// Copyright Naoki Shibata and contributors 2010 - 2023. // Distributed under the Boost Software License, Version 1.0. // (See accompanying file LICENSE.txt or copy at // http://www.boost.org/LICENSE_1_0.txt) #include #include #include #include #include #include #include #include #ifdef ENABLE_SYS_getrandom #define _GNU_SOURCE #include #include #endif #include "sleef.h" #include "quaddef.h" #include "testerutil.h" #ifdef ENABLE_SSE2 #define CONFIG 2 #include "helpersse2.h" #include "renamesse2.h" typedef Sleef___m128d_2 vdouble2; typedef Sleef___m128_2 vfloat2; #endif #ifdef ENABLE_SSE4 #define CONFIG 4 #include "helpersse2.h" #include "renamesse4.h" typedef Sleef___m128d_2 vdouble2; typedef Sleef___m128_2 vfloat2; #endif #ifdef ENABLE_AVX #define CONFIG 1 #include "helperavx.h" #include "renameavx.h" typedef Sleef___m256d_2 vdouble2; typedef Sleef___m256_2 vfloat2; #endif #ifdef ENABLE_FMA4 #define CONFIG 4 #include "helperavx.h" #include "renamefma4.h" typedef Sleef___m256d_2 vdouble2; typedef Sleef___m256_2 vfloat2; #endif #ifdef ENABLE_AVX2 #define CONFIG 1 #include "helperavx2.h" #include "renameavx2.h" typedef Sleef___m256d_2 vdouble2; typedef Sleef___m256_2 vfloat2; #endif #ifdef ENABLE_AVX2128 #define CONFIG 1 #include "helperavx2_128.h" #include "renameavx2128.h" typedef Sleef___m128d_2 vdouble2; typedef Sleef___m128_2 vfloat2; #endif #ifdef ENABLE_AVX512F #define CONFIG 1 #include "helperavx512f.h" #include "renameavx512f.h" typedef Sleef___m512d_2 vdouble2; typedef Sleef___m512_2 vfloat2; #endif #ifdef ENABLE_AVX512FNOFMA #define CONFIG 2 #include "helperavx512f.h" #include "renameavx512fnofma.h" typedef Sleef___m512d_2 vdouble2; typedef Sleef___m512_2 vfloat2; #endif #ifdef ENABLE_VECEXT #define CONFIG 1 #include "helpervecext.h" #include "norename.h" #endif #ifdef ENABLE_PUREC #define CONFIG 1 #include "helperpurec.h" #include "norename.h" #endif #ifdef ENABLE_ADVSIMD #define CONFIG 1 #include "helperadvsimd.h" #include "renameadvsimd.h" typedef Sleef_float64x2_t_2 vdouble2; typedef Sleef_float32x4_t_2 vfloat2; #endif #ifdef ENABLE_ADVSIMDNOFMA #define CONFIG 2 #include "helperadvsimd.h" #include "renameadvsimdnofma.h" typedef Sleef_float64x2_t_2 vdouble2; typedef Sleef_float32x4_t_2 vfloat2; #endif #ifdef ENABLE_SVE #define CONFIG 1 #include "helpersve.h" #include "renamesve.h" #endif /* ENABLE_SVE */ #ifdef ENABLE_SVENOFMA #define CONFIG 2 #include "helpersve.h" #include "renamesvenofma.h" #endif #ifdef ENABLE_VSX #define CONFIG 1 #include "helperpower_128.h" #include "renamevsx.h" typedef Sleef_SLEEF_VECTOR_DOUBLE_2 vdouble2; typedef Sleef_SLEEF_VECTOR_FLOAT_2 vfloat2; #endif #ifdef ENABLE_VSXNOFMA #define CONFIG 2 #include "helperpower_128.h" #include "renamevsxnofma.h" typedef Sleef_SLEEF_VECTOR_DOUBLE_2 vdouble2; typedef Sleef_SLEEF_VECTOR_FLOAT_2 vfloat2; #endif #ifdef ENABLE_VSX3 #define CONFIG 3 #include "helperpower_128.h" #include "renamevsx3.h" typedef Sleef_SLEEF_VECTOR_DOUBLE_2 vdouble2; typedef Sleef_SLEEF_VECTOR_FLOAT_2 vfloat2; #endif #ifdef ENABLE_VSX3NOFMA #define CONFIG 4 #include "helperpower_128.h" #include "renamevsx3nofma.h" typedef Sleef_SLEEF_VECTOR_DOUBLE_2 vdouble2; typedef Sleef_SLEEF_VECTOR_FLOAT_2 vfloat2; #endif #ifdef ENABLE_VXE #define CONFIG 140 #include "helpers390x_128.h" #include "renamevxe.h" typedef