/* multi_arith.h: multi-precision integer arithmetic functions, needed
   to do extended-precision floating point.

   (c) 1998 David Huggins-Daines.

   Somewhat based on arch/alpha/math-emu/ieee-math.c, which is (c)
   David Mosberger-Tang.

   You may copy, modify, and redistribute this file under the terms of
   the GNU General Public License, version 2, or any later version, at
   your convenience. */

/* Note:

   These are not general multi-precision math routines.  Rather, they
   implement the subset of integer arithmetic that we need in order to
   multiply, divide, and normalize 128-bit unsigned mantissae.  */

#ifndef MULTI_ARITH_H
#define MULTI_ARITH_H

static inline void fp_denormalize(struct fp_ext *reg, unsigned int cnt)
{
        reg->exp += cnt;

        switch (cnt) {
        case 0 ... 8:
                reg->lowmant = reg->mant.m32[1] << (8 - cnt);
                reg->mant.m32[1] = (reg->mant.m32[1] >> cnt) |
                                   (reg->mant.m32[0] << (32 - cnt));
                reg->mant.m32[0] = reg->mant.m32[0] >> cnt;
                break;
        case 9 ... 32:
                reg->lowmant = reg->mant.m32[1] >> (cnt - 8);
                if (reg->mant.m32[1] << (40 - cnt))
                        reg->lowmant |= 1;
                reg->mant.m32[1] = (reg->mant.m32[1] >> cnt) |
                                   (reg->mant.m32[0] << (32 - cnt));
                reg->mant.m32[0] = reg->mant.m32[0] >> cnt;
                break;
        case 33 ... 39:
                asm volatile ("bfextu %1{%2,#8},%0" : "=d" (reg->lowmant)
                        : "m" (reg->mant.m32[0]), "d" (64 - cnt));
                if (reg->mant.m32[1] << (40 - cnt))
                        reg->lowmant |= 1;
                reg->mant.m32[1] = reg->mant.m32[0] >> (cnt - 32);
                reg->mant.m32[0] = 0;
                break;
        case 40 ... 71:
                reg->lowmant = reg->mant.m32[0] >> (cnt - 40);
                if ((reg->mant.m32[0] << (72 - cnt)) || reg->mant.m32[1])
                        reg->lowmant |= 1;
                reg->mant.m32[1] = reg->mant.m32[0] >> (cnt - 32);
                reg->mant.m32[0] = 0;
                break;
        default:
                reg->lowmant = reg->mant.m32[0] || reg->mant.m32[1];
                reg->mant.m32[0] = 0;
                reg->mant.m32[1] = 0;
                break;
        }
}

static inline int fp_overnormalize(struct fp_ext *reg)
{
        int shift;

        if (reg->mant.m32[0]) {
                asm ("bfffo %1{#0,#32},%0" : "=d" (shift) : "dm" (reg->mant.m32[0]));
                reg->mant.m32[0] = (reg->mant.m32[0] << shift) | (reg->mant.m32[1] >> (32 - shift));
                reg->mant.m32[1] = (reg->mant.m32[1] << shift);
        } else {
                asm ("bfffo %1{#0,#32},%0" : "=d" (shift) : "dm" (reg->mant.m32[1]));
                reg->mant.m32[0] = (reg->mant.m32[1] << shift);
                reg->mant.m32[1] = 0;
                shift += 32;
        }

        return shift;
}

static inline int fp_addmant(struct fp_ext *dest, struct fp_ext *src)
{
        int carry;

        /* we assume here, gcc only insert move and a clr instr */
        asm volatile ("add.b %1,%0" : "=d,g" (dest->lowmant)
                : "g,d" (src->lowmant), "0,0" (dest->lowmant));
        asm volatile ("addx.l %1,%0" : "=d" (dest->mant.m32[1])
                : "d" (src->mant.m32[1]), "0" (dest->mant.m32[1]));
        asm volatile ("addx.l %1,%0" : "=d" (dest->mant.m32[0])
                : "d" (src->mant.m32[0]), "0" (dest->mant.m32[0]));
        asm volatile ("addx.l %0,%0" : "=d" (carry) : "0" (0));

