0a504e348p-4L }, + { 0xd.c732865701ae935p-4L, 0xd.103bc1a15cd9f71p-4L, 0xd.103bc1a15cd9f72p-4L }, + { -0x1.6296e8ff499827a2p-4L, -0xe.e8dc973f0bce9d1p-8L, -0xe.e8dc973f0bce9dp-8L }, + { 0x8.3e49377820195c8p-4L, 0x6.ddff7e8caa601a08p-4L, 0x6.ddff7e8caa601a1p-4L }, + { -0x7.ece8699d62a9f76p-4L, -0x4.a6516088a15ab01p-4L, -0x4.a6516088a15ab008p-4L }, + { 0x4.b875c0342c9f86b8p-4L, 0x3.a1709cfaecf11ce8p-4L, 0x3.a1709cfaecf11cecp-4L }, + { -0xe.a37e0fa859e499cp-4L, -0x7.83956f7028853738p-4L, -0x7.83956f702885373p-4L }, + { 0x7.23210d9474f0715p-4L, 0x5.cc1ac556913b5258p-4L, 0x5.cc1ac556913b526p-4L }, + { -0xb.755e74862e61e2bp-4L, -0x6.42b11ec6fd4c00dp-4L, -0x6.42b11ec6fd4c00c8p-4L }, + { 0x3.48cc248e266ab90cp-4L, 0x2.724bd1b7f02d354cp-4L, 0x2.724bd1b7f02d355p-4L }, + { -0xa.9a331b76f8ece94p-4L, -0x5.e47b32e80b1f837p-4L, -0x5.e47b32e80b1f8368p-4L }, + { 0x5.8312ebb25c93d22p-4L, 0x4.50bcc3442a6e832p-4L, 0x4.50bcc3442a6e8328p-4L }, + { -0xa.d41581f0036d233p-4L, -0x5.fdb41cec4e2c108p-4L, -0x5.fdb41cec4e2c1078p-4L }, + { 0x4.84a87d8107c5f408p-4L, 0x3.759419ac694e8798p-4L, 0x3.759419ac694e879cp-4L }, + { -0x1.1a592590e007fap-4L, -0xb.f1b5fdf338edbc1p-8L, -0xb.f1b5fdf338edbcp-8L }, + { 0x2.72f96b27827d2054p-4L, 0x1.ca7a491c0c9ae094p-4L, 0x1.ca7a491c0c9ae096p-4L }, + { -0x8.34634eae18e60c5p-4L, -0x4.c941052638a95e6p-4L, -0x4.c941052638a95e58p-4L }, + { 0x2.f6cff94cffe53048p-180L, 0x2.0df7fb06812da41p-180L, 0x2.0df7fb06812da414p-180L }, + { -0x3.e0779bd58963da5p-120L, -0x2.afed04ed88e2c16cp-120L, -0x2.afed04ed88e2c168p-120L }, + { 0xc.1c72a98f7733051p-4L, 0xb.09ddaf3c3330ff9p-4L, 0xb.09ddaf3c3330ffap-4L }, + { -0x9.6eacf3012c77e7p-4L, -0x5.5df25bc91430e81p-4L, -0x5.5df25bc91430e808p-4L }, + { 0x4.962ce97c4afbc1f8p-4L, 0x3.845e1e9659d35364p-4L, 0x3.845e1e9659d35368p-4L }, + { -0xa.a7735b993f17f55p-4L, -0x5.ea46e99ae5f6dce8p-4L, -0x5.ea46e99ae5f6dcep-4L }, + { 0x5.155f76560f08fccp-4L, 0x3.f1149b22956dff34p-4L, 0x3.f1149b22956dff38p-4L }, + { -0xd.32a453289bd47b3p-4L, -0x6.f7a99ad68a5d961p-4L, -0x6.f7a99ad68a5d9608p-4L }, + { 0xa.9942e7418052b4bp-4L, 0x9.52df2bbafc3218bp-4L, 0x9.52df2bbafc3218cp-4L }, + { -0x5.4f4efad2aff4f76p-4L, -0x3.49afb77e7a12385p-4L, -0x3.49afb77e7a12384cp-4L }, + { 0x3.c9e289d962998608p-4L, 0x2.da96d228ab6c8fd8p-4L, 