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Comparing BasiliskII/src/uae_cpu/fpu/mathlib.h (file contents):
Revision 1.2 by gbeauche, 2002-09-15T18:21:13Z vs.
Revision 1.10 by gbeauche, 2008-01-01T09:40:36Z

#	Line 1 | Line 1
1		/*
2		*  fpu/mathlib.h - Floating-point math support library
3		*
4	<	*  Basilisk II (C) 1997-2001 Christian Bauer
4	>	*  Basilisk II (C) 1997-2008 Christian Bauer
5		*
6		*  MC68881/68040 fpu emulation
7		*
#	Line 103 | Line 103 | union fpu_single_shape {
103
104		/* This is the IEEE 754 single-precision format.  */
105		struct {
106	<	#if UAE_BYTE_ORDER == UAE_BIG_ENDIAN
106	>	#ifdef WORDS_BIGENDIAN
107		unsigned int negative:1;
108		unsigned int exponent:8;
109		unsigned int mantissa:23;
110	<	#endif                          /* Big endian.  */
111	<	#if UAE_BYTE_ORDER == UAE_LITTLE_ENDIAN
110	>	#else
111		unsigned int mantissa:23;
112		unsigned int exponent:8;
113		unsigned int negative:1;
114	<	#endif                          /* Little endian.  */
114	>	#endif
115		} ieee;
116
117		/* This format makes it easier to see if a NaN is a signalling NaN.  */
118		struct {
119	<	#if UAE_BYTE_ORDER == UAE_BIG_ENDIAN
119	>	#ifdef WORDS_BIGENDIAN
120		unsigned int negative:1;
121		unsigned int exponent:8;
122		unsigned int quiet_nan:1;
123		unsigned int mantissa:22;
124	<	#endif                          /* Big endian.  */
126	<	#if UAE_BYTE_ORDER == UAE_LITTLE_ENDIAN
124	>	#else
125		unsigned int mantissa:22;
126		unsigned int quiet_nan:1;
127		unsigned int exponent:8;
128		unsigned int negative:1;
129	<	#endif                          /* Little endian.  */
129	>	#endif
130		} ieee_nan;
131		};
132
#	Line 138 | Line 136 | union fpu_double_shape {
136
137		/* This is the IEEE 754 double-precision format.  */
138		struct {
139	<	#if UAE_BYTE_ORDER == UAE_BIG_ENDIAN
139	>	#ifdef WORDS_BIGENDIAN
140		unsigned int negative:1;
141		unsigned int exponent:11;
142		/* Together these comprise the mantissa.  */
143		unsigned int mantissa0:20;
144		unsigned int mantissa1:32;
145	<	#endif                          /* Big endian.  */
146	<	#if UAE_BYTE_ORDER == UAE_LITTLE_ENDIAN
149	<	#       if UAE_FLOAT_WORD_ORDER == UAE_BIG_ENDIAN
145	>	#else
146	>	#       if HOST_FLOAT_WORDS_BIG_ENDIAN
147		unsigned int mantissa0:20;
148		unsigned int exponent:11;
149		unsigned int negative:1;
#	Line 158 | Line 155 | union fpu_double_shape {
155		unsigned int exponent:11;
156		unsigned int negative:1;
157		#       endif
158	<	#endif                          /* Little endian.  */
158	>	#endif
159		} ieee;
160
161		/* This format makes it easier to see if a NaN is a signalling NaN.  */
162		struct {
163	<	#if UAE_BYTE_ORDER == UAE_BIG_ENDIAN
163	>	#ifdef WORDS_BIGENDIAN
164		unsigned int negative:1;
165		unsigned int exponent:11;
166		unsigned int quiet_nan:1;
