diff options
| -rw-r--r-- | sysdeps/aarch64/fpu/Makefile | 1 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/Versions | 4 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/atan2_advsimd.c | 121 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/atan2_sve.c | 118 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/atan2f_advsimd.c | 116 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/atan2f_sve.c | 110 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/bits/math-vector.h | 4 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c | 1 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/test-double-sve-wrappers.c | 11 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c | 1 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/test-float-sve-wrappers.c | 11 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/test-vpcs-vector-wrapper.h | 14 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/vecmath_config.h | 11 | ||||
| -rw-r--r-- | sysdeps/aarch64/libm-test-ulps | 8 | ||||
| -rw-r--r-- | sysdeps/unix/sysv/linux/aarch64/libmvec.abilist | 4 |
15 files changed, 535 insertions, 0 deletions
diff --git a/sysdeps/aarch64/fpu/Makefile b/sysdeps/aarch64/fpu/Makefile index 5bd77a749d..364efbeac1 100644 --- a/sysdeps/aarch64/fpu/Makefile +++ b/sysdeps/aarch64/fpu/Makefile @@ -1,6 +1,7 @@ libmvec-supported-funcs = acos \ asin \ atan \ + atan2 \ cos \ exp \ exp10 \ diff --git a/sysdeps/aarch64/fpu/Versions b/sysdeps/aarch64/fpu/Versions index dfc3d2dad3..99492b3d33 100644 --- a/sysdeps/aarch64/fpu/Versions +++ b/sysdeps/aarch64/fpu/Versions @@ -30,6 +30,10 @@ libmvec { _ZGVnN2v_atan; _ZGVsMxv_atanf; _ZGVsMxv_atan; + _ZGVnN4vv_atan2f; + _ZGVnN2vv_atan2; + _ZGVsMxvv_atan2f; + _ZGVsMxvv_atan2; _ZGVnN4v_exp10f; _ZGVnN2v_exp10; _ZGVsMxv_exp10f; diff --git a/sysdeps/aarch64/fpu/atan2_advsimd.c b/sysdeps/aarch64/fpu/atan2_advsimd.c new file mode 100644 index 0000000000..fcc6be0d6c --- /dev/null +++ b/sysdeps/aarch64/fpu/atan2_advsimd.c @@ -0,0 +1,121 @@ +/* Double-precision AdvSIMD atan2 + + Copyright (C) 2023 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 + <https://www.gnu.org/licenses/>. */ + +#include "v_math.h" +#include "poly_advsimd_f64.h" + +static const struct data +{ + float64x2_t pi_over_2; + float64x2_t poly[20]; +} data = { + /* Coefficients of polynomial P such that atan(x)~x+x*P(x^2) on + the interval [2**-1022, 1.0]. */ + .poly = { V2 (-0x1.5555555555555p-2), V2 (0x1.99999999996c1p-3), + V2 (-0x1.2492492478f88p-3), V2 (0x1.c71c71bc3951cp-4), + V2 (-0x1.745d160a7e368p-4), V2 (0x1.3b139b6a88ba1p-4), + V2 (-0x1.11100ee084227p-4), V2 (0x1.e1d0f9696f63bp-5), + V2 (-0x1.aebfe7b418581p-5), V2 (0x1.842dbe9b0d916p-5), + V2 (-0x1.5d30140ae5e99p-5), V2 (0x1.338e31eb2fbbcp-5), + V2 (-0x1.00e6eece7de8p-5), V2 (0x1.860897b29e5efp-6), + V2 (-0x1.0051381722a59p-6), V2 (0x1.14e9dc19a4a4ep-7), + V2 (-0x1.d0062b42fe3bfp-9), V2 (0x1.17739e210171ap-10), + V2 (-0x1.ab24da7be7402p-13), V2 (0x1.358851160a528p-16), }, + .pi_over_2 = V2 (0x1.921fb54442d18p+0), +}; + +#define SignMask v_u64 (0x8000000000000000) + +/* Special cases i.e. 0, infinity, NaN (fall back to scalar calls). */ +static float64x2_t VPCS_ATTR NOINLINE +special_case (float64x2_t y, float64x2_t x, float64x2_t ret, uint64x2_t cmp) +{ + return v_call2_f64 (atan2, y, x, ret, cmp); +} + +/* Returns 1 if input is the bit representation of 0, infinity or nan. */ +static inline uint64x2_t +zeroinfnan (uint64x2_t i) +{ + /* (2 * i - 1) >= (2 * asuint64 (INFINITY) - 1). */ + return vcgeq_u64 (vsubq_u64 (vaddq_u64 (i, i), v_u64 (1)), + v_u64 (2 * asuint64 (INFINITY) - 1)); +} + +/* Fast implementation of vector atan2. + Maximum observed error is 2.8 ulps: + _ZGVnN2vv_atan2 (0x1.9651a429a859ap+5, 0x1.953075f4ee26p+5) + got 0x1.92d628ab678ccp-1 + want 0x1.92d628ab678cfp-1. */ +float64x2_t VPCS_ATTR V_NAME_D2 (atan2) (float64x2_t y, float64x2_t x) +{ + const struct data *data_ptr = ptr_barrier (&data); + + uint64x2_t ix = vreinterpretq_u64_f64 (x); + uint64x2_t iy = vreinterpretq_u64_f64 (y); + + uint64x2_t special_cases = vorrq_u64 (zeroinfnan (ix), zeroinfnan (iy)); + + uint64x2_t sign_x = vandq_u64 (ix, SignMask); + uint64x2_t sign_y = vandq_u64 (iy, SignMask); + uint64x2_t sign_xy = veorq_u64 (sign_x, sign_y); + + float64x2_t ax = vabsq_f64 (x); + float64x2_t ay = vabsq_f64 (y); + + uint64x2_t pred_xlt0 = vcltzq_f64 (x); + uint64x2_t pred_aygtax = vcgtq_f64 (ay, ax); + + /* Set up z for call to atan. */ + float64x2_t n = vbslq_f64 (pred_aygtax, vnegq_f64 (ax), ay); + float64x2_t d = vbslq_f64 (pred_aygtax, ay, ax); + float64x2_t z = vdivq_f64 (n, d); + + /* Work out the correct shift. */ + float64x2_t shift = vreinterpretq_f64_u64 ( + vandq_u64 (pred_xlt0, vreinterpretq_u64_f64 (v_f64 (-2.0)))); + shift = vbslq_f64 (pred_aygtax, vaddq_f64 (shift, v_f64 (1.0)), shift); + shift = vmulq_f64 (shift, data_ptr->pi_over_2); + + /* Calculate the polynomial approximation. + Use split Estrin scheme for P(z^2) with deg(P)=19. Use split instead of + full scheme to avoid underflow in x^16. + The order 19 polynomial P approximates + (atan(sqrt(x))-sqrt(x))/x^(3/2). */ + float64x2_t z2 = vmulq_f64 (z, z); + float64x2_t x2 = vmulq_f64 (z2, z2); + float64x2_t x4 = vmulq_f64 (x2, x2); + float64x2_t x8 = vmulq_f64 (x4, x4); + float64x2_t ret + = vfmaq_f64 (v_estrin_7_f64 (z2, x2, x4, data_ptr->poly), + v_estrin_11_f64 (z2, x2, x4, x8, data_ptr->poly + 8), x8); + + /* Finalize. y = shift + z + z^3 * P(z^2). */ + ret = vfmaq_f64 (z, ret, vmulq_f64 (z2, z)); + ret = vaddq_f64 (ret, shift); + + /* Account for the sign of x and y. */ + ret = vreinterpretq_f64_u64 ( + veorq_u64 (vreinterpretq_u64_f64 (ret), sign_xy)); + + if (__glibc_unlikely (v_any_u64 (special_cases))) + return special_case (y, x, ret, special_cases); + + return ret; +} diff --git a/sysdeps/aarch64/fpu/atan2_sve.c b/sysdeps/aarch64/fpu/atan2_sve.c new file mode 100644 index 0000000000..6dbc2f3769 --- /dev/null +++ b/sysdeps/aarch64/fpu/atan2_sve.c @@ -0,0 +1,118 @@ +/* Double-precision SVE