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/*
Copyright 2018 0KIMS association.
This file is part of circom (Zero Knowledge Circuit Compiler).
circom is a free software: you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
circom 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 General Public
License for more details.
You should have received a copy of the GNU General Public License
along with circom. If not, see <https://www.gnu.org/licenses/>.
*/
template MultiMux4(n) {
signal input c[n][16]; // Constants
signal input s[4]; // Selector
signal output out[n];
signal a3210[n];
signal a321[n];
signal a320[n];
signal a310[n];
signal a32[n];
signal a31[n];
signal a30[n];
signal a3[n];
signal a210[n];
signal a21[n];
signal a20[n];
signal a10[n];
signal a2[n];
signal a1[n];
signal a0[n];
signal a[n];
// 4 constrains for the intermediary variables
signal s10;
s10 <== s[1] * s[0];
signal s20;
s20 <== s[2] * s[0];
signal s21;
s21 <== s[2] * s[1];
signal s210;
s210 <== s21 * s[0];
for (var i=0; i<n; i++) {
a3210[i] <== ( c[i][15]-c[i][14]-c[i][13]+c[i][12] - c[i][11]+c[i][10]+c[i][ 9]-c[i][ 8]
-c[i][ 7]+c[i][ 6]+c[i][ 5]-c[i][ 4] + c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) * s210;
a321[i] <== ( c[i][14]-c[i][12]-c[i][10]+c[i][ 8] - c[i][ 6]+c[i][ 4]+c[i][ 2]-c[i][ 0] ) * s21;
a320[i] <== ( c[i][13]-c[i][12]-c[i][ 9]+c[i][ 8] - c[i][ 5]+c[i][ 4]+c[i][ 1]-c[i][ 0] ) * s20;
a310[i] <== ( c[i][11]-c[i][10]-c[i][ 9]+c[i][ 8] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) * s10;
a32[i] <== ( c[i][12]-c[i][ 8]-c[i][ 4]+c[i][ 0] ) * s[2];
a31[i] <== ( c[i][10]-c[i][ 8]-c[i][ 2]+c[i][ 0] ) * s[1];
a30[i] <== ( c[i][ 9]-c[i][ 8]-c[i][ 1]+c[i][ 0] ) * s[0];
a3[i] <== ( c[i][ 8]-c[i][ 0] );
a210[i] <== ( c[i][ 7]-c[i][ 6]-c[i][ 5]+c[i][ 4] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) * s210;
a21[i] <== ( c[i][ 6]-c[i][ 4]-c[i][ 2]+c[i][ 0] ) * s21;
a20[i] <== ( c[i][ 5]-c[i][ 4]-c[i][ 1]+c[i][ 0] ) * s20;
a10[i] <== ( c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) * s10;
a2[i] <== ( c[i][ 4]-c[i][ 0] ) * s[2];
a1[i] <== ( c[i][ 2]-c[i][ 0] ) * s[1];
a0[i] <== ( c[i][ 1]-c[i][ 0] ) * s[0];
a[i] <== ( c[i][ 0] )
out[i] <== ( a3210[i] + a321[i] + a320[i] + a310[i] + a32[i] + a31[i] + a30[i] + a3[i] ) * s[3] +
( a210[i] + a21[i] + a20[i] + a10[i] + a2[i] + a1[i] + a0[i] + a[i] );
/*
out[i] <== ( s210 * ( c[i][15]-c[i][14]-c[i][13]+c[i][12] - c[i][11]+c[i][10]+c[i][ 9]-c[i][ 8]
-c[i][ 7]+c[i][ 6]+c[i][ 5]-c[i][ 4] + c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) +
s21 * ( c[i][14]-c[i][12]-c[i][10]+c[i][ 8] - c[i][ 6]+c[i][ 4]+c[i][ 2]-c[i][ 0] ) +
s20 * ( c[i][13]-c[i][12]-c[i][ 9]+c[i][ 8] - c[i][ 5]+c[i][ 4]+c[i][ 1]-c[i][ 0] ) +
s10 * ( c[i][11]-c[i][10]-c[i][ 9]+c[i][ 8] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) +
s[2] * ( c[i][12]-c[i][ 8]-c[i][ 4]+c[i][ 0] ) +
s[1] * ( c[i][10]-c[i][ 8]-c[i][ 2]+c[i][ 0] ) +
s[0] * ( c[i][ 9]-c[i][ 8]-c[i][ 1]+c[i][ 0] ) +
( c[i][ 8]-c[i][ 0] ) ) * s[3] +
( s210 * ( c[i][ 7]-c[i][ 6]-c[i][ 5]+c[i][ 4] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) +
s21 * ( c[i][ 6]-c[i][ 4]-c[i][ 2]+c[i][ 0] ) +
s20 * ( c[i][ 5]-c[i][ 4]-c[i][ 1]+c[i][ 0] ) +
s10 * ( c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) +
s[2] * ( c[i][ 4]-c[i][ 0] ) +
s[1] * ( c[i][ 2]-c[i][ 0] ) +
s[0] * ( c[i][ 1]-c[i][ 0] ) +
( c[i][ 0] ));
*/
}
}
template Mux4() {
var i;
signal input c[16]; // Constants
signal input s[4]; // Selector
signal output out;
component mux = MultiMux4(1);
for (i=0; i<16; i++) {
mux.c[0][i] <== c[i];
}
for (i=0; i<4; i++) {
s[i] ==> mux.s[i];
}
mux.out[0] ==> out;
}