        return carry;
}

static inline int fp_addcarry(struct fp_ext *reg)
{
        if (++reg->exp == 0x7fff) {
                if (reg->mant.m64)
                        fp_set_sr(FPSR_EXC_INEX2);
                reg->mant.m64 = 0;
                fp_set_sr(FPSR_EXC_OVFL);
                return 0;
        }
        reg->lowmant = (reg->mant.m32[1] << 7) | (reg->lowmant ? 1 : 0);
        reg->mant.m32[1] = (reg->mant.m32[1] >> 1) |
                           (reg->mant.m32[0] << 31);
        reg->mant.m32[0] = (reg->mant.m32[0] >> 1) | 0x80000000;

        return 1;
}

static inline void fp_submant(struct fp_ext *dest, struct fp_ext *src1,
                              struct fp_ext *src2)
{
        /* we assume here, gcc only insert move and a clr instr */
        asm volatile ("sub.b %1,%0" : "=d,g" (dest->lowmant)
                : "g,d" (src2->lowmant), "0,0" (src1->lowmant));
        asm volatile ("subx.l %1,%0" : "=d" (dest->mant.m32[1])
                : "d" (src2->mant.m32[1]), "0" (src1->mant.m32[1]));
        asm volatile ("subx.l %1,%0" : "=d" (dest->mant.m32[0])
                : "d" (src2->mant.m32[0]), "0" (src1->mant.m32[0]));
}

#define fp_mul64(desth, destl, src1, src2) ({                           \
        asm ("mulu.l %2,%1:%0" : "=d" (destl), "=d" (desth)             \
                : "dm" (src1), "0" (src2));                             \
})
#define fp_div64(quot, rem, srch, srcl, div)                            \
        asm ("divu.l %2,%1:%0" : "=d" (quot), "=d" (rem)                \
                : "dm" (div), "1" (srch), "0" (srcl))
#define fp_add64(dest1, dest2, src1, src2) ({                           \
        asm ("add.l %1,%0" : "=d,dm" (dest2)                            \
                : "dm,d" (src2), "0,0" (dest2));                        \
        asm ("addx.l %1,%0" : "=d" (dest1)                              \
                : "d" (src1), "0" (dest1));                             \
})
#define fp_addx96(dest, src) ({                                         \
        /* we assume here, gcc only insert move and a clr instr */      \
        asm volatile ("add.l %1,%0" : "=d,g" (dest->m32[2])             \
                : "g,d" (temp.m32[1]), "0,0" (dest->m32[2]));           \
        asm volatile ("addx.l %1,%0" : "=d" (dest->m32[1])              \
                : "d" (temp.m32[0]), "0" (dest->m32[1]));               \
        asm volatile ("addx.l %1,%0" : "=d" (dest->m32[0])              \
                : "d" (0), "0" (dest->m32[0]));                         \
})
#define fp_sub64(dest, src) ({                                          \
        asm ("sub.l %1,%0" : "=d,dm" (dest.m32[1])                      \
                : "dm,d" (src.m32[1]), "0,0" (dest.m32[1]));            \
        asm ("subx.l %1,%0" : "=d" (dest.m32[0])                        \
                : "d" (src.m32[0]), "0" (dest.m32[0]));                 \
})
#define fp_sub96c(dest, srch, srcm, srcl) ({                            \
        char carry;                                                     \
        asm ("sub.l %1,%0" : "=d,dm" (dest.m32[2])                      \
                : "dm,d" (srcl), "0,0" (dest.m32[2]));                  \
        asm ("subx.l %1,%0" : "=d" (dest.m32[1])                        \
                : "d" (srcm), "0" (dest.m32[1]));                       \
        asm ("subx.l %2,%1; scs %0" : "=d" (carry), "=d" (dest.m32[0])  \
                : "d" (srch), "1" (dest.m32[0]));                       \
        carry;                                                          \
})

static inline void fp_multiplymant(union fp_mant128 *dest, struct fp_ext *src1,
                                   struct fp_ext *src2)
{
        union fp_mant64 temp;

        fp_mul64(dest->m32[0], dest->m32[1], src1->mant.m32[0], src2->mant.m32[0]);
        fp_mul64(dest->m32[2], dest->m32[3], src1->mant.m32[1], src2->mant.m32[1]);

        fp_mul64(temp.m32[0], temp.m32[1], src1->mant.m32[0], src2->mant.m32[1]);
        fp_addx96(dest, temp);

        fp_mul64(temp.m32[0], temp.m32[1], src1->mant.m32[1], src2->mant.m32[0]);
        fp_addx96(dest, temp);
}

static inline void fp_dividemant(union fp_mant128 *dest, struct fp_ext *src,
                                 struct fp_ext *div)
{
        union fp_mant128 tmp;
        union fp_mant64 tmp64;
        unsigned long *mantp = dest->m32;
        unsigned long fix, rem, first, dummy;
        int i;