atan2 + + Copyright (C) 2023 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 + <https://www.gnu.org/licenses/>. */ + +#include "sv_math.h" +#include "poly_sve_f64.h" + +static const struct data +{ + float64_t poly[20]; + float64_t pi_over_2; +} data = { + /* Coefficients of polynomial P such that atan(x)~x+x*P(x^2) on + [2**-1022, 1.0]. */ + .poly = { -0x1.5555555555555p-2, 0x1.99999999996c1p-3, -0x1.2492492478f88p-3, + 0x1.c71c71bc3951cp-4, -0x1.745d160a7e368p-4, 0x1.3b139b6a88ba1p-4, + -0x1.11100ee084227p-4, 0x1.e1d0f9696f63bp-5, -0x1.aebfe7b418581p-5, + 0x1.842dbe9b0d916p-5, -0x1.5d30140ae5e99p-5, 0x1.338e31eb2fbbcp-5, + -0x1.00e6eece7de8p-5, 0x1.860897b29e5efp-6, -0x1.0051381722a59p-6, + 0x1.14e9dc19a4a4ep-7, -0x1.d0062b42fe3bfp-9, 0x1.17739e210171ap-10, + -0x1.ab24da7be7402p-13, 0x1.358851160a528p-16, }, + .pi_over_2 = 0x1.921fb54442d18p+0, +}; + +/* Useful constants. */ +#define SignMask sv_u64 (0x8000000000000000) + +/* Special cases i.e. 0, infinity, nan (fall back to scalar calls). */ +static svfloat64_t NOINLINE +special_case (svfloat64_t y, svfloat64_t x, svfloat64_t ret, + const svbool_t cmp) +{ + return sv_call2_f64 (atan2, y, x, ret, cmp); +} + +/* Returns a predicate indicating true if the input is the bit representation + of 0, infinity or nan. */ +static inline svbool_t +zeroinfnan (svuint64_t i, const svbool_t pg) +{ + return svcmpge (pg, svsub_x (pg, svlsl_x (pg, i, 1), 1), + sv_u64 (2 * asuint64 (INFINITY) - 1)); +} + +/* Fast implementation of SVE atan2. Errors are greatest when y and + x are reasonably close together. The greatest observed error is 2.28 ULP: + _ZGVsMxvv_atan2 (-0x1.5915b1498e82fp+732, 0x1.54d11ef838826p+732) + got -0x1.954f42f1fa841p-1 want -0x1.954f42f1fa843p-1. */ +svfloat64_t SV_NAME_D2 (atan2) (svfloat64_t y, svfloat64_t x, const svbool_t pg) +{ + const struct data *data_ptr = ptr_barrier (&data); + + svuint64_t ix = svreinterpret_u64 (x); + svuint64_t iy = svreinterpret_u64 (y); + + svbool_t cmp_x = zeroinfnan (ix, pg); + svbool_t cmp_y = zeroinfnan (iy, pg); + svbool_t cmp_xy = svorr_z (pg, cmp_x, cmp_y); + + svuint64_t sign_x = svand_x (pg, ix, SignMask); + svuint64_t sign_y = svand_x (pg, iy, SignMask); + svuint64_t sign_xy = sveor_x (pg, sign_x, sign_y); + + svfloat64_t ax = svabs_x (pg, x); + svfloat64_t ay = svabs_x (pg, y); + + svbool_t pred_xlt0 = svcmplt (pg, x, 0.0); + svbool_t pred_aygtax = svcmpgt (pg, ay, ax); + + /* Set up z for call to atan. */ + svfloat64_t n = svsel (pred_aygtax, svneg_x (pg, ax), ay); + svfloat64_t d = svsel (pred_aygtax, ay, ax); + svfloat64_t z = svdiv_x (pg, n, d); + + /* Work out the correct shift. */ + svfloat64_t shift = svsel (pred_xlt0, sv_f64 (-2.0), sv_f64 (0.0)); + shift = svsel (pred_aygtax, svadd_x (pg, shift, 1.0), shift); + shift = svmul_x (pg, shift, data_ptr->pi_over_2); + + /* Use split Estrin scheme for P(z^2) with deg(P)=19. */ + svfloat64_t z2 = svmul_x (pg, z, z); + svfloat64_t x2 = svmul_x (pg, z2, z2); + svfloat64_t x4 = svmul_x (pg, x2, x2); + svfloat64_t