diff options
Diffstat (limited to 'math/aarch64/sve/cosf.c')
| -rw-r--r-- | math/aarch64/sve/cosf.c | 82 |
1 files changed, 82 insertions, 0 deletions
diff --git a/math/aarch64/sve/cosf.c b/math/aarch64/sve/cosf.c new file mode 100644 index 000000000000..7d18f8c2ad21 --- /dev/null +++ b/math/aarch64/sve/cosf.c @@ -0,0 +1,82 @@ +/* + * Single-precision SVE cos(x) function. + * + * Copyright (c) 2019-2024, 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 neg_pio2_1, neg_pio2_2, neg_pio2_3, inv_pio2, shift; +} data = { + /* Polynomial coefficients are hard-wired in FTMAD instructions. */ + .neg_pio2_1 = -0x1.921fb6p+0f, + .neg_pio2_2 = 0x1.777a5cp-25f, + .neg_pio2_3 = 0x1.ee59dap-50f, + .inv_pio2 = 0x1.45f306p-1f, + /* Original shift used in AdvSIMD cosf, + plus a contribution to set the bit #0 of q + as expected by trigonometric instructions. */ + .shift = 0x1.800002p+23f +}; + +#define RangeVal 0x49800000 /* asuint32(0x1p20f). */ + +static svfloat32_t NOINLINE +special_case (svfloat32_t x, svfloat32_t y, svbool_t oob) +{ + return sv_call_f32 (cosf, x, y, oob); +} + +/* A fast SVE implementation of cosf based on trigonometric + instructions (FTMAD, FTSSEL, FTSMUL). + Maximum measured error: 2.06 ULPs. + SV_NAME_F1 (cos)(0x1.dea2f2p+19) got 0x1.fffe7ap-6 + want 0x1.fffe76p-6. */ +svfloat32_t SV_NAME_F1 (cos) (svfloat32_t x, const svbool_t pg) +{ + const struct data *d = ptr_barrier (&data); + + svfloat32_t r = svabs_x (pg, x); + svbool_t oob = svcmpge (pg, svreinterpret_u32 (r), RangeVal); + + /* Load some constants in quad-word chunks to minimise memory access. */ + svfloat32_t negpio2_and_invpio2 = svld1rq (svptrue_b32 (), &d->neg_pio2_1); + + /* n = rint(|x|/(pi/2)). */ + svfloat32_t q = svmla_lane (sv_f32 (d->shift), r, negpio2_and_invpio2, 3); + svfloat32_t n = svsub_x (pg, q, d->shift); + + /* r = |x| - n*(pi/2) (range reduction into -pi/4 .. pi/4). */ + r = svmla_lane (r, n, negpio2_and_invpio2, 0); + r = svmla_lane (r, n, negpio2_and_invpio2, 1); + r = svmla_lane (r, n, negpio2_and_invpio2, 2); + + /* Final multiplicative factor: 1.0 or x depending on bit #0 of q. */ + svfloat32_t f = svtssel (r, svreinterpret_u32 (q)); + + /* cos(r) poly approx. */ + svfloat32_t r2 = svtsmul (r, svreinterpret_u32 (q)); + svfloat32_t y = sv_f32 (0.0f); + y = svtmad (y, r2, 4); + y = svtmad (y, r2, 3); + y = svtmad (y, r2, 2); + y = svtmad (y, r2, 1); + y = svtmad (y, r2, 0); + + if (unlikely (svptest_any (pg, oob))) + return special_case (x, svmul_x (svnot_z (pg, oob), f, y), oob); + /* Apply factor. */ + return svmul_x (pg, f, y); +} + +TEST_SIG (SV, F, 1, cos, -3.1, 3.1) +TEST_ULP (SV_NAME_F1 (cos), 1.57) +TEST_DISABLE_FENV (SV_NAME_F1 (cos)) +TEST_INTERVAL (SV_NAME_F1 (cos), 0, 0xffff0000, 10000) +TEST_INTERVAL (SV_NAME_F1 (cos), 0x1p-4, 0x1p4, 500000) +CLOSE_SVE_ATTR |
