{"version":3,"sources":["~lib/rt/common.ts","src/wasm/texture-processor.ts","~lib/util/math.ts","~lib/util/number.ts","~lib/util/string.ts","~lib/math.ts","~lib/memory.ts","~lib/rt/stub.ts","~lib/util/error.ts"],"names":[],"mappings":"4TOqEuB,EAAM,EAAN,C,EAAd,GAAP,E,cAE0B,EAAtB,EAD0B,EAAM,EAAxB,CAAZ,E,GACI,EAAJ,EACW,EAAT,G,MAxCE,EAAO,MAAP,CAAJ,EAA0C,G,WAEhC,EAAS,EAAT,CAAV,EAC8B,E,EATrB,CAAmC,EAApC,CAAgD,EAAjD,CASP,EACgB,CAtBZ,EAFc,EAAlB,EACwC,EAAtB,CAA4B,EAA7B,CAAwC,EAAzC,CAAhB,EACI,CAAJ,EAEwB,EADI,EAAY,EAAZ,CAAwB,IAAxB,CAAkC,IAAnC,CAAgD,EAAvD,CAAlB,E,KACkB,CACd,EAA2B,EAA3B,CAAJ,EACkB,EAAZ,EAA2B,EAA3B,CAAJ,EAAkC,IAe1B,EAZH,EAAT,EAgBe,E,GACR,E,KFg3CA,EAAD,CAAJ,EATwB,WASwB,EAAjB,CAT3B,KAAJ,CACmB,EAAnB,EACgC,E,EAAD,CAAZ,EAAnB,EAGgB,EAAhB,GAKS,EAAT,EACS,EAAT,EACA,EACA,EAAM,EAAM,EAAN,C,CAAN,IACY,EAAN,CACN,CAAM,EACN,CAAM,EAAM,EAAN,CACa,CAAnB,EACS,EAAM,EAAN,CAAY,UAAb,CACD,CAAsB,SAAtB,C,GAjhCT,EAAK,EAAK,EAAL,CACL,CAAK,U,CAAL,EACU,EAAL,CADL,EAEA,CAAK,U,CAAL,EACU,EAAL,CADL,EAEO,C,QJzXe,EAAc,EAAd,CAAtB,E,EAEgB,EAAI,EAAJ,C,EACwB,EAAI,EAAJ,GAAf,GAAvB,EAEQ,EAAJ,GAAJ,EAEqB,EAAe,EAAf,CAAnB,EACU,GAAV,EACoB,EAAV,GAAV,EACoB,EAAV,GAAV,EAC2B,EAAV,GAAjB,EAGW,EAA8C,E,QAAT,CAAD,EAAmB,EAAgB,SAAhB,CAAsB,S,CAA1B,EAAiC,GAA/F,GACW,EAA8C,E,QAAT,CAAD,EAAmB,EAAgB,SAAhB,CAAsB,S,CAA1B,EAAiC,GAA/F,GACW,EAA8C,E,QAAT,CAAD,EAAmB,EAAgB,SAAhB,CAAsB,S,CAA1B,EAAiC,GAA/F,GACW,EAAoC,EAA/C,IAIW,EADK,EAAc,KAAd,CAAhB,EACA,GACW,EAAoC,EAA/C,GACW,EAAoC,EAA/C,GACW,EAAoC,KAA/C,IAtB+B,E,GAAA,E,YA0Cb,EAAc,EAAd,CAAtB,E,EAIgB,EAAI,EAAJ,C,EACuB,EAAI,EAAJ,GAAlB,GAAnB,EAI2C,KAA3C,GACW,EAAgC,KAA3C,GACW,EAAgC,KAA3C,GACW,EAAgC,KAA3C,GANoB,EAAuB,EAAvB,CAApB,EAO4C,KAA5C,GACW,EAAiC,KAA5C,GACW,EAAiC,KAA5C,GACW,EAAiC,KAA5C,GAZiC,E,GAAA,E,IAe/B,EAAc,EAAd,CAAJ,EACS,EAAP,EAGe,EAAa,EAAb,CAAjB,EACwB,EAAxB,EACmC,EAAX,EAAxB,EAC8B,EAAX,EAAnB,EAEa,EAAR,E,EAAe,EAAJ,G,EACC,EAAI,EAAJ,CAAf,EACW,GAA0B,EAArC,GAC6B,EAAlB,GAA0B,EAArC,GACwB,EAAb,GAAqB,EAAhC,GAJ8B,E,GAAA,E,MAOZ,EAAJ,G,EACS,EAAe,EAAI,EAAJ,CAAf,CAAvB,EACoB,GAApB,EAC8B,EAAV,GAApB,EAMgB,EAAd,CAHA,EAAe,EAAf,C,EAAA,EACc,EAAd,G,KADA,EAEA,EAAe,EAAf,C,OAFA,C,EASmB,EAAc,EAAd,CACV,KAA0C,EAAV,GAA4C,EAA5C,CAA3C,GAEI,EAAe,EAAf,CAAJ,EACuB,EAAc,EAAd,CACV,KAA0C,EAAV,GAA4C,EAA5C,CAA3C,KApB4B,E,GAAA,E,IAwBT,EAAvB,EACa,EAAR,E,EAAe,EAAJ,G,EACK,EAAI,EAAJ,CAAnB,EACwB,GAAV,GAAd,EAGW,EAAkB,EAAlB,CAFG,EAAd,EAEA,GACW,EAAa,EAAb,CAAyB,EAApC,GACA,EAAoB,E,CAApB,EAEoB,EAAuB,EAAI,EAAJ,CAAvB,CAApB,E,EAC4C,CAA5C,GACW,E,EAAiC,CAA5C,GAX8B,E,GAAA,E,IAc5B,EAAmB,EAAnB,CAAJ,EACY,EKpCV,ELqCU,EKrCV,ELsCU,EKtCV,ELuCO,EAAP,E,EA7EmB,CAArB,E,EAgFoB,EAAJ,G,EACS,EAAe,EAAI,EAAJ,CAAf,CAAvB,EACoB,GAApB,EAC8B,EAAV,GAApB,EAMgB,EAAd,CAHA,EAAe,EAAf,C,EAAA,EACc,EAAd,G,KADA,EAEA,EAAe,EAAf,C,OAFA,C,EASmB,EAAc,EAAd,CACQ,KAAV,GAAnB,EACW,EAA2B,EAAe,EAAf,CAAtC,GAEiB,EAAkB,EAAe,EAAf,CAAlB,CAAjB,EAC+C,EAAc,E,CAAlB,CAAiC,EAAjC,GAA3C,GACW,EAAoC,EAAc,E,CAAlB,CAAiC,EAAjC,GAA3C,GACW,EAAoC,EAAc,E,CAAlB,CAAiC,EAAjC,GAA3C,GACW,EAAoC,EAAc,E,CAAlB,CAAiC,EAAjC,GAA3C,GAEI,EAAe,EAAf,CAAJ,EACuB,EAAc,EAAd,CACQ,KAAV,GAAnB,EACW,EAA2B,EAAe,EAAf,CAAtC,GAEa,EAAkB,EAAe,EAAf,CAAlB,CAAb,EAC2C,EAA3C,GACW,EAAgC,EAA3C,GACW,EAAgC,EAA3C,GACW,EAAgC,EAA3C,KAlC4B,E,GAAA,E,IAsCtB,EKhFR,ELiFQ,EKjFR,ELkFQ,EKlFR,ELoFK,E,WAyBc,EAAc,EAAY,EAAa,EAAc,EAA1E,EAEE,EACA,EACA,EACA,EACA,EACA,EANK,E,GAgCI,EAAgB,EAApB,C,GARG,EKtIR,E,GL8HgB,EAAX,E","sourceRoot":"./texture-processor","sourcesContent":["// Alignment guarantees\n\n// @ts-ignore: decorator\n@inline export const AL_BITS: u32 = 4; // 16 bytes to fit up to v128\n// @ts-ignore: decorator\n@inline export const AL_SIZE: usize = 1 << <usize>AL_BITS;\n// @ts-ignore: decorator\n@inline export const AL_MASK: usize = AL_SIZE - 1;\n\n// Extra debugging\n\n// @ts-ignore: decorator\n@inline export const DEBUG = true;\n// @ts-ignore: decorator\n@inline export const TRACE = false;\n// @ts-ignore: decorator\n@inline export const RTRACE = isDefined(ASC_RTRACE);\n// @ts-ignore: decorator\n@inline export const PROFILE = isDefined(ASC_PROFILE);\n\n// Memory manager\n\n// ╒════════════ Memory manager block layout (32-bit) ═════════════╕\n//    3                   2                   1\n//  1 0 9 8 7 6 5 4 3 2 1 0 9 8 7 6 5 4 3 2 1 0 9 8 7 6 5 4 3 2 1 0  bits\n// ├─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┤\n// │                           MM info                             │ -4\n// ╞>ptr═══════════════════════════════════════════════════════════╡\n// │                              ...                              │\n@unmanaged export class BLOCK {\n  /** Memory manager info. */\n  mmInfo: usize;\n}\n\n/** Overhead of a memory manager block. */\n// @ts-ignore: decorator\n@inline export const BLOCK_OVERHEAD: usize = offsetof<BLOCK>();\n\n/** Maximum size of a memory manager block's payload. */\n// @ts-ignore: decorator\n@inline export const BLOCK_MAXSIZE: usize = (1 << 30) - BLOCK_OVERHEAD;\n\n// Garbage collector\n\n// ╒══════════ Garbage collector object layout (32-bit) ═══════════╕\n//    3                   2                   1\n//  1 0 9 8 7 6 5 4 3 2 1 0 9 8 7 6 5 4 3 2 1 0 9 8 7 6 5 4 3 2 1 0  bits\n// ├─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┤\n// │                     Memory manager block                      │ -20\n// ╞═══════════════════════════════════════════════════════════════╡\n// │                            GC info                            │ -16\n// ├───────────────────────────────────────────────────────────────┤\n// │                            GC info                            │ -12\n// ├───────────────────────────────────────────────────────────────┤\n// │                            RT id                              │ -8\n// ├───────────────────────────────────────────────────────────────┤\n// │                            RT size                            │ -4\n// ╞>ptr═══════════════════════════════════════════════════════════╡\n// │                              ...                              │\n@unmanaged export class OBJECT extends BLOCK {\n  /** Garbage collector info. */\n  gcInfo: u32;\n  /** Garbage collector info. */\n  gcInfo2: u32;\n  /** Runtime class id. */\n  rtId: u32;\n  /** Runtime object size. */\n  rtSize: u32;\n}\n\n/** Overhead of a garbage collector object. Excludes memory manager block overhead. */\n// @ts-ignore: decorator\n@inline export const OBJECT_OVERHEAD: usize = (offsetof<OBJECT>() - BLOCK_OVERHEAD + AL_MASK) & ~AL_MASK;\n\n/** Maximum size of a garbage collector object's payload. */\n// @ts-ignore: decorator\n@inline export const OBJECT_MAXSIZE: usize = BLOCK_MAXSIZE - OBJECT_OVERHEAD;\n\n/** Total of memory manager and garbage collector overhead. */\n// @ts-ignore: decorator\n@inline export const TOTAL_OVERHEAD: usize = BLOCK_OVERHEAD + OBJECT_OVERHEAD;\n","/**\n * AssemblyScript texture processor for Force Directed Graph\n * Handles high-performance texture data processing for GPU compute shaders\n */\n\n// Memory layout constants\nconst FLOAT32_BYTES = 4;\nconst RGBA_COMPONENTS = 4;\n\n// Export memory to be accessible from JavaScript\nexport declare const __heap_base: usize;\n\n/**\n * Process node positions into texture data\n * @param nodesDataPtr Pointer to serialized node data\n * @param nodesCount Number of nodes\n * @param textureSize Power-of-2 texture size\n * @param positionsPtr Pointer to output positions texture data\n * @param frustumSize Frustum size for out-of-bounds nodes\n */\nexport function processNodePositions(\n  nodesDataPtr: usize,\n  nodesCount: i32,\n  textureSize: i32,\n  positionsPtr: usize,\n  frustumSize: f32\n): void {\n  const totalElements = textureSize * textureSize;\n  \n  for (let i = 0; i < totalElements; i++) {\n    const positionOffset = positionsPtr + i * RGBA_COMPONENTS * FLOAT32_BYTES;\n    \n    if (i < nodesCount) {\n      // Read node data (x, y, z, isStatic) using direct memory access\n      const nodeOffset = nodesDataPtr + i * 4 * FLOAT32_BYTES;\n      const x = load<f32>(nodeOffset + 0 * FLOAT32_BYTES);\n      const y = load<f32>(nodeOffset + 1 * FLOAT32_BYTES);\n      const z = load<f32>(nodeOffset + 2 * FLOAT32_BYTES);\n      const isStatic = load<f32>(nodeOffset + 3 * FLOAT32_BYTES);\n      \n      // Use provided position or random fallback\n      store<f32>(positionOffset + 0 * FLOAT32_BYTES, !isFinite(x) ? f32(Math.random() * 2.0 - 1.0) : x);\n      store<f32>(positionOffset + 1 * FLOAT32_BYTES, !isFinite(y) ? f32(Math.random() * 2.0 - 1.0) : y);\n      store<f32>(positionOffset + 2 * FLOAT32_BYTES, !isFinite(z) ? f32(Math.random() * 2.0 - 1.0) : z);\n      store<f32>(positionOffset + 3 * FLOAT32_BYTES, isStatic);\n    } else {\n      // Place extraneous nodes far away\n      const farAway = frustumSize * 10.0;\n      store<f32>(positionOffset + 0 * FLOAT32_BYTES, farAway);\n      store<f32>(positionOffset + 1 * FLOAT32_BYTES, farAway);\n      store<f32>(positionOffset + 2 * FLOAT32_BYTES, farAway);\n      store<f32>(positionOffset + 3 * FLOAT32_BYTES, 0.0);\n    }\n  }\n}\n\n/**\n * Process links into texture data with UV coordinates\n * @param linksDataPtr Pointer to serialized link data (source, target indices)\n * @param linksCount Number of links\n * @param textureSize Power-of-2 texture size\n * @param linksTexturePtr Pointer to output links texture data\n */\nexport function processLinks(\n  linksDataPtr: usize,\n  linksCount: i32,\n  nodesCount: i32,\n  textureSize: i32,\n  linksTexturePtr: usize,\n  linkRangesTexturePtr: usize\n): i32 {\n  const totalElements = textureSize * textureSize;\n  const textureSizeF = f32(textureSize);\n  const texelStride = RGBA_COMPONENTS * FLOAT32_BYTES;\n\n  for (let i = 0; i < totalElements; i++) {\n    const linkOffset = linksTexturePtr + i * texelStride;\n    const rangeOffset = linkRangesTexturePtr + i * texelStride;\n\n    // Clear output textures before writing packed link data.\n    store<f32>(linkOffset + 0 * FLOAT32_BYTES, 0.0);\n    store<f32>(linkOffset + 1 * FLOAT32_BYTES, 0.0);\n    store<f32>(linkOffset + 2 * FLOAT32_BYTES, 0.0);\n    store<f32>(linkOffset + 3 * FLOAT32_BYTES, 0.0);\n    store<f32>(rangeOffset + 0 * FLOAT32_BYTES, 0.0);\n    store<f32>(rangeOffset + 1 * FLOAT32_BYTES, 0.0);\n    store<f32>(rangeOffset + 2 * FLOAT32_BYTES, 0.0);\n    store<f32>(rangeOffset + 3 * FLOAT32_BYTES, 0.0);\n  }\n\n  if (nodesCount <= 0) {\n    return 0;\n  }\n\n  const intsSize = nodesCount * FLOAT32_BYTES;\n  const degreeCountsPtr = heap.alloc(intsSize);\n  const startOffsetsPtr = heap.alloc(intsSize);\n  const cursorsPtr = heap.alloc(intsSize);\n\n  for (let i = 0; i < nodesCount; i++) {\n    const offset = i * FLOAT32_BYTES;\n    store<i32>(degreeCountsPtr + offset, 0);\n    store<i32>(startOffsetsPtr + offset, 0);\n    store<i32>(cursorsPtr + offset, 0);\n  }\n\n  for (let i = 0; i < linksCount; i++) {\n    const linkDataOffset = linksDataPtr + i * 2 * FLOAT32_BYTES;\n    const sourceIndex = load<i32>(linkDataOffset + 0 * FLOAT32_BYTES);\n    const targetIndex = load<i32>(linkDataOffset + 1 * FLOAT32_BYTES);\n\n    const isValid =\n      sourceIndex >= 0 &&\n      sourceIndex < nodesCount &&\n      targetIndex >= 0 &&\n      targetIndex < nodesCount;\n\n    if (!isValid) {\n      continue;\n    }\n\n    const sourceOffset = sourceIndex * FLOAT32_BYTES;\n    store<i32>(degreeCountsPtr + sourceOffset, load<i32>(degreeCountsPtr + sourceOffset) + 1);\n\n    if (sourceIndex != targetIndex) {\n      const targetOffset = targetIndex * FLOAT32_BYTES;\n      store<i32>(degreeCountsPtr + targetOffset, load<i32>(degreeCountsPtr + targetOffset) + 1);\n    }\n  }\n\n  let packedLinkAmount = 0;\n  for (let i = 0; i < nodesCount; i++) {\n    const nodeOffset = i * FLOAT32_BYTES;\n    const count = load<i32>(degreeCountsPtr + nodeOffset);\n    const start = packedLinkAmount;\n\n    store<i32>(startOffsetsPtr + nodeOffset, start);\n    store<i32>(cursorsPtr + nodeOffset, start);\n    packedLinkAmount += count;\n\n    const rangeOffset = linkRangesTexturePtr + i * texelStride;\n    store<f32>(rangeOffset + 0 * FLOAT32_BYTES, f32(start));\n    store<f32>(rangeOffset + 1 * FLOAT32_BYTES, f32(count));\n  }\n\n  if (packedLinkAmount > totalElements) {\n    heap.free(cursorsPtr);\n    heap.free(startOffsetsPtr);\n    heap.free(degreeCountsPtr);\n    return -1;\n  }\n\n  for (let i = 0; i < linksCount; i++) {\n    const linkDataOffset = linksDataPtr + i * 2 * FLOAT32_BYTES;\n    const sourceIndex = load<i32>(linkDataOffset + 0 * FLOAT32_BYTES);\n    const targetIndex = load<i32>(linkDataOffset + 1 * FLOAT32_BYTES);\n\n    const isValid =\n      sourceIndex >= 0 &&\n      sourceIndex < nodesCount &&\n      targetIndex >= 0 &&\n      targetIndex < nodesCount;\n\n    if (!isValid) {\n      continue;\n    }\n\n    const sourceOffset = sourceIndex * FLOAT32_BYTES;\n    let sourceCursor = load<i32>(cursorsPtr + sourceOffset);\n    store<i32>(cursorsPtr + sourceOffset, sourceCursor + 1);\n\n    let linkOffset = linksTexturePtr + sourceCursor * texelStride;\n    store<f32>(linkOffset + 0 * FLOAT32_BYTES, f32(sourceIndex % textureSize) / textureSizeF);\n    store<f32>(linkOffset + 1 * FLOAT32_BYTES, f32(sourceIndex / textureSize) / textureSizeF);\n    store<f32>(linkOffset + 2 * FLOAT32_BYTES, f32(targetIndex % textureSize) / textureSizeF);\n    store<f32>(linkOffset + 3 * FLOAT32_BYTES, f32(targetIndex / textureSize) / textureSizeF);\n\n    if (sourceIndex != targetIndex) {\n      const targetOffset = targetIndex * FLOAT32_BYTES;\n      let targetCursor = load<i32>(cursorsPtr + targetOffset);\n      store<i32>(cursorsPtr + targetOffset, targetCursor + 1);\n\n      linkOffset = linksTexturePtr + targetCursor * texelStride;\n      store<f32>(linkOffset + 0 * FLOAT32_BYTES, f32(sourceIndex % textureSize) / textureSizeF);\n      store<f32>(linkOffset + 1 * FLOAT32_BYTES, f32(sourceIndex / textureSize) / textureSizeF);\n      store<f32>(linkOffset + 2 * FLOAT32_BYTES, f32(targetIndex % textureSize) / textureSizeF);\n      store<f32>(linkOffset + 3 * FLOAT32_BYTES, f32(targetIndex / textureSize) / textureSizeF);\n    }\n  }\n\n  heap.free(cursorsPtr);\n  heap.free(startOffsetsPtr);\n  heap.free(degreeCountsPtr);\n\n  return packedLinkAmount;\n}\n\n/**\n * Combined processing function for both nodes and links\n * @param nodesDataPtr Pointer to serialized node data\n * @param nodesCount Number of nodes\n * @param linksDataPtr Pointer to serialized link data\n * @param linksCount Number of links\n * @param textureSize Power-of-2 texture size\n * @param positionsPtr Pointer to output positions texture data\n * @param linksTexturePtr Pointer to output links texture data\n * @param frustumSize Frustum size for out-of-bounds nodes\n */\nexport function processTextures(\n  nodesDataPtr: usize,\n  nodesCount: i32,\n  linksDataPtr: usize,\n  linksCount: i32,\n  textureSize: i32,\n  positionsPtr: usize,\n  linksTexturePtr: usize,\n  linkRangesTexturePtr: usize,\n  frustumSize: f32\n): i32 {\n  processNodePositions(nodesDataPtr, nodesCount, textureSize, positionsPtr, frustumSize);\n  return processLinks(\n    linksDataPtr,\n    linksCount,\n    nodesCount,\n    textureSize,\n    linksTexturePtr,\n    linkRangesTexturePtr\n  );\n}\n\n/**\n * Allocate memory for texture data\n * @param size Size in bytes\n * @returns Pointer to allocated memory\n */\nexport function allocateMemory(size: i32): usize {\n  return heap.alloc(size);\n}\n\n/**\n * Free allocated memory\n * @param ptr Pointer to memory to free\n */\nexport function freeMemory(ptr: usize): void {\n  heap.free(ptr);\n}\n\n/**\n * Get memory usage statistics\n * @returns Memory usage in bytes\n */\nexport function getMemoryUsage(): i32 {\n  return i32(memory.size() * 65536); // Pages to bytes\n}\n","//\n// Lookup data for exp2f\n//\n\n// @ts-ignore: decorator\n@inline const EXP2F_TABLE_BITS = 5;\n\n// @ts-ignore: decorator\n@lazy @inline const EXP2F_DATA_TAB = memory.data<u64>([\n  // exp2f_data_tab[i] = uint(2^(i/N)) - (i << 52-BITS)\n  // used for computing 2^(k/N) for an int |k| < 150 N as\n  // double(tab[k%N] + (k << 52-BITS))\n  0x3FF0000000000000, 0x3FEFD9B0D3158574, 0x3FEFB5586CF9890F, 0x3FEF9301D0125B51,\n  0x3FEF72B83C7D517B, 0x3FEF54873168B9AA, 0x3FEF387A6E756238, 0x3FEF1E9DF51FDEE1,\n  0x3FEF06FE0A31B715, 0x3FEEF1A7373AA9CB, 0x3FEEDEA64C123422, 0x3FEECE086061892D,\n  0x3FEEBFDAD5362A27, 0x3FEEB42B569D4F82, 0x3FEEAB07DD485429, 0x3FEEA47EB03A5585,\n  0x3FEEA09E667F3BCD, 0x3FEE9F75E8EC5F74, 0x3FEEA11473EB0187, 0x3FEEA589994CCE13,\n  0x3FEEACE5422AA0DB, 0x3FEEB737B0CDC5E5, 0x3FEEC49182A3F090, 0x3FEED503B23E255D,\n  0x3FEEE89F995AD3AD, 0x3FEEFF76F2FB5E47, 0x3FEF199BDD85529C, 0x3FEF3720DCEF9069,\n  0x3FEF5818DCFBA487, 0x3FEF7C97337B9B5F, 0x3FEFA4AFA2A490DA, 0x3FEFD0765B6E4540\n]);\n\n// ULP error: 0.502 (nearest rounding.)\n// Relative error: 1.69 * 2^-34 in [-1/64, 1/64] (before rounding.)\n// Wrong count: 168353 (all nearest rounding wrong results with fma.)\n// @ts-ignore: decorator\n@inline\nexport function exp2f_lut(x: f32): f32 {\n  const\n    N      = 1 << EXP2F_TABLE_BITS,\n    N_MASK = N - 1,\n    shift  = reinterpret<f64>(0x4338000000000000) / N, // 0x1.8p+52\n    Ox127f = reinterpret<f32>(0x7F000000);\n\n  const\n    C0 = reinterpret<f64>(0x3FAC6AF84B912394), // 0x1.c6af84b912394p-5\n    C1 = reinterpret<f64>(0x3FCEBFCE50FAC4F3), // 0x1.ebfce50fac4f3p-3\n    C2 = reinterpret<f64>(0x3FE62E42FF0C52D6); // 0x1.62e42ff0c52d6p-1\n\n  let xd = <f64>x;\n  let ix = reinterpret<u32>(x);\n  let ux = ix >> 20 & 0x7FF;\n  if (ux >= 0x430) {\n    // |x| >= 128 or x is nan.\n    if (ix == 0xFF800000) return 0; // x == -Inf    -> 0\n    if (ux >= 0x7F8) return x + x;  // x == Inf/NaN -> Inf/NaN\n    if (x > 0) return x * Ox127f;   // x >     0    -> HugeVal (Owerflow)\n    if (x <= -150) return 0;        // x <= -150    -> 0 (Underflow)\n  }\n\n  // x = k/N + r with r in [-1/(2N), 1/(2N)] and int k.\n  let kd = xd + shift;\n  let ki = reinterpret<u64>(kd);\n  let r  = xd - (kd - shift);\n  let t: u64, y: f64, s: f64;\n\n  // exp2(x) = 2^(k/N) * 2^r ~= s * (C0*r^3 + C1*r^2 + C2*r + 1)\n  t  = load<u64>(EXP2F_DATA_TAB + ((<usize>ki & N_MASK) << alignof<u64>()));\n  t += ki << (52 - EXP2F_TABLE_BITS);\n  s  = reinterpret<f64>(t);\n  y  = C2 * r + 1;\n  y += (C0 * r + C1) * (r  * r);\n  y *= s;\n\n  return <f32>y;\n}\n\n// ULP error: 0.502 (nearest rounding.)\n// Relative error: 1.69 * 2^-34 in [-ln2/64, ln2/64] (before rounding.)\n// Wrong count: 170635 (all nearest rounding wrong results with fma.)\n// @ts-ignore: decorator\n@inline\nexport function expf_lut(x: f32): f32 {\n  const\n    N        = 1 << EXP2F_TABLE_BITS,\n    N_MASK   = N - 1,\n    shift    = reinterpret<f64>(0x4338000000000000),        // 0x1.8p+52\n    InvLn2N  = reinterpret<f64>(0x3FF71547652B82FE) * N,    // 0x1.71547652b82fep+0\n    Ox1p127f = reinterpret<f32>(0x7F000000);\n\n  const\n    C0 = reinterpret<f64>(0x3FAC6AF84B912394) / N / N / N, // 0x1.c6af84b912394p-5\n    C1 = reinterpret<f64>(0x3FCEBFCE50FAC4F3) / N / N,     // 0x1.ebfce50fac4f3p-3\n    C2 = reinterpret<f64>(0x3FE62E42FF0C52D6) / N;         // 0x1.62e42ff0c52d6p-1\n\n  let xd = <f64>x;\n  let ix = reinterpret<u32>(x);\n  let ux = ix >> 20 & 0x7FF;\n  if (ux >= 0x42B) {\n    // |x| >= 88 or x is nan.\n    if (ix == 0xFF800000) return 0;                            // x == -Inf    -> 0\n    if (ux >= 0x7F8) return x + x;                             // x == Inf/NaN -> Inf/NaN\n    if (x > reinterpret<f32>(0x42B17217)) return x * Ox1p127f; // x > log(0x1p128)  ~=  88.72 -> HugeVal (Owerflow)\n    if (x < reinterpret<f32>(0xC2CFF1B4)) return 0;            // x < log(0x1p-150) ~= -103.97 -> 0 (Underflow)\n  }\n\n  // x*N/Ln2 = k + r with r in [-1/2, 1/2] and int k.\n  let z = InvLn2N * xd;\n\n  // Round and convert z to int, the result is in [-150*N, 128*N] and\n  // ideally ties-to-even rule is used, otherwise the magnitude of r\n  // can be bigger which gives larger approximation error.\n  let kd = <f64>(z + shift);\n  let ki = reinterpret<u64>(kd);\n  let r  = z - (kd - shift);\n  let s: f64, y: f64, t: u64;\n\n  // exp(x) = 2^(k/N) * 2^(r/N) ~= s * (C0*r^3 + C1*r^2 + C2*r + 1)\n  t  = load<u64>(EXP2F_DATA_TAB + ((<usize>ki & N_MASK) << alignof<u64>()));\n  t += ki << (52 - EXP2F_TABLE_BITS);\n  s  = reinterpret<f64>(t);\n  z  = C0 * r + C1;\n  y  = C2 * r + 1;\n  y += z * (r * r);\n  y *= s;\n\n  return <f32>y;\n}\n\n//\n// Lookup data for log2f\n//\n\n// @ts-ignore: decorator\n@inline const LOG2F_TABLE_BITS = 4;\n\n// @ts-ignore: decorator\n@lazy @inline const LOG2F_DATA_TAB = memory.data<u64>([\n  0x3FF661EC79F8F3BE, 0xBFDEFEC65B963019, // 0x1.661ec79f8f3bep+0, -0x1.efec65b963019p-2,\n  0x3FF571ED4AAF883D, 0xBFDB0B6832D4FCA4, // 0x1.571ed4aaf883dp+0, -0x1.b0b6832d4fca4p-2,\n  0x3FF49539F0F010B0, 0xBFD7418B0A1FB77B, // 0x1.49539f0f010bp+0 , -0x1.7418b0a1fb77bp-2,\n  0x3FF3C995B0B80385, 0xBFD39DE91A6DCF7B, // 0x1.3c995b0b80385p+0, -0x1.39de91a6dcf7bp-2,\n  0x3FF30D190C8864A5, 0xBFD01D9BF3F2B631, // 0x1.30d190c8864a5p+0, -0x1.01d9bf3f2b631p-2,\n  0x3FF25E227B0B8EA0, 0xBFC97C1D1B3B7AF0, // 0x1.25e227b0b8eap+0 , -0x1.97c1d1b3b7afp-3 ,\n  0x3FF1BB4A4A1A343F, 0xBFC2F9E393AF3C9F, // 0x1.1bb4a4a1a343fp+0, -0x1.2f9e393af3c9fp-3,\n  0x3FF12358F08AE5BA, 0xBFB960CBBF788D5C, // 0x1.12358f08ae5bap+0, -0x1.960cbbf788d5cp-4,\n  0x3FF0953F419900A7, 0xBFAA6F9DB6475FCE, // 0x1.0953f419900a7p+0, -0x1.a6f9db6475fcep-5,\n  0x3FF0000000000000, 0,                  // 0x1p+0,                0x0,\n  0x3FEE608CFD9A47AC, 0x3FB338CA9F24F53D, // 0x1.e608cfd9a47acp-1,  0x1.338ca9f24f53dp-4,\n  0x3FECA4B31F026AA0, 0x3FC476A9543891BA, // 0x1.ca4b31f026aap-1 ,  0x1.476a9543891bap-3,\n  0x3FEB2036576AFCE6, 0x3FCE840B4AC4E4D2, // 0x1.b2036576afce6p-1,  0x1.e840b4ac4e4d2p-3,\n  0x3FE9C2D163A1AA2D, 0x3FD40645F0C6651C, // 0x1.9c2d163a1aa2dp-1,  0x1.40645f0c6651cp-2,\n  0x3FE886E6037841ED, 0x3FD88E9C2C1B9FF8, // 0x1.886e6037841edp-1,  0x1.88e9c2c1b9ff8p-2,\n  0x3FE767DCF5534862, 0x3FDCE0A44EB17BCC  // 0x1.767dcf5534862p-1,  0x1.ce0a44eb17bccp-2\n]);\n\n// ULP error: 0.752 (nearest rounding.)\n// Relative error: 1.9 * 2^-26 (before rounding.)\n// @ts-ignore: decorator\n@inline\nexport function log2f_lut(x: f32): f32 {\n  const\n    N_MASK  = (1 << LOG2F_TABLE_BITS) - 1,\n    Ox1p23f = reinterpret<f32>(0x4B000000); // 0x1p23f\n\n  const\n    A0 = reinterpret<f64>(0xBFD712B6F70A7E4D), // -0x1.712b6f70a7e4dp-2\n    A1 = reinterpret<f64>(0x3FDECABF496832E0), //  0x1.ecabf496832ep-2\n    A2 = reinterpret<f64>(0xBFE715479FFAE3DE), // -0x1.715479ffae3dep-1\n    A3 = reinterpret<f64>(0x3FF715475F35C8B8); //  0x1.715475f35c8b8p0\n\n  let ux = reinterpret<u32>(x);\n  // Fix sign of zero with downward rounding when x==1.\n  // if (WANT_ROUNDING && predict_false(ix == 0x3f800000)) return 0;\n  if (ux - 0x00800000 >= 0x7F800000 - 0x00800000) {\n    // x < 0x1p-126 or inf or nan.\n    if (ux * 2 == 0) return -Infinity;\n    if (ux == 0x7F800000) return x; // log2(inf) == inf.\n    if ((ux >> 31) || ux * 2 >= 0xFF000000) return (x - x) / (x - x);\n    // x is subnormal, normalize it.\n    ux = reinterpret<u32>(x * Ox1p23f);\n    ux -= 23 << 23;\n  }\n  // x = 2^k z; where z is in range [OFF,2*OFF] and exact.\n  // The range is split into N subintervals.\n  // The ith subinterval contains z and c is near its center.\n  let tmp  = ux - 0x3F330000;\n  let i    = (tmp >> (23 - LOG2F_TABLE_BITS)) & N_MASK;\n  let top  = tmp & 0xFF800000;\n  let iz   = ux - top;\n  let k    = <i32>tmp >> 23;\n\n  let invc = load<f64>(LOG2F_DATA_TAB + (i << (1 + alignof<f64>())), 0 << alignof<f64>());\n  let logc = load<f64>(LOG2F_DATA_TAB + (i << (1 + alignof<f64>())), 1 << alignof<f64>());\n  let z    = <f64>reinterpret<f32>(iz);\n\n  // log2(x) = log1p(z/c-1)/ln2 + log2(c) + k\n  let r  = z * invc - 1;\n  let y0 = logc + <f64>k;\n\n  // Pipelined polynomial evaluation to approximate log1p(r)/ln2.\n  let y  = A1 * r + A2;\n  let p  = A3 * r + y0;\n  let r2 = r * r;\n  y += A0 * r2;\n  y  = y * r2 + p;\n\n  return <f32>y;\n}\n\n//\n// Lookup data for logf. See: https://git.musl-libc.org/cgit/musl/tree/src/math/logf.c\n//\n\n// @ts-ignore: decorator\n@inline const LOGF_TABLE_BITS = 4;\n\n// @ts-ignore: decorator\n@lazy @inline const LOGF_DATA_TAB = memory.data<u64>([\n  0x3FF661EC79F8F3BE, 0xBFD57BF7808CAADE, // 0x1.661ec79f8f3bep+0, -0x1.57bf7808caadep-2,\n  0x3FF571ED4AAF883D, 0xBFD2BEF0A7C06DDB, // 0x1.571ed4aaf883dp+0, -0x1.2bef0a7c06ddbp-2,\n  0x3FF49539F0F010B0, 0xBFD01EAE7F513A67, // 0x1.49539f0f010bp+0 , -0x1.01eae7f513a67p-2,\n  0x3FF3C995B0B80385, 0xBFCB31D8A68224E9, // 0x1.3c995b0b80385p+0, -0x1.b31d8a68224e9p-3,\n  0x3FF30D190C8864A5, 0xBFC6574F0AC07758, // 0x1.30d190c8864a5p+0, -0x1.6574f0ac07758p-3,\n  0x3FF25E227B0B8EA0, 0xBFC1AA2BC79C8100, // 0x1.25e227b0b8eap+0 , -0x1.1aa2bc79c81p-3  ,\n  0x3FF1BB4A4A1A343F, 0xBFBA4E76CE8C0E5E, // 0x1.1bb4a4a1a343fp+0, -0x1.a4e76ce8c0e5ep-4,\n  0x3FF12358F08AE5BA, 0xBFB1973C5A611CCC, // 0x1.12358f08ae5bap+0, -0x1.1973c5a611cccp-4,\n  0x3FF0953F419900A7, 0xBFA252F438E10C1E, // 0x1.0953f419900a7p+0, -0x1.252f438e10c1ep-5,\n  0x3FF0000000000000, 0,                  // 0x1p+0,                0,\n  0x3FEE608CFD9A47AC, 0x3FAAA5AA5DF25984, // 0x1.e608cfd9a47acp-1,  0x1.aa5aa5df25984p-5,\n  0x3FECA4B31F026AA0, 0x3FBC5E53AA362EB4, // 0x1.ca4b31f026aap-1 ,  0x1.c5e53aa362eb4p-4,\n  0x3FEB2036576AFCE6, 0x3FC526E57720DB08, // 0x1.b2036576afce6p-1,  0x1.526e57720db08p-3,\n  0x3FE9C2D163A1AA2D, 0x3FCBC2860D224770, // 0x1.9c2d163a1aa2dp-1,  0x1.bc2860d22477p-3 ,\n  0x3FE886E6037841ED, 0x3FD1058BC8A07EE1, // 0x1.886e6037841edp-1,  0x1.1058bc8a07ee1p-2,\n  0x3FE767DCF5534862, 0x3FD4043057B6EE09  // 0x1.767dcf5534862p-1,  0x1.4043057b6ee09p-2\n]);\n\n// ULP error: 0.818 (nearest rounding.)\n// Relative error: 1.957 * 2^-26 (before rounding.)\n// @ts-ignore: decorator\n@inline\nexport function logf_lut(x: f32): f32 {\n  const\n    N_MASK  = (1 << LOGF_TABLE_BITS) - 1,\n    Ox1p23f = reinterpret<f32>(0x4B000000); // 0x1p23f\n\n  const\n    Ln2 = reinterpret<f64>(0x3FE62E42FEFA39EF), // 0x1.62e42fefa39efp-1;\n    A0  = reinterpret<f64>(0xBFD00EA348B88334), // -0x1.00ea348b88334p-2\n    A1  = reinterpret<f64>(0x3FD5575B0BE00B6A), //  0x1.5575b0be00b6ap-2\n    A2  = reinterpret<f64>(0xBFDFFFFEF20A4123); // -0x1.ffffef20a4123p-2\n\n  let ux = reinterpret<u32>(x);\n  // Fix sign of zero with downward rounding when x==1.\n  // if (WANT_ROUNDING && ux == 0x3f800000) return 0;\n  if (ux - 0x00800000 >= 0x7F800000 - 0x00800000) {\n    // x < 0x1p-126 or inf or nan.\n    if ((ux << 1) == 0) return -Infinity;\n    if (ux == 0x7F800000) return x; // log(inf) == inf.\n    if ((ux >> 31) || (ux << 1) >= 0xFF000000) return (x - x) / (x - x);\n    // x is subnormal, normalize it.\n    ux = reinterpret<u32>(x * Ox1p23f);\n    ux -= 23 << 23;\n  }\n  // x = 2^k z; where z is in range [OFF,2*OFF] and exact.\n  // The range is split into N subintervals.\n  // The ith subinterval contains z and c is near its center.\n  let tmp = ux - 0x3F330000;\n  let i   = (tmp >> (23 - LOGF_TABLE_BITS)) & N_MASK;\n  let k   = <i32>tmp >> 23;\n  let iz  = ux - (tmp & 0x1FF << 23);\n\n  let invc = load<f64>(LOGF_DATA_TAB + (i << (1 + alignof<f64>())), 0 << alignof<f64>());\n  let logc = load<f64>(LOGF_DATA_TAB + (i << (1 + alignof<f64>())), 1 << alignof<f64>());\n\n  let z = <f64>reinterpret<f32>(iz);\n\n  // log(x) = log1p(z/c-1) + log(c) + k*Ln2\n  let r = z * invc - 1;\n  let y0 = logc + <f64>k * Ln2;\n\n  // Pipelined polynomial evaluation to approximate log1p(r).\n  let r2 = r * r;\n  let y  = A1 * r + A2;\n  y += A0 * r2;\n  y = y * r2 + (y0 + r);\n\n  return <f32>y;\n}\n\n//\n// Lookup data for powf. See: https://git.musl-libc.org/cgit/musl/tree/src/math/powf.c\n//\n\n// @ts-ignore: decorator\n@inline\nfunction zeroinfnanf(ux: u32): bool {\n  return (ux << 1) - 1 >= (<u32>0x7f800000 << 1) - 1;\n}\n\n// Returns 0 if not int, 1 if odd int, 2 if even int. The argument is\n// the bit representation of a non-zero finite floating-point value.\n// @ts-ignore: decorator\n@inline\nfunction checkintf(iy: u32): i32 {\n  let e = iy >> 23 & 0xFF;\n  if (e < 0x7F     ) return 0;\n  if (e > 0x7F + 23) return 2;\n  e = 1 << (0x7F + 23 - e);\n  if (iy & (e - 1)) return 0;\n  if (iy &  e     ) return 1;\n  return 2;\n}\n\n// Subnormal input is normalized so ix has negative biased exponent.\n// Output is multiplied by N (POWF_SCALE) if TOINT_INTRINICS is set.\n// @ts-ignore: decorator\n@inline\nfunction log2f_inline(ux: u32): f64 {\n  const N_MASK = (1 << LOG2F_TABLE_BITS) - 1;\n\n  const\n    A0 = reinterpret<f64>(0x3FD27616C9496E0B), //  0x1.27616c9496e0bp-2\n    A1 = reinterpret<f64>(0xBFD71969A075C67A), // -0x1.71969a075c67ap-2\n    A2 = reinterpret<f64>(0x3FDEC70A6CA7BADD), //  0x1.ec70a6ca7baddp-2\n    A3 = reinterpret<f64>(0xBFE7154748BEF6C8), // -0x1.7154748bef6c8p-1\n    A4 = reinterpret<f64>(0x3FF71547652AB82B); //  0x1.71547652ab82bp+0\n\n  // x = 2^k z; where z is in range [OFF,2*OFF] and exact.\n  // The range is split into N subintervals.\n  // The ith subinterval contains z and c is near its center.\n  let tmp  = ux - 0x3F330000;\n  let i    = usize((tmp >> (23 - LOG2F_TABLE_BITS)) & N_MASK);\n  let top  = tmp & 0xFF800000;\n  let uz   = ux - top;\n  let k    = <i32>top >> 23;\n\n  let invc = load<f64>(LOG2F_DATA_TAB + (i << (1 + alignof<f64>())), 0 << alignof<f64>());\n  let logc = load<f64>(LOG2F_DATA_TAB + (i << (1 + alignof<f64>())), 1 << alignof<f64>());\n  let z    = <f64>reinterpret<f32>(uz);\n\n  // log2(x) = log1p(z/c-1)/ln2 + log2(c) + k\n  let r  = z * invc - 1;\n  let y0 = logc + <f64>k;\n\n  // Pipelined polynomial evaluation to approximate log1p(r)/ln2.\n  let y = A0 * r + A1;\n  let p = A2 * r + A3;\n  let q = A4 * r + y0;\n\n  r *= r;\n  q += p * r;\n  y  = y * (r * r) + q;\n\n  return y;\n}\n\n// The output of log2 and thus the input of exp2 is either scaled by N\n// (in case of fast toint intrinsics) or not.  The unscaled xd must be\n// in [-1021,1023], sign_bias sets the sign of the result.\n// @ts-ignore: decorator\n@inline\nfunction exp2f_inline(xd: f64, signBias: u32): f32 {\n  const\n    N      = 1 << EXP2F_TABLE_BITS,\n    N_MASK = N - 1,\n    shift  = reinterpret<f64>(0x4338000000000000) / N; // 0x1.8p+52\n\n  const\n    C0 = reinterpret<f64>(0x3FAC6AF84B912394), // 0x1.c6af84b912394p-5\n    C1 = reinterpret<f64>(0x3FCEBFCE50FAC4F3), // 0x1.ebfce50fac4f3p-3\n    C2 = reinterpret<f64>(0x3FE62E42FF0C52D6); // 0x1.62e42ff0c52d6p-1\n\n  // x = k/N + r with r in [-1/(2N), 1/(2N)]\n  let kd = <f64>(xd + shift);\n  let ki = reinterpret<u64>(kd);\n  let r  = xd - (kd - shift);\n  let t: u64, z: f64, y: f64, s: f64;\n\n  // exp2(x) = 2^(k/N) * 2^r ~= s * (C0*r^3 + C1*r^2 + C2*r + 1)\n  t  = load<u64>(EXP2F_DATA_TAB + ((<usize>ki & N_MASK) << alignof<u64>()));\n  t += (ki + signBias) << (52 - EXP2F_TABLE_BITS);\n  s  = reinterpret<f64>(t);\n  z  = C0 * r + C1;\n  y  = C2 * r + 1;\n  y += z * (r * r);\n  y *= s;\n  return <f32>y;\n}\n\n// @ts-ignore: decorator\n@inline\nfunction xflowf(sign: u32, y: f32): f32 {\n  return select<f32>(-y, y, sign) * y;\n}\n\n// @ts-ignore: decorator\n@inline\nfunction oflowf(sign: u32): f32 {\n  return xflowf(sign, reinterpret<f32>(0x70000000)); // 0x1p97f\n}\n\n// @ts-ignore: decorator\n@inline\nfunction uflowf(sign: u32): f32 {\n  return xflowf(sign, reinterpret<f32>(0x10000000)); // 0x1p-95f\n}\n\n// @ts-ignore: decorator\n@inline\nexport function powf_lut(x: f32, y: f32): f32 {\n  const\n    Ox1p23f     = reinterpret<f32>(0x4B000000), // 0x1p23f\n    UPPER_LIMIT = reinterpret<f64>(0x405FFFFFFFD1D571), // 0x1.fffffffd1d571p+6\n    LOWER_LIMIT = -150.0,\n    SIGN_BIAS   = 1 << (EXP2F_TABLE_BITS + 11);\n\n  let signBias: u32 = 0;\n  let ix = reinterpret<u32>(x);\n  let iy = reinterpret<u32>(y);\n  let ny = 0;\n\n  if (i32(ix - 0x00800000 >= 0x7f800000 - 0x00800000) | (ny = i32(zeroinfnanf(iy)))) {\n    // Either (x < 0x1p-126 or inf or nan) or (y is 0 or inf or nan).