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- /*
- * 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
- );
- }
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