/* * Note 1: All the functions in this file guarantee only that the bottom 32-bits of the returned Int_64 are correct. * JavaScript is flakey when it comes to bit operations and a '1' in the highest order bit of a 32-bit number causes * it to be interpreted as a negative number per two's complement. * * Note 2: Per the ECMAScript spec, all JavaScript operations mask the shift amount by 0x1F. This results in weird * cases like 1 << 32 == 1 and 1 << 33 === 1 << 1 === 2 */ /** * Int_64 is a object for 2 32-bit numbers emulating a 64-bit number. */ export class Int_64 { /** * @param msint_32 The most significant 32-bits of a 64-bit number. * @param lsint_32 The least significant 32-bits of a 64-bit number. */ readonly highOrder: number; readonly lowOrder: number; constructor(msint_32: number, lsint_32: number) { this.highOrder = msint_32; this.lowOrder = lsint_32; } } /** * The 64-bit implementation of circular rotate left. * * This does not work for n >= 64 or n == 32 but those are never done. * * @param x The 64-bit integer argument. * @param n The number of bits to shift. * @returns `x` shifted left circularly by `n` bits. */ export function rotl_64(x: Int_64, n: number): Int_64 { let tmp; if (n > 32) { tmp = 64 - n; return new Int_64((x.lowOrder << n) | (x.highOrder >>> tmp), (x.highOrder << n) | (x.lowOrder >>> tmp)); } else if (0 !== n) { tmp = 32 - n; return new Int_64((x.highOrder << n) | (x.lowOrder >>> tmp), (x.lowOrder << n) | (x.highOrder >>> tmp)); } else { return x; } } /** * The 64-bit implementation of circular rotate right. * * This does not work for n >= 64, n == 32, or n == 0 but those are never done. * * @param x The 64-bit integer argument. * @param n The number of bits to shift. * @returns `x` shifted right circularly by `n` bits. */ function rotr_64(x: Int_64, n: number): Int_64 { let tmp; if (n < 32) { tmp = 32 - n; return new Int_64((x.highOrder >>> n) | (x.lowOrder << tmp), (x.lowOrder >>> n) | (x.highOrder << tmp)); } else { tmp = 64 - n; return new Int_64((x.lowOrder >>> n) | (x.highOrder << tmp), (x.highOrder >>> n) | (x.lowOrder << tmp)); } } /** * The 64-bit implementation of shift right. * * This does not work for n >= 32 but is only called for n < 32. * * @param x The 64-bit integer argument. * @param n The number of bits to shift. * @returns `x` shifted right by `n` bits */ function shr_64(x: Int_64, n: number): Int_64 { return new Int_64(x.highOrder >>> n, (x.lowOrder >>> n) | (x.highOrder << (32 - n))); } /** * The 64-bit implementation of the NIST specified Ch function. * * @param x The first 64-bit integer argument. * @param y The second 64-bit integer argument. * @param z The third 64-bit integer argument. * @returns The NIST specified output of the function. */ export function ch_64(x: Int_64, y: Int_64, z: Int_64): Int_64 { return new Int_64( (x.highOrder & y.highOrder) ^ (~x.highOrder & z.highOrder), (x.lowOrder & y.lowOrder) ^ (~x.lowOrder & z.lowOrder) ); } /** * The 64-bit implementation of the NIST specified Maj function. * * @param x The first 64-bit integer argument. * @param y The second 64-bit integer argument. * @param z The third 64-bit integer argument. * @returns The NIST specified output of the function. */ export function maj_64(x: Int_64, y: Int_64, z: Int_64): Int_64 { return new Int_64( (x.highOrder & y.highOrder) ^ (x.highOrder & z.highOrder) ^ (y.highOrder & z.highOrder), (x.lowOrder & y.lowOrder) ^ (x.lowOrder & z.lowOrder) ^ (y.lowOrder & z.lowOrder) ); } /** * The 64-bit implementation of the NIST specified Sigma0 function. * * @param x The 64-bit integer argument. * @returns The NIST specified output of the function. */ export function sigma0_64(x: Int_64): Int_64 { const rotr28 = rotr_64(x, 28), rotr34 = rotr_64(x, 34), rotr39 = rotr_64(x, 39); return new Int_64( rotr28.highOrder ^ rotr34.highOrder ^ rotr39.highOrder, rotr28.lowOrder ^ rotr34.lowOrder ^ rotr39.lowOrder ); } /** * Add two 64-bit integers. * * @param x The first 64-bit integer argument to be added. * @param y The second 64-bit integer argument to be added. * @returns The sum of `x` + `y`. */ export function safeAdd_64_2(x: Int_64, y: Int_64): Int_64 { let lsw, msw; lsw = (x.lowOrder & 0xffff) + (y.lowOrder & 0xffff); msw = (x.lowOrder >>> 16) + (y.lowOrder >>> 16) + (lsw >>> 16); const lowOrder = ((msw & 0xffff) << 16) | (lsw & 0xffff); lsw = (x.highOrder & 0xffff) + (y.highOrder & 0xffff) + (msw >>> 16); msw = (x.highOrder >>> 16) + (y.highOrder >>> 16) + (lsw >>> 16); const highOrder = ((msw & 0xffff) << 16) | (lsw & 0xffff); return new Int_64(highOrder, lowOrder); } /** * Add four 64-bit integers. * * @param a The first 64-bit integer argument to be added. * @param b The second 64-bit integer argument to be added. * @param c The third 64-bit integer argument to be added. * @param d The fouth 64-bit integer argument to be added. * @returns The sum of `a` + `b` + `c` + `d`. */ export function safeAdd_64_4(a: Int_64, b: Int_64, c: Int_64, d: Int_64): Int_64 { let lsw, msw; lsw = (a.lowOrder & 0xffff) + (b.lowOrder & 0xffff) + (c.lowOrder & 0xffff) + (d.lowOrder & 0xffff); msw = (a.lowOrder >>> 16) + (b.lowOrder >>> 16) + (c.lowOrder >>> 16) + (d.lowOrder >>> 16) + (lsw >>> 16); const lowOrder = ((msw & 0xffff) << 16) | (lsw & 0xffff); lsw = (a.highOrder & 0xffff) + (b.highOrder & 0xffff) + (c.highOrder & 0xffff) + (d.highOrder & 0xffff) + (msw >>> 16); msw = (a.highOrder >>> 16) + (b.highOrder >>> 16) + (c.highOrder >>> 16) + (d.highOrder >>> 16) + (lsw >>> 16); const highOrder = ((msw & 0xffff) << 16) | (lsw & 0xffff); return new Int_64(highOrder, lowOrder); } /** * Add five 64-bit integers. * * @param a The first 64-bit integer argument to be added. * @param b The second 64-bit integer argument to be added. * @param c The third 64-bit integer argument to be added. * @param d The fouth 64-bit integer argument to be added. * @param e The fifth 64-bit integer argument to be added. * @returns The sum of `a` + `b` + `c` + `d` + `e`. */ export function safeAdd_64_5(a: Int_64, b: Int_64, c: Int_64, d: Int_64, e: Int_64): Int_64 { let lsw, msw; lsw = (a.lowOrder & 0xffff) + (b.lowOrder & 0xffff) + (c.lowOrder & 0xffff) + (d.lowOrder & 0xffff) + (e.lowOrder & 0xffff); msw = (a.lowOrder >>> 16) + (b.lowOrder >>> 16) + (c.lowOrder >>> 16) + (d.lowOrder >>> 16) + (e.lowOrder >>> 16) + (lsw >>> 16); const lowOrder = ((msw & 0xffff) << 16) | (lsw & 0xffff); lsw = (a.highOrder & 0xffff) + (b.highOrder & 0xffff) + (c.highOrder & 0xffff) + (d.highOrder & 0xffff) + (e.highOrder & 0xffff) + (msw >>> 16); msw = (a.highOrder >>> 16) + (b.highOrder >>> 16) + (c.highOrder >>> 16) + (d.highOrder >>> 16) + (e.highOrder >>> 16) + (lsw >>> 16); const highOrder = ((msw & 0xffff) << 16) | (lsw & 0xffff); return new Int_64(highOrder, lowOrder); } /** * XORs two given arguments. * * @param a The first argument to be XORed. * @param b The second argument to be XORed. * @returns The The XOR `a` and `b` */ export function xor_64_2(a: Int_64, b: Int_64): Int_64 { return new Int_64(a.highOrder ^ b.highOrder, a.lowOrder ^ b.lowOrder); } /** * XORs five given arguments. * * @param a The first argument to be XORed. * @param b The second argument to be XORed. * @param c The third argument to be XORed. * @param d The fourth argument to be XORed. * @param e The fifth argument to be XORed. * @returns The XOR of `a`, `b`, `c`, `d`, and `e`. */ export function xor_64_5(a: Int_64, b: Int_64, c: Int_64, d: Int_64, e: Int_64): Int_64 { return new Int_64( a.highOrder ^ b.highOrder ^ c.highOrder ^ d.highOrder ^ e.highOrder, a.lowOrder ^ b.lowOrder ^ c.lowOrder ^ d.lowOrder ^ e.lowOrder ); } /** * The 64-bit implementation of the NIST specified Gamma1 function. * * @param x The 64-bit integer argument. * @returns The NIST specified output of the function. */ export function gamma1_64(x: Int_64): Int_64 { const rotr19 = rotr_64(x, 19), rotr61 = rotr_64(x, 61), shr6 = shr_64(x, 6); return new Int_64( rotr19.highOrder ^ rotr61.highOrder ^ shr6.highOrder, rotr19.lowOrder ^ rotr61.lowOrder ^ shr6.lowOrder ); } /** * The 64-bit implementation of the NIST specified Gamma0 function. * * @param x The 64-bit integer argument. * @returns The NIST specified output of the function. */ export function gamma0_64(x: Int_64): Int_64 { const rotr1 = rotr_64(x, 1), rotr8 = rotr_64(x, 8), shr7 = shr_64(x, 7); return new Int_64( rotr1.highOrder ^ rotr8.highOrder ^ shr7.highOrder, rotr1.lowOrder ^ rotr8.lowOrder ^ shr7.lowOrder ); } /** * The 64-bit implementation of the NIST specified Sigma1 function. * * @param x The 64-bit integer argument. * @returns The NIST specified output of the function. */ export function sigma1_64(x: Int_64): Int_64 { const rotr14 = rotr_64(x, 14), rotr18 = rotr_64(x, 18), rotr41 = rotr_64(x, 41); return new Int_64( rotr14.highOrder ^ rotr18.highOrder ^ rotr41.highOrder, rotr14.lowOrder ^ rotr18.lowOrder ^ rotr41.lowOrder ); }