Sleef_SLEEF_VECTOR_DOUBLE_2 vdouble2; typedef Sleef_SLEEF_VECTOR_FLOAT_2 vfloat2; #endif #ifdef ENABLE_VXENOFMA #define CONFIG 141 #include "helpers390x_128.h" #include "renamevxenofma.h" typedef Sleef_SLEEF_VECTOR_DOUBLE_2 vdouble2; typedef Sleef_SLEEF_VECTOR_FLOAT_2 vfloat2; #endif #ifdef ENABLE_VXE2 #define CONFIG 150 #include "helpers390x_128.h" #include "renamevxe2.h" typedef Sleef_SLEEF_VECTOR_DOUBLE_2 vdouble2; typedef Sleef_SLEEF_VECTOR_FLOAT_2 vfloat2; #endif #ifdef ENABLE_VXE2NOFMA #define CONFIG 151 #include "helpers390x_128.h" #include "renamevxe2nofma.h" typedef Sleef_SLEEF_VECTOR_DOUBLE_2 vdouble2; typedef Sleef_SLEEF_VECTOR_FLOAT_2 vfloat2; #endif #ifdef ENABLE_RVVM1 #define CONFIG 1 #define ENABLE_RVV_SP #include "helperrvv.h" #include "renamervvm1.h" #include "sleef.h" #endif #ifdef ENABLE_RVVM1NOFMA #define CONFIG 2 #define ENABLE_RVV_DP #include "helperrvv.h" #include "renamervvm1nofma.h" #include "sleef.h" #endif #ifdef ENABLE_RVVM2 #define CONFIG 1 #define ENABLE_RVV_SP #include "helperrvv.h" #include "renamervvm2.h" #include "sleef.h" #endif #ifdef ENABLE_RVVM2NOFMA #define CONFIG 2 #define ENABLE_RVV_DP #include "helperrvv.h" #include "renamervvm2nofma.h" #include "sleef.h" #endif #ifdef ENABLE_PUREC_SCALAR #define CONFIG 1 #include "helperpurec_scalar.h" #include "renamepurec_scalar.h" typedef Sleef_double_2 vdouble2; typedef Sleef_float_2 vfloat2; #endif #ifdef ENABLE_PURECFMA_SCALAR #define CONFIG 2 #include "helperpurec_scalar.h" #include "renamepurecfma_scalar.h" typedef Sleef_double_2 vdouble2; typedef Sleef_float_2 vfloat2; #endif // #if !(defined(ENABLE_SVE) || defined(ENABLE_SVENOFMA) || defined(ENABLE_RVVM1) || defined(ENABLE_RVVM1NOFMA) || defined(ENABLE_RVVM2) || defined(ENABLE_RVVM2NOFMA)) static vfloat vf2getx_vf_vf2(vfloat2 v) { return v.x; } static vfloat vf2gety_vf_vf2(vfloat2 v) { return v.y; } #endif // #define DENORMAL_FLT_MIN (1.4012984643248170709e-45f) #define POSITIVE_INFINITYf ((float)INFINITY) #define NEGATIVE_INFINITYf (-(float)INFINITY) typedef union { double d; uint64_t u64; int64_t i64; } conv64_t; typedef union { float f; uint32_t u32; int32_t i32; } conv32_t; static float nexttoward0f(float x, int n) { union { float f; int32_t u; } cx; cx.f = x; cx.u -= n; return x == 0 ? 0 : cx.f; } float rnd() { conv32_t c; switch(random() & 63) { case 0: return nexttoward0f( 0.0, -(random() & ((1 << (random() & 31)) - 1))); case 1: return nexttoward0f(-0.0, -(random() & ((1 << (random() & 31)) - 1))); case 2: return nexttoward0f( INFINITY, (random() & ((1 << (random() & 31)) - 1))); case 3: return nexttoward0f(-INFINITY, (random() & ((1 << (random() & 31)) - 1))); } #ifdef ENABLE_SYS_getrandom syscall(SYS_getrandom, &c.u32, sizeof(c.u32), 0); #else c.u32 = (uint32_t)random() | ((uint32_t)random() << 31); #endif return c.f; } float rnd_fr() { conv32_t c; do { #ifdef ENABLE_SYS_getrandom syscall(SYS_getrandom, &c.u32, sizeof(c.u32), 0); #else c.u32 = (uint32_t)random() | ((uint32_t)random() << 31); #endif } while(!isnumber(c.f)); return c.f; } float rnd_zo() { conv32_t c; do { #ifdef ENABLE_SYS_getrandom syscall(SYS_getrandom, &c.u32, sizeof(c.u32), 0); #else c.u32 = (uint32_t)random() | ((uint32_t)random() << 31); #endif } while(!isnumber(c.f) || c.f < -1 || 1 < c.f); return c.f; } vfloat vset(vfloat v, int idx, float d) { float a[VECTLENSP]; vstoreu_v_p_vf(a, v); a[idx] = d; return vloadu_vf_p(a); } float vget(vfloat v, int idx) { float a[VECTLENSP]; vstoreu_v_p_vf(a, v); return a[idx]; } int main(int argc,char **argv) { mpfr_t frw, frx, fry, frz; mpfr_set_default_prec(256); mpfr_inits(frw, frx, fry, frz, NULL); conv32_t cd; float d, t; float d2, d3, zo; vfloat vd = vcast_vf_f(0); vfloat vd2 = vcast_vf_f(0); vfloat vd3 = vcast_vf_f(0); vfloat vzo = vcast_vf_f(0); vfloat vad = vcast_vf_f(0); vfloat2 sc, sc2; int cnt, ecnt = 0; srandom(time(NULL)); for(cnt = 0;ecnt < 1000;cnt++) { int e = cnt % VECTLENSP; switch(cnt & 7) { case 0: d = rnd(); d2 = rnd(); d3 = rnd(); zo = rnd(); break; case 1: cd.f = rint(rnd_zo() * 1e+10) * M_PI_4; cd.i32 += (random() & 0xff) - 0x7f; d = cd.f; d2 = rnd(); d3 = rnd(); zo = rnd(); break; case 2: cd.f = rnd_fr() * M_PI_4; cd.i32 += (random() & 0xf) - 0x7; d = cd.f; d2 = rnd(); d3 = rnd(); zo = rnd(); break; default: d = rnd_fr(); d2 = rnd_fr(); d3 = rnd_fr(); zo = rnd_zo(); break; } vd = vset(vd, e, d); vd2 = vset(vd2, e, d2); vd3 = vset(vd3, e, d3); vzo = vset(vzo, e, zo); vad = vset(vad, e, fabs(d)); sc = xsincospif_u05(vd); sc2 = xsincospif_u35(vd); { const double rangemax2 = 1e+7/4; mpfr_set_d(frx, d, GMP_RNDN); mpfr_sinpi(frx, frx, GMP_RNDN); double u0 = countULP2sp(t = vget(vf2getx_vf_vf2(sc), e), frx); if (u0 != 0 && ((fabs(d) <= rangemax2 && u0 > 0.505) || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " sincospif_u05 sin arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } double u1 = countULP2sp(t = vget(vf2getx_vf_vf2(sc2), e), frx); if (u1 != 0 && ((fabs(d) <= rangemax2 && u1 > 2.0) || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " sincospif_u35 sin arg=%.20g ulp=%.20g\n", d, u1); fflush(stdout); ecnt++; } double u2 = countULP2sp(t = vget(xsinpif_u05(vd), e), frx); if (u2 != 0 && ((fabs(d) <= rangemax2 && u2 > 0.506) || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " sinpif_u05 arg=%.20g ulp=%.20g\n", d, u2); fflush(stdout); ecnt++; } } { const double rangemax2 = 1e+7/4; mpfr_set_d(frx, d, GMP_RNDN); mpfr_cospi(frx, frx, GMP_RNDN); double u0 = countULP2sp(t = vget(vf2gety_vf_vf2(sc), e), frx); if (u0 != 0 && ((fabs(d) <= rangemax2 && u0 > 0.505) || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " sincospif_u05 cos arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } double u1 = countULP2sp(t = vget(vf2gety_vf_vf2(sc), e), frx); if (u1 != 0 && ((fabs(d) <= rangemax2 && u1 > 2.0) || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " sincospif_u35 cos arg=%.20g ulp=%.20g\n", d, u1); fflush(stdout); ecnt++; } double u2 = countULP2sp(t = vget(xcospif_u05(vd), e), frx); if (u2 != 0 && ((fabs(d) <= rangemax2 && u2 > 0.506) || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " cospif_u05 arg=%.20g ulp=%.20g\n", d, u2); fflush(stdout); ecnt++; } } sc = xsincosf(vd); sc2 = xsincosf_u1(vd); { mpfr_set_d(frx, d, GMP_RNDN); mpfr_sin(frx, frx, GMP_RNDN); float u0 = countULPsp(t = vget(xsinf(vd), e), frx); if (u0 != 0 && (u0 > 3.5 || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " sinf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } float u1 = countULPsp(t = vget(vf2getx_vf_vf2(sc), e), frx); if (u1 != 0 && (u1 > 3.5 || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " sincosf