\n    if (ny) {\n      if ((iy << 1) == 0) return 1.0;\n      if (ix == 0x3F800000) return NaN; // original: 1.0\n      if ((ix << 1) > (<u32>0x7F800000 << 1) || (iy << 1) > (<u32>0x7F800000 << 1)) return x + y;\n      if ((ix << 1) == (0x3F800000 << 1)) return NaN; // original: 1.0\n      if (((ix << 1) < (0x3F800000 << 1)) == !(iy >> 31)) return 0; // |x| < 1 && y==inf or |x| > 1 && y==-inf.\n      return y * y;\n    }\n    if (zeroinfnanf(ix)) {\n      let x2 = x * x;\n      if ((ix >> 31) && checkintf(iy) == 1) x2 = -x2;\n      return <i32>iy < 0 ? 1 / x2 : x2;\n    }\n    // x and y are non-zero finite.\n    if (<i32>ix < 0) {\n      // Finite x < 0.\n      let yint = checkintf(iy);\n      if (yint == 0) return (x - x) / (x - x);\n      if (yint == 1) signBias = SIGN_BIAS;\n      ix &= 0x7FFFFFFF;\n    }\n    if (ix < 0x00800000) {\n      // Normalize subnormal x so exponent becomes negative.\n      ix = reinterpret<u32>(x * Ox1p23f);\n      ix &= 0x7FFFFFFF;\n      ix -= 23 << 23;\n    }\n  }\n  let logx = log2f_inline(ix);\n  let ylogx = y * logx; // cannot overflow, y is single prec.\n  if ((reinterpret<u64>(ylogx) >> 47 & 0xFFFF) >= 0x80BF) { // reinterpret<u64>(126.0) >> 47\n    // |y * log(x)| >= 126\n    if (ylogx  > UPPER_LIMIT) return oflowf(signBias); // overflow\n    if (ylogx <= LOWER_LIMIT) return uflowf(signBias); // underflow\n  }\n  return exp2f_inline(ylogx, signBias);\n}\n\n//\n// Lookup data for exp. See: https://git.musl-libc.org/cgit/musl/tree/src/math/exp.c\n//\n\n// @ts-ignore: decorator\n@inline const EXP_TABLE_BITS = 7;\n\n// @ts-ignore: decorator\n@lazy @inline const EXP_DATA_TAB = memory.data<u64>([\n  0x0000000000000000, 0x3FF0000000000000,\n  0x3C9B3B4F1A88BF6E, 0x3FEFF63DA9FB3335,\n  0xBC7160139CD8DC5D, 0x3FEFEC9A3E778061,\n  0xBC905E7A108766D1, 0x3FEFE315E86E7F85,\n  0x3C8CD2523567F613, 0x3FEFD9B0D3158574,\n  0xBC8BCE8023F98EFA, 0x3FEFD06B29DDF6DE,\n  0x3C60F74E61E6C861, 0x3FEFC74518759BC8,\n  0x3C90A3E45B33D399, 0x3FEFBE3ECAC6F383,\n  0x3C979AA65D837B6D, 0x3FEFB5586CF9890F,\n  0x3C8EB51A92FDEFFC, 0x3FEFAC922B7247F7,\n  0x3C3EBE3D702F9CD1, 0x3FEFA3EC32D3D1A2,\n  0xBC6A033489906E0B, 0x3FEF9B66AFFED31B,\n  0xBC9556522A2FBD0E, 0x3FEF9301D0125B51,\n  0xBC5080EF8C4EEA55, 0x3FEF8ABDC06C31CC,\n  0xBC91C923B9D5F416, 0x3FEF829AAEA92DE0,\n  0x3C80D3E3E95C55AF, 0x3FEF7A98C8A58E51,\n  0xBC801B15EAA59348, 0x3FEF72B83C7D517B,\n  0xBC8F1FF055DE323D, 0x3FEF6AF9388C8DEA,\n  0x3C8B898C3F1353BF, 0x3FEF635BEB6FCB75,\n  0xBC96D99C7611EB26, 0x3FEF5BE084045CD4,\n  0x3C9AECF73E3A2F60, 0x3FEF54873168B9AA,\n  0xBC8FE782CB86389D, 0x3FEF4D5022FCD91D,\n  0x3C8A6F4144A6C38D, 0x3FEF463B88628CD6,\n  0x3C807A05B0E4047D, 0x3FEF3F49917DDC96,\n  0x3C968EFDE3A8A894, 0x3FEF387A6E756238,\n  0x3C875E18F274487D, 0x3FEF31CE4FB2A63F,\n  0x3C80472B981FE7F2, 0x3FEF2B4565E27CDD,\n  0xBC96B87B3F71085E, 0x3FEF24DFE1F56381,\n  0x3C82F7E16D09AB31, 0x3FEF1E9DF51FDEE1,\n  0xBC3D219B1A6FBFFA, 0x3FEF187FD0DAD990,\n  0x3C8B3782720C0AB4, 0x3FEF1285A6E4030B,\n  0x3C6E149289CECB8F, 0x3FEF0CAFA93E2F56,\n  0x3C834D754DB0ABB6, 0x3FEF06FE0A31B715,\n  0x3C864201E2AC744C, 0x3FEF0170FC4CD831,\n  0x3C8FDD395DD3F84A, 0x3FEEFC08B26416FF,\n  0xBC86A3803B8E5B04, 0x3FEEF6C55F929FF1,\n  0xBC924AEDCC4B5068, 0x3FEEF1A7373AA9CB,\n  0xBC9907F81B512D8E, 0x3FEEECAE6D05D866,\n  0xBC71D1E83E9436D2, 0x3FEEE7DB34E59FF7,\n  0xBC991919B3CE1B15, 0x3FEEE32DC313A8E5,\n  0x3C859F48A72A4C6D, 0x3FEEDEA64C123422,\n  0xBC9312607A28698A, 0x3FEEDA4504AC801C,\n  0xBC58A78F4817895B, 0x3FEED60A21F72E2A,\n  0xBC7C2C9B67499A1B, 0x3FEED1F5D950A897,\n  0x3C4363ED60C2AC11, 0x3FEECE086061892D,\n  0x3C9666093B0664EF, 0x3FEECA41ED1D0057,\n  0x3C6ECCE1DAA10379, 0x3FEEC6A2B5C13CD0,\n  0x3C93FF8E3F0F1230, 0x3FEEC32AF0D7D3DE,\n  0x3C7690CEBB7AAFB0, 0x3FEEBFDAD5362A27,\n  0x3C931DBDEB54E077, 0x3FEEBCB299FDDD0D,\n  0xBC8F94340071A38E, 0x3FEEB9B2769D2CA7,\n  0xBC87DECCDC93A349, 0x3FEEB6DAA2CF6642,\n  0xBC78DEC6BD0F385F, 0x3FEEB42B569D4F82,\n  0xBC861246EC7B5CF6, 0x3FEEB1A4CA5D920F,\n  0x3C93350518FDD78E, 0x3FEEAF4736B527DA,\n  0x3C7B98B72F8A9B05, 0x3FEEAD12D497C7FD,\n  0x3C9063E1E21C5409, 0x3FEEAB07DD485429,\n  0x3C34C7855019C6EA, 0x3FEEA9268A5946B7,\n  0x3C9432E62B64C035, 0x3FEEA76F15AD2148,\n  0xBC8CE44A6199769F, 0x3FEEA5E1B976DC09,\n  0xBC8C33C53BEF4DA8, 0x3FEEA47EB03A5585,\n  0xBC845378892BE9AE, 0x3FEEA34634CCC320,\n  0xBC93CEDD78565858, 0x3FEEA23882552225,\n  0x3C5710AA807E1964, 0x3FEEA155D44CA973,\n  0xBC93B3EFBF5E2228, 0x3FEEA09E667F3BCD,\n  0xBC6A12AD8734B982, 0x3FEEA012750BDABF,\n  0xBC6367EFB86DA9EE, 0x3FEE9FB23C651A2F,\n  0xBC80DC3D54E08851, 0x3FEE9F7DF9519484,\n  0xBC781F647E5A3ECF, 0x3FEE9F75E8EC5F74,\n  0xBC86EE4AC08B7DB0, 0x3FEE9F9A48A58174,\n  0xBC8619321E55E68A, 0x3FEE9FEB564267C9,\n  0x3C909CCB5E09D4D3, 0x3FEEA0694FDE5D3F,\n  0xBC7B32DCB94DA51D, 0x3FEEA11473EB0187,\n  0x3C94ECFD5467C06B, 0x3FEEA1ED0130C132,\n  0x3C65EBE1ABD66C55, 0x3FEEA2F336CF4E62,\n  0xBC88A1C52FB3CF42, 0x3FEEA427543E1A12,\n  0xBC9369B6F13B3734, 0x3FEEA589994CCE13,\n  0xBC805E843A19FF1E, 0x3FEEA71A4623C7AD,\n  0xBC94D450D872576E, 0x3FEEA8D99B4492ED,\n  0x3C90AD675B0E8A00, 0x3FEEAAC7D98A6699,\n  0x3C8DB72FC1F0EAB4, 0x3FEEACE5422AA0DB,\n  0xBC65B6609CC5E7FF, 0x3FEEAF3216B5448C,\n  0x3C7BF68359F35F44, 0x3FEEB1AE99157736,\n  0xBC93091FA71E3D83, 0x3FEEB45B0B91FFC6,\n  0xBC5DA9B88B6C1E29, 0x3FEEB737B0CDC5E5,\n  0xBC6C23F97C90B959, 0x3FEEBA44CBC8520F,\n  0xBC92434322F4F9AA, 0x3FEEBD829FDE4E50,\n  0xBC85CA6CD7668E4B, 0x3FEEC0F170CA07BA,\n  0x3C71AFFC2B91CE27, 0x3FEEC49182A3F090,\n  0x3C6DD235E10A73BB, 0x3FEEC86319E32323,\n  0xBC87C50422622263, 0x3FEECC667B5DE565,\n  0x3C8B1C86E3E231D5, 0x3FEED09BEC4A2D33,\n  0xBC91BBD1D3BCBB15, 0x3FEED503B23E255D,\n  0x3C90CC319CEE31D2, 0x3FEED99E1330B358,\n  0x3C8469846E735AB3, 0x3FEEDE6B5579FDBF,\n  0xBC82DFCD978E9DB4, 0x3FEEE36BBFD3F37A,\n  0x3C8C1A7792CB3387, 0x3FEEE89F995AD3AD,\n  0xBC907B8F4AD1D9FA, 0x3FEEEE07298DB666,\n  0xBC55C3D956DCAEBA, 0x3FEEF3A2B84F15FB,\n  0xBC90A40E3DA6F640, 0x3FEEF9728DE5593A,\n  0xBC68D6F438AD9334, 0x3FEEFF76F2FB5E47,\n  0xBC91EEE26B588A35, 0x3FEF05B030A1064A,\n  0x3C74FFD70A5FDDCD, 0x3FEF0C1E904BC1D2,\n  0xBC91BDFBFA9298AC, 0x3FEF12C25BD71E09,\n  0x3C736EAE30AF0CB3, 0x3FEF199BDD85529C,\n  0x3C8EE3325C9FFD94, 0x3FEF20AB5FFFD07A,\n  0x3C84E08FD10959AC, 0x3FEF27F12E57D14B,\n  0x3C63CDAF384E1A67, 0x3FEF2F6D9406E7B5,\n  0x3C676B2C6C921968, 0x3FEF3720DCEF9069,\n  0xBC808A1883CCB5D2, 0x3FEF3F0B555DC3FA,\n  0xBC8FAD5D3FFFFA6F, 0x3FEF472D4A07897C,\n  0xBC900DAE3875A949, 0x3FEF4F87080D89F2,\n  0x3C74A385A63D07A7, 0x3FEF5818DCFBA487,\n  0xBC82919E2040220F, 0x3FEF60E316C98398,\n  0x3C8E5A50D5C192AC, 0x3FEF69E603DB3285,\n  0x3C843A59AC016B4B, 0x3FEF7321F301B460,\n  0xBC82D52107B43E1F, 0x3FEF7C97337B9B5F,\n  0xBC892AB93B470DC9, 0x3FEF864614F5A129,\n  0x3C74B604603A88D3, 0x3FEF902EE78B3FF6,\n  0x3C83C5EC519D7271, 0x3FEF9A51FBC74C83,\n  0xBC8FF7128FD391F0, 0x3FEFA4AFA2A490DA,\n  0xBC8DAE98E223747D, 0x3FEFAF482D8E67F1,\n  0x3C8EC3BC41AA2008, 0x3FEFBA1BEE615A27,\n  0x3C842B94C3A9EB32, 0x3FEFC52B376BBA97,\n  0x3C8A64A931D185EE, 0x3FEFD0765B6E4540,\n  0xBC8E37BAE43BE3ED, 0x3FEFDBFDAD9CBE14,\n  0x3C77893B4D91CD9D, 0x3FEFE7C1819E90D8,\n  0x3C5305C14160CC89, 0x3FEFF3C22B8F71F1\n]);\n\n// Handle cases that may overflow or underflow when computing the result that\n// is scale*(1+TMP) without intermediate rounding. The bit representation of\n// scale is in SBITS, however it has a computed exponent that may have\n// overflown into the sign bit so that needs to be adjusted before using it as\n// a double.  (int32_t)KI is the k used in the argument reduction and exponent\n// adjustment of scale, positive k here means the result may overflow and\n// negative k means the result may underflow.\n// @ts-ignore: decorator\n@inline\nfunction specialcase(tmp: f64, sbits: u64, ki: u64): f64 {\n  const\n    Ox1p_1022 = reinterpret<f64>(0x0010000000000000), // 0x1p-1022\n    Ox1p1009  = reinterpret<f64>(0x7F00000000000000); // 0x1p1009\n\n  let scale: f64;\n  if (!(ki & 0x80000000)) {\n    // k > 0, the exponent of scale might have overflowed by <= 460.\n    sbits -= u64(1009) << 52;\n    scale = reinterpret<f64>(sbits);\n    return Ox1p1009 * (scale + scale * tmp); // 0x1p1009\n  }\n  // k < 0, need special care in the subnormal range.\n  sbits += u64(1022) << 52;\n  // Note: sbits is signed scale.\n  scale = reinterpret<f64>(sbits);\n  let y = scale + scale * tmp;\n  if (abs(y) < 1.0) {\n    // Round y to the right precision before scaling it into the subnormal\n    // range to avoid double rounding that can cause 0.5+E/2 ulp error where\n    // E is the worst-case ulp error outside the subnormal range.  So this\n    // is only useful if the goal is better than 1 ulp worst-case error.\n    let one = copysign(1.0, y);\n    let lo = scale - y + scale * tmp;\n    let hi = one + y;\n    lo = one - hi + y + lo;\n    y  = (hi + lo) - one;\n    // Fix the sign of 0.\n    if (y == 0.0) y = reinterpret<f64>(sbits & 0x8000000000000000);\n  }\n  return y * Ox1p_1022;\n}\n\n// @ts-ignore: decorator\n@inline\nexport function exp_lut(x: f64): f64 {\n  const\n    N      = 1 << EXP_TABLE_BITS,\n    N_MASK = N - 1;\n\n  const\n    InvLn2N   = reinterpret<f64>(0x3FF71547652B82FE) * N, // 0x1.71547652b82fep0\n    NegLn2hiN = reinterpret<f64>(0xBF762E42FEFA0000),     // -0x1.62e42fefa0000p-8\n    NegLn2loN = reinterpret<f64>(0xBD0CF79ABC9E3B3A),     // -0x1.cf79abc9e3b3ap-47\n    shift     = reinterpret<f64>(0x4338000000000000);     // 0x1.8p52;\n\n  const\n    C2 = reinterpret<f64>(0x3FDFFFFFFFFFFDBD), // __exp_data.poly[0] (0x1.ffffffffffdbdp-2)\n    C3 = reinterpret<f64>(0x3FC555555555543C), // __exp_data.poly[1] (0x1.555555555543cp-3)\n    C4 = reinterpret<f64>(0x3FA55555CF172B91), // __exp_data.poly[2] (0x1.55555cf172b91p-5)\n    C5 = reinterpret<f64>(0x3F81111167A4D017); // __exp_data.poly[3] (0x1.1111167a4d017p-7)\n\n  let ux = reinterpret<u64>(x);\n  let abstop = u32(ux >> 52) & 0x7FF;\n  if (abstop - 0x3C9 >= 0x03F) {\n    if (abstop - 0x3C9 >= 0x80000000) return 1;\n    if (abstop >= 0x409) {\n      if (ux == 0xFFF0000000000000) return 0;\n      if (abstop >= 0x7FF) {\n        return 1.0 + x;\n      } else {\n        return select<f64>(0, Infinity, <i64>ux < 0);\n      }\n    }\n    // Large x is special cased below.\n    abstop = 0;\n  }\n\n  // exp(x) = 2^(k/N) * exp(r), with exp(r) in [2^(-1/2N),2^(1/2N)]\n  // x = ln2/N*k + r, with int k and r in [-ln2/2N, ln2/2N]\n  let z = InvLn2N * x;\n  // #if TOINT_INTRINSICS\n  // \tkd = roundtoint(z);\n  // \tki = converttoint(z);\n  // #elif EXP_USE_TOINT_NARROW\n  // \t// z - kd is in [-0.5-2^-16, 0.5] in all rounding modes.\n  // let kd = z + shift;\n  // let ki = reinterpret<u64>(kd) >> 16;\n  // let kd = <f64><i32>ki;\n  // #else\n  // z - kd is in [-1, 1] in non-nearest rounding modes.\n  let kd = z + shift;\n  let ki = reinterpret<u64>(kd);\n  kd -= shift;\n  // #endif\n  let r = x + kd * NegLn2hiN + kd * NegLn2loN;\n  // 2^(k/N) ~= scale * (1 + tail).\n  let idx = usize((ki & N_MASK) << 1);\n  let top = ki << (52 - EXP_TABLE_BITS);\n\n  let tail = reinterpret<f64>(load<u64>(EXP_DATA_TAB + (idx << alignof<u64>()))); // T[idx]\n  // This is only a valid scale when -1023*N < k < 1024*N\n  let sbits = load<u64>(EXP_DATA_TAB + (idx << alignof<u64>()), 1 << alignof<u64>()) + top; // T[idx + 1]\n  // exp(x) = 2^(k/N) * exp(r) ~= scale + scale * (tail + exp(r) - 1).\n  // Evaluation is optimized assuming superscalar pipelined execution.\n  let r2 = r * r;\n  // Without fma the worst case error is 0.25/N ulp larger.\n  // Worst case error is less than 0.5+1.11/N+(abs poly error * 2^53) ulp.\n  let tmp = tail + r + r2 * (C2 + r * C3) + r2 * r2 * (C4 + r * C5);\n  if (abstop == 0) return specialcase(tmp, sbits, ki);\n  let scale = reinterpret<f64>(sbits);\n  // Note: tmp == 0 or |tmp| > 2^-200 and scale > 2^-739, so there\n  // is no spurious underflow here even without fma.\n  return scale + scale * tmp;\n}\n\n//\n// Lookup data for exp2. See: https://git.musl-libc.org/cgit/musl/tree/src/math/exp2.c\n//\n\n// Handle cases that may overflow or underflow when computing the result that\n// is scale*(1+TMP) without intermediate rounding.  The bit representation of\n// scale is in SBITS, however it has a computed exponent that may have\n// overflown into the sign bit so that needs to be adjusted before using it as\n// a double.  (int32_t)KI is the k used in the argument reduction and exponent\n// adjustment of scale, positive k here means the result may overflow and\n// negative k means the result may underflow.\n// @ts-ignore: decorator\n@inline\nfunction specialcase2(tmp: f64, sbits: u64, ki: u64): f64 {\n  const Ox1p_1022 = reinterpret<f64>(0x10000000000000); // 0x1p-1022\n  let scale: f64;\n  if ((ki & 0x80000000) == 0) {\n    // k > 0, the exponent of scale might have overflowed by 1\n    sbits -= u64(1) << 52;\n    scale = reinterpret<f64>(sbits);\n    return 2 * (scale * tmp + scale);\n  }\n  // k < 0, need special care in the subnormal range\n  sbits += u64(1022) << 52;\n  scale = reinterpret<f64>(sbits);\n  let y = scale * tmp + scale;\n  if (y < 1.0) {\n    // Round y to the right precision before scaling it into the subnormal\n    // range to avoid double rounding that can cause 0.5+E/2 ulp error where\n    // E is the worst-case ulp error outside the subnormal range. So this\n    // is only useful if the goal is better than 1 ulp worst-case error.\n    let hi: f64, lo: f64;\n    lo = scale - y + scale * tmp;\n    hi = 1.0 + y;\n    lo = 1.0 - hi + y + lo;\n    y = (hi + lo) - 1.0;\n  }\n  return y * Ox1p_1022;\n}\n\n// @ts-ignore: decorator\n@inline\nexport function exp2_lut(x: f64): f64 {\n  const\n    N      = 1 << EXP_TABLE_BITS,\n    N_MASK = N - 1,\n    shift  = reinterpret<f64>(0x4338000000000000) / N; // 0x1.8p52\n\n  const\n    C1 = reinterpret<f64>(0x3FE62E42FEFA39EF), // 0x1.62e42fefa39efp-1\n    C2 = reinterpret<f64>(0x3FCEBFBDFF82C424), // 0x1.ebfbdff82c424p-3\n    C3 = reinterpret<f64>(0x3FAC6B08D70CF4B5), // 0x1.c6b08d70cf4b5p-5\n    C4 = reinterpret<f64>(0x3F83B2ABD24650CC), // 0x1.3b2abd24650ccp-7\n    C5 = reinterpret<f64>(0x3F55D7E09B4E3A84); // 0x1.5d7e09b4e3a84p-10\n\n  let ux = reinterpret<u64>(x);\n  let abstop = u32(ux >> 52) & 0x7ff;\n  if (abstop - 0x3C9 >= 0x03F) {\n    if (abstop - 0x3C9 >= 0x80000000) return 1.0;\n    if (abstop >= 0x409) {\n      if (ux == 0xFFF0000000000000) return 0;\n      if (abstop >= 0x7FF) return 1.0 + x;\n      if (<i64>ux >= 0) return Infinity;\n      else if (ux >= 0xC090CC0000000000) return 0;\n    }\n    if ((ux << 1) > 0x811A000000000000) abstop = 0; // Large x is special cased below.\n  }\n\n  // exp2(x) = 2^(k/N) * 2^r, with 2^r in [2^(-1/2N),2^(1/2N)].\n  // x = k/N + r, with int k and r in [-1/2N, 1/2N]\n  let kd = x + shift;\n  let ki = reinterpret<u64>(kd);\n  kd -= shift; // k/N for int k\n  let r = x - kd;\n  // 2^(k/N) ~= scale * (1 + tail)\n  let idx = usize((ki & N_MASK) << 1);\n  let top = ki << (52 - EXP_TABLE_BITS);\n\n  let tail = reinterpret<f64>(load<u64>(EXP_DATA_TAB + (idx << alignof<u64>()), 0 << alignof<u64>())); // T[idx])\n  // This is only a valid scale when -1023*N < k < 1024*N\n  let sbits = load<u64>(EXP_DATA_TAB + (idx << alignof<u64>()), 1 << alignof<u64>()) + top; // T[idx + 1]\n  // exp2(x) = 2^(k/N) * 2^r ~= scale + scale * (tail + 2^r - 1).\n  // Evaluation is optimized assuming superscalar pipelined execution\n  let r2 = r * r;\n  // Without fma the worst case error is 0.5/N ulp larger.\n  // Worst case error is less than 0.5+0.86/N+(abs poly error * 2^53) ulp.\n  let tmp = tail + r * C1 + r2 * (C2 + r * C3) + r2 * r2 * (C4 + r * C5);\n  if (abstop == 0) return specialcase2(tmp, sbits, ki);\n  let scale = reinterpret<f64>(sbits);\n  // Note: tmp == 0 or |tmp| > 2^-65 and scale > 2^-928, so there\n  // is no spurious underflow here even without fma.\n  return scale * tmp + scale;\n}\n\n//\n// Lookup data for log2. See: https://git.musl-libc.org/cgit/musl/tree/src/math/log2.c\n//\n\n// @ts-ignore: decorator\n@inline const LOG2_TABLE_BITS = 6;\n\n/* Algorithm:\n\n  x = 2^k z\n  log2(x) = k + log2(c) + log2(z/c)\n  log2(z/c) = poly(z/c - 1)\n\nwhere z is in [1.6p-1; 1.6p0] which is split into N subintervals and z falls\ninto the ith one, then table entries are computed as\n\n  tab[i].invc = 1/c\n  tab[i].logc = (double)log2(c)\n  tab2[i].chi = (double)c\n  tab2[i].clo = (double)(c - (double)c)\n\nwhere c is near the center of the subinterval and is chosen by trying +-2^29\nfloating point invc candidates around 1/center and selecting one for which\n\n  1) the rounding error in 0x1.8p10 + logc is 0,\n  2) the rounding error in z - chi - clo is < 0x1p-64 and\n  3) the rounding error in (double)log2(c) is minimized (< 0x1p-68).\n\nNote: 1) ensures that k + logc can be computed without rounding error, 2)\nensures that z/c - 1 can be computed as (z - chi - clo)*invc with close to a\nsingle rounding error when there is no fast fma for z*invc - 1, 3) ensures\nthat logc + poly(z/c - 1) has small error, however near x == 1 when\n|log2(x)| < 0x1p-4, this is not enough so that is special cased. */\n\n// @ts-ignore: decorator\n@lazy @inline const LOG2_DATA_TAB1 = memory.data<u64>([\n  //     invc       ,        logc\n  0x3FF724286BB1ACF8, 0xBFE1095FEECDB000,\n  0x3FF6E1F766D2CCA1, 0xBFE08494BD76D000,\n  0x3FF6A13D0E30D48A, 0xBFE00143AEE8F800,\n  0x3FF661EC32D06C85, 0xBFDEFEC5360B4000,\n  0x3FF623FA951198F8, 0xBFDDFDD91AB7E000,\n  0x3FF5E75BA4CF026C, 0xBFDCFFAE0CC79000,\n  0x3FF5AC055A214FB8, 0xBFDC043811FDA000,\n  0x3FF571ED0F166E1E, 0xBFDB0B67323AE000,\n  0x3FF53909590BF835, 0xBFDA152F5A2DB000,\n  0x3FF5014FED61ADDD, 0xBFD9217F5AF86000,\n  0x3FF4CAB88E487BD0, 0xBFD8304DB0719000,\n  0x3FF49539B4334FEE, 0xBFD74189F9A9E000,\n  0x3FF460CBDFAFD569, 0xBFD6552BB5199000,\n  0x3FF42D664EE4B953, 0xBFD56B23A29B1000,\n  0x3FF3FB01111DD8A6, 0xBFD483650F5FA000,\n  0x3FF3C995B70C5836, 0xBFD39DE937F6A000,\n  0x3FF3991C4AB6FD4A, 0xBFD2BAA1538D6000,\n  0x3FF3698E0CE099B5, 0xBFD1D98340CA4000,\n  0x3FF33AE48213E7B2, 0xBFD0FA853A40E000,\n  0x3FF30D191985BDB1, 0xBFD01D9C32E73000,\n  0x3FF2E025CAB271D7, 0xBFCE857DA2FA6000,\n  0x3FF2B404CF13CD82, 0xBFCCD3C8633D8000,\n  0x3FF288B02C7CCB50, 0xBFCB26034C14A000,\n  0x3FF25E2263944DE5, 0xBFC97C1C2F4FE000,\n  0x3FF234563D8615B1, 0xBFC7D6023F800000,\n  0x3FF20B46E33EAF38, 0xBFC633A71A05E000,\n  0x3FF1E2EEFDCDA3DD, 0xBFC494F5E9570000,\n  0x3FF1BB4A580B3930, 0xBFC2F9E424E0A000,\n  0x3FF19453847F2200, 0xBFC162595AFDC000,\n  0x3FF16E06C0D5D73C, 0xBFBF9C9A75BD8000,\n  0x3FF1485F47B7E4C2, 0xBFBC7B575BF9C000,\n  0x3FF12358AD0085D1, 0xBFB960C60FF48000,\n  0x3FF0FEF00F532227, 0xBFB64CE247B60000,\n  0x3FF0DB2077D03A8F, 0xBFB33F78B2014000,\n  0x3FF0B7E6D65980D9, 0xBFB0387D1A42C000,\n  0x3FF0953EFE7B408D, 0xBFAA6F9208B50000,\n  0x3FF07325CAC53B83, 0xBFA47A954F770000,\n  0x3FF05197E40D1B5C, 0xBF9D23A8C50C0000,\n  0x3FF03091C1208EA2, 0xBF916A2629780000,\n  0x3FF0101025B37E21, 0xBF7720F8D8E80000,\n  0x3FEFC07EF9CAA76B, 0x3F86FE53B1500000,\n  0x3FEF4465D3F6F184, 0x3FA11CCCE10F8000,\n  0x3FEECC079F84107F, 0x3FAC4DFC8C8B8000,\n  0x3FEE573A99975AE8, 0x3FB3AA321E574000,\n  0x3FEDE5D6F0BD3DE6, 0x3FB918A0D08B8000,\n  0x3FED77B681FF38B3, 0x3FBE72E9DA044000,\n  0x3FED0CB5724DE943, 0x3FC1DCD2507F6000,\n  0x3FECA4B2DC0E7563, 0x3FC476AB03DEA000,\n  0x3FEC3F8EE8D6CB51, 0x3FC7074377E22000,\n  0x3FEBDD2B4F020C4C, 0x3FC98EDE8BA94000,\n  0x3FEB7D6C006015CA, 0x3FCC0DB86AD2E000,\n  0x3FEB20366E2E338F, 0x3FCE840AAFCEE000,\n  0x3FEAC57026295039, 0x3FD0790AB4678000,\n  0x3FEA6D01BC2731DD, 0x3FD1AC056801C000,\n  0x3FEA16D3BC3FF18B, 0x3FD2DB11D4FEE000,\n  0x3FE9C2D14967FEAD, 0x3FD406464EC58000,\n  0x3FE970E4F47C9902, 0x3FD52DBE093AF000,\n  0x3FE920FB3982BCF2, 0x3FD651902050D000,\n  0x3FE8D30187F759F1, 0x3FD771D2CDEAF000,\n  0x3FE886E5EBB9F66D, 0x3FD88E9C857D9000,\n  0x3FE83C97B658B994, 0x3FD9A80155E16000,\n  0x3FE7F405FFC61022, 0x3FDABE186ED3D000,\n  0x3FE7AD22181415CA, 0x3FDBD0F2AEA0E000,\n  0x3FE767DCF99EFF8C, 0x3FDCE0A43DBF4000\n]);\n\n// @ts-ignore: decorator\n@lazy @inline const LOG2_DATA_TAB2 = memory.data<u64>([\n  //      chi       ,         clo\n  0x3FE6200012B90A8E, 0x3C8904AB0644B605,\n  0x3FE66000045734A6, 0x3C61FF9BEA62F7A9,\n  0x3FE69FFFC325F2C5, 0x3C827ECFCB3C90BA,\n  0x3FE6E00038B95A04, 0x3C88FF8856739326,\n  0x3FE71FFFE09994E3, 0x3C8AFD40275F82B1,\n  0x3FE7600015590E10, 0xBC72FD75B4238341,\n  0x3FE7A00012655BD5, 0x3C7808E67C242B76,\n  0x3FE7E0003259E9A6, 0xBC6208E426F622B7,\n  0x3FE81FFFEDB4B2D2, 0xBC8402461EA5C92F,\n  0x3FE860002DFAFCC3, 0x3C6DF7F4A2F29A1F,\n  0x3FE89FFFF78C6B50, 0xBC8E0453094995FD,\n  0x3FE8E00039671566, 0xBC8A04F3BEC77B45,\n  0x3FE91FFFE2BF1745, 0xBC77FA34400E203C,\n  0x3FE95FFFCC5C9FD1, 0xBC76FF8005A0695D,\n  0x3FE9A0003BBA4767, 0x3C70F8C4C4EC7E03,\n  0x3FE9DFFFE7B92DA5, 0x3C8E7FD9478C4602,\n  0x3FEA1FFFD72EFDAF, 0xBC6A0C554DCDAE7E,\n  0x3FEA5FFFDE04FF95, 0x3C867DA98CE9B26B,\n  0x3FEA9FFFCA5E8D2B, 0xBC8284C9B54C13DE,\n  0x3FEADFFFDDAD03EA, 0x3C5812C8EA602E3C,\n  0x3FEB1FFFF10D3D4D, 0xBC8EFADDAD27789C,\n  0x3FEB5FFFCE21165A, 0x3C53CB1719C61237,\n  0x3FEB9FFFD950E674, 0x3C73F7D94194CE00,\n  0x3FEBE000139CA8AF, 0x3C750AC4215D9BC0,\n  0x3FEC20005B46DF99, 0x3C6BEEA653E9C1C9,\n  0x3FEC600040B9F7AE, 0xBC7C079F274A70D6,\n  0x3FECA0006255FD8A, 0xBC7A0B4076E84C1F,\n  0x3FECDFFFD94C095D, 0x3C88F933F99AB5D7,\n  0x3FED1FFFF975D6CF, 0xBC582C08665FE1BE,\n  0x3FED5FFFA2561C93, 0xBC7B04289BD295F3,\n  0x3FED9FFF9D228B0C, 0x3C870251340FA236,\n  0x3FEDE00065BC7E16, 0xBC75011E16A4D80C,\n  0x3FEE200002F64791, 0x3C89802F09EF62E0,\n  0x3FEE600057D7A6D8, 0xBC7E0B75580CF7FA,\n  0x3FEEA00027EDC00C, 0xBC8C848309459811,\n  0x3FEEE0006CF5CB7C, 0xBC8F8027951576F4,\n  0x3FEF2000782B7DCC, 0xBC8F81D97274538F,\n  0x3FEF6000260C450A, 0xBC4071002727FFDC,\n  0x3FEF9FFFE88CD533, 0xBC581BDCE1FDA8B0,\n  0x3FEFDFFFD50F8689, 0x3C87F91ACB918E6E,\n  0x3FF0200004292367, 0x3C9B7FF365324681,\n  0x3FF05FFFE3E3D668, 0x3C86FA08DDAE957B,\n  0x3FF0A0000A85A757, 0xBC57E2DE80D3FB91,\n  0x3FF0E0001A5F3FCC, 0xBC91823305C5F014,\n  0x3FF11FFFF8AFBAF5, 0xBC8BFABB6680BAC2,\n  0x3FF15FFFE54D91AD, 0xBC9D7F121737E7EF,\n  0x3FF1A00011AC36E1, 0x3C9C000A0516F5FF,\n  0x3FF1E00019C84248, 0xBC9082FBE4DA5DA0,\n  0x3FF220000FFE5E6E, 0xBC88FDD04C9CFB43,\n  0x3FF26000269FD891, 0x3C8CFE2A7994D182,\n  0x3FF2A00029A6E6DA, 0xBC700273715E8BC5,\n  0x3FF2DFFFE0293E39, 0x3C9B7C39DAB2A6F9,\n  0x3FF31FFFF7DCF082, 0x3C7DF1336EDC5254,\n  0x3FF35FFFF05A8B60, 0xBC9E03564CCD31EB,\n  0x3FF3A0002E0EAECC, 0x3C75F0E74BD3A477,\n  0x3FF3E000043BB236, 0x3C9C7DCB149D8833,\n  0x3FF4200002D187FF, 0x3C7E08AFCF2D3D28,\n  0x3FF460000D387CB1, 0x3C820837856599A6,\n  0x3FF4A00004569F89, 0xBC89FA5C904FBCD2,\n  0x3FF4E000043543F3, 0xBC781125ED175329,\n  0x3FF51FFFCC027F0F, 0x3C9883D8847754DC,\n  0x3FF55FFFFD87B36F, 0xBC8709E731D02807,\n  0x3FF59FFFF21DF7BA, 0x3C87F79F68727B02,\n  0x3FF5DFFFEBFC3481, 0xBC9180902E30E93E\n]);\n\n// @ts-ignore: decorator\n@inline\nexport function log2_lut(x: f64): f64 {\n  const N_MASK = (1 << LOG2_TABLE_BITS) - 1;\n\n  const\n    LO: u64 = 0x3FEEA4AF00000000, // reinterpret<u64>(1.0 - 0x1.5b51p-5)\n    HI: u64 = 0x3FF0B55900000000; // reinterpret<u64>(1.0 + 0x1.6ab2p-5)\n\n  const\n    InvLn2hi = reinterpret<f64>(0x3FF7154765200000), // 0x1.7154765200000p+0\n    InvLn2lo = reinterpret<f64>(0x3DE705FC2EEFA200), // 0x1.705fc2eefa200p-33\n    Ox1p52   = reinterpret<f64>(0x4330000000000000); // 0x1p52\n\n  const\n    B0 = reinterpret<f64>(0xBFE71547652B82FE), // -0x1.71547652b82fep-1\n    B1 = reinterpret<f64>(0x3FDEC709DC3A03F7), //  0x1.ec709dc3a03f7p-2\n    B2 = reinterpret<f64>(0xBFD71547652B7C3F), // -0x1.71547652b7c3fp-2\n    B3 = reinterpret<f64>(0x3FD2776C50F05BE4), //  0x1.2776c50f05be4p-2\n    B4 = reinterpret<f64>(0xBFCEC709DD768FE5), // -0x1.ec709dd768fe5p-3\n    B5 = reinterpret<f64>(0x3FCA61761EC4E736), //  0x1.a61761ec4e736p-3\n    B6 = reinterpret<f64>(0xBFC7153FBC64A79B), // -0x1.7153fbc64a79bp-3\n    B7 = reinterpret<f64>(0x3FC484D154F01B4A), //  0x1.484d154f01b4ap-3\n    B8 = reinterpret<f64>(0xBFC289E4A72C383C), // -0x1.289e4a72c383cp-3\n    B9 = reinterpret<f64>(0x3FC0B32F285AEE66); //  0x1.0b32f285aee66p-3\n\n  const\n    A0 = reinterpret<f64>(0xBFE71547652B8339), // -0x1.71547652b8339p-1\n    A1 = reinterpret<f64>(0x3FDEC709DC3A04BE), //  0x1.ec709dc3a04bep-2\n    A2 = reinterpret<f64>(0xBFD7154764702FFB), // -0x1.7154764702ffbp-2\n    A3 = reinterpret<f64>(0x3FD2776C50034C48), //  0x1.2776c50034c48p-2\n    A4 = reinterpret<f64>(0xBFCEC7B328EA92BC), // -0x1.ec7b328ea92bcp-3\n    A5 = reinterpret<f64>(0x3FCA6225E117F92E); //  0x1.a6225e117f92ep-3\n\n  let ix = reinterpret<u64>(x);\n  if (ix - LO < HI - LO) {\n    let r = x - 1.0;\n    // #if __FP_FAST_FMA\n    //     hi = r * InvLn2hi;\n    //     lo = r * InvLn2lo + __builtin_fma(r, InvLn2hi, -hi);\n    // #else\n    let rhi = reinterpret<f64>(reinterpret<u64>(r) & 0xFFFFFFFF00000000);\n    let rlo = r - rhi;\n    let hi  = rhi * InvLn2hi;\n    let lo  = rlo * InvLn2hi + r * InvLn2lo;\n    // #endif\n    let r2 = r * r; // rounding error: 0x1p-62\n    let r4 = r2 * r2;\n    // Worst-case error is less than 0.54 ULP (0.55 ULP without fma)\n    let p = r2 * (B0 + r * B1);\n    let y = hi + p;\n    lo += hi - y + p;\n    lo += r4 * (B2 + r * B3 + r2 * (B4 + r * B5) +\n          r4 * (B6 + r * B7 + r2 * (B8 + r * B9)));\n    return y + lo;\n  }\n  let top = u32(ix >> 48);\n  if (top - 0x0010 >= 0x7ff0 - 0x0010) {\n    // x < 0x1p-1022 or inf or nan.\n    if ((ix << 1) == 0) return -1.0 / (x * x);\n    if (ix == 0x7FF0000000000000) return x; // log(inf) == inf\n    if ((top & 0x8000) || (top & 0x7FF0) == 0x7FF0) return (x - x) / (x - x);\n    // x is subnormal, normalize it.\n    ix = reinterpret<u64>(x * Ox1p52);\n    ix -= u64(52) << 52;\n  }\n\n  // x = 2^k z; where z is in range [OFF,2*OFF) and exact.\n  // The range is split into N subintervals.\n  // The ith subinterval contains z and c is near its center.\n  let tmp  = ix - 0x3FE6000000000000;\n  let i    = <usize>((tmp >> (52 - LOG2_TABLE_BITS)) & N_MASK);\n  let k    = <i64>tmp >> 52;\n  let iz   = ix - (tmp & 0xFFF0000000000000);\n\n  let invc = load<f64>(LOG2_DATA_TAB1  + (i << (1 + alignof<f64>())), 0 << alignof<f64>()); // T[i].invc;\n  let logc = load<f64>(LOG2_DATA_TAB1  + (i << (1 + alignof<f64>())), 1 << alignof<f64>()); // T[i].logc;\n  let z    = reinterpret<f64>(iz);\n  let kd   = <f64>k;\n\n  // log2(x) = log2(z/c) + log2(c) + k.\n  // r ~= z/c - 1, |r| < 1/(2*N).\n  // #if __FP_FAST_FMA\n  // \t// rounding error: 0x1p-55/N.\n  // \tr = __builtin_fma(z, invc, -1.0);\n  // \tt1 = r * InvLn2hi;\n  // \tt2 = r * InvLn2lo + __builtin_fma(r, InvLn2hi, -t1);\n  // #else\n  // rounding error: 0x1p-55/N + 0x1p-65.\n  let chi = load<f64>(LOG2_DATA_TAB2 + (i << (1 + alignof<f64>())), 0 << alignof<f64>()); // T[i].chi;\n  let clo = load<f64>(LOG2_DATA_TAB2 + (i << (1 + alignof<f64>())), 1 << alignof<f64>()); // T[i].clo;\n\n  let r   = (z - chi - clo) * invc;\n  let rhi = reinterpret<f64>(reinterpret<u64>(r) & 0xFFFFFFFF00000000);\n  let rlo = r - rhi;\n  let t1  = rhi * InvLn2hi;\n  let t2  = rlo * InvLn2hi + r * InvLn2lo;\n  // #endif\n\n  // hi + lo = r/ln2 + log2(c) + k\n  let t3 = kd + logc;\n  let hi = t3 + t1;\n  let lo = t3 - hi + t1 + t2;\n\n  // log2(r+1) = r/ln2 + r^2*poly(r)\n  // Evaluation is optimized assuming superscalar pipelined execution\n  let r2 = r * r; // rounding error: 0x1p-54/N^2\n  // Worst-case error if |y| > 0x1p-4: 0.547 ULP (0.550 ULP without fma).\n  // ~ 0.5 + 2/N/ln2 + abs-poly-error*0x1p56 ULP (+ 0.003 ULP without fma).\n  let p = A0 + r * A1 + r2 * (A2 + r * A3) + (r2 * r2) * (A4 + r * A5);\n  return lo + r2 * p + hi;\n}\n\n//\n// Lookup data for log. See: https://git.musl-libc.org/cgit/musl/tree/src/math/log.c\n//\n\n// @ts-ignore: decorator\n@inline const LOG_TABLE_BITS = 7;\n\n/* Algorithm:\n\n  x = 2^k z\n  log(x) = k ln2 + log(c) + log(z/c)\n  log(z/c) = poly(z/c - 1)\n\nwhere z is in [1.6p-1; 1.6p0] which is split into N subintervals and z falls\ninto the ith one, then table entries are computed as\n\n  tab[i].invc = 1/c\n  tab[i].logc = (double)log(c)\n  tab2[i].chi = (double)c\n  tab2[i].clo = (double)(c - (double)c)\n\nwhere c is near the center of the subinterval and is chosen by trying +-2^29\nfloating point invc candidates around 1/center and selecting one for which\n\n  1) the rounding error in 0x1.8p9 + logc is 0,\n  2) the rounding error in z - chi - clo is < 0x1p-66 and\n  3) the rounding error in (double)log(c) is minimized (< 0x1p-66).\n\nNote: 1) ensures that k*ln2hi + logc can be computed without rounding error,\n2) ensures that z/c - 1 can be computed as (z - chi - clo)*invc with close to\na single rounding error when there is no fast fma for z*invc - 1, 3) ensures\nthat logc + poly(z/c - 1) has small error, however near x == 1 when\n|log(x)| < 0x1p-4, this is not enough so that is special cased.