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extra-bit

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The [bit] is a basic unit of information in information theory, computing.<br>

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// METHODS // ======= // Get integer with 1s of specified width in bits. function ones(w) { return (1 << w) - 1; } /** * Get bits at specified index. * @param x an int32 * @param i bit index * @param w bit width [1] */ export function get(x, i, w = 1) { return x >>> i & ones(w); } /** * Get bits as per mask. * @param x an int32 * @param m bit mask */ export function getAs(x, m) { return x & m; } /** * Set bits at specified index. * @param x an int32 * @param i bit index * @param v bit value [1] * @param w bit width [1] */ export function set(x, i, v = 1, w = 1) { return x & ~(ones(w) << i) | v << i; } /** * Set bits as per mask. * @param x an int32 * @param m bit mask * @param f bit value [1] */ export function setAs(x, m, f = 1) { return x & ~m | -f & m; } /** * Toggle bits at specified index. * @param x an int32 * @param i bit index * @param w bit width [1] */ export function toggle(x, i, w = 1) { return x ^ ones(w) << i; } /** * Toggle bits as per mask. * @param x an int32 * @param m bit mask */ export function toggleAs(x, m) { return x ^ m; } /** * Swap bit sequences at specified indices. * @param x an int32 * @param i first bit index * @param j second bit index * @param w bit width [1] */ export function swap(x, i, j, w = 1) { const t = (x >>> i ^ x >>> j) & ones(w); return x ^ (t << i | t << j); } const MOD37_POS32 = [ 32, 0, 1, 26, 2, 23, 27, 0, 3, 16, 24, 30, 28, 11, 0, 13, 4, 7, 17, 0, 25, 22, 31, 15, 29, 10, 12, 6, 0, 21, 14, 9, 5, 20, 8, 19, 18 ]; /** * Find index of first set bit from LSB. * @param x an int32 */ export function scan(x) { return MOD37_POS32[(-x & x) % 37]; } const DEBRUIJN_POS32 = [ 0, 9, 1, 10, 13, 21, 2, 29, 11, 14, 16, 18, 22, 25, 3, 30, 8, 12, 20, 28, 15, 17, 24, 7, 19, 27, 23, 6, 26, 5, 4, 31 ]; /** * Find index of first set bit from MSB. * @param x an int32 */ export function scanReverse(x) { x |= x >>> 1; x |= x >>> 2; x |= x >>> 4; x |= x >>> 8; x |= x >>> 16; return DEBRUIJN_POS32[x * 0x07C4ACDD >>> 27]; } /** * Count bits set. * @param x an int32 */ export function count(x) { x = x - (x >>> 1 & 0x55555555); x = (x & 0x33333333) + (x >>> 2 & 0x33333333); return (x + (x >>> 4) & 0x0F0F0F0F) * 0x01010101 >>> 24; } // Calculate 1-bit parity. function parity1(x) { x ^= x >>> 16; x ^= x >>> 8; x ^= x >>> 4; x &= 0xF; return 0x6996 >>> x & 1; } /** * Calculate n-bit parity. * @param x an int32 * @param n number of bits [1] */ export function parity(x, n = 1) { if (n === 1) return parity1(x); const m = (1 << n) - 1; let a = 0 | 0; while(x){ a ^= x & m; x >>>= n; } return a; } /** * Rotate bits by a certain amount. * @param x an int32 * @param n rotate amount (+ve: left, -ve: right) */ export function rotate(x, n = 0) { return n < 0 ? x << 32 + n | x >>> -n : x << n | x >> 32 - n; } /** * Reverse all bits. * @param x an int32 */ export function reverse(x) { x = x >>> 1 & 0x55555555 | (x & 0x55555555) << 1; x = x >>> 2 & 0x33333333 | (x & 0x33333333) << 2; x = x >>> 4 & 0x0F0F0F0F | (x & 0x0F0F0F0F) << 4; x = x >>> 8 & 0x00FF00FF | (x & 0x00FF00FF) << 8; return x >>> 16 | x << 16; } /** * Merge bits as per mask. * @param x first int32 * @param y second int32 * @param m bit mask (0 ⇒ from x) */ export function merge(x, y, m) { return x ^ (x ^ y) & m; } /** * Interleave bits of two int16s. * @param x first int16 * @param y second int16 * @returns int32 */ export function interleave(x, y) { x = (x | x << 8) & 0x00FF00FF; x = (x | x << 4) & 0x0F0F0F0F; x = (x | x << 2) & 0x33333333; x = (x | x << 1) & 0x55555555; y = (y | y << 8) & 0x00FF00FF; y = (y | y << 4) & 0x0F0F0F0F; y = (y | y << 2) & 0x33333333; y = (y | y << 1) & 0x55555555; return y | x << 1; } /** * Sign extend variable bit-width integer. * @param x variable bit-width integer * @param w bit width (32) */ export function signExtend(x, w = 32) { w = 32 - w; return x << w >> w; } //# sourceMappingURL=data:application/json;base64,{"version":3,"sources":["file:///home/runner/work/extra-bit/extra-bit/index.ts"],"sourcesContent":["// METHODS\n// =======\n\n// Get integer with 1s of specified width in bits.\nfunction ones(w: number) {\n  return (1<<w) - 1;\n}\n\n\n/**\n * Get bits at specified index.\n * @param x an int32\n * @param i bit index\n * @param w bit width [1]\n */\nexport function get(x: number, i: number, w: number=1): number {\n  return (x>>>i) & ones(w);\n}\n\n\n/**\n * Get bits as per mask.\n * @param x an int32\n * @param m bit mask\n */\nexport function getAs(x: number, m: number): number {\n  return x & m;\n}\n\n\n/**\n * Set bits at specified index.\n * @param x an int32\n * @param i bit index\n * @param v bit value [1]\n * @param w bit width [1]\n */\nexport function set(x: number, i: number, v: number=1, w: number=1): number {\n  return (x & ~(ones(w)<<i)) | (v<<i);\n}\n\n\n/**\n * Set bits as per mask.\n * @param x an int32\n * @param m bit mask\n * @param f bit value [1]\n */\nexport function setAs(x: number, m: number, f: number=1): number {\n  return (x & ~m) | (-f & m);\n}\n\n\n/**\n * Toggle bits at specified index.\n * @param x an int32\n * @param i bit index\n * @param w bit width [1]\n */\nexport function toggle(x: number, i: number, w: number=1): number {\n  return x ^ (ones(w)<<i);\n}\n\n\n/**\n * Toggle bits as per mask.\n * @param x an int32\n * @param m bit mask\n */\nexport function toggleAs(x: number, m: number): number {\n  return x ^ m;\n}\n\n\n/**\n * Swap bit sequences at specified indices.\n * @param x an int32\n * @param i first bit index\n * @param j second bit index\n * @param w bit width [1]\n */\nexport function swap(x: number, i: number, j: number, w: number=1): number {\n  const t = ((x>>>i)^(x>>>j)) & ones(w);\n  return x ^ ((t<<i)|(t<<j));\n}\n\n\nconst MOD37_POS32: number[] = [\n  32, 0, 1, 26, 2, 23, 27, 0, 3, 16, 24, 30, 28, 11, 0, 13, 4, 7, 17, 0,\n  25, 22, 31, 15, 29, 10, 12, 6, 0, 21, 14, 9, 5, 20, 8, 19, 18\n];\n\n\n/**\n * Find index of first set bit from LSB.