diff options
Diffstat (limited to 'libc/src/math/generic/atanf16.cpp')
-rw-r--r-- | libc/src/math/generic/atanf16.cpp | 95 |
1 files changed, 2 insertions, 93 deletions
diff --git a/libc/src/math/generic/atanf16.cpp b/libc/src/math/generic/atanf16.cpp index 9b6ec65..7191c42 100644 --- a/libc/src/math/generic/atanf16.cpp +++ b/libc/src/math/generic/atanf16.cpp @@ -7,101 +7,10 @@ //===----------------------------------------------------------------------===// #include "src/math/atanf16.h" -#include "hdr/errno_macros.h" -#include "hdr/fenv_macros.h" -#include "src/__support/FPUtil/FEnvImpl.h" -#include "src/__support/FPUtil/FPBits.h" -#include "src/__support/FPUtil/PolyEval.h" -#include "src/__support/FPUtil/cast.h" -#include "src/__support/FPUtil/except_value_utils.h" -#include "src/__support/FPUtil/multiply_add.h" -#include "src/__support/FPUtil/sqrt.h" -#include "src/__support/macros/optimization.h" +#include "src/__support/math/atanf16.h" namespace LIBC_NAMESPACE_DECL { -// Generated by Solly using the following command: -// > round(pi/2, SG, RN); -static constexpr float PI_2 = 0x1.921fb6p0; - -#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS -static constexpr size_t N_EXCEPTS = 6; - -static constexpr fputil::ExceptValues<float16, N_EXCEPTS> ATANF16_EXCEPTS{{ - // (input, RZ output, RU offset, RD offset, RN offset) - {0x2745, 0x2744, 1, 0, 1}, - {0x3099, 0x3090, 1, 0, 1}, - {0x3c6c, 0x3aae, 1, 0, 1}, - {0x466e, 0x3daa, 1, 0, 1}, - {0x48ae, 0x3ddb, 1, 0, 0}, - {0x5619, 0x3e3d, 1, 0, 1}, -}}; -#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS - -LLVM_LIBC_FUNCTION(float16, atanf16, (float16 x)) { - using FPBits = fputil::FPBits<float16>; - FPBits xbits(x); - - uint16_t x_u = xbits.uintval(); - uint16_t x_abs = x_u & 0x7fff; - bool x_sign = x_u >> 15; - float sign = (x_sign ? -1.0 : 1.0); - - // |x| >= +/-inf - if (LIBC_UNLIKELY(x_abs >= 0x7c00)) { - if (xbits.is_nan()) { - if (xbits.is_signaling_nan()) { - fputil::raise_except_if_required(FE_INVALID); - return FPBits::quiet_nan().get_val(); - } - return x; - } - - // atanf16(+/-inf) = +/-pi/2 - return fputil::cast<float16>(sign * PI_2); - } - - float xf = x; - float xsq = xf * xf; -#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS - // Handle exceptional values - if (auto r = ATANF16_EXCEPTS.lookup_odd(x_abs, x_sign); - LIBC_UNLIKELY(r.has_value())) - return r.value(); -#endif - - // |x| <= 0x1p0, |x| <= 1 - if (x_abs <= 0x3c00) { - // atanf16(+/-0) = +/-0 - if (LIBC_UNLIKELY(x_abs == 0)) - return x; - - // Degree-14 minimax odd polynomial of atan(x) generated by Sollya with: - // > P = fpminimax(atan(x)/x, [|0, 2, 4, 6, 8, 10, 12, 14|], [|SG...|], - // [0, 1]); - float result = fputil::polyeval( - xsq, 0x1.fffffcp-1f, -0x1.55519ep-2f, 0x1.98f6a8p-3f, -0x1.1f0a92p-3f, - 0x1.95b654p-4f, -0x1.e65492p-5f, 0x1.8c0c36p-6f, -0x1.32316ep-8f); - return fputil::cast<float16>(xf * result); - } - - // If |x| > 1 - // y = atan(x) = sign(x) * atan(|x|) - // atan(|x|) = pi/2 - atan(1/|x|) - // Recall, 1/|x| < 1 - float x_inv_sq = 1.0f / xsq; - float x_inv = fputil::sqrt<float>(x_inv_sq); - - // Degree-14 minimax odd polynomial of atan(x) generated by Sollya with: - // > P = fpminimax(atan(x)/x, [|0, 2, 4, 6, 8, 10, 12, 14|], [|SG...|], - // [0, 1]); - float interm = - fputil::polyeval(x_inv_sq, 0x1.fffffcp-1f, -0x1.55519ep-2f, - 0x1.98f6a8p-3f, -0x1.1f0a92p-3f, 0x1.95b654p-4f, - -0x1.e65492p-5f, 0x1.8c0c36p-6f, -0x1.32316ep-8f); - - return fputil::cast<float16>(sign * - fputil::multiply_add(x_inv, -interm, PI_2)); -} +LLVM_LIBC_FUNCTION(float16, atanf16, (float16 x)) { return math::atanf16(x); } } // namespace LIBC_NAMESPACE_DECL |