*/\n\n// @ts-ignore: decorator\n@lazy @inline const LOG_DATA_TAB1 = memory.data<u64>([\n  //      invc      ,        logc\n  0x3FF734F0C3E0DE9F, 0xBFD7CC7F79E69000,\n  0x3FF713786A2CE91F, 0xBFD76FEEC20D0000,\n  0x3FF6F26008FAB5A0, 0xBFD713E31351E000,\n  0x3FF6D1A61F138C7D, 0xBFD6B85B38287800,\n  0x3FF6B1490BC5B4D1, 0xBFD65D5590807800,\n  0x3FF69147332F0CBA, 0xBFD602D076180000,\n  0x3FF6719F18224223, 0xBFD5A8CA86909000,\n  0x3FF6524F99A51ED9, 0xBFD54F4356035000,\n  0x3FF63356AA8F24C4, 0xBFD4F637C36B4000,\n  0x3FF614B36B9DDC14, 0xBFD49DA7FDA85000,\n  0x3FF5F66452C65C4C, 0xBFD445923989A800,\n  0x3FF5D867B5912C4F, 0xBFD3EDF439B0B800,\n  0x3FF5BABCCB5B90DE, 0xBFD396CE448F7000,\n  0x3FF59D61F2D91A78, 0xBFD3401E17BDA000,\n  0x3FF5805612465687, 0xBFD2E9E2EF468000,\n  0x3FF56397CEE76BD3, 0xBFD2941B3830E000,\n  0x3FF54725E2A77F93, 0xBFD23EC58CDA8800,\n  0x3FF52AFF42064583, 0xBFD1E9E129279000,\n  0x3FF50F22DBB2BDDF, 0xBFD1956D2B48F800,\n  0x3FF4F38F4734DED7, 0xBFD141679AB9F800,\n  0x3FF4D843CFDE2840, 0xBFD0EDD094EF9800,\n  0x3FF4BD3EC078A3C8, 0xBFD09AA518DB1000,\n  0x3FF4A27FC3E0258A, 0xBFD047E65263B800,\n  0x3FF4880524D48434, 0xBFCFEB224586F000,\n  0x3FF46DCE1B192D0B, 0xBFCF474A7517B000,\n  0x3FF453D9D3391854, 0xBFCEA4443D103000,\n  0x3FF43A2744B4845A, 0xBFCE020D44E9B000,\n  0x3FF420B54115F8FB, 0xBFCD60A22977F000,\n  0x3FF40782DA3EF4B1, 0xBFCCC00104959000,\n  0x3FF3EE8F5D57FE8F, 0xBFCC202956891000,\n  0x3FF3D5D9A00B4CE9, 0xBFCB81178D811000,\n  0x3FF3BD60C010C12B, 0xBFCAE2C9CCD3D000,\n  0x3FF3A5242B75DAB8, 0xBFCA45402E129000,\n  0x3FF38D22CD9FD002, 0xBFC9A877681DF000,\n  0x3FF3755BC5847A1C, 0xBFC90C6D69483000,\n  0x3FF35DCE49AD36E2, 0xBFC87120A645C000,\n  0x3FF34679984DD440, 0xBFC7D68FB4143000,\n  0x3FF32F5CCEFFCB24, 0xBFC73CB83C627000,\n  0x3FF3187775A10D49, 0xBFC6A39A9B376000,\n  0x3FF301C8373E3990, 0xBFC60B3154B7A000,\n  0x3FF2EB4EBB95F841, 0xBFC5737D76243000,\n  0x3FF2D50A0219A9D1, 0xBFC4DC7B8FC23000,\n  0x3FF2BEF9A8B7FD2A, 0xBFC4462C51D20000,\n  0x3FF2A91C7A0C1BAB, 0xBFC3B08ABC830000,\n  0x3FF293726014B530, 0xBFC31B996B490000,\n  0x3FF27DFA5757A1F5, 0xBFC2875490A44000,\n  0x3FF268B39B1D3BBF, 0xBFC1F3B9F879A000,\n  0x3FF2539D838FF5BD, 0xBFC160C8252CA000,\n  0x3FF23EB7AAC9083B, 0xBFC0CE7F57F72000,\n  0x3FF22A012BA940B6, 0xBFC03CDC49FEA000,\n  0x3FF2157996CC4132, 0xBFBF57BDBC4B8000,\n  0x3FF201201DD2FC9B, 0xBFBE370896404000,\n  0x3FF1ECF4494D480B, 0xBFBD17983EF94000,\n  0x3FF1D8F5528F6569, 0xBFBBF9674ED8A000,\n  0x3FF1C52311577E7C, 0xBFBADC79202F6000,\n  0x3FF1B17C74CB26E9, 0xBFB9C0C3E7288000,\n  0x3FF19E010C2C1AB6, 0xBFB8A646B372C000,\n  0x3FF18AB07BB670BD, 0xBFB78D01B3AC0000,\n  0x3FF1778A25EFBCB6, 0xBFB674F145380000,\n  0x3FF1648D354C31DA, 0xBFB55E0E6D878000,\n  0x3FF151B990275FDD, 0xBFB4485CDEA1E000,\n  0x3FF13F0EA432D24C, 0xBFB333D94D6AA000,\n  0x3FF12C8B7210F9DA, 0xBFB22079F8C56000,\n  0x3FF11A3028ECB531, 0xBFB10E4698622000,\n  0x3FF107FBDA8434AF, 0xBFAFFA6C6AD20000,\n  0x3FF0F5EE0F4E6BB3, 0xBFADDA8D4A774000,\n  0x3FF0E4065D2A9FCE, 0xBFABBCECE4850000,\n  0x3FF0D244632CA521, 0xBFA9A1894012C000,\n  0x3FF0C0A77CE2981A, 0xBFA788583302C000,\n  0x3FF0AF2F83C636D1, 0xBFA5715E67D68000,\n  0x3FF09DDB98A01339, 0xBFA35C8A49658000,\n  0x3FF08CABAF52E7DF, 0xBFA149E364154000,\n  0x3FF07B9F2F4E28FB, 0xBF9E72C082EB8000,\n  0x3FF06AB58C358F19, 0xBF9A55F152528000,\n  0x3FF059EEA5ECF92C, 0xBF963D62CF818000,\n  0x3FF04949CDD12C90, 0xBF9228FB8CAA0000,\n  0x3FF038C6C6F0ADA9, 0xBF8C317B20F90000,\n  0x3FF02865137932A9, 0xBF8419355DAA0000,\n  0x3FF0182427EA7348, 0xBF781203C2EC0000,\n  0x3FF008040614B195, 0xBF60040979240000,\n  0x3FEFE01FF726FA1A, 0x3F6FEFF384900000,\n  0x3FEFA11CC261EA74, 0x3F87DC41353D0000,\n  0x3FEF6310B081992E, 0x3F93CEA3C4C28000,\n  0x3FEF25F63CEEADCD, 0x3F9B9FC114890000,\n  0x3FEEE9C8039113E7, 0x3FA1B0D8CE110000,\n  0x3FEEAE8078CBB1AB, 0x3FA58A5BD001C000,\n  0x3FEE741AA29D0C9B, 0x3FA95C8340D88000,\n  0x3FEE3A91830A99B5, 0x3FAD276AEF578000,\n  0x3FEE01E009609A56, 0x3FB07598E598C000,\n  0x3FEDCA01E577BB98, 0x3FB253F5E30D2000,\n  0x3FED92F20B7C9103, 0x3FB42EDD8B380000,\n  0x3FED5CAC66FB5CCE, 0x3FB606598757C000,\n  0x3FED272CAA5EDE9D, 0x3FB7DA76356A0000,\n  0x3FECF26E3E6B2CCD, 0x3FB9AB434E1C6000,\n  0x3FECBE6DA2A77902, 0x3FBB78C7BB0D6000,\n  0x3FEC8B266D37086D, 0x3FBD431332E72000,\n  0x3FEC5894BD5D5804, 0x3FBF0A3171DE6000,\n  0x3FEC26B533BB9F8C, 0x3FC067152B914000,\n  0x3FEBF583EEECE73F, 0x3FC147858292B000,\n  0x3FEBC4FD75DB96C1, 0x3FC2266ECDCA3000,\n  0x3FEB951E0C864A28, 0x3FC303D7A6C55000,\n  0x3FEB65E2C5EF3E2C, 0x3FC3DFC33C331000,\n  0x3FEB374867C9888B, 0x3FC4BA366B7A8000,\n  0x3FEB094B211D304A, 0x3FC5933928D1F000,\n  0x3FEADBE885F2EF7E, 0x3FC66ACD2418F000,\n  0x3FEAAF1D31603DA2, 0x3FC740F8EC669000,\n  0x3FEA82E63FD358A7, 0x3FC815C0F51AF000,\n  0x3FEA5740EF09738B, 0x3FC8E92954F68000,\n  0x3FEA2C2A90AB4B27, 0x3FC9BB3602F84000,\n  0x3FEA01A01393F2D1, 0x3FCA8BED1C2C0000,\n  0x3FE9D79F24DB3C1B, 0x3FCB5B515C01D000,\n  0x3FE9AE2505C7B190, 0x3FCC2967CCBCC000,\n  0x3FE9852EF297CE2F, 0x3FCCF635D5486000,\n  0x3FE95CBAEEA44B75, 0x3FCDC1BD3446C000,\n  0x3FE934C69DE74838, 0x3FCE8C01B8CFE000,\n  0x3FE90D4F2F6752E6, 0x3FCF5509C0179000,\n  0x3FE8E6528EFFD79D, 0x3FD00E6C121FB800,\n  0x3FE8BFCE9FCC007C, 0x3FD071B80E93D000,\n  0x3FE899C0DABEC30E, 0x3FD0D46B9E867000,\n  0x3FE87427AA2317FB, 0x3FD13687334BD000,\n  0x3FE84F00ACB39A08, 0x3FD1980D67234800,\n  0x3FE82A49E8653E55, 0x3FD1F8FFE0CC8000,\n  0x3FE8060195F40260, 0x3FD2595FD7636800,\n  0x3FE7E22563E0A329, 0x3FD2B9300914A800,\n  0x3FE7BEB377DCB5AD, 0x3FD3187210436000,\n  0x3FE79BAA679725C2, 0x3FD377266DEC1800,\n  0x3FE77907F2170657, 0x3FD3D54FFBAF3000,\n  0x3FE756CADBD6130C, 0x3FD432EEE32FE000\n]);\n\n// @ts-ignore: decorator\n@lazy @inline const LOG_DATA_TAB2 = memory.data<u64>([\n  //      chi       ,         clo\n  0x3FE61000014FB66B, 0x3C7E026C91425B3C,\n  0x3FE63000034DB495, 0x3C8DBFEA48005D41,\n  0x3FE650000D94D478, 0x3C8E7FA786D6A5B7,\n  0x3FE67000074E6FAD, 0x3C61FCEA6B54254C,\n  0x3FE68FFFFEDF0FAE, 0xBC7C7E274C590EFD,\n  0x3FE6B0000763C5BC, 0xBC8AC16848DCDA01,\n  0x3FE6D0001E5CC1F6, 0x3C833F1C9D499311,\n  0x3FE6EFFFEB05F63E, 0xBC7E80041AE22D53,\n  0x3FE710000E869780, 0x3C7BFF6671097952,\n  0x3FE72FFFFC67E912, 0x3C8C00E226BD8724,\n  0x3FE74FFFDF81116A, 0xBC6E02916EF101D2,\n  0x3FE770000F679C90, 0xBC67FC71CD549C74,\n  0x3FE78FFFFA7EC835, 0x3C81BEC19EF50483,\n  0x3FE7AFFFFE20C2E6, 0xBC707E1729CC6465,\n  0x3FE7CFFFED3FC900, 0xBC808072087B8B1C,\n  0x3FE7EFFFE9261A76, 0x3C8DC0286D9DF9AE,\n  0x3FE81000049CA3E8, 0x3C897FD251E54C33,\n  0x3FE8300017932C8F, 0xBC8AFEE9B630F381,\n  0x3FE850000633739C, 0x3C89BFBF6B6535BC,\n  0x3FE87000204289C6, 0xBC8BBF65F3117B75,\n  0x3FE88FFFEBF57904, 0xBC89006EA23DCB57,\n  0x3FE8B00022BC04DF, 0xBC7D00DF38E04B0A,\n  0x3FE8CFFFE50C1B8A, 0xBC88007146FF9F05,\n  0x3FE8EFFFFC918E43, 0x3C83817BD07A7038,\n  0x3FE910001EFA5FC7, 0x3C893E9176DFB403,\n  0x3FE9300013467BB9, 0x3C7F804E4B980276,\n  0x3FE94FFFE6EE076F, 0xBC8F7EF0D9FF622E,\n  0x3FE96FFFDE3C12D1, 0xBC7082AA962638BA,\n  0x3FE98FFFF4458A0D, 0xBC87801B9164A8EF,\n  0x3FE9AFFFDD982E3E, 0xBC8740E08A5A9337,\n  0x3FE9CFFFED49FB66, 0x3C3FCE08C19BE000,\n  0x3FE9F00020F19C51, 0xBC8A3FAA27885B0A,\n  0x3FEA10001145B006, 0x3C74FF489958DA56,\n  0x3FEA300007BBF6FA, 0x3C8CBEAB8A2B6D18,\n  0x3FEA500010971D79, 0x3C88FECADD787930,\n  0x3FEA70001DF52E48, 0xBC8F41763DD8ABDB,\n  0x3FEA90001C593352, 0xBC8EBF0284C27612,\n  0x3FEAB0002A4F3E4B, 0xBC69FD043CFF3F5F,\n  0x3FEACFFFD7AE1ED1, 0xBC823EE7129070B4,\n  0x3FEAEFFFEE510478, 0x3C6A063EE00EDEA3,\n  0x3FEB0FFFDB650D5B, 0x3C5A06C8381F0AB9,\n  0x3FEB2FFFFEAACA57, 0xBC79011E74233C1D,\n  0x3FEB4FFFD995BADC, 0xBC79FF1068862A9F,\n  0x3FEB7000249E659C, 0x3C8AFF45D0864F3E,\n  0x3FEB8FFFF9871640, 0x3C7CFE7796C2C3F9,\n  0x3FEBAFFFD204CB4F, 0xBC63FF27EEF22BC4,\n  0x3FEBCFFFD2415C45, 0xBC6CFFB7EE3BEA21,\n  0x3FEBEFFFF86309DF, 0xBC814103972E0B5C,\n  0x3FEC0FFFE1B57653, 0x3C8BC16494B76A19,\n  0x3FEC2FFFF1FA57E3, 0xBC64FEEF8D30C6ED,\n  0x3FEC4FFFDCBFE424, 0xBC843F68BCEC4775,\n  0x3FEC6FFFED54B9F7, 0x3C847EA3F053E0EC,\n  0x3FEC8FFFEB998FD5, 0x3C7383068DF992F1,\n  0x3FECB0002125219A, 0xBC68FD8E64180E04,\n  0x3FECCFFFDD94469C, 0x3C8E7EBE1CC7EA72,\n  0x3FECEFFFEAFDC476, 0x3C8EBE39AD9F88FE,\n  0x3FED1000169AF82B, 0x3C757D91A8B95A71,\n  0x3FED30000D0FF71D, 0x3C89C1906970C7DA,\n  0x3FED4FFFEA790FC4, 0xBC580E37C558FE0C,\n  0x3FED70002EDC87E5, 0xBC7F80D64DC10F44,\n  0x3FED900021DC82AA, 0xBC747C8F94FD5C5C,\n  0x3FEDAFFFD86B0283, 0x3C8C7F1DC521617E,\n  0x3FEDD000296C4739, 0x3C88019EB2FFB153,\n  0x3FEDEFFFE54490F5, 0x3C6E00D2C652CC89,\n  0x3FEE0FFFCDABF694, 0xBC7F8340202D69D2,\n  0x3FEE2FFFDB52C8DD, 0x3C7B00C1CA1B0864,\n  0x3FEE4FFFF24216EF, 0x3C72FFA8B094AB51,\n  0x3FEE6FFFE88A5E11, 0xBC57F673B1EFBE59,\n  0x3FEE9000119EFF0D, 0xBC84808D5E0BC801,\n  0x3FEEAFFFDFA51744, 0x3C780006D54320B5,\n  0x3FEED0001A127FA1, 0xBC5002F860565C92,\n  0x3FEEF00007BABCC4, 0xBC8540445D35E611,\n  0x3FEF0FFFF57A8D02, 0xBC4FFB3139EF9105,\n  0x3FEF30001EE58AC7, 0x3C8A81ACF2731155,\n  0x3FEF4FFFF5823494, 0x3C8A3F41D4D7C743,\n  0x3FEF6FFFFCA94C6B, 0xBC6202F41C987875,\n  0x3FEF8FFFE1F9C441, 0x3C777DD1F477E74B,\n  0x3FEFAFFFD2E0E37E, 0xBC6F01199A7CA331,\n  0x3FEFD0001C77E49E, 0x3C7181EE4BCEACB1,\n  0x3FEFEFFFF7E0C331, 0xBC6E05370170875A,\n  0x3FF00FFFF465606E, 0xBC8A7EAD491C0ADA,\n  0x3FF02FFFF3867A58, 0xBC977F69C3FCB2E0,\n  0x3FF04FFFFDFC0D17, 0x3C97BFFE34CB945B,\n  0x3FF0700003CD4D82, 0x3C820083C0E456CB,\n  0x3FF08FFFF9F2CBE8, 0xBC6DFFDFBE37751A,\n  0x3FF0B000010CDA65, 0xBC913F7FAEE626EB,\n  0x3FF0D00001A4D338, 0x3C807DFA79489FF7,\n  0x3FF0EFFFFADAFDFD, 0xBC77040570D66BC0,\n  0x3FF110000BBAFD96, 0x3C8E80D4846D0B62,\n  0x3FF12FFFFAE5F45D, 0x3C9DBFFA64FD36EF,\n  0x3FF150000DD59AD9, 0x3C9A0077701250AE,\n  0x3FF170000F21559A, 0x3C8DFDF9E2E3DEEE,\n  0x3FF18FFFFC275426, 0x3C910030DC3B7273,\n  0x3FF1B000123D3C59, 0x3C997F7980030188,\n  0x3FF1CFFFF8299EB7, 0xBC65F932AB9F8C67,\n  0x3FF1EFFFF48AD400, 0x3C937FBF9DA75BEB,\n  0x3FF210000C8B86A4, 0x3C9F806B91FD5B22,\n  0x3FF2300003854303, 0x3C93FFC2EB9FBF33,\n  0x3FF24FFFFFBCF684, 0x3C7601E77E2E2E72,\n  0x3FF26FFFF52921D9, 0x3C7FFCBB767F0C61,\n  0x3FF2900014933A3C, 0xBC7202CA3C02412B,\n  0x3FF2B00014556313, 0xBC92808233F21F02,\n  0x3FF2CFFFEBFE523B, 0xBC88FF7E384FDCF2,\n  0x3FF2F0000BB8AD96, 0xBC85FF51503041C5,\n  0x3FF30FFFFB7AE2AF, 0xBC810071885E289D,\n  0x3FF32FFFFEAC5F7F, 0xBC91FF5D3FB7B715,\n  0x3FF350000CA66756, 0x3C957F82228B82BD,\n  0x3FF3700011FBF721, 0x3C8000BAC40DD5CC,\n  0x3FF38FFFF9592FB9, 0xBC943F9D2DB2A751,\n  0x3FF3B00004DDD242, 0x3C857F6B707638E1,\n  0x3FF3CFFFF5B2C957, 0x3C7A023A10BF1231,\n  0x3FF3EFFFEAB0B418, 0x3C987F6D66B152B0,\n  0x3FF410001532AFF4, 0x3C67F8375F198524,\n  0x3FF4300017478B29, 0x3C8301E672DC5143,\n  0x3FF44FFFE795B463, 0x3C89FF69B8B2895A,\n  0x3FF46FFFE80475E0, 0xBC95C0B19BC2F254,\n  0x3FF48FFFEF6FC1E7, 0x3C9B4009F23A2A72,\n  0x3FF4AFFFE5BEA704, 0xBC94FFB7BF0D7D45,\n  0x3FF4D000171027DE, 0xBC99C06471DC6A3D,\n  0x3FF4F0000FF03EE2, 0x3C977F890B85531C,\n  0x3FF5100012DC4BD1, 0x3C6004657166A436,\n  0x3FF530001605277A, 0xBC96BFCECE233209,\n  0x3FF54FFFECDB704C, 0xBC8902720505A1D7,\n  0x3FF56FFFEF5F54A9, 0x3C9BBFE60EC96412,\n  0x3FF5900017E61012, 0x3C887EC581AFEF90,\n  0x3FF5B00003C93E92, 0xBC9F41080ABF0CC0,\n  0x3FF5D0001D4919BC, 0xBC98812AFB254729,\n  0x3FF5EFFFE7B87A89, 0xBC947EB780ED6904\n]);\n\n// @ts-ignore: decorator\n@inline\nexport function log_lut(x: f64): f64 {\n  const N_MASK = (1 << LOG_TABLE_BITS) - 1;\n\n  const\n    B0  = reinterpret<f64>(0xBFE0000000000000), // -0x1p-1\n    B1  = reinterpret<f64>(0x3FD5555555555577), //  0x1.5555555555577p-2\n    B2  = reinterpret<f64>(0xBFCFFFFFFFFFFDCB), // -0x1.ffffffffffdcbp-3\n    B3  = reinterpret<f64>(0x3FC999999995DD0C), //  0x1.999999995dd0cp-3\n    B4  = reinterpret<f64>(0xBFC55555556745A7), // -0x1.55555556745a7p-3\n    B5  = reinterpret<f64>(0x3FC24924A344DE30), //  0x1.24924a344de3p-3\n    B6  = reinterpret<f64>(0xBFBFFFFFA4423D65), // -0x1.fffffa4423d65p-4\n    B7  = reinterpret<f64>(0x3FBC7184282AD6CA), //  0x1.c7184282ad6cap-4\n    B8  = reinterpret<f64>(0xBFB999EB43B068FF), // -0x1.999eb43b068ffp-4\n    B9  = reinterpret<f64>(0x3FB78182F7AFD085), //  0x1.78182f7afd085p-4\n    B10 = reinterpret<f64>(0xBFB5521375D145CD); // -0x1.5521375d145cdp-4\n\n  const\n    A0 = reinterpret<f64>(0xBFE0000000000001),  // -0x1.0000000000001p-1\n    A1 = reinterpret<f64>(0x3FD555555551305B),  //  0x1.555555551305bp-2\n    A2 = reinterpret<f64>(0xBFCFFFFFFFEB4590),  // -0x1.fffffffeb459p-3\n    A3 = reinterpret<f64>(0x3FC999B324F10111),  //  0x1.999b324f10111p-3\n    A4 = reinterpret<f64>(0xBFC55575E506C89F);  // -0x1.55575e506c89fp-3\n\n  const\n    LO: u64 = 0x3FEE000000000000,\n    HI: u64 = 0x3FF1090000000000;\n\n  const\n    Ln2hi  = reinterpret<f64>(0x3FE62E42FEFA3800), // 0x1.62e42fefa3800p-1\n    Ln2lo  = reinterpret<f64>(0x3D2EF35793C76730), // 0x1.ef35793c76730p-45\n    Ox1p27 = reinterpret<f64>(0x41A0000000000000), // 0x1p27\n    Ox1p52 = reinterpret<f64>(0x4330000000000000); // 0x1p52\n\n  let ix = reinterpret<u64>(x);\n  if (ix - LO < HI - LO) {\n    let r  = x - 1.0;\n    let r2 = r * r;\n    let r3 = r2 * r;\n    let y =\n      r3 * (B1 + r * B2 + r2 * B3 +\n      r3 * (B4 + r * B5 + r2 * B6 +\n      r3 * (B7 + r * B8 + r2 * B9 + r3 * B10)));\n    // Worst-case error is around 0.507 ULP\n    let w   = r * Ox1p27;\n    let rhi = r + w - w;\n    let rlo = r - rhi;\n    w = rhi * rhi * B0; // B[0] == -0.5\n    let hi = r + w;\n    let lo = r - hi + w;\n    lo += B0 * rlo * (rhi + r);\n    return y + lo + hi;\n  }\n  let top = u32(ix >> 48);\n  if (top - 0x0010 >= 0x7FF0 - 0x0010) {\n    // x < 0x1p-1022 or inf or nan\n    if ((ix << 1) == 0) return -1.0 / (x * x);\n    if (ix == reinterpret<u64>(Infinity)) return x; // log(inf) == inf\n    if ((top & 0x8000) || (top & 0x7FF0) == 0x7FF0) return (x - x) / (x - x);\n    // x is subnormal, normalize it\n    ix = reinterpret<u64>(x * Ox1p52);\n    ix -= u64(52) << 52;\n  }\n\n  // x = 2^k z; where z is in range [OFF,2*OFF) and exact.\n  // The range is split into N subintervals.\n  // The ith subinterval contains z and c is near its center.\n  let tmp  = ix - 0x3FE6000000000000;\n  let i    = <usize>((tmp >> (52 - LOG_TABLE_BITS)) & N_MASK);\n  let k    = <i64>tmp >> 52;\n  let iz   = ix - (tmp & (u64(0xFFF) << 52));\n\n  let invc = load<f64>(LOG_DATA_TAB1 + (i << (1 + alignof<f64>())), 0 << alignof<f64>()); // T[i].invc;\n  let logc = load<f64>(LOG_DATA_TAB1 + (i << (1 + alignof<f64>())), 1 << alignof<f64>()); // T[i].logc;\n  let z    = reinterpret<f64>(iz);\n\n  // log(x) = log1p(z/c-1) + log(c) + k*Ln2.\n  // r ~= z/c - 1, |r| < 1/(2*N)\n  // #if __FP_FAST_FMA\n  // \t// rounding error: 0x1p-55/N\n  // \tr = __builtin_fma(z, invc, -1.0);\n  // #else\n  // rounding error: 0x1p-55/N + 0x1p-66\n  const chi = load<f64>(LOG_DATA_TAB2 + (i << (1 + alignof<f64>())), 0 << alignof<f64>()); // T2[i].chi\n  const clo = load<f64>(LOG_DATA_TAB2 + (i << (1 + alignof<f64>())), 1 << alignof<f64>()); // T2[i].clo\n  let r = (z - chi - clo) * invc;\n  // #endif\n  let kd = <f64>k;\n\n  // hi + lo = r + log(c) + k*Ln2\n  let w  = kd * Ln2hi + logc;\n  let hi = w + r;\n  let lo = w - hi + r + kd * Ln2lo;\n\n  // log(x) = lo + (log1p(r) - r) + hi\n  let r2 = r * r; // rounding error: 0x1p-54/N^2\n  // Worst case error if |y| > 0x1p-5:\n  // 0.5 + 4.13/N + abs-poly-error*2^57 ULP (+ 0.002 ULP without fma)\n  // Worst case error if |y| > 0x1p-4:\n  // 0.5 + 2.06/N + abs-poly-error*2^56 ULP (+ 0.001 ULP without fma).\n  return lo + r2 * A0 + r * r2 * (A1 + r * A2 + r2 * (A3 + r * A4)) + hi;\n}\n\n//\n// Lookup data for pow. See: https://git.musl-libc.org/cgit/musl/tree/src/math/pow.c\n//\n\n// @ts-ignore: decorator\n@inline const POW_LOG_TABLE_BITS = 7;\n\n/* Algorithm:\n\n  x = 2^k z\n  log(x) = k ln2 + log(c) + log(z/c)\n  log(z/c) = poly(z/c - 1)\n\nwhere z is in [0x1.69555p-1; 0x1.69555p0] which is split into N subintervals\nand z falls into the ith one, then table entries are computed as\n\n  tab[i].invc = 1/c\n  tab[i].logc = round(0x1p43*log(c))/0x1p43\n  tab[i].logctail = (double)(log(c) - logc)\n\nwhere c is chosen near the center of the subinterval such that 1/c has only a\nfew precision bits so z/c - 1 is exactly representible as double:\n\n  1/c = center < 1 ? round(N/center)/N : round(2*N/center)/N/2\n\nNote: |z/c - 1| < 1/N for the chosen c, |log(c) - logc - logctail| < 0x1p-97,\nthe last few bits of logc are rounded away so k*ln2hi + logc has no rounding\nerror and the interval for z is selected such that near x == 1, where log(x)\nis tiny, large cancellation error is avoided in logc + poly(z/c - 1). */\n\n// @ts-ignore: decorator\n@lazy @inline const POW_LOG_DATA_TAB = memory.data<u64>([\n  //      invc      ,pad,       logc       ,       logctail\n  0x3FF6A00000000000, 0, 0xBFD62C82F2B9C800, 0x3CFAB42428375680,\n  0x3FF6800000000000, 0, 0xBFD5D1BDBF580800, 0xBD1CA508D8E0F720,\n  0x3FF6600000000000, 0, 0xBFD5767717455800, 0xBD2362A4D5B6506D,\n  0x3FF6400000000000, 0, 0xBFD51AAD872DF800, 0xBCE684E49EB067D5,\n  0x3FF6200000000000, 0, 0xBFD4BE5F95777800, 0xBD041B6993293EE0,\n  0x3FF6000000000000, 0, 0xBFD4618BC21C6000, 0x3D13D82F484C84CC,\n  0x3FF5E00000000000, 0, 0xBFD404308686A800, 0x3CDC42F3ED820B3A,\n  0x3FF5C00000000000, 0, 0xBFD3A64C55694800, 0x3D20B1C686519460,\n  0x3FF5A00000000000, 0, 0xBFD347DD9A988000, 0x3D25594DD4C58092,\n  0x3FF5800000000000, 0, 0xBFD2E8E2BAE12000, 0x3D267B1E99B72BD8,\n  0x3FF5600000000000, 0, 0xBFD2895A13DE8800, 0x3D15CA14B6CFB03F,\n  0x3FF5600000000000, 0, 0xBFD2895A13DE8800, 0x3D15CA14B6CFB03F,\n  0x3FF5400000000000, 0, 0xBFD22941FBCF7800, 0xBD165A242853DA76,\n  0x3FF5200000000000, 0, 0xBFD1C898C1699800, 0xBD1FAFBC68E75404,\n  0x3FF5000000000000, 0, 0xBFD1675CABABA800, 0x3D1F1FC63382A8F0,\n  0x3FF4E00000000000, 0, 0xBFD1058BF9AE4800, 0xBD26A8C4FD055A66,\n  0x3FF4C00000000000, 0, 0xBFD0A324E2739000, 0xBD0C6BEE7EF4030E,\n  0x3FF4A00000000000, 0, 0xBFD0402594B4D000, 0xBCF036B89EF42D7F,\n  0x3FF4A00000000000, 0, 0xBFD0402594B4D000, 0xBCF036B89EF42D7F,\n  0x3FF4800000000000, 0, 0xBFCFB9186D5E4000, 0x3D0D572AAB993C87,\n  0x3FF4600000000000, 0, 0xBFCEF0ADCBDC6000, 0x3D2B26B79C86AF24,\n  0x3FF4400000000000, 0, 0xBFCE27076E2AF000, 0xBD172F4F543FFF10,\n  0x3FF4200000000000, 0, 0xBFCD5C216B4FC000, 0x3D21BA91BBCA681B,\n  0x3FF4000000000000, 0, 0xBFCC8FF7C79AA000, 0x3D27794F689F8434,\n  0x3FF4000000000000, 0, 0xBFCC8FF7C79AA000, 0x3D27794F689F8434,\n  0x3FF3E00000000000, 0, 0xBFCBC286742D9000, 0x3D194EB0318BB78F,\n  0x3FF3C00000000000, 0, 0xBFCAF3C94E80C000, 0x3CBA4E633FCD9066,\n  0x3FF3A00000000000, 0, 0xBFCA23BC1FE2B000, 0xBD258C64DC46C1EA,\n  0x3FF3A00000000000, 0, 0xBFCA23BC1FE2B000, 0xBD258C64DC46C1EA,\n  0x3FF3800000000000, 0, 0xBFC9525A9CF45000, 0xBD2AD1D904C1D4E3,\n  0x3FF3600000000000, 0, 0xBFC87FA06520D000, 0x3D2BBDBF7FDBFA09,\n  0x3FF3400000000000, 0, 0xBFC7AB890210E000, 0x3D2BDB9072534A58,\n  0x3FF3400000000000, 0, 0xBFC7AB890210E000, 0x3D2BDB9072534A58,\n  0x3FF3200000000000, 0, 0xBFC6D60FE719D000, 0xBD10E46AA3B2E266,\n  0x3FF3000000000000, 0, 0xBFC5FF3070A79000, 0xBD1E9E439F105039,\n  0x3FF3000000000000, 0, 0xBFC5FF3070A79000, 0xBD1E9E439F105039,\n  0x3FF2E00000000000, 0, 0xBFC526E5E3A1B000, 0xBD20DE8B90075B8F,\n  0x3FF2C00000000000, 0, 0xBFC44D2B6CCB8000, 0x3D170CC16135783C,\n  0x3FF2C00000000000, 0, 0xBFC44D2B6CCB8000, 0x3D170CC16135783C,\n  0x3FF2A00000000000, 0, 0xBFC371FC201E9000, 0x3CF178864D27543A,\n  0x3FF2800000000000, 0, 0xBFC29552F81FF000, 0xBD248D301771C408,\n  0x3FF2600000000000, 0, 0xBFC1B72AD52F6000, 0xBD2E80A41811A396,\n  0x3FF2600000000000, 0, 0xBFC1B72AD52F6000, 0xBD2E80A41811A396,\n  0x3FF2400000000000, 0, 0xBFC0D77E7CD09000, 0x3D0A699688E85BF4,\n  0x3FF2400000000000, 0, 0xBFC0D77E7CD09000, 0x3D0A699688E85BF4,\n  0x3FF2200000000000, 0, 0xBFBFEC9131DBE000, 0xBD2575545CA333F2,\n  0x3FF2000000000000, 0, 0xBFBE27076E2B0000, 0x3D2A342C2AF0003C,\n  0x3FF2000000000000, 0, 0xBFBE27076E2B0000, 0x3D2A342C2AF0003C,\n  0x3FF1E00000000000, 0, 0xBFBC5E548F5BC000, 0xBD1D0C57585FBE06,\n  0x3FF1C00000000000, 0, 0xBFBA926D3A4AE000, 0x3D253935E85BAAC8,\n  0x3FF1C00000000000, 0, 0xBFBA926D3A4AE000, 0x3D253935E85BAAC8,\n  0x3FF1A00000000000, 0, 0xBFB8C345D631A000, 0x3D137C294D2F5668,\n  0x3FF1A00000000000, 0, 0xBFB8C345D631A000, 0x3D137C294D2F5668,\n  0x3FF1800000000000, 0, 0xBFB6F0D28AE56000, 0xBD269737C93373DA,\n  0x3FF1600000000000, 0, 0xBFB51B073F062000, 0x3D1F025B61C65E57,\n  0x3FF1600000000000, 0, 0xBFB51B073F062000, 0x3D1F025B61C65E57,\n  0x3FF1400000000000, 0, 0xBFB341D7961BE000, 0x3D2C5EDACCF913DF,\n  0x3FF1400000000000, 0, 0xBFB341D7961BE000, 0x3D2C5EDACCF913DF,\n  0x3FF1200000000000, 0, 0xBFB16536EEA38000, 0x3D147C5E768FA309,\n  0x3FF1000000000000, 0, 0xBFAF0A30C0118000, 0x3D2D599E83368E91,\n  0x3FF1000000000000, 0, 0xBFAF0A30C0118000, 0x3D2D599E83368E91,\n  0x3FF0E00000000000, 0, 0xBFAB42DD71198000, 0x3D1C827AE5D6704C,\n  0x3FF0E00000000000, 0, 0xBFAB42DD71198000, 0x3D1C827AE5D6704C,\n  0x3FF0C00000000000, 0, 0xBFA77458F632C000, 0xBD2CFC4634F2A1EE,\n  0x3FF0C00000000000, 0, 0xBFA77458F632C000, 0xBD2CFC4634F2A1EE,\n  0x3FF0A00000000000, 0, 0xBFA39E87B9FEC000, 0x3CF502B7F526FEAA,\n  0x3FF0A00000000000, 0, 0xBFA39E87B9FEC000, 0x3CF502B7F526FEAA,\n  0x3FF0800000000000, 0, 0xBF9F829B0E780000, 0xBD2980267C7E09E4,\n  0x3FF0800000000000, 0, 0xBF9F829B0E780000, 0xBD2980267C7E09E4,\n  0x3FF0600000000000, 0, 0xBF97B91B07D58000, 0xBD288D5493FAA639,\n  0x3FF0400000000000, 0, 0xBF8FC0A8B0FC0000, 0xBCDF1E7CF6D3A69C,\n  0x3FF0400000000000, 0, 0xBF8FC0A8B0FC0000, 0xBCDF1E7CF6D3A69C,\n  0x3FF0200000000000, 0, 0xBF7FE02A6B100000, 0xBD19E23F0DDA40E4,\n  0x3FF0200000000000, 0, 0xBF7FE02A6B100000, 0xBD19E23F0DDA40E4,\n  0x3FF0000000000000, 0, 0, 0,\n  0x3FF0000000000000, 0, 0, 0,\n  0x3FEFC00000000000, 0, 0x3F80101575890000, 0xBD10C76B999D2BE8,\n  0x3FEF800000000000, 0, 0x3F90205658938000, 0xBD23DC5B06E2F7D2,\n  0x3FEF400000000000, 0, 0x3F98492528C90000, 0xBD2AA0BA325A0C34,\n  0x3FEF000000000000, 0, 0x3FA0415D89E74000, 0x3D0111C05CF1D753,\n  0x3FEEC00000000000, 0, 0x3FA466AED42E0000, 0xBD2C167375BDFD28,\n  0x3FEE800000000000, 0, 0x3FA894AA149FC000, 0xBD197995D05A267D,\n  0x3FEE400000000000, 0, 0x3FACCB73CDDDC000, 0xBD1A68F247D82807,\n  0x3FEE200000000000, 0, 0x3FAEEA31C006C000, 0xBD0E113E4FC93B7B,\n  0x3FEDE00000000000, 0, 0x3FB1973BD1466000, 0xBD25325D560D9E9B,\n  0x3FEDA00000000000, 0, 0x3FB3BDF5A7D1E000, 0x3D2CC85EA5DB4ED7,\n  0x3FED600000000000, 0, 0x3FB5E95A4D97A000, 0xBD2C69063C5D1D1E,\n  0x3FED400000000000, 0, 0x3FB700D30AEAC000, 0x3CEC1E8DA99DED32,\n  0x3FED000000000000, 0, 0x3FB9335E5D594000, 0x3D23115C3ABD47DA,\n  0x3FECC00000000000, 0, 0x3FBB6AC88DAD6000, 0xBD1390802BF768E5,\n  0x3FECA00000000000, 0, 0x3FBC885801BC4000, 0x3D2646D1C65AACD3,\n  0x3FEC600000000000, 0, 0x3FBEC739830A2000, 0xBD2DC068AFE645E0,\n  0x3FEC400000000000, 0, 0x3FBFE89139DBE000, 0xBD2534D64FA10AFD,\n  0x3FEC000000000000, 0, 0x3FC1178E8227E000, 0x3D21EF78CE2D07F2,\n  0x3FEBE00000000000, 0, 0x3FC1AA2B7E23F000, 0x3D2CA78E44389934,\n  0x3FEBA00000000000, 0, 0x3FC2D1610C868000, 0x3D039D6CCB81B4A1,\n  0x3FEB800000000000, 0, 0x3FC365FCB0159000, 0x3CC62FA8234B7289,\n  0x3FEB400000000000, 0, 0x3FC4913D8333B000, 0x3D25837954FDB678,\n  0x3FEB200000000000, 0, 0x3FC527E5E4A1B000, 0x3D2633E8E5697DC7,\n  0x3FEAE00000000000, 0, 0x3FC6574EBE8C1000, 0x3D19CF8B2C3C2E78,\n  0x3FEAC00000000000, 0, 0x3FC6F0128B757000, 0xBD25118DE59C21E1,\n  0x3FEAA00000000000, 0, 0x3FC7898D85445000, 0xBD1C661070914305,\n  0x3FEA600000000000, 0, 0x3FC8BEAFEB390000, 0xBD073D54AAE92CD1,\n  0x3FEA400000000000, 0, 0x3FC95A5ADCF70000, 0x3D07F22858A0FF6F,\n  0x3FEA000000000000, 0, 0x3FCA93ED3C8AE000, 0xBD28724350562169,\n  0x3FE9E00000000000, 0, 0x3FCB31D8575BD000, 0xBD0C358D4EACE1AA,\n  0x3FE9C00000000000, 0, 0x3FCBD087383BE000, 0xBD2D4BC4595412B6,\n  0x3FE9A00000000000, 0, 0x3FCC6FFBC6F01000, 0xBCF1EC72C5962BD2,\n  0x3FE9600000000000, 0, 0x3FCDB13DB0D49000, 0xBD2AFF2AF715B035,\n  0x3FE9400000000000, 0, 0x3FCE530EFFE71000, 0x3CC212276041F430,\n  0x3FE9200000000000, 0, 0x3FCEF5ADE4DD0000, 0xBCCA211565BB8E11,\n  0x3FE9000000000000, 0, 0x3FCF991C6CB3B000, 0x3D1BCBECCA0CDF30,\n  0x3FE8C00000000000, 0, 0x3FD07138604D5800, 0x3CF89CDB16ED4E91,\n  0x3FE8A00000000000, 0, 0x3FD0C42D67616000, 0x3D27188B163CEAE9,\n  0x3FE8800000000000, 0, 0x3FD1178E8227E800, 0xBD2C210E63A5F01C,\n  0x3FE8600000000000, 0, 0x3FD16B5CCBACF800, 0x3D2B9ACDF7A51681,\n  0x3FE8400000000000, 0, 0x3FD1BF99635A6800, 0x3D2CA6ED5147BDB7,\n  0x3FE8200000000000, 0, 0x3FD214456D0EB800, 0x3D0A87DEBA46BAEA,\n  0x3FE7E00000000000, 0, 0x3FD2BEF07CDC9000, 0x3D2A9CFA4A5004F4,\n  0x3FE7C00000000000, 0, 0x3FD314F1E1D36000, 0xBD28E27AD3213CB8,\n  0x3FE7A00000000000, 0, 0x3FD36B6776BE1000, 0x3D116ECDB0F177C8,\n  0x3FE7800000000000, 0, 0x3FD3C25277333000, 0x3D183B54B606BD5C,\n  0x3FE7600000000000, 0, 0x3FD419B423D5E800, 0x3D08E436EC90E09D,\n  0x3FE7400000000000, 0, 0x3FD4718DC271C800, 0xBD2F27CE0967D675,\n  0x3FE7200000000000, 0, 0x3FD4C9E09E173000, 0xBD2E20891B0AD8A4,\n  0x3FE7000000000000, 0, 0x3FD522AE0738A000, 0x3D2EBE708164C759,\n  0x3FE6E00000000000, 0, 0x3FD57BF753C8D000, 0x3D1FADEDEE5D40EF,\n  0x3FE6C00000000000, 0, 0x3FD5D5BDDF596000, 0xBD0A0B2A08A465DC\n]);\n\n// Returns 0 if not int, 1 if odd int, 2 if even int. The argument is\n// the bit representation of a non-zero finite floating-point value.\n// @ts-ignore: decorator\n@inline\nfunction checkint(iy: u64): i32 {\n  let e = iy >> 52 & 0x7FF;\n  if (e < 0x3FF     ) return 0;\n  if (e > 0x3FF + 52) return 2;\n  e = u64(1) << (0x3FF + 52 - e);\n  if (iy & (e - 1)) return 0;\n  if (iy &  e     ) return 1;\n  return 2;\n}\n\n// @ts-ignore: decorator\n@inline\nfunction xflow(sign: u32, y: f64): f64 {\n  return select(-y, y, sign) * y;\n}\n\n// @ts-ignore: decorator\n@inline\nfunction uflow(sign: u32): f64 {\n  return xflow(sign, reinterpret<f64>(0x1000000000000000)); // 0x1p-767\n}\n\n// @ts-ignore: decorator\n@inline\nfunction oflow(sign: u32): f64 {\n  return xflow(sign, reinterpret<f64>(0x7000000000000000)); // 0x1p769\n}\n\n// Returns 1 if input is the bit representation of 0, infinity or nan.\n// @ts-ignore: decorator\n@inline\nfunction zeroinfnan(u: u64): bool {\n  return (u << 1) - 1 >= 0xFFE0000000000000 - 1;\n}\n\n// @ts-ignore: decorator\n@lazy let log_tail: f64 = 0;\n\n// Compute y+TAIL = log(x) where the rounded result is y and TAIL has about\n// additional 15 bits precision. IX is the bit representation of x, but\n// normalized in the subnormal range using the sign bit for the exponent.\n// @ts-ignore: decorator\n@inline\nfunction log_inline(ix: u64): f64 {\n  const N = 1 << POW_LOG_TABLE_BITS;\n  const N_MASK = N - 1;\n\n  const\n    Ln2hi = reinterpret<f64>(0x3FE62E42FEFA3800),\n    Ln2lo = reinterpret<f64>(0x3D2EF35793C76730);\n\n  const\n    A0 = reinterpret<f64>(0xBFE0000000000000),\n    A1 = reinterpret<f64>(0xBFE5555555555560),\n    A2 = reinterpret<f64>(0x3FE0000000000006),\n    A3 = reinterpret<f64>(0x3FE999999959554E),\n    A4 = reinterpret<f64>(0xBFE555555529A47A),\n    A5 = reinterpret<f64>(0xBFF2495B9B4845E9),\n    A6 = reinterpret<f64>(0x3FF0002B8B263FC3);\n\n  // x = 2^k z; where z is in range [OFF,2*OFF) and exact.\n  // The range is split into N subintervals.\n  // The ith subinterval contains z and c is near its center.\n  let tmp = ix - 0x3fE6955500000000;\n  let i   = usize((tmp >> (52 - POW_LOG_TABLE_BITS)) & N_MASK);\n  let k   = <i64>tmp >> 52;\n  let iz  = ix - (tmp & u64(0xFFF) << 52);\n  let z   = reinterpret<f64>(iz);\n  let kd  = <f64>k;\n\n  // log(x) = k*Ln2 + log(c) + log1p(z/c-1).\n  let invc     = load<f64>(POW_LOG_DATA_TAB + (i << (2 + alignof<f64>())), 0 << alignof<f64>()); // tab[i].invc\n  let logc     = load<f64>(POW_LOG_DATA_TAB + (i << (2 + alignof<f64>())), 2 << alignof<f64>()); // tab[i].logc\n  let logctail = load<f64>(POW_LOG_DATA_TAB + (i << (2 + alignof<f64>())), 3 << alignof<f64>()); // tab[i].logctail\n\n  // Note: 1/c is j/N or j/N/2 where j is an integer in [N,2N) and\n  // |z/c - 1| < 1/N, so r = z/c - 1 is exactly representible.\n  // Split z such that rhi, rlo and rhi*rhi are exact and |rlo| <= |r|.\n  let zhi = reinterpret<f64>((iz + u64(0x80000000)) & 0xFFFFFFFF00000000);\n  let zlo = z - zhi;\n  let rhi = zhi * invc - 1.0;\n  let rlo = zlo * invc;\n  let r   = rhi + rlo;\n\n  // k * Ln2 + log(c) + r.\n  let t1  = kd * Ln2hi + logc;\n  let t2  = t1 + r;\n  let lo1 = kd * Ln2lo + logctail;\n  let lo2 = t1 - t2 + r;\n\n  // Evaluation is optimized assuming superscalar pipelined execution.\n  let ar  = A0 * r; // A[0] = -0.5\n  let ar2 = r * ar;\n  let ar3 = r * ar2;\n  // k * Ln2 + log(c) + r + A[0] * r * r.\n  let arhi  = A0  * rhi;\n  let arhi2 = rhi * arhi;\n  let hi    = t2  + arhi2;\n  let lo3   = rlo * (ar + arhi);\n  let lo4   = t2 - hi + arhi2;\n\n  // p = log1p(r) - r - A[0] * r * r.\n  let p  = ar3 * (A1 + r * A2 + ar2 * (A3 + r * A4 + ar2 * (A5 + r * A6)));\n  let lo = lo1 + lo2 + lo3 + lo4 + p;\n  let y  = hi + lo;\n  log_tail = hi - y + lo;\n\n  return y;\n}\n\n// @ts-ignore: decorator\n@inline const SIGN_BIAS = 0x800 << EXP_TABLE_BITS;\n\n// Computes sign*exp(x+xtail) where |xtail| < 2^-8/N and |xtail| <= |x|.\n// The sign_bias argument is SIGN_BIAS or 0 and sets the sign to -1 or 1.\n// @ts-ignore: decorator\n@inline\nfunction exp_inline(x: f64, xtail: f64, sign_bias: u32): f64 {\n  const N      = 1 << EXP_TABLE_BITS;\n  const N_MASK = N - 1;\n\n  const\n    InvLn2N   = reinterpret<f64>(0x3FF71547652B82FE) * N, // 0x1.71547652b82fep0\n    NegLn2hiN = reinterpret<f64>(0xBF762E42FEFA0000),     // -0x1.62e42fefa0000p-8\n    NegLn2loN = reinterpret<f64>(0xBD0CF79ABC9E3B3A),     // -0x1.cf79abc9e3b3ap-47\n    shift     = reinterpret<f64>(0x4338000000000000);     // 0x1.8p52\n\n  const\n    C2 = reinterpret<f64>(0x3FDFFFFFFFFFFDBD), // __exp_data.poly[0] (0x1.ffffffffffdbdp-2)\n    C3 = reinterpret<f64>(0x3FC555555555543C), // __exp_data.poly[1] (0x1.555555555543cp-3)\n    C4 = reinterpret<f64>(0x3FA55555CF172B91), // __exp_data.poly[2] (0x1.55555cf172b91p-5)\n    C5 = reinterpret<f64>(0x3F81111167A4D017); // __exp_data.poly[3] (0x1.1111167a4d017p-7)\n\n  let abstop: u32;\n  let ki: u64, top: u64, sbits: u64;\n  let idx: usize;\n  // double_t for better performance on targets with FLT_EVAL_METHOD==2.\n  let kd: f64, z: f64, r: f64, r2: f64, scale: f64, tail: f64, tmp: f64;\n\n  let ux = reinterpret<u64>(x);\n  abstop = u32(ux >> 52) & 0x7FF;\n  if (abstop - 0x3C9 >= 0x03F) {\n    if (abstop - 0x3C9 >= 0x80000000) {\n      // Avoid spurious underflow for tiny x.\n      // Note: 0 is common input.\n      return select(-1.0, 1.0, sign_bias);\n    }\n    if (abstop >= 0x409) { // top12(1024.0)\n      // Note: inf and nan are already handled.\n      return <i64>ux < 0\n        ? uflow(sign_bias)\n        : oflow(sign_bias);\n    }\n    // Large x is special cased below.\n    abstop = 0;\n  }\n\n  // exp(x) = 2^(k/N) * exp(r), with exp(r) in [2^(-1/2N),2^(1/2N)].\n  // x = ln2/N*k + r, with int k and r in [-ln2/2N, ln2/2N].\n  z = InvLn2N * x;\n\n  // #if TOINT_INTRINSICS\n  //   kd = roundtoint(z);\n  //   ki = converttoint(z);\n  // #elif EXP_USE_TOINT_NARROW\n  //   // z - kd is in [-0.5-2^-16, 0.5] in all rounding modes.\n  //   kd = eval_as_double(z + shift);\n  //   ki = asuint64(kd) >> 16;\n  //   kd = (double_t)(int32_t)ki;\n  // #else\n  // z - kd is in [-1, 1] in non-nearest rounding modes\n  kd  = z + shift;\n  ki  = reinterpret<u64>(kd);\n  kd -= shift;\n  // #endif\n  r = x + kd * NegLn2hiN + kd * NegLn2loN;\n  // The code assumes 2^-200 < |xtail| < 2^-8/N\n  r += xtail;\n  // 2^(k/N) ~= scale * (1 + tail)\n  idx = usize((ki & N_MASK) << 1);\n  top = (ki + sign_bias) << (52 - EXP_TABLE_BITS);\n\n  tail = reinterpret<f64>(load<u64>(EXP_DATA_TAB + (idx << alignof<u64>())));\n  // This is only a valid scale when -1023*N < k < 1024*N\n  sbits = load<u64>(EXP_DATA_TAB + (idx << alignof<u64>()), 1 << alignof<u64>()) + top;\n  // exp(x) = 2^(k/N) * exp(r) ~= scale + scale * (tail + exp(r) - 1).\n  // Evaluation is optimized assuming superscalar pipelined execution.\n  r2 = r * r;\n  // Without fma the worst case error is 0.25/N ulp larger.\n  // Worst case error is less than 0.5+1.11/N+(abs poly error * 2^53) ulp\n  tmp = tail + r + r2 * (C2 + r * C3) + r2 * r2 * (C4 + r * C5);\n  if (abstop == 0) return specialcase(tmp, sbits, ki);\n  scale = reinterpret<f64>(sbits);\n  // Note: tmp == 0 or |tmp| > 2^-200 and scale > 2^-739, so there\n  // is no spurious underflow here even without fma.