\n * @param x an int32\n */\nexport function scan(x: number): number {\n  return MOD37_POS32[(-x & x) % 37];\n}\n\n\nconst DEBRUIJN_POS32: number[] = [\n  0,  9,  1, 10, 13, 21,  2, 29, 11, 14, 16, 18, 22, 25,  3, 30,\n  8, 12, 20, 28, 15, 17, 24,  7, 19, 27, 23,  6, 26,  5,  4, 31\n];\n\n\n/**\n * Find index of first set bit from MSB.\n * @param x an int32\n */\nexport function scanReverse(x: number): number {\n  x |= x>>>1;\n  x |= x>>>2;\n  x |= x>>>4;\n  x |= x>>>8;\n  x |= x>>>16;\n  return DEBRUIJN_POS32[(x*0x07C4ACDD)>>>27];\n}\n\n\n/**\n * Count bits set.\n * @param x an int32\n */\nexport function count(x: number): number {\n  x = x - ((x>>>1) & 0x55555555);\n  x = (x & 0x33333333) + ((x>>>2) & 0x33333333);\n  return ((x + (x>>>4) & 0x0F0F0F0F) * 0x01010101)>>>24;\n}\n\n\n// Calculate 1-bit parity.\nfunction parity1(x: number): number {\n  x ^= x>>>16;\n  x ^= x>>>8;\n  x ^= x>>>4;\n  x &= 0xF;\n  return (0x6996>>>x) & 1;\n}\n\n/**\n * Calculate n-bit parity.\n * @param x an int32\n * @param n number of bits [1]\n */\nexport function parity(x: number, n: number=1): number {\n  if (n===1) return parity1(x);\n  const m = (1<<n)-1; let a = 0|0;\n  while (x) {\n    a ^= x&m;\n    x >>>= n;\n  }\n  return a;\n}\n\n\n/**\n * Rotate bits by a certain amount.\n * @param x an int32\n * @param n rotate amount (+ve: left, -ve: right)\n */\nexport function rotate(x: number, n: number=0): number {\n  return n<0? x<<32+n | x>>>-n : x<<n | x>>32-n;\n}\n\n\n/**\n * Reverse all bits.\n * @param x an int32\n */\nexport function reverse(x: number): number {\n  x = ((x>>>1) & 0x55555555) | ((x & 0x55555555)<<1);\n  x = ((x>>>2) & 0x33333333) | ((x & 0x33333333)<<2);\n  x = ((x>>>4) & 0x0F0F0F0F) | ((x & 0x0F0F0F0F)<<4);\n  x = ((x>>>8) & 0x00FF00FF) | ((x & 0x00FF00FF)<<8);\n  return (x>>>16) | (x<<16);\n}\n\n\n/**\n * Merge bits as per mask.\n * @param x first int32\n * @param y second int32\n * @param m bit mask (0 ⇒ from x)\n */\nexport function merge(x: number, y: number, m: number): number {\n  return x ^ ((x^y) & m);\n}\n\n\n/**\n * Interleave bits of two int16s.\n * @param x first int16\n * @param y second int16\n * @returns int32\n */\nexport function interleave(x: number, y: number): number {\n  x = (x | (x<<8)) & 0x00FF00FF;\n  x = (x | (x<<4)) & 0x0F0F0F0F;\n  x = (x | (x<<2)) & 0x33333333;\n  x = (x | (x<<1)) & 0x55555555;\n  y = (y | (y<<8)) & 0x00FF00FF;\n  y = (y | (y<<4)) & 0x0F0F0F0F;\n  y = (y | (y<<2)) & 0x33333333;\n  y = (y | (y<<1)) & 0x55555555;\n  return y | (x<<1);\n}\n\n\n/**\n * Sign extend variable bit-width integer.