#	Line 171 | Line 168 | union fpu_double_shape {
168		unsigned int mantissa0:19;
169		unsigned int mantissa1:32;
170		#else
171	<	# if UAE_FLOAT_WORD_ORDER == UAE_BIG_ENDIAN
171	>	#       if HOST_FLOAT_WORDS_BIG_ENDIAN
172		unsigned int mantissa0:19;
173		unsigned int quiet_nan:1;
174		unsigned int exponent:11;
#	Line 190 | Line 187 | union fpu_double_shape {
187
188		/* This format is used to extract the sign_exponent and mantissa parts only */
189		struct {
190	<	#if UAE_FLOAT_WORD_ORDER == UAE_BIG_ENDIAN
190	>	#if HOST_FLOAT_WORDS_BIG_ENDIAN
191		unsigned int msw:32;
192		unsigned int lsw:32;
193		#else
#	Line 207 | Line 204 | union fpu_extended_shape {
204
205		/* This is the IEEE 854 double-extended-precision format.  */
206		struct {
207	<	#if UAE_BYTE_ORDER == UAE_BIG_ENDIAN
207	>	#ifdef WORDS_BIGENDIAN
208		unsigned int negative:1;
209		unsigned int exponent:15;
210		unsigned int empty:16;
211		unsigned int mantissa0:32;
212		unsigned int mantissa1:32;
213	<	#endif
214	<	#if UAE_BYTE_ORDER == UAE_LITTLE_ENDIAN
218	<	#       if UAE_FLOAT_WORD_ORDER == UAE_BIG_ENDIAN
213	>	#else
214	>	#       if HOST_FLOAT_WORDS_BIG_ENDIAN
215		unsigned int exponent:15;
216		unsigned int negative:1;
217		unsigned int empty:16;
#	Line 233 | Line 229 | union fpu_extended_shape {
229
230		/* This is for NaNs in the IEEE 854 double-extended-precision format.  */
231		struct {
232	<	#if UAE_BYTE_ORDER == UAE_BIG_ENDIAN
232	>	#ifdef WORDS_BIGENDIAN
233		unsigned int negative:1;
234		unsigned int exponent:15;
235		unsigned int empty:16;
#	Line 241 | Line 237 | union fpu_extended_shape {
237		unsigned int quiet_nan:1;
238		unsigned int mantissa0:30;
239		unsigned int mantissa1:32;
240	<	#endif
241	<	#if UAE_BYTE_ORDER == UAE_LITTLE_ENDIAN
246	<	#       if UAE_FLOAT_WORD_ORDER == UAE_BIG_ENDIAN
240	>	#else
241	>	#       if HOST_FLOAT_WORDS_BIG_ENDIAN
242		unsigned int exponent:15;
243		unsigned int negative:1;
244		unsigned int empty:16;
#	Line 265 | Line 260 | union fpu_extended_shape {
260
261		/* This format is used to extract the sign_exponent and mantissa parts only */
262		struct {
263	<	#if UAE_FLOAT_WORD_ORDER == UAE_BIG_ENDIAN
263	>	#if HOST_FLOAT_WORDS_BIG_ENDIAN
264		unsigned int sign_exponent:16;
265		unsigned int empty:16;
266		unsigned int msw:32;
#	Line 287 | Line 282 | union fpu_extended_shape {
282
283		/* This is the IEEE 854 quad-precision format.  */
284		struct {
285	<	#if UAE_BYTE_ORDER == UAE_BIG_ENDIAN
285	>	#ifdef WORDS_BIGENDIAN
286		unsigned int negative:1;
287		unsigned int exponent:15;
288		unsigned int mantissa0:16;
#	Line 306 | Line 301 | union fpu_extended_shape {
301
302		/* This is for NaNs in the IEEE 854 quad-precision format.  */
303		struct {
304	<	#if UAE_BYTE_ORDER == UAE_BIG_ENDIAN
304	>	#ifdef WORDS_BIGENDIAN
305		unsigned int negative:1;
