105 lines
3.2 KiB
C
105 lines
3.2 KiB
C
/* Single-precision sincos function.
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Copyright (c) 2018 Arm Ltd. All rights reserved.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions
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are met:
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1. Redistributions of source code must retain the above copyright
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notice, this list of conditions and the following disclaimer.
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2. Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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3. The name of the company may not be used to endorse or promote
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products derived from this software without specific prior written
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permission.
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THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS AND ANY EXPRESS OR IMPLIED
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WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
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MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
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TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
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LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
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#include "fdlibm.h"
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#if !__OBSOLETE_MATH
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#include <stdint.h>
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#include <math.h>
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#include "math_config.h"
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#include "sincosf.h"
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/* Fast sincosf implementation. Worst-case ULP is 0.56072, maximum relative
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error is 0.5303p-23. A single-step signed range reduction is used for
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small values. Large inputs have their range reduced using fast integer
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arithmetic.
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*/
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void
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sincosf (float y, float *sinp, float *cosp)
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{
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double x = y;
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double s;
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int n;
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const sincos_t *p = &__sincosf_table[0];
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if (abstop12 (y) < abstop12 (pio4))
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{
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double x2 = x * x;
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if (unlikely (abstop12 (y) < abstop12 (0x1p-12f)))
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{
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if (unlikely (abstop12 (y) < abstop12 (0x1p-126f)))
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/* Force underflow for tiny y. */
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force_eval_float (x2);
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*sinp = y;
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*cosp = 1.0f;
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return;
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}
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sincosf_poly (x, x2, p, 0, sinp, cosp);
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}
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else if (abstop12 (y) < abstop12 (120.0f))
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{
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x = reduce_fast (x, p, &n);
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/* Setup the signs for sin and cos. */
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s = p->sign[n & 3];
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if (n & 2)
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p = &__sincosf_table[1];
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sincosf_poly (x * s, x * x, p, n, sinp, cosp);
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}
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else if (likely (abstop12 (y) < abstop12 (INFINITY)))
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{
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uint32_t xi = asuint (y);
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int sign = xi >> 31;
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x = reduce_large (xi, &n);
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/* Setup signs for sin and cos - include original sign. */
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s = p->sign[(n + sign) & 3];
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if ((n + sign) & 2)
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p = &__sincosf_table[1];
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sincosf_poly (x * s, x * x, p, n, sinp, cosp);
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}
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else
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{
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/* Return NaN if Inf or NaN for both sin and cos. */
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*sinp = *cosp = y - y;
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#if WANT_ERRNO
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/* Needed to set errno for +-Inf, the add is a hack to work
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around a gcc register allocation issue: just passing y
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affects code generation in the fast path. */
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__math_invalidf (y + y);
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#endif
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}
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}
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#endif
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