aboutsummaryrefslogtreecommitdiff
path: root/contrib/arm-optimized-routines/pl/math/sv_log2f_2u5.c
diff options
context:
space:
mode:
Diffstat (limited to 'contrib/arm-optimized-routines/pl/math/sv_log2f_2u5.c')
-rw-r--r--contrib/arm-optimized-routines/pl/math/sv_log2f_2u5.c86
1 files changed, 86 insertions, 0 deletions
diff --git a/contrib/arm-optimized-routines/pl/math/sv_log2f_2u5.c b/contrib/arm-optimized-routines/pl/math/sv_log2f_2u5.c
new file mode 100644
index 000000000000..9e96c62bbcc6
--- /dev/null
+++ b/contrib/arm-optimized-routines/pl/math/sv_log2f_2u5.c
@@ -0,0 +1,86 @@
+/*
+ * Single-precision vector/SVE log2 function.
+ *
+ * Copyright (c) 2022-2023, 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"
+
+static const struct data
+{
+ float poly_02468[5];
+ float poly_1357[4];
+} data = {
+ .poly_1357 = {
+ /* Coefficients copied from the AdvSIMD routine, then rearranged so that coeffs
+ 1, 3, 5 and 7 can be loaded as a single quad-word, hence used with _lane
+ variant of MLA intrinsic. */
+ -0x1.715458p-1f, -0x1.7171a4p-2f, -0x1.e5143ep-3f, -0x1.c675bp-3f
+ },
+ .poly_02468 = { 0x1.715476p0f, 0x1.ec701cp-2f, 0x1.27a0b8p-2f,
+ 0x1.9d8ecap-3f, 0x1.9e495p-3f },
+};
+
+#define Min (0x00800000)
+#define Max (0x7f800000)
+#define Thres (0x7f000000) /* Max - Min. */
+#define MantissaMask (0x007fffff)
+#define Off (0x3f2aaaab) /* 0.666667. */
+
+static svfloat32_t NOINLINE
+special_case (svfloat32_t x, svfloat32_t y, svbool_t cmp)
+{
+ return sv_call_f32 (log2f, x, y, cmp);
+}
+
+/* Optimised implementation of SVE log2f, using the same algorithm
+ and polynomial as AdvSIMD log2f.
+ Maximum error is 2.48 ULPs:
+ SV_NAME_F1 (log2)(0x1.558174p+0) got 0x1.a9be84p-2
+ want 0x1.a9be8p-2. */
+svfloat32_t SV_NAME_F1 (log2) (svfloat32_t x, const svbool_t pg)
+{
+ const struct data *d = ptr_barrier (&data);
+
+ svuint32_t u = svreinterpret_u32 (x);
+ svbool_t special = svcmpge (pg, svsub_x (pg, u, Min), Thres);
+
+ /* x = 2^n * (1+r), where 2/3 < 1+r < 4/3. */
+ u = svsub_x (pg, u, Off);
+ svfloat32_t n = svcvt_f32_x (
+ pg, svasr_x (pg, svreinterpret_s32 (u), 23)); /* Sign-extend. */
+ u = svand_x (pg, u, MantissaMask);
+ u = svadd_x (pg, u, Off);
+ svfloat32_t r = svsub_x (pg, svreinterpret_f32 (u), 1.0f);
+
+ /* y = log2(1+r) + n. */
+ svfloat32_t r2 = svmul_x (pg, r, r);
+
+ /* Evaluate polynomial using pairwise Horner scheme. */
+ svfloat32_t p_1357 = svld1rq (svptrue_b32 (), &d->poly_1357[0]);
+ svfloat32_t q_01 = svmla_lane (sv_f32 (d->poly_02468[0]), r, p_1357, 0);
+ svfloat32_t q_23 = svmla_lane (sv_f32 (d->poly_02468[1]), r, p_1357, 1);
+ svfloat32_t q_45 = svmla_lane (sv_f32 (d->poly_02468[2]), r, p_1357, 2);
+ svfloat32_t q_67 = svmla_lane (sv_f32 (d->poly_02468[3]), r, p_1357, 3);
+ svfloat32_t y = svmla_x (pg, q_67, r2, sv_f32 (d->poly_02468[4]));
+ y = svmla_x (pg, q_45, r2, y);
+ y = svmla_x (pg, q_23, r2, y);
+ y = svmla_x (pg, q_01, r2, y);
+
+ if (unlikely (svptest_any (pg, special)))
+ return special_case (x, svmla_x (svnot_z (pg, special), n, r, y), special);
+ return svmla_x (pg, n, r, y);
+}
+
+PL_SIG (SV, F, 1, log2, 0.01, 11.1)
+PL_TEST_ULP (SV_NAME_F1 (log2), 1.99)
+PL_TEST_EXPECT_FENV_ALWAYS (SV_NAME_F1 (log2))
+PL_TEST_INTERVAL (SV_NAME_F1 (log2), -0.0, -0x1p126, 4000)
+PL_TEST_INTERVAL (SV_NAME_F1 (log2), 0.0, 0x1p-126, 4000)
+PL_TEST_INTERVAL (SV_NAME_F1 (log2), 0x1p-126, 0x1p-23, 50000)
+PL_TEST_INTERVAL (SV_NAME_F1 (log2), 0x1p-23, 1.0, 50000)
+PL_TEST_INTERVAL (SV_NAME_F1 (log2), 1.0, 100, 50000)
+PL_TEST_INTERVAL (SV_NAME_F1 (log2), 100, inf, 50000)