2022-10-22 18:41:00 +08:00
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/*
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2023-01-14 18:28:39 +08:00
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*
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2022-10-22 18:41:00 +08:00
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* This project is meant to fill in where LibTomMath
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* falls short. That is speed ;-)
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*
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* This project is public domain and free for all purposes.
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2023-01-14 18:28:39 +08:00
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*
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2022-10-22 18:41:00 +08:00
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* Tom St Denis, tomstdenis@gmail.com
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*/
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2023-01-14 18:28:39 +08:00
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#include <tfm_private.h>
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2022-10-22 18:41:00 +08:00
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#if defined(TFM_PRESCOTT) && defined(TFM_SSE2)
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#undef TFM_SSE2
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#define TFM_X86
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#endif
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#if defined(TFM_X86)
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/* x86-32 optimized */
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#define COMBA_START
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#define CLEAR_CARRY \
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c0 = c1 = c2 = 0;
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#define COMBA_STORE(x) \
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x = c0;
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#define COMBA_STORE2(x) \
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x = c1;
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#define CARRY_FORWARD \
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do { c0 = c1; c1 = c2; c2 = 0; } while (0);
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#define COMBA_FINI
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#define SQRADD(i, j) \
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asm( \
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"movl %6,%%eax \n\t" \
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"mull %%eax \n\t" \
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"addl %%eax,%0 \n\t" \
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"adcl %%edx,%1 \n\t" \
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"adcl $0,%2 \n\t" \
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:"=r"(c0), "=r"(c1), "=r"(c2): "0"(c0), "1"(c1), "2"(c2), "m"(i) :"%eax","%edx","cc");
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#define SQRADD2(i, j) \
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asm( \
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"movl %6,%%eax \n\t" \
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"mull %7 \n\t" \
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"addl %%eax,%0 \n\t" \
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"adcl %%edx,%1 \n\t" \
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"adcl $0,%2 \n\t" \
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"addl %%eax,%0 \n\t" \
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"adcl %%edx,%1 \n\t" \
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"adcl $0,%2 \n\t" \
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:"=r"(c0), "=r"(c1), "=r"(c2): "0"(c0), "1"(c1), "2"(c2), "m"(i), "m"(j) :"%eax","%edx","cc");
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#define SQRADDSC(i, j) \
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asm( \
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2023-01-14 18:28:39 +08:00
