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-rw-r--r--math/aarch64/sve/cos.c88
1 files changed, 88 insertions, 0 deletions
diff --git a/math/aarch64/sve/cos.c b/math/aarch64/sve/cos.c
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+++ b/math/aarch64/sve/cos.c
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+/*
+ * 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