diff options
Diffstat (limited to 'pl/math/sinh_3u.c')
-rw-r--r-- | pl/math/sinh_3u.c | 63 |
1 files changed, 0 insertions, 63 deletions
diff --git a/pl/math/sinh_3u.c b/pl/math/sinh_3u.c deleted file mode 100644 index 1d86629ee2a3..000000000000 --- a/pl/math/sinh_3u.c +++ /dev/null @@ -1,63 +0,0 @@ -/* - * Double-precision sinh(x) function. - * - * Copyright (c) 2022-2023, Arm Limited. - * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception - */ - -#include "math_config.h" -#include "pl_sig.h" -#include "pl_test.h" - -#define AbsMask 0x7fffffffffffffff -#define Half 0x3fe0000000000000 -#define OFlowBound \ - 0x40862e42fefa39f0 /* 0x1.62e42fefa39fp+9, above which using expm1 results \ - in NaN. */ - -double -__exp_dd (double, double); - -/* Approximation for double-precision sinh(x) using expm1. - sinh(x) = (exp(x) - exp(-x)) / 2. - The greatest observed error is 2.57 ULP: - __v_sinh(0x1.9fb1d49d1d58bp-2) got 0x1.ab34e59d678dcp-2 - want 0x1.ab34e59d678d9p-2. */ -double -sinh (double x) -{ - uint64_t ix = asuint64 (x); - uint64_t iax = ix & AbsMask; - double ax = asdouble (iax); - uint64_t sign = ix & ~AbsMask; - double halfsign = asdouble (Half | sign); - - if (unlikely (iax >= OFlowBound)) - { - /* Special values and overflow. */ - if (unlikely (iax > 0x7ff0000000000000)) - return __math_invalidf (x); - /* expm1 overflows a little before sinh. We have to fill this - gap by using a different algorithm, in this case we use a - double-precision exp helper. For large x sinh(x) is dominated - by exp(x), however we cannot compute exp without overflow - either. We use the identity: exp(a) = (exp(a / 2)) ^ 2 - to compute sinh(x) ~= (exp(|x| / 2)) ^ 2 / 2 for x > 0 - ~= (exp(|x| / 2)) ^ 2 / -2 for x < 0. */ - double e = __exp_dd (ax / 2, 0); - return (e * halfsign) * e; - } - - /* Use expm1f to retain acceptable precision for small numbers. - Let t = e^(|x|) - 1. */ - double t = expm1 (ax); - /* Then sinh(x) = (t + t / (t + 1)) / 2 for x > 0 - (t + t / (t + 1)) / -2 for x < 0. */ - return (t + t / (t + 1)) * halfsign; -} - -PL_SIG (S, D, 1, sinh, -10.0, 10.0) -PL_TEST_ULP (sinh, 2.08) -PL_TEST_SYM_INTERVAL (sinh, 0, 0x1p-51, 100) -PL_TEST_SYM_INTERVAL (sinh, 0x1p-51, 0x1.62e42fefa39fp+9, 100000) -PL_TEST_SYM_INTERVAL (sinh, 0x1.62e42fefa39fp+9, inf, 1000) |