\n  return scale + scale * tmp;\n}\n\n// @ts-ignore: decorator\n@inline\nexport function pow_lut(x: f64, y: f64): f64 {\n  const Ox1p52 = reinterpret<f64>(0x4330000000000000); // 0x1p52\n\n  let sign_bias: u32 = 0;\n  let ix = reinterpret<u64>(x);\n  let iy = reinterpret<u64>(y);\n  let topx = ix >> 52;\n  let topy = iy >> 52;\n\n  if (topx - 0x001 >= 0x7FF - 0x001 || (topy & 0x7FF) - 0x3BE >= 0x43e - 0x3BE) {\n    // Note: if |y| > 1075 * ln2 * 2^53 ~= 0x1.749p62 then pow(x,y) = inf/0\n    // and if |y| < 2^-54 / 1075 ~= 0x1.e7b6p-65 then pow(x,y) = +-1.\n    // Special cases: (x < 0x1p-126 or inf or nan) or\n    // (|y| < 0x1p-65 or |y| >= 0x1p63 or nan).\n    if (zeroinfnan(iy)) {\n      if ((iy << 1) == 0) return 1.0;\n      if (ix == 0x3FF0000000000000) return NaN; // original: 1.0\n      if ((ix << 1) > 0xFFE0000000000000 || (iy << 1) > 0xFFE0000000000000) return x + y;\n      if ((ix << 1) == 0x7FE0000000000000) return NaN; // original: 1.0\n      if (((ix << 1) < 0x7FE0000000000000) == !(iy >> 63)) return 0; // |x|<1 && y==inf or |x|>1 && y==-inf.\n      return y * y;\n    }\n    if (zeroinfnan(ix)) {\n      let x2 = x * x;\n      if (i32(ix >> 63) && checkint(iy) == 1) x2 = -x2;\n      return <i64>iy < 0 ? 1 / x2 : x2;\n    }\n    // Here x and y are non-zero finite\n    if (<i64>ix < 0) {\n      // Finite x < 0\n      let yint = checkint(iy);\n      if (yint == 0) return (x - x) / (x - x);\n      if (yint == 1) sign_bias = SIGN_BIAS;\n      ix   &= 0x7FFFFFFFFFFFFFFF;\n      topx &= 0x7FF;\n    }\n    if ((topy & 0x7FF) - 0x3BE >= 0x43E - 0x3BE) {\n      // Note: sign_bias == 0 here because y is not odd.\n      if (ix == 0x3FF0000000000000) return 1;\n      if ((topy & 0x7FF) < 0x3BE)   return 1; // |y| < 2^-65, x^y ~= 1 + y*log(x).\n      return (ix > 0x3FF0000000000000) == (topy < 0x800) ? Infinity : 0;\n    }\n    if (topx == 0) {\n      // Normalize subnormal x so exponent becomes negative.\n      ix = reinterpret<u64>(x * Ox1p52);\n      ix &= 0x7FFFFFFFFFFFFFFF;\n      ix -= u64(52) << 52;\n    }\n  }\n\n  let hi = log_inline(ix);\n  let lo = log_tail;\n  let ehi: f64, elo: f64;\n  // #if __FP_FAST_FMA\n  //   ehi = y * hi;\n  //   elo = y * lo + __builtin_fma(y, hi, -ehi);\n  // #else\n  let yhi = reinterpret<f64>(iy & 0xFFFFFFFFF8000000);\n  let ylo = y - yhi;\n  let lhi = reinterpret<f64>(reinterpret<u64>(hi) & 0xFFFFFFFFF8000000);\n  let llo = hi - lhi + lo;\n  ehi = yhi * lhi;\n  elo = ylo * lhi + y * llo; // |elo| < |ehi| * 2^-25.\n  // #endif\n  return exp_inline(ehi, elo, sign_bias);\n}\n","/// <reference path=\"../rt/index.d.ts\" />\n\nimport { idof } from \"../builtins\";\nimport { CharCode } from \"./string\";\n\n// @ts-ignore: decorator\n@inline\nexport const MAX_DOUBLE_LENGTH = 28;\n\n// @ts-ignore: decorator\n@lazy @inline const POWERS10 = memory.data<u32>([\n  1,\n  10,\n  100,\n  1000,\n  10000,\n  100000,\n  1000000,\n  10000000,\n  100000000,\n  1000000000\n]);\n\n/*\n  Lookup table for pairwise char codes in range [0-99]\n\n  \"00\", \"01\", \"02\", \"03\", \"04\", \"05\", \"06\", \"07\", \"08\", \"09\",\n  \"10\", \"11\", \"12\", \"13\", \"14\", \"15\", \"16\", \"17\", \"18\", \"19\",\n  \"20\", \"21\", \"22\", \"23\", \"24\", \"25\", \"26\", \"27\", \"28\", \"29\",\n  \"30\", \"31\", \"32\", \"33\", \"34\", \"35\", \"36\", \"37\", \"38\", \"39\",\n  \"40\", \"41\", \"42\", \"43\", \"44\", \"45\", \"46\", \"47\", \"48\", \"49\",\n  \"50\", \"51\", \"52\", \"53\", \"54\", \"55\", \"56\", \"57\", \"58\", \"59\",\n  \"60\", \"61\", \"62\", \"63\", \"64\", \"65\", \"66\", \"67\", \"68\", \"69\",\n  \"70\", \"71\", \"72\", \"73\", \"74\", \"75\", \"76\", \"77\", \"78\", \"79\",\n  \"80\", \"81\", \"82\", \"83\", \"84\", \"85\", \"86\", \"87\", \"88\", \"89\",\n  \"90\", \"91\", \"92\", \"93\", \"94\", \"95\", \"96\", \"97\", \"98\", \"99\"\n*/\n// @ts-ignore: decorator\n@lazy @inline const DIGITS = memory.data<u32>([\n  0x00300030, 0x00310030, 0x00320030, 0x00330030, 0x00340030,\n  0x00350030, 0x00360030, 0x00370030, 0x00380030, 0x00390030,\n  0x00300031, 0x00310031, 0x00320031, 0x00330031, 0x00340031,\n  0x00350031, 0x00360031, 0x00370031, 0x00380031, 0x00390031,\n  0x00300032, 0x00310032, 0x00320032, 0x00330032, 0x00340032,\n  0x00350032, 0x00360032, 0x00370032, 0x00380032, 0x00390032,\n  0x00300033, 0x00310033, 0x00320033, 0x00330033, 0x00340033,\n  0x00350033, 0x00360033, 0x00370033, 0x00380033, 0x00390033,\n  0x00300034, 0x00310034, 0x00320034, 0x00330034, 0x00340034,\n  0x00350034, 0x00360034, 0x00370034, 0x00380034, 0x00390034,\n  0x00300035, 0x00310035, 0x00320035, 0x00330035, 0x00340035,\n  0x00350035, 0x00360035, 0x00370035, 0x00380035, 0x00390035,\n  0x00300036, 0x00310036, 0x00320036, 0x00330036, 0x00340036,\n  0x00350036, 0x00360036, 0x00370036, 0x00380036, 0x00390036,\n  0x00300037, 0x00310037, 0x00320037, 0x00330037, 0x00340037,\n  0x00350037, 0x00360037, 0x00370037, 0x00380037, 0x00390037,\n  0x00300038, 0x00310038, 0x00320038, 0x00330038, 0x00340038,\n  0x00350038, 0x00360038, 0x00370038, 0x00380038, 0x00390038,\n  0x00300039, 0x00310039, 0x00320039, 0x00330039, 0x00340039,\n  0x00350039, 0x00360039, 0x00370039, 0x00380039, 0x00390039\n]);\n\n// Lookup table for pairwise char codes in range [0x00-0xFF]\n// @ts-ignore: decorator\n@lazy @inline const HEX_DIGITS =\n\"000102030405060708090a0b0c0d0e0f\\\n101112131415161718191a1b1c1d1e1f\\\n202122232425262728292a2b2c2d2e2f\\\n303132333435363738393a3b3c3d3e3f\\\n404142434445464748494a4b4c4d4e4f\\\n505152535455565758595a5b5c5d5e5f\\\n606162636465666768696a6b6c6d6e6f\\\n707172737475767778797a7b7c7d7e7f\\\n808182838485868788898a8b8c8d8e8f\\\n909192939495969798999a9b9c9d9e9f\\\na0a1a2a3a4a5a6a7a8a9aaabacadaeaf\\\nb0b1b2b3b4b5b6b7b8b9babbbcbdbebf\\\nc0c1c2c3c4c5c6c7c8c9cacbcccdcecf\\\nd0d1d2d3d4d5d6d7d8d9dadbdcdddedf\\\ne0e1e2e3e4e5e6e7e8e9eaebecedeeef\\\nf0f1f2f3f4f5f6f7f8f9fafbfcfdfeff\";\n\n// @ts-ignore: decorator\n@lazy @inline const ANY_DIGITS = \"0123456789abcdefghijklmnopqrstuvwxyz\";\n\n// @ts-ignore: decorator\n@lazy @inline const EXP_POWERS = memory.data<i16>([/* eslint-disable indent */\n  -1220, -1193, -1166, -1140, -1113, -1087, -1060, -1034, -1007,  -980,\n   -954,  -927,  -901,  -874,  -847,  -821,  -794,  -768,  -741,  -715,\n   -688,  -661,  -635,  -608,  -582,  -555,  -529,  -502,  -475,  -449,\n   -422,  -396,  -369,  -343,  -316,  -289,  -263,  -236,  -210,  -183,\n   -157,  -130,  -103,   -77,   -50,   -24,     3,    30,    56,    83,\n    109,   136,   162,   189,   216,   242,   269,   295,   322,   348,\n    375,   402,   428,   455,   481,   508,   534,   561,   588,   614,\n    641,   667,   694,   720,   747,   774,   800,   827,   853,   880,\n    907,   933,   960,   986,  1013,  1039,  1066\n/* eslint-enable indent */]);\n\n// 1e-348, 1e-340, ..., 1e340\n// @ts-ignore: decorator\n@lazy @inline const FRC_POWERS = memory.data<u64>([\n  0xFA8FD5A0081C0288, 0xBAAEE17FA23EBF76, 0x8B16FB203055AC76, 0xCF42894A5DCE35EA,\n  0x9A6BB0AA55653B2D, 0xE61ACF033D1A45DF, 0xAB70FE17C79AC6CA, 0xFF77B1FCBEBCDC4F,\n  0xBE5691EF416BD60C, 0x8DD01FAD907FFC3C, 0xD3515C2831559A83, 0x9D71AC8FADA6C9B5,\n  0xEA9C227723EE8BCB, 0xAECC49914078536D, 0x823C12795DB6CE57, 0xC21094364DFB5637,\n  0x9096EA6F3848984F, 0xD77485CB25823AC7, 0xA086CFCD97BF97F4, 0xEF340A98172AACE5,\n  0xB23867FB2A35B28E, 0x84C8D4DFD2C63F3B, 0xC5DD44271AD3CDBA, 0x936B9FCEBB25C996,\n  0xDBAC6C247D62A584, 0xA3AB66580D5FDAF6, 0xF3E2F893DEC3F126, 0xB5B5ADA8AAFF80B8,\n  0x87625F056C7C4A8B, 0xC9BCFF6034C13053, 0x964E858C91BA2655, 0xDFF9772470297EBD,\n  0xA6DFBD9FB8E5B88F, 0xF8A95FCF88747D94, 0xB94470938FA89BCF, 0x8A08F0F8BF0F156B,\n  0xCDB02555653131B6, 0x993FE2C6D07B7FAC, 0xE45C10C42A2B3B06, 0xAA242499697392D3,\n  0xFD87B5F28300CA0E, 0xBCE5086492111AEB, 0x8CBCCC096F5088CC, 0xD1B71758E219652C,\n  0x9C40000000000000, 0xE8D4A51000000000, 0xAD78EBC5AC620000, 0x813F3978F8940984,\n  0xC097CE7BC90715B3, 0x8F7E32CE7BEA5C70, 0xD5D238A4ABE98068, 0x9F4F2726179A2245,\n  0xED63A231D4C4FB27, 0xB0DE65388CC8ADA8, 0x83C7088E1AAB65DB, 0xC45D1DF942711D9A,\n  0x924D692CA61BE758, 0xDA01EE641A708DEA, 0xA26DA3999AEF774A, 0xF209787BB47D6B85,\n  0xB454E4A179DD1877, 0x865B86925B9BC5C2, 0xC83553C5C8965D3D, 0x952AB45CFA97A0B3,\n  0xDE469FBD99A05FE3, 0xA59BC234DB398C25, 0xF6C69A72A3989F5C, 0xB7DCBF5354E9BECE,\n  0x88FCF317F22241E2, 0xCC20CE9BD35C78A5, 0x98165AF37B2153DF, 0xE2A0B5DC971F303A,\n  0xA8D9D1535CE3B396, 0xFB9B7CD9A4A7443C, 0xBB764C4CA7A44410, 0x8BAB8EEFB6409C1A,\n  0xD01FEF10A657842C, 0x9B10A4E5E9913129, 0xE7109BFBA19C0C9D, 0xAC2820D9623BF429,\n  0x80444B5E7AA7CF85, 0xBF21E44003ACDD2D, 0x8E679C2F5E44FF8F, 0xD433179D9C8CB841,\n  0x9E19DB92B4E31BA9, 0xEB96BF6EBADF77D9, 0xAF87023B9BF0EE6B\n]);\n\n// @ts-ignore: decorator\n@inline\nexport function isPowerOf2<T extends number>(value: T): bool {\n  return popcnt<T>(value) == 1;\n}\n\n// Count number of decimals for u32 values\n// In our case input value always non-zero so we can simplify some parts\nexport function decimalCount32(value: u32): u32 {\n  if (value < 100000) {\n    if (value < 100) {\n      return 1 + u32(value >= 10);\n    } else {\n      return 3 + u32(value >= 10000) + u32(value >= 1000);\n    }\n  } else {\n    if (value < 10000000) {\n      return 6 + u32(value >= 1000000);\n    } else {\n      return 8 + u32(value >= 1000000000) + u32(value >= 100000000);\n    }\n  }\n}\n\n// Count number of decimals for u64 values\n// In our case input value always greater than 2^32-1 so we can skip some parts\nexport function decimalCount64High(value: u64): u32 {\n  if (value < 1000000000000000) {\n    if (value < 1000000000000) {\n      return 10 + u32(value >= 100000000000) + u32(value >= 10000000000);\n    } else {\n      return 13 + u32(value >= 100000000000000) + u32(value >= 10000000000000);\n    }\n  } else {\n    if (value < 100000000000000000) {\n      return 16 + u32(value >= 10000000000000000);\n    } else {\n      return 18 + u32(value >= 10000000000000000000) + u32(value >= 1000000000000000000);\n    }\n  }\n}\n\nfunction ulog_base(num: u64, base: i32): u32 {\n  if (isPowerOf2(base)) {\n    return (63 - <u32>clz(num)) / (31 - <u32>clz(base)) + 1;\n  }\n  let b64 = u64(base), b = b64, e: u32 = 1;\n  while (num >= b) {\n    num /= b;\n    b *= b;\n    e <<= 1;\n  }\n  while (num >= 1) {\n    num /= b64;\n    e++;\n  }\n  return e - 1;\n}\n\nfunction utoa32_dec_lut(buffer: usize, num: u32, offset: usize): void {\n  while (num >= 10000) {\n    // in most VMs i32/u32 div and modulo by constant can be shared and simplificate\n    let t = num / 10000;\n    let r = num % 10000;\n    num = t;\n\n    let d1 = r / 100;\n    let d2 = r % 100;\n\n    let digits1 = <u64>load<u32>(DIGITS + (<usize>d1 << alignof<u32>()));\n    let digits2 = <u64>load<u32>(DIGITS + (<usize>d2 << alignof<u32>()));\n\n    offset -= 4;\n    store<u64>(buffer + (offset << 1), digits1 | (digits2 << 32));\n  }\n\n  if (num >= 100) {\n    let t  = num / 100;\n    let d1 = num % 100;\n    num = t;\n    offset -= 2;\n    let digits = load<u32>(DIGITS + (<usize>d1 << alignof<u32>()));\n    store<u32>(buffer + (offset << 1), digits);\n  }\n\n  if (num >= 10) {\n    offset -= 2;\n    let digits = load<u32>(DIGITS + (<usize>num << alignof<u32>()));\n    store<u32>(buffer + (offset << 1), digits);\n  } else {\n    offset -= 1;\n    let digit = CharCode._0 + num;\n    store<u16>(buffer + (offset << 1), digit);\n  }\n}\n\nfunction utoa64_dec_lut(buffer: usize, num: u64, offset: usize): void {\n  while (num >= 100000000) {\n    let t = num / 100000000;\n    let r = <usize>(num - t * 100000000);\n    num = t;\n\n    let b = r / 10000;\n    let c = r % 10000;\n\n    let b1 = b / 100;\n    let b2 = b % 100;\n    let c1 = c / 100;\n    let c2 = c % 100;\n\n    let digits1 = <u64>load<u32>(DIGITS + (<usize>c1 << alignof<u32>()));\n    let digits2 = <u64>load<u32>(DIGITS + (<usize>c2 << alignof<u32>()));\n\n    offset -= 4;\n    store<u64>(buffer + (offset << 1), digits1 | (digits2 << 32));\n\n    digits1 = <u64>load<u32>(DIGITS + (<usize>b1 << alignof<u32>()));\n    digits2 = <u64>load<u32>(DIGITS + (<usize>b2 << alignof<u32>()));\n\n    offset -= 4;\n    store<u64>(buffer + (offset << 1), digits1 | (digits2 << 32));\n  }\n\n  utoa32_dec_lut(buffer, <u32>num, offset);\n}\n\nfunction utoa_hex_lut(buffer: usize, num: u64, offset: usize): void {\n  const lut = changetype<usize>(HEX_DIGITS);\n  while (offset >= 2) {\n    offset -= 2;\n    store<u32>(\n      buffer + (offset << 1),\n      load<u32>(lut + ((<usize>num & 0xFF) << alignof<u32>()))\n    );\n    num >>= 8;\n  }\n  if (offset & 1) {\n    store<u16>(buffer, load<u16>(lut + (<usize>num << 6)));\n  }\n}\n\nfunction utoa_dec_simple<T extends number>(buffer: usize, num: T, offset: usize): void {\n  do {\n    let t = num / 10;\n    let r = <u32>(num % 10);\n    num = changetype<T>(t);\n    offset--;\n    store<u16>(buffer + (offset << 1), CharCode._0 + r);\n  } while (num);\n}\n\nfunction utoa_hex_simple<T extends number>(buffer: usize, num: T, offset: usize): void {\n  do {\n    let d = num & 0x0F | CharCode._0;\n    d += select<T>(<T>0x27, <T>0, d > <T>CharCode._9);\n    offset--;\n    store<u16>(buffer + (offset << 1), d);\n    // @ts-ignore: type\n    num >>= 4;\n  } while (num);\n}\n\n// @ts-ignore: decorator\n@inline\nexport function utoa32_dec_core(buffer: usize, num: u32, offset: usize): void {\n  if (ASC_SHRINK_LEVEL >= 1) {\n    utoa_dec_simple<u32>(buffer, num, offset);\n  } else {\n    utoa32_dec_lut(buffer, num, offset);\n  }\n}\n\n// @ts-ignore: decorator\n@inline\nfunction utoa32_hex_core(buffer: usize, num: u32, offset: usize): void {\n  if (ASC_SHRINK_LEVEL >= 1) {\n    utoa_hex_simple<u32>(buffer, num, offset);\n  } else {\n    utoa_hex_lut(buffer, num, offset);\n  }\n}\n\n// @ts-ignore: decorator\n@inline\nfunction utoa64_dec_core(buffer: usize, num: u64, offset: usize): void {\n  if (ASC_SHRINK_LEVEL >= 1) {\n    utoa_dec_simple<u64>(buffer, num, offset);\n  } else {\n    utoa64_dec_lut(buffer, num, offset);\n  }\n}\n\n// @ts-ignore: decorator\n@inline\nfunction utoa64_hex_core(buffer: usize, num: u64, offset: usize): void {\n  if (ASC_SHRINK_LEVEL >= 1) {\n    utoa_hex_simple<u64>(buffer, num, offset);\n  } else {\n    utoa_hex_lut(buffer, num, offset);\n  }\n}\n\nfunction utoa64_any_core(buffer: usize, num: u64, offset: usize, radix: i32): void {\n  const lut = changetype<usize>(ANY_DIGITS);\n  let base = u64(radix);\n  if ((radix & (radix - 1)) == 0) { // for radix which pow of two\n    let shift = u64(ctz(radix) & 7);\n    let mask = base - 1;\n    do {\n      offset--;\n      store<u16>(buffer + (offset << 1), load<u16>(lut + (usize(num & mask) << 1)));\n      num >>= shift;\n    } while (num);\n  } else {\n    do {\n      offset--;\n      let q = num / base;\n      store<u16>(buffer + (offset << 1), load<u16>(lut + (usize(num - q * base) << 1)));\n      num = q;\n    } while (num);\n  }\n}\n\nexport function utoa32(value: u32, radix: i32): String {\n  if (radix < 2 || radix > 36) {\n    throw new RangeError(\"toString() radix argument must be between 2 and 36\");\n  }\n  if (!value) return \"0\";\n  let out: String;\n\n  if (radix == 10) {\n    let decimals = decimalCount32(value);\n    out = changetype<String>(__new(decimals << 1, idof<String>()));\n    utoa32_dec_core(changetype<usize>(out), value, decimals);\n  } else if (radix == 16) {\n    let decimals = (31 - clz(value) >> 2) + 1;\n    out = changetype<String>(__new(decimals << 1, idof<String>()));\n    utoa32_hex_core(changetype<usize>(out), value, decimals);\n  } else {\n    let decimals = ulog_base(value, radix);\n    out = changetype<String>(__new(decimals << 1, idof<String>()));\n    utoa64_any_core(changetype<usize>(out), value, decimals, radix);\n  }\n  return out;\n}\n\nexport function itoa32(value: i32, radix: i32): String {\n  if (radix < 2 || radix > 36) {\n    throw new RangeError(\"toString() radix argument must be between 2 and 36\");\n  }\n  if (!value) return \"0\";\n\n  let sign = (value >>> 31) << 1;\n  if (sign) value = -value;\n  let out: String;\n\n  if (radix == 10) {\n    let decimals = decimalCount32(value);\n    out = changetype<String>(__new((decimals << 1) + sign, idof<String>()));\n    utoa32_dec_core(changetype<usize>(out) + sign, value, decimals);\n  } else if (radix == 16) {\n    let decimals = (31 - clz(value) >> 2) + 1;\n    out = changetype<String>(__new((decimals << 1) + sign, idof<String>()));\n    utoa32_hex_core(changetype<usize>(out) + sign, value, decimals);\n  } else {\n    let val32 = u32(value);\n    let decimals = ulog_base(val32, radix);\n    out = changetype<String>(__new((decimals << 1) + sign, idof<String>()));\n    utoa64_any_core(changetype<usize>(out) + sign, val32, decimals, radix);\n  }\n  if (sign) store<u16>(changetype<usize>(out), CharCode.MINUS);\n  return out;\n}\n\nexport function utoa64(value: u64, radix: i32): String {\n  if (radix < 2 || radix > 36) {\n    throw new RangeError(\"toString() radix argument must be between 2 and 36\");\n  }\n  if (!value) return \"0\";\n  let out: String;\n\n  if (radix == 10) {\n    if (value <= u32.MAX_VALUE) {\n      let val32    = <u32>value;\n      let decimals = decimalCount32(val32);\n      out = changetype<String>(__new(decimals << 1, idof<String>()));\n      utoa32_dec_core(changetype<usize>(out), val32, decimals);\n    } else {\n      let decimals = decimalCount64High(value);\n      out = changetype<String>(__new(decimals << 1, idof<String>()));\n      utoa64_dec_core(changetype<usize>(out), value, decimals);\n    }\n  } else if (radix == 16) {\n    let decimals = (63 - u32(clz(value)) >> 2) + 1;\n    out = changetype<String>(__new(decimals << 1, idof<String>()));\n    utoa64_hex_core(changetype<usize>(out), value, decimals);\n  } else {\n    let decimals = ulog_base(value, radix);\n    out = changetype<String>(__new(decimals << 1, idof<String>()));\n    utoa64_any_core(changetype<usize>(out), value, decimals, radix);\n  }\n  return out;\n}\n\nexport function itoa64(value: i64, radix: i32): String {\n  if (radix < 2 || radix > 36) {\n    throw new RangeError(\"toString() radix argument must be between 2 and 36\");\n  }\n  if (!value) return \"0\";\n\n  let sign = u32(value >>> 63) << 1;\n  if (sign) value = -value;\n  let out: String;\n\n  if (radix == 10) {\n    if (<u64>value <= <u64>u32.MAX_VALUE) {\n      let val32    = <u32>value;\n      let decimals = decimalCount32(val32);\n      out = changetype<String>(__new((decimals << 1) + sign, idof<String>()));\n      utoa32_dec_core(changetype<usize>(out) + sign, val32, decimals);\n    } else {\n      let decimals = decimalCount64High(value);\n      out = changetype<String>(__new((decimals << 1) + sign, idof<String>()));\n      utoa64_dec_core(changetype<usize>(out) + sign, value, decimals);\n    }\n  } else if (radix == 16) {\n    let decimals = (63 - u32(clz(value)) >> 2) + 1;\n    out = changetype<String>(__new((decimals << 1) + sign, idof<String>()));\n    utoa64_hex_core(changetype<usize>(out) + sign, value, decimals);\n  } else {\n    let decimals = ulog_base(value, radix);\n    out = changetype<String>(__new((decimals << 1) + sign, idof<String>()));\n    utoa64_any_core(changetype<usize>(out) + sign, value, decimals, radix);\n  }\n  if (sign) store<u16>(changetype<usize>(out), CharCode.MINUS);\n  return out;\n}\n\n// @ts-ignore: decorator\n@lazy let _K: i32 = 0;\n\n// // @ts-ignore: decorator\n// @lazy\n// let _frc: u64 = 0;\n\n// @ts-ignore: decorator\n@lazy let _exp: i32 = 0;\n\n// @ts-ignore: decorator\n@lazy let _frc_minus: u64 = 0;\n\n// @ts-ignore: decorator\n@lazy let _frc_plus: u64 = 0;\n\n// @ts-ignore: decorator\n@lazy let _frc_pow: u64 = 0;\n\n// @ts-ignore: decorator\n@lazy let _exp_pow: i32 = 0;\n\n// @ts-ignore: decorator\n@inline\nfunction umul64f(u: u64, v: u64): u64 {\n  let u0 = u & 0xFFFFFFFF;\n  let v0 = v & 0xFFFFFFFF;\n\n  let u1 = u >> 32;\n  let v1 = v >> 32;\n\n  let l = u0 * v0;\n  let t = u1 * v0 + (l >> 32);\n  let w = u0 * v1 + (t & 0xFFFFFFFF);\n\n  w += 0x7FFFFFFF; // rounding\n\n  t >>= 32;\n  w >>= 32;\n\n  return u1 * v1 + t + w;\n}\n\n// @ts-ignore: decorator\n@inline\nfunction umul64e(e1: i32, e2: i32): i32 {\n  return e1 + e2 + 64; // where 64 is significand size\n}\n\n// @ts-ignore: decorator\n@inline\nfunction normalizedBoundaries(f: u64, e: i32, isSingle: bool): void {\n  let frc = (f << 1) + 1;\n  let exp = e - 1;\n  let off = <i32>clz<u64>(frc);\n  frc <<= off;\n  exp  -= off;\n\n  let m = 1 + i32(f == (isSingle ? 0x00800000 : 0x0010000000000000));\n\n  _frc_plus  = frc;\n  _frc_minus = ((f << m) - 1) << e - m - exp;\n  _exp = exp;\n}\n\n// @ts-ignore: decorator\n@inline\nfunction grisuRound(buffer: usize, len: i32, delta: u64, rest: u64, ten_kappa: u64, wp_w: u64): void {\n  let lastp = buffer + ((len - 1) << 1);\n  let digit = load<u16>(lastp);\n  while (\n    rest < wp_w &&\n    delta - rest >= ten_kappa && (\n      rest + ten_kappa < wp_w ||\n      wp_w - rest > rest + ten_kappa - wp_w\n    )\n  ) {\n    --digit;\n    rest += ten_kappa;\n  }\n  store<u16>(lastp, digit);\n}\n\n// @ts-ignore: decorator\n@inline\nfunction getCachedPower(minExp: i32): void {\n  const c = reinterpret<f64>(0x3FD34413509F79FE); // 1 / lg(10) = 0.30102999566398114\n  let dk = (-61 - minExp) * c + 347;\t            // dk must be positive, so can do ceiling in positive\n  let k = <i32>dk;\n  k += i32(k != dk); // conversion with ceil\n\n  let index = (k >> 3) + 1;\n  _K = 348 - (index << 3);\t// decimal exponent no need lookup table\n  _frc_pow = load<u64>(FRC_POWERS + (<usize>index << alignof<u64>()));\n  _exp_pow = load<i16>(EXP_POWERS + (<usize>index << alignof<i16>()));\n}\n\n// @ts-ignore: decorator\n@inline\nfunction grisu2(value: f64, buffer: usize, sign: i32, isSingle: bool): i32 {\n  let frc: u64;\n  let exp: i32;\n\n  // frexp routine\n  if (isSingle) {\n    let uv = reinterpret<u32>(<f32>value);\n    exp = (uv & 0x7F800000) >>> 23;\n    let sid = uv & 0x007FFFFF;\n    frc = (u64(exp != 0) << 23) + sid;\n    exp = (exp || 1) - (0x7F + 23);\n  } else {\n    let uv = reinterpret<u64>(value);\n    exp = i32((uv & 0x7FF0000000000000) >>> 52);\n    let sid = uv & 0x000FFFFFFFFFFFFF;\n    frc = (u64(exp != 0) << 52) + sid;\n    exp = (exp || 1) - (0x3FF + 52);\n  }\n\n  normalizedBoundaries(frc, exp, isSingle);\n  getCachedPower(_exp);\n\n  // normalize\n  let off = <i32>clz<u64>(frc);\n  frc <<= off;\n  exp  -= off;\n\n  let frc_pow = _frc_pow;\n  let exp_pow = _exp_pow;\n\n  let w_frc = umul64f(frc, frc_pow);\n  let w_exp = umul64e(exp, exp_pow);\n\n  let wp_frc = umul64f(_frc_plus, frc_pow) - 1;\n  let wp_exp = umul64e(_exp, exp_pow);\n\n  let wm_frc = umul64f(_frc_minus, frc_pow) + 1;\n  let delta  = wp_frc - wm_frc;\n\n  return genDigits(buffer, w_frc, w_exp, wp_frc, wp_exp, delta, sign);\n}\n\nfunction genDigits(buffer: usize, w_frc: u64, w_exp: i32, mp_frc: u64, mp_exp: i32, delta: u64, sign: i32): i32 {\n  let one_exp = -mp_exp;\n  let one_frc = (<u64>1) << one_exp;\n  let mask    = one_frc - 1;\n\n  let wp_w_frc = mp_frc - w_frc;\n\n  let p1 = u32(mp_frc >> one_exp);\n  let p2 = mp_frc & mask;\n\n  let kappa = <i32>decimalCount32(p1);\n  let len = sign;\n\n  while (kappa > 0) {\n    let d: u32;\n    switch (kappa) {\n      case 10: { d = p1 / 1000000000; p1 %= 1000000000; break; }\n      case  9: { d = p1 /  100000000; p1 %=  100000000; break; }\n      case  8: { d = p1 /   10000000; p1 %=   10000000; break; }\n      case  7: { d = p1 /    1000000; p1 %=    1000000; break; }\n      case  6: { d = p1 /     100000; p1 %=     100000; break; }\n      case  5: { d = p1 /      10000; p1 %=      10000; break; }\n      case  4: { d = p1 /       1000; p1 %=       1000; break; }\n      case  3: { d = p1 /        100; p1 %=        100; break; }\n      case  2: { d = p1 /         10; p1 %=         10; break; }\n      case  1: { d = p1;              p1 =           0; break; }\n      default: { d = 0; break; }\n    }\n\n    if (d | len) store<u16>(buffer + (len++ << 1), CharCode._0 + <u16>d);\n\n    --kappa;\n    let tmp = ((<u64>p1) << one_exp) + p2;\n    if (tmp <= delta) {\n      _K += kappa;\n      grisuRound(buffer, len, delta, tmp, <u64>load<u32>(POWERS10 + (<usize>kappa << alignof<u32>())) << one_exp, wp_w_frc);\n      return len;\n    }\n  }\n\n  while (true) {\n    p2    *= 10;\n    delta *= 10;\n\n    let d = p2 >> one_exp;\n    if (d | len) store<u16>(buffer + (len++ << 1), CharCode._0 + <u16>d);\n\n    p2 &= mask;\n    --kappa;\n    if (p2 < delta) {\n      _K += kappa;\n      wp_w_frc *= <u64>load<u32>(POWERS10 + (<usize>-kappa << alignof<u32>()));\n      grisuRound(buffer, len, delta, p2, one_frc, wp_w_frc);\n      return len;\n    }\n  }\n}\n\n// @ts-ignore: decorator\n@inline\nfunction genExponent(buffer: usize, k: i32): i32 {\n  let sign = k < 0;\n  if (sign) k = -k;\n  let decimals = decimalCount32(k) + 1;\n  utoa32_dec_core(buffer, k, decimals);\n  store<u16>(buffer, <u16>select<u32>(CharCode.MINUS, CharCode.PLUS, sign));\n  return decimals;\n}\n\nfunction prettify(buffer: usize, length: i32, k: i32): i32 {\n  if (!k) {\n    store<u32>(buffer + (length << 1), CharCode.DOT | (CharCode._0 << 16));\n    return length + 2;\n  }\n\n  let kk = length + k;\n  if (length <= kk && kk <= 21) {\n    // 1234e7 -> 12340000000\n    for (let i = length; i < kk; ++i) {\n      store<u16>(buffer + (i << 1), CharCode._0);\n    }\n    store<u32>(buffer + (kk << 1), CharCode.DOT | (CharCode._0 << 16));\n    return kk + 2;\n  } else if (kk > 0 && kk <= 21) {\n    // 1234e-2 -> 12.34\n    let ptr = buffer + (kk << 1);\n    memory.copy(\n      ptr + 2,\n      ptr,\n      -k << 1\n    );\n    store<u16>(buffer + (kk << 1), CharCode.DOT);\n    return length + 1;\n  } else if (-6 < kk && kk <= 0) {\n    // 1234e-6 -> 0.001234\n    let offset = 2 - kk;\n    memory.copy(\n      buffer + (offset << 1),\n      buffer,\n      length << 1\n    );\n    store<u32>(buffer, CharCode._0 | (CharCode.DOT << 16));\n    for (let i = 2; i < offset; ++i) {\n      store<u16>(buffer + (i << 1), CharCode._0);\n    }\n    return length + offset;\n  } else if (length == 1) {\n    // 1e30\n    store<u16>(buffer, CharCode.e, 2);\n    length = genExponent(buffer + 4, kk - 1);\n    return length + 2;\n  } else {\n    let len = length << 1;\n    memory.copy(\n      buffer + 4,\n      buffer + 2,\n      len - 2\n    );\n    store<u16>(buffer,       CharCode.DOT, 2);\n    store<u16>(buffer + len, CharCode.e,   2);\n    length += genExponent(buffer + len + 4, kk - 1);\n    return length + 2;\n  }\n}\n\nfunction dtoa_core(buffer: usize, value: f64, isSingle: bool): i32 {\n  let sign = i32(value < 0);\n  if (sign) {\n    value = -value;\n    store<u16>(buffer, CharCode.MINUS);\n  }\n  // assert(value > 0 && value <= (isSingle ? f32.MAX_VALUE : f64.MAX_VALUE));\n  let len = grisu2(value, buffer, sign, isSingle);\n  len = prettify(buffer + (sign << 1), len - sign, _K);\n  return len + sign;\n}\n\n// @ts-ignore: decorator\n@lazy @inline const dtoa_buf = memory.data(MAX_DOUBLE_LENGTH << 1);\n\nexport function dtoa<T extends number>(value: T): String {\n  const isSingle = isFloat<T>() && sizeof<T>() == 4;\n  return dtoa_impl(value, isSingle);\n}\n\n// @ts-ignore: decorator\n@inline\nfunction dtoa_impl(value: f64, isSingle: bool): String {\n  if (value == 0) return \"0.0\";\n  if (!isFinite(value)) {\n    if (isNaN(value)) return \"NaN\";\n    return select<String>(\"-Infinity\", \"Infinity\", value < 0);\n  }\n  let size = dtoa_core(dtoa_buf, value, isSingle) << 1;\n  let result = changetype<String>(__new(size, idof<String>()));\n  memory.copy(changetype<usize>(result), dtoa_buf, size);\n  return result;\n}\n\nexport function itoa_buffered<T extends number>(buffer: usize, value: T): u32 {\n  let sign: u32 = 0;\n  if (isSigned<T>()) {\n    sign = u32(value < 0);\n    if (sign) {\n      if (sizeof<T>() == 1) {\n        if (value == -0x80) {\n          // -0x80  ->  -128\n          store<u64>(buffer,\n            <u64>CharCode.MINUS |\n            <u64>(CharCode._0 + 1) << 16 |\n            <u64>(CharCode._0 + 2) << 32 |\n            <u64>(CharCode._0 + 8) << 48\n          );\n          return 4;\n        }\n      }\n      if (sizeof<T>() == 2) {\n        if (value == -0x8000) {\n          // -0x8000  ->  -32768\n          store<u64>(buffer,\n            <u64>CharCode.MINUS |\n            <u64>(CharCode._0 + 3) << 16 |\n            <u64>(CharCode._0 + 2) << 32 |\n            <u64>(CharCode._0 + 7) << 48\n          ); // -327\n          store<u32>(buffer + 8,\n            (CharCode._0 + 6) << 0 |\n            (CharCode._0 + 8) << 16\n          ); // 68\n          return 6;\n        }\n      }\n      store<u16>(buffer, CharCode.MINUS);\n      // @ts-ignore\n      value = -value;\n    }\n  }\n  let dest = buffer + (sign << 1);\n  if (ASC_SHRINK_LEVEL <= 1) {\n    if (isSigned<T>()) {\n      if (sizeof<T>() <= 4) {\n        if (<u32>value < 10) {\n          store<u16>(dest, value | CharCode._0);\n          return 1 + sign;\n        }\n      } else {\n        if (<u64>value < 10) {\n          store<u16>(dest, value | CharCode._0);\n          return 1 + sign;\n        }\n      }\n    } else {\n      if (value < 10) {\n        store<u16>(buffer, value | CharCode._0);\n        return 1;\n      }\n    }\n  }\n  let decimals: u32 = 0;\n  if (sizeof<T>() <= 4) {\n    let val32 = <u32>value;\n    decimals = decimalCount32(val32);\n    utoa32_dec_core(dest, val32, decimals);\n  } else {\n    if (<u64>value <= <u64>u32.MAX_VALUE) {\n      let val32 = <u32>value;\n      decimals = decimalCount32(val32);\n      utoa32_dec_core(dest, val32, decimals);\n    } else {\n      let val64 = <u64>value;\n      decimals = decimalCount64High(val64);\n      utoa64_dec_core(dest, val64, decimals);\n    }\n  }\n  return sign + decimals;\n}\n\nexport function dtoa_buffered<T extends number>(buffer: usize, value: T): u32 {\n  const isSingle = isFloat<T>() && sizeof<T>() == 4;\n  return dtoa_buffered_impl(buffer, value, isSingle);\n}\n\n// @ts-ignore: decorator\n@inline\nfunction dtoa_buffered_impl(buffer: usize, value: f64, isSingle: bool): u32 {\n  if (value == 0) {\n    store<u16>(buffer, CharCode._0);\n    store<u16>(buffer, CharCode.DOT, 2);\n    store<u16>(buffer, CharCode._0,  4);\n    return 3;\n  }\n  if (!isFinite(value)) {\n    if (isNaN(value)) {\n      store<u16>(buffer, CharCode.N);\n      store<u16>(buffer, CharCode.a, 2);\n      store<u16>(buffer, CharCode.N, 4);\n      return 3;\n    } else {\n      let sign = value < 0;\n      if (sign) {\n        store<u16>(buffer, CharCode.MINUS); // -\n        buffer += 2;\n      }\n      store<u64>(buffer, 0x690066006E0049, 0); // ifnI\n      store<u64>(buffer, 0x7900740069006E, 8); // ytin\n      return 8 + u32(sign);\n    }\n  }\n  return dtoa_core(buffer, value, isSingle);\n}\n","import {\n  itoa32,\n  utoa32,\n  itoa64,\n  utoa64,\n  dtoa,\n  itoa_buffered,\n  dtoa_buffered,\n  MAX_DOUBLE_LENGTH\n} from \"./number\";\n\nimport {\n  ipow32\n} from \"../math\";\n\n// All tables are stored as two staged lookup tables (static tries)\n// because the full range of Unicode symbols can't be efficiently\n// represented as-is in memory (see Unicode spec ch 5, p.196):\n// https://www.unicode.org/versions/Unicode12.0.0/ch05.pdf\n// Tables have been generated using these forked musl tools:\n// https://github.com/MaxGraey/musl-chartable-tools/tree/case-ignorable\n\n// Lookup table to check if a character is alphanumeric or not\n// See: https://git.musl-libc.org/cgit/musl/tree/src/ctype/alpha.h\n// size: 3904 bytes\n// @ts-ignore\n@inline @lazy const ALPHA_TABLE = memory.data<u8>([\n  18,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,17,34,35,36,17,37,38,39,40,\n  41,42,43,44,17,45,46,47,16,16,48,16,16,16,16,16,16,16,49,50,51,16,52,53,16,16,\n  17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,54,\n  17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,\n  17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,\n  17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,\n  17,17,17,55,17,17,17,17,56,17,57,58,59,60,61,62,17,17,17,17,17,17,17,17,17,17,\n  17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,\n  17,17,17,17,17,17,17,63,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17,64,65,17,66,67,\n  68,69,70,71,72,73,74,17,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,\n  93,94,16,95,96,97,98,17,17,17,99,100,101,16,16,16,16,16,16,16,16,16,16,17,17,\n  17,17,102,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17,17,103,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,17,17,104,105,16,16,106,107,17,17,17,17,17,17,17,17,17,17,17,17,17,\n  17,17,17,17,17,17,17,17,17,17,108,17,17,17,17,109,110,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  17,111,112,16,16,16,16,16,16,16,16,16,113,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,114,115,116,117,16,16,16,16,16,16,16,16,118,\n  119,120,16,16,16,16,16,121,122,16,16,16,16,123,16,16,124,16,16,16,16,16,16,16,\n  16,16,125,16,16,16,\n  16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,0,0,0,0,0,0,0,0,254,255,255,7,254,\n  255,255,7,0,0,0,0,0,4,32,4,255,255,127,255,255,255,127,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,195,255,3,0,31,80,0,0,0,0,0,0,0,0,0,0,32,0,0,0,0,0,223,188,64,215,255,255,\n  251,255,255,255,255,255,255,255,255,255,191,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,3,252,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,254,255,255,255,127,2,255,255,255,\n  255,255,1,0,0,0,0,255,191,182,0,255,255,255,135,7,0,0,0,255,7,255,255,255,255,\n  255,255,255,254,255,195,255,255,255,255,255,255,255,255,255,255,255,255,239,\n  31,254,225,255,\n  159,0,0,255,255,255,255,255,255,0,224,255,255,255,255,255,255,255,255,255,255,\n  255,255,3,0,255,255,255,255,255,7,48,4,255,255,255,252,255,31,0,0,255,255,255,\n  1,255,7,0,0,0,0,0,0,255,255,223,255,255,0,240,255,248,3,255,255,255,255,255,\n  255,255,255,255,239,255,223,225,255,207,255,254,255,239,159,249,255,255,253,\n  197,227,159,89,128,176,207,255,3,16,238,135,249,255,255,253,109,195,135,25,2,\n  94,192,255,63,0,238,191,251,255,255,253,237,227,191,27,1,0,207,255,0,30,238,\n  159,249,255,255,253,237,227,159,25,192,176,207,255,2,0,236,199,61,214,24,199,\n  255,195,199,29,129,0,192,255,0,0,239,223,253,255,255,253,255,227,223,29,96,7,\n  207,255,0,0,239,223,253,255,255,253,239,227,223,29,96,64,207,255,6,0,255,223,\n  253,255,255,255,255,231,223,93,240,128,207,255,0,252,238,255,127,252,255,255,\n  251,47,127,128,95,255,192,255,12,0,254,255,255,255,255,127,255,7,63,32,255,3,\n  0,0,0,0,214,247,255,255,175,255,255,59,95,32,255,243,0,0,0,\n  0,1,0,0,0,255,3,0,0,255,254,255,255,255,31,254,255,3,255,255,254,255,255,255,\n  31,0,0,0,0,0,0,0,0,255,255,255,255,255,255,127,249,255,3,255,255,255,255,255,\n  255,255,255,255,63,255,255,255,255,191,32,255,255,255,255,255,247,255,255,255,\n  255,255,255,255,255,255,61,127,61,255,255,255,255,255,61,255,255,255,255,61,\n  127,61,255,127,255,255,255,255,255,255,255,61,255,255,255,255,255,255,255,255,\n  7,0,0,0,0,255,255,0,0,255,255,255,255,255,255,255,255,255,255,63,63,254,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,159,255,255,254,255,255,7,255,255,255,255,255,255,255,255,\n  255,199,255,1,255,223,15,0,255,255,15,0,255,255,15,0,255,223,13,0,255,255,255,\n  255,255,255,207,255,255,1,128,16,255,3,0,0,0,0,255,3,255,255,255,255,255,255,\n  255,255,255,255,255,1,255,255,255,255,255,7,255,255,255,255,255,255,255,255,\n  63,\n  0,255,255,255,127,255,15,255,1,192,255,255,255,255,63,31,0,255,255,255,255,\n  255,15,255,255,255,3,255,3,0,0,0,0,255,255,255,15,255,255,255,255,255,255,255,\n  127,254,255,31,0,255,3,255,3,128,0,0,128,1,0,0,0,0,0,0,0,255,255,255,255,255,\n  255,239,255,239,15,255,3,0,0,0,0,255,255,255,255,255,243,255,255,255,255,255,\n  255,191,255,3,0,255,255,255,255,255,255,127,0,255,227,255,255,255,255,255,63,\n  255,1,255,255,255,255,255,231,0,0,0,0,0,222,111,4,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,0,0,0,0,\n  128,255,31,0,255,255,63,63,255,255,255,255,63,63,255,170,255,255,255,63,255,\n  255,255,255,255,255,223,95,220,31,207,15,255,31,220,31,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,2,128,0,0,255,31,0,0,0,0,0,0,0,0,0,0,0,0,132,252,47,62,80,189,255,243,\n  224,67,0,0,255,255,255,255,255,1,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,192,255,255,255,255,255,255,3,0,\n  0,255,255,255,255,255,127,255,255,255,255,255,127,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,31,120,12,0,255,255,255,255,191,32,255,\n  255,255,255,255,255,255,128,0,0,255,255,127,0,127,127,127,127,127,127,127,127,\n  255,255,255,255,0,0,0,0,0,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,224,0,0,0,254,3,62,31,254,255,255,255,255,255,255,255,255,255,127,224,254,\n  255,255,255,255,255,255,255,255,255,255,247,224,255,255,255,255,255,254,255,\n  255,255,255,255,255,255,255,255,255,127,0,0,255,255,255,255,0,0,0,0,0,0,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,0,0,0,0,0,0,0,0,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,\n  31,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,31,0,0,\n  0,0,0,0,0,0,255,255,255,255,255,63,255,31,255,255,255,15,0,0,255,255,255,255,\n  255,127,240,143,255,255,255,255,255,255,255,255,255,255,255,255,255,255,0,0,0,\n  0,128,255,252,255,255,255,255,255,255,255,255,255,255,255,255,249,255,255,255,\n  255,255,255,252,7,0,0,0,0,224,255,191,255,255,255,255,0,0,0,255,255,255,255,\n  255,255,15,0,255,255,255,255,255,255,255,255,47,0,255,3,0,0,252,232,255,255,\n  255,255,255,7,255,255,255,255,7,0,255,255,255,31,255,255,255,255,255,255,247,\n  255,0,128,255,3,255,255,255,127,255,255,255,255,255,255,127,0,255,63,255,3,\n  255,255,127,252,255,255,255,255,255,255,255,127,5,0,0,56,255,255,60,0,126,126,\n  126,0,127,127,255,255,255,255,255,247,255,3,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,7,255,3,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,15,0,255,255,127,248,255,255,255,255,\n  255,\n  15,255,255,255,255,255,255,255,255,255,255,255,255,255,63,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,3,0,0,0,0,127,0,248,224,255,253,127,95,219,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,3,0,0,0,248,255,255,255,\n  255,255,255,255,255,255,255,255,255,63,0,0,255,255,255,255,255,255,255,255,\n  252,255,255,255,255,255,255,0,0,0,0,0,255,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,223,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,31,0,0,255,3,\n  254,255,255,7,254,255,255,7,192,255,255,255,255,255,255,255,255,255,255,127,\n  252,252,252,28,0,0,0,0,255,239,255,255,127,255,255,183,255,63,255,63,0,0,0,0,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,7,0,0,0,0,0,0,0,0,\n  255,255,255,255,255,255,31,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,255,255,255,31,255,255,255,255,255,255,1,0,0,0,0,\n  0,255,255,255,255,0,224,255,255,255,7,255,255,255,255,255,7,255,255,255,63,\n  255,255,255,255,15,255,62,0,0,0,0,0,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,63,255,3,255,255,255,255,15,255,255,255,\n  255,15,255,255,255,255,255,0,255,255,255,255,255,255,15,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,255,255,255,255,255,255,127,0,255,255,63,0,255,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,63,253,255,255,255,255,191,145,255,255,63,0,255,255,\n  127,0,255,255,255,127,0,0,0,0,0,0,0,0,255,255,55,0,255,255,63,0,255,255,255,3,\n  0,0,0,0,0,0,0,0,255,255,255,255,255,255,255,192,0,0,0,0,0,0,0,0,111,240,239,\n  254,255,255,63,0,0,0,0,0,255,255,255,31,255,255,255,31,0,0,0,0,255,254,255,\n  255,31,0,0,0,255,255,255,255,255,255,63,0,255,255,63,0,255,255,7,0,255,255,3,\n  0,0,0,0,0,0,0,0,0,0,0,0,\n  0,255,255,255,255,255,255,255,255,255,1,0,0,0,0,0,0,255,255,255,255,255,255,7,\n  0,255,255,255,255,255,255,7,0,255,255,255,255,255,0,255,3,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,\n  255,27,3,0,0,0,0,0,0,0,0,0,255,255,255,31,128,0,255,255,63,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,255,255,31,0,0,0,255,255,127,0,255,255,255,255,255,255,255,255,63,0,0,\n  0,192,255,0,0,252,255,255,255,255,255,255,1,0,0,255,255,255,1,255,3,255,255,\n  255,255,255,255,199,255,240,0,255,255,255,255,71,0,255,255,255,255,255,255,\n  255,255,30,192,255,23,0,0,0,0,255,255,251,255,255,255,159,64,0,0,0,0,0,0,0,0,\n  127,189,255,191,255,1,255,255,255,255,255,255,255,1,255,3,239,159,249,255,255,\n  253,237,227,159,25,129,224,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,255,255,255,255,255,255,255,255,187,7,255,131,3,0,0,0,255,255,255,255,255,\n  255,255,255,179,0,255,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,\n  255,255,255,63,127,0,0,0,63,0,0,0,0,255,255,255,255,255,255,255,127,17,0,255,\n  3,0,0,0,0,255,255,255,255,255,255,63,1,255,3,0,0,0,0,0,0,255,255,255,231,255,\n  7,255,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,\n  255,255,1,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,255,255,255,3,0,128,\n  127,242,111,255,255,255,191,153,7,0,255,3,0,0,0,0,0,0,0,0,255,252,255,255,255,\n  255,255,252,26,0,0,0,255,255,255,255,255,255,231,127,0,0,255,255,255,255,255,\n  255,255,255,255,32,0,0,0,0,255,255,255,255,255,255,255,1,255,253,255,255,255,\n  255,127,127,1,0,255,3,0,0,252,255,255,255,252,255,255,254,127,0,0,0,0,0,0,0,0,\n  0,127,251,255,255,255,255,127,180,203,0,255,3,191,253,255,255,255,127,123,1,\n  255,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,255,255,127,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,\n  0,0,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,3,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,127,0,0,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,255,255,255,255,255,127,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,255,255,255,255,255,255,255,255,127,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,\n  0,255,255,255,255,255,255,255,1,255,255,255,127,255,3,0,0,0,0,0,0,0,0,0,0,0,0,\n  255,255,255,63,0,0,255,255,255,255,255,255,0,0,15,0,255,3,248,255,255,224,255,\n  255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,255,\n  255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,255,255,255,135,\n  255,255,255,255,255,255,255,128,255,255,0,0,0,0,0,0,0,0,11,0,3,0,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,0,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,63,0,0,0,0,0,\n  255,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,\n  127,0,0,0,0,0,0,7,0,240,0,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,15,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,7,255,31,255,1,255,67,0,0,0,0,0,0,0,0,0,0,0,0,\n  255,255,255,255,255,255,255,255,255,255,223,255,255,255,255,255,255,255,255,\n  223,100,222,255,235,239,255,255,255,255,255,255,255,191,231,223,223,255,255,\n  255,123,95,252,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,63,255,255,255,253,255,255,247,255,255,255,\n  247,255,255,223,255,255,255,223,255,255,127,255,255,255,127,255,255,255,253,\n  255,255,255,253,255,255,247,207,255,255,255,255,255,255,127,255,255,249,219,7,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,31,\n  128,63,255,67,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,15,255,\n  3,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,31,0,0,0,0,0,0,0,255,255,255,255,255,255,255,255,143,8,\n  255,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,239,255,255,255,150,254,247,10,\n  132,234,150,170,150,247,247,94,255,251,255,15,238,251,255,15,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,255,255,255,3,255,255,255,3,255,255,255,3,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,3\n]);\n\n// size: 1568 bytes (compressed to ~1380 bytes after binaryen)\n// @ts-ignore: decorator\n@lazy @inline const CASED = memory.data<u8>([\n  18,19,20,21,22,23,16,16,16,16,16,16,16,16,16,16,\n  24,16,16,25,16,16,16,16,16,16,16,16,26,27,17,28,\n  29,30,16,16,31,16,16,16,16,16,16,16,32,33,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,34,35,16,16,16,36,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,37,16,16,16,38,\n  16,16,16,16,39,16,16,16,16,16,16,16,40,16,16,16,\n  16,16,16,16,16,16,16,16,41,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,42,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,43,44,45,46,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,47,16,16,16,16,16,16,\n  16,48,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  0,0,0,0,0,0,0,0,254,255,255,7,254,255,255,7,0,0,0,0,0,4,32,4,\n  255,255,127,255,255,255,127,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,247,240,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,239,255,255,255,255,1,3,0,0,0,31,0,0,0,\n  0,0,0,0,0,0,0,0,32,0,0,0,0,0,207,188,64,215,255,255,251,255,255,255,\n  255,255,255,255,255,255,191,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  3,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,\n  255,255,127,0,255,255,255,255,255,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,\n  191,32,255,255,255,255,255,231,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,255,255,255,255,255,255,255,255,255,255,63,63,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,255,1,255,255,255,255,255,231,0,0,0,0,0,0,0,0,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  0,0,0,0,0,0,0,0,255,255,63,63,255,255,255,255,63,63,255,170,255,255,255,63,\n  255,255,255,255,255,255,223,95,220,31,207,15,255,31,220,31,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,2,128,0,0,255,31,0,0,0,0,0,0,0,0,0,0,0,0,\n  132,252,47,62,80,189,31,242,224,67,0,0,255,255,255,255,24,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,192,255,255,255,255,255,255,3,0,0,255,255,255,255,255,127,255,255,\n  255,255,255,127,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,31,120,12,0,\n  255,255,255,255,191,32,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,63,0,0,\n  255,255,255,63,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,252,255,255,255,\n  255,255,255,255,255,255,255,255,255,120,255,255,255,255,255,255,252,7,0,0,0,0,96,7,\n  0,0,0,0,0,0,255,255,255,255,255,247,255,1,255,255,255,255,255,255,255,255,255,255,\n  0,0,0,0,0,0,0,0,127,0,248,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,254,255,255,7,\n  254,255,255,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  255,255,255,255,255,255,255,255,255,255,0,0,0,0,0,0,0,0,0,0,0,0,255,255,\n  255,255,15,255,255,255,255,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  255,255,255,255,255,255,7,0,255,255,255,255,255,255,7,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,255,255,0,0,0,0,\n  0,0,0,0,0,0,0,0,255,255,255,255,255,255,255,255,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,255,255,255,255,255,255,255,255,255,255,223,255,255,255,255,255,\n  255,255,255,223,100,222,255,235,239,255,255,255,255,255,255,255,191,231,223,223,255,255,255,123,\n  95,252,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,63,255,255,255,\n  253,255,255,247,255,255,255,247,255,255,223,255,255,255,223,255,255,127,255,255,255,127,255,255,\n  255,253,255,255,255,253,255,255,247,15,0,0,0,0,0,0,255,255,255,255,255,255,255,255,\n  15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,255,255,255,3,255,255,255,3,255,255,255,3,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0\n]);\n\n// size: 2976 bytes (compressed to ~2050 bytes after binaryen)\n// @ts-ignore: decorator\n@lazy @inline const CASE_IGNORABLES = memory.data<u8>([\n  18,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,\n  33,16,16,34,16,16,16,35,36,37,38,39,40,41,16,42,\n  43,16,16,16,16,16,16,16,16,16,16,16,44,45,46,16,\n  47,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  48,16,16,16,49,16,50,51,52,53,54,55,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,56,16,16,57,58,\n  16,59,60,61,16,16,16,16,16,16,62,16,16,63,64,65,\n  66,67,68,69,70,71,72,73,74,75,76,16,77,78,79,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,80,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,81,82,16,16,16,83,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,84,16,16,16,\n  16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,\n  16,85,86,16,16,16,16,16,16,16,87,16,16,16,16,16,\n  88,89,90,16,16,16,16,16,91,92,16,16,16,16,16,16,\n  16,16,16,93,16,16,16,16,16,16,16,16,16,16,16,16,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  0,0,0,0,128,64,0,4,0,0,0,64,1,0,0,0,0,0,0,0,0,161,144,1,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,\n  255,255,255,255,255,255,48,4,176,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,3,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,130,0,0,0,0,\n  0,0,254,255,255,255,255,191,182,0,0,0,0,0,16,0,63,0,255,23,0,0,0,0,\n  1,248,255,255,0,0,1,0,0,0,0,0,0,0,0,0,0,0,192,191,255,61,0,0,\n  0,128,2,0,0,0,255,255,255,7,0,0,0,0,0,0,0,0,0,0,192,255,1,0,\n  0,0,0,0,0,248,63,36,0,0,192,255,255,63,0,0,0,0,0,14,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,248,255,255,255,255,255,7,0,0,0,0,0,0,20,\n  254,33,254,0,12,0,2,0,2,0,0,0,0,0,0,16,30,32,0,0,12,0,0,64,\n  6,0,0,0,0,0,0,16,134,57,2,0,0,0,35,0,6,0,0,0,0,0,0,16,\n  190,33,0,0,12,0,0,252,2,0,0,0,0,0,0,144,30,32,96,0,12,0,0,0,\n  4,0,0,0,0,0,0,0,1,32,0,0,0,0,0,0,17,0,0,0,0,0,0,192,\n  193,61,96,0,12,0,0,0,2,0,0,0,0,0,0,144,64,48,0,0,12,0,0,0,\n  3,0,0,0,0,0,0,24,30,32,0,0,12,0,0,0,2,0,0,0,0,0,0,0,\n  0,4,92,0,0,0,0,0,0,0,0,0,0,0,242,7,192,127,0,0,0,0,0,0,\n  0,0,0,0,0,0,242,31,64,63,0,0,0,0,0,0,0,0,0,3,0,0,160,2,\n  0,0,0,0,0,0,254,127,223,224,255,254,255,255,255,31,64,0,0,0,0,0,0,0,\n  0,0,0,0,0,224,253,102,0,0,0,195,1,0,30,0,100,32,0,32,0,0,0,0,\n  0,0,0,0,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,224,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,28,0,0,0,28,0,\n  0,0,12,0,0,0,12,0,0,0,0,0,0,0,176,63,64,254,143,32,0,0,0,0,\n  0,120,0,0,0,0,0,0,8,0,0,0,0,0,0,0,96,0,0,0,0,2,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,135,1,4,14,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,128,9,0,0,0,0,\n  0,0,64,127,229,31,248,159,0,0,0,0,128,0,255,255,1,0,0,0,0,0,0,0,\n  15,0,0,0,0,0,208,23,4,0,0,0,0,248,15,0,3,0,0,0,60,59,0,0,\n  0,0,0,0,64,163,3,0,0,0,0,0,0,240,207,0,0,0,0,0,0,0,0,63,\n  0,0,0,0,0,0,0,0,0,0,247,255,253,33,16,3,0,0,0,0,0,240,255,255,\n  255,255,255,255,255,7,0,1,0,0,0,248,255,255,255,255,255,255,255,255,255,255,255,251,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,\n  3,224,0,224,0,224,0,96,0,248,0,3,144,124,0,0,0,0,0,0,223,255,2,128,\n  0,0,255,31,0,0,0,0,0,0,255,255,255,255,1,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,48,0,0,0,0,0,0,0,0,0,0,0,0,0,128,3,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,128,0,128,0,0,0,0,0,0,0,0,\n  0,0,0,0,255,255,255,255,0,0,0,0,0,128,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,32,0,0,0,0,60,62,8,\n  0,0,0,0,0,0,0,0,0,0,0,126,0,0,0,0,0,0,0,0,0,0,0,112,\n  0,0,32,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,63,0,16,0,0,0,0,0,0,\n  0,0,0,0,0,128,247,191,0,0,0,240,0,0,0,0,0,0,0,0,0,0,3,0,\n  255,255,255,255,3,0,0,0,0,0,0,0,0,0,1,0,0,7,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,3,68,8,0,0,96,16,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,48,0,0,0,255,255,3,128,0,0,0,0,192,63,0,0,\n  128,255,3,0,0,0,0,0,7,0,0,0,0,0,200,51,0,128,0,0,96,0,0,0,\n  0,0,0,0,0,126,102,0,8,16,0,0,0,0,1,16,0,0,0,0,0,0,157,193,\n  2,0,0,32,0,48,88,0,0,0,0,0,0,0,0,0,0,0,0,248,0,14,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,32,33,0,0,0,0,0,64,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,252,255,3,0,0,0,0,0,0,0,\n  255,255,8,0,255,255,0,0,0,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,128,128,64,0,4,0,0,0,64,1,0,0,0,0,0,1,0,\n  0,0,0,192,0,0,0,0,0,0,0,0,8,0,0,14,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,32,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,192,7,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,110,240,0,0,0,0,0,135,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,96,0,0,0,\n  0,0,0,0,240,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  192,255,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  2,0,0,0,0,0,0,255,127,0,0,0,0,0,0,128,3,0,0,0,0,0,120,38,\n  0,32,0,0,0,0,0,0,7,0,0,0,128,239,31,0,0,0,0,0,0,0,8,0,\n  3,0,0,0,0,0,192,127,0,158,0,0,0,0,0,0,0,0,0,0,0,128,211,64,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,128,248,7,0,0,\n  3,0,0,0,0,0,0,24,1,0,0,0,192,31,31,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,92,0,0,64,0,0,0,0,\n  0,0,0,0,0,0,248,133,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,176,1,0,0,48,0,0,0,0,\n  0,0,0,0,0,0,248,167,1,0,0,0,0,0,0,0,0,0,0,0,0,40,191,0,\n  0,0,0,0,0,0,0,0,0,0,0,224,188,15,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,128,255,6,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,88,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,240,12,1,0,0,0,254,7,0,0,0,0,248,121,128,0,126,14,0,0,0,0,\n  0,252,127,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,127,191,\n  0,0,0,0,0,0,0,0,0,0,252,255,255,252,109,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,126,180,191,0,0,0,0,0,0,0,0,0,163,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,0,0,0,0,0,0,0,255,1,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,31,0,0,0,0,0,0,0,127,0,15,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,128,0,0,0,0,0,0,0,128,255,255,0,0,0,0,0,0,0,0,27,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,96,15,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,128,3,248,255,\n  231,15,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  255,255,255,255,255,255,127,248,255,255,255,255,255,31,32,0,16,0,0,248,254,255,0,0,\n  0,0,0,0,0,0,0,0,127,255,255,249,219,7,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,63,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,240,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,127,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  240,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,\n  0,0,0,0,0,0,0,248\n]);\n\n// @ts-ignore: decorator\n@lazy @inline const LOWER127 = memory.data<u8>([\n  0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,\n  16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,\n  32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,\n  48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,\n  64,\n  97,98,99,100,101,102,103,104,105,106,107,108,109,\n  110,111,112,113,114,115,116,117,118,119,120,121,122,\n  91,92,93,94,95,96,\n  97,98,99,100,101,102,103,104,105,106,107,108,109,\n  110,111,112,113,114,115,116,117,118,119,120,121,122,\n  123,124,125,126,127\n]);\n\n// @ts-ignore: decorator\n@lazy @inline const UPPER127 = memory.data<u8>([\n  0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,\n  16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,\n  32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,\n  48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,\n  64,\n  65,66,67,68,69,70,71,72,73,74,75,76,77,\n  78,79,80,81,82,83,84,85,86,87,88,89,90,\n  91,92,93,94,95,96,\n  65,66,67,68,69,70,71,72,73,74,75,76,77,\n  78,79,80,81,82,83,84,85,86,87,88,89,90,\n  123,124,125,126,127\n]);\n\n// 23 * 8 = 184 bytes\n// @ts-ignore: decorator\n@lazy @inline const POWERS10 = memory.data<f64>([\n  1e00, 1e01, 1e02, 1e03, 1e04, 1e05, 1e06, 1e07, 1e08, 1e09,\n  1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,\n  1e20, 1e21, 1e22\n]);\n\n// @ts-ignore: decorator\n@inline\nexport const enum CharCode {\n  PERCENT = 0x25,\n  PLUS = 0x2B,\n  MINUS = 0x2D,\n  DOT = 0x2E,\n  _0 = 0x30,\n  _1 = 0x31,\n  _2 = 0x32,\n  _3 = 0x33,\n  _4 = 0x34,\n  _5 = 0x35,\n  _6 = 0x36,\n  _7 = 0x37,\n  _8 = 0x38,\n  _9 = 0x39,\n  A = 0x41,\n  B = 0x42,\n  E = 0x45,\n  I = 0x49,\n  N = 0x4E,\n  O = 0x4F,\n  X = 0x58,\n  Z = 0x5A,\n  a = 0x61,\n  b = 0x62,\n  e = 0x65,\n  n = 0x6E,\n  o = 0x6F,\n  u = 0x75,\n  x = 0x78,\n  z = 0x7A\n}\n\n// @ts-ignore: decorator\n@inline\nexport function isAscii(c: u32): bool {\n  return !(c >> 7);\n}\n\n// @ts-ignore: decorator\n@inline\nexport function isLower8(c: u32): bool {\n  return c - CharCode.a < 26;\n}\n\n// @ts-ignore: decorator\n@inline\nexport function isUpper8(c: u32): bool {\n  return c - CharCode.A < 26;\n}\n\nexport function isSpace(c: u32): bool {\n  if (c < 0x1680) { // < <LS> (1)\n    // <SP>, <TAB>, <LF>, <VT>, <FF>, <CR> and <NBSP>\n    // (c == 0x20 || c == 0xA0) was optimized to (c | 0x80) == 0xA0\n    return ((c | 0x80) == 0xA0) || (c - 0x09 <= 0x0D - 0x09);\n  }\n  if (c - 0x2000 <= 0x200A - 0x2000) return true;\n  switch (c) {\n    case 0x1680: // <LS> (1)\n    case 0x2028: // <LS> (2)\n    case 0x2029: // <PS>\n    case 0x202F: // <NNS>\n    case 0x205F: // <MMSP>\n    case 0x3000: // <IS>\n    case 0xFEFF: return true; // <ZWNBSP>\n  }\n  return false;\n}\n\nexport function isAlpha(c: u32): bool {\n  if (isAscii(c)) return (c | 32) - CharCode.a < 26;\n  if (c < 0x20000) {\n    // @ts-ignore: cast\n    return stagedBinaryLookup(ALPHA_TABLE, c);\n  }\n  return c < 0x2FFFE;\n}\n\n// @ts-ignore: decorator\n@inline\nexport function isCased(c: u32): bool {\n  // @ts-ignore: cast\n  return c < 0x1F18A && stagedBinaryLookup(CASED, c);\n}\n\n// @ts-ignore: decorator\n@inline\nexport function isCaseIgnorable(c: u32): bool {\n  // @ts-ignore: cast\n  return c < 0xE01F0 && stagedBinaryLookup(CASE_IGNORABLES, c);\n}\n\n// @ts-ignore: decorator\n@inline\nexport function isFinalSigma(buffer: usize, index: isize, len: isize): bool {\n  const lookaheadLimit = 30; // max lookahead limit\n  let found = false;\n  let pos = index;\n  let minPos = max(0, pos - lookaheadLimit);\n  while (pos > minPos) {\n    let c = codePointBefore(buffer, pos);\n    if (!isCaseIgnorable(c)) {\n      if (isCased(c)) {\n        found = true;\n      } else {\n        return false;\n      }\n    }\n    pos -= isize(c >= 0x10000) + 1;\n  }\n  if (!found) return false;\n  pos = index + 1;\n  let maxPos = min(pos + lookaheadLimit, len);\n  while (pos < maxPos) {\n    let c = <u32>load<u16>(buffer + (pos << 1));\n    if (u32((c & 0xFC00) == 0xD800) & u32(pos + 1 != len)) {\n      let c1 = <u32>load<u16>(buffer + (pos << 1), 2);\n      if ((c1 & 0xFC00) == 0xDC00) {\n        c = (c - 0xD800 << 10) + (c1 - 0xDC00) + 0x10000;\n      }\n    }\n    if (!isCaseIgnorable(c)) {\n      return !isCased(c);\n    }\n    pos += isize(c >= 0x10000) + 1;\n  }\n  return true;\n}\n\n// @ts-ignore: decorator\n@inline\nfunction codePointBefore(buffer: usize, index: isize): i32 {\n  if (index <= 0) return -1;\n  let c = <u32>load<u16>(buffer + (index - 1 << 1));\n  if (u32((c & 0xFC00) == 0xDC00) & u32(index - 2 >= 0)) {\n    let c1 = <u32>load<u16>(buffer + (index - 2 << 1));\n    if ((c1 & 0xFC00) == 0xD800) {\n      return ((c1 & 0x3FF) << 10) + (c & 0x3FF) + 0x10000;\n    }\n  }\n  return (c & 0xF800) == 0xD800 ? 0xFFFD : c;\n}\n\n// Search routine for two-staged lookup tables\nfunction stagedBinaryLookup(table: usize, c: u32): bool {\n  return <bool>((load<u8>(table + (<u32>load<u8>(table + (c >>> 8)) << 5) + ((c & 255) >> 3)) >>> (c & 7)) & 1);\n}\n\nexport function compareImpl(str1: string, index1: usize, str2: string, index2: usize, len: usize): i32 {\n  let ptr1 = changetype<usize>(str1) + (index1 << 1);\n  let ptr2 = changetype<usize>(str2) + (index2 << 1);\n  if (ASC_SHRINK_LEVEL < 2) {\n    if (len >= 4 && !((ptr1 & 7) | (ptr2 & 7))) {\n      do {\n        if (load<u64>(ptr1) != load<u64>(ptr2)) break;\n        ptr1 += 8;\n        ptr2 += 8;\n        len  -= 4;\n      } while (len >= 4);\n    }\n  }\n  while (len--) {\n    let a = <i32>load<u16>(ptr1);\n    let b = <i32>load<u16>(ptr2);\n    if (a != b) return a - b;\n    ptr1 += 2;\n    ptr2 += 2;\n  }\n  return 0;\n}\n\n// @ts-ignore: decorator\n@inline\nexport function toLower8(c: u32): u32 {\n  if (ASC_SHRINK_LEVEL > 0) {\n    return c | u32(isUpper8(c)) << 5;\n  } else {\n    return <u32>load<u8>(LOWER127 + c);\n  }\n}\n\n// @ts-ignore: decorator\n@inline\nexport function toUpper8(c: u32): u32 {\n  if (ASC_SHRINK_LEVEL > 0) {\n    return c & ~(u32(isLower8(c)) << 5);\n  } else {\n    return <u32>load<u8>(UPPER127 + c);\n  }\n}\n\n/** Parses a string to an integer (usually), using the specified radix. */\nexport function strtol<T>(str: string, radix: i32 = 0): T {\n  let len = str.length;\n  if (!len) {\n    if (isFloat<T>()) {\n      // @ts-ignore: cast\n      return <T>NaN;\n    } else {\n      // @ts-ignore: cast\n      return <T>0;\n    }\n  }\n\n  let ptr = changetype<usize>(str) /* + HEAD -> offset */;\n  let code = <u32>load<u16>(ptr);\n\n  // trim white spaces\n  while (isSpace(code)) {\n    code = <u32>load<u16>(ptr += 2);\n    --len;\n  }\n  // determine sign\n  // @ts-ignore\n  let sign: T = 1;\n  if (code == CharCode.MINUS || code == CharCode.PLUS) {\n    if (!