1076 lines
32 KiB
C
1076 lines
32 KiB
C
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#include "ikarus.h"
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#include <stdlib.h>
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#include <stdio.h>
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#include <string.h>
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#include <gmp.h>
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#define most_positive_fixnum 0x1FFFFFFF
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#define most_negative_fixnum 0x20000000
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#define max_digits_per_limb 10
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ikp
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ikrt_isbignum(ikp x){
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if(tagof(x) == vector_tag){
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ikp fst = ref(x, -vector_tag);
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if (bignum_tag == (bignum_mask & (int)fst)){
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return true_object;
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}
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}
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return false_object;
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}
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ikp
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ikrt_positive_bn(ikp x){
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ikp fst = ref(x, -vector_tag);
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if((int)fst & bignum_sign_mask){
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return false_object;
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} else {
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return true_object;
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}
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}
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ikp
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ikrt_fxfxplus(ikp x, ikp y, ikpcb* pcb){
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int n1 = unfix(x);
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int n2 = unfix(y);
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int r = n1 + n2;
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ikp q = fix(r);
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if(r == unfix(q)){
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return q;
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}
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else {
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ikp bn = ik_alloc(pcb, align(disp_bignum_data + wordsize));
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if(r > 0){
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ref(bn, 0) = (ikp)(bignum_tag | (1 << bignum_length_shift));
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ref(bn, disp_bignum_data) = (ikp)r;
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}
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else {
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ref(bn, 0) =
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(ikp)(bignum_tag |
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(1 << bignum_length_shift) |
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(1 << bignum_sign_shift));
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ref(bn, disp_bignum_data) = (ikp)-r;
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}
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return bn+vector_tag;
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}
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}
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ikp
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ikrt_fxbnplus(ikp x, ikp y, ikpcb* pcb){
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if(x == 0){ return y ; }
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ikp fst = ref(y, -vector_tag);
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int limb_count = ((unsigned int) fst) >> bignum_length_shift;
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int intx = unfix(x);
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if(intx > 0){
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if((bignum_sign_mask & (int)fst) == 0){
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/* positive fx + positive bn = even bigger positive */
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ikp r = ik_alloc(pcb, align(disp_bignum_data+(limb_count+1)*wordsize));
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int carry = mpn_add_1((mp_limb_t*)(r+disp_bignum_data),
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(mp_limb_t*)(y - vector_tag + disp_bignum_data),
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limb_count,
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intx);
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if(carry){
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ref(r, disp_bignum_data + limb_count*wordsize) = (ikp)1;
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ref(r, 0) = (ikp)
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(((limb_count + 1) << bignum_length_shift) |
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(0 << bignum_sign_shift) |
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bignum_tag);
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return r+vector_tag;
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} else {
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ref(r, 0) = (ikp)
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((limb_count << bignum_length_shift) |
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(0 << bignum_sign_shift) |
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bignum_tag);
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return r+vector_tag;
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}
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}
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else {
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/* positive fx + negative bn = smaller negative bn */
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ikp r = ik_alloc(pcb, align(disp_bignum_data+limb_count*wordsize));
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int borrow = mpn_sub_1((mp_limb_t*)(r+disp_bignum_data),
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(mp_limb_t*)(y - vector_tag + disp_bignum_data),
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limb_count,
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intx);
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if(borrow){