sin arg=%.20g ulp=%.20g\n", d, u1); fflush(stdout); ecnt++; } float u2 = countULPsp(t = vget(xsinf_u1(vd), e), frx); if (u2 != 0 && (u2 > 1 || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " sinf_u1 arg=%.20g ulp=%.20g\n", d, u2); fflush(stdout); ecnt++; } float u3 = countULPsp(t = vget(vf2getx_vf_vf2(sc2), e), frx); if (u3 != 0 && (u3 > 1 || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " sincosf_u1 sin arg=%.20g ulp=%.20g\n", d, u3); fflush(stdout); ecnt++; } float u4 = countULPsp(t = vget(xfastsinf_u3500(vd), e), frx); double ae4 = fabs(mpfr_get_d(frx, GMP_RNDN) - t); if (u4 > 350 && ae4 > 2e-6) { printf(ISANAME " fastsinf_u3500 arg=%.20g ulp=%.20g\n", d, u4); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_cos(frx, frx, GMP_RNDN); float u0 = countULPsp(t = vget(xcosf(vd), e), frx); if (u0 != 0 && (u0 > 3.5 || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " cosf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } float u1 = countULPsp(t = vget(vf2gety_vf_vf2(sc), e), frx); if (u1 != 0 && (u1 > 3.5 || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " sincosf cos arg=%.20g ulp=%.20g\n", d, u1); fflush(stdout); ecnt++; } float u2 = countULPsp(t = vget(xcosf_u1(vd), e), frx); if (u2 != 0 && (u2 > 1 || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " cosf_u1 arg=%.20g ulp=%.20g\n", d, u2); fflush(stdout); ecnt++; } float u3 = countULPsp(t = vget(vf2gety_vf_vf2(sc2), e), frx); if (u3 != 0 && (u3 > 1 || fabs(t) > 1 || !isnumber(t))) { printf(ISANAME " sincosf_u1 cos arg=%.20g ulp=%.20g\n", d, u3); fflush(stdout); ecnt++; } float u4 = countULPsp(t = vget(xfastcosf_u3500(vd), e), frx); double ae4 = fabs(mpfr_get_d(frx, GMP_RNDN) - t); if (u4 > 350 && ae4 > 2e-6) { printf(ISANAME " fastcosf_u3500 arg=%.20g ulp=%.20g\n", d, u4); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_tan(frx, frx, GMP_RNDN); float u0 = countULPsp(t = vget(xtanf(vd), e), frx); if (u0 != 0 && (u0 > 3.5 || isnan(t))) { printf(ISANAME " tanf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } float u1 = countULPsp(t = vget(xtanf_u1(vd), e), frx); if (u1 != 0 && (u1 > 1 || isnan(t))) { printf(ISANAME " tanf_u1 arg=%.20g ulp=%.20g\n", d, u1); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, fabsf(d), GMP_RNDN); mpfr_log(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xlogf(vad), e), frx); if (u0 > 3.5) { printf(ISANAME " logf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } double u1 = countULPsp(t = vget(xlogf_u1(vad), e), frx); if (u1 > 1) { printf(ISANAME " logf_u1 arg=%.20g ulp=%.20g\n", d, u1); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, fabsf(d), GMP_RNDN); mpfr_log10(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xlog10f(vad), e), frx); if (u0 > 1) { printf(ISANAME " log10f arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, fabsf(d), GMP_RNDN); mpfr_log2(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xlog2f(vad), e), frx); if (u0 > 1) { printf(ISANAME " log2f arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } double u1 = countULPsp(t = vget(xlog2f_u35(vad), e), frx); if (u1 > 3.5) { printf(ISANAME " log2f_u35 arg=%.20g ulp=%.20g\n", d, u1); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_log1p(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xlog1pf(vd), e), frx); if ((-1 <= d && d <= 1e+38 && u0 > 1) || (d < -1 && !isnan(t)) || (d > 1e+38 && !