306		unsigned int exponent:15;
307		unsigned int quiet_nan:1;
#	Line 326 | Line 321 | union fpu_extended_shape {
321		} ieee_nan;
322
323		/* This format is used to extract the sign_exponent and mantissa parts only */
324	<	#if UAE_FLOAT_WORD_ORDER == UAE_BIG_ENDIAN
324	>	#if HOST_FLOAT_WORDS_BIG_ENDIAN
325		struct {
326		uae_u64 msw;
327		uae_u64 lsw;
#	Line 400 | Line 395 | PRIVATE inline bool FFPU fp_do_isnan(fpu
395		return (int)(((uae_u32)(se)) >> 16);
396		#endif
397		#else
398	<	#ifndef USE_LONG_DOUBLE
404	<	fp_declare_init_shape(sxp, r, double);
405	<	return  (sxp->ieee_nan.exponent == FP_DOUBLE_EXP_MAX)
406	<	#else
398	>	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
399		fp_declare_init_shape(sxp, r, extended);
400		return  (sxp->ieee_nan.exponent == FP_EXTENDED_EXP_MAX)
401	+	#else
402	+	fp_declare_init_shape(sxp, r, double);
403	+	return  (sxp->ieee_nan.exponent == FP_DOUBLE_EXP_MAX)
404		#endif
405		&&      (sxp->ieee_nan.mantissa0 != 0)
406		&&      (sxp->ieee_nan.mantissa1 != 0)
#	Line 459 | Line 454 | PRIVATE inline bool FFPU fp_do_isinf(fpu
454		return ~(lx >> 31) & (1 - (se >> 14));
455		#endif
456		#else
457	<	#ifndef USE_LONG_DOUBLE
463	<	fp_declare_init_shape(sxp, r, double);
464	<	return  (sxp->ieee_nan.exponent == FP_DOUBLE_EXP_MAX)
465	<	#else
457	>	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
458		fp_declare_init_shape(sxp, r, extended);
459		return  (sxp->ieee_nan.exponent == FP_EXTENDED_EXP_MAX)
460	+	#else
461	+	fp_declare_init_shape(sxp, r, double);
462	+	return  (sxp->ieee_nan.exponent == FP_DOUBLE_EXP_MAX)
463		#endif
464		&&      (sxp->ieee_nan.mantissa0 == 0)
465		&&      (sxp->ieee_nan.mantissa1 == 0)
#	Line 481 | Line 476 | PRIVATE inline bool FFPU fp_do_isinf(fpu
476
477		PRIVATE inline bool FFPU fp_do_isneg(fpu_register const & r)
478		{
479	<	#ifndef USE_LONG_DOUBLE
485	<	fp_declare_init_shape(sxp, r, double);
486	<	#else
479	>	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
480		fp_declare_init_shape(sxp, r, extended);
481	+	#else
482	+	fp_declare_init_shape(sxp, r, double);
483		#endif
484		return sxp->ieee.negative;
485		}
#	Line 495 | Line 490 | PRIVATE inline bool FFPU fp_do_isneg(fpu
490		PRIVATE inline bool FFPU fp_do_iszero(fpu_register const & r)
491		{
492		// TODO: BRANCHES_ARE_EXPENSIVE
493	<	#ifndef USE_LONG_DOUBLE
499	<	fp_declare_init_shape(sxp, r, double);
500	<	#else
493	>	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
494		fp_declare_init_shape(sxp, r, extended);
495	+	#else
496	+	fp_declare_init_shape(sxp, r, double);
497		#endif
498		return  (sxp->ieee.exponent == 0)
499		&&      (sxp->ieee.mantissa0 == 0)
#	Line 531 | Line 526 | PRIVATE inline void FFPU get_source_flag
526		PRIVATE inline void FFPU make_nan(fpu_register & r)
527		{
528		// FIXME: is that correct ?
