/* Test mpn_mulmod_2expp1 Copyright 2009 Jason Moxham This file is part of the MPIR Library. The MPIR Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. The MPIR Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the MPIR Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. */ #include #include #include "mpir.h" #include "gmp-impl.h" #include "tests.h" #define DISP(xp,xn) do{int __t;printf("%s=",#xp);for(__t=(xn)-1;__t>=0;__t--)printf("%ld ",(xp)[__t]);printf("\n");}while(0) int main (void) {unsigned long bp,xn,n,yn,b,zn,c,dn;gmp_randstate_t rands;int qpn,j,k,i,l,i1,k1,j1,i2,k2,j2,cc; mp_limb_t xp[10000],dp[10000],qp[10000],yp[10000],rp[10000],zp[10000],tp[10000],tb; tests_start (); gmp_randinit_default(rands); b=1;tb=1;tb<<=b; for( ;b<600;b++,tb*=2) {xn=BITS_TO_LIMBS(b);k=xn*GMP_NUMB_BITS-b;if(tb==0 || tb>GMP_NUMB_MASK)tb=1; MPN_ZERO(dp,xn);mpn_com_n(dp,dp,xn);dp[xn-1]&=GMP_NUMB_MASK>>k;// dp is 2^b-1 dn=xn;dp[xn]=mpn_add_1(dp,dp,xn,2);if(dp[dn]!=0)dn++;// dp is 2^b+1 for(c=0;c<20;c++) {mpn_rrandom(xp,rands,xn);mpn_rrandom(yp,rands,xn); xp[xn-1]&=GMP_NUMB_MASK>>k; yp[xn-1]&=GMP_NUMB_MASK>>k; ASSERT_MPN(xp,xn);ASSERT_MPN(yp,xn);ASSERT_MPN(zp,zn);ASSERT_MPN(dp,dn); mpn_mul_n(zp,xp,yp,xn);zn=xn*2;MPN_NORMALIZE(zp,zn); if(zn>=dn){mpn_tdiv_qr(qp,rp,0,zp,zn,dp,dn);}else{MPN_COPY(rp,zp,dn);} cc=tp[xn]=mpn_mulmod_2expp1(tp,xp,yp,0,b,qp); if(cc!=0 && dn==xn){tp[xn-1]|=tb;} if(mpn_cmp(tp,rp,dn)!=0){printf("mpn_mulmod_2expp1 error %ld\n",b);abort();} } } b=1;tb=1;tb<<=b; for( ;b<600;b++,tb*=2) {xn=BITS_TO_LIMBS(b);k=xn*GMP_NUMB_BITS-b;if(tb==0 || tb>GMP_NUMB_MASK)tb=1; MPN_ZERO(dp,xn);mpn_com_n(dp,dp,xn);dp[xn-1]&=GMP_NUMB_MASK>>k;// dp is 2^b-1 dn=xn;dp[xn]=mpn_add_1(dp,dp,xn,2);if(dp[dn]!=0)dn++;// dp is 2^b+1 for(c=0;c<20;c++) {mpn_rrandom(xp,rands,xn);MPN_ZERO(yp,xn);// set yp to 2^b xp[xn-1]&=GMP_NUMB_MASK>>k; yp[xn-1]&=GMP_NUMB_MASK>>k; yn=xn;if(tb==1)yn++; yp[yn-1]=tb; ASSERT_MPN(xp,xn); ASSERT_MPN(yp,yn); ASSERT_MPN(zp,zn); ASSERT_MPN(dp,dn); mpn_mul(zp,yp,yn,xp,xn);zn=xn*2;MPN_NORMALIZE(zp,zn);MPN_ZERO(yp,xn);// set yp to 2^b if(zn>=dn){mpn_tdiv_qr(qp,rp,0,zp,zn,dp,dn);}else{MPN_COPY(rp,zp,dn);} cc=tp[xn]=mpn_mulmod_2expp1(tp,xp,yp,1,b,qp); if(cc!=0 && dn==xn){tp[xn-1]|=tb;} if(mpn_cmp(tp,rp,dn)!=0){printf("mpn_mulmod_2expp1 error %ld\n",b);abort();} } } b=1;tb=1;tb<<=b; for( ;b<600;b++,tb*=2) {xn=BITS_TO_LIMBS(b);k=xn*GMP_NUMB_BITS-b;if(tb==0 || tb>GMP_NUMB_MASK)tb=1; MPN_ZERO(dp,xn);mpn_com_n(dp,dp,xn);dp[xn-1]&=GMP_NUMB_MASK>>k;// dp is 2^b-1 dn=xn;dp[xn]=mpn_add_1(dp,dp,xn,2);if(dp[dn]!=0)dn++;// dp is 2^b+1 for(c=0;c<20;c++) {mpn_rrandom(xp,rands,xn);MPN_ZERO(yp,xn);// set yp to 2^b xp[xn-1]&=GMP_NUMB_MASK>>k; yp[xn-1]&=GMP_NUMB_MASK>>k; yn=xn;if(tb==1)yn++; yp[yn-1]=tb; ASSERT_MPN(xp,xn);ASSERT_MPN(yp,yn);ASSERT_MPN(zp,zn);ASSERT_MPN(dp,dn); mpn_mul(zp,yp,yn,xp,xn);zn=xn*2;MPN_NORMALIZE(zp,zn);MPN_ZERO(yp,xn);// set yp to 2^b if(zn>=dn){mpn_tdiv_qr(qp,rp,0,zp,zn,dp,dn);}else{MPN_COPY(rp,zp,dn);} cc=tp[xn]=mpn_mulmod_2expp1(tp,yp,xp,2,b,qp); if(cc!=0 && dn==xn){tp[xn-1]|=tb;} if(mpn_cmp(tp,rp,dn)!=0){printf("mpn_mulmod_2expp1 error %ld\n",b);abort();} } } rp[0]=1;MPN_ZERO(rp+1,1000); b=1;tb=1;tb<<=b; for( ;b<600;b++,tb*=2) {xn=BITS_TO_LIMBS(b);k=xn*GMP_NUMB_BITS-b;if(tb==0 || tb>GMP_NUMB_MASK)tb=1; MPN_ZERO(dp,xn);mpn_com_n(dp,dp,xn);dp[xn-1]&=GMP_NUMB_MASK>>k;// dp is 2^b-1 dn=xn;dp[xn]=mpn_add_1(dp,dp,xn,2);if(dp[dn]!=0)dn++;// dp is 2^b+1 for(c=0;c<1;c++) {MPN_ZERO(xp,xn);MPN_ZERO(yp,xn);// set xp,yp to 2^b xp[xn-1]&=GMP_NUMB_MASK>>k; yp[xn-1]&=GMP_NUMB_MASK>>k; cc=tp[xn]=mpn_mulmod_2expp1(tp,yp,xp,3,b,qp); if(cc!=0 && dn==xn){tp[xn-1]|=tb;} if(mpn_cmp(tp,rp,dn)!=0){printf("mpn_mulmod_2expp1 error %ld\n",b);abort();} } } gmp_randclear(rands); tests_end (); exit (0); }