(u0 <= 1 || isinf(t)))) { printf(ISANAME " log1pf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_exp(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xexpf(vd), e), frx); if (u0 > 1) { printf(ISANAME " expf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_exp2(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xexp2f(vd), e), frx); if (u0 > 1) { printf(ISANAME " exp2f arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } double u1 = countULPsp(t = vget(xexp2f_u35(vd), e), frx); if (u1 > 3.5) { printf(ISANAME " exp2f_u35 arg=%.20g ulp=%.20g\n", d, u1); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_exp10(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xexp10f(vd), e), frx); if (u0 > 1) { printf(ISANAME " exp10f arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } double u1 = countULPsp(t = vget(xexp10f_u35(vd), e), frx); if (u1 > 3.5) { printf(ISANAME " exp10f_u35 arg=%.20g ulp=%.20g\n", d, u1); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_expm1(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xexpm1f(vd), e), frx); if (u0 > 1) { printf(ISANAME " expm1f arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_d(fry, d2, GMP_RNDN); mpfr_pow(frx, fry, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xpowf(vd2, vd), e), frx); if (u0 > 1) { printf(ISANAME " powf arg=%.20g, %.20g ulp=%.20g\n", d2, d, u0); printf("correct = %g, test = %g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } if (isnumber(d) && isnumber(d2)) { double u1 = countULPsp(t = vget(xfastpowf_u3500(vd2, vd), e), frx); if (isnumber((float)mpfr_get_d(frx, GMP_RNDN)) && u1 > 350) { printf(ISANAME " fastpowf_u3500 arg=%.20g, %.20g ulp=%.20g\n", d2, d, u1); printf("correct = %g, test = %g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_cbrt(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xcbrtf(vd), e), frx); if (u0 > 3.5) { printf(ISANAME " cbrtf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } double u1 = countULPsp(t = vget(xcbrtf_u1(vd), e), frx); if (u1 > 1) { printf(ISANAME " cbrtf_u1 arg=%.20g ulp=%.20g\n", d, u1); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, zo, GMP_RNDN); mpfr_asin(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xasinf(vzo), e), frx); if (u0 > 3.5) { printf(ISANAME " asinf arg=%.20g ulp=%.20g\n", zo, u0); fflush(stdout); ecnt++; } double u1 = countULPsp(t = vget(xasinf_u1(vzo), e), frx); if (u1 > 1) { printf(ISANAME " asinf_u1 arg=%.20g ulp=%.20g\n", zo, u1); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, zo, GMP_RNDN); mpfr_acos(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xacosf(vzo), e), frx); if (u0 > 3.5) { printf(ISANAME " acosf arg=%.20g ulp=%.20g\n", zo, u0); fflush(stdout); ecnt++; } double u1 = countULPsp(t = vget(xacosf_u1(vzo), e), frx); if (u1 > 1) { printf(ISANAME " acosf_u1 arg=%.20g ulp=%.20g\n", zo, u1); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_atan(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xatanf(vd), e), frx); if (u0 > 3.5) { printf(ISANAME " atanf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } double u1 = countULPsp(t = vget(xatanf_u1(vd), e), frx); if (u1 > 1) { printf(ISANAME " atanf_u1 arg=%.20g