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+/* DCT.java --
+ Copyright (C) 2005 Free Software Foundation, Inc.
+
+This file is part of GNU Classpath.
+
+GNU Classpath is 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 2, or (at your option)
+any later version.
+
+GNU Classpath 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 GNU Classpath; see the file COPYING. If not, write to the
+Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301 USA.
+
+Linking this library statically or dynamically with other modules is
+making a combined work based on this library. Thus, the terms and
+conditions of the GNU General Public License cover the whole
+combination.
+
+As a special exception, the copyright holders of this library give you
+permission to link this library with independent modules to produce an
+executable, regardless of the license terms of these independent
+modules, and to copy and distribute the resulting executable under
+terms of your choice, provided that you also meet, for each linked
+independent module, the terms and conditions of the license of that
+module. An independent module is a module which is not derived from
+or based on this library. If you modify this library, you may extend
+this exception to your version of the library, but you are not
+obligated to do so. If you do not wish to do so, delete this
+exception statement from your version. */
+
+package gnu.javax.imageio.jpeg;
+
+/**
+ * Discrete Cosine Transformations.
+ */
+public class DCT
+{
+
+ /**
+ * Cosine matrix
+ */
+ public double c[][] = new double[8][8];
+
+ /**
+ * Transformed cosine matrix
+ */
+ public double cT[][] = new double[8][8];
+
+ public DCT()
+ {
+ initMatrix();
+ }
+
+ /**
+ * Figure A.3.3 IDCT, Cu Cv on A-5 of the ISO DIS 10918-1. Requirements and
+ * Guidelines.
+ *
+ * @param u
+ * @return
+ */
+ public static double C(int u)
+ {
+ return ((u == 0) ? (double) 1 / (double) Math.sqrt((double) 2)
+ : (double) 1);
+ }
+
+ /**
+ * Initialize matrix values for the fast_idct function
+ */
+ private void initMatrix()
+ {
+ for (int j = 0; j < 8; j++)
+ {
+ double nn = (double) (8);
+ c[0][j] = 1.0 / Math.sqrt(nn);
+ cT[j][0] = c[0][j];
+ }
+ for (int i = 1; i < 8; i++)
+ {
+ for (int j = 0; j < 8; j++)
+ {
+ double jj = (double) j;
+ double ii = (double) i;
+ c[i][j] =
+ Math.sqrt(2.0 / 8.0)
+ * Math.cos(((2.0 * jj + 1.0) * ii * Math.PI) / (2.0 * 8.0));
+ cT[j][i] = c[i][j];
+ }
+ }
+ }
+
+ /**
+ * slow_idct - Figure A.3.3 IDCT (informative) on A-5 of the ISO DIS
+ * 10918-1. Requirements and Guidelines. This is a slow IDCT, there are
+ * better algorithms to use, it's fairly expensive with processor speed.
+ *
+ * @param matrix
+ * @return
+ */
+ public static double[][] slow_idct(double[][] matrix)
+ {
+ double[][] output = new double[matrix.length][matrix.length];
+ for (int y = 0; y < 8; y++)
+ {
+ for (int x = 0; x < 8; x++)
+ {
+ double val = 0;
+ for (double v = 0; v < 8; v++)
+ {
+ double innerloop = 0;
+ for (double u = 0; u < 8; u++)
+ innerloop += (DCT.C((int) u) / (double) 2)
+ * matrix[(int) v][(int) u]
+ * Math.cos((2 * x + 1) * u * Math.PI / (double) 16)
+ * Math.cos((2 * y + 1) * v * Math.PI / (double) 16);
+ val += (DCT.C((int) v) / (double) 2) * innerloop;
+ }
+ output[y][x] = (val + 128);
+ }
+ }
+ return (output);
+ }
+
+ public static float[][] slow_fdct(float[][] value)
+ {
+ float[][] buffer = new float[8][8];
+
+ for (int u = 0; u < 8; u++)
+ {
+ for (int v = 0; v < 8; v++)
+ {
+ buffer[u][v] =
+ (float) (1 / 4) * (float) C((int) u) * (float) C((int) v);
+ float innerval = 0;
+ for (int x = 0; x < 8; x++)
+ {
+ for (int y = 0; y < 8; y++)
+ {
+ innerval += value[y][x]
+ * Math.cos(((2 * x + 1) * u * Math.PI) / 16)
+ * Math.cos(((2 * y + 1) * v * Math.PI) / 16);
+ }
+ }
+ buffer[u][v] *= innerval;
+ }
+ }
+ return (buffer);
+ }
+
+ public float[][] fast_fdct(float[][] input)
+ {
+ float output[][] = new float[8][8];
+ double temp[][] = new double[8][8];
+ double temp1;
+ int i;
+ int j;
+ int k;
+
+ for (i = 0; i < 8; i++)
+ {
+ for (j = 0; j < 8; j++)
+ {
+ temp[i][j] = 0.0;
+ for (k = 0; k < 8; k++)
+ {
+ temp[i][j] += (((int) (input[i][k]) - 128) * cT[k][j]);
+ }
+ }
+ }
+
+ for (i = 0; i < 8; i++)
+ {
+ for (j = 0; j < 8; j++)
+ {
+ temp1 = 0.0;
+
+ for (k = 0; k < 8; k++)
+ {
+ temp1 += (c[i][k] * temp[k][j]);
+ }
+
+ output[i][j] = (int) Math.round(temp1) * 8;
+ }
+ }
+
+ return output;
+ }
+
+ /**
+ * fast_idct - Figure A.3.3 IDCT (informative) on A-5 of the ISO DIS
+ * 10918-1. Requires and Guidelines. This is a fast IDCT, it much more
+ * effecient and only inaccurate at about 1/1000th of a percent of values
+ * analyzed. Cannot be static because initMatrix must run before any
+ * fast_idct values can be computed.
