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-rw-r--r--pl/math/sv_sin_3u.c89
1 files changed, 89 insertions, 0 deletions
diff --git a/pl/math/sv_sin_3u.c b/pl/math/sv_sin_3u.c
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+++ b/pl/math/sv_sin_3u.c
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+/*
+ * Double-precision SVE sin(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 InvPi (sv_f64 (0x1.45f306dc9c883p-2))
+#define HalfPi (sv_f64 (0x1.921fb54442d18p+0))
+#define InvPio2 (sv_f64 (0x1.45f306dc9c882p-1))
+#define NegPio2_1 (sv_f64 (-0x1.921fb50000000p+0))
+#define NegPio2_2 (sv_f64 (-0x1.110b460000000p-26))
+#define NegPio2_3 (sv_f64 (-0x1.1a62633145c07p-54))
+#define Shift (sv_f64 (0x1.8p52))
+#define RangeVal (sv_f64 (0x1p23))
+#define AbsMask (0x7fffffffffffffff)
+
+static NOINLINE sv_f64_t
+__sv_sin_specialcase (sv_f64_t x, sv_f64_t y, svbool_t cmp)
+{
+ return sv_call_f64 (sin, x, y, cmp);
+}
+
+/* A fast SVE implementation of sin based on trigonometric
+ instructions (FTMAD, FTSSEL, FTSMUL).
+ Maximum observed error in 2.52 ULP:
+ __sv_sin(0x1.2d2b00df69661p+19) got 0x1.10ace8f3e786bp-40
+ want 0x1.10ace8f3e7868p-40. */
+sv_f64_t
+__sv_sin_x (sv_f64_t x, const svbool_t pg)
+{
+ sv_f64_t n, r, r2, y;
+ sv_u64_t sign;
+ svbool_t cmp;
+
+ r = sv_as_f64_u64 (svand_n_u64_x (pg, sv_as_u64_f64 (x), AbsMask));
+ sign = svand_n_u64_x (pg, sv_as_u64_f64 (x), ~AbsMask);
+ cmp = svcmpge_u64 (pg, sv_as_u64_f64 (r), sv_as_u64_f64 (RangeVal));
+
+ /* n = rint(|x|/(pi/2)). */
+ sv_f64_t q = sv_fma_f64_x (pg, InvPio2, r, Shift);
+ n = svsub_f64_x (pg, q, Shift);
+
+ /* r = |x| - n*(pi/2) (range reduction into -pi/4 .. pi/4). */
+ r = sv_fma_f64_x (pg, NegPio2_1, n, r);
+ r = sv_fma_f64_x (pg, NegPio2_2, n, r);
+ r = sv_fma_f64_x (pg, NegPio2_3, n, r);
+
+ /* Final multiplicative factor: 1.0 or x depending on bit #0 of q. */
+ sv_f64_t f = svtssel_f64 (r, sv_as_u64_f64 (q));
+
+ /* sin(r) poly approx. */
+ r2 = svtsmul_f64 (r, sv_as_u64_f64 (q));
+ y = sv_f64 (0.0);
+ y = svtmad_f64 (y, r2, 7);
+ y = svtmad_f64 (y, r2, 6);
+ y = svtmad_f64 (y, r2, 5);
+ y = svtmad_f64 (y, r2, 4);
+ y = svtmad_f64 (y, r2, 3);
+ y = svtmad_f64 (y, r2, 2);
+ y = svtmad_f64 (y, r2, 1);
+ y = svtmad_f64 (y, r2, 0);
+
+ /* Apply factor. */
+ y = svmul_f64_x (pg, f, y);
+
+ /* sign = y^sign. */
+ y = sv_as_f64_u64 (sveor_u64_x (pg, sv_as_u64_f64 (y), sign));
+
+ /* 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_sin_specialcase (x, y, cmp);
+ return y;
+}
+
+PL_ALIAS (__sv_sin_x, _ZGVsMxv_sin)
+
+PL_SIG (SV, D, 1, sin, -3.1, 3.1)
+PL_TEST_ULP (__sv_sin, 2.03)
+PL_TEST_INTERVAL (__sv_sin, 0, 0xffff0000, 10000)
+PL_TEST_INTERVAL (__sv_sin, 0x1p-4, 0x1p4, 500000)
+#endif