ulp=%.20g\n", d, u1); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_d(fry, d2, GMP_RNDN); mpfr_atan2(frx, fry, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xatan2f(vd2, vd), e), frx); if (u0 > 3.5) { printf(ISANAME " atan2f arg=%.20g, %.20g ulp=%.20g\n", d2, d, u0); fflush(stdout); ecnt++; } double u1 = countULP2sp(t = vget(xatan2f_u1(vd2, vd), e), frx); if (u1 > 1) { printf(ISANAME " atan2f_u1 arg=%.20g, %.20g ulp=%.20g\n", d2, d, u1); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_sinh(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xsinhf(vd), e), frx); if ((fabs(d) <= 88.5 && u0 > 1) || (d > 88.5 && !(u0 <= 1 || (isinf(t) && t > 0))) || (d < -88.5 && !(u0 <= 1 || (isinf(t) && t < 0)))) { printf(ISANAME " sinhf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_cosh(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xcoshf(vd), e), frx); if ((fabs(d) <= 88.5 && u0 > 1) || !(u0 <= 1 || (isinf(t) && t > 0))) { printf(ISANAME " coshf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_tanh(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xtanhf(vd), e), frx); if (u0 > 1.0001) { printf(ISANAME " tanhf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_sinh(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xsinhf_u35(vd), e), frx); if ((fabs(d) <= 88 && u0 > 3.5) || (d > 88 && !(u0 <= 3.5 || (isinf(t) && t > 0))) || (d < -88 && !(u0 <= 3.5 || (isinf(t) && t < 0)))) { printf(ISANAME " sinhf_u35 arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_cosh(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xcoshf_u35(vd), e), frx); if ((fabs(d) <= 88 && u0 > 3.5) || !(u0 <= 3.5 || (isinf(t) && t > 0))) { printf(ISANAME " coshf_u35 arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_tanh(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xtanhf_u35(vd), e), frx); if (u0 > 3.5) { printf(ISANAME " tanhf_u35 arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_asinh(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xasinhf(vd), e), frx); if ((fabs(d) < sqrt(FLT_MAX) && u0 > 1.0001) || (d >= sqrt(FLT_MAX) && !(u0 <= 1.0001 || (isinf(t) && t > 0))) || (d <= -sqrt(FLT_MAX) && !(u0 <= 1.0001 || (isinf(t) && t < 0)))) { printf(ISANAME " asinhf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_acosh(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xacoshf(vd), e), frx); if ((fabs(d) < sqrt(FLT_MAX) && u0 > 1.0001) || (d >= sqrt(FLT_MAX) && !(u0 <= 1.0001 || (isinff(t) && t > 0))) || (d <= -sqrt(FLT_MAX) && !isnan(t))) { printf(ISANAME " acoshf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_atanh(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xatanhf(vd), e), frx); if (u0 > 1.0001) { printf(ISANAME " atanhf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } // /* { int exp = (random() & 8191) - 4096; mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_exp(frx, mpfr_get_exp(frx) + exp); double u0 = countULPsp(t = vget(xldexpf(d, exp)), frx); if (u0 > 0.5001) { printf("Pure C ldexpf arg=%.20g %d ulp=%.20g\n", d, exp, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } */ { mpfr_set_d(frx, d, GMP_RNDN); mpfr_abs(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xfabsf(vd), e), frx); if (u0 != 0) { printf(ISANAME " fabsf arg=%.20g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_d(fry, d2, GMP_RNDN); mpfr_copysign(frx, frx, fry, GMP_RNDN); double