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Diffstat (limited to 'math/aarch64/sve/cos.c')
-rw-r--r-- | math/aarch64/sve/cos.c | 88 |
1 files changed, 88 insertions, 0 deletions
diff --git a/math/aarch64/sve/cos.c b/math/aarch64/sve/cos.c new file mode 100644 index 000000000000..93e93674a98a --- /dev/null +++ b/math/aarch64/sve/cos.c @@ -0,0 +1,88 @@ +/* + * Double-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 +{ + double inv_pio2, pio2_1, pio2_2, pio2_3, shift; +} data = { + /* Polynomial coefficients are hardwired in FTMAD instructions. */ + .inv_pio2 = 0x1.45f306dc9c882p-1, + .pio2_1 = 0x1.921fb50000000p+0, + .pio2_2 = 0x1.110b460000000p-26, + .pio2_3 = 0x1.1a62633145c07p-54, + /* Original shift used in AdvSIMD cos, + plus a contribution to set the bit #0 of q + as expected by trigonometric instructions. */ + .shift = 0x1.8000000000001p52 +}; + +#define RangeVal 0x4160000000000000 /* asuint64 (0x1p23). */ + +static svfloat64_t NOINLINE +special_case (svfloat64_t x, svfloat64_t y, svbool_t oob) +{ + return sv_call_f64 (cos, x, y, oob); +} + +/* A fast SVE implementation of cos based on trigonometric + instructions (FTMAD, FTSSEL, FTSMUL). + Maximum measured error: 2.108 ULPs. + SV_NAME_D1 (cos)(0x1.9b0ba158c98f3p+7) got -0x1.fddd4c65c7f07p-3 + want -0x1.fddd4c65c7f05p-3. */ +svfloat64_t SV_NAME_D1 (cos) (svfloat64_t x, const svbool_t pg) +{ + const struct data *d = ptr_barrier (&data); + + svfloat64_t r = svabs_x (pg, x); + svbool_t oob = svcmpge (pg, svreinterpret_u64 (r), RangeVal); + + /* Load some constants in quad-word chunks to minimise memory access. */ + svbool_t ptrue = svptrue_b64 (); + svfloat64_t invpio2_and_pio2_1 = svld1rq (ptrue, &d->inv_pio2); + svfloat64_t pio2_23 = svld1rq (ptrue, &d->pio2_2); + + /* n = rint(|x|/(pi/2)). */ + svfloat64_t q = svmla_lane (sv_f64 (d->shift), r, invpio2_and_pio2_1, 0); + svfloat64_t n = svsub_x (pg, q, d->shift); + + /* r = |x| - n*(pi/2) (range reduction into -pi/4 .. pi/4). */ + r = svmls_lane (r, n, invpio2_and_pio2_1, 1); + r = svmls_lane (r, n, pio2_23, 0); + r = svmls_lane (r, n, pio2_23, 1); + + /* cos(r) poly approx. */ + svfloat64_t r2 = svtsmul (r, svreinterpret_u64 (q)); + svfloat64_t y = sv_f64 (0.0); + y = svtmad (y, r2, 7); + y = svtmad (y, r2, 6); + y = svtmad (y, r2, 5); + 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); + + /* Final multiplicative factor: 1.0 or x depending on bit #0 of q. */ + svfloat64_t f = svtssel (r, svreinterpret_u64 (q)); + + if (unlikely (svptest_any (pg, oob))) + return special_case (x, svmul_x (svnot_z (pg, oob), y, f), oob); + + /* Apply factor. */ + return svmul_x (pg, f, y); +} + +TEST_SIG (SV, D, 1, cos, -3.1, 3.1) +TEST_ULP (SV_NAME_D1 (cos), 1.61) +TEST_DISABLE_FENV (SV_NAME_D1 (cos)) +TEST_INTERVAL (SV_NAME_D1 (cos), 0, 0xffff0000, 10000) +TEST_INTERVAL (SV_NAME_D1 (cos), 0x1p-4, 0x1p4, 500000) +CLOSE_SVE_ATTR |