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Diffstat (limited to 'libc/src/math/generic/acoshf16.cpp')
-rw-r--r--libc/src/math/generic/acoshf16.cpp98
1 files changed, 2 insertions, 96 deletions
diff --git a/libc/src/math/generic/acoshf16.cpp b/libc/src/math/generic/acoshf16.cpp
index 44783a8..bb3a91f 100644
--- a/libc/src/math/generic/acoshf16.cpp
+++ b/libc/src/math/generic/acoshf16.cpp
@@ -7,104 +7,10 @@
//===----------------------------------------------------------------------===//
#include "src/math/acoshf16.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"
-#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/common.h"
-#include "src/__support/macros/config.h"
-#include "src/__support/macros/optimization.h"
+#include "src/__support/math/acoshf16.h"
namespace LIBC_NAMESPACE_DECL {
-static constexpr size_t N_EXCEPTS = 2;
-static constexpr fputil::ExceptValues<float16, N_EXCEPTS> ACOSHF16_EXCEPTS{{
- // (input, RZ output, RU offset, RD offset, RN offset)
- // x = 0x1.6dcp+1, acoshf16(x) = 0x1.b6p+0 (RZ)
- {0x41B7, 0x3ED8, 1, 0, 0},
- // x = 0x1.39p+0, acoshf16(x) = 0x1.4f8p-1 (RZ)
- {0x3CE4, 0x393E, 1, 0, 1},
-}};
-
-LLVM_LIBC_FUNCTION(float16, acoshf16, (float16 x)) {
- using FPBits = fputil::FPBits<float16>;
- FPBits xbits(x);
- uint16_t x_u = xbits.uintval();
-
- // Check for NaN input first.
- if (LIBC_UNLIKELY(xbits.is_inf_or_nan())) {
- if (xbits.is_signaling_nan()) {
- fputil::raise_except_if_required(FE_INVALID);
- return FPBits::quiet_nan().get_val();
- }
- if (xbits.is_neg()) {
- fputil::set_errno_if_required(EDOM);
- fputil::raise_except_if_required(FE_INVALID);
- return FPBits::quiet_nan().get_val();
- }
- return x;
- }
-
- // Domain error for inputs less than 1.0.
- if (LIBC_UNLIKELY(x <= 1.0f)) {
- if (x == 1.0f)
- return FPBits::zero().get_val();
- fputil::set_errno_if_required(EDOM);
- fputil::raise_except_if_required(FE_INVALID);
- return FPBits::quiet_nan().get_val();
- }
-
- if (auto r = ACOSHF16_EXCEPTS.lookup(xbits.uintval());
- LIBC_UNLIKELY(r.has_value()))
- return r.value();
-
- float xf = x;
- // High-precision polynomial approximation for inputs close to 1.0
- // ([1, 1.25)).
- //
- // Brief derivation:
- // 1. Expand acosh(1 + delta) using Taylor series around delta=0:
- // acosh(1 + delta) ≈ sqrt(2 * delta) * [1 - delta/12 + 3*delta^2/160
- // - 5*delta^3/896 + 35*delta^4/18432 + ...]
- // 2. Truncate the series to fit accurately for delta in [0, 0.25].
- // 3. Polynomial coefficients (from sollya) used here are:
- // P(delta) ≈ 1 - 0x1.555556p-4 * delta + 0x1.333334p-6 * delta^2
- // - 0x1.6db6dcp-8 * delta^3 + 0x1.f1c71cp-10 * delta^4
- // 4. The Sollya commands used to generate these coefficients were:
- // > display = hexadecimal;
- // > round(1/12, SG, RN);
- // > round(3/160, SG, RN);
- // > round(5/896, SG, RN);
- // > round(35/18432, SG, RN);
- // With hexadecimal display mode enabled, the outputs were:
- // 0x1.555556p-4
- // 0x1.333334p-6
- // 0x1.6db6dcp-8
- // 0x1.f1c71cp-10
- // 5. The maximum absolute error, estimated using:
- // dirtyinfnorm(acosh(1 + x) - sqrt(2*x) * P(x), [0, 0.25])
- // is:
- // 0x1.d84281p-22
- if (LIBC_UNLIKELY(x_u < 0x3D00U)) {
- float delta = xf - 1.0f;
- float sqrt_2_delta = fputil::sqrt<float>(2.0 * delta);
- float pe = fputil::polyeval(delta, 0x1p+0f, -0x1.555556p-4f, 0x1.333334p-6f,
- -0x1.6db6dcp-8f, 0x1.f1c71cp-10f);
- float approx = sqrt_2_delta * pe;
- return fputil::cast<float16>(approx);
- }
-
- // acosh(x) = log(x + sqrt(x^2 - 1))
- float sqrt_term = fputil::sqrt<float>(fputil::multiply_add(xf, xf, -1.0f));
- float result = static_cast<float>(log_eval(xf + sqrt_term));
-
- return fputil::cast<float16>(result);
-}
+LLVM_LIBC_FUNCTION(float16, acoshf16, (float16 x)) { return math::acoshf16(x); }
} // namespace LIBC_NAMESPACE_DECL