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"movl %3,%%eax \n\t" \
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"mull %4 \n\t" \
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2022-10-22 18:41:00 +08:00
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"movl %%eax,%0 \n\t" \
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"movl %%edx,%1 \n\t" \
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"xorl %2,%2 \n\t" \
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2023-01-14 18:28:39 +08:00
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:"=r"(sc0), "=r"(sc1), "=r"(sc2): "g"(i), "g"(j) :"%eax","%edx","cc");
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2022-10-22 18:41:00 +08:00
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#define SQRADDAC(i, j) \
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asm( \
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"movl %6,%%eax \n\t" \
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"mull %7 \n\t" \
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"addl %%eax,%0 \n\t" \
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"adcl %%edx,%1 \n\t" \
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"adcl $0,%2 \n\t" \
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:"=r"(sc0), "=r"(sc1), "=r"(sc2): "0"(sc0), "1"(sc1), "2"(sc2), "g"(i), "g"(j) :"%eax","%edx","cc");
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#define SQRADDDB \
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asm( \
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"addl %6,%0 \n\t" \
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"adcl %7,%1 \n\t" \
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"adcl %8,%2 \n\t" \
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"addl %6,%0 \n\t" \
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"adcl %7,%1 \n\t" \
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"adcl %8,%2 \n\t" \
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:"=r"(c0), "=r"(c1), "=r"(c2) : "0"(c0), "1"(c1), "2"(c2), "r"(sc0), "r"(sc1), "r"(sc2) : "cc");
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#elif defined(TFM_X86_64)
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/* x86-64 optimized */
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#define COMBA_START
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#define CLEAR_CARRY \
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c0 = c1 = c2 = 0;
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#define COMBA_STORE(x) \
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x = c0;
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#define COMBA_STORE2(x) \
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x = c1;
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#define CARRY_FORWARD \
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do { c0 = c1; c1 = c2; c2 = 0; } while (0);
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#define COMBA_FINI
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#define SQRADD(i, j) \
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asm( \
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"movq %6,%%rax \n\t" \
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"mulq %%rax \n\t" \
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"addq %%rax,%0 \n\t" \
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"adcq %%rdx,%1 \n\t" \
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"adcq $0,%2 \n\t" \
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2023-01-14 18:28:39 +08:00
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:"=r"(c0), "=r"(c1), "=r"(c2): "0"(c0), "1"(c1), "2"(c2), "x"(i) :"%rax","%rdx","cc");
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2022-10-22 18:41:00 +08:00
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#define SQRADD2(i, j) \
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asm( \
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"movq %6,%%rax \n\t" \
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"mulq %7 \n\t" \
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"addq %%rax,%0 \n\t" \
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"adcq %%rdx,%1 \n\t" \