        /* the algorithm below requires dest to be smaller than div,
           but both have the high bit set */
        if (src->mant.m64 >= div->mant.m64) {
                fp_sub64(src->mant, div->mant);
                *mantp = 1;
        } else
                *mantp = 0;
        mantp++;

        /* basic idea behind this algorithm: we can't divide two 64bit numbers
           (AB/CD) directly, but we can calculate AB/C0, but this means this
           quotient is off by C0/CD, so we have to multiply the first result
           to fix the result, after that we have nearly the correct result
           and only a few corrections are needed. */

        /* C0/CD can be precalculated, but it's an 64bit division again, but
           we can make it a bit easier, by dividing first through C so we get
           10/1D and now only a single shift and the value fits into 32bit. */
        fix = 0x80000000;
        dummy = div->mant.m32[1] / div->mant.m32[0] + 1;
        dummy = (dummy >> 1) | fix;
        fp_div64(fix, dummy, fix, 0, dummy);
        fix--;

        for (i = 0; i < 3; i++, mantp++) {
                if (src->mant.m32[0] == div->mant.m32[0]) {
                        fp_div64(first, rem, 0, src->mant.m32[1], div->mant.m32[0]);

                        fp_mul64(*mantp, dummy, first, fix);
                        *mantp += fix;
                } else {
                        fp_div64(first, rem, src->mant.m32[0], src->mant.m32[1], div->mant.m32[0]);

                        fp_mul64(*mantp, dummy, first, fix);
                }

                fp_mul64(tmp.m32[0], tmp.m32[1], div->mant.m32[0], first - *mantp);
                fp_add64(tmp.m32[0], tmp.m32[1], 0, rem);
                tmp.m32[2] = 0;

                fp_mul64(tmp64.m32[0], tmp64.m32[1], *mantp, div->mant.m32[1]);
                fp_sub96c(tmp, 0, tmp64.m32[0], tmp64.m32[1]);

                src->mant.m32[0] = tmp.m32[1];
                src->mant.m32[1] = tmp.m32[2];

                while (!fp_sub96c(tmp, 0, div->mant.m32[0], div->mant.m32[1])) {
                        src->mant.m32[0] = tmp.m32[1];
                        src->mant.m32[1] = tmp.m32[2];
                        *mantp += 1;
                }
        }
}

static inline void fp_putmant128(struct fp_ext *dest, union fp_mant128 *src,
                                 int shift)
{
        unsigned long tmp;

        switch (shift) {
        case 0:
                dest->mant.m64 = src->m64[0];
                dest->lowmant = src->m32[2] >> 24;
                if (src->m32[3] || (src->m32[2] << 8))
                        dest->lowmant |= 1;
                break;
        case 1:
                asm volatile ("lsl.l #1,%0"
                        : "=d" (tmp) : "0" (src->m32[2]));
                asm volatile ("roxl.l #1,%0"
                        : "=d" (dest->mant.m32[1]) : "0" (src->m32[1]));
                asm volatile ("roxl.l #1,%0"
                        : "=d" (dest->mant.m32[0]) : "0" (src->m32[0]));
                dest->lowmant = tmp >> 24;
                if (src->m32[3] || (tmp << 8))
                        dest->lowmant |= 1;
                break;
        case 31:
                asm volatile ("lsr.l #1,%1; roxr.l #1,%0"
                        : "=d" (dest->mant.m32[0])
                        : "d" (src->m32[0]), "0" (src->m32[1]));
                asm volatile ("roxr.l #1,%0"
                        : "=d" (dest->mant.m32[1]) : "0" (src->m32[2]));
                asm volatile ("roxr.l #1,%0"
                        : "=d" (tmp) : "0" (src->m32[3]));
                dest->lowmant = tmp >> 24;
                if (src->m32[3] << 7)
                        dest->lowmant |= 1;
                break;
        case 32:
                dest->mant.m32[0] = src->m32[1];
                dest->mant.m32[1] = src->m32[2];
                dest->lowmant = src->m32[3] >> 24;
                if (src->m32[3] << 8)
                        dest->lowmant |= 1;
                break;
        }
}

#endif  /* MULTI_ARITH_H */