119 lines
4.6 KiB
C
119 lines
4.6 KiB
C
/* Test mpn_mulmod_2expp1
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Copyright 2009 Jason Moxham
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This file is part of the MPIR Library.
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The MPIR Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published
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by the Free Software Foundation; either version 2.1 of the License, or (at
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your option) any later version.
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The MPIR Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the MPIR Library; see the file COPYING.LIB. If not, write
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to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
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Boston, MA 02110-1301, USA.
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*/
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#include <stdio.h>
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#include <stdlib.h>
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#include "mpir.h"
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#include "gmp-impl.h"
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#include "tests.h"
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#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)
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int
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main (void)
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{unsigned long bp,xn,n,yn,b,zn,c,dn;gmp_randstate_ptr rands;int qpn,j,k,i,l,i1,k1,j1,i2,k2,j2,cc;
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mp_limb_t xp[10000],dp[10000],qp[10000],yp[10000],rp[10000],zp[10000],tp[10000],tb;
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tests_start ();
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rands=RANDS;
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b=1;tb=1;tb<<=b;
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for( ;b<600;b++,tb*=2)
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{xn=BITS_TO_LIMBS(b);k=xn*GMP_NUMB_BITS-b;if(tb==0 || tb>GMP_NUMB_MASK)tb=1;
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MPN_ZERO(dp,xn);mpn_com_n(dp,dp,xn);dp[xn-1]&=GMP_NUMB_MASK>>k;// dp is 2^b-1
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dn=xn;dp[xn]=mpn_add_1(dp,dp,xn,2);if(dp[dn]!=0)dn++;// dp is 2^b+1
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for(c=0;c<20;c++)
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{mpn_random2(xp,xn);mpn_random2(yp,xn);
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xp[xn-1]&=GMP_NUMB_MASK>>k;
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yp[xn-1]&=GMP_NUMB_MASK>>k;
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ASSERT_MPN(xp,xn);ASSERT_MPN(yp,xn);ASSERT_MPN(zp,zn);ASSERT_MPN(dp,dn);
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mpn_mul_n(zp,xp,yp,xn);zn=xn*2;MPN_NORMALIZE(zp,zn);
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if(zn>=dn){mpn_tdiv_qr(qp,rp,0,zp,zn,dp,dn);}else{MPN_COPY(rp,zp,dn);}
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cc=tp[xn]=mpn_mulmod_2expp1(tp,xp,yp,0,b,qp);
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if(cc!=0 && dn==xn){tp[xn-1]|=tb;}
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if(mpn_cmp(tp,rp,dn)!=0){printf("mpn_mulmod_2expp1 error %ld\n",b);abort();}
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}
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}
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b=1;tb=1;tb<<=b;
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for( ;b<600;b++,tb*=2)
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{xn=BITS_TO_LIMBS(b);k=xn*GMP_NUMB_BITS-b;if(tb==0 || tb>GMP_NUMB_MASK)tb=1;
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MPN_ZERO(dp,xn);mpn_com_n(dp,dp,xn);dp[xn-1]&=GMP_NUMB_MASK>>k;// dp is 2^b-1
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dn=xn;dp[xn]=mpn_add_1(dp,dp,xn,2);if(dp[dn]!=0)dn++;// dp is 2^b+1
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for(c=0;c<20;c++)
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{mpn_random2(xp,xn);MPN_ZERO(yp,xn);// set yp to 2^b
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xp[xn-1]&=GMP_NUMB_MASK>>k;
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yp[xn-1]&=GMP_NUMB_MASK>>k;
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yn=xn;if(tb==1)yn++;
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yp[yn-1]=tb;
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ASSERT_MPN(xp,xn);
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ASSERT_MPN(yp,yn);
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ASSERT_MPN(zp,zn);
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ASSERT_MPN(dp,dn);
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mpn_mul(zp,yp,yn,xp,xn);zn=xn*2;MPN_NORMALIZE(zp,zn);MPN_ZERO(yp,xn);// set yp to 2^b
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if(zn>=dn){mpn_tdiv_qr(qp,rp,0,zp,zn,dp,dn);}else{MPN_COPY(rp,zp,dn);}
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cc=tp[xn]=mpn_mulmod_2expp1(tp,xp,yp,1,b,qp);
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if(cc!=0 && dn==xn){tp[xn-1]|=tb;}
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if(mpn_cmp(tp,rp,dn)!=0){printf("mpn_mulmod_2expp1 error %ld\n",b);abort();}
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}
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}
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b=1;tb=1;tb<<=b;
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for( ;b<600;b++,tb*=2)
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{xn=BITS_TO_LIMBS(b);k=xn*GMP_NUMB_BITS-b;if(tb==0 || tb>GMP_NUMB_MASK)tb=1;
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MPN_ZERO(dp,xn);mpn_com_n(dp,dp,xn);dp[xn-1]&=GMP_NUMB_MASK>>k;// dp is 2^b-1
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dn=xn;dp[xn]=mpn_add_1(dp,dp,xn,2);if(dp[dn]!=0)dn++;// dp is 2^b+1
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for(c=0;c<20;c++)
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{mpn_random2(xp,xn);MPN_ZERO(yp,xn);// set yp to 2^b
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xp[xn-1]&=GMP_NUMB_MASK>>k;
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yp[xn-1]&=GMP_NUMB_MASK>>k;
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yn=xn;if(tb==1)yn++;
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yp[yn-1]=tb;
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ASSERT_MPN(xp,xn);ASSERT_MPN(yp,yn);ASSERT_MPN(zp,zn);ASSERT_MPN(dp,dn);
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mpn_mul(zp,yp,yn,xp,xn);zn=xn*2;MPN_NORMALIZE(zp,zn);MPN_ZERO(yp,xn);// set yp to 2^b
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if(zn>=dn){mpn_tdiv_qr(qp,rp,0,zp,zn,dp,dn);}else{MPN_COPY(rp,zp,dn);}
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cc=tp[xn]=mpn_mulmod_2expp1(tp,yp,xp,2,b,qp);
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if(cc!=0 && dn==xn){tp[xn-1]|=tb;}
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if(mpn_cmp(tp,rp,dn)!=0){printf("mpn_mulmod_2expp1 error %ld\n",b);abort();}
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}
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}
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rp[0]=1;MPN_ZERO(rp+1,1000);
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b=1;tb=1;tb<<=b;
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for( ;b<600;b++,tb*=2)
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{xn=BITS_TO_LIMBS(b);k=xn*GMP_NUMB_BITS-b;if(tb==0 || tb>GMP_NUMB_MASK)tb=1;
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MPN_ZERO(dp,xn);mpn_com_n(dp,dp,xn);dp[xn-1]&=GMP_NUMB_MASK>>k;// dp is 2^b-1
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dn=xn;dp[xn]=mpn_add_1(dp,dp,xn,2);if(dp[dn]!=0)dn++;// dp is 2^b+1
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for(c=0;c<1;c++)
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{MPN_ZERO(xp,xn);MPN_ZERO(yp,xn);// set xp,yp to 2^b
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xp[xn-1]&=GMP_NUMB_MASK>>k;
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yp[xn-1]&=GMP_NUMB_MASK>>k;
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cc=tp[xn]=mpn_mulmod_2expp1(tp,yp,xp,3,b,qp);
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if(cc!=0 && dn==xn){tp[xn-1]|=tb;}
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if(mpn_cmp(tp,rp,dn)!=0){printf("mpn_mulmod_2expp1 error %ld\n",b);abort();}
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}
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}
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tests_end ();
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exit (0);
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}
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