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"adcq $0,%2 \n\t" \
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"addq %%rax,%0 \n\t" \
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"adcq %%rdx,%1 \n\t" \
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"adcq $0,%2 \n\t" \
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:"=r"(c0), "=r"(c1), "=r"(c2): "0"(c0), "1"(c1), "2"(c2), "g"(i), "g"(j) :"%rax","%rdx","cc");
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#define SQRADDSC(i, j) \
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asm( \
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2023-01-14 18:28:39 +08:00
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"movq %3,%%rax \n\t" \
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"mulq %4 \n\t" \
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2022-10-22 18:41:00 +08:00
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"movq %%rax,%0 \n\t" \
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"movq %%rdx,%1 \n\t" \
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"xorq %2,%2 \n\t" \
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2023-01-14 18:28:39 +08:00
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:"=r"(sc0), "=r"(sc1), "=r"(sc2): "g"(i), "g"(j) :"%rax","%rdx","cc");
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2022-10-22 18:41:00 +08:00
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#define SQRADDAC(i, j) \
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asm( \
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"movq %6,%%rax \n\t" \
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"mulq %7 \n\t" \
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"addq %%rax,%0 \n\t" \
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"adcq %%rdx,%1 \n\t" \
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"adcq $0,%2 \n\t" \
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:"=r"(sc0), "=r"(sc1), "=r"(sc2): "0"(sc0), "1"(sc1), "2"(sc2), "g"(i), "g"(j) :"%rax","%rdx","cc");
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#define SQRADDDB \
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asm( \
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"addq %6,%0 \n\t" \
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"adcq %7,%1 \n\t" \
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"adcq %8,%2 \n\t" \
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"addq %6,%0 \n\t" \
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"adcq %7,%1 \n\t" \
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"adcq %8,%2 \n\t" \
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:"=r"(c0), "=r"(c1), "=r"(c2) : "0"(c0), "1"(c1), "2"(c2), "r"(sc0), "r"(sc1), "r"(sc2) : "cc");
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#elif defined(TFM_SSE2)
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/* SSE2 Optimized */
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#define COMBA_START
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#define CLEAR_CARRY \
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c0 = c1 = c2 = 0;
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#define COMBA_STORE(x) \
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x = c0;
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#define COMBA_STORE2(x) \
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x = c1;
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#define CARRY_FORWARD \
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do { c0 = c1; c1 = c2; c2 = 0; } while (0);
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#define COMBA_FINI \
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asm("emms");
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#define SQRADD(i, j) \
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asm( \
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"movd %6,%%mm0 \n\t" \
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"pmuludq %%mm0,%%mm0\n\t" \
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"movd %%mm0,%%eax \n\t" \
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"psrlq $32,%%mm0 \n\t" \