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fprintf(stderr, "Error: BUG in borrow\n");
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exit(-1);
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}
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int result_size =
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(ref(r, disp_bignum_data + (limb_count-1)*wordsize))
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? limb_count
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: (limb_count - 1);
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if(result_size == 0){
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return 0;
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}
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if(result_size == 1){
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unsigned int last =
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(unsigned int) ref(r, disp_bignum_data + (result_size-1)*wordsize);
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if(last <= most_negative_fixnum){
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return fix(-(int)last);
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}
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}
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ref(r, 0) = (ikp)
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((result_size << bignum_length_shift) |
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(1 << bignum_sign_shift) |
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bignum_tag);
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return r+vector_tag;
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}
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}
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else {
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if((bignum_sign_mask & (int)fst) == 0){
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/* negative fx + positive bn = smaller positive */
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ikp r = ik_alloc(pcb, align(disp_bignum_data+limb_count*wordsize));
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int borrow = mpn_sub_1((mp_limb_t*)(r+disp_bignum_data),
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(mp_limb_t*)(y - vector_tag + disp_bignum_data),
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limb_count,
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- intx);
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if(borrow){
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fprintf(stderr, "Error: BUG in borrow\n");
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exit(-1);
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}
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int result_size =
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(ref(r, disp_bignum_data + (limb_count-1)*wordsize) == 0)
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? (limb_count - 1)
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: limb_count;
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if(result_size == 0){
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return 0;
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}
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if(result_size == 1){
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unsigned int last =
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(unsigned int) ref(r, disp_bignum_data + (result_size-1)*wordsize);
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if(last <= most_positive_fixnum){
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return fix((int)last);
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}
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}
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ref(r, 0) = (ikp)
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((result_size << bignum_length_shift) |
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(0 << bignum_sign_shift) |
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bignum_tag);
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return r+vector_tag;
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} else {
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/* negative fx + negative bn = larger negative */
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ikp r = ik_alloc(pcb, align(disp_bignum_data+(limb_count+1)*wordsize));
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int carry = mpn_add_1((mp_limb_t*)(r+disp_bignum_data),
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(mp_limb_t*)(y - vector_tag + disp_bignum_data),
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limb_count,
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-intx);
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if(carry){
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ref(r, disp_bignum_data + limb_count*wordsize) = (ikp)1;
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ref(r, 0) = (ikp)
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(((limb_count + 1) << bignum_length_shift) |
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(1 << bignum_sign_shift) |
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bignum_tag);
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return r+vector_tag;
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} else {
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ref(r, 0) = (ikp)
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((limb_count << bignum_length_shift) |
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(1 << bignum_sign_shift) |
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bignum_tag);
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return r+vector_tag;
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}
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}
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}
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}
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ikp
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ikrt_bnbnplus(ikp x, ikp y, ikpcb* pcb){
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unsigned int xfst = (unsigned int)ref(x, -vector_tag);
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unsigned int yfst = (unsigned int)ref(y, -vector_tag);
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int xsign = xfst & bignum_sign_mask;
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int ysign = yfst & bignum_sign_mask;
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int xlimbs = xfst >> bignum_length_shift;
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int ylimbs = yfst >> bignum_length_shift;
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if(xsign == ysign){
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int n1,n2;
