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#include "os.h"
#include <mp.h>

/* operands need to have m->top+1 digits of space and satisfy 0 ≤ a ≤ m-1 */
static mpint*
modarg(mpint *a, mpint *m)
{
        if(a->size <= m->top || a->sign < 0 || mpmagcmp(a, m) >= 0){
                a = mpcopy(a);
                mpmod(a, m, a);
                mpbits(a, Dbits*(m->top+1));
                a->top = m->top;
        } else if(a->top < m->top){
                memset(&a->p[a->top], 0, (m->top - a->top)*Dbytes);
        }
        return a;
}

void
mpmodadd(mpint *b1, mpint *b2, mpint *m, mpint *sum)
{
        mpint *a, *b;
        mpdigit d;
        int i, j;

        a = modarg(b1, m);
        b = modarg(b2, m);

        sum->flags |= (a->flags | b->flags) & MPtimesafe;
        mpbits(sum, Dbits*2*(m->top+1));

        mpvecadd(a->p, m->top, b->p, m->top, sum->p);
        mpvecsub(sum->p, m->top+1, m->p, m->top, sum->p+m->top+1);

        d = sum->p[2*m->top+1];
        for(i = 0, j = m->top+1; i < m->top; i++, j++)
                sum->p[i] = (sum->p[i] & d) | (sum->p[j] & ~d);

        sum->top = m->top;
        sum->sign = 1;
        mpnorm(sum);

        if(a != b1)
                mpfree(a);
        if(b != b2)
                mpfree(b);
}

void
mpmodsub(mpint *b1, mpint *b2, mpint *m, mpint *diff)
{
        mpint *a, *b;
        mpdigit d;
        int i, j;

        a = modarg(b1, m);
        b = modarg(b2, m);

        diff->flags |= (a->flags | b->flags) & MPtimesafe;
        mpbits(diff, Dbits*2*(m->top+1));

        a->p[m->top] = 0;
        mpvecsub(a->p, m->top+1, b->p, m->top, diff->p);
        mpvecadd(diff->p, m->top, m->p, m->top, diff->p+m->top+1);

        d = ~diff->p[m->top];
        for(i = 0, j = m->top+1; i < m->top; i++, j++)
                diff->p[i] = (diff->p[i] & d) | (diff->p[j] & ~d);

        diff->top = m->top;
        diff->sign = 1;
        mpnorm(diff);

        if(a != b1)
                mpfree(a);
        if(b != b2)
                mpfree(b);
}

void
mpmodmul(mpint *b1, mpint *b2, mpint *m, mpint *prod)
{
        mpint *a, *b;

        a = modarg(b1, m);
        b = modarg(b2, m);

        mpmul(a, b, prod);
        mpmod(prod, m, prod);

        if(a != b1)
                mpfree(a);
        if(b != b2)
                mpfree(b);
}