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"addl %%eax,%0 \n\t" \
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"movd %%mm0,%%eax \n\t" \
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"adcl %%eax,%1 \n\t" \
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"adcl $0,%2 \n\t" \
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:"=r"(c0), "=r"(c1), "=r"(c2): "0"(c0), "1"(c1), "2"(c2), "m"(i) :"%eax","cc");
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#define SQRADD2(i, j) \
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asm( \
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"movd %6,%%mm0 \n\t" \
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"movd %7,%%mm1 \n\t" \
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"pmuludq %%mm1,%%mm0\n\t" \
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"movd %%mm0,%%eax \n\t" \
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"psrlq $32,%%mm0 \n\t" \
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"movd %%mm0,%%edx \n\t" \
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"addl %%eax,%0 \n\t" \
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"adcl %%edx,%1 \n\t" \
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"adcl $0,%2 \n\t" \
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"addl %%eax,%0 \n\t" \
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"adcl %%edx,%1 \n\t" \
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"adcl $0,%2 \n\t" \
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:"=r"(c0), "=r"(c1), "=r"(c2): "0"(c0), "1"(c1), "2"(c2), "m"(i), "m"(j) :"%eax","%edx","cc");
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#define SQRADDSC(i, j) \
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asm( \
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"movd %6,%%mm0 \n\t" \
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"movd %7,%%mm1 \n\t" \
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"pmuludq %%mm1,%%mm0\n\t" \
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"movd %%mm0,%0 \n\t" \
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"psrlq $32,%%mm0 \n\t" \
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"movd %%mm0,%1 \n\t" \
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"xorl %2,%2 \n\t" \
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:"=r"(sc0), "=r"(sc1), "=r"(sc2): "0"(sc0), "1"(sc1), "2"(sc2), "m"(i), "m"(j));
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#define SQRADDAC(i, j) \
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asm( \
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"movd %6,%%mm0 \n\t" \
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"movd %7,%%mm1 \n\t" \
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"pmuludq %%mm1,%%mm0\n\t" \
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"movd %%mm0,%%eax \n\t" \
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"psrlq $32,%%mm0 \n\t" \
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"movd %%mm0,%%edx \n\t" \
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"addl %%eax,%0 \n\t" \
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"adcl %%edx,%1 \n\t" \
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"adcl $0,%2 \n\t" \
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:"=r"(sc0), "=r"(sc1), "=r"(sc2): "0"(sc0), "1"(sc1), "2"(sc2), "m"(i), "m"(j) :"%eax","%edx","cc");
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#define SQRADDDB \
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asm( \
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"addl %6,%0 \n\t" \
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"adcl %7,%1 \n\t" \
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"adcl %8,%2 \n\t" \
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"addl %6,%0 \n\t" \
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"adcl %7,%1 \n\t" \
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"adcl %8,%2 \n\t" \
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:"=r"(c0), "=r"(c1), "=r"(c2) : "0"(c0), "1"(c1), "2"(c2), "r"(sc0), "r"(sc1), "r"(sc2) : "cc");
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#elif defined(TFM_ARM)
