aboutsummaryrefslogtreecommitdiff
path: root/pl/math/sv_sinhf_2u3.c
diff options
context:
space:
mode:
Diffstat (limited to 'pl/math/sv_sinhf_2u3.c')
-rw-r--r--pl/math/sv_sinhf_2u3.c64
1 files changed, 64 insertions, 0 deletions
diff --git a/pl/math/sv_sinhf_2u3.c b/pl/math/sv_sinhf_2u3.c
new file mode 100644
index 000000000000..e34ecf378ad3
--- /dev/null
+++ b/pl/math/sv_sinhf_2u3.c
@@ -0,0 +1,64 @@
+/*
+ * Single-precision SVE sinh(x) function.
+ *
+ * Copyright (c) 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"
+
+#include "sv_expm1f_inline.h"
+
+static const struct data
+{
+ struct sv_expm1f_data expm1f_consts;
+ uint32_t halff, large_bound;
+} data = {
+ .expm1f_consts = SV_EXPM1F_DATA,
+ .halff = 0x3f000000,
+ /* 0x1.61814ep+6, above which expm1f helper overflows. */
+ .large_bound = 0x42b0c0a7,
+};
+
+static svfloat32_t NOINLINE
+special_case (svfloat32_t x, svfloat32_t y, svbool_t pg)
+{
+ return sv_call_f32 (sinhf, x, y, pg);
+}
+
+/* Approximation for SVE single-precision sinh(x) using expm1.
+ sinh(x) = (exp(x) - exp(-x)) / 2.
+ The maximum error is 2.26 ULP:
+ _ZGVsMxv_sinhf (0x1.e34a9ep-4) got 0x1.e469ep-4
+ want 0x1.e469e4p-4. */
+svfloat32_t SV_NAME_F1 (sinh) (svfloat32_t x, const svbool_t pg)
+{
+ const struct data *d = ptr_barrier (&data);
+ svfloat32_t ax = svabs_x (pg, x);
+ svuint32_t sign
+ = sveor_x (pg, svreinterpret_u32 (x), svreinterpret_u32 (ax));
+ svfloat32_t halfsign = svreinterpret_f32 (svorr_x (pg, sign, d->halff));
+
+ svbool_t special = svcmpge (pg, svreinterpret_u32 (ax), d->large_bound);
+
+ /* Up to the point that expm1f overflows, we can use it to calculate sinhf
+ using a slight rearrangement of the definition of asinh. This allows us to
+ retain acceptable accuracy for very small inputs. */
+ svfloat32_t t = expm1f_inline (ax, pg, &d->expm1f_consts);
+ t = svadd_x (pg, t, svdiv_x (pg, t, svadd_x (pg, t, 1.0)));
+
+ /* Fall back to the scalar variant for any lanes which would cause
+ expm1f to overflow. */
+ if (unlikely (svptest_any (pg, special)))
+ return special_case (x, svmul_x (pg, t, halfsign), special);
+
+ return svmul_x (pg, t, halfsign);
+}
+
+PL_SIG (SV, F, 1, sinh, -10.0, 10.0)
+PL_TEST_ULP (SV_NAME_F1 (sinh), 1.76)
+PL_TEST_SYM_INTERVAL (SV_NAME_F1 (sinh), 0, 0x1.6a09e8p-32, 1000)
+PL_TEST_SYM_INTERVAL (SV_NAME_F1 (sinh), 0x1.6a09e8p-32, 0x42b0c0a7, 100000)
+PL_TEST_SYM_INTERVAL (SV_NAME_F1 (sinh), 0x42b0c0a7, inf, 1000)