diff options
Diffstat (limited to 'pl/math/atanhf_3u1.c')
-rw-r--r-- | pl/math/atanhf_3u1.c | 86 |
1 files changed, 0 insertions, 86 deletions
diff --git a/pl/math/atanhf_3u1.c b/pl/math/atanhf_3u1.c deleted file mode 100644 index e99d5a9900a9..000000000000 --- a/pl/math/atanhf_3u1.c +++ /dev/null @@ -1,86 +0,0 @@ -/* - * Single-precision atanh(x) function. - * - * Copyright (c) 2022-2023, Arm Limited. - * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception - */ - -#include "math_config.h" -#include "mathlib.h" -#include "pl_sig.h" -#include "pl_test.h" - -#define AbsMask 0x7fffffff -#define Half 0x3f000000 -#define One 0x3f800000 -#define Four 0x40800000 -#define Ln2 0x1.62e43p-1f -/* asuint(0x1p-12), below which atanhf(x) rounds to x. */ -#define TinyBound 0x39800000 - -#define C(i) __log1pf_data.coeffs[i] - -static inline float -eval_poly (float m) -{ - /* Approximate log(1+m) on [-0.25, 0.5] using Estrin scheme. */ - float p_12 = fmaf (m, C (1), C (0)); - float p_34 = fmaf (m, C (3), C (2)); - float p_56 = fmaf (m, C (5), C (4)); - float p_78 = fmaf (m, C (7), C (6)); - - float m2 = m * m; - float p_02 = fmaf (m2, p_12, m); - float p_36 = fmaf (m2, p_56, p_34); - float p_79 = fmaf (m2, C (8), p_78); - - float m4 = m2 * m2; - float p_06 = fmaf (m4, p_36, p_02); - - return fmaf (m4 * p_79, m4, p_06); -} - -static inline float -log1pf_inline (float x) -{ - /* Helper for calculating log(x + 1). Copied from log1pf_2u1.c, with no - special-case handling. See that file for details of the algorithm. */ - float m = x + 1.0f; - int k = (asuint (m) - 0x3f400000) & 0xff800000; - float s = asfloat (Four - k); - float m_scale = asfloat (asuint (x) - k) + fmaf (0.25f, s, -1.0f); - float p = eval_poly (m_scale); - float scale_back = (float) k * 0x1.0p-23f; - return fmaf (scale_back, Ln2, p); -} - -/* Approximation for single-precision inverse tanh(x), using a simplified - version of log1p. Maximum error is 3.08 ULP: - atanhf(0x1.ff0d5p-5) got 0x1.ffb768p-5 - want 0x1.ffb76ep-5. */ -float -atanhf (float x) -{ - uint32_t ix = asuint (x); - uint32_t iax = ix & AbsMask; - uint32_t sign = ix & ~AbsMask; - - if (unlikely (iax < TinyBound)) - return x; - - if (iax == One) - return __math_divzero (sign); - - if (unlikely (iax > One)) - return __math_invalidf (x); - - float halfsign = asfloat (Half | sign); - float ax = asfloat (iax); - return halfsign * log1pf_inline ((2 * ax) / (1 - ax)); -} - -PL_SIG (S, F, 1, atanh, -1.0, 1.0) -PL_TEST_ULP (atanhf, 2.59) -PL_TEST_SYM_INTERVAL (atanhf, 0, 0x1p-12, 500) -PL_TEST_SYM_INTERVAL (atanhf, 0x1p-12, 1, 200000) -PL_TEST_SYM_INTERVAL (atanhf, 1, inf, 1000) |