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Diffstat (limited to 'pl/math/sv_cosf_2u1.c')
-rw-r--r-- | pl/math/sv_cosf_2u1.c | 82 |
1 files changed, 82 insertions, 0 deletions
diff --git a/pl/math/sv_cosf_2u1.c b/pl/math/sv_cosf_2u1.c new file mode 100644 index 0000000..8f138bc --- /dev/null +++ b/pl/math/sv_cosf_2u1.c @@ -0,0 +1,82 @@ +/* + * Single-precision SVE cos(x) function. + * + * Copyright (c) 2019-2023, 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" + +#if SV_SUPPORTED + +#define NegPio2_1 (sv_f32 (-0x1.921fb6p+0f)) +#define NegPio2_2 (sv_f32 (0x1.777a5cp-25f)) +#define NegPio2_3 (sv_f32 (0x1.ee59dap-50f)) +#define RangeVal (sv_f32 (0x1p20f)) +#define InvPio2 (sv_f32 (0x1.45f306p-1f)) +/* Original shift used in Neon cosf, + plus a contribution to set the bit #0 of q + as expected by trigonometric instructions. */ +#define Shift (sv_f32 (0x1.800002p+23f)) +#define AbsMask (0x7fffffff) + +static NOINLINE sv_f32_t +__sv_cosf_specialcase (sv_f32_t x, sv_f32_t y, svbool_t cmp) +{ + return sv_call_f32 (cosf, x, y, cmp); +} + +/* A fast SVE implementation of cosf based on trigonometric + instructions (FTMAD, FTSSEL, FTSMUL). + Maximum measured error: 2.06 ULPs. + __sv_cosf(0x1.dea2f2p+19) got 0x1.fffe7ap-6 + want 0x1.fffe76p-6. */ +sv_f32_t +__sv_cosf_x (sv_f32_t x, const svbool_t pg) +{ + sv_f32_t n, r, r2, y; + svbool_t cmp; + + r = sv_as_f32_u32 (svand_n_u32_x (pg, sv_as_u32_f32 (x), AbsMask)); + cmp = svcmpge_u32 (pg, sv_as_u32_f32 (r), sv_as_u32_f32 (RangeVal)); + + /* n = rint(|x|/(pi/2)). */ + sv_f32_t q = sv_fma_f32_x (pg, InvPio2, r, Shift); + n = svsub_f32_x (pg, q, Shift); + + /* r = |x| - n*(pi/2) (range reduction into -pi/4 .. pi/4). */ + r = sv_fma_f32_x (pg, NegPio2_1, n, r); + r = sv_fma_f32_x (pg, NegPio2_2, n, r); + r = sv_fma_f32_x (pg, NegPio2_3, n, r); + + /* Final multiplicative factor: 1.0 or x depending on bit #0 of q. */ + sv_f32_t f = svtssel_f32 (r, sv_as_u32_f32 (q)); + + /* cos(r) poly approx. */ + r2 = svtsmul_f32 (r, sv_as_u32_f32 (q)); + y = sv_f32 (0.0f); + y = svtmad_f32 (y, r2, 4); + y = svtmad_f32 (y, r2, 3); + y = svtmad_f32 (y, r2, 2); + y = svtmad_f32 (y, r2, 1); + y = svtmad_f32 (y, r2, 0); + + /* Apply factor. */ + y = svmul_f32_x (pg, f, y); + + /* No need to pass pg to specialcase here since cmp is a strict subset, + guaranteed by the cmpge above. */ + if (unlikely (svptest_any (pg, cmp))) + return __sv_cosf_specialcase (x, y, cmp); + return y; +} + +PL_ALIAS (__sv_cosf_x, _ZGVsMxv_cosf) + +PL_SIG (SV, F, 1, cos, -3.1, 3.1) +PL_TEST_ULP (__sv_cosf, 1.57) +PL_TEST_INTERVAL (__sv_cosf, 0, 0xffff0000, 10000) +PL_TEST_INTERVAL (__sv_cosf, 0x1p-4, 0x1p4, 500000) +#endif |