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Inline __ieee754__rem_pio2(). With gcc4-2, this gives an average
optimization of about 10% for cos(x), sin(x) and tan(x) on |x| < 2**19*pi/2. We didn't do this before because __ieee754__rem_pio2() is too large and complicated for gcc-3.3 to inline very well. We don't do this for float precision because it interferes with optimization of the usual (?) case (|x| < 9pi/4) which is manually inlined for float precision only. This has some rough edges: - some static data is duplicated unnecessarily. There isn't much after the recent move of large tables to k_rem_pio2.c, and some static data is duplicated to good affect (all the data static const, so that the compiler can evaluate expressions like 2*pio2 at compile time and generate even more static data for the constant for this). - extern inline is used (for the same reason as in previous inlining of k_cosf.c etc.), but C99 apparently doesn't allow extern inline functions with static data, and gcc will eventually warn about this. Convert to __FBSDID(). Indent __ieee754_rem_pio2()'s declaration consistently (its style was made inconsistent with fdlibm a while ago, so complete this). Fix __ieee754_rem_pio2()'s return type to match its prototype. Someone changed too many ints to int32_t's when fixing the assumption that all ints are int32_t's.
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Notes:
svn2git
2020-12-20 02:59:44 +00:00
svn path=/head/; revision=176385
@ -12,9 +12,8 @@
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*
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*/
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#ifndef lint
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static char rcsid[] = "$FreeBSD$";
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#endif
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#include <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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/* __ieee754_rem_pio2(x,y)
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*
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@ -56,7 +55,11 @@ pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */
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pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */
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pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */
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int32_t __ieee754_rem_pio2(double x, double *y)
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#ifdef INLINE_REM_PIO2
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extern inline
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#endif
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int
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__ieee754_rem_pio2(double x, double *y)
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{
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double z,w,t,r,fn;
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double tx[3];
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@ -10,9 +10,8 @@
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* ====================================================
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*/
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#ifndef lint
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static char rcsid[] = "$FreeBSD$";
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#endif
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#include <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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/* cos(x)
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* Return cosine function of x.
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@ -48,7 +47,9 @@ static char rcsid[] = "$FreeBSD$";
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#include <float.h>
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#include "math.h"
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#define INLINE_REM_PIO2
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#include "math_private.h"
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#include "e_rem_pio2.c"
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double
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cos(double x)
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@ -10,9 +10,8 @@
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* ====================================================
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*/
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#ifndef lint
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static char rcsid[] = "$FreeBSD$";
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#endif
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#include <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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/* sin(x)
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* Return sine function of x.
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@ -48,7 +47,9 @@ static char rcsid[] = "$FreeBSD$";
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#include <float.h>
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#include "math.h"
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#define INLINE_REM_PIO2
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#include "math_private.h"
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#include "e_rem_pio2.c"
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double
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sin(double x)
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@ -10,9 +10,8 @@
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* ====================================================
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*/
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#ifndef lint
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static char rcsid[] = "$FreeBSD$";
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#endif
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#include <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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/* tan(x)
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* Return tangent function of x.
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@ -47,7 +46,9 @@ static char rcsid[] = "$FreeBSD$";
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#include <float.h>
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#include "math.h"
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#define INLINE_REM_PIO2
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#include "math_private.h"
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#include "e_rem_pio2.c"
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double
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tan(double x)
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