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[libc][math][c23] Add atanhf16 C23 math function. #132612
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[libc][math][c23] Add atanhf16 C23 math function.
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| Original file line number | Diff line number | Diff line change |
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| //===-- Implementation header for atanhf16 ----------------------*- C++ -*-===// | ||
| // | ||
| // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. | ||
| // See https://llvm.org/LICENSE.txt for license information. | ||
| // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception | ||
| // | ||
| //===----------------------------------------------------------------------===// | ||
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| #ifndef LLVM_LIBC_SRC_MATH_ATANHF16_H | ||
| #define LLVM_LIBC_SRC_MATH_ATANHF16_H | ||
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| #include "src/__support/macros/config.h" | ||
| #include "src/__support/macros/properties/types.h" | ||
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| namespace LIBC_NAMESPACE_DECL { | ||
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| float16 atanhf16(float16 x); | ||
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| } // namespace LIBC_NAMESPACE_DECL | ||
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| #endif // LLVM_LIBC_SRC_MATH_ATANHF16_H |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,98 @@ | ||
| //===-- Half-precision atanh(x) function ----------------------------------===// | ||
| // | ||
| // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. | ||
| // See https://llvm.org/LICENSE.txt for license information. | ||
| // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception | ||
| // | ||
| //===----------------------------------------------------------------------===// | ||
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| #include "src/math/atanhf16.h" | ||
| #include "explogxf.h" | ||
| #include "hdr/errno_macros.h" | ||
| #include "hdr/fenv_macros.h" | ||
| #include "src/__support/FPUtil/FEnvImpl.h" | ||
| #include "src/__support/FPUtil/FPBits.h" | ||
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| #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/common.h" | ||
| #include "src/__support/macros/config.h" | ||
| #include "src/__support/macros/optimization.h" | ||
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| namespace LIBC_NAMESPACE_DECL { | ||
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| static constexpr size_t N_EXCEPTS = 1; | ||
| static constexpr fputil::ExceptValues<float16, N_EXCEPTS> ATANHF16_EXCEPTS{{ | ||
| // (input, RZ output, RU offset, RD offset, RN offset) | ||
| // x = 0x1.a5cp-4, atanhf16(x) = 0x1.a74p-4 (RZ) | ||
| {0x2E97, 0x2E9D, 1, 0, 0}, | ||
| }}; | ||
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| LLVM_LIBC_FUNCTION(float16, atanhf16, (float16 x)) { | ||
| using FPBits = fputil::FPBits<float16>; | ||
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| FPBits xbits(x); | ||
| Sign sign = xbits.sign(); | ||
| uint16_t x_abs = xbits.abs().uintval(); | ||
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| // |x| >= 1 | ||
| if (LIBC_UNLIKELY(x_abs >= 0x3c00U)) { | ||
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| if (xbits.is_nan()) { | ||
| if (xbits.is_signaling_nan()) { | ||
| fputil::raise_except_if_required(FE_INVALID); | ||
| return FPBits::quiet_nan().get_val(); | ||
| } | ||
| return x; | ||
| } | ||
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| // |x| == 1.0 | ||
| if (x_abs == 0x3c00U) { | ||
| fputil::set_errno_if_required(ERANGE); | ||
| fputil::raise_except_if_required(FE_DIVBYZERO); | ||
| return FPBits::inf(sign).get_val(); | ||
| } | ||
| // |x| > 1.0 | ||
| fputil::set_errno_if_required(EDOM); | ||
| fputil::raise_except_if_required(FE_INVALID); | ||
| return FPBits::quiet_nan().get_val(); | ||
| } | ||
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| if (auto r = ATANHF16_EXCEPTS.lookup(xbits.uintval()); | ||
| LIBC_UNLIKELY(r.has_value())) | ||
| return r.value(); | ||
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| // For |x| less than approximately 0.24 | ||
| if (LIBC_UNLIKELY(x_abs <= 0x33f3U)) { | ||
| // atanh(+/-0) = +/-0 | ||
| if (LIBC_UNLIKELY(x_abs == 0U)) | ||
| return x; | ||
| // The Taylor expansion of atanh(x) is: | ||
| // atanh(x) = x + x^3/3 + x^5/5 + x^7/7 + x^9/9 + x^11/11 | ||
| // = x * [1 + x^2/3 + x^4/5 + x^6/7 + x^8/9 + x^10/11] | ||
| // When |x| < 2^-5 (0x0800U), this can be approximated by: | ||
| // atanh(x) ≈ x + (1/3)*x^3 | ||
| if (LIBC_UNLIKELY(x_abs < 0x0800U)) { | ||
| float xf = x; | ||
| return fputil::cast<float16>(xf + 0x1.555556p-2f * xf * xf * xf); | ||
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| } | ||
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| // For 2^-5 <= |x| <= 0x1.fccp-3 (~0.24): | ||
| // Let t = x^2. | ||
| // Define P(t) ≈ (1/3)*t + (1/5)*t^2 + (1/7)*t^3 + (1/9)*t^4 + (1/11)*t^5. | ||
| // Coefficients (from Sollya, RN, hexadecimal): | ||
| // 1/3 = 0x1.555556p-2, 1/5 = 0x1.99999ap-3, 1/7 = 0x1.24924ap-3, | ||
| // 1/9 = 0x1.c71c72p-4, 1/11 = 0x1.745d18p-4 | ||
| // Thus, atanh(x) ≈ x * (1 + P(x^2)). | ||
| float xf = x; | ||
| float x2 = xf * xf; | ||
| float pe = fputil::polyeval(x2, 0.0f, 0x1.555556p-2f, 0x1.99999ap-3f, | ||
| 0x1.24924ap-3f, 0x1.c71c72p-4f, 0x1.745d18p-4f); | ||
| return fputil::cast<float16>(fputil::multiply_add(xf, pe, xf)); | ||
| } | ||
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| float xf = x; | ||
| return fputil::cast<float16>(0.5 * log_eval_f((xf + 1.0f) / (xf - 1.0f))); | ||
| } | ||
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| } // namespace LIBC_NAMESPACE_DECL | ||
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