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+implement IDCT;
+
+include "sys.m";
+include "mpegio.m";
+
+init()
+{
+}
+
+# IDCT based on Arai, Agui, and Nakajima, using flow chart Figure 4.8
+# of Pennebaker & Mitchell, JPEG: Still Image Data Compression Standard.
+# Remember IDCT is reverse of flow of DCT.
+# Based on rob's readjpeg.b
+
+a0: con 1.414;
+a1: con 0.707;
+a2: con 0.541;
+a3: con 0.707;
+a4: con 1.307;
+a5: con -0.383;
+
+# scaling factors from eqn 4-35 of P&M
+s1: con 1.0196;
+s2: con 1.0823;
+s3: con 1.2026;
+s4: con 1.4142;
+s5: con 1.8000;
+s6: con 2.6131;
+s7: con 5.1258;
+
+# overall normalization of 1/16, folded into premultiplication on vertical pass
+scale: con 0.0625;
+
+ridct(zin: array of real, zout: array of real)
+{
+ x, y: int;
+
+ r := array[8*8] of real;
+
+ # transform horizontally
+ for(y=0; y<8; y++){
+ eighty := y<<3;
+ # if all non-DC components are zero, just propagate the DC term
+ if(zin[eighty+1]==0.)
+ if(zin[eighty+2]==0. && zin[eighty+3]==0.)
+ if(zin[eighty+4]==0. && zin[eighty+5]==0.)
+ if(zin[eighty+6]==0. && zin[eighty+7]==0.){
+ v := zin[eighty]*a0;
+ r[eighty+0] = v;
+ r[eighty+1] = v;
+ r[eighty+2] = v;
+ r[eighty+3] = v;
+ r[eighty+4] = v;
+ r[eighty+5] = v;
+ r[eighty+6] = v;
+ r[eighty+7] = v;
+ continue;
+ }
+
+ # step 5
+ in1 := s1*zin[eighty+1];
+ in3 := s3*zin[eighty+3];
+ in5 := s5*zin[eighty+5];
+ in7 := s7*zin[eighty+7];
+ f2 := s2*zin[eighty+2];
+ f3 := s6*zin[eighty+6];
+ f5 := (in1+in7);
+ f7 := (in5+in3);
+
+ # step 4
+ g2 := f2-f3;
+ g4 := (in5-in3);
+ g6 := (in1-in7);
+ g7 := f5+f7;
+
+ # step 3.5
+ t := (g4+g6)*a5;
+
+ # step 3
+ f0 := a0*zin[eighty+0];
+ f1 := s4*zin[eighty+4];
+ f3 += f2;
+ f2 = a1*g2;
+
+ # step 2
+ g0 := f0+f1;
+ g1 := f0-f1;
+ g3 := f2+f3;
+ g4 = t-a2*g4;
+ g5 := a3*(f5-f7);
+ g6 = a4*g6+t;
+
+ # step 1
+ f0 = g0+g3;
+ f1 = g1+f2;
+ f2 = g1-f2;
+ f3 = g0-g3;
+ f5 = g5-g4;
+ f6 := g5+g6;
+ f7 = g6+g7;
+
+ # step 6
+ r[eighty+0] = (f0+f7);
+ r[eighty+1] = (f1+f6);
+ r[eighty+2] = (f2+f5);
+ r[eighty+3] = (f3-g4);
+ r[eighty+4] = (f3+g4);
+ r[eighty+5] = (f2-f5);
+ r[eighty+6] = (f1-f6);
+ r[eighty+7] = (f0-f7);
+ }
+
+ # transform vertically
+ for(x=0; x<8; x++){
+ # step 5
+ in1 := scale*s1*r[x+8];
+ in3 := scale*s3*r[x+24];
+ in5 := scale*s5*r[x+40];
+ in7 := scale*s7*r[x+56];
+ f2 := scale*s2*r[x+16];
+ f3 := scale*s6*r[x+48];
+ f5 := (in1+in7);
+ f7 := (in5+in3);
+
+ # step 4
+ g2 := f2-f3;
+ g4 := (in5-in3);
+ g6 := (in1-in7);
+ g7 := f5+f7;
+
+ # step 3.5
+ t := (g4+g6)*a5;
+
+ # step 3
+ f0 := scale*a0*r[x];
+ f1 := scale*s4*r[x+32];
+ f3 += f2;
+ f2 = a1*g2;
+
+ # step 2
+ g0 := f0+f1;
+ g1 := f0-f1;
+ g3 := f2+f3;
+ g4 = t-a2*g4;
+ g5 := a3*(f5-f7);
+ g6 = a4*g6+t;
+
+ # step 1
+ f0 = g0+g3;
+ f1 = g1+f2;
+ f2 = g1-f2;
+ f3 = g0-g3;
+ f5 = g5-g4;
+ f6 := g5+g6;
+ f7 = g6+g7;
+
+ # step 6
+ zout[x] = (f0+f7);
+ zout[x+8] = (f1+f6);
+ zout[x+16] = (f2+f5);
+ zout[x+24] = (f3-g4);
+ zout[x+32] = (f3+g4);
+ zout[x+40] = (f2-f5);
+ zout[x+48] = (f1-f6);
+ zout[x+56] = (f0-f7);
+ }
+}
+
+idct(b: array of int)
+{
+ tmp := array[64] of real;
+ for (i := 0; i < 64; i++)
+ tmp[i] = real b[i];
+ ridct(tmp, tmp);
+ for (i = 0; i < 64; i++)
+ b[i] = int tmp[i];
+}