From 1f18a1e6ab8368a4eab2d22894d3b2ae75250cd3 Mon Sep 17 00:00:00 2001 From: Joseph Myers Date: Wed, 17 Jun 2020 23:24:29 +0000 Subject: target/i386: reimplement fyl2x using floatx80 operations The x87 fyl2x emulation is currently based around conversion to double. This is inherently unsuitable for a good emulation of any floatx80 operation. Reimplement using the soft-float operations, building on top of the reimplementation of fyl2xp1 and factoring out code to be shared between the two instructions. The included test assumes that the result in round-to-nearest mode should always be one of the two closest floating-point numbers to the mathematically exact result (including that it should be exact, in the exact cases which cover more cases than for fyl2xp1). Signed-off-by: Joseph Myers Message-Id: Signed-off-by: Paolo Bonzini --- tests/tcg/i386/test-i386-fyl2x.c | 1161 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 1161 insertions(+) create mode 100644 tests/tcg/i386/test-i386-fyl2x.c (limited to 'tests/tcg') diff --git a/tests/tcg/i386/test-i386-fyl2x.c b/tests/tcg/i386/test-i386-fyl2x.c new file mode 100644 index 0000000000..71d7a8fc99 --- /dev/null +++ b/tests/tcg/i386/test-i386-fyl2x.c @@ -0,0 +1,1161 @@ +/* Test fyl2x instruction. */ + +#include + +struct test { + long double arg0, arg1, down, up; +}; + +const struct test tests[] = { + { 1.0L, 12345.0L, 0.0L, 0.0L }, + { 1.0L, -12345.0L, -0.0L, -0.0L }, + { 1.0L, 0.0L, 0.0L, 0.0L }, + { 1.0L, -0.0L, -0.0L, -0.0L }, + { 0.1L, 0.0L, -0.0L, -0.0L }, + { 0.1L, -0.0L, 0.0L, 0.0L }, + { 1.1L, 0.0L, 0.0L, 0.0L }, + { 1.1L, -0.0L, -0.0L, -0.0L }, + { 0.0L, __builtin_infl(), -__builtin_infl(), -__builtin_infl() }, + { 0.0L, -__builtin_infl(), __builtin_infl(), __builtin_infl() }, + { -0.0L, __builtin_infl(), -__builtin_infl(), -__builtin_infl() }, + { -0.0L, -__builtin_infl(), __builtin_infl(), __builtin_infl() }, + { 0.0L, 12345.0L, -__builtin_infl(), -__builtin_infl() }, + { 0.0L, -12345.0L, __builtin_infl(), __builtin_infl() }, + { -0.0L, 12345.0L, -__builtin_infl(), -__builtin_infl() }, + { -0.0L, -12345.0L, __builtin_infl(), __builtin_infl() }, + { 0.1L, __builtin_infl(), -__builtin_infl(), -__builtin_infl() }, + { 0.1L, -__builtin_infl(), __builtin_infl(), __builtin_infl() }, + { 1.1L, __builtin_infl(), __builtin_infl(), __builtin_infl() }, + { 1.1L, -__builtin_infl(), -__builtin_infl(), -__builtin_infl() }, + { 4.0L, 1.5L, 3.0L, 3.0L }, + { 0x1p-16400L, 1.5L, -24600.0L, -24600.0L }, + /* Randomly generated tests. */ + { 0x2.0a40b4bd6349d53p+14380L, -0x3.612a1cec52e70388p-14116L, -0xb.dd9637a24570d1ap-14104L, -0xb.dd9637a24570d19p-14104L }, + { 0xa.a3dc18b1eff7e8ap-4L, 0x7.423575b7ac0ba6a8p-7212L, -0x4.45ac6ae2f9cc1a7p-7212L, -0x4.45ac6ae2f9cc1a68p-7212L }, + { 0x1.51167cab1deec25ep-9616L, 0xb.79bece734a62216p-14512L, -0x1.af0880f05109d5c8p-14496L, -0x1.af0880f05109d5c6p-14496L }, + { 0x1.55691f3dee65eb88p+6420L, -0x2.e081398cd6691b98p-2640L, -0x4.8275aa22ebb6ebe8p-2628L, -0x4.8275aa22ebb6ebep-2628L }, + { 0x3.71cca195c06ba4d4p-6312L, -0xb.14b747fa4cc13d1p+5052L, 0x1.112301748a1cc83p+5068L, 0x1.112301748a1cc832p+5068L }, + { 0x2.0f924dde0806572p+8924L, -0x7.ece8699d62a9f76p-14464L, -0x1.144eba5c079d0fa2p-14448L, -0x1.144eba5c079d0fap-14448L }, + { 0x4.b875c0342c9f86b8p-5832L, 0xe.a37e0fa859e499cp+732L, -0x1.4d5bc95e2af0bb08p+748L, -0x1.4d5bc95e2af0bb06p+748L }, + { 0x7.23210d9474f0715p+364L, -0x5.baaf3a431730f158p-2436L, -0x8.35afbc04cd37fafp-2428L, -0x8.35afbc04cd37faep-2428L }, + { 0xd.2330923899aae43p+776L, 0x2.a68cc6ddbe3b3a5p+6528L, 0x8.12b3f5a7b346e37p+6536L, 0x8.12b3f5a7b346e38p+6536L }, + { 0x2.c18975d92e49e91p+10120L, 0x5.6a0ac0f801b69198p+9064L, 0xd.60fe44e0b41da9dp+9076L, 0xd.60fe44e0b41da9ep+9076L }, + { 0x9.0950fb020f8be81p-11076L, -0x4.69649643801fe8p+14796L, 0xb.ed1e14ac1ee3159p+14808L, 0xb.ed1e14ac1ee315ap+14808L }, + { 0x9.cbe5ac9e09f4815p+8052L, -0x1.068c69d5c31cc18ap+8068L, -0x2.04558d1bf9a219b4p+8080L, -0x2.04558d1bf9a219bp+8080L }, + { 0x2.8158a2ep-16416L, 0x1.2f720ae47b67fca8p+13452L, -0x4.c00deece9e0fbdd8p+13464L, -0x4.c00deece9e0fbddp+13464L }, + { 0x3.0acd5bcfe0779bd4p+13040L, -0xe.d3cd27fc1c72a99p+11224L, -0x2.f35c6ed58511949p+11240L, -0x2.f35c6ed58511948cp+11240L }, + { 0xb.58a8c4316eacf31p-584L, 0x1.501f01a1258b3a5ep-10084L, -0x2.fa2ce9d2db22ad5cp-10076L, -0x2.fa2ce9d2db22ad58p-10076L }, + { 0x8.97f4540aa7735bap+13532L, -0x3.b7afc1088aafbb28p-9804L, -0xc.48d1793ca776382p-9792L, -0xc.48d1793ca776381p-9792L }, + { 0x5.1f9f41429952299p-6688L, -0x1.385afe2753285ceap-632L, 0x1.fdd68ec1544cca1ap-620L, 0x1.fdd68ec1544cca1cp-620L }, + { 0x2.95674162a7a77d6cp-11476L, -0x6.9ad188a393c513bp-8912L, 0x1.280b2d9ef35a1b0ep-8896L, 0x1.280b2d9ef35a1b1p-8896L }, + { 0x1.11caeb05f30a55a2p-5048L, 0xa.6b25eb8a8fc7c1fp+6868L, -0xc.d6fd12efe012db1p+6880L, -0xc.d6fd12efe012dbp+6880L }, + { 0x3.c980e98228764804p-5832L, 0x9.5de74e6eb71dccfp+1992L, -0xd.5513ed4865b07fep+2004L, -0xd.5513ed4865b07fdp+2004L }, + { 0xd.16b2f891d20d0f8p+7300L, -0x1.ab0872107c4d7a06p+5924L, -0x2.f974d3a68daf1cacp+5936L, -0x2.f974d3a68daf1ca8p+5936L }, + { 0x6.c6090865d981a428p-8676L, -0xd.23a3619aedffe31p+5328L, 0x1.bd2789bab1d1088cp+5344L, 0x1.bd2789bab1d1088ep+5344L }, + { 0x2.0d4fa66a2d01369cp-4156L, -0x5.a0e8f41f82c193bp+6724L, 0x5.b5a6f9779b0a4488p+6736L, 0x5.b5a6f9779b0a449p+6736L }, + { 0x1.ba2a72afa5a1fc38p+0L, 0xe.027c0b9bc2929f3p+11120L, 0xb.0bbdb58c72375d9p+11120L, 0xb.0bbdb58c72375dap+11120L }, + { 0xf.cc716330a37576ep-5424L, -0xd.a67cd50b638d845p-4460L, 0x1.21011acae853070ap-4444L, 0x1.21011acae853070cp-4444L }, + { 0x2.7699390ee7b13a7cp+8364L, -0x1.d8cb9730c96f499p+432L, -0x3.c598297e793d4e98p+444L, -0x3.c598297e793d4e94p+444L }, + { 0x4.6b0173e789f64bd8p-960L, -0x2.140353c78ded1788p+8748L, 0x7.c6982a68b41c327p+8756L, 0x7.c6982a68b41c3278p+8756L }, + { 0xc.08b122dd36a9965p+11804L, -0xa.c8e6364d67421f2p+12272L, -0x1.f16e0be947126474p+12288L, -0x1.f16e0be947126472p+12288L }, + { 0x9.cafbcd348517675p+784L, 0x4.148eb9b190272998p-1420L, 0xc.8c638141b3c6b91p-1412L, 0xc.8c638141b3c6b92p-1412L }, + { 0x4.6a571cdc489d4a9p-12352L, -0x8.a8aa4198b0c3207p+7748L, 0x1.a1b789910f110f64p+7764L, 0x1.a1b789910f110f66p+7764L }, + { 0x7.e9b228c12458559p+4928L, -0xb.2c5bdfaf2ba8f24p+56L, -0xd.73740755eb037a7p+68L, -0xd.73740755eb037a6p+68L }, + { 0xd.d2e346da3ecdb39p-1636L, -0x5.8d0ce8c4cdc72a28p+12736L, 0x2.3645e062564a6de4p+12748L, 0x2.3645e062564a6de8p+12748L }, + { 0x9.b624ea7f57aab0ap-8780L, -0x2.5e13b5ceb995397p-6416L, 0x5.12ac8402317cf408p-6404L, 0x5.12ac8402317cf41p-6404L }, + { 0x7.6d8427638b963b58p+12536L, 0x4.021f2d6df523df5p-14208L, 0xc.4537f396f309b57p-14196L, 0xc.4537f396f309b58p-14196L }, + { 0x1.8273f77fc7b36adp+0L, 0x2.f4e4c4891a53eaap-4624L, 0x1.c1b52b72090b9f64p-4624L, 0x1.c1b52b72090b9f66p-4624L }, + { 0x1.c92a5ddc0ccb3c36p+11600L, 0x1.090c0001295c6822p-4904L, 0x2.eeacd7b5643f39ecp-4892L, 0x2.eeacd7b5643f39fp-4892L }, + { 0xd.32c71819b8fe7abp-1688L, -0x6.3d33ce38ee554b58p-14512L, 0x2.90c54596d3bf22ecp-14500L, 0x2.90c54596d3bf22fp-14500L }, + { 0x1.0776fe51e1d0727cp+5752L, 0x1.4264622f1e6c6f9ep+12300L, 0x1.c4bccdc673bd74bap+12312L, 0x1.c4bccdc673bd74bcp+12312L }, + { 0x1.81f41db779901632p-10716L, -0x8.66aed834cdb9d9fp+4436L, 0x1.5fa54511d99a6f4ap+4452L, 0x1.5fa54511d99a6f4cp+4452L }, + { 0xc.9b4feccafbb8f3ep-5320L, -0xe.ccfc061ce46d6dfp+13440L, 0x1.335db86628278a4cp+13456L, 0x1.335db86628278a4ep+13456L }, + { 0x6.4ffb2045e1ad1378p-6564L, 0xf.7dfd3273f5ec1a3p+9724L, -0x1.8d1141c2de30f8eap+9740L, -0x1.8d1141c2de30f8e8p+9740L }, + { 0x2.ad90d677772e099cp+13112L, -0x2.830a812d5307cc94p-6908L, -0x8.0ab53e41596b795p-6896L, -0x8.0ab53e41596b794p-6896L }, + { 0x1.7bf51909429d7df2p-520L, -0x3.3d489a77c9f992fcp+5672L, 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}, + { 0x1.42d057efa3eb1b9p-6636L, -0x6.64151de2cb7dab68p+14856L, 0xa.5a83005207a7a31p+14868L, 0xa.5a83005207a7a32p+14868L }, + { 0x3.5e66ae0c3ef31cc8p-13572L, -0x1.fa8c3fd05e77645ep-2452L, 0x6.8e37bd270fc92fb8p-2440L, 0x6.8e37bd270fc92fcp-2440L }, + { 0x6.001cd5c28a310bd8p+4224L, 0x4.c1b839282f6ff928p-11728L, 0x4.e88ab9284208a73p-11716L, 0x4.e88ab9284208a738p-11716L }, + { 0x2.2523780824d5de6cp+6472L, 0x1.b994f4a4f7e37afcp-8880L, 0x2.b9da3fa65283fa3p-8868L, 0x2.b9da3fa65283fa34p-8868L }, + { 0x5.6eec466c7bffa06p-608L, -0x1.97289654800c49b6p-8972L, 0x3.c31e2f1c37735488p-8964L, 0x3.c31e2f1c3773548cp-8964L }, + { 0x1.ca72ccc65efa7b72p-6772L, 0x5.f8e4e1978952a4ap-11212L, -0x9.df7016942b5d202p-11200L, -0x9.df7016942b5d201p-11200L }, + { 0xf.c6d22b8e29913f1p+9424L, -0xe.a6d7654fc1271b1p+1136L, -0x2.1b98288c7d75e8e8p+1152L, -0x2.1b98288c7d75e8e4p+1152L }, + { 0x1.61e8e00c140fee84p-9076L, -0x8.36dc1307ce2fc6p+14524L, 0x1.23351bc9d473a88p+14540L, 0x1.23351bc9d473a882p+14540L }, + { 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0x5.89011895dd2bfa1p+9524L, 0x2.eeb5173dba868ba4p+9536L, 0x2.eeb5173dba868ba8p+9536L }, + { 0x5.5e6fb8e79a725d4p-10600L, 0x3.4479f5178f043be4p+5416L, -0x8.7436da836e63732p+5428L, -0x8.7436da836e63731p+5428L }, + { 0x4.bac9e5fddf2f185p+7280L, 0x2.f6cd56a85259e42p+12372L, 0x5.45114581f9e1dacp+12384L, 0x5.45114581f9e1dac8p+12384L }, + { 0x4.483dd9562600d12p-9412L, -0xa.91077e9f213cfefp-5060L, 0x1.8465eb7223d017dep-5044L, 0x1.8465eb7223d017ep-5044L }, + { 0x6.89490ba0c6021cbp-10152L, -0x1.93dd39b70d0c7806p+3368L, 0x3.e8b771e60bf65d74p+3380L, 0x3.e8b771e60bf65d78p+3380L }, + { 0x6.a491ee61660c85b8p-8176L, -0x8.c58567eeb3bfc0fp+1020L, 0x1.180c5e553f4e3ccap+1036L, 0x1.180c5e553f4e3cccp+1036L }, + { 0xd.f08f28601b06388p+13780L, 0x1.f2be9ba2b44f15dep+7068L, 0x6.8e5e3dc0bd5a4308p+7080L, 0x6.8e5e3dc0bd5a431p+7080L }, + { 0x7.457d5fa8p-16416L, 0x5.36121d8b16e4023p+12776L, -0x1.4e1c5f378a2e9af4p+12792L, -0x1.4e1c5f378a2e9af2p+12792L }, + { 0x4.1748a66d103e0fa8p+2480L, -0xb.d4d5cce3f37beb6p-5748L, 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0x1.63ee6ef689e23e96p-8208L, 0x1.63ee6ef689e23e98p-8208L }, + { 0x1.18572e37370fa8eap-5800L, -0x5.6bd9b71f1fad727p-10896L, 0x7.ad2c6c0e239a106p-10884L, 0x7.ad2c6c0e239a1068p-10884L }, + { 0x4.338ea3e8p-16416L, 0x7.6d96c7989caed318p+6588L, -0x1.dc4402ce4443924cp+6604L, -0x1.dc4402ce4443924ap+6604L }, + { 0x5.b84f9fac30c5708p+7284L, 0x2.75e933325654ae8cp-9812L, 0x4.6092020d634cd7e8p-9800L, 0x4.6092020d634cd7fp-9800L }, + { 0x3.3e8858dcbe489fccp-14240L, 0x7.1714d40b275a0028p+2264L, -0x1.8a57dcc28e880ca2p+2280L, -0x1.8a57dcc28e880cap+2280L }, + { 