diff options
Diffstat (limited to 'contrib/arm-optimized-routines/math/aarch64/sve/sv_log_inline.h')
-rw-r--r-- | contrib/arm-optimized-routines/math/aarch64/sve/sv_log_inline.h | 83 |
1 files changed, 83 insertions, 0 deletions
diff --git a/contrib/arm-optimized-routines/math/aarch64/sve/sv_log_inline.h b/contrib/arm-optimized-routines/math/aarch64/sve/sv_log_inline.h new file mode 100644 index 000000000000..a1b169a0b727 --- /dev/null +++ b/contrib/arm-optimized-routines/math/aarch64/sve/sv_log_inline.h @@ -0,0 +1,83 @@ +/* + * Double-precision vector log(x) function - inline version + * + * Copyright (c) 2024, Arm Limited. + * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception + */ + +#include "sv_math.h" +#include "math_config.h" + +#ifndef SV_LOG_INLINE_POLY_ORDER +# error Cannot use inline log helper without specifying poly order (options are 4 or 5) +#endif + +#if SV_LOG_INLINE_POLY_ORDER == 4 +# define POLY \ + { \ + -0x1.ffffffffcbad3p-2, 0x1.555555578ed68p-2, -0x1.0000d3a1e7055p-2, \ + 0x1.999392d02a63ep-3 \ + } +#elif SV_LOG_INLINE_POLY_ORDER == 5 +# define POLY \ + { \ + -0x1.ffffffffffff7p-2, 0x1.55555555170d4p-2, -0x1.0000000399c27p-2, \ + 0x1.999b2e90e94cap-3, -0x1.554e550bd501ep-3 \ + } +#else +# error Can only choose order 4 or 5 for log poly +#endif + +struct sv_log_inline_data +{ + double poly[SV_LOG_INLINE_POLY_ORDER]; + double ln2; + uint64_t off, sign_exp_mask; +}; + +#define SV_LOG_CONSTANTS \ + { \ + .poly = POLY, .ln2 = 0x1.62e42fefa39efp-1, \ + .sign_exp_mask = 0xfff0000000000000, .off = 0x3fe6900900000000 \ + } + +#define P(i) sv_f64 (d->poly[i]) +#define N (1 << V_LOG_TABLE_BITS) + +static inline svfloat64_t +sv_log_inline (svbool_t pg, svfloat64_t x, const struct sv_log_inline_data *d) +{ + svuint64_t ix = svreinterpret_u64 (x); + + /* x = 2^k z; where z is in range [Off,2*Off) and exact. + The range is split into N subintervals. + The ith subinterval contains z and c is near its center. */ + svuint64_t tmp = svsub_x (pg, ix, d->off); + /* Calculate table index = (tmp >> (52 - V_LOG_TABLE_BITS)) % N. + The actual value of i is double this due to table layout. */ + svuint64_t i + = svand_x (pg, svlsr_x (pg, tmp, (51 - V_LOG_TABLE_BITS)), (N - 1) << 1); + svint64_t k + = svasr_x (pg, svreinterpret_s64 (tmp), 52); /* Arithmetic shift. */ + svuint64_t iz = svsub_x (pg, ix, svand_x (pg, tmp, 0xfffULL << 52)); + svfloat64_t z = svreinterpret_f64 (iz); + + /* Lookup in 2 global lists (length N). */ + svfloat64_t invc = svld1_gather_index (pg, &__v_log_data.table[0].invc, i); + svfloat64_t logc = svld1_gather_index (pg, &__v_log_data.table[0].logc, i); + + /* log(x) = log1p(z/c-1) + log(c) + k*Ln2. */ + svfloat64_t r = svmad_x (pg, invc, z, -1); + svfloat64_t kd = svcvt_f64_x (pg, k); + /* hi = r + log(c) + k*Ln2. */ + svfloat64_t hi = svmla_x (pg, svadd_x (pg, logc, r), kd, __v_log_data.ln2); + /* y = r2*(A0 + r*A1 + r2*(A2 + r*A3 + r2*A4)) + hi. */ + svfloat64_t r2 = svmul_x (pg, r, r); + svfloat64_t y = svmla_x (pg, P (2), r, P (3)); + svfloat64_t p = svmla_x (pg, P (0), r, P (1)); +#if SV_LOG_INLINE_POLY_ORDER == 5 + y = svmla_x (pg, P (4), r2); +#endif + y = svmla_x (pg, p, r2, y); + return svmla_x (pg, hi, r2, y); +} |