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/* ARM code */
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#define COMBA_START
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#define CLEAR_CARRY \
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c0 = c1 = c2 = 0;
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#define COMBA_STORE(x) \
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x = c0;
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#define COMBA_STORE2(x) \
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x = c1;
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#define CARRY_FORWARD \
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do { c0 = c1; c1 = c2; c2 = 0; } while (0);
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#define COMBA_FINI
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/* multiplies point i and j, updates carry "c1" and digit c2 */
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#define SQRADD(i, j) \
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asm( \
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" UMULL r0,r1,%6,%6 \n\t" \
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" ADDS %0,%0,r0 \n\t" \
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" ADCS %1,%1,r1 \n\t" \
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" ADC %2,%2,#0 \n\t" \
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:"=r"(c0), "=r"(c1), "=r"(c2) : "0"(c0), "1"(c1), "2"(c2), "r"(i) : "r0", "r1", "cc");
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2023-01-14 18:28:39 +08:00
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2022-10-22 18:41:00 +08:00
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/* for squaring some of the terms are doubled... */
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#define SQRADD2(i, j) \
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asm( \
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" UMULL r0,r1,%6,%7 \n\t" \
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" ADDS %0,%0,r0 \n\t" \
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" ADCS %1,%1,r1 \n\t" \
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" ADC %2,%2,#0 \n\t" \
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" ADDS %0,%0,r0 \n\t" \
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" ADCS %1,%1,r1 \n\t" \
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" ADC %2,%2,#0 \n\t" \
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:"=r"(c0), "=r"(c1), "=r"(c2) : "0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j) : "r0", "r1", "cc");
|
|
|
|
|
|
|
|
|
|
#define SQRADDSC(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" UMULL %0,%1,%6,%7 \n\t" \
|
|
|
|
|
" SUB %2,%2,%2 \n\t" \
|
|
|
|
|
:"=r"(sc0), "=r"(sc1), "=r"(sc2) : "0"(sc0), "1"(sc1), "2"(sc2), "r"(i), "r"(j) : "cc");
|
|
|
|
|
|
|
|
|
|
#define SQRADDAC(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" UMULL r0,r1,%6,%7 \n\t" \
|
|
|
|
|
" ADDS %0,%0,r0 \n\t" \
|
|
|
|
|
" ADCS %1,%1,r1 \n\t" \
|
|
|
|
|
" ADC %2,%2,#0 \n\t" \
|
|
|
|
|
:"=r"(sc0), "=r"(sc1), "=r"(sc2) : "0"(sc0), "1"(sc1), "2"(sc2), "r"(i), "r"(j) : "r0", "r1", "cc");
|
|
|
|
|
|
|
|
|
|
#define SQRADDDB \
|
|
|
|
|
asm( \
|
|
|
|
|
" ADDS %0,%0,%3 \n\t" \
|
|
|
|
|
" ADCS %1,%1,%4 \n\t" \
|
|
|
|
|
" ADC %2,%2,%5 \n\t" \
|
|
|
|
|
" ADDS %0,%0,%3 \n\t" \
|
|
|
|
|
" ADCS %1,%1,%4 \n\t" \
|
|
|
|
|
" ADC %2,%2,%5 \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2) : "r"(sc0), "r"(sc1), "r"(sc2), "0"(c0), "1"(c1), "2"(c2) : "cc");
|
|
|
|
|
|
|
|
|
|
#elif defined(TFM_PPC32)
|
|
|
|
|
|
|
|
|
|
/* PPC32 */
|
|
|
|
|
|
|
|
|
|
#define COMBA_START
|
|
|
|
|
|
|
|
|
|
#define CLEAR_CARRY \
|
|
|
|
|
c0 = c1 = c2 = 0;
|
|
|
|
|
|
|
|
|
|
#define COMBA_STORE(x) \
|
|
|
|
|
x = c0;
|
|
|
|
|
|
|
|
|
|
#define COMBA_STORE2(x) \
|
|
|
|
|
x = c1;
|
|
|
|
|
|
|
|
|
|
#define CARRY_FORWARD \
|
|
|
|
|
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
|
|
|
|
|
|
|
|
|
|
#define COMBA_FINI
|
|
|
|
|
|
|
|
|
|
/* multiplies point i and j, updates carry "c1" and digit c2 */
|
|
|
|
|
#define SQRADD(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" mullw 16,%6,%6 \n\t" \
|
|
|
|
|
" addc %0,%0,16 \n\t" \
|
|
|
|
|
" mulhwu 16,%6,%6 \n\t" \
|
|
|
|
|
" adde %1,%1,16 \n\t" \
|
|
|
|
|
" addze %2,%2 \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i):"16","cc");
|
|
|
|
|
|
|
|
|
|
/* for squaring some of the terms are doubled... */
|
|
|
|
|
#define SQRADD2(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" mullw 16,%6,%7 \n\t" \
|
|
|
|
|
" mulhwu 17,%6,%7 \n\t" \
|
|
|
|
|
" addc %0,%0,16 \n\t" \
|
|
|
|
|
" adde %1,%1,17 \n\t" \
|
|
|
|
|
" addze %2,%2 \n\t" \
|
|
|
|
|
" addc %0,%0,16 \n\t" \
|
|
|
|
|
" adde %1,%1,17 \n\t" \
|
|
|
|
|
" addze %2,%2 \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j):"16", "17","cc");
|
|
|
|
|
|
|
|
|
|
#define SQRADDSC(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" mullw %0,%6,%7 \n\t" \
|
|
|
|
|
" mulhwu %1,%6,%7 \n\t" \
|
|
|
|
|
" xor %2,%2,%2 \n\t" \
|
|
|
|
|
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i),"r"(j) : "cc");
|
|
|
|
|
|
|
|
|
|
#define SQRADDAC(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" mullw 16,%6,%7 \n\t" \
|
|
|
|
|
" addc %0,%0,16 \n\t" \
|
|
|
|
|
" mulhwu 16,%6,%7 \n\t" \
|
|
|
|
|
" adde %1,%1,16 \n\t" \
|
|
|
|
|
" addze %2,%2 \n\t" \
|
|
|
|
|
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i), "r"(j):"16", "cc");
|
|
|
|
|
|
|
|
|
|
#define SQRADDDB \
|
|
|
|
|
asm( \
|
|
|
|
|
" addc %0,%0,%3 \n\t" \
|
|
|
|
|
" adde %1,%1,%4 \n\t" \
|
|
|
|
|
" adde %2,%2,%5 \n\t" \
|
|
|
|
|
" addc %0,%0,%3 \n\t" \
|
|
|
|
|
" adde %1,%1,%4 \n\t" \
|
|
|
|
|
" adde %2,%2,%5 \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2) : "r"(sc0), "r"(sc1), "r"(sc2), "0"(c0), "1"(c1), "2"(c2) : "cc");
|
|
|
|
|
|
|
|
|
|
#elif defined(TFM_PPC64)
|
|
|
|
|
/* PPC64 */
|
|
|
|
|
|
|
|
|
|
#define COMBA_START
|
|
|
|
|
|
|
|
|
|
#define CLEAR_CARRY \
|
|
|
|
|
c0 = c1 = c2 = 0;
|
|
|
|
|
|
|
|
|
|
#define COMBA_STORE(x) \
|
|
|
|
|
x = c0;
|
|
|
|
|
|
|
|
|
|
#define COMBA_STORE2(x) \
|
|
|
|
|
x = c1;
|
|
|
|
|
|
|
|
|
|
#define CARRY_FORWARD \
|
|
|
|
|
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
|
|
|
|
|
|
|
|
|
|
#define COMBA_FINI
|
|
|
|
|
|
|
|
|
|
/* multiplies point i and j, updates carry "c1" and digit c2 */
|
|
|
|
|
#define SQRADD(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" mulld r16,%6,%6 \n\t" \
|
|
|
|
|
" addc %0,%0,r16 \n\t" \
|
|
|
|
|
" mulhdu r16,%6,%6 \n\t" \
|
|
|
|
|
" adde %1,%1,r16 \n\t" \
|
|
|
|
|
" addze %2,%2 \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i):"r16","cc");
|
|
|
|
|
|
|
|
|
|
/* for squaring some of the terms are doubled... */
|
|
|
|
|
#define SQRADD2(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" mulld r16,%6,%7 \n\t" \
|
|
|
|
|
" mulhdu r17,%6,%7 \n\t" \
|
|
|
|
|
" addc %0,%0,r16 \n\t" \
|
|
|
|
|
" adde %1,%1,r17 \n\t" \
|
|
|
|
|
" addze %2,%2 \n\t" \
|
|
|
|
|
" addc %0,%0,r16 \n\t" \
|
|
|
|
|
" adde %1,%1,r17 \n\t" \
|
|
|
|
|
" addze %2,%2 \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j):"r16", "r17","cc");
|
|
|
|
|
|
|
|
|
|
#define SQRADDSC(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" mulld %0,%6,%7 \n\t" \
|
|
|
|
|
" mulhdu %1,%6,%7 \n\t" \
|
|
|
|
|
" xor %2,%2,%2 \n\t" \
|
|
|
|
|
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i),"r"(j) : "cc");
|
|
|
|
|
|
|
|
|
|
#define SQRADDAC(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" mulld r16,%6,%7 \n\t" \
|
|
|
|
|
" addc %0,%0,r16 \n\t" \
|
|
|
|
|
" mulhdu r16,%6,%7 \n\t" \
|
|
|
|
|
" adde %1,%1,r16 \n\t" \
|
|
|
|
|
" addze %2,%2 \n\t" \
|
|
|
|
|
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i), "r"(j):"r16", "cc");
|
|
|
|
|
|
|
|
|
|
#define SQRADDDB \
|
|
|
|
|
asm( \
|
|
|
|
|
" addc %0,%0,%3 \n\t" \
|
|
|
|
|
" adde %1,%1,%4 \n\t" \
|
|
|
|
|
" adde %2,%2,%5 \n\t" \
|
|
|
|
|
" addc %0,%0,%3 \n\t" \
|
|
|
|
|
" adde %1,%1,%4 \n\t" \
|
|
|
|
|
" adde %2,%2,%5 \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2) : "r"(sc0), "r"(sc1), "r"(sc2), "0"(c0), "1"(c1), "2"(c2) : "cc");
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
#elif defined(TFM_AVR32)
|
|
|
|
|
|
|
|
|
|
/* AVR32 */
|
|
|
|
|
|
|
|
|
|
#define COMBA_START
|
|
|
|
|
|
|
|
|
|
#define CLEAR_CARRY \
|
|
|
|
|
c0 = c1 = c2 = 0;
|
