Use expm1f(x) = exp(x) - 1 for |x| > ln(2). For |x| <= ln(2), divide it into 3 subintervals: [-ln2, -1/8], [-1/8, 1/8], [1/8, ln2] and use a degree-6 polynomial approximation generated by Sollya's fpminmax for each interval. Errors < 1.5 ULPs when we use fma to evaluate the polynomials. Differential Revision: https://reviews.llvm.org/D101134
17 lines
582 B
C++
17 lines
582 B
C++
//===-- Differential test for expm1f --------------------------------------===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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#include "SingleInputSingleOutputDiff.h"
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#include "src/math/expm1f.h"
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#include <math.h>
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SINGLE_INPUT_SINGLE_OUTPUT_PERF(float, __llvm_libc::expm1f, ::expm1f,
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"expm1f_perf.log")
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