0x2.da96d228ab6c8fdcp-4L }, + { -0x7.cc295689678770bp-4L, -0x4.962bd983de0367b8p-4L, -0x4.962bd983de0367bp-4L }, + { 0xa.8fc7c1f2a46626cp-4L, 0x9.487a90c858224c9p-4L, 0x9.487a90c858224cap-4L }, + { -0x8.a1d9201d5f09ad6p-4L, -0x4.fdf0ccee86f8d98p-4L, -0x4.fdf0ccee86f8d978p-4L }, + { 0x7.5b8ee6778ad1d64p-4L, 0x6.01a5419abf1cb4f8p-4L, 0x6.01a5419abf1cb5p-4L }, + { -0x9.d20d0f7fc98548p-4L, -0x5.8b571e52bd288448p-4L, -0x5.8b571e52bd28844p-4L }, + { 0x5.f135e81ee2608d4p-4L, 0x4.b293c42ca99fd6e8p-4L, 0x4.b293c42ca99fd6fp-4L }, + { -0x5.d981a42b6b7a36fp-4L, -0x3.94e920725edbe7d4p-4L, -0x3.94e920725edbe7dp-4L }, + { 0xa.edffe301db8be0bp-4L, 0x9.b08144d0a85602p-4L, 0x9.b08144d0a856021p-4L }, + { -0x4.5a026d37f55f1d18p-4L, -0x2.bfc10df32554a28cp-4L, -0x2.bfc10df32554a288p-4L }, + { 0x7.82c193b48128193p-4L, 0x6.2723ac59ee5faf68p-4L, 0x6.2723ac59ee5faf7p-4L }, + { -0xd.2d0fe1cd05a87f4p-4L, -0x6.f57a61e00a5f24bp-4L, -0x6.f57a61e00a5f24a8p-4L }, + { 0x5.e1494f95151c64fp-196L, 0x4.13628f9a498f05d8p-196L, 0x4.13628f9a498f05ep-196L }, + { -0x4.51babb72810e518p-140L, -0x2.fe6ee847d0741a5cp-140L, -0x2.fe6ee847d0741a58p-140L }, + { 0xb.638d8454a685474p-4L, 0xa.34a429815e10dc1p-4L, 0xa.34a429815e10dc2p-4L }, + { -0xb.9ec4e9f266dce49p-4L, -0x6.54194f84395ed2b8p-4L, -0x6.54194f84395ed2bp-4L }, + { 0xe.4b7a4c83290855cp-4L, 0xd.b8a9a282646fa0cp-4L, 0xd.b8a9a282646fa0dp-4L }, + { -0xf.13ec97b6c4f17a7p-4L, -0x7.ac86ac65cc0a8878p-4L, -0x7.ac86ac65cc0a887p-4L }, + { 0x3.8ded178a72c15bcp-4L, 0x2.a9dd11713298de98p-4L, 0x2.a9dd11713298de9cp-4L }, + { -0xd.36a9965916287d1p-4L, -0x6.f93c3981d5369078p-4L, -0x6.f93c3981d536907p-4L }, + { 0x6.b3a10f94dcd70e1p-4L, 0x5.63cd831188f697c8p-4L, 0x5.63cd831188f697dp-4L }, + { -0xc.8517674f15bbcbfp-4L, -0x6.b2be7a8ee34bfc8p-4L, -0x6.b2be7a8ee34bfc78p-4L }, + { 0xb.204e5335e697f73p-4L, 0x9.e8bb034ff53dc6p-4L, 0x9.e8bb034ff53dc61p-4L }, + { -0x8.913a951884085ddp-4L, -0x4.f60101f7884f4f6p-4L, -0x4.f60101f7884f4f58p-4L }, + { 0x4.5861903e9a2c5178p-4L, 0x3.50645bac48af734cp-4L, 0x3.50645bac48af735p-4L }, + { -0x5.24585590086993p-4L, -0x3.31f08d8ca7e0c6e4p-4L, -0x3.31f08d8ca7e0c6ep-4L }, + { 0xf.2ba8f23d35f13f9p-4L, 0xe.dedc34179a9e3acp-4L, 0xe.dedc34179a9e3adp-4L }, + { -0xa.3ecdb386b33fbe5p-4L, -0x5.bc2672b634fa598p-4L, -0x5.bc2672b634fa5978p-4L }, + { 0x9.9b8e544f05c6de4p-8L, 0x6.bf33cd9ab91f6d28p-8L, 0x6.bf33cd9ab91f6d3p-8L }, + { -0x7.abd5585035c4696p-4L, -0x4.862497557f052a6p-4L, -0x4.862497557f052a58p-4L }, + { 0xa.e654e5ca1c1d1fbp-4L, 0x9.a7fa0d5fa5d62cbp-4L, 0x9.a7fa0d5fa5d62ccp-4L }, + { -0x7.8b963b5c9698ae88p-8L, -0x5.2d4a519ba339886p-8L, -0x5.2d4a519ba3398858p-8L }, + { 0xb.ea47beace8589dep-4L, 0xa.cf59bd897bb1319p-4L, 0xa.cf59bd897bb131ap-4L }, + { -0x3.8f66d5a2d60e1fc8p-4L, -0x2.496dee34a71055ap-4L, -0x2.496dee34a710559cp-4L }, + { 0x3.1a53eaa26d0157p-188L, 0x2.269608f745c0b83p-188L, 0x2.269608f745c0b834p-188L }, + { -0x8.6659e1a891ccbd3p-96L, -0x5.d282825fc03c7ca8p-96L, -0x5.d282825fc03c7cap-96L }, + { 0x9.4ae3410622cd598p-4L, 0x7.ee3a22f81622643p-4L, 0x7.ee3a22f816226438p-4L }, + { -0x9.b8fe7ab721fb04cp-4L, -0x5.7ff768a6654000e8p-4L, -0x5.7ff768a6654000ep-4L }, + { 0x4.ee554b54200eeb18p-4L, 0x3.cf77028b579146a8p-4L, 0x3.cf77028b579146acp-4L }, + { -0x1.e1d0727b5f12c23cp-8L, -0x1.4d1e625247cef1dap-8L, -0x1.4d1e625247cef1d8p-8L }, + { 0x8.f3637cea7b9b0b8p-4L, 0x7.942f15c8b77d89c8p-4L, 0x7.942f15c8b77d89dp-4L }, + { -0x2.f3202c602060bd7cp-4L, -0x1.eb59cec0fd5e5b22p-4L, -0x1.eb59cec0fd5e5b2p-4L }, + { 0xc.cdb9d9e3a3a5b61p-4L, 0xb.dcaaf5c009c0684p-4L, 0xb.dcaaf5c009c0685p-4L }, + { -0x5.7ddc79efb147e828p-4L, -0x3.63390bf8b99265d4p-4L, -0x3.63390bf8b99265dp-4L }, + { 0x6.7236b6f8976437ap-4L, 0x5.27852c069a4fd5ep-4L, 0x5.27852c069a4fd5e8p-4L }, + { -0x5.e1ad137b44bc3ad8p-4L, -0x3.994d814216774764p-4L, -0x3.994d81421677476p-4L }, + { 0xb.f5ec1a26fcc9d7ep-4L, 0xa.dce2b2a69a74106p-4L, 0xa.dce2b2a69a74107p-4L }, + { -0xd.dcb826624975b1ep-4L, -0x7.394429db03b0d5e8p-4L, -0x7.394429db03b0d5ep-4L }, + { 0x1.a983e64980e6104p-4L, 0x1.31d2cb35db04030ep-4L, 0x1.31d2cb35db04031p-4L }, + { -0xa.14ebef82079ff92p-4L, -0x5.a9758de717320278p-4L, -0x5.a9758de71732027p-4L }, + { 0x1.e4fcc97f32b404d8p-4L, 0x1.5e5913e4b0dadd5ep-4L, 0x1.5e5913e4b0dadd6p-4L }, + { -0xe.9391126d81ddf25p-4L, -0x7.7db899379b97afep-4L, -0x7.7db899379b97afd8p-4L }, + { 0xb.83be497f42b1776p-8L, 0x8.1b67845064d833ap-8L, 0x8.1b67845064d833bp-8L }, + { -0xb.6c13349b9671c7bp-4L, -0x6.3ec4737bebffb8f8p-4L, -0x6.3ec4737bebffb8fp-4L }, + { 0xd.00d476fab7a907dp-4L, 0xc.1a9e868d759da06p-4L, 0xc.1a9e868d759da07p-4L }, + { -0x3.bf394566ed3e5a44p-4L, -0x2.65b989f46e7a2458p-4L, -0x2.65b989f46e7a2454p-4L }, + { 0x7.4a72aacaec9cd52p-52L, 0x5.0db91de577a1e5c8p-52L, 0x5.0db91de577a1e5dp-52L }, + { -0x4.3354d8429f36037p-24L, -0x2.e95ce5bede67faap-24L, -0x2.e95ce5bede67fa9cp-24L }, + { 0x5.431e650334b97d18p-4L, 0x4.18c10ccaa716c258p-4L, 0x4.18c10ccaa716c26p-4L }, + { -0xf.1eb2c535e06fba3p-4L, -0x7.b068a3edafc6822p-4L, -0x7.b068a3edafc68218p-4L }, + { 0x8.54a857fb1034b62p-4L, 0x6.f433cc318f296fep-4L, 0x6.f433cc318f296fe8p-4L }, + { -0xa.d3c15d582c446d9p-4L, -0x5.fd8fa08a9be23ac8p-4L, -0x5.fd8fa08a9be23acp-4L }, + { 0xc.cb73edcbfcb307fp-4L, 0xb.d9ecb2c64e8df6bp-4L, 0xb.d9ecb2c64e8df6cp-4L }, + { -0x3.fb61f1b2cf35f60cp-4L, -0x2.88fef3c7864d396cp-4L, -0x2.88fef3c7864d3968p-4L }, + { 0x9.d7eb5c50bc8c632p-4L, 0x8.8231f68c5c65f6cp-4L, 0x8.8231f68c5c65f6dp-4L }, + { -0x4.d312891f5f4e786p-4L, -0x3.048b329391356fc8p-4L, -0x3.048b329391356fc4p-4L }, + { 0xe.ae0633b99b178edp-4L, 0xe.389ce9e10301401p-4L, 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-0x4.b257711af2be1e7p-4L }, + { 0x1.66b64b9c9f79a1dep-4L, 0x1.00578a1c0c673a1p-4L, 0x1.00578a1c0c673a12p-4L }, + { -0x3.26b75fa52c7ce30cp-4L, -0x2.0aaf1c1238c99944p-4L, -0x2.0aaf1c1238c9994p-4L }, + { 0x9.da5604fb75e8d87p-4L, 0x8.84c2f5daaacf75ep-4L, 0x8.84c2f5daaacf75fp-4L }, + { -0x8.f39b1339c38973dp-4L, -0x5.24a94b90f03e7ed8p-4L, -0x5.24a94b90f03e7edp-4L }, + { 0x7.677b36d2e1d48358p-4L, 0x6.0d06229c56a97f4p-4L, 0x6.0d06229c56a97f48p-4L }, + { -0xa.996804efaa5460cp-4L, -0x5.e4224415b8782278p-4L, -0x5.e4224415b878227p-4L }, + { 0x6.b6c06e4a29c88afp-4L, 0x5.66b27094b245b1ep-4L, 0x5.66b27094b245b1e8p-4L }, + { -0x5.a5149fe9b18171c8p-4L, -0x3.7894bad1006fb798p-4L, -0x3.7894bad1006fb794p-4L }, + { 0x5.375a31264862647p-4L, 0x4.0e852a933247c008p-4L, 0x4.0e852a933247c01p-4L }, + { -0xc.55651fd1cbee3d4p-4L, -0x6.9f72345b02eab28p-4L, -0x6.9f72345b02eab278p-4L }, + { 0xe.006deb92f93d672p-4L, 0xd.58a49a5d8de28c4p-4L, 0xd.58a49a5d8de28c5p-4L }, + { -0xa.6871090121d471bp-4L, -0x5.ce99fb28aafa5bb8p-4L, -0x5.ce99fb28aafa5bbp-4L }, + { 0xc.8ed445e1ea26da6p-4L, 0xb.9126f62f86bcb47p-4L, 0xb.9126f62f86bcb48p-4L }, + { -0x3.70640030d409ab74p-4L, -0x2.36f53ff3b132cba8p-4L, -0x2.36f53ff3b132cba4p-4L }, + { 0x2.219473696b04364cp-96L, 