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ikp s1,s2;
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if(xlimbs > ylimbs){
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n1 = xlimbs; n2 = ylimbs; s1 = x; s2 = y;
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} else {
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n1 = ylimbs; n2 = xlimbs; s1 = y; s2 = x;
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}
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ikp res = ik_alloc(pcb, align(disp_bignum_data + (n1+1)*wordsize));
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mp_limb_t carry = mpn_add((mp_limb_t*) (res+disp_bignum_data),
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(mp_limb_t*) (s1-vector_tag+disp_bignum_data),
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n1,
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(mp_limb_t*) (s2-vector_tag+disp_bignum_data),
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n2);
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if(carry){
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ref(res, disp_vector_data + xlimbs*wordsize) = (ikp)1;
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ref(res, 0) = (ikp)
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(((n1+1) << bignum_length_shift) |
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xsign |
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bignum_tag);
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return res+vector_tag;
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} else {
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ref(res, 0) = (ikp)
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((n1 << bignum_length_shift) |
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xsign |
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bignum_tag);
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return res+vector_tag;
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}
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}
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else {
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ikp s1=x, s2=y;
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int n1=xlimbs, n2=ylimbs;
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int result_sign = xsign;
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while((xlimbs == ylimbs) &&
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(ref(x, -vector_tag+disp_bignum_data+(xlimbs-1)*wordsize) ==
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ref(y, -vector_tag+disp_bignum_data+(xlimbs-1)*wordsize))){
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xlimbs -= 1;
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ylimbs -= 1;
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if(xlimbs == 0){ return 0; }
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}
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/* |x| != |y| */
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if(xlimbs <= ylimbs){
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if(xlimbs == ylimbs){
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if((ref(y, -vector_tag+disp_bignum_data+(xlimbs-1)*wordsize) >
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ref(x, -vector_tag+disp_bignum_data+(xlimbs-1)*wordsize))){
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s1 = y; n1 = ylimbs;
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s2 = x; n2 = xlimbs;
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result_sign = ysign;
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}
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} else {
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s1 = y; n1 = ylimbs;
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s2 = x; n2 = xlimbs;
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result_sign = ysign;
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}
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}
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/* |s1| > |s2| */
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ikp res = ik_alloc(pcb, align(disp_bignum_data + n1 * wordsize));
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int burrow = mpn_sub((mp_limb_t*) (res + disp_bignum_data),
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(mp_limb_t*) (s1 - vector_tag + disp_bignum_data),
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n1,
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(mp_limb_t*) (s2 - vector_tag + disp_bignum_data),
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n2);
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if(burrow){
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fprintf(stderr, "BUG: Burrow error in bnbn+\n");
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exit(-1);
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}
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int len = n1;
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while(ref(res, disp_bignum_data + (len-1)*wordsize) == 0){
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len--;
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if(len == 0){
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return 0;
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}
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}
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if(result_sign == 0){
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/* positive result */
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if(len == 1){
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unsigned int fst_limb = (unsigned int) ref(res, disp_bignum_data);
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if(fst_limb <= most_positive_fixnum){
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return fix((int)fst_limb);
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}
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}
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ref(res, 0) = (ikp)
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((len << bignum_length_shift) |
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result_sign |
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bignum_tag);
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return res+vector_tag;
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} else {
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/* negative result */
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if(len == 1){
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unsigned int fst_limb = (unsigned int) ref(res, disp_bignum_data);
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if(fst_limb <= most_negative_fixnum){
