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Diffstat (limited to 'math/aarch64/experimental/atanf_common.h')
-rw-r--r-- | math/aarch64/experimental/atanf_common.h | 38 |
1 files changed, 38 insertions, 0 deletions
diff --git a/math/aarch64/experimental/atanf_common.h b/math/aarch64/experimental/atanf_common.h new file mode 100644 index 000000000000..3e6542047309 --- /dev/null +++ b/math/aarch64/experimental/atanf_common.h @@ -0,0 +1,38 @@ +/* + * Single-precision polynomial evaluation function for scalar + * atan(x) and atan2(y,x). + * + * Copyright (c) 2021-2024, Arm Limited. + * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception + */ + +#ifndef PL_MATH_ATANF_COMMON_H +#define PL_MATH_ATANF_COMMON_H + +#include "math_config.h" +#include "poly_scalar_f32.h" + +/* Polynomial used in fast atanf(x) and atan2f(y,x) implementations + The order 7 polynomial P approximates (atan(sqrt(x))-sqrt(x))/x^(3/2). */ +static inline float +eval_poly (float z, float az, float shift) +{ + /* Use 2-level Estrin scheme for P(z^2) with deg(P)=7. However, + a standard implementation using z8 creates spurious underflow + in the very last fma (when z^8 is small enough). + Therefore, we split the last fma into a mul and and an fma. + Horner and single-level Estrin have higher errors that exceed + threshold. */ + float z2 = z * z; + float z4 = z2 * z2; + + /* Then assemble polynomial. */ + float y = fmaf ( + z4, z4 * pairwise_poly_3_f32 (z2, z4, __atanf_poly_data.poly + 4), + pairwise_poly_3_f32 (z2, z4, __atanf_poly_data.poly)); + /* Finalize: + y = shift + z * P(z^2). */ + return fmaf (y, z2 * az, az) + shift; +} + +#endif // PL_MATH_ATANF_COMMON_H |