u0 = countULPsp(t = vget(xcopysignf(vd, vd2), e), frx); if (u0 != 0 && !isnan(d2)) { printf(ISANAME " copysignf arg=%.20g, %.20g ulp=%.20g\n", d, d2, u0); printf("correct = %g, test = %g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_d(fry, d2, GMP_RNDN); mpfr_max(frx, frx, fry, GMP_RNDN); double u0 = countULPsp(t = vget(xfmaxf(vd, vd2), e), frx); if (u0 != 0) { printf(ISANAME " fmaxf arg=%.20g, %.20g ulp=%.20g\n", d, d2, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_d(fry, d2, GMP_RNDN); mpfr_min(frx, frx, fry, GMP_RNDN); double u0 = countULPsp(t = vget(xfminf(vd, vd2), e), frx); if (u0 != 0) { printf(ISANAME " fminf arg=%.20g, %.20g ulp=%.20g\n", d, d2, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_d(fry, d2, GMP_RNDN); mpfr_dim(frx, frx, fry, GMP_RNDN); double u0 = countULPsp(t = vget(xfdimf(vd, vd2), e), frx); if (u0 > 0.5) { printf(ISANAME " fdimf arg=%.20g, %.20g ulp=%.20g\n", d, d2, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_trunc(frx, frx); double u0 = countULPsp(t = vget(xtruncf(vd), e), frx); if (u0 != 0) { printf(ISANAME " truncf arg=%.20g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_floor(frx, frx); double u0 = countULPsp(t = vget(xfloorf(vd), e), frx); if (u0 != 0) { printf(ISANAME " floorf arg=%.20g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_ceil(frx, frx); double u0 = countULPsp(t = vget(xceilf(vd), e), frx); if (u0 != 0) { printf(ISANAME " ceilf arg=%.20g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_round(frx, frx); double u0 = countULPsp(t = vget(xroundf(vd), e), frx); if (u0 != 0) { printf(ISANAME " roundf arg=%.24g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_rint(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xrintf(vd), e), frx); if (u0 != 0) { printf(ISANAME " rintf arg=%.24g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_modf(fry, frz, frx, GMP_RNDN); vfloat2 t2 = xmodff(vd); double u0 = countULPsp(vget(vf2getx_vf_vf2(t2), e), frz); double u1 = countULPsp(vget(vf2gety_vf_vf2(t2), e), fry); if (u0 != 0 || u1 != 0) { printf(ISANAME " modff arg=%.20g ulp=%.20g %.20g\n", d, u0, u1); printf("correct = %.20g, %.20g\n", mpfr_get_d(frz, GMP_RNDN), mpfr_get_d(fry, GMP_RNDN)); printf("test = %.20g, %.20g\n", vget(vf2getx_vf_vf2(t2), e), vget(vf2gety_vf_vf2(t2), e)); fflush(stdout); ecnt++; } } { t = vget(xnextafterf(vd, vd2), e); double c = nextafterf(d, d2); if (!(isnan(t) && isnan(c)) && t != c) { printf(ISANAME " nextafterf arg=%.20g, %.20g\n", d, d2); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_exp(frx, 0); double u0 = countULPsp(t = vget(xfrfrexpf(vd), e), frx); if (d != 0 && isnumber(d) && u0 != 0) { printf(ISANAME " frfrexpf arg=%.20g ulp=%.20g\n", d, u0); fflush(stdout); ecnt++; } } /* { mpfr_set_d(frx, d, GMP_RNDN); int cexp = mpfr_get_exp(frx); int texp = xexpfrexpf(d); if (d != 0 && isnumber(d) && cexp != texp) { printf(ISANAME " expfrexpf arg=%.20g\n", d); fflush(stdout); ecnt++; } } */ { mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_d(fry, d2, GMP_RNDN); mpfr_hypot(frx, frx, fry, GMP_RNDN); double u0 = countULP2sp(t = vget(xhypotf_u05(vd, vd2), e), frx); if (u0 > 0.5001) { printf(ISANAME " hypotf_u05 arg=%.20g, %.20g ulp=%.20g\n", d, d2, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_d(fry, d2, GMP_RNDN); mpfr_hypot(frx, frx, fry, GMP_RNDN); double