529	<	#ifndef USE_LONG_DOUBLE
535	<	fp_declare_init_shape(sxp, r, double);
536	<	sxp->ieee.exponent      = FP_DOUBLE_EXP_MAX;
537	<	sxp->ieee.mantissa0     = 0xfffff;
538	<	#else
529	>	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
530		fp_declare_init_shape(sxp, r, extended);
531		sxp->ieee.exponent      = FP_EXTENDED_EXP_MAX;
532		sxp->ieee.mantissa0     = 0xffffffff;
533	+	#else
534	+	fp_declare_init_shape(sxp, r, double);
535	+	sxp->ieee.exponent      = FP_DOUBLE_EXP_MAX;
536	+	sxp->ieee.mantissa0     = 0xfffff;
537		#endif
538		sxp->ieee.mantissa1     = 0xffffffff;
539		#ifdef USE_QUAD_DOUBLE
#	Line 552 | Line 547 | PRIVATE inline void FFPU make_zero_posit
547		#if 1
548		r = +0.0;
549		#else
550	<	#ifndef USE_LONG_DOUBLE
556	<	fp_declare_init_shape(sxp, r, double);
557	<	#else
550	>	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
551		fp_declare_init_shape(sxp, r, extended);
552	+	#else
553	+	fp_declare_init_shape(sxp, r, double);
554		#endif
555		sxp->ieee.negative      = 0;
556		sxp->ieee.exponent      = 0;
#	Line 573 | Line 568 | PRIVATE inline void FFPU make_zero_negat
568		#if 1
569		r = -0.0;
570		#else
571	<	#ifndef USE_LONG_DOUBLE
577	<	fp_declare_init_shape(sxp, r, double);
578	<	#else
571	>	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
572		fp_declare_init_shape(sxp, r, extended);
573	+	#else
574	+	fp_declare_init_shape(sxp, r, double);
575		#endif
576		sxp->ieee.negative      = 1;
577		sxp->ieee.exponent      = 0;
#	Line 591 | Line 586 | PRIVATE inline void FFPU make_zero_negat
586
587		PRIVATE inline void FFPU make_inf_positive(fpu_register & r)
588		{
589	<	#ifndef USE_LONG_DOUBLE
595	<	fp_declare_init_shape(sxp, r, double);
596	<	sxp->ieee_nan.exponent  = FP_DOUBLE_EXP_MAX;
597	<	#else
589	>	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
590		fp_declare_init_shape(sxp, r, extended);
591		sxp->ieee_nan.exponent  = FP_EXTENDED_EXP_MAX;
592	+	#else
593	+	fp_declare_init_shape(sxp, r, double);
594	+	sxp->ieee_nan.exponent  = FP_DOUBLE_EXP_MAX;
595		#endif
596		sxp->ieee_nan.negative  = 0;
597		sxp->ieee_nan.mantissa0 = 0;
#	Line 609 | Line 604 | PRIVATE inline void FFPU make_inf_positi
604
605		PRIVATE inline void FFPU make_inf_negative(fpu_register & r)
606		{
607	<	#ifndef USE_LONG_DOUBLE
613	<	fp_declare_init_shape(sxp, r, double);
614	<	sxp->ieee_nan.exponent  = FP_DOUBLE_EXP_MAX;
615	<	#else
607	>	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
608		fp_declare_init_shape(sxp, r, extended);
609		sxp->ieee_nan.exponent  = FP_EXTENDED_EXP_MAX;
610	+	#else
611	+	fp_declare_init_shape(sxp, r, double);
612	+	sxp->ieee_nan.exponent  = FP_DOUBLE_EXP_MAX;
613		#endif
614		sxp->ieee_nan.negative  = 1;
615		sxp->ieee_nan.mantissa0 = 0;
#	Line 627 | Line 622 | PRIVATE inline void FFPU make_inf_negati
622
623		PRIVATE inline fpu_register FFPU fast_fgetexp(fpu_register const & r)
624		{
625	<	#ifndef USE_LONG_DOUBLE
631	<	fp_declare_init_shape(sxp, r, double);
632	<	return (sxp->ieee.exponent - FP_DOUBLE_EXP_BIAS);
633	<	#else
625	>	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
626		fp_declare_init_shape(sxp, r, extended);
627		return (sxp->ieee.exponent - FP_EXTENDED_EXP_BIAS);
628	+	#else
629	+	fp_declare_init_shape(sxp, r, double);
630	+	return (sxp->ieee.exponent - FP_DOUBLE_EXP_BIAS);
631		#endif
632		}
633
634		// Normalize to range 1..2
635		PRIVATE inline void FFPU fast_remove_exponent(fpu_register & r)
636		{
637	<	#ifndef USE_LONG_DOUBLE
643	<	fp_declare_init_shape(sxp, r, double);
644	<	sxp->ieee.exponent = FP_DOUBLE_EXP_BIAS;
645	<	#else
637	>	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
638		fp_declare_init_shape(sxp, r, extended);
639		sxp->ieee.exponent = FP_EXTENDED_EXP_BIAS;
640	+	#else
641	+	fp_declare_init_shape(sxp, r, double);
642	+	sxp->ieee.exponent = FP_DOUBLE_EXP_BIAS;
643		#endif
644		}
645
#	Line 652 | Line 647 | PRIVATE inline void FFPU fast_remove_exp
647		// of the source and destination operands.
648		PRIVATE inline uae_u32 FFPU get_quotient_sign(fpu_register const & ra, fpu_register const & rb)
649		{
650	<	#ifndef USE_LONG_DOUBLE
656	<	fp_declare_init_shape(sap, ra, double);
657	<	fp_declare_init_shape(sbp, rb, double);
658	<	#else
650	>	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
651		fp_declare_init_shape(sap, ra, extended);
652		fp_declare_init_shape(sbp, rb, extended);
653	+	#else
654	+	fp_declare_init_shape(sap, ra, double);
655	+	fp_declare_init_shape(sbp, rb, double);
656		#endif
657		return ((sap->ieee.negative ^ sbp->ieee.negative) ? FPSR_QUOTIENT_SIGN : 0);
658		}
#	Line 666 | Line 661 | PRIVATE inline uae_u32 FFPU get_quotient
661		/* --- Math functions                                                     --- */
662		/* -------------------------------------------------------------------------- */
663
664	<	#if FPU_USE_ISO_C99 && USE_LONG_DOUBLE
665	<	# define fp_log         logl
666	<	# define fp_log10       log10l
667	<	# define fp_exp         expl
668	<	# define fp_pow         powl
669	<	# define fp_fabs        fabsl
670	<	# define fp_sqrt        sqrtl
671	<	# define fp_sin         sinl
672	<	# define fp_cos         cosl
673	<	# define fp_tan         tanl
674	<	# define fp_sinh        sinhl
675	<	# define fp_cosh        coshl
676	<	# define fp_tanh        tanhl
677	<	# define fp_asin        asinl
678	<	# define fp_acos        acosl
679	<	# define fp_atan        atanl
680	<	# define fp_asinh       asinhl
681	<	# define fp_acosh       acoshl
682	<	# define fp_atanh       atanhl
683	<	# define fp_floor       floorl
684	<	# define fp_ceil        ceill
685	<	#else
664	>	#if FPU_USE_ISO_C99 && (USE_LONG_DOUBLE || USE_QUAD_DOUBLE)
665	>	# ifdef HAVE_LOGL
666	>	#  define fp_log        logl
667	>	# endif
668	>	# ifdef HAVE_LOG10L
669	>	#  define fp_log10      log10l
670	>	# endif
671	>	# ifdef HAVE_EXPL
672	>	#  define fp_exp        expl
673	>	# endif
674	>	# ifdef HAVE_POWL
675	>	#  define fp_pow        powl
676	>	# endif
677	>	# ifdef HAVE_FABSL
678	>	#  define fp_fabs       fabsl
679	>	# endif
680	>	# ifdef HAVE_SQRTL
681	>	#  define fp_sqrt       sqrtl
682	>	# endif
683	>	# ifdef HAVE_SINL
684	>	#  define fp_sin        sinl
685	>	# endif
686	>	# ifdef HAVE_COSL
687	>	#  define fp_cos        cosl
688	>	# endif
689	>	# ifdef HAVE_TANL
690	>	#  define fp_tan        tanl
691	>	# endif
692	>	# ifdef HAVE_SINHL
693	>	#  define fp_sinh       sinhl
694	>	# endif
695	>	# ifdef HAVE_COSHL
696	>	#  define fp_cosh       coshl
697	>	# endif
698	>	# ifdef HAVE_TANHL
699	>	#  define fp_tanh       tanhl
700	>	# endif
701	>	# ifdef HAVE_ASINL
702	>	#  define fp_asin       asinl
703	>	# endif
704	>	# ifdef HAVE_ACOSL
705	>	#  define fp_acos       acosl
706	>	# endif
707	>	# ifdef HAVE_ATANL
708	>	#  define fp_atan       atanl
709	>	# endif
710	>	# ifdef HAVE_ASINHL
