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-rw-r--r--math/aarch64/advsimd/acosh.c65
1 files changed, 65 insertions, 0 deletions
diff --git a/math/aarch64/advsimd/acosh.c b/math/aarch64/advsimd/acosh.c
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index 000000000000..55d8ed5a421e
--- /dev/null
+++ b/math/aarch64/advsimd/acosh.c
@@ -0,0 +1,65 @@
+/*
+ * Double-precision vector acosh(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"
+
+#define WANT_V_LOG1P_K0_SHORTCUT 1
+#include "v_log1p_inline.h"
+
+const static struct data
+{
+ struct v_log1p_data log1p_consts;
+ uint64x2_t one, thresh;
+} data = {
+ .log1p_consts = V_LOG1P_CONSTANTS_TABLE,
+ .one = V2 (0x3ff0000000000000),
+ .thresh = V2 (0x1ff0000000000000) /* asuint64(0x1p511) - asuint64(1). */
+};
+
+static float64x2_t NOINLINE VPCS_ATTR
+special_case (float64x2_t x, float64x2_t y, uint64x2_t special,
+ const struct v_log1p_data *d)
+{
+ return v_call_f64 (acosh, x, log1p_inline (y, d), special);
+}
+
+/* Vector approximation for double-precision acosh, based on log1p.
+ The largest observed error is 3.02 ULP in the region where the
+ argument to log1p falls in the k=0 interval, i.e. x close to 1:
+ _ZGVnN2v_acosh(0x1.00798aaf80739p+0) got 0x1.f2d6d823bc9dfp-5
+ want 0x1.f2d6d823bc9e2p-5. */
+VPCS_ATTR float64x2_t V_NAME_D1 (acosh) (float64x2_t x)
+{
+ const struct data *d = ptr_barrier (&data);
+ uint64x2_t special
+ = vcgeq_u64 (vsubq_u64 (vreinterpretq_u64_f64 (x), d->one), d->thresh);
+ float64x2_t special_arg = x;
+
+#if WANT_SIMD_EXCEPT
+ if (unlikely (v_any_u64 (special)))
+ x = vbslq_f64 (special, vreinterpretq_f64_u64 (d->one), x);
+#endif
+
+ float64x2_t xm1 = vsubq_f64 (x, v_f64 (1.0));
+ float64x2_t y = vaddq_f64 (x, v_f64 (1.0));
+ y = vmulq_f64 (y, xm1);
+ y = vsqrtq_f64 (y);
+ y = vaddq_f64 (xm1, y);
+
+ if (unlikely (v_any_u64 (special)))
+ return special_case (special_arg, y, special, &d->log1p_consts);
+ return log1p_inline (y, &d->log1p_consts);
+}
+
+TEST_SIG (V, D, 1, acosh, 1.0, 10.0)
+TEST_ULP (V_NAME_D1 (acosh), 2.53)
+TEST_DISABLE_FENV_IF_NOT (V_NAME_D1 (acosh), WANT_SIMD_EXCEPT)
+TEST_INTERVAL (V_NAME_D1 (acosh), 1, 0x1p511, 90000)
+TEST_INTERVAL (V_NAME_D1 (acosh), 0x1p511, inf, 10000)
+TEST_INTERVAL (V_NAME_D1 (acosh), 0, 1, 1000)
+TEST_INTERVAL (V_NAME_D1 (acosh), -0, -inf, 10000)