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Diffstat (limited to 'math/aarch64/experimental/atan_common.h')
-rw-r--r-- | math/aarch64/experimental/atan_common.h | 33 |
1 files changed, 33 insertions, 0 deletions
diff --git a/math/aarch64/experimental/atan_common.h b/math/aarch64/experimental/atan_common.h new file mode 100644 index 000000000000..1fd83860219b --- /dev/null +++ b/math/aarch64/experimental/atan_common.h @@ -0,0 +1,33 @@ +/* + * Double-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 + */ + +#include "math_config.h" +#include "poly_scalar_f64.h" + +/* Polynomial used in fast atan(x) and atan2(y,x) implementations + The order 19 polynomial P approximates (atan(sqrt(x))-sqrt(x))/x^(3/2). */ +static inline double +eval_poly (double z, double az, double shift) +{ + /* Use split Estrin scheme for P(z^2) with deg(P)=19. Use split instead of + full scheme to avoid underflow in x^16. */ + double z2 = z * z; + double x2 = z2 * z2; + double x4 = x2 * x2; + double x8 = x4 * x4; + double y = fma (estrin_11_f64 (z2, x2, x4, x8, __atan_poly_data.poly + 8), + x8, estrin_7_f64 (z2, x2, x4, __atan_poly_data.poly)); + + /* Finalize. y = shift + z + z^3 * P(z^2). */ + y = fma (y, z2 * az, az); + y = y + shift; + + return y; +} + +#undef P |