711	>	#  define fp_asinh      asinhl
712	>	# endif
713	>	# ifdef HAVE_ACOSHL
714	>	#  define fp_acosh      acoshl
715	>	# endif
716	>	# ifdef HAVE_ATANHL
717	>	#  define fp_atanh      atanhl
718	>	# endif
719	>	# ifdef HAVE_FLOORL
720	>	#  define fp_floor      floorl
721	>	# endif
722	>	# ifdef HAVE_CEILL
723	>	#  define fp_ceil       ceill
724	>	# endif
725	>	#endif
726	>
727	>	#ifndef fp_log
728		# define fp_log         log
729	+	#endif
730	+	#ifndef fp_log10
731		# define fp_log10       log10
732	+	#endif
733	+	#ifndef fp_exp
734		# define fp_exp         exp
735	+	#endif
736	+	#ifndef fp_pow
737		# define fp_pow         pow
738	+	#endif
739	+	#ifndef fp_fabs
740		# define fp_fabs        fabs
741	+	#endif
742	+	#ifndef fp_sqrt
743		# define fp_sqrt        sqrt
744	+	#endif
745	+	#ifndef fp_sin
746		# define fp_sin         sin
747	+	#endif
748	+	#ifndef fp_cos
749		# define fp_cos         cos
750	+	#endif
751	+	#ifndef fp_tan
752		# define fp_tan         tan
753	+	#endif
754	+	#ifndef fp_sinh
755		# define fp_sinh        sinh
756	+	#endif
757	+	#ifndef fp_cosh
758		# define fp_cosh        cosh
759	+	#endif
760	+	#ifndef fp_tanh
761		# define fp_tanh        tanh
762	+	#endif
763	+	#ifndef fp_asin
764		# define fp_asin        asin
765	+	#endif
766	+	#ifndef fp_acos
767		# define fp_acos        acos
768	+	#endif
769	+	#ifndef fp_atan
770		# define fp_atan        atan
771	+	#endif
772	+	#ifndef fp_asinh
773		# define fp_asinh       asinh
774	+	#endif
775	+	#ifndef fp_acosh
776		# define fp_acosh       acosh
777	+	#endif
778	+	#ifndef fp_atanh
779		# define fp_atanh       atanh
780	+	#endif
781	+	#ifndef fp_floor
782		# define fp_floor       floor
783	+	#endif
784	+	#ifndef fp_ceil
785		# define fp_ceil        ceil
786		#endif
787
788	<	#if defined(FPU_IEEE) && defined(X86_ASSEMBLY)
788	>	#if defined(FPU_IEEE) && defined(USE_X87_ASSEMBLY)
789		// Assembly optimized support functions. Taken from glibc 2.2.2
790
791		#undef fp_log
#	Line 848 | Line 923 | PRIVATE inline fpu_extended fp_do_expm1(
923
924		PRIVATE inline fpu_extended fp_do_sgn1(fpu_extended x)
925		{
926	+	#if USE_LONG_DOUBLE || USE_QUAD_DOUBLE
927		fp_declare_init_shape(sxp, x, extended);
928		sxp->ieee_nan.exponent  = FP_EXTENDED_EXP_MAX;
929		sxp->ieee_nan.one               = 1;
930	+	#else
931	+	fp_declare_init_shape(sxp, x, double);
932	+	sxp->ieee_nan.exponent  = FP_DOUBLE_EXP_MAX;
933	+	#endif
934		sxp->ieee_nan.quiet_nan = 0;
935		sxp->ieee_nan.mantissa0 = 0;
936		sxp->ieee_nan.mantissa1 = 0;
#	Line 1030 | Line 1110 | DEFINE_ROUND_FUNC(zero, 0xc00)
1110
1111		DEFINE_ROUND_FUNC(nearest, 0x000)
1112
1113	<	#endif /* X86_ASSEMBLY */
1113	>	#endif /* USE_X87_ASSEMBLY */
1114
1115		#ifndef fp_round_to_minus_infinity
1116		#define fp_round_to_minus_infinity(x) fp_floor(x)

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