u0 = countULP2sp(t = vget(xhypotf_u35(vd, vd2), e), frx); if (u0 >= 3.5) { printf(ISANAME " hypotf_u35 arg=%.20g, %.20g ulp=%.20g\n", d, d2, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_d(fry, d2, GMP_RNDN); mpfr_fmod(frx, frx, fry, GMP_RNDN); double u0 = countULPsp(t = vget(xfmodf(vd, vd2), e), frx); if (fabs((double)d / d2) < 1e+38 && u0 > 0.5) { printf(ISANAME " fmodf arg=%.20g, %.20g ulp=%.20g\n", d, d2, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_d(fry, d2, GMP_RNDN); mpfr_remainder(frx, frx, fry, GMP_RNDN); double u0 = countULPsp(t = vget(xremainderf(vd, vd2), e), frx); if (fabs((double)d / d2) < 1e+38 && u0 > 0.5) { printf(ISANAME " remainderf arg=%.20g, %.20g ulp=%.20g\n", d, d2, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_set_d(fry, d2, GMP_RNDN); mpfr_set_d(frz, d3, GMP_RNDN); mpfr_fma(frx, frx, fry, frz, GMP_RNDN); double u0 = countULP2sp(t = vget(xfmaf(vd, vd2, vd3), e), frx); double c = mpfr_get_d(frx, GMP_RNDN); if ((-1e+34 < c && c < 1e+33 && u0 > 0.5001) || !(u0 <= 0.5001 || isinf(t))) { printf(ISANAME " fmaf arg=%.20g, %.20g, %.20g ulp=%.20g\n", d, d2, d3, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } #ifndef DETERMINISTIC { mpfr_set_d(frx, d, GMP_RNDN); mpfr_sqrt(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xsqrtf(vd), e), frx); if (u0 > 1.0) { printf(ISANAME " sqrtf arg=%.20g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_sqrt(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xsqrtf_u05(vd), e), frx); if (u0 > 0.5001) { printf(ISANAME " sqrtf_u05 arg=%.20g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_sqrt(frx, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xsqrtf_u35(vd), e), frx); if (u0 > 3.5) { printf(ISANAME " sqrtf_u35 arg=%.20g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } #endif // #ifndef DETERMINISTIC { mpfr_set_d(frx, d, GMP_RNDN); mpfr_erfc(frx, frx, GMP_RNDN); double u0 = countULP2sp(t = vget(xerfcf_u15(vd), e), frx); if (u0 > 1.5) { printf(ISANAME " erfcf_u15 arg=%.20g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_erf(frx, frx, GMP_RNDN); double u0 = countULP2sp(t = vget(xerff_u1(vd), e), frx); if (u0 > 0.75) { printf(ISANAME " erff_u1 arg=%.20g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); int s; mpfr_lgamma(frx, &s, frx, GMP_RNDN); double u0 = countULPsp(t = vget(xlgammaf_u1(vd), e), frx); if (((d < 0 && fabsl(t - mpfr_get_ld(frx, GMP_RNDN)) > 1e-8 && u0 > 1) || (0 <= d && d < 4e+36 && u0 > 1) || (4e+36 <= d && !(u0 <= 1 || isinf(t))))) { printf(ISANAME " xlgammaf_u1 arg=%.20g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", (float)mpfr_get_d(frx, GMP_RNDN), t); printf("Diff = %.20Lg\n", fabsl(t - mpfr_get_ld(frx, GMP_RNDN))); fflush(stdout); ecnt++; } } { mpfr_set_d(frx, d, GMP_RNDN); mpfr_gamma(frx, frx, GMP_RNDN); double u0 = countULP2sp(t = vget(xtgammaf_u1(vd), e), frx); double c = mpfr_get_d(frx, GMP_RNDN); if (isnumber(c) || isnumber(t)) { if (u0 > 1.0) { printf(ISANAME " xtgammaf_u1 arg=%.20g ulp=%.20g\n", d, u0); printf("correct = %.20g, test = %.20g\n", (float)mpfr_get_d(frx, GMP_RNDN), t); fflush(stdout); ecnt++; } } } #if 0 if (cnt % 1000 == 0) { printf("cnt = %d \r", cnt); fflush(stdout); } #endif } mpfr_clears(frw, frx, fry, frz, NULL); }