--len) {\n      if (isFloat<T>()) {\n        // @ts-ignore: cast\n        return <T>NaN;\n      } else {\n        // @ts-ignore: cast\n        return <T>0;\n      }\n    }\n    if (code == CharCode.MINUS) {\n      // @ts-ignore: type\n      sign = -1;\n    }\n    code = <u32>load<u16>(ptr += 2);\n  }\n\n  // See https://tc39.es/ecma262/#sec-parseint-string-radix\n  if (radix) {\n    if (radix < 2 || radix > 36) {\n      if (isFloat<T>()) {\n        // @ts-ignore: cast\n        return <T>NaN;\n      } else {\n        // @ts-ignore: cast\n        return <T>0;\n      }\n    }\n    // handle case as parseInt(\"0xFF\", 16) by spec\n    if (radix == 16) {\n      if (\n        len > 2 &&\n        code == CharCode._0 &&\n        (<u32>load<u16>(ptr, 2) | 32) == CharCode.x\n      ) {\n        ptr += 4; len -= 2;\n      }\n    }\n  } else {\n    // determine radix by literal prefix\n    if (code == CharCode._0 && len > 2) {\n      switch (<u32>load<u16>(ptr, 2) | 32) {\n        case CharCode.b: {\n          ptr += 4; len -= 2;\n          radix = 2;\n          break;\n        }\n        case CharCode.o: {\n          ptr += 4; len -= 2;\n          radix = 8;\n          break;\n        }\n        case CharCode.x: {\n          ptr += 4; len -= 2;\n          radix = 16;\n          break;\n        }\n      }\n    }\n    if (!radix) radix = 10;\n  }\n\n  // calculate value\n  // @ts-ignore: type\n  let num: T = 0;\n  let initial = len - 1;\n  while (len--) {\n    code = <u32>load<u16>(ptr);\n    if (code - CharCode._0 < 10) {\n      code -= CharCode._0;\n    } else if (code - CharCode.A <= <u32>(CharCode.Z - CharCode.A)) {\n      code -= CharCode.A - 10;\n    } else if (code - CharCode.a <= <u32>(CharCode.z - CharCode.a)) {\n      code -= CharCode.a - 10;\n    }\n    if (code >= <u32>radix) {\n      if (initial == len) {\n        if (isFloat<T>()) {\n          // @ts-ignore: cast\n          return <T>NaN;\n        } else {\n          // @ts-ignore: cast\n          return <T>0;\n        }\n      }\n      break;\n    }\n    // @ts-ignore: type\n    num = num * radix + code;\n    ptr += 2;\n  }\n  // @ts-ignore: type\n  return sign * num;\n}\n\nexport function strtod(str: string): f64 {\n  let len = str.length;\n  if (!len) return NaN;\n\n  let ptr  = changetype<usize>(str);\n  let code = <u32>load<u16>(ptr);\n\n  let sign = 1.0;\n  // skip white spaces\n  while (len && isSpace(code)) {\n    code = <u32>load<u16>(ptr += 2);\n    --len;\n  }\n  if (!len) return NaN;\n\n  // try parse '-' or '+'\n  if (code == CharCode.MINUS) {\n    if (!--len) return NaN;\n    code = <u32>load<u16>(ptr += 2);\n    sign = -1;\n  } else if (code == CharCode.PLUS) {\n    if (!--len) return NaN;\n    code = <u32>load<u16>(ptr += 2);\n  }\n\n  // try parse Infinity\n  if (len >= 8 && code == CharCode.I) {\n    if (\n      load<u64>(ptr, 0) == 0x690066006E0049 && // ifnI\n      load<u64>(ptr, 8) == 0x7900740069006E    // ytin\n    ) {\n      return Infinity * sign;\n    }\n    return NaN;\n  }\n  // validate next symbol\n  if (code != CharCode.DOT && <u32>(code - CharCode._0) >= 10) {\n    return NaN;\n  }\n  let savedPtr = ptr;\n  // skip zeros\n  while (code == CharCode._0) {\n    code = <u32>load<u16>(ptr += 2);\n    --len;\n  }\n  if (len <= 0) return 0.0 * sign;\n  const capacity = 19; // int(64 * 0.3010)\n  let pointed = false;\n  let consumed = 0;\n  let position = 0;\n  let x: u64 = 0;\n  if (code == CharCode.DOT) {\n    let noDigits = !(savedPtr - ptr);\n    ptr += 2; --len;\n    if (!len && noDigits) return NaN;\n    for (pointed = true; (code = <u32>load<u16>(ptr)) == CharCode._0; --position, ptr += 2) --len;\n    if (len <= 0) return 0.0 * sign;\n    if (!position && noDigits && code - CharCode._0 >= 10) return NaN;\n  }\n  for (let digit = code - CharCode._0; digit < 10 || (code == CharCode.DOT && !pointed); digit = code - CharCode._0) {\n    if (digit < 10) {\n      x = consumed < capacity ? 10 * x + digit : x | u64(!!digit);\n      ++consumed;\n    } else {\n      position = consumed;\n      pointed = true;\n    }\n    if (!--len) break;\n    code = <u32>load<u16>(ptr += 2);\n  }\n\n  if (!pointed) position = consumed;\n  return copysign<f64>(scientific(x, position - min(capacity, consumed) + parseExp(ptr, len)), sign);\n}\n\nexport function strtob(str: string): bool {\n  let size: usize = str.length << 1;\n  let offset: usize = 0;\n  if (size > 8) {\n    // try trim end whitespaces first\n    while (size && isSpace(load<u16>(changetype<usize>(str) + size - 2))) size -= 2;\n    if (size > 8) {\n      // trim start whitespaces\n      while (offset < size && isSpace(load<u16>(changetype<usize>(str) + offset))) offset += 2;\n      size -= offset;\n    }\n  }\n  if (size != 8) return false;\n  // \"true\" represents as \\00\\e\\00\\u\\00\\e\\00\\t (00 65 00 75 00 72 00 74)\n  return load<u64>(changetype<usize>(str) + offset) == 0x0065_0075_0072_0074;\n}\n\nexport function joinBooleanArray(dataStart: usize, length: i32, separator: string): string {\n  let lastIndex = length - 1;\n  if (lastIndex < 0) return \"\";\n  if (!lastIndex) return select(\"true\", \"false\", load<bool>(dataStart));\n\n  let sepLen = separator.length;\n  let valueLen = 5; // max possible length of element len(\"false\")\n  let estLen = (valueLen + sepLen) * lastIndex + valueLen;\n  let result = changetype<string>(__new(estLen << 1, idof<string>()));\n  let offset = 0;\n  let value: bool;\n  for (let i = 0; i < lastIndex; ++i) {\n    value = load<bool>(dataStart + i);\n    valueLen = 4 + i32(!value);\n    memory.copy(\n      changetype<usize>(result) + (<usize>offset << 1),\n      changetype<usize>(select(\"true\", \"false\", value)),\n      <usize>valueLen << 1\n    );\n    offset += valueLen;\n    if (sepLen) {\n      memory.copy(\n        changetype<usize>(result) + (<usize>offset << 1),\n        changetype<usize>(separator),\n        <usize>sepLen << 1\n      );\n      offset += sepLen;\n    }\n  }\n  value = load<bool>(dataStart + <usize>lastIndex);\n  valueLen = 4 + i32(!value);\n  memory.copy(\n    changetype<usize>(result) + (<usize>offset << 1),\n    changetype<usize>(select(\"true\", \"false\", value)),\n    valueLen << 1\n  );\n  offset += valueLen;\n\n  if (estLen > offset) return result.substring(0, offset);\n  return result;\n}\n\nexport function joinIntegerArray<T>(dataStart: usize, length: i32, separator: string): string {\n  let lastIndex = length - 1;\n  if (lastIndex < 0) return \"\";\n  if (!lastIndex) {\n    let value = load<T>(dataStart);\n    if (isSigned<T>()) {\n      if (sizeof<T>() <= 4) {\n        // @ts-ignore: type\n        return changetype<string>(itoa32(<i32>value, 10));\n      } else {\n        // @ts-ignore: type\n        return changetype<string>(itoa64(<i32>value, 10));\n      }\n    } else {\n      if (sizeof<T>() <= 4) {\n        // @ts-ignore: type\n        return changetype<string>(utoa32(<u32>value, 10));\n      } else {\n        // @ts-ignore: type\n        return changetype<string>(utoa64(<u64>value, 10));\n      }\n    }\n  }\n\n  let sepLen = separator.length;\n  const valueLen = (sizeof<T>() <= 4 ? 10 : 20) + i32(isSigned<T>());\n  let estLen = (valueLen + sepLen) * lastIndex + valueLen;\n  let result = changetype<string>(__new(estLen << 1, idof<string>()));\n  let offset = 0;\n  let value: T;\n  for (let i = 0; i < lastIndex; ++i) {\n    value = load<T>(dataStart + (<usize>i << alignof<T>()));\n    // @ts-ignore: type\n    offset += itoa_buffered<T>(changetype<usize>(result) + (<usize>offset << 1), value);\n    if (sepLen) {\n      memory.copy(\n        changetype<usize>(result) + (<usize>offset << 1),\n        changetype<usize>(separator),\n        <usize>sepLen << 1\n      );\n      offset += sepLen;\n    }\n  }\n  value = load<T>(dataStart + (<usize>lastIndex << alignof<T>()));\n  // @ts-ignore: type\n  offset += itoa_buffered<T>(changetype<usize>(result) + (<usize>offset << 1), value);\n  if (estLen > offset) return result.substring(0, offset);\n  return result;\n}\n\nexport function joinFloatArray<T>(dataStart: usize, length: i32, separator: string): string {\n  let lastIndex = length - 1;\n  if (lastIndex < 0) return \"\";\n  if (!lastIndex) {\n    return changetype<string>(dtoa(\n      // @ts-ignore: type\n      load<T>(dataStart))\n    );\n  }\n\n  const valueLen = MAX_DOUBLE_LENGTH;\n  let sepLen = separator.length;\n  let estLen = (valueLen + sepLen) * lastIndex + valueLen;\n  let result = changetype<string>(__new(estLen << 1, idof<string>()));\n  let offset = 0;\n  let value: T;\n  for (let i = 0; i < lastIndex; ++i) {\n    value = load<T>(dataStart + (<usize>i << alignof<T>()));\n    // @ts-ignore: type\n    offset += dtoa_buffered(changetype<usize>(result) + (<usize>offset << 1), value);\n    if (sepLen) {\n      memory.copy(\n        changetype<usize>(result) + (<usize>offset << 1),\n        changetype<usize>(separator),\n        <usize>sepLen << 1\n      );\n      offset += sepLen;\n    }\n  }\n  value = load<T>(dataStart + (<usize>lastIndex << alignof<T>()));\n  // @ts-ignore: type\n  offset += dtoa_buffered(changetype<usize>(result) + (<usize>offset << 1), value);\n  if (estLen > offset) return result.substring(0, offset);\n  return result;\n}\n\nexport function joinStringArray(dataStart: usize, length: i32, separator: string): string {\n  let lastIndex = length - 1;\n  if (lastIndex < 0) return \"\";\n  if (!lastIndex) {\n    // @ts-ignore: type\n    return load<string>(dataStart) || \"\";\n  }\n  let estLen = 0;\n  let value: string;\n  for (let i = 0; i < length; ++i) {\n    value = load<string>(dataStart + (<usize>i << alignof<string>()));\n    if (changetype<usize>(value) != 0) estLen += value.length;\n  }\n  let offset = 0;\n  let sepLen = separator.length;\n  let result = changetype<string>(__new((estLen + sepLen * lastIndex) << 1, idof<string>()));\n  for (let i = 0; i < lastIndex; ++i) {\n    value = load<string>(dataStart + (<usize>i << alignof<string>()));\n    if (changetype<usize>(value) != 0) {\n      let valueLen = value.length;\n      memory.copy(\n        changetype<usize>(result) + (<usize>offset << 1),\n        changetype<usize>(value),\n        <usize>valueLen << 1\n      );\n      offset += valueLen;\n    }\n    if (sepLen) {\n      memory.copy(\n        changetype<usize>(result) + (<usize>offset << 1),\n        changetype<usize>(separator),\n        <usize>sepLen << 1\n      );\n      offset += sepLen;\n    }\n  }\n  value = load<string>(dataStart + (<usize>lastIndex << alignof<string>()));\n  if (changetype<usize>(value) != 0) {\n    memory.copy(\n      changetype<usize>(result) + (<usize>offset << 1),\n      changetype<usize>(value),\n      <usize>value.length << 1\n    );\n  }\n  return result;\n}\n\nexport function joinReferenceArray<T>(dataStart: usize, length: i32, separator: string): string {\n  let lastIndex = length - 1;\n  if (lastIndex < 0) return \"\";\n  let value: T;\n  if (!lastIndex) {\n    value = load<T>(dataStart);\n    // @ts-ignore: type\n    return value != null ? value.toString() : \"\";\n  }\n  let result = \"\";\n  let sepLen = separator.length;\n  for (let i = 0; i < lastIndex; ++i) {\n    value = load<T>(dataStart + (<usize>i << alignof<T>()));\n    // @ts-ignore: type\n    if (value != null) result += value.toString();\n    if (sepLen) result += separator;\n  }\n  value = load<T>(dataStart + (<usize>lastIndex << alignof<T>()));\n  // @ts-ignore: type\n  if (value != null) result += value.toString();\n  return result;\n}\n\n// @ts-ignore: decorator\n@inline\nfunction scientific(significand: u64, exp: i32): f64 {\n  if (!significand || exp < -342) return 0;\n  if (exp > 308) return Infinity;\n  // Try use fast path\n  // Use fast path for string-to-double conversion if possible\n  // see http://www.exploringbinary.com/fast-path-decimal-to-floating-point-conversion\n  // Simple integer\n  let significandf = <f64>significand;\n  if (!exp) return significandf;\n  if (exp > 22 && exp <= 22 + 15) {\n    significandf *= pow10(exp - 22);\n    exp = 22;\n  }\n  if (significand <= 9007199254740991 && abs(exp) <= 22) {\n    if (exp > 0) return significandf * pow10(exp);\n    return significandf / pow10(-exp);\n  } else if (exp < 0) {\n    return scaledown(significand, exp);\n  } else {\n    return scaleup(significand, exp);\n  }\n}\n\n// Adopted from metallic lib:\n// https://github.com/jdh8/metallic/blob/master/src/stdlib/parse/scientific.h\n// @ts-ignore: decorator\n@inline\nfunction scaledown(significand: u64, exp: i32): f64 {\n  const denom: u64 = 6103515625; // 1e14 * 0x1p-14\n  const scale = reinterpret<f64>(0x3F06849B86A12B9B); // 1e-14 * 0x1p32\n\n  let shift = clz(significand);\n  significand <<= shift;\n  shift = exp - shift;\n\n  for (; exp <= -14; exp += 14) {\n    let q = significand / denom;\n    let r = significand % denom;\n    let s = clz(q);\n    significand = (q << s) + <u64>nearest(scale * <f64>(r << (s - 18)));\n    shift -= s;\n  }\n  let b = <u64>ipow32(5, -exp);\n  let q = significand / b;\n  let r = significand % b;\n  let s = clz(q);\n  significand = (q << s) + <u64>(reinterpret<f64>(reinterpret<u64>(<f64>r) + (s << 52)) / <f64>b);\n  shift -= s;\n\n  return NativeMath.scalbn(<f64>significand, <i32>shift);\n}\n\n// Adopted from metallic lib:\n// https://github.com/jdh8/metallic/blob/master/src/stdlib/parse/scientific.h\n// @ts-ignore: decorator\n@inline\nfunction scaleup(significand: u64, exp: i32): f64 {\n  const coeff: u32 = 1220703125; // 1e13 * 0x1p-13;\n  let shift = ctz(significand);\n  significand >>= shift;\n  shift += exp;\n\n  __fixmulShift = shift;\n  for (; exp >= 13; exp -= 13) {\n    significand = fixmul(significand, coeff);\n  }\n  significand = fixmul(significand, <u32>ipow32(5, exp));\n  shift = __fixmulShift;\n  return NativeMath.scalbn(<f64>significand, <i32>shift);\n}\n\n// Adopted from metallic lib:\n// https://github.com/jdh8/metallic/blob/master/src/stdlib/parse/scientific.h\n// @ts-ignore: decorator\n@inline\nfunction parseExp(ptr: usize, len: i32): i32 {\n  let sign = 1, magnitude = 0;\n  let code = <u32>load<u16>(ptr);\n  // check code is 'e' or 'E'\n  if ((code | 32) != CharCode.e) return 0;\n\n  if (!--len) return 0;\n  code = <u32>load<u16>(ptr += 2);\n  if (code == CharCode.MINUS) {\n    if (!--len) return 0;\n    code = <u32>load<u16>(ptr += 2);\n    sign = -1;\n  } else if (code == CharCode.PLUS) {\n    if (!--len) return 0;\n    code = <u32>load<u16>(ptr += 2);\n  }\n  // skip zeros\n  while (code == CharCode._0) {\n    if (!--len) return 0;\n    code = <u32>load<u16>(ptr += 2);\n  }\n  for (let digit: u32 = code - CharCode._0; len && digit < 10; digit = code - CharCode._0) {\n    if (magnitude >= 3200) return sign * 3200;\n    magnitude = 10 * magnitude + digit;\n    code = <u32>load<u16>(ptr += 2);\n    --len;\n  }\n  return sign * magnitude;\n}\n\n// @ts-ignore: decorator\n@lazy let __fixmulShift: u64 = 0;\n\n// Adopted from metallic lib:\n// https://github.com/jdh8/metallic/blob/master/src/stdlib/parse/scientific.h\n// @ts-ignore: decorator\n@inline\nfunction fixmul(a: u64, b: u32): u64 {\n  let low  = (a & 0xFFFFFFFF) * b;\n  let high = (a >> 32) * b + (low >> 32);\n  let overflow = <u32>(high >> 32);\n  let space = clz(overflow);\n  let revspace: u64 = 32 - space;\n  __fixmulShift += revspace;\n  return (high << space | (low & 0xFFFFFFFF) >> revspace) + (low << space >> 31 & 1);\n}\n\n// @ts-ignore: decorator\n@inline\nfunction pow10(n: i32): f64 {\n  // argument `n` should bounds in [0, 22] range\n  return load<f64>(POWERS10 + (n << alignof<f64>()));\n}\n","import { Math as JSMath } from \"./bindings/dom\";\nexport { JSMath };\n\nimport {\n  pow_lut, exp_lut, exp2_lut, log_lut, log2_lut,\n  powf_lut, expf_lut, exp2f_lut, logf_lut, log2f_lut\n} from \"./util/math\";\n\nimport {\n  abs as builtin_abs,\n  ceil as builtin_ceil,\n  clz as builtin_clz,\n  copysign as builtin_copysign,\n  floor as builtin_floor,\n  max as builtin_max,\n  min as builtin_min,\n  sqrt as builtin_sqrt,\n  trunc as builtin_trunc\n} from \"./builtins\";\n\n// SUN COPYRIGHT NOTICE\n//\n// Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.\n// Developed at SunPro, a Sun Microsystems, Inc. business.\n// Permission to use, copy, modify, and distribute this software\n// is freely granted, provided that this notice is preserved.\n//\n// Applies to all functions marked with a comment referring here.\n\n/** @internal */\n// @ts-ignore: decorator\n@lazy let rempio2_y0: f64, rempio2_y1: f64, res128_hi: u64;\n\n/** @internal */\n// @ts-ignore: decorator\n@lazy @inline const PIO2_TABLE = memory.data<u64>([\n  0x00000000A2F9836E, 0x4E441529FC2757D1, 0xF534DDC0DB629599, 0x3C439041FE5163AB,\n  0xDEBBC561B7246E3A, 0x424DD2E006492EEA, 0x09D1921CFE1DEB1C, 0xB129A73EE88235F5,\n  0x2EBB4484E99C7026, 0xB45F7E413991D639, 0x835339F49C845F8B, 0xBDF9283B1FF897FF,\n  0xDE05980FEF2F118B, 0x5A0A6D1F6D367ECF, 0x27CB09B74F463F66, 0x9E5FEA2D7527BAC7,\n  0xEBE5F17B3D0739F7, 0x8A5292EA6BFB5FB1, 0x1F8D5D0856033046, 0xFC7B6BABF0CFBC20,\n  0x9AF4361DA9E39161, 0x5EE61B086599855F, 0x14A068408DFFD880, 0x4D73273106061557\n]);\n\n/** @internal */\nfunction R(z: f64): f64 { // Rational approximation of (asin(x)-x)/x^3\n  const                   // see: musl/src/math/asin.c and SUN COPYRIGHT NOTICE above\n    pS0 = reinterpret<f64>(0x3FC5555555555555), //  1.66666666666666657415e-01\n    pS1 = reinterpret<f64>(0xBFD4D61203EB6F7D), // -3.25565818622400915405e-01\n    pS2 = reinterpret<f64>(0x3FC9C1550E884455), //  2.01212532134862925881e-01\n    pS3 = reinterpret<f64>(0xBFA48228B5688F3B), // -4.00555345006794114027e-02\n    pS4 = reinterpret<f64>(0x3F49EFE07501B288), //  7.91534994289814532176e-04\n    pS5 = reinterpret<f64>(0x3F023DE10DFDF709), //  3.47933107596021167570e-05\n    qS1 = reinterpret<f64>(0xC0033A271C8A2D4B), // -2.40339491173441421878e+00\n    qS2 = reinterpret<f64>(0x40002AE59C598AC8), //  2.02094576023350569471e+00\n    qS3 = reinterpret<f64>(0xBFE6066C1B8D0159), // -6.88283971605453293030e-01\n    qS4 = reinterpret<f64>(0x3FB3B8C5B12E9282); //  7.70381505559019352791e-02\n\n  let p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5)))));\n  let q = 1.0 + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4)));\n  return p / q;\n}\n\n/** @internal */\n// @ts-ignore: decorator\n@inline\nfunction expo2(x: f64, sign: f64): f64 { // exp(x)/2 for x >= log(DBL_MAX)\n  const                       // see: musl/src/math/__expo2.c\n    k    = <u32>2043,\n    kln2 = reinterpret<f64>(0x40962066151ADD8B); // 0x1.62066151add8bp+10\n  let scale = reinterpret<f64>(<u64>((<u32>0x3FF + k / 2) << 20) << 32);\n  // in directed rounding correct sign before rounding or overflow is important\n  return NativeMath.exp(x - kln2) * (sign * scale) * scale;\n}\n\n/** @internal */\n/* Helper function to eventually get bits of π/2 * |x|\n *\n * y = π/4 * (frac << clz(frac) >> 11)\n * return clz(frac)\n *\n * Right shift 11 bits to make upper half fit in `double`\n */\n// @ts-ignore: decorator\n@inline\nfunction pio2_right(q0: u64, q1: u64): u64 { // see: jdh8/metallic/blob/master/src/math/double/rem_pio2.c\n  // Bits of π/4\n  const p0: u64 = 0xC4C6628B80DC1CD1;\n  const p1: u64 = 0xC90FDAA22168C234;\n\n  const Ox1p_64 = reinterpret<f64>(0x3BF0000000000000); // 0x1p-64\n  const Ox1p_75 = reinterpret<f64>(0x3B40000000000000); // 0x1p-75\n\n  let shift = clz(q1);\n\n  q1 = q1 << shift | q0 >> (64 - shift);\n  q0 <<= shift;\n\n  let lo = umuldi(p1, q1);\n  let hi = res128_hi;\n\n  let ahi = hi >> 11;\n  let alo = lo >> 11 | hi << 53;\n  let blo = <u64>(Ox1p_75 * <f64>p0 * <f64>q1 + Ox1p_75 * <f64>p1 * <f64>q0);\n\n  rempio2_y0 = <f64>(ahi + u64(lo < blo));\n  rempio2_y1 = Ox1p_64 * <f64>(alo + blo);\n\n  return shift;\n}\n\n/** @internal */\n// @ts-ignore: decorator\n@inline\nfunction umuldi(u: u64, v: u64): u64 {\n  let u1: u64 , v1: u64, w0: u64, w1: u64, t: u64;\n\n  u1 = u & 0xFFFFFFFF;\n  v1 = v & 0xFFFFFFFF;\n\n  u >>= 32;\n  v >>= 32;\n\n  t  = u1 * v1;\n  w0 = t & 0xFFFFFFFF;\n  t  = u * v1 + (t >> 32);\n  w1 = t >> 32;\n  t  = u1 * v + (t & 0xFFFFFFFF);\n\n  res128_hi = u * v + w1 + (t >> 32);\n  return (t << 32) + w0;\n}\n\n/** @internal */\nfunction pio2_large_quot(x: f64, u: i64): i32 { // see: jdh8/metallic/blob/master/src/math/double/rem_pio2.c\n  let magnitude = u & 0x7FFFFFFFFFFFFFFF;\n  let offset = (magnitude >> 52) - 1045;\n  let shift  = offset & 63;\n  let tblPtr = PIO2_TABLE + (<i32>(offset >> 6) << 3);\n  let s0: u64, s1: u64, s2: u64;\n\n  let b0 = load<u64>(tblPtr, 0 << 3);\n  let b1 = load<u64>(tblPtr, 1 << 3);\n  let b2 = load<u64>(tblPtr, 2 << 3);\n\n  // Get 192 bits of 0x1p-31 / π with `offset` bits skipped\n  if (shift) {\n    let rshift = 64 - shift;\n    let b3 = load<u64>(tblPtr, 3 << 3);\n    s0 = b1 >> rshift | b0 << shift;\n    s1 = b2 >> rshift | b1 << shift;\n    s2 = b3 >> rshift | b2 << shift;\n  } else {\n    s0 = b0;\n    s1 = b1;\n    s2 = b2;\n  }\n\n  let significand = (u & 0x000FFFFFFFFFFFFF) | 0x0010000000000000;\n\n  // First 128 bits of fractional part of x/(2π)\n  let blo = umuldi(s1, significand);\n  let bhi = res128_hi;\n\n  let ahi = s0 * significand;\n  let clo = (s2 >> 32) * (significand >> 32);\n  let plo = blo + clo;\n  let phi = ahi + bhi + u64(plo < clo);\n\n  // r: u128 = p << 2\n  let rlo = plo << 2;\n  let rhi = phi << 2 | plo >> 62;\n\n  // s: i128 = r >> 127\n  let slo = <i64>rhi >> 63;\n  let shi = slo >> 1;\n  let q   = (<i64>phi >> 62) - slo;\n\n  let shifter = 0x3CB0000000000000 - (pio2_right(rlo ^ slo, rhi ^ shi) << 52);\n  let signbit = (u ^ rhi) & 0x8000000000000000;\n  let coeff   = reinterpret<f64>(shifter | signbit);\n\n  rempio2_y0 *= coeff;\n  rempio2_y1 *= coeff;\n\n  return <i32>q;\n}\n\n/** @internal */\n// @ts-ignore: decorator\n@inline\nfunction rempio2(x: f64, u: u64, sign: i32): i32 {\n  const\n    pio2_1  = reinterpret<f64>(0x3FF921FB54400000), // 1.57079632673412561417e+00\n    pio2_1t = reinterpret<f64>(0x3DD0B4611A626331), // 6.07710050650619224932e-11\n    pio2_2  = reinterpret<f64>(0x3DD0B4611A600000), // 6.07710050630396597660e-11\n    pio2_2t = reinterpret<f64>(0x3BA3198A2E037073), // 2.02226624879595063154e-21\n    pio2_3  = reinterpret<f64>(0x3BA3198A2E000000), // 2.02226624871116645580e-21\n    pio2_3t = reinterpret<f64>(0x397B839A252049C1), // 8.47842766036889956997e-32\n    invpio2 = reinterpret<f64>(0x3FE45F306DC9C883); // 0.63661977236758134308\n\n  let ix = <u32>(u >> 32) & 0x7FFFFFFF;\n\n  if (ASC_SHRINK_LEVEL < 1) {\n    if (ix < 0x4002D97C) { // |x| < 3pi/4, special case with n=+-1\n      let q = 1, z: f64, y0: f64, y1: f64;\n      if (!sign) {\n        z = x - pio2_1;\n        if (ix != 0x3FF921FB) { // 33+53 bit pi is good enough\n          y0 = z - pio2_1t;\n          y1 = (z - y0) - pio2_1t;\n        } else { // near pi/2, use 33+33+53 bit pi\n          z -= pio2_2;\n          y0 = z - pio2_2t;\n          y1 = (z - y0) - pio2_2t;\n        }\n      } else { // negative x\n        z = x + pio2_1;\n        if (ix != 0x3FF921FB) { // 33+53 bit pi is good enough\n          y0 = z + pio2_1t;\n          y1 = (z - y0) + pio2_1t;\n        } else { // near pi/2, use 33+33+53 bit pi\n          z += pio2_2;\n          y0 = z + pio2_2t;\n          y1 = (z - y0) + pio2_2t;\n        }\n        q = -1;\n      }\n      rempio2_y0 = y0;\n      rempio2_y1 = y1;\n      return q;\n    }\n  }\n\n  if (ix < 0x413921FB) { // |x| ~< 2^20*pi/2 (1647099)\n    // Use precise Cody Waite scheme\n    let q  = nearest(x * invpio2);\n    let r  = x - q * pio2_1;\n    let w  = q * pio2_1t; // 1st round good to 85 bit\n    let j  = ix >> 20;\n    let y0 = r - w;\n    let hi = <u32>(reinterpret<u64>(y0) >> 32);\n    let i  = j - ((hi >> 20) & 0x7FF);\n\n    if (i > 16) { // 2nd iteration needed, good to 118\n      let t = r;\n      w  = q * pio2_2;\n      r  = t - w;\n      w  = q * pio2_2t - ((t - r) - w);\n      y0 = r - w;\n      hi = <u32>(reinterpret<u64>(y0) >> 32);\n      i = j - ((hi >> 20) & 0x7FF);\n      if (i > 49) { // 3rd iteration need, 151 bits acc\n        let t = r;\n        w  = q * pio2_3;\n        r  = t - w;\n        w  = q * pio2_3t - ((t - r) - w);\n        y0 = r - w;\n      }\n    }\n    let y1 = (r - y0) - w;\n    rempio2_y0 = y0;\n    rempio2_y1 = y1;\n    return <i32>q;\n  }\n  let q = pio2_large_quot(x, u);\n  return select(-q, q, sign);\n}\n\n/** @internal */\n// @ts-ignore: decorator\n@inline\nfunction sin_kern(x: f64, y: f64, iy: i32): f64 { // see: musl/tree/src/math/__sin.c\n  const\n    S1 = reinterpret<f64>(0xBFC5555555555549), // -1.66666666666666324348e-01\n    S2 = reinterpret<f64>(0x3F8111111110F8A6), //  8.33333333332248946124e-03\n    S3 = reinterpret<f64>(0xBF2A01A019C161D5), // -1.98412698298579493134e-04\n    S4 = reinterpret<f64>(0x3EC71DE357B1FE7D), //  2.75573137070700676789e-06\n    S5 = reinterpret<f64>(0xBE5AE5E68A2B9CEB), // -2.50507602534068634195e-08\n    S6 = reinterpret<f64>(0x3DE5D93A5ACFD57C); //  1.58969099521155010221e-10\n\n  let z = x * x;\n  let w = z * z;\n  let r = S2 + z * (S3 + z * S4) + z * w * (S5 + z * S6);\n  let v = z * x;\n  if (!iy) {\n    return x + v * (S1 + z * r);\n  } else {\n    return x - ((z * (0.5 * y - v * r) - y) - v * S1);\n  }\n}\n\n/** @internal */\n// @ts-ignore: decorator\n@inline\nfunction cos_kern(x: f64, y: f64): f64 { // see: musl/tree/src/math/__cos.c\n  const\n    C1 = reinterpret<f64>(0x3FA555555555554C), //  4.16666666666666019037e-02\n    C2 = reinterpret<f64>(0xBF56C16C16C15177), // -1.38888888888741095749e-03\n    C3 = reinterpret<f64>(0x3EFA01A019CB1590), //  2.48015872894767294178e-05\n    C4 = reinterpret<f64>(0xBE927E4F809C52AD), // -2.75573143513906633035e-07\n    C5 = reinterpret<f64>(0x3E21EE9EBDB4B1C4), //  2.08757232129817482790e-09\n    C6 = reinterpret<f64>(0xBDA8FAE9BE8838D4); // -1.13596475577881948265e-11\n\n  let z = x * x;\n  let w = z * z;\n  let r = z * (C1 + z * (C2 + z * C3)) + w * w * (C4 + z * (C5 + z * C6));\n  let hz = 0.5 * z;\n  w = 1.0 - hz;\n  return w + (((1.0 - w) - hz) + (z * r - x * y));\n}\n\n/** @internal */\nfunction tan_kern(x: f64, y: f64, iy: i32): f64 { // see: src/lib/msun/src/k_tan.c\n  const\n    T0  = reinterpret<f64>(0x3FD5555555555563), //  3.33333333333334091986e-01\n    T1  = reinterpret<f64>(0x3FC111111110FE7A), //  1.33333333333201242699e-01\n    T2  = reinterpret<f64>(0x3FABA1BA1BB341FE), //  5.39682539762260521377e-02\n    T3  = reinterpret<f64>(0x3F9664F48406D637), //  2.18694882948595424599e-02\n    T4  = reinterpret<f64>(0x3F8226E3E96E8493), //  8.86323982359930005737e-03\n    T5  = reinterpret<f64>(0x3F6D6D22C9560328), //  3.59207910759131235356e-03\n    T6  = reinterpret<f64>(0x3F57DBC8FEE08315), //  1.45620945432529025516e-03\n    T7  = reinterpret<f64>(0x3F4344D8F2F26501), //  5.88041240820264096874e-04\n    T8  = reinterpret<f64>(0x3F3026F71A8D1068), //  2.46463134818469906812e-04\n    T9  = reinterpret<f64>(0x3F147E88A03792A6), //  7.81794442939557092300e-05\n    T10 = reinterpret<f64>(0x3F12B80F32F0A7E9), //  7.14072491382608190305e-05\n    T11 = reinterpret<f64>(0xBEF375CBDB605373), // -1.85586374855275456654e-05\n    T12 = reinterpret<f64>(0x3EFB2A7074BF7AD4); //  2.59073051863633712884e-05\n\n  const\n    one    = reinterpret<f64>(0x3FF0000000000000), // 1.00000000000000000000e+00\n    pio4   = reinterpret<f64>(0x3FE921FB54442D18), // 7.85398163397448278999e-01\n    pio4lo = reinterpret<f64>(0x3C81A62633145C07); // 3.06161699786838301793e-17\n\n  let z: f64, r: f64, v: f64, w: f64, s: f64;\n  let hx = <i32>(reinterpret<u64>(x) >> 32); // high word of x\n  let ix = hx & 0x7FFFFFFF; // high word of |x|\n  let big = ix >= 0x3FE59428;\n  if (big) { // |x| >= 0.6744\n    if (hx < 0) { x = -x, y = -y; }\n    z = pio4 - x;\n    w = pio4lo - y;\n    x = z + w;\n    y = 0.0;\n  }\n  z = x * x;\n  w = z * z;\n  r = T1 + w * (T3 + w * (T5 + w * (T7 + w * (T9 + w * T11))));\n  v = z * (T2 + w * (T4 + w * (T6 + w * (T8 + w * (T10 + w * T12)))));\n  s = z * x;\n  r = y + z * (s * (r + v) + y);\n  r += T0 * s;\n  w = x + r;\n  if (big) {\n    v = iy;\n    return (1 - ((hx >> 30) & 2)) * (v - 2.0 * (x - (w * w / (w + v) - r)));\n  }\n  if (iy == 1) return w;\n  let a: f64, t: f64;\n  z = w;\n  z = reinterpret<f64>(reinterpret<u64>(z) & 0xFFFFFFFF00000000);\n  v = r - (z - x);  // z + v = r + x\n  t = a = -one / w; // a = -1.0 / w\n  t = reinterpret<f64>(reinterpret<u64>(t) & 0xFFFFFFFF00000000);\n  s = one + t * z;\n  return t + a * (s + t * v);\n}\n\n/** @internal */\nfunction dtoi32(x: f64): i32 {\n  if (ASC_SHRINK_LEVEL > 0) {\n    const inv32 = 1.0 / 4294967296;\n    return <i32><i64>(x - 4294967296 * floor(x * inv32));\n  } else {\n    let result = 0;\n    let u = reinterpret<u64>(x);\n    let e = (u >> 52) & 0x7FF;\n    if (e <= 1023 + 30) {\n      result = <i32>x;\n    } else if (e <= 1023 + 30 + 53) {\n      let v = (u & ((<u64>1 << 52) - 1)) | (<u64>1 << 52);\n      v = v << e - 1023 - 52 + 32;\n      result = <i32>(v >> 32);\n      result = select<i32>(-result, result, <i64>u < 0);\n    }\n    return result;\n  }\n}\n\n// @ts-ignore: decorator\n@lazy let random_seeded = false;\n\n// @ts-ignore: decorator\n@lazy let random_state0_64: u64, random_state1_64: u64;\n\n// @ts-ignore: decorator\n@lazy let random_state0_32: u32, random_state1_32: u32;\n\nfunction murmurHash3(h: u64): u64 { // Force all bits of a hash block to avalanche\n  h ^= h >> 33;                     // see: https://github.com/aappleby/smhasher\n  h *= 0xFF51AFD7ED558CCD;\n  h ^= h >> 33;\n  h *= 0xC4CEB9FE1A85EC53;\n  h ^= h >> 33;\n  return h;\n}\n\nfunction splitMix32(h: u32): u32 {\n  h += 0x6D2B79F5;\n  h  = (h ^ (h >> 15)) * (h | 1);\n  h ^= h + (h ^ (h >> 7)) * (h | 61);\n  return h ^ (h >> 14);\n}\n\nexport namespace NativeMath {\n\n  // @ts-ignore: decorator\n  @lazy\n  export const E       = reinterpret<f64>(0x4005BF0A8B145769); // 2.7182818284590452354\n\n  // @ts-ignore: decorator\n  @lazy\n  export const LN2     = reinterpret<f64>(0x3FE62E42FEFA39EF); // 0.69314718055994530942\n\n  // @ts-ignore: decorator\n  @lazy\n  export const LN10    = reinterpret<f64>(0x40026BB1BBB55516); // 2.30258509299404568402\n\n  // @ts-ignore: decorator\n  @lazy\n  export const LOG2E   = reinterpret<f64>(0x3FF71547652B82FE); // 1.4426950408889634074\n\n  // @ts-ignore: decorator\n  @lazy\n  export const LOG10E  = reinterpret<f64>(0x3FDBCB7B1526E50E); // 0.43429448190325182765\n\n  // @ts-ignore: decorator\n  @lazy\n  export const PI      = reinterpret<f64>(0x400921FB54442D18); // 3.14159265358979323846\n\n  // @ts-ignore: decorator\n  @lazy\n  export const SQRT1_2 = reinterpret<f64>(0x3FE6A09E667F3BCD); // 0.70710678118654752440\n\n  // @ts-ignore: decorator\n  @lazy\n  export const SQRT2   = reinterpret<f64>(0x3FF6A09E667F3BCD); // 1.41421356237309504880\n\n  // @ts-ignore: decorator\n  @lazy\n  export let sincos_sin: f64 = 0;\n\n  // @ts-ignore: decorator\n  @lazy\n  export let sincos_cos: f64 = 0;\n\n  // @ts-ignore: decorator\n  @inline export function abs(x: f64): f64 {\n    return builtin_abs<f64>(x);\n  }\n\n  export function acos(x: f64): f64 { // see: musl/src/math/acos.c and SUN COPYRIGHT NOTICE above\n    const\n      pio2_hi   = reinterpret<f64>(0x3FF921FB54442D18), // 1.57079632679489655800e+00\n      pio2_lo   = reinterpret<f64>(0x3C91A62633145C07), // 6.12323399573676603587e-17\n      Ox1p_120f = reinterpret<f32>(0x03800000);\n\n    let hx = <u32>(reinterpret<u64>(x) >> 32);\n    let ix = hx & 0x7FFFFFFF;\n    if (ix >= 0x3FF00000) {\n      let lx = <u32>reinterpret<u64>(x);\n      if ((ix - 0x3FF00000 | lx) == 0) {\n        if (<i32>hx < 0) return 2 * pio2_hi + Ox1p_120f;\n        return 0;\n      }\n      return 0 / (x - x);\n    }\n    if (ix < 0x3FE00000) {\n      if (ix <= 0x3C600000) return pio2_hi + Ox1p_120f;\n      return pio2_hi - (x - (pio2_lo - x * R(x * x)));\n    }\n    let s: f64, w: f64, z: f64;\n    if (<i32>hx < 0) {\n      // z = (1.0 + x) * 0.5;\n      z = 0.5 + x * 0.5;\n      s = builtin_sqrt<f64>(z);\n      w = R(z) * s - pio2_lo;\n      return 2 * (pio2_hi - (s + w));\n    }\n    // z = (1.0 - x) * 0.5;\n    z = 0.5 - x * 0.5;\n    s = builtin_sqrt<f64>(z);\n    let df = reinterpret<f64>(reinterpret<u64>(s) & 0xFFFFFFFF00000000);\n    let c = (z - df * df) / (s + df);\n    w = R(z) * s + c;\n    return 2 * (df + w);\n  }\n\n  export function acosh(x: f64): f64 { // see: musl/src/math/acosh.c\n    const s = reinterpret<f64>(0x3FE62E42FEFA39EF);\n    let u = reinterpret<u64>(x);\n    // Prevent propagation for all input values less than 1.0.