\n * @param x variable bit-width integer\n * @param w bit width (32)\n */\nexport function signExtend(x: number, w: number=32): number {\n  w = 32-w;\n  return (x<<w)>>w;\n}\n"],"names":[],"mappings":"AAAA,UAAU;AACV,UAAU;AAEV,kDAAkD;AAClD,SAAS,KAAK,CAAS;EACrB,OAAO,CAAC,KAAG,CAAC,IAAI;AAClB;AAGA;;;;;CAKC,GACD,OAAO,SAAS,IAAI,CAAS,EAAE,CAAS,EAAE,IAAU,CAAC;EACnD,OAAO,AAAC,MAAI,IAAK,KAAK;AACxB;AAGA;;;;CAIC,GACD,OAAO,SAAS,MAAM,CAAS,EAAE,CAAS;EACxC,OAAO,IAAI;AACb;AAGA;;;;;;CAMC,GACD,OAAO,SAAS,IAAI,CAAS,EAAE,CAAS,EAAE,IAAU,CAAC,EAAE,IAAU,CAAC;EAChE,OAAO,AAAC,IAAI,CAAC,CAAC,KAAK,MAAI,CAAC,IAAM,KAAG;AACnC;AAGA;;;;;CAKC,GACD,OAAO,SAAS,MAAM,CAAS,EAAE,CAAS,EAAE,IAAU,CAAC;EACrD,OAAO,AAAC,IAAI,CAAC,IAAM,CAAC,IAAI;AAC1B;AAGA;;;;;CAKC,GACD,OAAO,SAAS,OAAO,CAAS,EAAE,CAAS,EAAE,IAAU,CAAC;EACtD,OAAO,IAAK,KAAK,MAAI;AACvB;AAGA;;;;CAIC,GACD,OAAO,SAAS,SAAS,CAAS,EAAE,CAAS;EAC3C,OAAO,IAAI;AACb;AAGA;;;;;;CAMC,GACD,OAAO,SAAS,KAAK,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,IAAU,CAAC;EAC/D,MAAM,IAAI,CAAC,AAAC,MAAI,IAAI,MAAI,CAAE,IAAI,KAAK;EACnC,OAAO,IAAI,CAAC,AAAC,KAAG,IAAI,KAAG,CAAE;AAC3B;AAGA,MAAM,cAAwB;EAC5B;EAAI;EAAG;EAAG;EAAI;EAAG;EAAI;EAAI;EAAG;EAAG;EAAI;EAAI;EAAI;EAAI;EAAI;EAAG;EAAI;EAAG;EAAG;EAAI;EACpE;EAAI;EAAI;EAAI;EAAI;EAAI;EAAI;EAAI;EAAG;EAAG;EAAI;EAAI;EAAG;EAAG;EAAI;EAAG;EAAI;CAC5D;AAGD;;;CAGC,GACD,OAAO,SAAS,KAAK,CAAS;EAC5B,OAAO,WAAW,CAAC,CAAC,CAAC,IAAI,CAAC,IAAI,GAAG;AACnC;AAGA,MAAM,iBAA2B;EAC/B;EAAI;EAAI;EAAG;EAAI;EAAI;EAAK;EAAG;EAAI;EAAI;EAAI;EAAI;EAAI;EAAI;EAAK;EAAG;EAC3D;EAAG;EAAI;EAAI;EAAI;EAAI;EAAI;EAAK;EAAG;EAAI;EAAI;EAAK;EAAG;EAAK;EAAI;EAAG;CAC5D;AAGD;;;CAGC,GACD,OAAO,SAAS,YAAY,CAAS;EACnC,KAAK,MAAI;EACT,KAAK,MAAI;EACT,KAAK,MAAI;EACT,KAAK,MAAI;EACT,KAAK,MAAI;EACT,OAAO,cAAc,CAAC,AAAC,IAAE,eAAc,GAAG;AAC5C;AAGA;;;CAGC,GACD,OAAO,SAAS,MAAM,CAAS;EAC7B,IAAI,IAAI,CAAC,AAAC,MAAI,IAAK,UAAU;EAC7B,IAAI,CAAC,IAAI,UAAU,IAAI,CAAC,AAAC,MAAI,IAAK,UAAU;EAC5C,OAAO,AAAC,CAAC,IAAI,CAAC,MAAI,CAAC,IAAI,UAAU,IAAI,eAAc;AACrD;AAGA,0BAA0B;AAC1B,SAAS,QAAQ,CAAS;EACxB,KAAK,MAAI;EACT,KAAK,MAAI;EACT,KAAK,MAAI;EACT,KAAK;EACL,OAAO,AAAC,WAAS,IAAK;AACxB;AAEA;;;;CAIC,GACD,OAAO,SAAS,OAAO,CAAS,EAAE,IAAU,CAAC;EAC3C,IAAI,MAAI,GAAG,OAAO,QAAQ;EAC1B,MAAM,IAAI,CAAC,KAAG,CAAC,IAAE;EAAG,IAAI,IAAI,IAAE;EAC9B,MAAO,EAAG;IACR,KAAK,IAAE;IACP,OAAO;EACT;EACA,OAAO;AACT;AAGA;;;;CAIC,GACD,OAAO,SAAS,OAAO,CAAS,EAAE,IAAU,CAAC;EAC3C,OAAO,IAAE,IAAG,KAAG,KAAG,IAAI,MAAI,CAAC,IAAI,KAAG,IAAI,KAAG,KAAG;AAC9C;AAGA;;;CAGC,GACD,OAAO,SAAS,QAAQ,CAAS;EAC/B,IAAI,AAAE,MAAI,IAAK,aAAe,CAAC,IAAI,UAAU,KAAG;EAChD,IAAI,AAAE,MAAI,IAAK,aAAe,CAAC,IAAI,UAAU,KAAG;EAChD,IAAI,AAAE,MAAI,IAAK,aAAe,CAAC,IAAI,UAAU,KAAG;EAChD,IAAI,AAAE,MAAI,IAAK,aAAe,CAAC,IAAI,UAAU,KAAG;EAChD,OAAO,AAAC,MAAI,KAAO,KAAG;AACxB;AAGA;;;;;CAKC,GACD,OAAO,SAAS,MAAM,CAAS,EAAE,CAAS,EAAE,CAAS;EACnD,OAAO,IAAK,CAAC,IAAE,CAAC,IAAI;AACtB;AAGA;;;;;CAKC,GACD,OAAO,SAAS,WAAW,CAAS,EAAE,CAAS;EAC7C,IAAI,CAAC,IAAK,KAAG,CAAE,IAAI;EACnB,IAAI,CAAC,IAAK,KAAG,CAAE,IAAI;EACnB,IAAI,CAAC,IAAK,KAAG,CAAE,IAAI;EACnB,IAAI,CAAC,IAAK,KAAG,CAAE,IAAI;EACnB,IAAI,CAAC,IAAK,KAAG,CAAE,IAAI;EACnB,IAAI,CAAC,IAAK,KAAG,CAAE,IAAI;EACnB,IAAI,CAAC,IAAK,KAAG,CAAE,IAAI;EACnB,IAAI,CAAC,IAAK,KAAG,CAAE,IAAI;EACnB,OAAO,IAAK,KAAG;AACjB;AAGA;;;;CAIC,GACD,OAAO,SAAS,WAAW,CAAS,EAAE,IAAU,EAAE;EAChD,IAAI,KAAG;EACP,OAAO,AAAC,KAAG,KAAI;AACjB"}