diff options
author | Andrew Turner <andrew@FreeBSD.org> | 2025-01-10 10:34:52 +0000 |
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committer | Andrew Turner <andrew@FreeBSD.org> | 2025-01-10 10:39:34 +0000 |
commit | 9d1de25930735261c16ed874a933b4c1f1d9041e (patch) | |
tree | b0cac1c933cc1ecb885c7e757b89ffbf13f1f012 /pl/math/sv_log1pf_1u3.c | |
parent | edc5c0de794f521eb620d2b6cbaee2434442a8f3 (diff) |
Diffstat (limited to 'pl/math/sv_log1pf_1u3.c')
-rw-r--r-- | pl/math/sv_log1pf_1u3.c | 97 |
1 files changed, 0 insertions, 97 deletions
diff --git a/pl/math/sv_log1pf_1u3.c b/pl/math/sv_log1pf_1u3.c deleted file mode 100644 index ea1a3dbf723a..000000000000 --- a/pl/math/sv_log1pf_1u3.c +++ /dev/null @@ -1,97 +0,0 @@ -/* - * Single-precision vector log(x + 1) function. - * - * Copyright (c) 2023, Arm Limited. - * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception - */ - -#include "sv_math.h" -#include "pl_sig.h" -#include "pl_test.h" -#include "poly_sve_f32.h" - -static const struct data -{ - float poly[8]; - float ln2, exp_bias; - uint32_t four, three_quarters; -} data = {.poly = {/* Do not store first term of polynomial, which is -0.5, as - this can be fmov-ed directly instead of including it in - the main load-and-mla polynomial schedule. */ - 0x1.5555aap-2f, -0x1.000038p-2f, 0x1.99675cp-3f, - -0x1.54ef78p-3f, 0x1.28a1f4p-3f, -0x1.0da91p-3f, - 0x1.abcb6p-4f, -0x1.6f0d5ep-5f}, - .ln2 = 0x1.62e43p-1f, - .exp_bias = 0x1p-23f, - .four = 0x40800000, - .three_quarters = 0x3f400000}; - -#define SignExponentMask 0xff800000 - -static svfloat32_t NOINLINE -special_case (svfloat32_t x, svfloat32_t y, svbool_t special) -{ - return sv_call_f32 (log1pf, x, y, special); -} - -/* Vector log1pf approximation using polynomial on reduced interval. Worst-case - error is 1.27 ULP very close to 0.5. - _ZGVsMxv_log1pf(0x1.fffffep-2) got 0x1.9f324p-2 - want 0x1.9f323ep-2. */ -svfloat32_t SV_NAME_F1 (log1p) (svfloat32_t x, svbool_t pg) -{ - const struct data *d = ptr_barrier (&data); - /* x < -1, Inf/Nan. */ - svbool_t special = svcmpeq (pg, svreinterpret_u32 (x), 0x7f800000); - special = svorn_z (pg, special, svcmpge (pg, x, -1)); - - /* With x + 1 = t * 2^k (where t = m + 1 and k is chosen such that m - is in [-0.25, 0.5]): - log1p(x) = log(t) + log(2^k) = log1p(m) + k*log(2). - - We approximate log1p(m) with a polynomial, then scale by - k*log(2). Instead of doing this directly, we use an intermediate - scale factor s = 4*k*log(2) to ensure the scale is representable - as a normalised fp32 number. */ - svfloat32_t m = svadd_x (pg, x, 1); - - /* Choose k to scale x to the range [-1/4, 1/2]. */ - svint32_t k - = svand_x (pg, svsub_x (pg, svreinterpret_s32 (m), d->three_quarters), - sv_s32 (SignExponentMask)); - - /* Scale x by exponent manipulation. */ - svfloat32_t m_scale = svreinterpret_f32 ( - svsub_x (pg, svreinterpret_u32 (x), svreinterpret_u32 (k))); - - /* Scale up to ensure that the scale factor is representable as normalised - fp32 number, and scale m down accordingly. */ - svfloat32_t s = svreinterpret_f32 (svsubr_x (pg, k, d->four)); - m_scale = svadd_x (pg, m_scale, svmla_x (pg, sv_f32 (-1), s, 0.25)); - - /* Evaluate polynomial on reduced interval. */ - svfloat32_t ms2 = svmul_x (pg, m_scale, m_scale), - ms4 = svmul_x (pg, ms2, ms2); - svfloat32_t p = sv_estrin_7_f32_x (pg, m_scale, ms2, ms4, d->poly); - p = svmad_x (pg, m_scale, p, -0.5); - p = svmla_x (pg, m_scale, m_scale, svmul_x (pg, m_scale, p)); - - /* The scale factor to be applied back at the end - by multiplying float(k) - by 2^-23 we get the unbiased exponent of k. */ - svfloat32_t scale_back = svmul_x (pg, svcvt_f32_x (pg, k), d->exp_bias); - - /* Apply the scaling back. */ - svfloat32_t y = svmla_x (pg, p, scale_back, d->ln2); - - if (unlikely (svptest_any (pg, special))) - return special_case (x, y, special); - - return y; -} - -PL_SIG (SV, F, 1, log1p, -0.9, 10.0) -PL_TEST_ULP (SV_NAME_F1 (log1p), 0.77) -PL_TEST_SYM_INTERVAL (SV_NAME_F1 (log1p), 0, 0x1p-23, 5000) -PL_TEST_SYM_INTERVAL (SV_NAME_F1 (log1p), 0x1p-23, 1, 5000) -PL_TEST_INTERVAL (SV_NAME_F1 (log1p), 1, inf, 10000) -PL_TEST_INTERVAL (SV_NAME_F1 (log1p), -1, -inf, 10) |