using System; namespace ThoughtWorks.QRCode.Codec.Ecc { public class BCH15_5 { internal int[][] gf16; internal bool[] recieveData; internal int numCorrectedError; virtual public int NumCorrectedError { get { return numCorrectedError; } } public BCH15_5(bool[] source) { gf16 = createGF16(); recieveData = source; } public virtual bool[] correct() { int[] s = calcSyndrome(recieveData); int[] errorPos = detectErrorBitPosition(s); bool[] output = correctErrorBit(recieveData, errorPos); return output; } internal virtual int[][] createGF16() { gf16 = new int[16][]; for (int i = 0; i < 16; i++) { gf16[i] = new int[4]; } int[] seed = new int[]{1, 1, 0, 0}; for (int i = 0; i < 4; i++) gf16[i][i] = 1; for (int i = 0; i < 4; i++) gf16[4][i] = seed[i]; for (int i = 5; i < 16; i++) { for (int j = 1; j < 4; j++) { gf16[i][j] = gf16[i - 1][j - 1]; } if (gf16[i - 1][3] == 1) { for (int j = 0; j < 4; j++) gf16[i][j] = (gf16[i][j] + seed[j]) % 2; } } return gf16; } internal virtual int searchElement(int[] x) { int k; for (k = 0; k < 15; k++) { if (x[0] == gf16[k][0] && x[1] == gf16[k][1] && x[2] == gf16[k][2] && x[3] == gf16[k][3]) break; } return k; } internal virtual int[] getCode(int input) { int[] f = new int[15]; int[] r = new int[8]; for (int i = 0; i < 15; i++) { //1 + x + x^3 int w1, w2; int yin; w1 = r[7]; if (i < 7) { yin = (input >> (6 - i)) % 2; w2 = (yin + w1) % 2; } else { yin = w1; w2 = 0; } r[7] = (r[6] + w2) % 2; r[6] = (r[5] + w2) % 2; r[5] = r[4]; r[4] = (r[3] + w2) % 2; r[3] = r[2]; r[2] = r[1]; r[1] = r[0]; r[0] = w2; f[14 - i] = yin; } return f; } internal static String[] bitName = new String[]{"c0", "c1", "c2", "c3", "c4", "c5", "c6", "c7", "c8", "c9", "d0", "d1", "d2", "d3", "d4"}; internal virtual int addGF(int arg1, int arg2) { int[] p = new int[4]; for (int m = 0; m < 4; m++) { int w1 = (arg1 < 0 || arg1 >= 15)?0:gf16[arg1][m]; int w2 = (arg2 < 0 || arg2 >= 15)?0:gf16[arg2][m]; p[m] = (w1 + w2) % 2; } return searchElement(p); } internal virtual int[] calcSyndrome(bool[] y) { int[] s = new int[5]; int[] p = new int[4]; int k; for (k = 0; k < 15; k++) { if (y[k] == true) for (int m = 0; m < 4; m++) p[m] = (p[m] + gf16[k][m]) % 2; } k = searchElement(p); s[0] = (k >= 15)?- 1:k; p = new int[4]; for (k = 0; k < 15; k++) { if (y[k] == true) for (int m = 0; m < 4; m++) p[m] = (p[m] + gf16[(k * 3) % 15][m]) % 2; } k = searchElement(p); s[2] = (k >= 15)?- 1:k; p = new int[4]; for (k = 0; k < 15; k++) { if (y[k] == true) for (int m = 0; m < 4; m++) p[m] = (p[m] + gf16[(k * 5) % 15][m]) % 2; } k = searchElement(p); s[4] = (k >= 15)?- 1:k; return s; } internal virtual int[] calcErrorPositionVariable(int[] s) { int[] e = new int[4]; // calc σ1 e[0] = s[0]; //Console.out.println("σ1 = " + String.valueOf(e[0])); // calc σ2 int t = (s[0] + s[1]) % 15; int mother = addGF(s[2], t); mother = (mother >= 15)?- 1:mother; t = (s[2] + s[1]) % 15; int child = addGF(s[4], t); child = (child >= 15)?- 1:child; e[1] = (child < 0 && mother < 0)?- 1:(child - mother + 15) % 15; // calc σ3 t = (s[1] + e[0]) % 15; int t1 = addGF(s[2], t); t = (s[0] + e[1]) % 15; e[2] = addGF(t1, t); return e; } internal virtual int[] detectErrorBitPosition(int[] s) { int[] e = calcErrorPositionVariable(s); int[] errorPos = new int[4]; if (e[0] == - 1) { //Console.out.println("No errors."); return errorPos; } else if (e[1] == - 1) { errorPos[0] = 1; errorPos[1] = e[0]; return errorPos; } int x3, x2, x1; int t, t1, t2, anError; //error detection for (int i = 0; i < 15; i++) { x3 = (i * 3) % 15; x2 = (i * 2) % 15; x1 = i; //p = new int[4]; t = (e[0] + x2) % 15; t1 = addGF(x3, t); t = (e[1] + x1) % 15; t2 = addGF(t, e[2]); anError = addGF(t1, t2); if (anError >= 15) { errorPos[0]++; errorPos[errorPos[0]] = i; } } return errorPos; } internal virtual bool[] correctErrorBit(bool[] y, int[] errorPos) { for (int i = 1; i <= errorPos[0]; i++) y[errorPos[i]] = !y[errorPos[i]]; numCorrectedError = errorPos[0]; return y; } } }