|
|
|
|
|
|
|
|
|
#define COMBA_STORE(x) \
|
|
|
|
|
x = c0;
|
|
|
|
|
|
|
|
|
|
#define COMBA_STORE2(x) \
|
|
|
|
|
x = c1;
|
|
|
|
|
|
|
|
|
|
#define CARRY_FORWARD \
|
|
|
|
|
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
|
|
|
|
|
|
|
|
|
|
#define COMBA_FINI
|
|
|
|
|
|
|
|
|
|
/* multiplies point i and j, updates carry "c1" and digit c2 */
|
|
|
|
|
#define SQRADD(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" mulu.d r2,%6,%6 \n\t" \
|
|
|
|
|
" add %0,%0,r2 \n\t" \
|
|
|
|
|
" adc %1,%1,r3 \n\t" \
|
|
|
|
|
" acr %2 \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i):"r2","r3");
|
|
|
|
|
|
|
|
|
|
/* for squaring some of the terms are doubled... */
|
|
|
|
|
#define SQRADD2(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" mulu.d r2,%6,%7 \n\t" \
|
|
|
|
|
" add %0,%0,r2 \n\t" \
|
|
|
|
|
" adc %1,%1,r3 \n\t" \
|
|
|
|
|
" acr %2, \n\t" \
|
|
|
|
|
" add %0,%0,r2 \n\t" \
|
|
|
|
|
" adc %1,%1,r3 \n\t" \
|
|
|
|
|
" acr %2, \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j):"r2", "r3");
|
|
|
|
|
|
|
|
|
|
#define SQRADDSC(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" mulu.d r2,%6,%7 \n\t" \
|
|
|
|
|
" mov %0,r2 \n\t" \
|
|
|
|
|
" mov %1,r3 \n\t" \
|
|
|
|
|
" eor %2,%2 \n\t" \
|
|
|
|
|
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i),"r"(j) : "r2", "r3");
|
|
|
|
|
|
|
|
|
|
#define SQRADDAC(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" mulu.d r2,%6,%7 \n\t" \
|
|
|
|
|
" add %0,%0,r2 \n\t" \
|
|
|
|
|
" adc %1,%1,r3 \n\t" \
|
|
|
|
|
" acr %2 \n\t" \
|
|
|
|
|
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i), "r"(j):"r2", "r3");
|
|
|
|
|
|
|
|
|
|
#define SQRADDDB \
|
|
|
|
|
asm( \
|
|
|
|
|
" add %0,%0,%3 \n\t" \
|
|
|
|
|
" adc %1,%1,%4 \n\t" \
|
|
|
|
|
" adc %2,%2,%5 \n\t" \
|
|
|
|
|
" add %0,%0,%3 \n\t" \
|
|
|
|
|
" adc %1,%1,%4 \n\t" \
|
|
|
|
|
" adc %2,%2,%5 \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2) : "r"(sc0), "r"(sc1), "r"(sc2), "0"(c0), "1"(c1), "2"(c2) : "cc");
|
|
|
|
|
|
|
|
|
|
#elif defined(TFM_MIPS)
|
|
|
|
|
|
|
|
|
|
/* MIPS */
|
|
|
|
|
|
|
|
|
|
#define COMBA_START
|
|
|
|
|
|
|
|
|
|
#define CLEAR_CARRY \
|
|
|
|
|
c0 = c1 = c2 = 0;
|
|
|
|
|
|
|
|
|
|
#define COMBA_STORE(x) \
|
|
|
|
|
x = c0;
|
|
|
|
|
|
|
|
|
|
#define COMBA_STORE2(x) \
|
|
|
|
|
x = c1;
|
|
|
|
|
|
|
|
|
|
#define CARRY_FORWARD \
|
|
|
|
|
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
|
|
|
|
|
|
|
|
|
|
#define COMBA_FINI
|
|
|
|
|
|
|
|
|
|
/* multiplies point i and j, updates carry "c1" and digit c2 */
|
|
|
|
|
#define SQRADD(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" multu %6,%6 \n\t" \
|
|
|
|
|
" mflo $12 \n\t" \
|
|
|
|
|
" mfhi $13 \n\t" \
|
|
|
|
|
" addu %0,%0,$12 \n\t" \
|
|
|
|
|
" sltu $12,%0,$12 \n\t" \
|
|
|
|
|
" addu %1,%1,$13 \n\t" \
|
|
|
|
|
" sltu $13,%1,$13 \n\t" \
|
|
|
|
|
" addu %1,%1,$12 \n\t" \
|
|
|
|
|
" sltu $12,%1,$12 \n\t" \
|
|
|
|
|
" addu %2,%2,$13 \n\t" \
|
|
|
|
|
" addu %2,%2,$12 \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i):"$12","$13");
|
|
|
|
|
|
|
|
|
|
/* for squaring some of the terms are doubled... */
|
|
|
|
|
#define SQRADD2(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" multu %6,%7 \n\t" \
|
|
|
|
|
" mflo $12 \n\t" \
|
|
|
|
|
" mfhi $13 \n\t" \
|
|
|
|
|
\
|
|
|
|
|
" addu %0,%0,$12 \n\t" \
|
|
|
|
|
" sltu $14,%0,$12 \n\t" \
|
|
|
|
|
" addu %1,%1,$13 \n\t" \
|
|
|
|
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" sltu $15,%1,$13 \n\t" \
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|
|
|
" addu %1,%1,$14 \n\t" \
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|
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|
|
" sltu $14,%1,$14 \n\t" \
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|
|
|
|
" addu %2,%2,$15 \n\t" \
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|
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|
" addu %2,%2,$14 \n\t" \
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\
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|
" addu %0,%0,$12 \n\t" \
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|
" sltu $14,%0,$12 \n\t" \
|
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|
|
|
