72db1c11e9
atanh, atanhf, atanhl): Add prototypes. * mingwex/Makefile.in (MATH_OBJS): Add objects for above to list. (MATH_DISTFILES): Add sources for above and fastmath.h to list. Specify dependency on fastmath.h for new objects. * mingwex/math/fastmath.h: New file. * mingwex/math/ashinh.c: New file. * mingwex/math/asinhf.c: New file. * mingwex/math/asinhl.c: New file. * mingwex/math/acosh.c: New file. * mingwex/math/acoshf.c: New file. * mingwex/math/acoshl.c: New file. * mingwex/math/atanh.c: New file. * mingwex/math/atanhf.c: New file. * mingwex/math/atanhl.c: New file.
29 lines
647 B
C
Executable File
29 lines
647 B
C
Executable File
#include <math.h>
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#include <errno.h>
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#include "fastmath.h"
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/* asinh(x) = copysign(log(fabs(x) + sqrt(x * x + 1.0)), x) */
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double asinh(double x)
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{
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double z;
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if (!isfinite (x))
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return x;
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z = fabs (x);
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/* Avoid setting FPU underflow exception flag in x * x. */
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#if 0
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if ( z < 0x1p-32)
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return x;
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#endif
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/* Use log1p to avoid cancellation with small x. Put
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x * x in denom, so overflow is harmless.
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asinh(x) = log1p (x + sqrt (x * x + 1.0) - 1.0)
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= log1p (x + x * x / (sqrt (x * x + 1.0) + 1.0)) */
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z = __fast_log1p (z + z * z / (__fast_sqrt (z * z + 1.0) + 1.0));
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return ( x > 0.0 ? z : -z);
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}
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