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return fix(-(int)fst_limb);
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}
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}
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ref(res, 0) = (ikp)
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((len << bignum_length_shift) |
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result_sign |
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bignum_tag);
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return res+vector_tag;
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}
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}
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}
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ikp
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ikrt_fxfxminus(ikp x, ikp y, ikpcb* pcb){
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int n1 = unfix(x);
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int n2 = unfix(y);
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int r = n1 - n2;
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if(r >= 0){
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if(((unsigned int)r) <= most_positive_fixnum){
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return fix(r);
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} else {
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ikp bn = ik_alloc(pcb, align(disp_bignum_data + wordsize));
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ref(bn, 0) = (ikp) (bignum_tag | (1 << bignum_length_shift));
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ref(bn, disp_bignum_data) = (ikp)r;
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return bn+vector_tag;
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}
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} else {
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if(((unsigned int)r) <= most_negative_fixnum){
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return fix(r);
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} else {
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ikp bn = ik_alloc(pcb, align(disp_bignum_data + wordsize));
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ref(bn, 0) = (ikp)
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(bignum_tag |
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(1 << bignum_sign_shift) |
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(1 << bignum_length_shift));
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ref(bn, disp_bignum_data) = (ikp)(-r);
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return bn+vector_tag;
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}
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}
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}
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ikp
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ikrt_bnnegate(ikp x, ikpcb* pcb){
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ikp fst = ref(x, -vector_tag);
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int limb_count = ((unsigned int) fst) >> bignum_length_shift;
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if(limb_count == 1){
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if((bignum_sign_mask & (int)fst) == 0){
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/* positive bignum */
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unsigned int limb = (unsigned int) ref(x, disp_bignum_data - vector_tag);
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if(limb == (most_positive_fixnum + 1)){
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return fix(-(int)limb);
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}
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}
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}
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ikp bn = ik_alloc(pcb, align(disp_bignum_data + limb_count * wordsize));
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memcpy(bn+disp_bignum_data,
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x-vector_tag+disp_bignum_data,
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limb_count*wordsize);
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ref(bn, 0) = (ikp)
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(bignum_tag |
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((1 << bignum_sign_shift) - (bignum_sign_mask & (int)fst)) |
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(limb_count << bignum_length_shift));
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return bn+vector_tag;
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}
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||
|
|
|
||
|
|
ikp
|
||
|
|
ikrt_fxbnminus(ikp x, ikp y, ikpcb* pcb){
|
||
|
|
if(x == 0){ return ikrt_bnnegate(y, pcb) ; }
|
||
|
|
ikp fst = ref(y, -vector_tag);
|
||
|
|
int limb_count = ((unsigned int) fst) >> bignum_length_shift;
|
||
|
|
int intx = unfix(x);
|
||
|
|
if(intx > 0){
|
||
|
|
if(bignum_sign_mask & (int)fst){
|
||
|
|
/* positive fx - negative bn = positive bn */
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data+(limb_count+1)*wordsize));
|
||
|
|
int carry = mpn_add_1((mp_limb_t*)(r+disp_bignum_data),
|
||
|
|
(mp_limb_t*)(y - vector_tag + disp_bignum_data),
|
||
|
|
limb_count,
|
||
|
|
intx);
|
||
|
|
if(carry){
|
||
|
|
ref(r, disp_bignum_data + limb_count*wordsize) = (ikp)1;
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
(((limb_count + 1) << bignum_length_shift) |
|
||
|
|
(0 << bignum_sign_shift) |
|
||
|
|
bignum_tag);
|
||
|
|
return r+vector_tag;
|
||
|
|
} else {
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
((limb_count << bignum_length_shift) |
|
||
|
|
(0 << bignum_sign_shift) |
|
||
|
|
bignum_tag);
|
||
|
|
return r+vector_tag;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
/* positive fx - positive bn = smaller negative bn/fx */
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data+limb_count*wordsize));
|
||
|
|
int borrow = mpn_sub_1((mp_limb_t*)(r+disp_bignum_data),
|
||
|
|
(mp_limb_t*)(y - vector_tag + disp_bignum_data),
|
||
|
|
limb_count,
|
||
|
|
intx);
|
||
|
|
if(borrow){
|
||
|
|
fprintf(stderr, "Error: BUG in borrow\n");
|
||
|
|
exit(-1);
|
||
|
|
}
|
||
|
|
int result_size =
|
||
|
|
(ref(r, disp_bignum_data + (limb_count-1)*wordsize))
|
||
|
|
? limb_count
|
||
|
|
: (limb_count - 1);
|
||
|
|
if(result_size == 0){
|
||
|
|
return 0;
|
||
|
|
}
|
||
|
|
if(result_size == 1){
|
||
|
|
unsigned int last =
|
||
|
|
(unsigned int) ref(r, disp_bignum_data + (result_size-1)*wordsize);
|
||
|
|
if(last <= most_negative_fixnum){
|
||
|
|
return fix(-(int)last);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
((result_size << bignum_length_shift) |
|
||
|
|
(1 << bignum_sign_shift) |