0x1.7a2acafbc3adc14ep-96L, 0x1.7a2acafbc3adc15p-96L }, + { -0xd.bdc3902e400dcddp-144L, -0x9.865401201b95f7ap-144L, -0x9.865401201b95f79p-144L }, + { 0xb.b53f28201a854efp-4L, 0xa.9207b77bb750cf7p-4L, 0xa.9207b77bb750cf8p-4L }, + { -0x4.28b1a78cc7055bd8p-4L, -0x2.a3536d42907d291p-4L, -0x2.a3536d42907d290cp-4L }, + { 0xd.e2cee7a54e7c7dfp-4L, 0xd.331435f3041bf4fp-4L, 0xd.331435f3041bf5p-4L }, + { -0x9.3f6896a8070ab3ep-4L, -0x5.4816171c316ed77p-4L, -0x5.4816171c316ed768p-4L }, + { 0x1.a1524a334652c37cp-4L, 0x1.2bb95dd5b9658e26p-4L, 0x1.2bb95dd5b9658e28p-4L }, + { -0x1.9b7f6344a4875e14p-4L, -0x1.13861edcadba3e08p-4L, -0x1.13861edcadba3e06p-4L }, + { 0xb.4660bc20f1141f9p-4L, 0xa.1399f4f27c33975p-4L, 0xa.1399f4f27c33976p-4L }, + { -0xd.9888197bcafba2ap-4L, -0x7.1f30db722ee63d78p-4L, -0x7.1f30db722ee63d7p-4L }, + { 0xf.3adad3101e81209p-4L, 0xe.f33515340a557e4p-4L, 0xe.f33515340a557e5p-4L }, + { -0xa.79ea74b25ad8a16p-4L, -0x5.d64e6bad7c9fffc8p-4L, -0x5.d64e6bad7c9fffcp-4L }, + { 0xd.4d87683a39ac568p-4L, 0xc.789c1f6e5dcac31p-4L, 0xc.789c1f6e5dcac32p-4L }, + { -0xd.0f2848388d6bd4fp-4L, -0x6.e9bc44c0f7734168p-4L, -0x6.e9bc44c0f773416p-4L }, + { 0x5.d9fb99a27648b5d8p-4L, 0x4.9dca7407214af058p-4L, 0x4.9dca7407214af06p-4L }, + { -0x1.705dc2d9924977d6p-4L, -0xf.7895af9cd8410b4p-8L, -0xf.7895af9cd8410b3p-8L }, + { 0xe.de1ad3b0df8a929p-4L, 0xe.77d17cd52544381p-4L, 0xe.77d17cd52544382p-4L }, + { -0xe.4bc9f399afa1199p-4L, -0x7.6319db0e3314bc98p-4L, -0x7.6319db0e3314bc9p-4L }, + { 0x9.4bc88b56990e957p-4L, 0x7.ef27dce522664078p-4L, 0x7.ef27dce52266408p-4L }, + { -0xe.2a8337406c02664p-4L, -0x7.56a65648e9cbee38p-4L, -0x7.56a65648e9cbee3p-4L }, +}; + +int check_equal(long double res, long double expected) +{ + if (res != expected) { + return 0; + } + return (__builtin_copysignl(1.0L, res) == + __builtin_copysignl(1.0L, expected)); +} + +int main(void) +{ + int ret = 0; + int i; + for (i = 0; i < sizeof(tests) / sizeof(tests[0]); i++) { + long double ld_res; + __asm__ volatile ("f2xm1" : "=t" (ld_res) : "0" (tests[i].arg)); + if (!check_equal(ld_res, tests[i].down) && + !check_equal(ld_res, tests[i].up)) { + printf("FAIL: f2xm1 %La, expected %La or %La, got %La\n", + tests[i].arg, tests[i].down, tests[i].up, ld_res); + ret = 1; + } + } + return ret; +} |