+ *
+ * @param input
+ * @return
+ */
+ public double[][] fast_idct(double[][] input)
+ {
+ double output[][] = new double[8][8];
+ double temp[][] = new double[8][8];
+ double temp1;
+ int i, j, k;
+ for (i = 0; i < 8; i++)
+ {
+ for (j = 0; j < 8; j++)
+ {
+ temp[i][j] = 0.0;
+ for (k = 0; k < 8; k++)
+ {
+ temp[i][j] += input[i][k] * c[k][j];
+ }
+ }
+ }
+ for (i = 0; i < 8; i++)
+ {
+ for (j = 0; j < 8; j++)
+ {
+ temp1 = 0.0;
+ for (k = 0; k < 8; k++)
+ temp1 += cT[i][k] * temp[k][j];
+ temp1 += 128.0;
+ if (temp1 < 0)
+ output[i][j] = 0;
+ else if (temp1 > 255)
+ output[i][j] = 255;
+ else
+ output[i][j] = (int) Math.round(temp1);
+ }
+ }
+ return output;
+ }
+
+ public double[][] idj_fast_fdct(float input[][])
+ {
+ double output[][] = new double[8][8];
+ double tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
+ double tmp10, tmp11, tmp12, tmp13;
+ double z1, z2, z3, z4, z5, z11, z13;
+ int i;
+ int j;
+
+ // Subtracts 128 from the input values
+ for (i = 0; i < 8; i++)
+ {
+ for (j = 0; j < 8; j++)
+ {
+ output[i][j] = ((double) input[i][j] - (double) 128.0);
+ // input[i][j] -= 128;
+
+ }
+ }
+
+ for (i = 0; i < 8; i++)
+ {
+ tmp0 = output[i][0] + output[i][7];
+ tmp7 = output[i][0] - output[i][7];
+ tmp1 = output[i][1] + output[i][6];
+ tmp6 = output[i][1] - output[i][6];
+ tmp2 = output[i][2] + output[i][5];
+ tmp5 = output[i][2] - output[i][5];
+ tmp3 = output[i][3] + output[i][4];
+ tmp4 = output[i][3] - output[i][4];
+
+ tmp10 = tmp0 + tmp3;
+ tmp13 = tmp0 - tmp3;
+ tmp11 = tmp1 + tmp2;
+ tmp12 = tmp1 - tmp2;
+
+ output[i][0] = tmp10 + tmp11;
+ output[i][4] = tmp10 - tmp11;
+
+ z1 = (tmp12 + tmp13) * (double) 0.707106781;
+ output[i][2] = tmp13 + z1;
+ output[i][6] = tmp13 - z1;
+
+ tmp10 = tmp4 + tmp5;
+ tmp11 = tmp5 + tmp6;
+ tmp12 = tmp6 + tmp7;
+
+ z5 = (tmp10 - tmp12) * (double) 0.382683433;
+ z2 = ((double) 0.541196100) * tmp10 + z5;
+ z4 = ((double) 1.306562965) * tmp12 + z5;
+ z3 = tmp11 * ((double) 0.707106781);
+
+ z11 = tmp7 + z3;
+ z13 = tmp7 - z3;
+
+ output[i][5] = z13 + z2;
+ output[i][3] = z13 - z2;
+ output[i][1] = z11 + z4;
+ output[i][7] = z11 - z4;
+ }
+
+ for (i = 0; i < 8; i++)
+ {
+ tmp0 = output[0][i] + output[7][i];
+ tmp7 = output[0][i] - output[7][i];
+ tmp1 = output[1][i] + output[6][i];
+ tmp6 = output[1][i] - output[6][i];
+ tmp2 = output[2][i] + output[5][i];
+ tmp5 = output[2][i] - output[5][i];
+ tmp3 = output[3][i] + output[4][i];
+ tmp4 = output[3][i] - output[4][i];
+
+ tmp10 = tmp0 + tmp3;
+ tmp13 = tmp0 - tmp3;
+ tmp11 = tmp1 + tmp2;
+ tmp12 = tmp1 - tmp2;
+
+ output[0][i] = tmp10 + tmp11;
+ output[4][i] = tmp10 - tmp11;
+
+ z1 = (tmp12 + tmp13) * (double) 0.707106781;
+ output[2][i] = tmp13 + z1;
+ output[6][i] = tmp13 - z1;
+
+ tmp10 = tmp4 + tmp5;
+ tmp11 = tmp5 + tmp6;
+ tmp12 = tmp6 + tmp7;
+
+ z5 = (tmp10 - tmp12) * (double) 0.382683433;
+ z2 = ((double) 0.541196100) * tmp10 + z5;
+ z4 = ((double) 1.306562965) * tmp12 + z5;
+ z3 = tmp11 * ((double) 0.707106781);
+
+ z11 = tmp7 + z3;
+ z13 = tmp7 - z3;
+
+ output[5][i] = z13 + z2;
+ output[3][i] = z13 - z2;
+ output[1][i] = z11 + z4;
+ output[7][i] = z11 - z4;
+ }
+
+ return output;
+ }
+
+}