|
||
|
|
bignum_tag);
|
||
|
|
return r+vector_tag;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
if(bignum_sign_mask & (int)fst){
|
||
|
|
/* negative fx - negative bn = smaller positive */
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data+limb_count*wordsize));
|
||
|
|
int borrow = mpn_sub_1((mp_limb_t*)(r+disp_bignum_data),
|
||
|
|
(mp_limb_t*)(y - vector_tag + disp_bignum_data),
|
||
|
|
limb_count,
|
||
|
|
- intx);
|
||
|
|
if(borrow){
|
||
|
|
fprintf(stderr, "Error: BUG in borrow\n");
|
||
|
|
exit(-1);
|
||
|
|
}
|
||
|
|
int result_size =
|
||
|
|
(ref(r, disp_bignum_data + (limb_count-1)*wordsize) == 0)
|
||
|
|
? (limb_count - 1)
|
||
|
|
: limb_count;
|
||
|
|
if(result_size == 0){
|
||
|
|
return 0;
|
||
|
|
}
|
||
|
|
if(result_size == 1){
|
||
|
|
unsigned int last =
|
||
|
|
(unsigned int) ref(r, disp_bignum_data + (result_size-1)*wordsize);
|
||
|
|
if(last <= most_positive_fixnum){
|
||
|
|
return fix((int)last);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
((result_size << bignum_length_shift) |
|
||
|
|
(0 << bignum_sign_shift) |
|
||
|
|
bignum_tag);
|
||
|
|
return r+vector_tag;
|
||
|
|
} else {
|
||
|
|
/* negative fx - positive bn = larger negative */
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data+(limb_count+1)*wordsize));
|
||
|
|
int carry = mpn_add_1((mp_limb_t*)(r+disp_bignum_data),
|
||
|
|
(mp_limb_t*)(y - vector_tag + disp_bignum_data),
|
||
|
|
limb_count,
|
||
|
|
-intx);
|
||
|
|
if(carry){
|
||
|
|
ref(r, disp_bignum_data + limb_count*wordsize) = (ikp)1;
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
(((limb_count + 1) << bignum_length_shift) |
|
||
|
|
(1 << bignum_sign_shift) |
|
||
|
|
bignum_tag);
|
||
|
|
return r+vector_tag;
|
||
|
|
} else {
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
((limb_count << bignum_length_shift) |
|
||
|
|
(1 << bignum_sign_shift) |
|
||
|
|
bignum_tag);
|
||
|
|
return r+vector_tag;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
ikp
|
||
|
|
ikrt_bnfxminus(ikp x, ikp y, ikpcb* pcb){
|
||
|
|
if(y == 0){ return x; }
|
||
|
|
ikp fst = ref(x, -vector_tag);
|
||
|
|
int limb_count = ((unsigned int) fst) >> bignum_length_shift;
|
||
|
|
int inty = unfix(y);
|
||
|
|
if(inty < 0){
|
||
|
|
if((bignum_sign_mask & (int)fst) == 0){
|
||
|
|
/* - negative fx + positive bn = positive bn */
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data+(limb_count+1)*wordsize));
|
||
|
|
int carry = mpn_add_1((mp_limb_t*)(r+disp_bignum_data),
|
||
|
|
(mp_limb_t*)(x - vector_tag + disp_bignum_data),
|
||
|
|
limb_count,
|
||
|
|
-inty);
|
||
|
|
if(carry){
|
||
|
|
ref(r, disp_bignum_data + limb_count*wordsize) = (ikp)1;
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
(((limb_count + 1) << bignum_length_shift) |
|
||
|
|
(0 << bignum_sign_shift) |
|
||
|
|
bignum_tag);
|
||
|
|
return r+vector_tag;
|
||
|
|
} else {
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
((limb_count << bignum_length_shift) |
|
||
|
|
(0 << bignum_sign_shift) |
|
||
|
|
bignum_tag);
|
||
|
|
return r+vector_tag;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
/* - negative fx + negative bn = smaller negative bn/fx */
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data+limb_count*wordsize));
|
||
|
|
int borrow = mpn_sub_1((mp_limb_t*)(r+disp_bignum_data),
|
||
|
|
(mp_limb_t*)(x - vector_tag + disp_bignum_data),
|
||
|
|
limb_count,
|
||
|
|
-inty);
|
||
|
|
if(borrow){
|
||
|
|
fprintf(stderr, "Error: BUG in borrow\n");
|
||
|
|
exit(-1);
|
||
|
|
}
|
||
|
|
int result_size =
|
||
|
|
(ref(r, disp_bignum_data + (limb_count-1)*wordsize))
|
||
|
|
? limb_count
|
||
|
|
: (limb_count - 1);
|
||
|
|
if(result_size == 0){
|
||
|
|
return 0;
|
||
|
|
}
|
||
|
|
if(result_size == 1){
|
||
|
|
unsigned int last =
|
||
|
|
(unsigned int) ref(r, disp_bignum_data + (result_size-1)*wordsize);
|
||
|
|
if(last <= most_negative_fixnum){
|
||
|
|
return fix(-(int)last);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
((result_size << bignum_length_shift) |
|
||
|
|
(1 << bignum_sign_shift) |
|
||
|
|
bignum_tag);
|
||
|
|
return r+vector_tag;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
if((bignum_sign_mask & (int)fst) == 0){
|
||
|
|
/* - positive fx + positive bn = smaller positive */
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data+limb_count*wordsize));
|
||
|
|
int borrow = mpn_sub_1((mp_limb_t*)(r+disp_bignum_data),
|
||
|
|
(mp_limb_t*)(x - vector_tag + disp_bignum_data),
|
||
|
|
limb_count,
|
||
|
|
inty);
|
||
|
|
if(borrow){
|
||
|
|
fprintf(stderr, "Error: BUG in borrow\n");
|
||
|
|
exit(-1);
|
||
|
|
}
|
||
|
|
int result_size =
|
||
|
|
(ref(r, disp_bignum_data + (limb_count-1)*wordsize) == 0)
|
||
|
|
? (limb_count - 1)
|
||
|
|
: limb_count;
|
||
|
|
if(result_size == 0){
|
||
|
|
return 0;
|
||
|
|
}
|
||
|
|
if(result_size == 1){
|
||
|
|
unsigned int last =
|
||
|
|
(unsigned int) ref(r, disp_bignum_data + (result_size-1)*wordsize);
|
||
|
|
if(last <= most_positive_fixnum){
|
||
|
|
return fix((int)last);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
((result_size << bignum_length_shift) |
|
||
|
|
(0 << bignum_sign_shift) |
|
||
|
|
bignum_tag);
|
||
|
|
return r+vector_tag;
|
||
|
|
} else {
|
||
|
|
/* - positive fx + negative bn = larger negative */
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data+(limb_count+1)*wordsize));
|
||
|
|
int carry = mpn_add_1((mp_limb_t*)(r+disp_bignum_data),
|
||
|
|
(mp_limb_t*)(x - vector_tag + disp_bignum_data),
|
||
|
|
limb_count,
|
||
|
|
inty);
|
||
|
|
if(carry){
|
||
|
|
ref(r, disp_bignum_data + limb_count*wordsize) = (ikp)1;
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
(((limb_count + 1) << bignum_length_shift) |
|
||
|
|
(1 << bignum_sign_shift) |
|
||
|
|
bignum_tag);
|
||
|
|
return r+vector_tag;
|
||
|
|
} else {
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
((limb_count << bignum_length_shift) |
|
||
|
|
(1 << bignum_sign_shift) |
|
||
|
|
bignum_tag);
|
||
|
|
return r+vector_tag;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
ikp
|
||
|
|
ikrt_bnbnminus(ikp x, ikp y, ikpcb* pcb){
|
||
|
|
if(x == y) { return 0; }
|
||
|
|
unsigned int xfst = (unsigned int)ref(x, -vector_tag);
|
||
|
|
unsigned int yfst = (unsigned int)ref(y, -vector_tag);
|
||
|
|
int xsign = xfst & bignum_sign_mask;
|
||
|
|
int ysign = yfst & bignum_sign_mask;
|
||
|
|
int xlimbs = xfst >> bignum_length_shift;
|
||
|
|
int ylimbs = yfst >> bignum_length_shift;
|
||
|
|
if(xsign != ysign){
|
||
|
|
int n1,n2;
|
||
|
|
ikp s1,s2;
|
||
|
|
if(xlimbs >= ylimbs){
|
||
|
|
n1 = xlimbs; n2 = ylimbs; s1 = x; s2 = y;
|
||
|
|
} else {
|
||
|
|
n1 = ylimbs; n2 = xlimbs; s1 = y; s2 = x;
|
||
|
|
}
|
||
|
|
ikp res = ik_alloc(pcb, align(disp_bignum_data + (n1+1)*wordsize));
|
||
|
|
mp_limb_t carry = mpn_add((mp_limb_t*) (res+disp_bignum_data),
|
||
|
|
(mp_limb_t*) (s1-vector_tag+disp_bignum_data),
|
||
|
|
n1,
|
||
|
|
(mp_limb_t*) (s2-vector_tag+disp_bignum_data),
|
||
|
|
n2);
|
||
|
|
if(carry){
|
||
|
|
ref(res, disp_vector_data + xlimbs*wordsize) = (ikp)1;
|
||
|
|
ref(res, 0) = (ikp)
|
||
|
|
(((n1+1) << bignum_length_shift) |
|
||
|
|
xsign |
|
||
|
|
bignum_tag);
|
||
|
|
return res+vector_tag;
|
||
|
|
} else {
|
||
|
|
ref(res, 0) = (ikp)
|
||
|
|
((n1 << bignum_length_shift) |
|
||
|
|
xsign |
|
||
|
|
bignum_tag);
|
||
|
|
return res+vector_tag;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
/* same sign */
|
||
|
|
if(xlimbs == ylimbs){
|
||
|
|
while((ref(x, -vector_tag+disp_bignum_data+(xlimbs-1)*wordsize) ==
|
||
|
|
ref(y, -vector_tag+disp_bignum_data+(xlimbs-1)*wordsize))){
|
||
|
|
xlimbs -= 1;
|
||
|
|
if(xlimbs == 0){ return 0; }
|
||
|
|
}
|
||
|
|
ylimbs = xlimbs;
|
||
|
|
}
|
||
|
|
ikp s1=x, s2=y;
|
||
|
|
int n1=xlimbs, n2=ylimbs;
|
||
|
|
int result_sign = xsign;
|
||
|
|
/* |x| != |y| */
|
||
|
|
if(xlimbs <= ylimbs){
|
||
|
|
if(xlimbs == ylimbs){
|
||
|
|
if((ref(y, -vector_tag+disp_bignum_data+(xlimbs-1)*wordsize) >
|
||
|
|
ref(x, -vector_tag+disp_bignum_data+(xlimbs-1)*wordsize))){
|
||
|
|
s1 = y; n1 = ylimbs;
|
||
|
|
s2 = x; n2 = xlimbs;
|
||
|
|
result_sign = (1 << bignum_length_shift) - ysign;
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
s1 = y; n1 = ylimbs;
|
||
|
|
s2 = x; n2 = xlimbs;
|
||
|
|
result_sign = (1 << bignum_length_shift) - ysign;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
/* |s1| > |s2| */
|
||
|
|
ikp res = ik_alloc(pcb, align(disp_bignum_data + n1 * wordsize));
|
||
|
|
int burrow = mpn_sub((mp_limb_t*) (res + disp_bignum_data),
|
||
|
|
(mp_limb_t*) (s1 - vector_tag + disp_bignum_data),
|
||
|
|
n1,
|
||
|
|
(mp_limb_t*) (s2 - vector_tag + disp_bignum_data),
|
||
|
|
n2);
|
||
|
|
if(burrow){
|
||
|
|
fprintf(stderr, "BUG: Burrow error in bnbn-\n");
|
||
|
|
exit(-1);
|
||
|
|
}
|
||
|
|
int len = n1;
|
||
|
|
while(ref(res, disp_bignum_data + (len-1)*wordsize) == 0){
|
||
|
|
len--;
|
||
|
|
if(len == 0){
|
||
|
|
return 0;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if(result_sign == 0){
|
||
|
|
/* positive result */
|
||
|
|
if(len == 1){
|
||
|
|
unsigned int fst_limb = (unsigned int) ref(res, disp_bignum_data);
|
||
|
|
if(fst_limb <= most_positive_fixnum){
|
||
|
|
return fix((int)fst_limb);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
ref(res, 0) = (ikp)
|
||
|
|
((len << bignum_length_shift) |
|
||
|
|
result_sign |
|
||
|
|
bignum_tag);
|
||
|
|
return res+vector_tag;
|
||
|
|
} else {
|
||
|
|
/* negative result */
|
||
|
|
if(len == 1){
|
||
|
|
unsigned int fst_limb = (unsigned int) ref(res, disp_bignum_data);
|
||
|
|
if(fst_limb <= most_negative_fixnum){
|
||
|
|
return fix(-(int)fst_limb);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
ref(res, 0) = (ikp)
|
||
|
|
((len << bignum_length_shift) |
|
||
|
|
result_sign |
|
||
|
|
bignum_tag);
|
||
|
|
return res+vector_tag;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
ikp
|
||
|
|
ikrt_fxfxmult(ikp x, ikp y, ikpcb* pcb){
|
||
|
|
int n1 = unfix(x);
|
||
|
|
int n2 = unfix(y);
|
||
|
|
mp_limb_t lo = 0;
|
||
|
|
mp_limb_t s1 = n1;
|
||
|
|
mp_limb_t s2 = n2;
|
||
|
|
int sign = 0;
|
||
|
|
if(n1 < 0){
|
||
|
|
s1 = -n1;
|
||
|
|
sign = 1 - sign;
|
||
|
|
}
|
||
|
|
if(n2 < 0){
|
||
|
|
s2 = -n2;
|
||
|
|
sign = 1 - sign;
|
||
|
|
}
|
||
|
|
mp_limb_t hi = mpn_mul_1(&lo, &s1, 1, s2);
|
||
|
|
if(hi == 0){
|
||
|
|
if(sign){
|
||
|
|
if(lo <= most_negative_fixnum){
|
||
|
|
return fix(-((int)lo));
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
if(lo <= most_positive_fixnum){
|
||
|
|
return fix((int)lo);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
ikp r = ik_alloc(pcb, disp_bignum_data + wordsize);
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
(bignum_tag |
|
||
|
|
(sign << bignum_sign_shift) |
|
||
|
|
(1 << bignum_length_shift));
|
||
|
|
ref(r, disp_bignum_data) = (ikp)lo;
|
||
|
|
return r+vector_tag;
|
||
|
|
} else {
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data + 2*wordsize));
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
(bignum_tag |
|
||
|
|
(sign << bignum_sign_shift) |
|
||
|
|
(2 << bignum_length_shift));
|
||
|
|
ref(r, disp_bignum_data) = (ikp)lo;
|
||
|
|
ref(r, disp_bignum_data+wordsize) = (ikp)hi;
|
||
|
|
return r+vector_tag;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
ikp
|
||
|
|
normalize_bignum(int limbs, int sign, ikp r){
|
||
|
|
while(ref(r, disp_bignum_data + (limbs-1)*wordsize) == 0){
|
||
|
|
limbs--;
|
||
|
|
if(limbs == 0){ return 0;}
|
||
|
|
}
|
||
|
|
if(limbs == 1){
|
||
|
|
unsigned int last = (unsigned int) ref(r, disp_bignum_data);
|
||
|
|
if(sign == 0){
|
||
|
|
if(last <= most_positive_fixnum){
|
||
|
|
return fix((int)last);
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
if(last <= most_negative_fixnum){
|
||
|
|
return fix(-((int)last));
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
ref(r, 0) = (ikp)
|
||
|
|
(bignum_tag |
|
||
|
|
sign |
|
||
|
|
(limbs << bignum_length_shift));
|
||
|
|
return r+vector_tag;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
ikp
|
||
|
|
ikrt_fxbnmult(ikp x, ikp y, ikpcb* pcb){
|
||
|
|
int n2 = unfix(x);
|
||
|
|
if(n2 == 0) { return 0; }
|
||
|
|
mp_limb_t s2 = (n2>0) ? n2 : (- n2);
|
||
|
|
ikp fst = ref(y, -vector_tag);
|
||
|
|
int limb_count = ((unsigned int) fst) >> bignum_length_shift;
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data + (limb_count+1)*wordsize));
|
||
|
|
mp_limb_t hi = mpn_mul_1((mp_limb_t*)(r+disp_bignum_data),
|
||
|
|
(mp_limb_t*)(y-vector_tag+disp_bignum_data),
|
||
|
|
limb_count,
|
||
|
|
s2);
|
||
|
|
ref(r, disp_bignum_data + limb_count * wordsize) = (ikp)hi;
|
||
|
|
int sign =
|
||
|
|
((n2 > 0) ?
|
||
|
|
(bignum_sign_mask & (int)fst) :
|
||
|
|
((1 << bignum_sign_shift) - (bignum_sign_mask&(int)fst)));
|
||
|
|
return normalize_bignum(limb_count+1, sign, r);
|
||
|
|
}
|
||
|
|
|
||
|
|
ikp
|
||
|
|
ikrt_bnbnmult(ikp x, ikp y, ikpcb* pcb){
|
||
|
|
int f1 = (int)ref(x, -vector_tag);
|
||
|
|
int f2 = (int)ref(y, -vector_tag);
|
||
|
|
int n1 = ((unsigned int)f1) >> bignum_length_shift;
|
||
|
|
int n2 = ((unsigned int)f2) >> bignum_length_shift;
|
||
|
|
int nr = n1 + n2;
|
||
|
|
ikp bn = ik_alloc(pcb, align(disp_bignum_data + nr*wordsize));
|
||
|
|
mp_limb_t r;
|
||
|
|
if(n1 >= n2){
|
||
|
|
r = mpn_mul((mp_limb_t*)(bn+disp_bignum_data),
|
||
|
|
(mp_limb_t*)(x-vector_tag+disp_bignum_data),
|
||
|
|
n1,
|
||
|
|
(mp_limb_t*)(y-vector_tag+disp_bignum_data),
|
||
|
|
n2);
|
||
|
|
} else {
|
||
|
|
r = mpn_mul((mp_limb_t*)(bn+disp_bignum_data),
|
||
|
|
(mp_limb_t*)(y-vector_tag+disp_bignum_data),
|
||
|
|
n2,
|
||
|
|
(mp_limb_t*)(x-vector_tag+disp_bignum_data),
|
||
|
|
n1);
|
||
|
|
}
|
||
|
|
int sign =
|
||
|
|
((bignum_sign_mask & f1) ?