0x9.afa19306462ec46p-4888L, -0x3.32b794a45c3dca3p-11648L, 0x3.d05e73304663623cp-11636L, 0x3.d05e73304663624p-11636L }, + { 0xd.6eaf9e68e259a17p+1236L, 0x1.cae4c43fd3dd00fcp+568L, 0x8.ae504857a6a66dap+576L, 0x8.ae504857a6a66dbp+576L }, + { 0x1.5385af8dce743fa2p+4740L, 0xc.6bc92b4c49f5ed6p-10560L, 0xe.600c818b9dbc8e6p-10548L, 0xe.600c818b9dbc8e7p-10548L }, + { 0x2.6955eff09a469d1p-5464L, 0x1.bf618641435e7edep-13260L, -0x2.54a916727d0b84p-13248L, -0x2.54a916727d0b83fcp-13248L }, + { 0xb.b90392d51073b9p+2700L, -0xb.85d9396b5e43565p-13416L, -0x7.9b09aa40c40f5878p-13404L, -0x7.9b09aa40c40f587p-13404L }, + { 0x1.4e74d9c2a57143e4p+3248L, 0x1.3eb38c672955f3f6p-14744L, 0xf.cc00ef9a86640aap-14736L, 0xf.cc00ef9a86640abp-14736L }, + { 0x2.ffdfeb1e2d7afdcp-4136L, -0x4.d00269c32889b9bp-5536L, 0x4.db90696a8a4897cp-5524L, 0x4.db90696a8a4897c8p-5524L }, + { 0x4.31404d22df9d95fp-7388L, 0x1.0fe8d9c29ebdb07ep+764L, -0x1.ea4f1ad3071fc356p+776L, -0x1.ea4f1ad3071fc354p+776L }, + { 0x5.0dda6b7p-16416L, 0x2.4106f760ba40ae1p-596L, -0x9.08499f030f1555dp-584L, -0x9.08499f030f1555cp-584L }, + { 0x7.8bae544d63ec3028p-7564L, -0xc.a0b5e26f909cb8bp+6516L, 0x1.74f7acb203909964p+6532L, 0x1.74f7acb203909966p+6532L }, + { 0x5.4c3c08113f951888p-2412L, -0x9.c30a7694e19585ep-7016L, 0x5.be22b69ad1450abp-7004L, 0x5.be22b69ad1450ab8p-7004L }, + { 0x5.afb9c4521af8ad88p-5172L, -0x5.37c3c13b646fb49p+9220L, 0x6.95d89660c2da22f8p+9232L, 0x6.95d89660c2da23p+9232L }, + { 0x1.cd7081ce9dc8e7b6p+88L, -0x1.867a488422075acp-1032L, -0x8.785f0a1c2ad14f6p-1028L, -0x8.785f0a1c2ad14f5p-1028L }, + { 0xc.eab3815fae9cc61p-4692L, 0x8.ffb864f70ff47bcp+14852L, -0xa.4cda82a0bacc544p+14864L, -0xa.4cda82a0bacc543p+14864L }, + { 0x9.034b59783532405p-14652L, 0x1.068f1b119399b4fep+8912L, -0x3.ab025bbdc4919f7p+8924L, -0x3.ab025bbdc4919f6cp+8924L }, + { 0x2.7ea6fa3a41a2ed88p+13384L, -0x1.cb41210310ca777cp-2836L, -0x5.dccc2ba4750423a8p-2824L, -0x5.dccc2ba4750423ap-2824L }, + { 0x7.07a46917c6845538p-11804L, 0xe.2919c752d6e306p+14380L, -0x2.8cc7496f5889be98p+14396L, -0x2.8cc7496f5889be94p+14396L }, + { 0x1.e93b47f4fe49cc4p+3472L, -0xc.48da1160ad2d58bp-8004L, -0xa.6a788032e89083ap-7992L, -0xa.6a788032e890839p-7992L }, +}; + +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 ("fyl2x" : "=t" (ld_res) : + "0" (tests[i].arg0), "u" (tests[i].arg1) : "st(1)"); + if (!check_equal(ld_res, tests[i].down) && + !check_equal(ld_res, tests[i].up)) { + printf("FAIL: fyl2x %La %La, expected %La or %La, got %La\n", + tests[i].arg0, tests[i].arg1, tests[i].down, tests[i].up, + ld_res); + ret = 1; + } + } + return ret; +} -- cgit v1.2.3-55-g7522