src/main/java/org/mariadb/jdbc/internal/com/send/authentication/ed25519/math/ed25519/ScalarOps.java [95:405]: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - s11 += s23 * 666643; s12 += s23 * 470296; s13 += s23 * 654183; s14 -= s23 * 997805; s15 += s23 * 136657; s16 -= s23 * 683901; // not used again // s23 = 0; s10 += s22 * 666643; s11 += s22 * 470296; s12 += s22 * 654183; s13 -= s22 * 997805; s14 += s22 * 136657; s15 -= s22 * 683901; // not used again // s22 = 0; s9 += s21 * 666643; s10 += s21 * 470296; s11 += s21 * 654183; s12 -= s21 * 997805; s13 += s21 * 136657; s14 -= s21 * 683901; // not used again // s21 = 0; s8 += s20 * 666643; s9 += s20 * 470296; s10 += s20 * 654183; s11 -= s20 * 997805; s12 += s20 * 136657; s13 -= s20 * 683901; // not used again // s20 = 0; s7 += s19 * 666643; s8 += s19 * 470296; s9 += s19 * 654183; s10 -= s19 * 997805; s11 += s19 * 136657; s12 -= s19 * 683901; // not used again // s19 = 0; s6 += s18 * 666643; s7 += s18 * 470296; s8 += s18 * 654183; s9 -= s18 * 997805; s10 += s18 * 136657; s11 -= s18 * 683901; // not used again // s18 = 0; /** Time to reduce the coefficient in order not to get an overflow. */ carry6 = (s6 + (1 << 20)) >> 21; s7 += carry6; s6 -= carry6 << 21; carry8 = (s8 + (1 << 20)) >> 21; s9 += carry8; s8 -= carry8 << 21; carry10 = (s10 + (1 << 20)) >> 21; s11 += carry10; s10 -= carry10 << 21; carry12 = (s12 + (1 << 20)) >> 21; s13 += carry12; s12 -= carry12 << 21; carry14 = (s14 + (1 << 20)) >> 21; s15 += carry14; s14 -= carry14 << 21; carry16 = (s16 + (1 << 20)) >> 21; s17 += carry16; s16 -= carry16 << 21; carry7 = (s7 + (1 << 20)) >> 21; s8 += carry7; s7 -= carry7 << 21; carry9 = (s9 + (1 << 20)) >> 21; s10 += carry9; s9 -= carry9 << 21; carry11 = (s11 + (1 << 20)) >> 21; s12 += carry11; s11 -= carry11 << 21; carry13 = (s13 + (1 << 20)) >> 21; s14 += carry13; s13 -= carry13 << 21; carry15 = (s15 + (1 << 20)) >> 21; s16 += carry15; s15 -= carry15 << 21; /** Continue with above procedure. */ s5 += s17 * 666643; s6 += s17 * 470296; s7 += s17 * 654183; s8 -= s17 * 997805; s9 += s17 * 136657; s10 -= s17 * 683901; // not used again // s17 = 0; s4 += s16 * 666643; s5 += s16 * 470296; s6 += s16 * 654183; s7 -= s16 * 997805; s8 += s16 * 136657; s9 -= s16 * 683901; // not used again // s16 = 0; s3 += s15 * 666643; s4 += s15 * 470296; s5 += s15 * 654183; s6 -= s15 * 997805; s7 += s15 * 136657; s8 -= s15 * 683901; // not used again // s15 = 0; s2 += s14 * 666643; s3 += s14 * 470296; s4 += s14 * 654183; s5 -= s14 * 997805; s6 += s14 * 136657; s7 -= s14 * 683901; // not used again // s14 = 0; s1 += s13 * 666643; s2 += s13 * 470296; s3 += s13 * 654183; s4 -= s13 * 997805; s5 += s13 * 136657; s6 -= s13 * 683901; // not used again // s13 = 0; s0 += s12 * 666643; s1 += s12 * 470296; s2 += s12 * 654183; s3 -= s12 * 997805; s4 += s12 * 136657; s5 -= s12 * 683901; // set below // s12 = 0; /** Reduce coefficients again. */ carry0 = (s0 + (1 << 20)) >> 21; s1 += carry0; s0 -= carry0 << 21; carry2 = (s2 + (1 << 20)) >> 21; s3 += carry2; s2 -= carry2 << 21; carry4 = (s4 + (1 << 20)) >> 21; s5 += carry4; s4 -= carry4 << 21; carry6 = (s6 + (1 << 20)) >> 21; s7 += carry6; s6 -= carry6 << 21; carry8 = (s8 + (1 << 20)) >> 21; s9 += carry8; s8 -= carry8 << 21; carry10 = (s10 + (1 << 20)) >> 21; s11 += carry10; s10 -= carry10 << 21; carry1 = (s1 + (1 << 20)) >> 21; s2 += carry1; s1 -= carry1 << 21; carry3 = (s3 + (1 << 20)) >> 21; s4 += carry3; s3 -= carry3 << 21; carry5 = (s5 + (1 << 20)) >> 21; s6 += carry5; s5 -= carry5 << 21; carry7 = (s7 + (1 << 20)) >> 21; s8 += carry7; s7 -= carry7 << 21; carry9 = (s9 + (1 << 20)) >> 21; s10 += carry9; s9 -= carry9 << 21; // carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; carry11 = (s11 + (1 << 20)) >> 21; s12 = carry11; s11 -= carry11 << 21; s0 += s12 * 666643; s1 += s12 * 470296; s2 += s12 * 654183; s3 -= s12 * 997805; s4 += s12 * 136657; s5 -= s12 * 683901; // set below // s12 = 0; carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; // carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; carry11 = s11 >> 21; s12 = carry11; s11 -= carry11 << 21; // TODO-CR BR: Is it really needed to do it TWO times? (it doesn't hurt, just a question). s0 += s12 * 666643; s1 += s12 * 470296; s2 += s12 * 654183; s3 -= s12 * 997805; s4 += s12 * 136657; s5 -= s12 * 683901; // not used again // s12 = 0; carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; // s0, ..., s11 got 21 bits each. byte[] result = new byte[32]; result[0] = (byte) s0; result[1] = (byte) (s0 >> 8); result[2] = (byte) ((s0 >> 16) | (s1 << 5)); result[3] = (byte) (s1 >> 3); result[4] = (byte) (s1 >> 11); result[5] = (byte) ((s1 >> 19) | (s2 << 2)); result[6] = (byte) (s2 >> 6); result[7] = (byte) ((s2 >> 14) | (s3 << 7)); result[8] = (byte) (s3 >> 1); result[9] = (byte) (s3 >> 9); result[10] = (byte) ((s3 >> 17) | (s4 << 4)); result[11] = (byte) (s4 >> 4); result[12] = (byte) (s4 >> 12); result[13] = (byte) ((s4 >> 20) | (s5 << 1)); result[14] = (byte) (s5 >> 7); result[15] = (byte) ((s5 >> 15) | (s6 << 6)); result[16] = (byte) (s6 >> 2); result[17] = (byte) (s6 >> 10); result[18] = (byte) ((s6 >> 18) | (s7 << 3)); result[19] = (byte) (s7 >> 5); result[20] = (byte) (s7 >> 13); result[21] = (byte) s8; result[22] = (byte) (s8 >> 8); result[23] = (byte) ((s8 >> 16) | (s9 << 5)); result[24] = (byte) (s9 >> 3); result[25] = (byte) (s9 >> 11); result[26] = (byte) ((s9 >> 19) | (s10 << 2)); result[27] = (byte) (s10 >> 6); result[28] = (byte) ((s10 >> 14) | (s11 << 7)); result[29] = (byte) (s11 >> 1); result[30] = (byte) (s11 >> 9); result[31] = (byte) (s11 >> 17); return result; - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - src/main/java/org/mariadb/jdbc/internal/com/send/authentication/ed25519/math/ed25519/ScalarOps.java [625:930]: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - s11 += s23 * 666643; s12 += s23 * 470296; s13 += s23 * 654183; s14 -= s23 * 997805; s15 += s23 * 136657; s16 -= s23 * 683901; // not used again // s23 = 0; s10 += s22 * 666643; s11 += s22 * 470296; s12 += s22 * 654183; s13 -= s22 * 997805; s14 += s22 * 136657; s15 -= s22 * 683901; // not used again // s22 = 0; s9 += s21 * 666643; s10 += s21 * 470296; s11 += s21 * 654183; s12 -= s21 * 997805; s13 += s21 * 136657; s14 -= s21 * 683901; // not used again // s21 = 0; s8 += s20 * 666643; s9 += s20 * 470296; s10 += s20 * 654183; s11 -= s20 * 997805; s12 += s20 * 136657; s13 -= s20 * 683901; // not used again // s20 = 0; s7 += s19 * 666643; s8 += s19 * 470296; s9 += s19 * 654183; s10 -= s19 * 997805; s11 += s19 * 136657; s12 -= s19 * 683901; // not used again // s19 = 0; s6 += s18 * 666643; s7 += s18 * 470296; s8 += s18 * 654183; s9 -= s18 * 997805; s10 += s18 * 136657; s11 -= s18 * 683901; // not used again // s18 = 0; carry6 = (s6 + (1 << 20)) >> 21; s7 += carry6; s6 -= carry6 << 21; carry8 = (s8 + (1 << 20)) >> 21; s9 += carry8; s8 -= carry8 << 21; carry10 = (s10 + (1 << 20)) >> 21; s11 += carry10; s10 -= carry10 << 21; carry12 = (s12 + (1 << 20)) >> 21; s13 += carry12; s12 -= carry12 << 21; carry14 = (s14 + (1 << 20)) >> 21; s15 += carry14; s14 -= carry14 << 21; carry16 = (s16 + (1 << 20)) >> 21; s17 += carry16; s16 -= carry16 << 21; carry7 = (s7 + (1 << 20)) >> 21; s8 += carry7; s7 -= carry7 << 21; carry9 = (s9 + (1 << 20)) >> 21; s10 += carry9; s9 -= carry9 << 21; carry11 = (s11 + (1 << 20)) >> 21; s12 += carry11; s11 -= carry11 << 21; carry13 = (s13 + (1 << 20)) >> 21; s14 += carry13; s13 -= carry13 << 21; carry15 = (s15 + (1 << 20)) >> 21; s16 += carry15; s15 -= carry15 << 21; s5 += s17 * 666643; s6 += s17 * 470296; s7 += s17 * 654183; s8 -= s17 * 997805; s9 += s17 * 136657; s10 -= s17 * 683901; // not used again // s17 = 0; s4 += s16 * 666643; s5 += s16 * 470296; s6 += s16 * 654183; s7 -= s16 * 997805; s8 += s16 * 136657; s9 -= s16 * 683901; // not used again // s16 = 0; s3 += s15 * 666643; s4 += s15 * 470296; s5 += s15 * 654183; s6 -= s15 * 997805; s7 += s15 * 136657; s8 -= s15 * 683901; // not used again // s15 = 0; s2 += s14 * 666643; s3 += s14 * 470296; s4 += s14 * 654183; s5 -= s14 * 997805; s6 += s14 * 136657; s7 -= s14 * 683901; // not used again // s14 = 0; s1 += s13 * 666643; s2 += s13 * 470296; s3 += s13 * 654183; s4 -= s13 * 997805; s5 += s13 * 136657; s6 -= s13 * 683901; // not used again // s13 = 0; s0 += s12 * 666643; s1 += s12 * 470296; s2 += s12 * 654183; s3 -= s12 * 997805; s4 += s12 * 136657; s5 -= s12 * 683901; // set below // s12 = 0; carry0 = (s0 + (1 << 20)) >> 21; s1 += carry0; s0 -= carry0 << 21; carry2 = (s2 + (1 << 20)) >> 21; s3 += carry2; s2 -= carry2 << 21; carry4 = (s4 + (1 << 20)) >> 21; s5 += carry4; s4 -= carry4 << 21; carry6 = (s6 + (1 << 20)) >> 21; s7 += carry6; s6 -= carry6 << 21; carry8 = (s8 + (1 << 20)) >> 21; s9 += carry8; s8 -= carry8 << 21; carry10 = (s10 + (1 << 20)) >> 21; s11 += carry10; s10 -= carry10 << 21; carry1 = (s1 + (1 << 20)) >> 21; s2 += carry1; s1 -= carry1 << 21; carry3 = (s3 + (1 << 20)) >> 21; s4 += carry3; s3 -= carry3 << 21; carry5 = (s5 + (1 << 20)) >> 21; s6 += carry5; s5 -= carry5 << 21; carry7 = (s7 + (1 << 20)) >> 21; s8 += carry7; s7 -= carry7 << 21; carry9 = (s9 + (1 << 20)) >> 21; s10 += carry9; s9 -= carry9 << 21; // carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; carry11 = (s11 + (1 << 20)) >> 21; s12 = carry11; s11 -= carry11 << 21; s0 += s12 * 666643; s1 += s12 * 470296; s2 += s12 * 654183; s3 -= s12 * 997805; s4 += s12 * 136657; s5 -= s12 * 683901; // set below // s12 = 0; carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; // carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; carry11 = s11 >> 21; s12 = carry11; s11 -= carry11 << 21; s0 += s12 * 666643; s1 += s12 * 470296; s2 += s12 * 654183; s3 -= s12 * 997805; s4 += s12 * 136657; s5 -= s12 * 683901; // not used again // s12 = 0; carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; byte[] result = new byte[32]; result[0] = (byte) s0; result[1] = (byte) (s0 >> 8); result[2] = (byte) ((s0 >> 16) | (s1 << 5)); result[3] = (byte) (s1 >> 3); result[4] = (byte) (s1 >> 11); result[5] = (byte) ((s1 >> 19) | (s2 << 2)); result[6] = (byte) (s2 >> 6); result[7] = (byte) ((s2 >> 14) | (s3 << 7)); result[8] = (byte) (s3 >> 1); result[9] = (byte) (s3 >> 9); result[10] = (byte) ((s3 >> 17) | (s4 << 4)); result[11] = (byte) (s4 >> 4); result[12] = (byte) (s4 >> 12); result[13] = (byte) ((s4 >> 20) | (s5 << 1)); result[14] = (byte) (s5 >> 7); result[15] = (byte) ((s5 >> 15) | (s6 << 6)); result[16] = (byte) (s6 >> 2); result[17] = (byte) (s6 >> 10); result[18] = (byte) ((s6 >> 18) | (s7 << 3)); result[19] = (byte) (s7 >> 5); result[20] = (byte) (s7 >> 13); result[21] = (byte) s8; result[22] = (byte) (s8 >> 8); result[23] = (byte) ((s8 >> 16) | (s9 << 5)); result[24] = (byte) (s9 >> 3); result[25] = (byte) (s9 >> 11); result[26] = (byte) ((s9 >> 19) | (s10 << 2)); result[27] = (byte) (s10 >> 6); result[28] = (byte) ((s10 >> 14) | (s11 << 7)); result[29] = (byte) (s11 >> 1); result[30] = (byte) (s11 >> 9); result[31] = (byte) (s11 >> 17); return result; - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -