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84 lines
2.1 KiB
C
84 lines
2.1 KiB
C
/* omuln.c: Multiplication modulo an integer N
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Copyright 2003 Bjoern Butscher, Hendrik Weimer
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This file is part of libquantum
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libquantum is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published
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by the Free Software Foundation; either version 3 of the License,
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or (at your option) any later version.
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libquantum is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with libquantum; if not, write to the Free Software
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Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
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MA 02110-1301, USA
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*/
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#include "defs.h"
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#include "matrix.h"
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#include "gates.h"
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#include "oaddn.h"
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#include "classic.h"
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void emul(int a, int L, int width, quantum_reg *reg){
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int i;
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for(i=width-1;i>=0;i--) if ((a>>i) & 1) {
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quantum_toffoli(2*width+2,L,width+i,reg);
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}
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}
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void muln(int N, int a, int ctl, int width, quantum_reg *reg){//ctl tells, which bit is the external enable bit
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int i;
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int L = 2*width+1;
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quantum_toffoli(ctl,2*width+2,L,reg);
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emul(a%N, L, width, reg);
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quantum_toffoli(ctl,2*width+2,L,reg);
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for(i=1;i<width;i++){
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quantum_toffoli(ctl,2*width+2+i,L,reg);
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add_mod_n(N,((1<<i)*a)%N,width,reg);
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quantum_toffoli(ctl,2*width+2+i,L,reg);
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}
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}
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void muln_inv(int N, int a, int ctl, int width, quantum_reg *reg){//ctl tells, which bit is the external enable bit
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int i;
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int L = 2*width+1;
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a=quantum_inverse_mod(N,a);
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for(i=width-1;i>0;i--){
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quantum_toffoli(ctl,2*width+2+i,L,reg);
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add_mod_n(N,N-((1<<i)*a)%N,width,reg);
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quantum_toffoli(ctl,2*width+2+i,L,reg);
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}
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quantum_toffoli(ctl,2*width+2,L,reg);
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emul(a%N, L, width, reg);
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quantum_toffoli(ctl,2*width+2,L,reg);
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}
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void mul_mod_n(int N, int a, int ctl, int width, quantum_reg *reg)
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{
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muln(N,a,ctl,width,reg);
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quantum_swaptheleads_omuln_controlled(ctl, width, reg);
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muln_inv(N,a,ctl,width,reg);
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}
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