\n    // Note musl lib didn't fix this yet.\n    if (<i64>u < 0x3FF0000000000000) return (x - x) / 0.0;\n    let e = u >> 52 & 0x7FF;\n    if (e < 0x3FF + 1) return log1p(x - 1 + builtin_sqrt<f64>((x - 1) * (x - 1) + 2 * (x - 1)));\n    if (e < 0x3FF + 26) return log(2 * x - 1 / (x + builtin_sqrt<f64>(x * x - 1)));\n    return log(x) + s;\n  }\n\n  export function asin(x: f64): f64 { // see: musl/src/math/asin.c and SUN COPYRIGHT NOTICE above\n    const\n      pio2_hi   = reinterpret<f64>(0x3FF921FB54442D18), // 1.57079632679489655800e+00\n      pio2_lo   = reinterpret<f64>(0x3C91A62633145C07), // 6.12323399573676603587e-17\n      Ox1p_120f = reinterpret<f32>(0x03800000);\n\n    let hx = <u32>(reinterpret<u64>(x) >> 32);\n    let ix = hx & 0x7FFFFFFF;\n    if (ix >= 0x3FF00000) {\n      let lx = <u32>reinterpret<u64>(x);\n      if ((ix - 0x3FF00000 | lx) == 0) return x * pio2_hi + Ox1p_120f;\n      return 0 / (x - x);\n    }\n    if (ix < 0x3FE00000) {\n      if (ix < 0x3E500000 && ix >= 0x00100000) return x;\n      return x + x * R(x * x);\n    }\n    // let z = (1.0 - builtin_abs<f64>(x)) * 0.5;\n    let z = 0.5 - builtin_abs<f64>(x) * 0.5;\n    let s = builtin_sqrt<f64>(z);\n    let r = R(z);\n    if (ix >= 0x3FEF3333) x = pio2_hi - (2 * (s + s * r) - pio2_lo);\n    else {\n      let f = reinterpret<f64>(reinterpret<u64>(s) & 0xFFFFFFFF00000000);\n      let c = (z - f * f) / (s + f);\n      x = 0.5 * pio2_hi - (2 * s * r - (pio2_lo - 2 * c) - (0.5 * pio2_hi - 2 * f));\n    }\n    return select(-x, x, <i32>hx < 0);\n  }\n\n  export function asinh(x: f64): f64 { // see: musl/src/math/asinh.c\n    const c = reinterpret<f64>(0x3FE62E42FEFA39EF); // 0.693147180559945309417232121458176568\n    let u = reinterpret<u64>(x);\n    let e = u >> 52 & 0x7FF;\n    let y = reinterpret<f64>(u & 0x7FFFFFFFFFFFFFFF);\n    if (e >= 0x3FF + 26) y = log(y) + c;\n    else if (e >= 0x3FF + 1)  y =   log(2 * y + 1 / (builtin_sqrt<f64>(y * y + 1) + y));\n    else if (e >= 0x3FF - 26) y = log1p(y + y * y / (builtin_sqrt<f64>(y * y + 1) + 1));\n    return builtin_copysign(y, x);\n  }\n\n  export function atan(x: f64): f64 { // see musl/src/math/atan.c and SUN COPYRIGHT NOTICE above\n    const\n      atanhi0   = reinterpret<f64>(0x3FDDAC670561BB4F), //  4.63647609000806093515e-01\n      atanhi1   = reinterpret<f64>(0x3FE921FB54442D18), //  7.85398163397448278999e-01\n      atanhi2   = reinterpret<f64>(0x3FEF730BD281F69B), //  9.82793723247329054082e-01\n      atanhi3   = reinterpret<f64>(0x3FF921FB54442D18), //  1.57079632679489655800e+00\n      atanlo0   = reinterpret<f64>(0x3C7A2B7F222F65E2), //  2.26987774529616870924e-17\n      atanlo1   = reinterpret<f64>(0x3C81A62633145C07), //  3.06161699786838301793e-17\n      atanlo2   = reinterpret<f64>(0x3C7007887AF0CBBD), //  1.39033110312309984516e-17\n      atanlo3   = reinterpret<f64>(0x3C91A62633145C07), //  6.12323399573676603587e-17\n      aT0       = reinterpret<f64>(0x3FD555555555550D), //  3.33333333333329318027e-01\n      aT1       = reinterpret<f64>(0xBFC999999998EBC4), // -1.99999999998764832476e-01\n      aT2       = reinterpret<f64>(0x3FC24924920083FF), //  1.42857142725034663711e-01\n      aT3       = reinterpret<f64>(0xBFBC71C6FE231671), // -1.11111104054623557880e-01,\n      aT4       = reinterpret<f64>(0x3FB745CDC54C206E), //  9.09088713343650656196e-02\n      aT5       = reinterpret<f64>(0xBFB3B0F2AF749A6D), // -7.69187620504482999495e-02\n      aT6       = reinterpret<f64>(0x3FB10D66A0D03D51), //  6.66107313738753120669e-02\n      aT7       = reinterpret<f64>(0xBFADDE2D52DEFD9A), // -5.83357013379057348645e-02\n      aT8       = reinterpret<f64>(0x3FA97B4B24760DEB), //  4.97687799461593236017e-02\n      aT9       = reinterpret<f64>(0xBFA2B4442C6A6C2F), // -3.65315727442169155270e-02\n      aT10      = reinterpret<f64>(0x3F90AD3AE322DA11), //  1.62858201153657823623e-02\n      Ox1p_120f = reinterpret<f32>(0x03800000);\n\n    let ix = <u32>(reinterpret<u64>(x) >> 32);\n    let sx = x;\n    ix &= 0x7FFFFFFF;\n    let z: f64;\n    if (ix >= 0x44100000) {\n      if (isNaN(x)) return x;\n      z = atanhi3 + Ox1p_120f;\n      return builtin_copysign<f64>(z, sx);\n    }\n    let id: i32;\n    if (ix < 0x3FDC0000) {\n      if (ix < 0x3E400000) return x;\n      id = -1;\n    } else {\n      x = builtin_abs<f64>(x);\n      if (ix < 0x3FF30000) {\n        if (ix < 0x3FE60000) {\n          id = 0;\n          x = (2.0 * x - 1.0) / (2.0 + x);\n        } else {\n          id = 1;\n          x = (x - 1.0) / (x + 1.0);\n        }\n      } else {\n        if (ix < 0x40038000) {\n          id = 2;\n          x = (x - 1.5) / (1.0 + 1.5 * x);\n        } else {\n          id = 3;\n          x = -1.0 / x;\n        }\n      }\n    }\n    z = x * x;\n    let w = z * z;\n    let s1 = z * (aT0 + w * (aT2 + w * (aT4 + w * (aT6 + w * (aT8 + w * aT10)))));\n    let s2 = w * (aT1 + w * (aT3 + w * (aT5 + w * (aT7 + w * aT9))));\n    let s3 = x * (s1 + s2);\n    if (id < 0) return x - s3;\n    switch (id) {\n      case 0: { z = atanhi0 - ((s3 - atanlo0) - x); break; }\n      case 1: { z = atanhi1 - ((s3 - atanlo1) - x); break; }\n      case 2: { z = atanhi2 - ((s3 - atanlo2) - x); break; }\n      case 3: { z = atanhi3 - ((s3 - atanlo3) - x); break; }\n      default: unreachable();\n    }\n    return builtin_copysign<f64>(z, sx);\n  }\n\n  export function atanh(x: f64): f64 { // see: musl/src/math/atanh.c\n    let u = reinterpret<u64>(x);\n    let e = u >> 52 & 0x7FF;\n    let y = builtin_abs(x);\n    if (e < 0x3FF - 1) {\n      if (e >= 0x3FF - 32) y = 0.5 * log1p(2 * y + 2 * y * y / (1 - y));\n    } else {\n      y = 0.5 * log1p(2 * (y / (1 - y)));\n    }\n    return builtin_copysign<f64>(y, x);\n  }\n\n  export function atan2(y: f64, x: f64): f64 { // see: musl/src/math/atan2.c and SUN COPYRIGHT NOTICE above\n    const pi_lo = reinterpret<f64>(0x3CA1A62633145C07); // 1.2246467991473531772E-16\n    if (isNaN(x) || isNaN(y)) return x + y;\n    let u = reinterpret<u64>(x);\n    let ix = <u32>(u >> 32);\n    let lx = <u32>u;\n    u = reinterpret<u64>(y);\n    let iy = <u32>(u >> 32);\n    let ly = <u32>u;\n    if ((ix - 0x3FF00000 | lx) == 0) return atan(y);\n    let m = ((iy >> 31) & 1) | ((ix >> 30) & 2);\n    ix = ix & 0x7FFFFFFF;\n    iy = iy & 0x7FFFFFFF;\n    if ((iy | ly) == 0) {\n      switch (m) {\n        case 0:\n        case 1: return  y;\n        case 2: return  PI;\n        case 3: return -PI;\n      }\n    }\n    if ((ix | lx) == 0) return m & 1 ? -PI / 2 : PI / 2;\n    if (ix == 0x7FF00000) {\n      if (iy == 0x7FF00000) {\n        let t = m & 2 ? 3 * PI / 4 : PI / 4;\n        return m & 1 ? -t : t;\n      } else {\n        let t = m & 2 ? PI : 0;\n        return m & 1 ? -t : t;\n      }\n    }\n    let z: f64;\n    if (ix + (64 << 20) < iy || iy == 0x7FF00000) return m & 1 ? -PI / 2 : PI / 2;\n    if ((m & 2) && iy + (64 << 20) < ix) z = 0;\n    else z = atan(builtin_abs<f64>(y / x));\n    switch (m) {\n      case 0: return  z;\n      case 1: return -z;\n      case 2: return PI - (z - pi_lo);\n      case 3: return (z - pi_lo) - PI;\n    }\n    unreachable();\n    return 0;\n  }\n\n  export function cbrt(x: f64): f64 { // see: musl/src/math/cbrt.c and SUN COPYRIGHT NOTICE above\n    const\n      B1     = <u32>715094163,\n      B2     = <u32>696219795,\n      P0     = reinterpret<f64>(0x3FFE03E60F61E692), //  1.87595182427177009643\n      P1     = reinterpret<f64>(0xBFFE28E092F02420), // -1.88497979543377169875\n      P2     = reinterpret<f64>(0x3FF9F1604A49D6C2), //  1.621429720105354466140\n      P3     = reinterpret<f64>(0xBFE844CBBEE751D9), // -0.758397934778766047437\n      P4     = reinterpret<f64>(0x3FC2B000D4E4EDD7), //  0.145996192886612446982\n      Ox1p54 = reinterpret<f64>(0x4350000000000000); //  0x1p54\n\n    let u = reinterpret<u64>(x);\n    let hx = <u32>(u >> 32) & 0x7FFFFFFF;\n    if (hx >= 0x7FF00000) return x + x;\n    if (hx < 0x00100000) {\n      u = reinterpret<u64>(x * Ox1p54);\n      hx = <u32>(u >> 32) & 0x7FFFFFFF;\n      if (hx == 0) return x;\n      hx = hx / 3 + B2;\n    } else {\n      hx = hx / 3 + B1;\n    }\n    u &= 1 << 63;\n    u |= <u64>hx << 32;\n    let t = reinterpret<f64>(u);\n    let r = (t * t) * (t / x);\n    t = t * ((P0 + r * (P1 + r * P2)) + ((r * r) * r) * (P3 + r * P4));\n    t = reinterpret<f64>((reinterpret<u64>(t) + 0x80000000) & 0xFFFFFFFFC0000000);\n    let s = t * t;\n    r = x / s;\n    r = (r - t) / (2 * t + r);\n    t = t + t * r;\n    return t;\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function ceil(x: f64): f64 {\n    return builtin_ceil<f64>(x);\n  }\n\n  export function clz32(x: f64): f64 {\n    if (!isFinite(x)) return 32;\n    /*\n     * Wasm (MVP) and JS have different approaches for double->int conversions.\n     *\n     * For emulate JS conversion behavior and avoid trapping from wasm we should modulate by MAX_INT\n     * our float-point arguments before actual convertion to integers.\n     */\n    return builtin_clz(dtoi32(x));\n  }\n\n  export function cos(x: f64): f64 { // see: musl/src/math/cos.c\n    let u  = reinterpret<u64>(x);\n    let ux = u32(u >> 32);\n    let sign = ux >> 31;\n\n    ux &= 0x7FFFFFFF;\n\n    // |x| ~< pi/4\n    if (ux <= 0x3FE921FB) {\n      if (ux < 0x3E46A09E) {  // |x| < 2**-27 * sqrt(2)\n        return 1.0;\n      }\n      return cos_kern(x, 0);\n    }\n\n    // sin(Inf or NaN) is NaN\n    if (ux >= 0x7FF00000) return x - x;\n\n    // argument reduction needed\n    let n  = rempio2(x, u, sign);\n    let y0 = rempio2_y0;\n    let y1 = rempio2_y1;\n\n    x = n & 1 ? sin_kern(y0, y1, 1) : cos_kern(y0, y1);\n    return (n + 1) & 2 ? -x : x;\n  }\n\n  export function cosh(x: f64): f64 { // see: musl/src/math/cosh.c\n    let u = reinterpret<u64>(x);\n    u &= 0x7FFFFFFFFFFFFFFF;\n    x = reinterpret<f64>(u);\n    let w = <u32>(u >> 32);\n    let t: f64;\n    if (w < 0x3FE62E42) {\n      if (w < 0x3FF00000 - (26 << 20)) return 1;\n      t = expm1(x);\n      // return 1 + t * t / (2 * (1 + t));\n      return 1 + t * t / (2 + 2 * t);\n    }\n    if (w < 0x40862E42) {\n      t = exp(x);\n      return 0.5 * (t + 1 / t);\n    }\n    t = expo2(x, 1);\n    return t;\n  }\n\n  export function exp(x: f64): f64 { // see: musl/src/math/exp.c and SUN COPYRIGHT NOTICE above\n    if (ASC_SHRINK_LEVEL < 1) {\n      return exp_lut(x);\n    } else {\n      const\n        ln2hi     = reinterpret<f64>(0x3FE62E42FEE00000), //  6.93147180369123816490e-01\n        ln2lo     = reinterpret<f64>(0x3DEA39EF35793C76), //  1.90821492927058770002e-10\n        invln2    = reinterpret<f64>(0x3FF71547652B82FE), //  1.44269504088896338700e+00\n        P1        = reinterpret<f64>(0x3FC555555555553E), //  1.66666666666666019037e-01\n        P2        = reinterpret<f64>(0xBF66C16C16BEBD93), // -2.77777777770155933842e-03\n        P3        = reinterpret<f64>(0x3F11566AAF25DE2C), //  6.61375632143793436117e-05\n        P4        = reinterpret<f64>(0xBEBBBD41C5D26BF1), // -1.65339022054652515390e-06\n        P5        = reinterpret<f64>(0x3E66376972BEA4D0), //  4.13813679705723846039e-08\n        overflow  = reinterpret<f64>(0x40862E42FEFA39EF), //  709.782712893383973096\n        underflow = reinterpret<f64>(0xC0874910D52D3051), // -745.13321910194110842\n        Ox1p1023  = reinterpret<f64>(0x7FE0000000000000); //  0x1p1023\n\n      let hx = u32(reinterpret<u64>(x) >> 32);\n      let sign = hx >> 31;\n      hx &= 0x7FFFFFFF;\n      if (hx >= 0x4086232B) {\n        if (isNaN(x)) return x;\n        if (x > overflow)  return x * Ox1p1023;\n        if (x < underflow) return 0;\n      }\n      let hi: f64, lo: f64 = 0;\n      let k = 0;\n      if (hx > 0x3FD62E42) {\n        if (hx >= 0x3FF0A2B2) {\n          k = i32(invln2 * x + builtin_copysign<f64>(0.5, x));\n        } else {\n          k = 1 - (sign << 1);\n        }\n        hi = x - k * ln2hi;\n        lo = k * ln2lo;\n        x = hi - lo;\n      } else if (hx > 0x3E300000) {\n        hi = x;\n      } else return 1.0 + x;\n      let xs = x * x;\n      // let c = x - xp2 * (P1 + xp2 * (P2 + xp2 * (P3 + xp2 * (P4 + xp2 * P5))));\n      let xq = xs * xs;\n      let c = x - (xs * P1 + xq * ((P2 + xs * P3) + xq * (P4 + xs * P5)));\n      let y = 1.0 + (x * c / (2 - c) - lo + hi);\n      return k == 0 ? y : scalbn(y, k);\n    }\n  }\n\n  export function exp2(x: f64): f64 {\n    return exp2_lut(x);\n  }\n\n  export function expm1(x: f64): f64 { // see: musl/src/math/expm1.c and SUN COPYRIGHT NOTICE above\n    const\n      o_threshold = reinterpret<f64>(0x40862E42FEFA39EF), //  7.09782712893383973096e+02\n      ln2_hi      = reinterpret<f64>(0x3FE62E42FEE00000), //  6.93147180369123816490e-01\n      ln2_lo      = reinterpret<f64>(0x3DEA39EF35793C76), //  1.90821492927058770002e-10\n      invln2      = reinterpret<f64>(0x3FF71547652B82FE), //  1.44269504088896338700e+00\n      Q1          = reinterpret<f64>(0xBFA11111111110F4), // -3.33333333333331316428e-02\n      Q2          = reinterpret<f64>(0x3F5A01A019FE5585), //  1.58730158725481460165e-03\n      Q3          = reinterpret<f64>(0xBF14CE199EAADBB7), // -7.93650757867487942473e-05\n      Q4          = reinterpret<f64>(0x3ED0CFCA86E65239), //  4.00821782732936239552e-06\n      Q5          = reinterpret<f64>(0xBE8AFDB76E09C32D), // -2.01099218183624371326e-07\n      Ox1p1023    = reinterpret<f64>(0x7FE0000000000000); //  0x1p1023\n\n    let u = reinterpret<u64>(x);\n    let hx = u32(u >> 32) & 0x7FFFFFFF;\n    let sign = u32(u >> 63);\n    let k = 0;\n    if (hx >= 0x4043687A) {\n      if (isNaN(x)) return x;\n      if (sign) return -1;\n      if (x > o_threshold) return x * Ox1p1023;\n    }\n    let c = 0.0, t: f64;\n    if (hx > 0x3FD62E42) {\n      k = select<i32>(\n        1 - (sign << 1),\n        i32(invln2 * x + builtin_copysign<f64>(0.5, x)),\n        hx < 0x3FF0A2B2\n      );\n      t = <f64>k;\n      let hi = x - t * ln2_hi;\n      let lo = t * ln2_lo;\n      x = hi - lo;\n      c = (hi - x) - lo;\n    } else if (hx < 0x3C900000) return x;\n    let hfx = 0.5 * x;\n    let hxs = x * hfx;\n    // let r1 = 1.0 + hxs * (Q1 + hxs * (Q2 + hxs * (Q3 + hxs * (Q4 + hxs * Q5))));\n    let hxq = hxs * hxs;\n    let r1 = (1.0 + hxs * Q1) + hxq * ((Q2 + hxs * Q3) + hxq * (Q4 + hxs * Q5));\n    t = 3.0 - r1 * hfx;\n    let e = hxs * ((r1 - t) / (6.0 - x * t));\n    if (k == 0) return x - (x * e - hxs);\n    e = x * (e - c) - c;\n    e -= hxs;\n    if (k == -1) return 0.5 * (x - e) - 0.5;\n    if (k == 1) {\n      if (x < -0.25) return -2.0 * (e - (x + 0.5));\n      return 1.0 + 2.0 * (x - e);\n    }\n    u = (0x3FF + k) << 52;\n    let twopk = reinterpret<f64>(u);\n    let y: f64;\n    if (k < 0 || k > 56) {\n      y = x - e + 1.0;\n      if (k == 1024) y = y * 2.0 * Ox1p1023;\n      else y = y * twopk;\n      return y - 1.0;\n    }\n    u = (0x3FF - k) << 52;\n    y = reinterpret<f64>(u);\n    if (k < 20) y = (1 - y) - e;\n    else y = 1 - (e + y);\n    return (x + y) * twopk;\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function floor(x: f64): f64 {\n    return builtin_floor<f64>(x);\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function fround(x: f64): f64 {\n    return <f32>x;\n  }\n\n  export function hypot(x: f64, y: f64): f64 { // see: musl/src/math/hypot.c\n    const\n      SPLIT    = reinterpret<f64>(0x41A0000000000000) + 1, // 0x1p27 + 1\n      Ox1p700  = reinterpret<f64>(0x6BB0000000000000),\n      Ox1p_700 = reinterpret<f64>(0x1430000000000000);\n\n    let ux = reinterpret<u64>(x);\n    let uy = reinterpret<u64>(y);\n    ux &= 0x7FFFFFFFFFFFFFFF;\n    uy &= 0x7FFFFFFFFFFFFFFF;\n    if (ux < uy) {\n      let ut = ux;\n      ux = uy;\n      uy = ut;\n    }\n    let ex = i32(ux >> 52);\n    let ey = i32(uy >> 52);\n    y = reinterpret<f64>(uy);\n    if (ey == 0x7FF) return y;\n    x = reinterpret<f64>(ux);\n    if (ex == 0x7FF || uy == 0) return x;\n    if (ex - ey > 64) return x + y;\n    let z = 1.0;\n    if (ex > 0x3FF + 510) {\n      z  = Ox1p700;\n      x *= Ox1p_700;\n      y *= Ox1p_700;\n    } else if (ey < 0x3FF - 450) {\n      z  = Ox1p_700;\n      x *= Ox1p700;\n      y *= Ox1p700;\n    }\n    let c = x * SPLIT;\n    let h = x - c + c;\n    let l = x - h;\n    let hx = x * x;\n    let lx = h * h - hx + (2 * h + l) * l;\n    c = y * SPLIT;\n    h = y - c + c;\n    l = y - h;\n    let hy = y * y;\n    let ly = h * h - hy + (2 * h + l) * l;\n    return z * builtin_sqrt(ly + lx + hy + hx);\n  }\n\n  export function imul(x: f64, y: f64): f64 {\n    /*\n     * Wasm (MVP) and JS have different approaches for double->int conversions.\n     *\n     * For emulate JS conversion behavior and avoid trapping from wasm we should modulate by MAX_INT\n     * our float-point arguments before actual convertion to integers.\n     */\n    if (!isFinite(x + y)) return 0;\n    return dtoi32(x) * dtoi32(y);\n  }\n\n  export function log(x: f64): f64 { // see: musl/src/math/log.c and SUN COPYRIGHT NOTICE above\n    if (ASC_SHRINK_LEVEL < 1) {\n      return log_lut(x);\n    } else {\n      const\n        ln2_hi = reinterpret<f64>(0x3FE62E42FEE00000), // 6.93147180369123816490e-01\n        ln2_lo = reinterpret<f64>(0x3DEA39EF35793C76), // 1.90821492927058770002e-10\n        Lg1    = reinterpret<f64>(0x3FE5555555555593), // 6.666666666666735130e-01\n        Lg2    = reinterpret<f64>(0x3FD999999997FA04), // 3.999999999940941908e-01\n        Lg3    = reinterpret<f64>(0x3FD2492494229359), // 2.857142874366239149e-01\n        Lg4    = reinterpret<f64>(0x3FCC71C51D8E78AF), // 2.222219843214978396e-01\n        Lg5    = reinterpret<f64>(0x3FC7466496CB03DE), // 1.818357216161805012e-01\n        Lg6    = reinterpret<f64>(0x3FC39A09D078C69F), // 1.531383769920937332e-01\n        Lg7    = reinterpret<f64>(0x3FC2F112DF3E5244), // 1.479819860511658591e-01\n        Ox1p54 = reinterpret<f64>(0x4350000000000000); // 0x1p54\n\n      let u = reinterpret<u64>(x);\n      let hx = u32(u >> 32);\n      let k = 0;\n      let sign = hx >> 31;\n      if (sign || hx < 0x00100000) {\n        if (u << 1 == 0) return -1 / (x * x);\n        if (sign) return (x - x) / 0.0;\n        k -= 54;\n        x *= Ox1p54;\n        u = reinterpret<u64>(x);\n        hx = u32(u >> 32);\n      } else if (hx >= 0x7FF00000) {\n        return x;\n      } else if (hx == 0x3FF00000 && u << 32 == 0) {\n        return 0;\n      }\n      hx += 0x3FF00000 - 0x3FE6A09E;\n      k += (<i32>hx >> 20) - 0x3FF;\n      hx = (hx & 0x000FFFFF) + 0x3FE6A09E;\n      u = <u64>hx << 32 | (u & 0xFFFFFFFF);\n      x = reinterpret<f64>(u);\n      let f = x - 1.0;\n      let hfsq = 0.5 * f * f;\n      let s = f / (2.0 + f);\n      let z = s * s;\n      let w = z * z;\n      let t1 = w * (Lg2 + w * (Lg4 + w * Lg6));\n      let t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7)));\n      let r = t2 + t1;\n      let dk = <f64>k;\n      return s * (hfsq + r) + dk * ln2_lo - hfsq + f + dk * ln2_hi;\n    }\n  }\n\n  export function log10(x: f64): f64 { // see: musl/src/math/log10.c and SUN COPYRIGHT NOTICE above\n    const\n      ivln10hi  = reinterpret<f64>(0x3FDBCB7B15200000), // 4.34294481878168880939e-01\n      ivln10lo  = reinterpret<f64>(0x3DBB9438CA9AADD5), // 2.50829467116452752298e-11\n      log10_2hi = reinterpret<f64>(0x3FD34413509F6000), // 3.01029995663611771306e-01\n      log10_2lo = reinterpret<f64>(0x3D59FEF311F12B36), // 3.69423907715893078616e-13\n      Lg1       = reinterpret<f64>(0x3FE5555555555593), // 6.666666666666735130e-01\n      Lg2       = reinterpret<f64>(0x3FD999999997FA04), // 3.999999999940941908e-01\n      Lg3       = reinterpret<f64>(0x3FD2492494229359), // 2.857142874366239149e-01\n      Lg4       = reinterpret<f64>(0x3FCC71C51D8E78AF), // 2.222219843214978396e-01\n      Lg5       = reinterpret<f64>(0x3FC7466496CB03DE), // 1.818357216161805012e-01\n      Lg6       = reinterpret<f64>(0x3FC39A09D078C69F), // 1.531383769920937332e-01\n      Lg7       = reinterpret<f64>(0x3FC2F112DF3E5244), // 1.479819860511658591e-01\n      Ox1p54    = reinterpret<f64>(0x4350000000000000); // 0x1p54\n\n    let u = reinterpret<u64>(x);\n    let hx = u32(u >> 32);\n    let k = 0;\n    let sign = hx >> 31;\n    if (sign || hx < 0x00100000) {\n      if (u << 1 == 0) return -1 / (x * x);\n      if (sign) return (x - x) / 0.0;\n      k -= 54;\n      x *= Ox1p54;\n      u = reinterpret<u64>(x);\n      hx = u32(u >> 32);\n    } else if (hx >= 0x7FF00000) {\n      return x;\n    } else if (hx == 0x3FF00000 && u << 32 == 0) {\n      return 0;\n    }\n    hx += 0x3FF00000 - 0x3FE6A09E;\n    k += i32(hx >> 20) - 0x3FF;\n    hx = (hx & 0x000FFFFF) + 0x3FE6A09E;\n    u = <u64>hx << 32 | (u & 0xFFFFFFFF);\n    x = reinterpret<f64>(u);\n    let f = x - 1.0;\n    let hfsq = 0.5 * f * f;\n    let s = f / (2.0 + f);\n    let z = s * s;\n    let w = z * z;\n    let t1 = w * (Lg2 + w * (Lg4 + w * Lg6));\n    let t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7)));\n    let r = t2 + t1;\n    let hi = f - hfsq;\n    u = reinterpret<u64>(hi);\n    u &= 0xFFFFFFFF00000000;\n    hi = reinterpret<f64>(u);\n    let lo = f - hi - hfsq + s * (hfsq + r);\n    let val_hi = hi * ivln10hi;\n    let dk = <f64>k;\n    let y = dk * log10_2hi;\n    let val_lo = dk * log10_2lo + (lo + hi) * ivln10lo + lo * ivln10hi;\n    w = y + val_hi;\n    val_lo += (y - w) + val_hi;\n    return val_lo + w;\n  }\n\n  export function log1p(x: f64): f64 { // see: musl/src/math/log1p.c and SUN COPYRIGHT NOTICE above\n    const\n      ln2_hi = reinterpret<f64>(0x3FE62E42FEE00000), // 6.93147180369123816490e-01\n      ln2_lo = reinterpret<f64>(0x3DEA39EF35793C76), // 1.90821492927058770002e-10\n      Lg1    = reinterpret<f64>(0x3FE5555555555593), // 6.666666666666735130e-01\n      Lg2    = reinterpret<f64>(0x3FD999999997FA04), // 3.999999999940941908e-01\n      Lg3    = reinterpret<f64>(0x3FD2492494229359), // 2.857142874366239149e-01\n      Lg4    = reinterpret<f64>(0x3FCC71C51D8E78AF), // 2.222219843214978396e-01\n      Lg5    = reinterpret<f64>(0x3FC7466496CB03DE), // 1.818357216161805012e-01\n      Lg6    = reinterpret<f64>(0x3FC39A09D078C69F), // 1.531383769920937332e-01\n      Lg7    = reinterpret<f64>(0x3FC2F112DF3E5244); // 1.479819860511658591e-01\n\n    let u = reinterpret<u64>(x);\n    let hx = u32(u >> 32);\n    let k = 1;\n    let c = 0.0, f = 0.0;\n    if (hx < 0x3FDA827A || bool(hx >> 31)) {\n      if (hx >= 0xBFF00000) {\n        if (x == -1) return x / 0.0;\n        return (x - x) / 0.0;\n      }\n      if (hx << 1 < 0x3CA00000 << 1) return x;\n      if (hx <= 0xBFD2BEC4) {\n        k = 0;\n        c = 0;\n        f = x;\n      }\n    } else if (hx >= 0x7FF00000) return x;\n    if (k) {\n      u = reinterpret<u64>(1 + x);\n      let hu = u32(u >> 32);\n      hu += 0x3FF00000 - 0x3FE6A09E;\n      k = i32(hu >> 20) - 0x3FF;\n      if (k < 54) {\n        let uf = reinterpret<f64>(u);\n        c = k >= 2 ? 1 - (uf - x) : x - (uf - 1);\n        c /= uf;\n      } else c = 0;\n      hu = (hu & 0x000FFFFF) + 0x3FE6A09E;\n      u = <u64>hu << 32 | (u & 0xFFFFFFFF);\n      f = reinterpret<f64>(u) - 1;\n    }\n    let hfsq = 0.5 * f * f;\n    let s = f / (2.0 + f);\n    let z = s * s;\n    let w = z * z;\n    let t1 = w * (Lg2 + w * (Lg4 + w * Lg6));\n    let t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7)));\n    let r = t2 + t1;\n    let dk = <f64>k;\n    return s * (hfsq + r) + (dk * ln2_lo + c) - hfsq + f + dk * ln2_hi;\n  }\n\n  export function log2(x: f64): f64 { // see: musl/src/math/log2.c and SUN COPYRIGHT NOTICE above\n    if (ASC_SHRINK_LEVEL < 1) {\n      return log2_lut(x);\n    } else {\n      const\n        ivln2hi = reinterpret<f64>(0x3FF7154765200000), // 1.44269504072144627571e+00\n        ivln2lo = reinterpret<f64>(0x3DE705FC2EEFA200), // 1.67517131648865118353e-10\n        Lg1     = reinterpret<f64>(0x3FE5555555555593), // 6.666666666666735130e-01\n        Lg2     = reinterpret<f64>(0x3FD999999997FA04), // 3.999999999940941908e-01\n        Lg3     = reinterpret<f64>(0x3FD2492494229359), // 2.857142874366239149e-01\n        Lg4     = reinterpret<f64>(0x3FCC71C51D8E78AF), // 2.222219843214978396e-01\n        Lg5     = reinterpret<f64>(0x3FC7466496CB03DE), // 1.818357216161805012e-01\n        Lg6     = reinterpret<f64>(0x3FC39A09D078C69F), // 1.531383769920937332e-01\n        Lg7     = reinterpret<f64>(0x3FC2F112DF3E5244), // 1.479819860511658591e-01\n        Ox1p54  = reinterpret<f64>(0x4350000000000000); // 1p54\n\n      let u = reinterpret<u64>(x);\n      let hx = u32(u >> 32);\n      let k = 0;\n      let sign = hx >> 31;\n      if (sign || hx < 0x00100000) {\n        if (u << 1 == 0) return -1 / (x * x);\n        if (sign) return (x - x) / 0.0;\n        k -= 54;\n        x *= Ox1p54;\n        u = reinterpret<u64>(x);\n        hx = u32(u >> 32);\n      } else if (hx >= 0x7FF00000) {\n        return x;\n      } else if (hx == 0x3FF00000 && u << 32 == 0) {\n        return 0;\n      }\n      hx += 0x3FF00000 - 0x3FE6A09E;\n      k += i32(hx >> 20) - 0x3FF;\n      hx = (hx & 0x000FFFFF) + 0x3FE6A09E;\n      u = <u64>hx << 32 | (u & 0xFFFFFFFF);\n      x = reinterpret<f64>(u);\n      let f = x - 1.0;\n      let hfsq = 0.5 * f * f;\n      let s = f / (2.0 + f);\n      let z = s * s;\n      let w = z * z;\n      let t1 = w * (Lg2 + w * (Lg4 + w * Lg6));\n      let t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7)));\n      let r = t2 + t1;\n      let hi = f - hfsq;\n      u = reinterpret<u64>(hi);\n      u &= 0xFFFFFFFF00000000;\n      hi = reinterpret<f64>(u);\n      let lo = f - hi - hfsq + s * (hfsq + r);\n      let val_hi = hi * ivln2hi;\n      let val_lo = (lo + hi) * ivln2lo + lo * ivln2hi;\n      let y = <f64>k;\n      w = y + val_hi;\n      val_lo += (y - w) + val_hi;\n      val_hi = w;\n      return val_lo + val_hi;\n    }\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function max(value1: f64, value2: f64): f64 {\n    return builtin_max<f64>(value1, value2);\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function min(value1: f64, value2: f64): f64 {\n    return builtin_min<f64>(value1, value2);\n  }\n\n  export function pow(x: f64, y: f64): f64 { // see: musl/src/math/pow.c and SUN COPYRIGHT NOTICE above\n    // TODO: remove this fast pathes after introduced own mid-end IR with \"stdlib call simplify\" transforms\n    if (builtin_abs<f64>(y) <= 2) {\n      if (y == 2.0) return x * x;\n      if (y == 0.5) {\n        return select<f64>(\n          builtin_abs<f64>(builtin_sqrt<f64>(x)),\n          Infinity,\n          x != -Infinity\n        );\n      }\n      if (y == -1.0) return 1 / x;\n      if (y == 1.0) return x;\n      if (y == 0.0) return 1.0;\n    }\n    if (ASC_SHRINK_LEVEL < 1) {\n      return pow_lut(x, y);\n    } else {\n      const\n        dp_h1   = reinterpret<f64>(0x3FE2B80340000000), //  5.84962487220764160156e-01\n        dp_l1   = reinterpret<f64>(0x3E4CFDEB43CFD006), //  1.35003920212974897128e-08\n        two53   = reinterpret<f64>(0x4340000000000000), //  9007199254740992.0\n        huge    = reinterpret<f64>(0x7E37E43C8800759C), //  1e+300\n        tiny    = reinterpret<f64>(0x01A56E1FC2F8F359), //  1e-300\n        L1      = reinterpret<f64>(0x3FE3333333333303), //  5.99999999999994648725e-01\n        L2      = reinterpret<f64>(0x3FDB6DB6DB6FABFF), //  4.28571428578550184252e-01\n        L3      = reinterpret<f64>(0x3FD55555518F264D), //  3.33333329818377432918e-01\n        L4      = reinterpret<f64>(0x3FD17460A91D4101), //  2.72728123808534006489e-01\n        L5      = reinterpret<f64>(0x3FCD864A93C9DB65), //  2.30660745775561754067e-01\n        L6      = reinterpret<f64>(0x3FCA7E284A454EEF), //  2.06975017800338417784e-01\n        P1      = reinterpret<f64>(0x3FC555555555553E), //  1.66666666666666019037e-01\n        P2      = reinterpret<f64>(0xBF66C16C16BEBD93), // -2.77777777770155933842e-03\n        P3      = reinterpret<f64>(0x3F11566AAF25DE2C), //  6.61375632143793436117e-05\n        P4      = reinterpret<f64>(0xBEBBBD41C5D26BF1), // -1.65339022054652515390e-06\n        P5      = reinterpret<f64>(0x3E66376972BEA4D0), //  4.13813679705723846039e-08\n        lg2     = reinterpret<f64>(0x3FE62E42FEFA39EF), //  6.93147180559945286227e-01\n        lg2_h   = reinterpret<f64>(0x3FE62E4300000000), //  6.93147182464599609375e-01\n        lg2_l   = reinterpret<f64>(0xBE205C610CA86C39), // -1.90465429995776804525e-09\n        ovt     = reinterpret<f64>(0x3C971547652B82FE), //  8.0085662595372944372e-017\n        cp      = reinterpret<f64>(0x3FEEC709DC3A03FD), //  9.61796693925975554329e-01\n        cp_h    = reinterpret<f64>(0x3FEEC709E0000000), //  9.61796700954437255859e-01\n        cp_l    = reinterpret<f64>(0xBE3E2FE0145B01F5), // -7.02846165095275826516e-09\n        ivln2   = reinterpret<f64>(0x3FF71547652B82FE), //  1.44269504088896338700e+00\n        ivln2_h = reinterpret<f64>(0x3FF7154760000000), //  1.44269502162933349609e+00\n        ivln2_l = reinterpret<f64>(0x3E54AE0BF85DDF44), //  1.92596299112661746887e-08\n        inv3    = reinterpret<f64>(0x3FD5555555555555); //  0.3333333333333333333333\n\n      let u_ = reinterpret<u64>(x);\n      let hx = i32(u_ >> 32);\n      let lx = <u32>u_;\n      u_ = reinterpret<u64>(y);\n      let hy = i32(u_ >> 32);\n      let ly = <u32>u_;\n      let ix = hx & 0x7FFFFFFF;\n      let iy = hy & 0x7FFFFFFF;\n      if ((iy | ly) == 0) return 1.0; // x**0 = 1, even if x is NaN\n      // if (hx == 0x3FF00000 && lx == 0) return 1.0; // C: 1**y = 1, even if y is NaN, JS: NaN\n      if ( // NaN if either arg is NaN\n        ix > 0x7FF00000 || (ix == 0x7FF00000 && lx != 0) ||\n        iy > 0x7FF00000 || (iy == 0x7FF00000 && ly != 0)\n      ) return x + y;\n      let yisint = 0, k: i32;\n      if (hx < 0) {\n        if (iy >= 0x43400000) yisint = 2;\n        else if (iy >= 0x3FF00000) {\n          k = (iy >> 20) - 0x3FF;\n          let offset = select<u32>(52, 20, k > 20) - k;\n          let Ly = select<u32>(ly, iy, k > 20);\n          let jj = Ly >> offset;\n          if ((jj << offset) == Ly) yisint = 2 - (jj & 1);\n        }\n      }\n      if (ly == 0) {\n        if (iy == 0x7FF00000) { // y is +-inf\n          if (((ix - 0x3FF00000) | lx) == 0) return NaN; // C: (-1)**+-inf is 1, JS: NaN\n          else if (ix >= 0x3FF00000) return hy >= 0 ? y : 0.0; // (|x|>1)**+-inf = inf,0\n          else return hy >= 0 ? 