" addu %1,%1,$13 \n\t" \
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|
|
|
|
" sltu $15,%1,$13 \n\t" \
|
|
|
|
|
" addu %1,%1,$14 \n\t" \
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|
|
|
|
" sltu $14,%1,$14 \n\t" \
|
|
|
|
|
" addu %2,%2,$15 \n\t" \
|
|
|
|
|
" addu %2,%2,$14 \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2):"0"(c0), "1"(c1), "2"(c2), "r"(i), "r"(j):"$12", "$13", "$14", "$15");
|
|
|
|
|
|
|
|
|
|
#define SQRADDSC(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" multu %6,%7 \n\t" \
|
|
|
|
|
" mflo %0 \n\t" \
|
|
|
|
|
" mfhi %1 \n\t" \
|
|
|
|
|
" xor %2,%2,%2 \n\t" \
|
|
|
|
|
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i),"r"(j) : "cc");
|
|
|
|
|
|
|
|
|
|
#define SQRADDAC(i, j) \
|
|
|
|
|
asm( \
|
|
|
|
|
" multu %6,%7 \n\t" \
|
|
|
|
|
" mflo $12 \n\t" \
|
|
|
|
|
" mfhi $13 \n\t" \
|
|
|
|
|
" addu %0,%0,$12 \n\t" \
|
|
|
|
|
" sltu $12,%0,$12 \n\t" \
|
|
|
|
|
" addu %1,%1,$13 \n\t" \
|
|
|
|
|
" sltu $13,%1,$13 \n\t" \
|
|
|
|
|
" addu %1,%1,$12 \n\t" \
|
|
|
|
|
" sltu $12,%1,$12 \n\t" \
|
|
|
|
|
" addu %2,%2,$13 \n\t" \
|
|
|
|
|
" addu %2,%2,$12 \n\t" \
|
|
|
|
|
:"=r"(sc0), "=r"(sc1), "=r"(sc2):"0"(sc0), "1"(sc1), "2"(sc2), "r"(i), "r"(j):"$12", "$13", "$14");
|
|
|
|
|
|
|
|
|
|
#define SQRADDDB \
|
|
|
|
|
asm( \
|
|
|
|
|
" addu %0,%0,%3 \n\t" \
|
|
|
|
|
" sltu $10,%0,%3 \n\t" \
|
|
|
|
|
" addu %1,%1,$10 \n\t" \
|
|
|
|
|
" sltu $10,%1,$10 \n\t" \
|
|
|
|
|
" addu %1,%1,%4 \n\t" \
|
|
|
|
|
" sltu $11,%1,%4 \n\t" \
|
|
|
|
|
" addu %2,%2,$10 \n\t" \
|
|
|
|
|
" addu %2,%2,$11 \n\t" \
|
|
|
|
|
" addu %2,%2,%5 \n\t" \
|
|
|
|
|
\
|
|
|
|
|
" addu %0,%0,%3 \n\t" \
|
|
|
|
|
" sltu $10,%0,%3 \n\t" \
|
|
|
|
|
" addu %1,%1,$10 \n\t" \
|
|
|
|
|
" sltu $10,%1,$10 \n\t" \
|
|
|
|
|
" addu %1,%1,%4 \n\t" \
|
|
|
|
|
" sltu $11,%1,%4 \n\t" \
|
|
|
|
|
" addu %2,%2,$10 \n\t" \
|
|
|
|
|
" addu %2,%2,$11 \n\t" \
|
|
|
|
|
" addu %2,%2,%5 \n\t" \
|
|
|
|
|
:"=r"(c0), "=r"(c1), "=r"(c2) : "r"(sc0), "r"(sc1), "r"(sc2), "0"(c0), "1"(c1), "2"(c2) : "$10", "$11");
|
|
|
|
|
|
|
|
|
|
#else
|
|
|
|
|
|
|
|
|
|
#define TFM_ISO
|
|
|
|
|
|
|
|
|
|
/* ISO C portable code */
|
|
|
|
|
|
|
|
|
|
#define COMBA_START
|
|
|
|
|
|
|
|
|
|
#define CLEAR_CARRY \
|
|
|
|
|
c0 = c1 = c2 = 0;
|
|
|
|
|
|
|
|
|
|
#define COMBA_STORE(x) \
|
|
|
|
|
x = c0;
|
|
|
|
|
|
|
|
|
|
#define COMBA_STORE2(x) \
|
|
|
|
|
x = c1;
|
|
|
|
|
|
|
|
|
|
#define CARRY_FORWARD \
|
|
|
|
|
do { c0 = c1; c1 = c2; c2 = 0; } while (0);
|
|
|
|
|
|
|
|
|
|
#define COMBA_FINI
|
|
|
|
|
|
|
|
|
|
/* multiplies point i and j, updates carry "c1" and digit c2 */
|
|
|
|
|
#define SQRADD(i, j) \
|
|
|
|
|
do { fp_word t; \
|
|
|
|
|
t = c0 + ((fp_word)i) * ((fp_word)j); c0 = t; \
|
|
|
|
|
t = c1 + (t >> DIGIT_BIT); c1 = t; c2 += t >> DIGIT_BIT; \
|
|
|
|
|
} while (0);
|
2023-01-14 18:28:39 +08:00
|
|
|
|
2022-10-22 18:41:00 +08:00
|
|
|
|
|
|
|
|
/* for squaring some of the terms are doubled... */
|
|
|
|
|
#define SQRADD2(i, j) \
|
|
|
|
|
do { fp_word t; \
|
|
|
|
|
t = ((fp_word)i) * ((fp_word)j); \
|
|
|
|
|
tt = (fp_word)c0 + t; c0 = tt; \
|
|
|
|
|
tt = (fp_word)c1 + (tt >> DIGIT_BIT); c1 = tt; c2 += tt >> DIGIT_BIT; \
|
|
|
|
|
tt = (fp_word)c0 + t; c0 = tt; \
|
|
|
|
|
tt = (fp_word)c1 + (tt >> DIGIT_BIT); c1 = tt; c2 += tt >> DIGIT_BIT; \
|
|
|
|
|
} while (0);
|
|
|
|
|
|
|
|
|
|
#define SQRADDSC(i, j) \
|
|
|
|
|
do { fp_word t; \
|
|
|
|
|
t = ((fp_word)i) * ((fp_word)j); \
|
|
|
|
|
sc0 = (fp_digit)t; sc1 = (t >> DIGIT_BIT); sc2 = 0; \
|
|
|
|
|
} while (0);
|
|
|
|
|
|
|
|
|
|
#define SQRADDAC(i, j) \
|
|
|
|
|
do { fp_word t; \
|
|
|
|
|
t = sc0 + ((fp_word)i) * ((fp_word)j); sc0 = t; \
|
|
|
|
|
t = sc1 + (t >> DIGIT_BIT); sc1 = t; sc2 += t >> DIGIT_BIT; \
|
|
|
|
|
} while (0);
|
|
|
|
|
|
|
|
|
|
#define SQRADDDB \
|
|
|
|
|
do { fp_word t; \
|
|
|
|
|
t = ((fp_word)sc0) + ((fp_word)sc0) + c0; c0 = t; \
|
|
|
|
|
t = ((fp_word)sc1) + ((fp_word)sc1) + c1 + (t >> DIGIT_BIT); c1 = t; \
|
|
|
|
|
c2 = c2 + ((fp_word)sc2) + ((fp_word)sc2) + (t >> DIGIT_BIT); \
|
|
|
|
|
} while (0);
|
|
|
|
|
|
|
|
|
|
#endif
|
|
|
|
|
|
2023-01-14 18:28:39 +08:00
|
|
|
/* $Source$ */
|
|
|
|
|
/* $Revision$ */
|
|
|
|
|
/* $Date$ */
|