x8 = svmul_x (pg, x4, x4); + + svfloat64_t ret = svmla_x ( + pg, sv_estrin_7_f64_x (pg, z2, x2, x4, data_ptr->poly), + sv_estrin_11_f64_x (pg, z2, x2, x4, x8, data_ptr->poly + 8), x8); + + /* y = shift + z + z^3 * P(z^2). */ + svfloat64_t z3 = svmul_x (pg, z2, z); + ret = svmla_x (pg, z, z3, ret); + + ret = svadd_m (pg, ret, shift); + + /* Account for the sign of x and y. */ + ret = svreinterpret_f64 (sveor_x (pg, svreinterpret_u64 (ret), sign_xy)); + + if (__glibc_unlikely (svptest_any (pg, cmp_xy))) + return special_case (y, x, ret, cmp_xy); + + return ret; +} diff --git a/sysdeps/aarch64/fpu/atan2f_advsimd.c b/sysdeps/aarch64/fpu/atan2f_advsimd.c new file mode 100644 index 0000000000..5a5a6202d1 --- /dev/null +++ b/sysdeps/aarch64/fpu/atan2f_advsimd.c @@ -0,0 +1,116 @@ +/* Single-precision AdvSIMD atan2 + + Copyright (C) 2023 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 + <https://www.gnu.org/licenses/>. */ + +#include "v_math.h" +#include "poly_advsimd_f32.h" + +static const struct data +{ + float32x4_t poly[8]; + float32x4_t pi_over_2; +} data = { + /* Coefficients of polynomial P such that atan(x)~x+x*P(x^2) on + [2**-128, 1.0]. + Generated using fpminimax between FLT_MIN and 1. */ + .poly = { V4 (-0x1.55555p-2f), V4 (0x1.99935ep-3f), V4 (-0x1.24051ep-3f), + V4 (0x1.bd7368p-4f), V4 (-0x1.491f0ep-4f), V4 (0x1.93a2c0p-5f), + V4 (-0x1.4c3c60p-6f), V4 (0x1.01fd88p-8f) }, + .pi_over_2 = V4 (0x1.921fb6p+0f), +}; + +#define SignMask v_u32 (0x80000000) + +/* Special cases i.e. 0, infinity and nan (fall back to scalar calls). */ +static float32x4_t VPCS_ATTR NOINLINE +special_case (float32x4_t y, float32x4_t x, float32x4_t ret, uint32x4_t cmp) +{ + return v_call2_f32 (atan2f, y, x, ret, cmp); +} + +/* Returns 1 if input is the bit representation of 0, infinity or nan. */ +static inline uint32x4_t +zeroinfnan (uint32x4_t i) +{ + /* 2 * i - 1 >= 2 * 0x7f800000lu - 1. */ + return vcgeq_u32 (vsubq_u32 (vmulq_n_u32 (i, 2), v_u32 (1)), + v_u32 (2 * 0x7f800000lu - 1)); +} + +/* Fast implementation of vector atan2f. Maximum observed error is + 2.95 ULP in [0x1.9300d6p+6 0x1.93c0c6p+6] x [0x1.8c2dbp+6 0x1.8cea6p+6]: + _ZGVnN4vv_atan2f (0x1.93836cp+6, 0x1.8cae1p+6) got 0x1.967f06p-1 + want 0x1.967f00p-1. */ +float32x4_t VPCS_ATTR V_NAME_F2 (atan2) (float32x4_t y, float32x4_t x) +{ + const struct data *data_ptr = ptr_barrier (&data); + + uint32x4_t ix = vreinterpretq_u32_f32 (x); + uint32x4_t iy = vreinterpretq_u32_f32 (y); + + uint32x4_t special_cases = vorrq_u32 (zeroinfnan (ix), zeroinfnan (iy)); + + uint32x4_t sign_x = vandq_u32 (ix, SignMask); + uint32x4_t sign_y = vandq_u32 (iy, SignMask); + uint32x4_t sign_xy = veorq_u32 (sign_x, sign_y); + + float32x4_t ax = vabsq_f32 (x); + float32x4_t ay = vabsq_f32 (y); + + uint32x4_t pred_xlt0 = vcltzq_f32 (x); + uint32x4_t pred_aygtax = vcgtq_f32 (ay, ax); + + /* Set up z for call to atanf. */ + float32x4_t n = vbslq_f32 (pred_aygtax, vnegq_f32 (ax), ay); + float32x4_t d = vbslq_f32 (pred_aygtax, ay, ax); + float32x4_t z = vdivq_f32 (n, d); + + /* Work out the correct shift. */ + float32x4_t shift = vreinterpretq_f32_u32 ( + vandq_u32 (pred_xlt0, vreinterpretq_u32_f32 (v_f32 (-2.0f)))); + shift = vbslq_f32 (pred_aygtax, vaddq_f32 (shift, v_f32 (1.0f)), shift); + shift = vmulq_f32 (shift, data_ptr->pi_over_2); + + /* Calculate the polynomial approximation. + Use 2-level Estrin scheme for P(z^2) with deg(P)=7. However, + a standard implementation using z8 creates spurious underflow + in the very last fma (when z^8 is small enough). + Therefore, we split the last fma into a mul and an fma. + Horner and single-level Estrin have higher errors that exceed + threshold. */ + float32x4_t z2 = vmulq_f32 (z, z); + float32x4_t z4 = vmulq_f32 (z2, z2); + + float32x4_t ret = vfmaq_f32 ( + v_pairwise_poly_3_f32 (z2, z4, data_ptr->poly), z4, + vmulq_f32 (z4, v_pairwise_poly_3_f32 (z2, z4, data_ptr->poly + 4))); + + /* y = shift + z * P(z^2). */ + ret = vaddq_f32 (vfmaq_f32 (z, ret, vmulq_f32 (z2, z)), shift); + + /* Account for the sign of y. */ + ret = vreinterpretq_f32_u32 ( + veorq_u32 (vreinterpretq_u32_f32 (ret), sign_xy)); + + if (__glibc_unlikely (v_any_u32 (special_cases))) + { + return special_case (y, x, ret, special_cases); + } + + return ret; +} diff --git a/sysdeps/aarch64/fpu/atan2f_sve.c b/sysdeps/aarch64/fpu/atan2f_sve.c new file mode 100644 index 0000000000..606a62c144 --- /dev/null +++ b/sysdeps/aarch64/fpu/atan2f_sve.c @@ -0,0 +1,110 @@ +/* Single-precision SVE atan2 + + Copyright (C) 2023 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 + <https://www.gnu.org/licenses/>. */ + +#include "sv_math.h" +#include "poly_sve_f32.h" + +static const struct data +{ + float32_t poly[8]; + float32_t pi_over_2; +} data = { + /* Coefficients of polynomial P such that atan(x)~x+x*P(x^2) on + [2**-128, 1.0]. */ + .poly = { -0x1.55555p-2f, 0x1.99935ep-3f, -0x1.24051ep-3f, 0x1.bd7368p-4f, + -0x1.491f0ep-4f, 0x1.93a2c0p-5f, -0x1.4c3c60p-6f, 0x1.01fd88p-8f }, + .pi_over_2 = 0x1.921fb6p+0f, +}; + +#define SignMask sv_u32 (0x80000000) + +/* Special cases i.e. 0, infinity, nan (fall back to scalar calls). */ +static inline svfloat32_t +special_case (svfloat32_t y, svfloat32_t x, svfloat32_t ret, + const svbool_t cmp) +{ + return sv_call2_f32 (atan2f, y, x, ret, cmp); +} + +/* Returns a predicate indicating true if the input is the bit representation + of 0, infinity or nan. */ +static inline svbool_t +zeroinfnan (svuint32_t i, const svbool_t pg) +{ + return svcmpge (pg, svsub_x (pg, svlsl_x (pg, i, 1), 1), + sv_u32 (2 * 0x7f800000lu - 1)); +} + +/* Fast implementation of SVE atan2f based on atan(x) ~ shift + z + z^3 * + P(z^2) with reduction to [0,1] using z=1/x and shift = pi/2. Maximum + observed error is 2.95 ULP: + _ZGVsMxvv_atan2f (0x1.93836cp+6, 0x1.8cae1p+6) got 0x1.967f06p-1 + want 0x1.967f00p-1. */ +svfloat32_t SV_NAME_F2 (atan2) (svfloat32_t y, svfloat32_t x, const svbool_t pg) +{ + const struct data *data_ptr = ptr_barrier (&data); + + svuint32_t ix = svreinterpret_u32 (x); + svuint32_t iy = svreinterpret_u32 (y); + + svbool_t cmp_x = zeroinfnan (ix, pg); + svbool_t cmp_y = zeroinfnan (iy, pg); + svbool_t cmp_xy = svorr_z (pg, cmp_x, cmp_y); + + svuint32_t sign_x = svand_x (pg, ix, SignMask); + svuint32_t sign_y = svand_x (pg, iy, SignMask); + svuint32_t sign_xy = sveor_x (pg, sign_x, sign_y); + + svfloat32_t ax = svabs_x (pg, x); + svfloat32_t ay = svabs_x (pg, y); + + svbool_t pred_xlt0 = svcmplt (pg, x, 0.0); + svbool_t pred_aygtax = svcmpgt (pg, ay, ax); + + /* Set up z for call to atan. */ + svfloat32_t n = svsel (pred_aygtax, svneg_x (pg, ax), ay); + svfloat32_t d = svsel (pred_aygtax, ay, ax); + svfloat32_t z = svdiv_x (pg, n, d); + + /* Work out the correct shift. */ + svfloat32_t shift = svsel (pred_xlt0, sv_f32 (-2.0), sv_f32 (0.0)); + shift = svsel (pred_aygtax, svadd_x (pg, shift, 1.0), shift); + shift = svmul_x (pg, shift, sv_f32 (data_ptr->pi_over_2)); + + /* Use split Estrin scheme for P(z^2) with deg(P)=7. */ + svfloat32_t z2 = svmul_x (pg, z, z); + svfloat32_t z4 = svmul_x (pg, z2, z2); + svfloat32_t z8 = svmul_x (pg, z4, z4); + + svfloat32_t ret = sv_estrin_7_f32_x (pg, z2, z4, z8, data_ptr->poly); + + /* ret = shift + z + z^3 * P(z^2). */ + svfloat32_t z3 = svmul_x (pg, z2, z); + ret = svmla_x (pg, z, z3, ret); + + ret = svadd_m (pg, ret, shift); + + /* Account for the sign of x and y. */ + ret = svreinterpret_f32 (sveor_x (pg, svreinterpret_u32 (ret), sign_xy)); + + if (__glibc_unlikely (svptest_any (pg, cmp_xy))) + return special_case (y, x, ret, cmp_xy); + + return ret; +} diff --git a/sysdeps/aarch64/fpu/bits/math-vector.h b/sysdeps/aarch64/fpu/bits/math-vector.h index 37aa74fe50..7666c09083 100644 --- a/sysdeps/aarch64/fpu/bits/math-vector.h +++ b/sysdeps/aarch64/fpu/bits/math-vector.h @@ -49,6 +49,7 @@ typedef __SVBool_t __sv_bool_t; # define __vpcs __attribute__ ((__aarch64_vector_pcs__)) +__vpcs __f32x4_t _ZGVnN4vv_atan2f (__f32x4_t, __f32x4_t); __vpcs __f32x4_t _ZGVnN4v_acosf (__f32x4_t); __vpcs __f32x4_t _ZGVnN4v_asinf (__f32x4_t); __vpcs __f32x4_t _ZGVnN4v_atanf (__f32x4_t); @@ -62,6 +63,7 @@ __vpcs __f32x4_t _ZGVnN4v_log2f (__f32x4_t); __vpcs __f32x4_t _ZGVnN4v_sinf (__f32x4_t); __vpcs __f32x4_t _ZGVnN4v_tanf (__f32x4_t); +__vpcs __f64x2_t _ZGVnN2vv_atan2 (__f64x2_t, __f64x2_t); __vpcs __f64x2_t _ZGVnN2v_acos (__f64x2_t); __vpcs __f64x2_t _ZGVnN2v_asin (__f64x2_t); __vpcs __f64x2_t _ZGVnN2v_atan (__f64x2_t); @@ -80,6 +82,7 @@ __vpcs __f64x2_t _ZGVnN2v_tan (__f64x2_t); #ifdef __SVE_VEC_MATH_SUPPORTED +__sv_f32_t _ZGVsMxvv_atan2f (__sv_f32_t, __sv_f32_t, __sv_bool_t); __sv_f32_t _ZGVsMxv_acosf (__sv_f32_t, __sv_bool_t); __sv_f32_t _ZGVsMxv_asinf (__sv_f32_t, __sv_bool_t); __sv_f32_t _ZGVsMxv_atanf (__sv_f32_t, __sv_bool_t); @@ -93,6 +96,7 @@ __sv_f32_t _ZGVsMxv_log2f (__sv_f32_t, __sv_bool_t); __sv_f32_t _ZGVsMxv_sinf (__sv_f32_t, __sv_bool_t); __sv_f32_t _ZGVsMxv_tanf (__sv_f32_t, __sv_bool_t); +__sv_f64_t _ZGVsMxvv_atan2 (__sv_f64_t, __sv_f64_t, __sv_bool_t); __sv_f64_t _ZGVsMxv_acos (__sv_f64_t, __sv_bool_t); __sv_f64_t _ZGVsMxv_asin (__sv_f64_t, __sv_bool_t); __sv_f64_t _ZGVsMxv_atan (__sv_f64_t, __sv_bool_t); diff --git a/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c b/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c index 6954fe7435..0ac0240171 100644 --- a/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c +++ b/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c @@ -26,6 +26,7 @@ VPCS_VECTOR_WRAPPER (acos_advsimd, _ZGVnN2v_acos) VPCS_VECTOR_WRAPPER (asin_advsimd, _ZGVnN2v_asin) VPCS_VECTOR_WRAPPER (atan_advsimd, _ZGVnN2v_atan) +VPCS_VECTOR_WRAPPER_ff (atan2_advsimd, _ZGVnN2vv_atan2) VPCS_VECTOR_WRAPPER (cos_advsimd, _ZGVnN2v_cos) VPCS_VECTOR_WRAPPER (exp_advsimd, _ZGVnN2v_exp) VPCS_VECTOR_WRAPPER (exp10_advsimd, _ZGVnN2v_exp10) diff --git a/sysdeps/aarch64/fpu/test-double-sve-wrappers.c b/sysdeps/aarch64/fpu/test-double-sve-wrappers.c index 1173d8f9ae..5bbc4d58c1 100644 --- a/sysdeps/aarch64/fpu/test-double-sve-wrappers.c +++ b/sysdeps/aarch64/fpu/test-double-sve-wrappers.c @@ -32,9 +32,20 @@ return svlastb_f64 (svptrue_b64 (), mr); \ } +#define SVE_VECTOR_WRAPPER_ff(scalar_func, vector_func) \ + extern VEC_TYPE vector_func (VEC_TYPE, VEC_TYPE, svbool_t); \ + FLOAT scalar_func (FLOAT x, FLOAT y) \ + { \ + VEC_TYPE mx = svdup_n_f64 (x); \ + VEC_TYPE my = svdup_n_f64 (y); \ + VEC_TYPE mr = vector_func (mx, my, svptrue_b64 ()); \ + return svlastb_f64 (svptrue_b64 (), mr); \ + } + SVE_VECTOR_WRAPPER (acos_sve, _ZGVsMxv_acos) SVE_VECTOR_WRAPPER (asin_sve, _ZGVsMxv_asin) SVE_VECTOR_WRAPPER (atan_sve, _ZGVsMxv_atan) +SVE_VECTOR_WRAPPER_ff (atan2_sve, _ZGVsMxvv_atan2) SVE_VECTOR_WRAPPER (cos_sve, _ZGVsMxv_cos) SVE_VECTOR_WRAPPER (exp_sve, _ZGVsMxv_exp) SVE_VECTOR_WRAPPER (exp10_sve, _ZGVsMxv_exp10) diff --git a/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c b/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c index 387efc30f8..a557bfc3a6 100644 --- a/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c +++ b/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c @@ -26,6 +26,7 @@ VPCS_VECTOR_WRAPPER (acosf_advsimd, _ZGVnN4v_acosf) VPCS_VECTOR_WRAPPER (asinf_advsimd, _ZGVnN4v_asinf) VPCS_VECTOR_WRAPPER (atanf_advsimd, _ZGVnN4v_atanf) +VPCS_VECTOR_WRAPPER_ff (atan2f_advsimd, _ZGVnN4vv_atan2f) VPCS_VECTOR_WRAPPER (cosf_advsimd, _ZGVnN4v_cosf) VPCS_VECTOR_WRAPPER (expf_advsimd, _ZGVnN4v_expf) VPCS_VECTOR_WRAPPER (exp10f_advsimd, _ZGVnN4v_exp10f) diff --git a/sysdeps/aarch64/fpu/test-float-sve-wrappers.c b/sysdeps/aarch64/fpu/test-float-sve-wrappers.c index dddd4cb213..f36939e2c4 100644 --- a/sysdeps/aarch64/fpu/test-float-sve-wrappers.c +++ b/sysdeps/aarch64/fpu/test-float-sve-wrappers.c @@ -32,9 +32,20 @@ return svlastb_f32 (svptrue_b32 (), mr); \ } +#define SVE_VECTOR_WRAPPER_ff(scalar_func, vector_func) \ + extern VEC_TYPE vector_func (VEC_TYPE, VEC_TYPE, svbool_t); \ + FLOAT scalar_func (FLOAT x, FLOAT y) \ + { \ + VEC_TYPE mx = svdup_n_f32 (x); \ + VEC_TYPE my = svdup_n_f32 (y); \ + VEC_TYPE mr = vector_func (mx, my, svptrue_b32 ()); \ + return svlastb_f32 (svptrue_b32 (), mr); \ + } + SVE_VECTOR_WRAPPER (acosf_sve, _ZGVsMxv_acosf) SVE_VECTOR_WRAPPER (asinf_sve, _ZGVsMxv_asinf) SVE_VECTOR_WRAPPER (atanf_sve, _ZGVsMxv_atanf) +SVE_VECTOR_WRAPPER_ff (atan2f_sve, _ZGVsMxvv_atan2f) SVE_VECTOR_WRAPPER (cosf_sve, _ZGVsMxv_cosf) SVE_VECTOR_WRAPPER (expf_sve, _ZGVsMxv_expf) SVE_VECTOR_WRAPPER (exp10f_sve, _ZGVsMxv_exp10f) diff --git a/sysdeps/aarch64/fpu/test-vpcs-vector-wrapper.h b/sysdeps/aarch64/fpu/test-vpcs-vector-wrapper.h index f8e6a3fb9d..9551a9ea6f 100644 --- a/sysdeps/aarch64/fpu/test-vpcs-vector-wrapper.h +++ b/sysdeps/aarch64/fpu/test-vpcs-vector-wrapper.h @@ -29,3 +29,17 @@ TEST_VEC_LOOP (mr, VEC_LEN); \ return ((FLOAT) mr[0]); \ } + +#define VPCS_VECTOR_WRAPPER_ff(scalar_func, vector_func) \ + extern __attribute__ ((aarch64_vector_pcs)) \ + VEC_TYPE vector_func (VEC_TYPE, VEC_TYPE); \ + FLOAT scalar_func (FLOAT x, FLOAT y) \ + { \ + int i; \ + VEC_TYPE mx, my; \ + INIT_VEC_LOOP (mx, x, VEC_LEN); \ + INIT_VEC_LOOP (my, y, VEC_LEN); \ + VEC_TYPE mr = vector_func (mx, my); \ + TEST_VEC_LOOP (mr, VEC_LEN); \ + return ((FLOAT) mr[0]); \ + } diff --git a/sysdeps/aarch64/fpu/vecmath_config.h b/sysdeps/aarch64/fpu/vecmath_config.h index 2c8e243236..0e631fbdd5 100644 --- a/sysdeps/aarch64/fpu/vecmath_config.h +++ b/sysdeps/aarch64/fpu/vecmath_config.h @@ -35,6 +35,17 @@ __ptr; \ }) +static inline uint64_t +asuint64 (double f) +{ + union + { + double f; + uint64_t i; + } u = { f }; + return u.i; +} + #define V_LOG_POLY_ORDER 6 #define V_LOG_TABLE_BITS 7 extern const struct v_log_data diff --git a/sysdeps/aarch64/libm-test-ulps b/sysdeps/aarch64/libm-test-ulps index 24a99e10da..e0699c44d8 100644 --- a/sysdeps/aarch64/libm-test-ulps +++ b/sysdeps/aarch64/libm-test-ulps @@ -106,11 +106,19 @@ Function: "atan2": float: 1 ldouble: 2 +Function: "atan2_advsimd": +double: 1 +float: 2 + Function: "atan2_downward": double: 1 float: 2 ldouble: 2 +Function: "atan2_sve": +double: 1 +float: 2 + Function: "atan2_towardzero": double: 1 float: 2 diff --git a/sysdeps/unix/sysv/linux/aarch64/libmvec.abilist b/sysdeps/unix/sysv/linux/aarch64/libmvec.abilist index a2d1b8fb6d..7961a2f374 100644 --- a/sysdeps/unix/sysv/linux/aarch64/libmvec.abilist +++ b/sysdeps/unix/sysv/linux/aarch64/libmvec.abilist @@ -22,6 +22,7 @@ GLIBC_2.39 _ZGVnN2v_exp2 F GLIBC_2.39 _ZGVnN2v_log10 F GLIBC_2.39 _ZGVnN2v_log2 F GLIBC_2.39 _ZGVnN2v_tan F +GLIBC_2.39 _ZGVnN2vv_atan2 F GLIBC_2.39 _ZGVnN4v_acosf F GLIBC_2.39 _ZGVnN4v_asinf F GLIBC_2.39 _ZGVnN4v_atanf F @@ -30,6 +31,7 @@ GLIBC_2.39 _ZGVnN4v_exp2f F GLIBC_2.39 _ZGVnN4v_log10f F GLIBC_2.39 _ZGVnN4v_log2f F GLIBC_2.39 _ZGVnN4v_tanf F +GLIBC_2.39 _ZGVnN4vv_atan2f F GLIBC_2.39 _ZGVsMxv_acos F GLIBC_2.39 _ZGVsMxv_acosf F GLIBC_2.39 _ZGVsMxv_asin F @@ -46,3 +48,5 @@ GLIBC_2.39 _ZGVsMxv_log2 F GLIBC_2.39 _ZGVsMxv_log2f F GLIBC_2.39 _ZGVsMxv_tan F GLIBC_2.39 _ZGVsMxv_tanf F +GLIBC_2.39 _ZGVsMxvv_atan2 F +GLIBC_2.39 _ZGVsMxvv_atan2f F |