diff options
Diffstat (limited to 'pl/math/sv_sinhf_2u3.c')
-rw-r--r-- | pl/math/sv_sinhf_2u3.c | 64 |
1 files changed, 64 insertions, 0 deletions
diff --git a/pl/math/sv_sinhf_2u3.c b/pl/math/sv_sinhf_2u3.c new file mode 100644 index 000000000000..e34ecf378ad3 --- /dev/null +++ b/pl/math/sv_sinhf_2u3.c @@ -0,0 +1,64 @@ +/* + * Single-precision SVE sinh(x) 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 "sv_expm1f_inline.h" + +static const struct data +{ + struct sv_expm1f_data expm1f_consts; + uint32_t halff, large_bound; +} data = { + .expm1f_consts = SV_EXPM1F_DATA, + .halff = 0x3f000000, + /* 0x1.61814ep+6, above which expm1f helper overflows. */ + .large_bound = 0x42b0c0a7, +}; + +static svfloat32_t NOINLINE +special_case (svfloat32_t x, svfloat32_t y, svbool_t pg) +{ + return sv_call_f32 (sinhf, x, y, pg); +} + +/* Approximation for SVE single-precision sinh(x) using expm1. + sinh(x) = (exp(x) - exp(-x)) / 2. + The maximum error is 2.26 ULP: + _ZGVsMxv_sinhf (0x1.e34a9ep-4) got 0x1.e469ep-4 + want 0x1.e469e4p-4. */ +svfloat32_t SV_NAME_F1 (sinh) (svfloat32_t x, const svbool_t pg) +{ + const struct data *d = ptr_barrier (&data); + svfloat32_t ax = svabs_x (pg, x); + svuint32_t sign + = sveor_x (pg, svreinterpret_u32 (x), svreinterpret_u32 (ax)); + svfloat32_t halfsign = svreinterpret_f32 (svorr_x (pg, sign, d->halff)); + + svbool_t special = svcmpge (pg, svreinterpret_u32 (ax), d->large_bound); + + /* Up to the point that expm1f overflows, we can use it to calculate sinhf + using a slight rearrangement of the definition of asinh. This allows us to + retain acceptable accuracy for very small inputs. */ + svfloat32_t t = expm1f_inline (ax, pg, &d->expm1f_consts); + t = svadd_x (pg, t, svdiv_x (pg, t, svadd_x (pg, t, 1.0))); + + /* Fall back to the scalar variant for any lanes which would cause + expm1f to overflow. */ + if (unlikely (svptest_any (pg, special))) + return special_case (x, svmul_x (pg, t, halfsign), special); + + return svmul_x (pg, t, halfsign); +} + +PL_SIG (SV, F, 1, sinh, -10.0, 10.0) +PL_TEST_ULP (SV_NAME_F1 (sinh), 1.76) +PL_TEST_SYM_INTERVAL (SV_NAME_F1 (sinh), 0, 0x1.6a09e8p-32, 1000) +PL_TEST_SYM_INTERVAL (SV_NAME_F1 (sinh), 0x1.6a09e8p-32, 0x42b0c0a7, 100000) +PL_TEST_SYM_INTERVAL (SV_NAME_F1 (sinh), 0x42b0c0a7, inf, 1000) |