|
||
|
|
((1 << bignum_sign_shift) - (bignum_sign_mask & f2)) :
|
||
|
|
(bignum_sign_mask & f2));
|
||
|
|
return normalize_bignum(nr, sign, bn);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
ikp
|
||
|
|
ikrt_bnbncomp(ikp bn1, ikp bn2){
|
||
|
|
ikp f1 = ref(bn1, -vector_tag);
|
||
|
|
ikp f2 = ref(bn2, -vector_tag);
|
||
|
|
if(bignum_sign_mask & (int)f1){
|
||
|
|
if(bignum_sign_mask & (int)f2){
|
||
|
|
/* both negative */
|
||
|
|
int n1 = ((unsigned int) f1) >> bignum_length_shift;
|
||
|
|
int n2 = ((unsigned int) f2) >> bignum_length_shift;
|
||
|
|
if(n1 < n2) {
|
||
|
|
return fix(1);
|
||
|
|
} else if(n1 > n2){
|
||
|
|
return fix(-1);
|
||
|
|
} else {
|
||
|
|
int i;
|
||
|
|
for(i=(n1-1); i>=0; i--){
|
||
|
|
unsigned int t1 =
|
||
|
|
(unsigned int) ref(bn1,disp_bignum_data-vector_tag+i*wordsize);
|
||
|
|
unsigned int t2 =
|
||
|
|
(unsigned int) ref(bn2,disp_bignum_data-vector_tag+i*wordsize);
|
||
|
|
if(t1 < t2){
|
||
|
|
return fix(1);
|
||
|
|
} else if(t1 > t2){
|
||
|
|
return fix(-1);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return 0;
|
||
|
|
} else {
|
||
|
|
/* n1 negative, n2 positive */
|
||
|
|
return fix(-1);
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
if(bignum_sign_mask & (int)f2){
|
||
|
|
/* n1 positive, n2 negative */
|
||
|
|
return fix(1);
|
||
|
|
} else {
|
||
|
|
/* both positive */
|
||
|
|
int n1 = ((unsigned int) f1) >> bignum_length_shift;
|
||
|
|
int n2 = ((unsigned int) f2) >> bignum_length_shift;
|
||
|
|
if(n1 < n2) {
|
||
|
|
return fix(-1);
|
||
|
|
} else if(n1 > n2){
|
||
|
|
return fix(1);
|
||
|
|
} else {
|
||
|
|
int i;
|
||
|
|
for(i=(n1-1); i>=0; i--){
|
||
|
|
unsigned int t1 =
|
||
|
|
(unsigned int) ref(bn1,disp_bignum_data-vector_tag+i*wordsize);
|
||
|
|
unsigned int t2 =
|
||
|
|
(unsigned int) ref(bn2,disp_bignum_data-vector_tag+i*wordsize);
|
||
|
|
if(t1 < t2){
|
||
|
|
return fix(-1);
|
||
|
|
} else if(t1 > t2){
|
||
|
|
return fix(1);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return 0;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
ikp
|
||
|
|
ikrt_fxbnlogand(ikp x, ikp y, ikpcb* pcb){
|
||
|
|
int n1 = unfix(x);
|
||
|
|
ikp fst = ref(y, -vector_tag);
|
||
|
|
if(n1 >= 0){
|
||
|
|
if(bignum_sign_mask & (unsigned int) fst){
|
||
|
|
/* y is negative */
|
||
|
|
return fix(n1 & (1+~(int)ref(y, disp_vector_data-vector_tag)));
|
||
|
|
} else {
|
||
|
|
/* y is positive */
|
||
|
|
return fix(n1 & (int)ref(y, disp_vector_data-vector_tag));
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
if(n1 == -1){ return y; }
|
||
|
|
if(bignum_sign_mask & (unsigned int) fst){
|
||
|
|
/* y is negative */
|
||
|
|
int len = (((unsigned int) fst) >> bignum_length_shift);
|
||
|
|
unsigned int nn =
|
||
|
|
(1+~((1+~(int)ref(y, disp_bignum_data - vector_tag)) & n1));
|
||
|
|
if((len == 1) && (nn <= most_negative_fixnum)){
|
||
|
|
return fix(-nn);
|
||
|
|
}
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data + len * wordsize));
|
||
|
|
ref(r, 0) = fst;
|
||
|
|
ref(r, disp_bignum_data) = (ikp) nn;
|
||
|
|
int i;
|
||
|
|
for(i=1; i<len; i++){
|
||
|
|
ref(r, disp_bignum_data+i*wordsize) =
|
||
|
|
ref(y, disp_bignum_data-vector_tag+i*wordsize);
|
||
|
|
}
|
||
|
|
return r+vector_tag;
|
||
|
|
} else {
|
||
|
|
/* y is positive */
|
||
|
|
int len = (((unsigned int) fst) >> bignum_length_shift);
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data + len * wordsize));
|
||
|
|
ref(r, 0) = fst;
|
||
|
|
ref(r, disp_bignum_data) = (ikp)
|
||
|
|
(((int)ref(y, disp_bignum_data - vector_tag)) & n1);
|
||
|
|
int i;
|
||
|
|
for(i=1; i<len; i++){
|
||
|
|
ref(r, disp_bignum_data+i*wordsize) =
|
||
|
|
ref(y, disp_bignum_data-vector_tag+i*wordsize);
|
||
|
|
}
|
||
|
|
return r+vector_tag;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
static inline int
|
||
|
|
count_leading_ffs(int n, unsigned int* x){
|
||
|
|
int idx;
|
||
|
|
for(idx=0; idx<n; idx++){
|
||
|
|
if(x[idx] != -1){
|
||
|
|
return idx;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return n;
|
||
|
|
}
|
||
|
|
|
||
|
|
ikp
|
||
|
|
ikrt_bnbnlogand(ikp x, ikp y, ikpcb* pcb){
|
||
|
|
ikp xfst = ref(x, -vector_tag);
|
||
|
|
ikp yfst = ref(y, -vector_tag);
|
||
|
|
