//===-- Single-precision sincos 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 // //===----------------------------------------------------------------------===// #include "src/math/sincosf.h" #include "math_utils.h" #include "sincosf_utils.h" #include "src/__support/common.h" #include #include namespace __llvm_libc { // Fast sincosf implementation. Worst-case ULP is 0.5607, maximum relative // error is 0.5303 * 2^-23. A single-step range reduction is used for // small values. Large inputs have their range reduced using fast integer // arithmetic. LLVM_LIBC_FUNCTION(void, sincosf, (float y, float *sinp, float *cosp)) { double x = y; double s; int n; const sincos_t *p = &SINCOSF_TABLE[0]; if (abstop12(y) < abstop12(PIO4)) { double x2 = x * x; if (unlikely(abstop12(y) < abstop12(as_float(0x39800000)))) { if (unlikely(abstop12(y) < abstop12(as_float(0x800000)))) // Force underflow for tiny y. force_eval(x2); *sinp = y; *cosp = 1.0f; return; } sincosf_poly(x, x2, p, 0, sinp, cosp); } else if (abstop12(y) < abstop12(120.0f)) { x = reduce_fast(x, p, &n); // Setup the signs for sin and cos. s = p->sign[n & 3]; if (n & 2) p = &SINCOSF_TABLE[1]; sincosf_poly(x * s, x * x, p, n, sinp, cosp); } else if (likely(abstop12(y) < abstop12(INFINITY))) { uint32_t xi = as_uint32_bits(y); int sign = xi >> 31; x = reduce_large(xi, &n); // Setup signs for sin and cos - include original sign. s = p->sign[(n + sign) & 3]; if ((n + sign) & 2) p = &SINCOSF_TABLE[1]; sincosf_poly(x * s, x * x, p, n, sinp, cosp); } else { // Return NaN if Inf or NaN for both sin and cos. *sinp = *cosp = y - y; // Needed to set errno for +-Inf, the add is a hack to work // around a gcc register allocation issue: just passing y // affects code generation in the fast path. invalid(y + y); } } } // namespace __llvm_libc