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-rw-r--r--math/aarch64/advsimd/hypot.c95
1 files changed, 95 insertions, 0 deletions
diff --git a/math/aarch64/advsimd/hypot.c b/math/aarch64/advsimd/hypot.c
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+++ b/math/aarch64/advsimd/hypot.c
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+/*
+ * Double-precision vector hypot(x) function.
+ *
+ * Copyright (c) 2023-2024, Arm Limited.
+ * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
+ */
+
+#include "v_math.h"
+#include "test_sig.h"
+#include "test_defs.h"
+
+#if WANT_SIMD_EXCEPT
+static const struct data
+{
+ uint64x2_t tiny_bound, thres;
+} data = {
+ .tiny_bound = V2 (0x2000000000000000), /* asuint (0x1p-511). */
+ .thres = V2 (0x3fe0000000000000), /* asuint (0x1p511) - tiny_bound. */
+};
+#else
+static const struct data
+{
+ uint64x2_t tiny_bound;
+ uint32x4_t thres;
+} data = {
+ .tiny_bound = V2 (0x0360000000000000), /* asuint (0x1p-969). */
+ .thres = V4 (0x7c900000), /* asuint (inf) - tiny_bound. */
+};
+#endif
+
+static float64x2_t VPCS_ATTR NOINLINE
+special_case (float64x2_t x, float64x2_t y, float64x2_t sqsum,
+ uint32x2_t special)
+{
+ return v_call2_f64 (hypot, x, y, vsqrtq_f64 (sqsum), vmovl_u32 (special));
+}
+
+/* Vector implementation of double-precision hypot.
+ Maximum error observed is 1.21 ULP:
+ _ZGVnN2vv_hypot (0x1.6a1b193ff85b5p-204, 0x1.bc50676c2a447p-222)
+ got 0x1.6a1b19400964ep-204
+ want 0x1.6a1b19400964dp-204. */
+#if WANT_SIMD_EXCEPT
+
+float64x2_t VPCS_ATTR V_NAME_D2 (hypot) (float64x2_t x, float64x2_t y)
+{
+ const struct data *d = ptr_barrier (&data);
+
+ float64x2_t ax = vabsq_f64 (x);
+ float64x2_t ay = vabsq_f64 (y);
+
+ uint64x2_t ix = vreinterpretq_u64_f64 (ax);
+ uint64x2_t iy = vreinterpretq_u64_f64 (ay);
+
+ /* Extreme values, NaNs, and infinities should be handled by the scalar
+ fallback for correct flag handling. */
+ uint64x2_t specialx = vcgeq_u64 (vsubq_u64 (ix, d->tiny_bound), d->thres);
+ uint64x2_t specialy = vcgeq_u64 (vsubq_u64 (iy, d->tiny_bound), d->thres);
+ ax = v_zerofy_f64 (ax, specialx);
+ ay = v_zerofy_f64 (ay, specialy);
+ uint32x2_t special = vaddhn_u64 (specialx, specialy);
+
+ float64x2_t sqsum = vfmaq_f64 (vmulq_f64 (ax, ax), ay, ay);
+
+ if (unlikely (v_any_u32h (special)))
+ return special_case (x, y, sqsum, special);
+
+ return vsqrtq_f64 (sqsum);
+}
+#else
+
+float64x2_t VPCS_ATTR V_NAME_D2 (hypot) (float64x2_t x, float64x2_t y)
+{
+ const struct data *d = ptr_barrier (&data);
+
+ float64x2_t sqsum = vfmaq_f64 (vmulq_f64 (x, x), y, y);
+
+ uint32x2_t special
+ = vcge_u32 (vsubhn_u64 (vreinterpretq_u64_f64 (sqsum), d->tiny_bound),
+ vget_low_u32 (d->thres));
+
+ if (unlikely (v_any_u32h (special)))
+ return special_case (x, y, sqsum, special);
+
+ return vsqrtq_f64 (sqsum);
+}
+#endif
+
+TEST_SIG (V, D, 2, hypot, -10.0, 10.0)
+TEST_ULP (V_NAME_D2 (hypot), 1.21)
+TEST_DISABLE_FENV_IF_NOT (V_NAME_D2 (hypot), WANT_SIMD_EXCEPT)
+TEST_INTERVAL2 (V_NAME_D2 (hypot), 0, inf, 0, inf, 10000)
+TEST_INTERVAL2 (V_NAME_D2 (hypot), 0, inf, -0, -inf, 10000)
+TEST_INTERVAL2 (V_NAME_D2 (hypot), -0, -inf, 0, inf, 10000)
+TEST_INTERVAL2 (V_NAME_D2 (hypot), -0, -inf, -0, -inf, 10000)