int n1 = ((unsigned int) xfst) >> bignum_length_shift;
|
||
|
|
int n2 = ((unsigned int) yfst) >> bignum_length_shift;
|
||
|
|
if(bignum_sign_mask & (unsigned int) xfst){
|
||
|
|
if(bignum_sign_mask & (unsigned int) yfst){
|
||
|
|
fprintf(stderr, "not yet for bnbnlogand\n");
|
||
|
|
exit(-1);
|
||
|
|
} else {
|
||
|
|
return ikrt_bnbnlogand(y,x,pcb);
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
if(bignum_sign_mask & (unsigned int) yfst){
|
||
|
|
/* x positive, y negative */
|
||
|
|
/* the result is at most n1 words long */
|
||
|
|
unsigned int* s1 = ((unsigned int*)(x+disp_bignum_data-vector_tag));
|
||
|
|
unsigned int* s2 = ((unsigned int*)(y+disp_bignum_data-vector_tag));
|
||
|
|
if(n1 <= n2){
|
||
|
|
int i = n1-1;
|
||
|
|
while(i >= 0){
|
||
|
|
unsigned int t = s1[i] & (1+~s2[i]);
|
||
|
|
if(t != 0){
|
||
|
|
if((i == 0) && (t <= most_positive_fixnum)){
|
||
|
|
return fix(t);
|
||
|
|
}
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data+(i+1)*wordsize));
|
||
|
|
ref(r, 0) = (ikp) (bignum_tag | ((i+1) << bignum_length_shift));
|
||
|
|
unsigned int* s = (unsigned int*)(r+disp_bignum_data);
|
||
|
|
s[i] = t;
|
||
|
|
for(i--; i>=0; i--){
|
||
|
|
s[i] = s1[i] & (1+~s2[i]);
|
||
|
|
}
|
||
|
|
return r+vector_tag;
|
||
|
|
} else {
|
||
|
|
i--;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return 0;
|
||
|
|
} else {
|
||
|
|
fprintf(stderr, "not yet for bnbnlogand\n");
|
||
|
|
exit(-1);
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
/* both positive */
|
||
|
|
int n = (n1<n2)?n1:n2;
|
||
|
|
int i;
|
||
|
|
for(i=n-1; i>=0; i--){
|
||
|
|
int l1 =
|
||
|
|
(int) ref(x, disp_bignum_data-vector_tag+i*wordsize);
|
||
|
|
int l2 =
|
||
|
|
(int) ref(y, disp_bignum_data-vector_tag+i*wordsize);
|
||
|
|
int last = l1 & l2;
|
||
|
|
if(last){
|
||
|
|
if((i == 0) && (last < most_positive_fixnum)){
|
||
|
|
return fix(last);
|
||
|
|
}
|
||
|
|
ikp r = ik_alloc(pcb, align(disp_bignum_data+(i+1)*wordsize));
|
||
|
|
ref(r, 0) = (ikp) (bignum_tag | ((i+1)<<bignum_length_shift));
|
||
|
|
ref(r, disp_bignum_data + i*wordsize) = (ikp)last;
|
||
|
|
int j;
|
||
|
|
for(j=0; j<i; j++){
|
||
|
|
ref(r, disp_bignum_data + j*wordsize) = (ikp)
|
||
|
|
(((int)ref(x, disp_bignum_data-vector_tag+j*wordsize))
|
||
|
|
&
|
||
|
|
((int)ref(y, disp_bignum_data-vector_tag+j*wordsize)));
|
||
|
|
}
|
||
|
|
return r+vector_tag;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return 0;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
ikp
|
||
|
|
ikrt_bntostring(ikp x, ikpcb* pcb){
|
||
|
|
/* FIXME: avoid calling malloc, instead, use the heap pointer itself
|
||
|
|
* as a buffer to hold the temporary data after ensuring that it has enough
|
||
|
|
* space */
|
||
|
|
ikp fst = ref(x, -vector_tag);
|
||
|
|
int limb_count = (((unsigned int)fst) >> bignum_length_shift);
|
||
|
|
if(limb_count <= 0){
|
||
|
|
fprintf(stderr, "BUG: nbtostring: invalid length %d\n", limb_count);
|
||
|
|
exit(-1);
|
||
|
|
}
|
||
|
|
int sign_bit = bignum_sign_mask & (int) fst;
|
||
|
|
int nbsize = limb_count * sizeof(mp_limb_t);
|
||
|
|
int strsize = limb_count * max_digits_per_limb;
|
||
|
|
int mem_req = nbsize + strsize + 1;
|
||
|
|
unsigned char* mem = malloc(mem_req);
|
||
|
|
if(! mem){
|
||
|
|
fprintf(stderr, "Error allocating space for bignum\n");
|
||
|
|
exit(-1);
|
||
|
|
}
|
||
|
|
memcpy(mem, x - vector_tag + disp_bignum_data, nbsize);
|
||
|
|
mp_size_t bytes =
|
||
|
|
mpn_get_str(mem+nbsize, /* output string */
|
||
|
|
10, /* base */
|
||
|
|
(mp_limb_t*) mem, /* limb */
|
||
|
|
limb_count /* number of limbs */
|
||
|
|
);
|
||
|
|
unsigned char* string_start = mem + nbsize;
|
||
|
|
while(*string_start == 0){
|
||
|
|
string_start++;
|
||
|
|
bytes--;
|
||
|
|
}
|
||
|
|
ikp str = ik_alloc(pcb, align(bytes + disp_string_data + (sign_bit?1:0)));
|
||
|
|
ref(str, 0) = fix(bytes + (sign_bit?1:0));
|
||
|
|
ikp dest = str + disp_string_data;
|
||
|
|
if(sign_bit){
|
||
|
|
*dest = '-';
|
||
|
|
dest++;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
int i = 0;
|
||
|
|
while(i < bytes){
|
||
|
|
dest[i] = string_start[i] + '0';
|
||
|
|
i++;
|
||
|
|
}
|
||
|
|
dest[bytes] = 0;
|
||
|
|
}
|
||
|
|
free(mem);
|
||
|
|
return str + string_tag;
|
||
|
|
}
|
||
|
|
|