104 lines
3.8 KiB
Plaintext
104 lines
3.8 KiB
Plaintext
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template MultiMux4(n) {
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signal input c[n][16]; // Constants
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signal input s[4]; // Selector
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signal output out[n];
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signal a3210[n];
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signal a321[n];
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signal a320[n];
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signal a310[n];
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signal a32[n];
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signal a31[n];
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signal a30[n];
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signal a3[n];
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signal a210[n];
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signal a21[n];
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signal a20[n];
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signal a10[n];
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signal a2[n];
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signal a1[n];
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signal a0[n];
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signal a[n];
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// 4 constrains for the intermediary variables
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signal s10;
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s10 <== s[1] * s[0];
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signal s20;
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s20 <== s[2] * s[0];
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signal s21;
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s21 <== s[2] * s[1];
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signal s210;
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s210 <== s21 * s[0];
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for (var i=0; i<n; i++) {
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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]
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-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;
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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;
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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;
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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;
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a32[i] <== ( c[i][12]-c[i][ 8]-c[i][ 4]+c[i][ 0] ) * s[2];
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a31[i] <== ( c[i][10]-c[i][ 8]-c[i][ 2]+c[i][ 0] ) * s[1];
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a30[i] <== ( c[i][ 9]-c[i][ 8]-c[i][ 1]+c[i][ 0] ) * s[0];
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a3[i] <== ( c[i][ 8]-c[i][ 0] );
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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;
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a21[i] <== ( c[i][ 6]-c[i][ 4]-c[i][ 2]+c[i][ 0] ) * s21;
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a20[i] <== ( c[i][ 5]-c[i][ 4]-c[i][ 1]+c[i][ 0] ) * s20;
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a10[i] <== ( c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) * s10;
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a2[i] <== ( c[i][ 4]-c[i][ 0] ) * s[2];
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a1[i] <== ( c[i][ 2]-c[i][ 0] ) * s[1];
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a0[i] <== ( c[i][ 1]-c[i][ 0] ) * s[0];
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a[i] <== ( c[i][ 0] )
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out[i] <== ( a3210[i] + a321[i] + a320[i] + a310[i] + a32[i] + a31[i] + a30[i] + a3[i] ) * s[3] +
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( a210[i] + a21[i] + a20[i] + a10[i] + a2[i] + a1[i] + a0[i] + a[i] );
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/*
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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]
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-c[i][ 7]+c[i][ 6]+c[i][ 5]-c[i][ 4] + c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) +
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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] ) +
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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] ) +
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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] ) +
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s[2] * ( c[i][12]-c[i][ 8]-c[i][ 4]+c[i][ 0] ) +
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s[1] * ( c[i][10]-c[i][ 8]-c[i][ 2]+c[i][ 0] ) +
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s[0] * ( c[i][ 9]-c[i][ 8]-c[i][ 1]+c[i][ 0] ) +
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( c[i][ 8]-c[i][ 0] ) ) * s[3] +
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( 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] ) +
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s21 * ( c[i][ 6]-c[i][ 4]-c[i][ 2]+c[i][ 0] ) +
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s20 * ( c[i][ 5]-c[i][ 4]-c[i][ 1]+c[i][ 0] ) +
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s10 * ( c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) +
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s[2] * ( c[i][ 4]-c[i][ 0] ) +
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s[1] * ( c[i][ 2]-c[i][ 0] ) +
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s[0] * ( c[i][ 1]-c[i][ 0] ) +
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( c[i][ 0] ));
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*/
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}
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}
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template Mux4() {
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var i;
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signal input c[16]; // Constants
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signal input s[4]; // Selector
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signal output out;
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component mux = MultiMux4(1);
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for (i=0; i<16; i++) {
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mux.c[0][i] <== c[i];
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}
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for (i=0; i<4; i++) {
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s[i] ==> mux.s[i];
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}
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mux.out[0] ==> out;
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}
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