diff options
Diffstat (limited to 'math/aarch64/sve/log2f.c')
| -rw-r--r-- | math/aarch64/sve/log2f.c | 94 |
1 files changed, 94 insertions, 0 deletions
diff --git a/math/aarch64/sve/log2f.c b/math/aarch64/sve/log2f.c new file mode 100644 index 000000000000..312fd448226b --- /dev/null +++ b/math/aarch64/sve/log2f.c @@ -0,0 +1,94 @@ +/* + * Single-precision vector/SVE log2 function. + * + * Copyright (c) 2022-2024, Arm Limited. + * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception + */ + +#include "sv_math.h" +#include "test_sig.h" +#include "test_defs.h" + +static const struct data +{ + float poly_02468[5]; + float poly_1357[4]; + uint32_t off, lower; +} data = { + .poly_1357 = { + /* Coefficients copied from the AdvSIMD routine, then rearranged so that coeffs + 1, 3, 5 and 7 can be loaded as a single quad-word, hence used with _lane + variant of MLA intrinsic. */ + -0x1.715458p-1f, -0x1.7171a4p-2f, -0x1.e5143ep-3f, -0x1.c675bp-3f + }, + .poly_02468 = { 0x1.715476p0f, 0x1.ec701cp-2f, 0x1.27a0b8p-2f, + 0x1.9d8ecap-3f, 0x1.9e495p-3f }, + .off = 0x3f2aaaab, + /* Lower bound is the smallest positive normal float 0x00800000. For + optimised register use subnormals are detected after offset has been + subtracted, so lower bound is 0x0080000 - offset (which wraps around). */ + .lower = 0x00800000 - 0x3f2aaaab +}; + +#define Thresh (0x7f000000) /* asuint32(inf) - 0x00800000. */ +#define MantissaMask (0x007fffff) + +static svfloat32_t NOINLINE +special_case (svuint32_t u_off, svfloat32_t p, svfloat32_t r2, svfloat32_t y, + svbool_t cmp) +{ + return sv_call_f32 ( + log2f, svreinterpret_f32 (svadd_x (svptrue_b32 (), u_off, data.off)), + svmla_x (svptrue_b32 (), p, r2, y), cmp); +} + +/* Optimised implementation of SVE log2f, using the same algorithm + and polynomial as AdvSIMD log2f. + Maximum error is 2.48 ULPs: + SV_NAME_F1 (log2)(0x1.558174p+0) got 0x1.a9be84p-2 + want 0x1.a9be8p-2. */ +svfloat32_t SV_NAME_F1 (log2) (svfloat32_t x, const svbool_t pg) +{ + const struct data *d = ptr_barrier (&data); + + svuint32_t u_off = svreinterpret_u32 (x); + + u_off = svsub_x (pg, u_off, d->off); + svbool_t special = svcmpge (pg, svsub_x (pg, u_off, d->lower), Thresh); + + /* x = 2^n * (1+r), where 2/3 < 1+r < 4/3. */ + svfloat32_t n = svcvt_f32_x ( + pg, svasr_x (pg, svreinterpret_s32 (u_off), 23)); /* Sign-extend. */ + svuint32_t u = svand_x (pg, u_off, MantissaMask); + u = svadd_x (pg, u, d->off); + svfloat32_t r = svsub_x (pg, svreinterpret_f32 (u), 1.0f); + + /* y = log2(1+r) + n. */ + svfloat32_t r2 = svmul_x (svptrue_b32 (), r, r); + + /* Evaluate polynomial using pairwise Horner scheme. */ + svfloat32_t p_1357 = svld1rq (svptrue_b32 (), &d->poly_1357[0]); + svfloat32_t q_01 = svmla_lane (sv_f32 (d->poly_02468[0]), r, p_1357, 0); + svfloat32_t q_23 = svmla_lane (sv_f32 (d->poly_02468[1]), r, p_1357, 1); + svfloat32_t q_45 = svmla_lane (sv_f32 (d->poly_02468[2]), r, p_1357, 2); + svfloat32_t q_67 = svmla_lane (sv_f32 (d->poly_02468[3]), r, p_1357, 3); + svfloat32_t y = svmla_x (pg, q_67, r2, sv_f32 (d->poly_02468[4])); + y = svmla_x (pg, q_45, r2, y); + y = svmla_x (pg, q_23, r2, y); + y = svmla_x (pg, q_01, r2, y); + + if (unlikely (svptest_any (pg, special))) + return special_case (u_off, n, r, y, special); + return svmla_x (svptrue_b32 (), n, r, y); +} + +TEST_SIG (SV, F, 1, log2, 0.01, 11.1) +TEST_ULP (SV_NAME_F1 (log2), 1.99) +TEST_DISABLE_FENV (SV_NAME_F1 (log2)) +TEST_INTERVAL (SV_NAME_F1 (log2), -0.0, -0x1p126, 4000) +TEST_INTERVAL (SV_NAME_F1 (log2), 0.0, 0x1p-126, 4000) +TEST_INTERVAL (SV_NAME_F1 (log2), 0x1p-126, 0x1p-23, 50000) +TEST_INTERVAL (SV_NAME_F1 (log2), 0x1p-23, 1.0, 50000) +TEST_INTERVAL (SV_NAME_F1 (log2), 1.0, 100, 50000) +TEST_INTERVAL (SV_NAME_F1 (log2), 100, inf, 50000) +CLOSE_SVE_ATTR |