0.0 : -y; // (|x|<1)**+-inf = 0,inf\n        }\n        if (iy == 0x3FF00000) {\n          if (hy >= 0) return x;\n          return 1 / x;\n        }\n        if (hy == 0x40000000) return x * x;\n        if (hy == 0x3FE00000) {\n          if (hx >= 0) return builtin_sqrt(x);\n        }\n      }\n      let ax = builtin_abs<f64>(x), z: f64;\n      if (lx == 0) {\n        if (ix == 0 || ix == 0x7FF00000 || ix == 0x3FF00000) {\n          z = ax;\n          if (hy < 0) z = 1.0 / z;\n          if (hx < 0) {\n            if (((ix - 0x3FF00000) | yisint) == 0) {\n              let d = z - z;\n              z = d / d;\n            } else if (yisint == 1) z = -z;\n          }\n          return z;\n        }\n      }\n      let s = 1.0;\n      if (hx < 0) {\n        if (yisint == 0) {\n          let d = x - x;\n          return d / d;\n        }\n        if (yisint == 1) s = -1.0;\n      }\n      let t1: f64, t2: f64, p_h: f64, p_l: f64, r: f64, t: f64, u: f64, v: f64, w: f64;\n      let j: i32, n: i32;\n      if (iy > 0x41E00000) {\n        if (iy > 0x43F00000) {\n          if (ix <= 0x3FEFFFFF) return hy < 0 ? huge * huge : tiny * tiny;\n          if (ix >= 0x3FF00000) return hy > 0 ? huge * huge : tiny * tiny;\n        }\n        if (ix < 0x3FEFFFFF) return hy < 0 ? s * huge * huge : s * tiny * tiny;\n        if (ix > 0x3FF00000) return hy > 0 ? s * huge * huge : s * tiny * tiny;\n        t = ax - 1.0;\n        w = (t * t) * (0.5 - t * (inv3 - t * 0.25));\n        u = ivln2_h * t;\n        v = t * ivln2_l - w * ivln2;\n        t1 = u + v;\n        t1 = reinterpret<f64>(reinterpret<u64>(t1) & 0xFFFFFFFF00000000);\n        t2 = v - (t1 - u);\n      } else {\n        let ss: f64, s2: f64, s_h: f64, s_l: f64, t_h: f64, t_l: f64;\n        n = 0;\n        if (ix < 0x00100000) {\n          ax *= two53;\n          n -= 53;\n          ix = <u32>(reinterpret<u64>(ax) >> 32);\n        }\n        n += (ix >> 20) - 0x3FF;\n        j = ix & 0x000FFFFF;\n        ix = j | 0x3FF00000;\n        if (j <= 0x3988E) k = 0;\n        else if (j < 0xBB67A) k = 1;\n        else {\n          k = 0;\n          n += 1;\n          ix -= 0x00100000;\n        }\n        ax = reinterpret<f64>(reinterpret<u64>(ax) & 0xFFFFFFFF | (<u64>ix << 32));\n        let bp = select<f64>(1.5, 1.0, k); // k ? 1.5 : 1.0\n        u = ax - bp;\n        v = 1.0 / (ax + bp);\n        ss = u * v;\n        s_h = ss;\n        s_h = reinterpret<f64>(reinterpret<u64>(s_h) & 0xFFFFFFFF00000000);\n        t_h = reinterpret<f64>(u64(((ix >> 1) | 0x20000000) + 0x00080000 + (k << 18)) << 32);\n        t_l = ax - (t_h - bp);\n        s_l = v * ((u - s_h * t_h) - s_h * t_l);\n        s2 = ss * ss;\n        r = s2 * s2 * (L1 + s2 * (L2 + s2 * (L3 + s2 * (L4 + s2 * (L5 + s2 * L6)))));\n        r += s_l * (s_h + ss);\n        s2 = s_h * s_h;\n        t_h = 3.0 + s2 + r;\n        t_h = reinterpret<f64>(reinterpret<u64>(t_h) & 0xFFFFFFFF00000000);\n        t_l = r - ((t_h - 3.0) - s2);\n        u = s_h * t_h;\n        v = s_l * t_h + t_l * ss;\n        p_h = u + v;\n        p_h = reinterpret<f64>(reinterpret<u64>(p_h) & 0xFFFFFFFF00000000);\n        p_l = v - (p_h - u);\n        let z_h = cp_h * p_h;\n        let dp_l = select<f64>(dp_l1, 0.0, k);\n        let z_l = cp_l * p_h + p_l * cp + dp_l;\n        t = <f64>n;\n        let dp_h = select<f64>(dp_h1, 0.0, k);\n        t1 = ((z_h + z_l) + dp_h) + t;\n        t1 = reinterpret<f64>(reinterpret<u64>(t1) & 0xFFFFFFFF00000000);\n        t2 = z_l - (((t1 - t) - dp_h) - z_h);\n      }\n      let y1 = y;\n      y1 = reinterpret<f64>(reinterpret<u64>(y1) & 0xFFFFFFFF00000000);\n      p_l = (y - y1) * t1 + y * t2;\n      p_h = y1 * t1;\n      z = p_l + p_h;\n      u_ = reinterpret<u64>(z);\n      j = u32(u_ >> 32);\n      let i = <i32>u_;\n      if (j >= 0x40900000) {\n        if (((j - 0x40900000) | i) != 0) return s * huge * huge;\n        if (p_l + ovt > z - p_h) return s * huge * huge;\n      } else if ((j & 0x7FFFFFFF) >= 0x4090CC00) {\n        if (((j - 0xC090CC00) | i) != 0) return s * tiny * tiny;\n        if (p_l <= z - p_h) return s * tiny * tiny;\n      }\n      i = j & 0x7FFFFFFF;\n      k = (i >> 20) - 0x3FF;\n      n = 0;\n      if (i > 0x3FE00000) {\n        n = j + (0x00100000 >> (k + 1));\n        k = ((n & 0x7FFFFFFF) >> 20) - 0x3FF;\n        t = 0.0;\n        t = reinterpret<f64>(u64(n & ~(0x000FFFFF >> k)) << 32);\n        n = ((n & 0x000FFFFF) | 0x00100000) >> (20 - k);\n        if (j < 0) n = -n;\n        p_h -= t;\n      }\n      t = p_l + p_h;\n      t = reinterpret<f64>(reinterpret<u64>(t) & 0xFFFFFFFF00000000);\n      u = t * lg2_h;\n      v = (p_l - (t - p_h)) * lg2 + t * lg2_l;\n      z = u + v;\n      w = v - (z - u);\n      t = z * z;\n      t1 = z - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5))));\n      r = (z * t1) / (t1 - 2.0) - (w + z * w);\n      z = 1.0 - (r - z);\n      j = u32(reinterpret<u64>(z) >> 32);\n      j += n << 20;\n      if ((j >> 20) <= 0) z = scalbn(z, n);\n      else z = reinterpret<f64>(reinterpret<u64>(z) & 0xFFFFFFFF | (<u64>j << 32));\n      return s * z;\n    }\n  }\n\n  export function seedRandom(value: i64): void {\n    // Instead zero seed use golden ratio:\n    // phi = (1 + sqrt(5)) / 2\n    // trunc(2^64 / phi) = 0x9e3779b97f4a7c15\n    if (value == 0) value = 0x9e3779b97f4a7c15;\n    random_state0_64 = murmurHash3(value);\n    random_state1_64 = murmurHash3(~random_state0_64);\n    random_state0_32 = splitMix32(<u32>value);\n    random_state1_32 = splitMix32(random_state0_32);\n    random_seeded = true;\n  }\n\n  export function random(): f64 { // see: v8/src/base/utils/random-number-generator.cc\n    if (!random_seeded) seedRandom(reinterpret<i64>(seed()));\n    let s1 = random_state0_64;\n    let s0 = random_state1_64;\n    random_state0_64 = s0;\n    s1 ^= s1 << 23;\n    s1 ^= s1 >> 17;\n    s1 ^= s0;\n    s1 ^= s0 >> 26;\n    random_state1_64 = s1;\n    let r = (s0 >> 12) | 0x3FF0000000000000;\n    return reinterpret<f64>(r) - 1;\n  }\n\n  export function round(x: f64): f64 {\n    if (ASC_SHRINK_LEVEL > 0) {\n      return builtin_ceil<f64>(x) - f64(builtin_ceil<f64>(x) - 0.5 > x);\n    } else {\n      let roundUp = builtin_ceil<f64>(x);\n      return select<f64>(roundUp, roundUp - 1.0, roundUp - 0.5 <= x);\n    }\n  }\n\n  export function sign(x: f64): f64 {\n    if (ASC_SHRINK_LEVEL > 0) {\n      return select<f64>(builtin_copysign<f64>(1, x), x, builtin_abs(x) > 0);\n    } else {\n      return select<f64>(1, select<f64>(-1, x, x < 0), x > 0);\n    }\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function signbit(x: f64): bool {\n    return bool(reinterpret<u64>(x) >>> 63);\n  }\n\n  export function sin(x: f64): f64 { // see: musl/src/math/sin.c\n    let u  = reinterpret<u64>(x);\n    let ux = u32(u >> 32);\n    let sign = ux >> 31;\n\n    ux &= 0x7FFFFFFF;\n\n    // |x| ~< pi/4\n    if (ux <= 0x3FE921FB) {\n      if (ux < 0x3E500000) { // |x| < 2**-26\n        return x;\n      }\n      return sin_kern(x, 0.0, 0);\n    }\n\n    // sin(Inf or NaN) is NaN\n    if (ux >= 0x7FF00000) return x - x;\n\n    // argument reduction needed\n    let n  = rempio2(x, u, sign);\n    let y0 = rempio2_y0;\n    let y1 = rempio2_y1;\n\n    x = n & 1 ? cos_kern(y0, y1) : sin_kern(y0, y1, 1);\n    return n & 2 ? -x : x;\n  }\n\n  export function sinh(x: f64): f64 { // see: musl/src/math/sinh.c\n    let u = reinterpret<u64>(x) & 0x7FFFFFFFFFFFFFFF;\n    let a = reinterpret<f64>(u);\n    let w = u32(u >> 32);\n    let h = builtin_copysign(0.5, x);\n    if (w < 0x40862E42) {\n      let t = expm1(a);\n      if (w < 0x3FF00000) {\n        if (w < 0x3FF00000 - (26 << 20)) return x;\n        return h * (2 * t - t * t / (t + 1));\n      }\n      return h * (t + t / (t + 1));\n    }\n    return expo2(a, 2 * h);\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function sqrt(x: f64): f64 {\n    return builtin_sqrt<f64>(x);\n  }\n\n  export function tan(x: f64): f64 { // see: musl/src/math/tan.c\n    let u = reinterpret<u64>(x);\n    let ux = u32(u >> 32);\n    let sign = ux >>> 31;\n\n    ux &= 0x7FFFFFFF;\n\n    // |x| ~< pi/4\n    if (ux <= 0x3FE921FB) {\n      if (ux < 0x3E400000) { // |x| < 2**-27\n        return x;\n      }\n      return tan_kern(x, 0.0, 1);\n    }\n\n    // tan(Inf or NaN) is NaN\n    if (ux >= 0x7FF00000) return x - x;\n\n    let n = rempio2(x, u, sign);\n    return tan_kern(rempio2_y0, rempio2_y1, 1 - ((n & 1) << 1));\n  }\n\n  export function tanh(x: f64): f64 { // see: musl/src/math/tanh.c\n    let u = reinterpret<u64>(x);\n    u &= 0x7FFFFFFFFFFFFFFF;\n    let y = reinterpret<f64>(u);\n    let w = u32(u >> 32);\n    let t: f64;\n    if (w > 0x3FE193EA) {\n      if (w > 0x40340000) {\n        t = 1 - 0 / y;\n      } else {\n        t = expm1(2 * y);\n        t = 1 - 2 / (t + 2);\n      }\n    } else if (w > 0x3FD058AE) {\n      t = expm1(2 * y);\n      t = t / (t + 2);\n    } else if (w >= 0x00100000) {\n      t = expm1(-2 * y);\n      t = -t / (t + 2);\n    } else t = y;\n    return builtin_copysign<f64>(t, x);\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function trunc(x: f64): f64 {\n    return builtin_trunc<f64>(x);\n  }\n\n  export function scalbn(x: f64, n: i32): f64 { // see: https://git.musl-libc.org/cgit/musl/tree/src/math/scalbn.c\n    const\n      Ox1p53    = reinterpret<f64>(0x4340000000000000),\n      Ox1p1023  = reinterpret<f64>(0x7FE0000000000000),\n      Ox1p_1022 = reinterpret<f64>(0x0010000000000000);\n\n    let y = x;\n    if (n > 1023) {\n      y *= Ox1p1023;\n      n -= 1023;\n      if (n > 1023) {\n        y *= Ox1p1023;\n        n = builtin_min<i32>(n - 1023, 1023);\n      }\n    } else if (n < -1022) {\n      // make sure final n < -53 to avoid double\n      // rounding in the subnormal range\n      y *= Ox1p_1022 * Ox1p53;\n      n += 1022 - 53;\n      if (n < -1022) {\n        y *= Ox1p_1022 * Ox1p53;\n        n = builtin_max<i32>(n + 1022 - 53, -1022);\n      }\n    }\n    return y * reinterpret<f64>(<u64>(0x3FF + n) << 52);\n  }\n\n  export function mod(x: f64, y: f64): f64 { // see: musl/src/math/fmod.c\n    if (builtin_abs<f64>(y) == 1.0) {\n      // x % 1, x % -1  ==>  sign(x) * abs(x - 1.0 * trunc(x / 1.0))\n      // TODO: move this rule to compiler's optimization pass.\n      // It could be apply for any x % C_pot, where \"C_pot\" is pow of two const.\n      return builtin_copysign<f64>(x - builtin_trunc<f64>(x), x);\n    }\n    let ux = reinterpret<u64>(x);\n    let uy = reinterpret<u64>(y);\n    let ex = i64(ux >> 52 & 0x7FF);\n    let ey = i64(uy >> 52 & 0x7FF);\n    let sx = ux >> 63;\n    let uy1 = uy << 1;\n    if (uy1 == 0 || ex == 0x7FF || isNaN<f64>(y)) {\n      let m = x * y;\n      return m / m;\n    }\n    let ux1 = ux << 1;\n    if (ux1 <= uy1) {\n      return x * f64(ux1 != uy1);\n    }\n    if (!ex) {\n      ex -= builtin_clz<i64>(ux << 12);\n      ux <<= 1 - ex;\n    } else {\n      ux &= u64(-1) >> 12;\n      ux |= 1 << 52;\n    }\n    if (!ey) {\n      ey -= builtin_clz<i64>(uy << 12);\n      uy <<= 1 - ey;\n    } else {\n      uy &= u64(-1) >> 12;\n      uy |= 1 << 52;\n    }\n    while (ex > ey) {\n      if (ux >= uy) {\n        if (ux == uy) return 0 * x;\n        ux -= uy;\n      }\n      ux <<= 1;\n      --ex;\n    }\n    if (ux >= uy) {\n      if (ux == uy) return 0 * x;\n      ux -= uy;\n    }\n    // for (; !(ux >> 52); ux <<= 1) --ex;\n    let shift = builtin_clz<i64>(ux << 11);\n    ex -= shift;\n    ux <<= shift;\n    if (ex > 0) {\n      ux -= 1 << 52;\n      ux |= ex << 52;\n    } else {\n      ux >>= -ex + 1;\n    }\n    return reinterpret<f64>(ux | (sx << 63));\n  }\n\n  export function rem(x: f64, y: f64): f64 { // see: musl/src/math/remquo.c\n    let ux = reinterpret<u64>(x);\n    let uy = reinterpret<u64>(y);\n    let ex = i64(ux >> 52 & 0x7FF);\n    let ey = i64(uy >> 52 & 0x7FF);\n    if (uy << 1 == 0 || ex == 0x7FF || isNaN(y)) {\n      let m = x * y;\n      return m / m;\n    }\n    if (ux << 1 == 0) return x;\n    let uxi = ux;\n    if (!ex) {\n      ex -= builtin_clz<i64>(uxi << 12);\n      uxi <<= 1 - ex;\n    } else {\n      uxi &= u64(-1) >> 12;\n      uxi |= 1 << 52;\n    }\n    if (!ey) {\n      ey -= builtin_clz<i64>(uy << 12);\n      uy <<= 1 - ey;\n    } else {\n      uy &= u64(-1) >> 12;\n      uy |= 1 << 52;\n    }\n    let q: u32 = 0;\n    do {\n      if (ex < ey) {\n        if (ex + 1 == ey) break; // goto end\n        return x;\n      }\n      while (ex > ey) {\n        if (uxi >= uy) {\n          uxi -= uy;\n          ++q;\n        }\n        uxi <<= 1;\n        q <<= 1;\n        --ex;\n      }\n      if (uxi >= uy) {\n        uxi -= uy;\n        ++q;\n      }\n      if (uxi == 0) ex = -60;\n      else {\n        let shift = builtin_clz<i64>(uxi << 11);\n        ex -= shift;\n        uxi <<= shift;\n      }\n      break;\n    } while (false);\n    // end:\n    if (ex > 0) {\n      uxi -= 1 << 52;\n      uxi |= ex << 52;\n    } else {\n      uxi >>= -ex + 1;\n    }\n    x = reinterpret<f64>(uxi);\n    y = builtin_abs<f64>(y);\n    let x2 = x + x;\n    if (ex == ey || (ex + 1 == ey && (x2 > y || (x2 == y && <bool>(q & 1))))) {\n      x -= y;\n      // ++q;\n    }\n    return <i64>ux < 0 ? -x : x;\n  }\n\n  export function sincos(x: f64): void { // see: musl/tree/src/math/sincos.c\n    let u = reinterpret<u64>(x);\n    let ux = u32(u >> 32);\n    let sign = ux >> 31;\n    ux &= 0x7FFFFFFF;\n\n    if (ux <= 0x3FE921FB) {  // |x| ~<= π/4\n      if (ux < 0x3E46A09E) { // if |x| < 2**-27 * sqrt(2)\n        sincos_sin = x;\n        sincos_cos = 1;\n        return;\n      }\n      sincos_sin = sin_kern(x, 0, 0);\n      sincos_cos = cos_kern(x, 0);\n      return;\n    }\n    // sin(Inf or NaN) is NaN\n    if (ux >= 0x7F800000) {\n      let xx = x - x;\n      sincos_sin = xx;\n      sincos_cos = xx;\n      return;\n    }\n    // general argument reduction needed\n    let n = rempio2(x, u, sign);\n    let y0 = rempio2_y0;\n    let y1 = rempio2_y1;\n    let s = sin_kern(y0, y1, 1);\n    let c = cos_kern(y0, y1);\n    let sin = s, cos = c;\n    if (n & 1) {\n      sin =  c;\n      cos = -s;\n    }\n    if (n & 2) {\n      sin = -sin;\n      cos = -cos;\n    }\n    sincos_sin = sin;\n    sincos_cos = cos;\n  }\n}\n\n// @ts-ignore: decorator\n@lazy let rempio2f_y: f64;\n\n// @ts-ignore: decorator\n@lazy @inline const PIO2F_TABLE = memory.data<u64>([\n  0xA2F9836E4E441529,\n  0xFC2757D1F534DDC0,\n  0xDB6295993C439041,\n  0xFE5163ABDEBBC561\n]);\n\nfunction Rf(z: f32): f32 { // Rational approximation of (asin(x)-x)/x^3\n  const                    // see: musl/src/math/asinf.c and SUN COPYRIGHT NOTICE above\n    pS0 = reinterpret<f32>(0x3E2AAA75), //  1.6666586697e-01f\n    pS1 = reinterpret<f32>(0xBD2F13BA), // -4.2743422091e-02f\n    pS2 = reinterpret<f32>(0xBC0DD36B), // -8.6563630030e-03f\n    qS1 = reinterpret<f32>(0xBF34E5AE); // -7.0662963390e-01f\n\n  let p = z * (pS0 + z * (pS1 + z * pS2));\n  let q: f32 = 1 + z * qS1;\n  return p / q;\n}\n\n// @ts-ignore: decorator\n@inline\nfunction expo2f(x: f32, sign: f32): f32 { // exp(x)/2 for x >= log(DBL_MAX)\n  const                                // see: musl/src/math/__expo2f.c\n    k    = <u32>235,\n    kln2 = reinterpret<f32>(0x4322E3BC); // 0x1.45c778p+7f\n  let scale = reinterpret<f32>(u32(0x7F + (k >> 1)) << 23);\n  // in directed rounding correct sign before rounding or overflow is important\n  return NativeMathf.exp(x - kln2) * (sign * scale) * scale;\n}\n\n// @ts-ignore: decorator\n@inline\nfunction pio2f_large_quot(x: f32, u: i32): i32 { // see: jdh8/metallic/blob/master/src/math/float/rem_pio2f.c\n  const coeff = reinterpret<f64>(0x3BF921FB54442D18); // π * 0x1p-65 = 8.51530395021638647334e-20\n\n  let offset = (u >> 23) - 152;\n  let shift  = u64(offset & 63);\n  let tblPtr = PIO2F_TABLE + (offset >> 6 << 3);\n\n  let b0 = load<u64>(tblPtr, 0 << 3);\n  let b1 = load<u64>(tblPtr, 1 << 3);\n  let lo: u64;\n\n  if (shift > 32) {\n    let b2 = load<u64>(tblPtr, 2 << 3);\n    lo  = b2 >> (96 - shift);\n    lo |= b1 << (shift - 32);\n  } else {\n    lo = b1 >> (32 - shift);\n  }\n\n  let hi = (b1 >> (64 - shift)) | (b0 << shift);\n  let mantissa: u64 = (u & 0x007FFFFF) | 0x00800000;\n  let product = mantissa * hi + (mantissa * lo >> 32);\n  let r: i64 = product << 2;\n  let q = i32((product >> 62) + (r >>> 63));\n  rempio2f_y = copysign<f64>(coeff, x) * <f64>r;\n  return q;\n}\n\n// @ts-ignore: decorator\n@inline\nfunction rempio2f(x: f32, u: u32, sign: i32): i32 { // see: jdh8/metallic/blob/master/src/math/float/rem_pio2f.c\n  const\n    pi2hi = reinterpret<f64>(0x3FF921FB50000000), // 1.57079631090164184570\n    pi2lo = reinterpret<f64>(0x3E5110B4611A6263), // 1.58932547735281966916e-8\n    _2_pi = reinterpret<f64>(0x3FE45F306DC9C883); // 0.63661977236758134308\n\n  if (u < 0x4DC90FDB) { // π * 0x1p28\n    let q = nearest(x * _2_pi);\n    rempio2f_y = x - q * pi2hi - q * pi2lo;\n    return <i32>q;\n  }\n\n  let q = pio2f_large_quot(x, u);\n  return select(-q, q, sign);\n}\n\n// |sin(x)/x - s(x)| < 2**-37.5 (~[-4.89e-12, 4.824e-12]).\n// @ts-ignore: decorator\n@inline\nfunction sin_kernf(x: f64): f32 { // see: musl/tree/src/math/__sindf.c\n  const\n    S1 = reinterpret<f64>(0xBFC5555554CBAC77), // -0x15555554cbac77.0p-55\n    S2 = reinterpret<f64>(0x3F811110896EFBB2), //  0x111110896efbb2.0p-59\n    S3 = reinterpret<f64>(0xBF2A00F9E2CAE774), // -0x1a00f9e2cae774.0p-65\n    S4 = reinterpret<f64>(0x3EC6CD878C3B46A7); //  0x16cd878c3b46a7.0p-71\n\n  let z = x * x;\n  let w = z * z;\n  let r = S3 + z * S4;\n  let s = z * x;\n  return f32((x + s * (S1 + z * S2)) + s * w * r);\n}\n\n// |cos(x) - c(x)| < 2**-34.1 (~[-5.37e-11, 5.295e-11]).\n// @ts-ignore: decorator\n@inline\nfunction cos_kernf(x: f64): f32 { // see: musl/tree/src/math/__cosdf.c\n  const\n    C0 = reinterpret<f64>(0xBFDFFFFFFD0C5E81), // -0x1ffffffd0c5e81.0p-54\n    C1 = reinterpret<f64>(0x3FA55553E1053A42), //  0x155553e1053a42.0p-57\n    C2 = reinterpret<f64>(0xBF56C087E80F1E27), // -0x16c087e80f1e27.0p-62\n    C3 = reinterpret<f64>(0x3EF99342E0EE5069); //  0x199342e0ee5069.0p-68\n\n  let z = x * x;\n  let w = z * z;\n  let r = C2 + z * C3;\n  return f32(((1 + z * C0) + w * C1) + (w * z) * r);\n}\n\n// |tan(x)/x - t(x)| < 2**-25.5 (~[-2e-08, 2e-08]).\n// @ts-ignore: decorator\n@inline\nfunction tan_kernf(x: f64, odd: i32): f32 { // see: musl/tree/src/math/__tandf.c\n  const\n    T0 = reinterpret<f64>(0x3FD5554D3418C99F), // 0x15554d3418c99f.0p-54\n    T1 = reinterpret<f64>(0x3FC112FD38999F72), // 0x1112fd38999f72.0p-55\n    T2 = reinterpret<f64>(0x3FAB54C91D865AFE), // 0x1b54c91d865afe.0p-57\n    T3 = reinterpret<f64>(0x3F991DF3908C33CE), // 0x191df3908c33ce.0p-58\n    T4 = reinterpret<f64>(0x3F685DADFCECF44E), // 0x185dadfcecf44e.0p-61\n    T5 = reinterpret<f64>(0x3F8362B9BF971BCD); // 0x1362b9bf971bcd.0p-59\n\n  let z = x * x;\n  let r = T4 + z * T5;\n  let t = T2 + z * T3;\n  let w = z * z;\n  let s = z * x;\n  let u = T0 + z * T1;\n\n  r = (x + s * u) + (s * w) * (t + w * r);\n  return f32(odd ? -1 / r : r);\n}\n\n// See: jdh8/metallic/src/math/float/log2f.c and jdh8/metallic/src/math/float/kernel/atanh.h\n// @ts-ignore: decorator\n@inline\nfunction log2f(x: f64): f64 {\n  const\n    log2e = reinterpret<f64>(0x3FF71547652B82FE), // 1.44269504088896340736\n    c0 = reinterpret<f64>(0x3FD555554FD9CAEF),    // 0.33333332822728226129\n    c1 = reinterpret<f64>(0x3FC999A7A8AF4132),    // 0.20000167595436263505\n    c2 = reinterpret<f64>(0x3FC2438D79437030),    // 0.14268654271188685375\n    c3 = reinterpret<f64>(0x3FBE2F663B001C97);    // 0.11791075649681414150\n\n  let i = reinterpret<i64>(x);\n  let exponent = (i - 0x3FE6A09E667F3BCD) >> 52;\n  x = reinterpret<f64>(i - (exponent << 52));\n  x = (x - 1) / (x + 1);\n  let xx = x * x;\n  let y = x + x * xx * (c0 + c1 * xx + (c2 + c3 * xx) * (xx * xx));\n  return (2 * log2e) * y + <f64>exponent;\n}\n\n// See: jdh8/metallic/src/math/float/exp2f.h and jdh8/metallic/blob/master/src/math/float/kernel/exp2f.h\n// @ts-ignore: decorator\n@inline\nfunction exp2f(x: f64): f64 {\n  const\n    c0 = reinterpret<f64>(0x3FE62E4302FCC24A), // 6.931471880289532425e-1\n    c1 = reinterpret<f64>(0x3FCEBFBE07D97B91), // 2.402265108421173406e-1\n    c2 = reinterpret<f64>(0x3FAC6AF6CCFC1A65), // 5.550357105498874537e-2\n    c3 = reinterpret<f64>(0x3F83B29E3CE9AEF6), // 9.618030771171497658e-3\n    c4 = reinterpret<f64>(0x3F55F0896145A89F), // 1.339086685300950937e-3\n    c5 = reinterpret<f64>(0x3F2446C81E384864); // 1.546973499989028719e-4\n\n  if (x < -1022) return 0;\n  if (x >= 1024) return Infinity;\n\n  let n = nearest(x);\n  x -= n;\n  let xx = x * x;\n  let y = 1 + x * (c0 + c1 * x + (c2 + c3 * x) * xx + (c4 + c5 * x) * (xx * xx));\n  return reinterpret<f64>(reinterpret<i64>(y) + (<i64>n << 52));\n}\n\nexport namespace NativeMathf {\n\n  // @ts-ignore: decorator\n  @lazy\n  export const E       = <f32>NativeMath.E;\n\n  // @ts-ignore: decorator\n  @lazy\n  export const LN2     = <f32>NativeMath.LN2;\n\n  // @ts-ignore: decorator\n  @lazy\n  export const LN10    = <f32>NativeMath.LN10;\n\n  // @ts-ignore: decorator\n  @lazy\n  export const LOG2E   = <f32>NativeMath.LOG2E;\n\n  // @ts-ignore: decorator\n  @lazy\n  export const LOG10E  = <f32>NativeMath.LOG10E;\n\n  // @ts-ignore: decorator\n  @lazy\n  export const PI      = <f32>NativeMath.PI;\n\n  // @ts-ignore: decorator\n  @lazy\n  export const SQRT1_2 = <f32>NativeMath.SQRT1_2;\n\n  // @ts-ignore: decorator\n  @lazy\n  export const SQRT2   = <f32>NativeMath.SQRT2;\n\n  // @ts-ignore: decorator\n  @lazy\n  export let sincos_sin: f32 = 0;\n\n  // @ts-ignore: decorator\n  @lazy\n  export let sincos_cos: f32 = 0;\n\n  // @ts-ignore: decorator\n  @inline\n  export function abs(x: f32): f32 {\n    return builtin_abs<f32>(x);\n  }\n\n  export function acos(x: f32): f32 { // see: musl/src/math/acosf.c and SUN COPYRIGHT NOTICE above\n    const\n      pio2_hi   = reinterpret<f32>(0x3FC90FDA), // 1.5707962513e+00f\n      pio2_lo   = reinterpret<f32>(0x33A22168), // 7.5497894159e-08f\n      Ox1p_120f = reinterpret<f32>(0x03800000); // 0x1p-120f\n\n    let hx = reinterpret<u32>(x);\n    let ix = hx & 0x7FFFFFFF;\n    if (ix >= 0x3F800000) {\n      if (ix == 0x3F800000) {\n        return select<f32>(2 * pio2_hi + Ox1p_120f, 0, <i32>hx < 0);\n      }\n      return 0 / (x - x);\n    }\n    if (ix < 0x3F000000) {\n      if (ix <= 0x32800000) return pio2_hi + Ox1p_120f;\n      return pio2_hi - (x - (pio2_lo - x * Rf(x * x)));\n    }\n    let z: f32, w: f32, s: f32;\n    if (<i32>hx < 0) {\n      // z = (1 + x) * 0.5;\n      z = 0.5 + x * 0.5;\n      s = builtin_sqrt<f32>(z);\n      w = Rf(z) * s - pio2_lo;\n      return 2 * (pio2_hi - (s + w));\n    }\n    // z = (1 - x) * 0.5;\n    z = 0.5 - x * 0.5;\n    s = builtin_sqrt<f32>(z);\n    hx = reinterpret<u32>(s);\n    let df = reinterpret<f32>(hx & 0xFFFFF000);\n    let c = (z - df * df) / (s + df);\n    w = Rf(z) * s + c;\n    return 2 * (df + w);\n  }\n\n  export function acosh(x: f32): f32 { // see: musl/src/math/acoshf.c\n    const s = reinterpret<f32>(0x3F317218); // 0.693147180559945309417232121458176568f\n    let u = reinterpret<u32>(x);\n    let a = u & 0x7FFFFFFF;\n    if (a < 0x3F800000 + (1 << 23)) { // |x| < 2, invalid if x < 1\n      let xm1 = x - 1;\n      return log1p(xm1 + builtin_sqrt(xm1 * (xm1 + 2)));\n    }\n    if (u < 0x3F800000 + (12 << 23)) { // 2 <= x < 0x1p12\n      return log(2 * x - 1 / (x + builtin_sqrt<f32>(x * x - 1)));\n    }\n    // x >= 0x1p12 or x <= -2 or NaN\n    return log(x) + s;\n  }\n\n  export function asin(x: f32): f32 { // see: musl/src/math/asinf.c and SUN COPYRIGHT NOTICE above\n    const\n      pio2      = reinterpret<f32>(0x3FC90FDB), // 1.570796326794896558e+00f\n      Ox1p_120f = reinterpret<f32>(0x03800000); // 0x1p-120f\n\n    let sx = x;\n    let hx = reinterpret<u32>(x) & 0x7FFFFFFF;\n    if (hx >= 0x3F800000) {\n      if (hx == 0x3F800000) return x * pio2 + Ox1p_120f;\n      return 0 / (x - x);\n    }\n    if (hx < 0x3F000000) {\n      if (hx < 0x39800000 && hx >= 0x00800000) return x;\n      return x + x * Rf(x * x);\n    }\n    // let z: f32 = (1 - builtin_abs<f32>(x)) * 0.5;\n    let z: f32 = 0.5 - builtin_abs<f32>(x) * 0.5;\n    let s = builtin_sqrt<f64>(z); // sic\n    x = f32(pio2 - 2 * (s + s * Rf(z)));\n    return builtin_copysign(x, sx);\n  }\n\n  export function asinh(x: f32): f32 { // see: musl/src/math/asinhf.c\n    const c = reinterpret<f32>(0x3F317218); // 0.693147180559945309417232121458176568f\n    let u = reinterpret<u32>(x) & 0x7FFFFFFF;\n    let y = reinterpret<f32>(u);\n    if (u >= 0x3F800000 + (12 << 23)) y = log(y) + c;\n    else if (u >= 0x3F800000 + (1 << 23))  y =   log(2 * y + 1 / (builtin_sqrt<f32>(y * y + 1) + y));\n    else if (u >= 0x3F800000 - (12 << 23)) y = log1p(y + y * y / (builtin_sqrt<f32>(y * y + 1) + 1));\n    return builtin_copysign(y, x);\n  }\n\n  export function atan(x: f32): f32 { // see: musl/src/math/atanf.c and SUN COPYRIGHT NOTICE above\n    const\n      atanhi0   = reinterpret<f32>(0x3EED6338), //  4.6364760399e-01f\n      atanhi1   = reinterpret<f32>(0x3F490FDA), //  7.8539812565e-01f\n      atanhi2   = reinterpret<f32>(0x3F7B985E), //  9.8279368877e-01f\n      atanhi3   = reinterpret<f32>(0x3FC90FDA), //  1.5707962513e+00f\n      atanlo0   = reinterpret<f32>(0x31AC3769), //  5.0121582440e-09f\n      atanlo1   = reinterpret<f32>(0x33222168), //  3.7748947079e-08f\n      atanlo2   = reinterpret<f32>(0x33140FB4), //  3.4473217170e-08f\n      atanlo3   = reinterpret<f32>(0x33A22168), //  7.5497894159e-08f\n      aT0       = reinterpret<f32>(0x3EAAAAA9), //  3.3333328366e-01f\n      aT1       = reinterpret<f32>(0xBE4CCA98), // -1.9999158382e-01f\n      aT2       = reinterpret<f32>(0x3E11F50D), //  1.4253635705e-01f\n      aT3       = reinterpret<f32>(0xBDDA1247), // -1.0648017377e-01f\n      aT4       = reinterpret<f32>(0x3D7CAC25), //  6.1687607318e-02f\n      Ox1p_120f = reinterpret<f32>(0x03800000); //  0x1p-120f\n\n    let ix = reinterpret<u32>(x);\n    let sx = x;\n    ix &= 0x7FFFFFFF;\n    let z: f32;\n    if (ix >= 0x4C800000) {\n      if (isNaN(x)) return x;\n      z = atanhi3 + Ox1p_120f;\n      return builtin_copysign(z, sx);\n    }\n    let id: i32;\n    if (ix < 0x3EE00000) {\n      if (ix < 0x39800000) return x;\n      id = -1;\n    } else {\n      x = builtin_abs<f32>(x);\n      if (ix < 0x3F980000) {\n        if (ix < 0x3F300000) {\n          id = 0;\n          x = (2.0 * x - 1.0) / (2.0 + x);\n        } else {\n          id = 1;\n          x = (x - 1.0) / (x + 1.0);\n        }\n      } else {\n        if (ix < 0x401C0000) {\n          id = 2;\n          x = (x - 1.5) / (1.0 + 1.5 * x);\n        } else {\n          id = 3;\n          x = -1.0 / x;\n        }\n      }\n    }\n    z = x * x;\n    let w = z * z;\n    let s1 = z * (aT0 + w * (aT2 + w * aT4));\n    let s2 = w * (aT1 + w * aT3);\n    let s3 = x * (s1 + s2);\n    if (id < 0) return x - s3;\n    switch (id) {\n      case 0: { z = atanhi0 - ((s3 - atanlo0) - x); break; }\n      case 1: { z = atanhi1 - ((s3 - atanlo1) - x); break; }\n      case 2: { z = atanhi2 - ((s3 - atanlo2) - x); break; }\n      case 3: { z = atanhi3 - ((s3 - atanlo3) - x); break; }\n      default: unreachable();\n    }\n    return builtin_copysign(z, sx);\n  }\n\n  export function atanh(x: f32): f32 { // see: musl/src/math/atanhf.c\n    let u = reinterpret<u32>(x);\n    let y = builtin_abs(x);\n    if (u < 0x3F800000 - (1 << 23)) {\n      if (u >= 0x3F800000 - (32 << 23)) y = 0.5 * log1p(2 * y * (1.0 + y / (1 - y)));\n    } else y = 0.5 * log1p(2 * (y / (1 - y)));\n    return builtin_copysign(y, x);\n  }\n\n  export function atan2(y: f32, x: f32): f32 { // see: musl/src/math/atan2f.c and SUN COPYRIGHT NOTICE above\n    const\n      pi    = reinterpret<f32>(0x40490FDB), //  3.1415927410e+00f\n      pi_lo = reinterpret<f32>(0xB3BBBD2E); // -8.7422776573e-08f\n\n    if (isNaN(x) || isNaN(y)) return x + y;\n    let ix = reinterpret<u32>(x);\n    let iy = reinterpret<u32>(y);\n    if (ix == 0x3F800000) return atan(y);\n    let m = u32(((iy >> 31) & 1) | ((ix >> 30) & 2));\n    ix &= 0x7FFFFFFF;\n    iy &= 0x7FFFFFFF;\n    if (iy == 0) {\n      switch (m) {\n        case 0:\n        case 1: return  y;\n        case 2: return  pi;\n        case 3: return -pi;\n      }\n    }\n    if (ix == 0) return m & 1 ? -pi / 2 : pi / 2;\n    if (ix == 0x7F800000) {\n      if (iy == 0x7F800000) {\n        let t: f32 = m & 2 ? 3 * pi / 4 : pi / 4;\n        return m & 1 ? -t : t;\n      } else {\n        let t: f32 = m & 2 ? pi : 0.0;\n        return m & 1 ? -t : t;\n      }\n    }\n    if (ix + (26 << 23) < iy || iy == 0x7F800000) return m & 1 ? -pi / 2 : pi / 2;\n    let z: f32;\n    if ((m & 2) && iy + (26 << 23) < ix) z = 0.0;\n    else z = atan(builtin_abs<f32>(y / x));\n    switch (m) {\n      case 0: return  z;\n      case 1: return -z;\n      case 2: return pi - (z - pi_lo);\n      case 3: return (z - pi_lo) - pi;\n    }\n    unreachable();\n    return 0;\n  }\n\n  export function cbrt(x: f32): f32 { // see: musl/src/math/cbrtf.c and SUN COPYRIGHT NOTICE above\n    const\n      B1      = <u32>709958130,\n      B2      = <u32>642849266,\n      Ox1p24f = reinterpret<f32>(0x4B800000);\n\n    let u = reinterpret<u32>(x);\n    let hx = u & 0x7FFFFFFF;\n    if (hx >= 0x7F800000) return x + x;\n    if (hx < 0x00800000) {\n      if (hx == 0) return x;\n      u = reinterpret<u32>(x * Ox1p24f);\n      hx = u & 0x7FFFFFFF;\n      hx = hx / 3 + B2;\n    } else {\n      hx = hx / 3 + B1;\n    }\n    u &= 0x80000000;\n    u |= hx;\n    let t = <f64>reinterpret<f32>(u);\n    let r = t * t * t;\n    t = t * (<f64>x + x + r) / (x + r + r);\n    r = t * t * t;\n    t = t * (<f64>x + x + r) / (x + r + r);\n    return <f32>t;\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function ceil(x: f32): f32 {\n    return builtin_ceil<f32>(x);\n  }\n\n  export function clz32(x: f32): f32 {\n    if (!isFinite(x)) return 32;\n    return <f32>builtin_clz(dtoi32(x));\n  }\n\n  export function cos(x: f32): f32 { // see: musl/src/math/cosf.c\n    const\n      c1pio2 = reinterpret<f64>(0x3FF921FB54442D18), // M_PI_2 * 1\n      c2pio2 = reinterpret<f64>(0x400921FB54442D18), // M_PI_2 * 2\n      c3pio2 = reinterpret<f64>(0x4012D97C7F3321D2), // M_PI_2 * 3\n      c4pio2 = reinterpret<f64>(0x401921FB54442D18); // M_PI_2 * 4\n\n    let ux = reinterpret<u32>(x);\n    let sign = ux >> 31;\n    ux &= 0x7FFFFFFF;\n\n    if (ux <= 0x3F490FDA) {  // |x| ~<= π/4\n      if (ux < 0x39800000) { // |x| < 2**-12\n        // raise inexact if x != 0\n        return 1;\n      }\n      return cos_kernf(x);\n    }\n\n    if (ASC_SHRINK_LEVEL < 1) {\n      if (ux <= 0x407B53D1) {  // |x| ~<= 5π/4\n        if (ux > 0x4016CBE3) { // |x|  ~> 3π/4\n          return -cos_kernf(sign ? x + c2pio2 : x - c2pio2);\n        } else {\n          return sign ? sin_kernf(x + c1pio2) : sin_kernf(c1pio2 - x);\n        }\n      }\n      if (ux <= 0x40E231D5) {  // |x| ~<= 9π/4\n        if (ux > 0x40AFEDDF) { // |x|  ~> 7π/4\n          return cos_kernf(sign ? x + c4pio2 : x - c4pio2);\n        } else {\n          return sign ? sin_kernf(-x - c3pio2) : sin_kernf(x - c3pio2);\n        }\n      }\n    }\n\n    // cos(Inf or NaN) is NaN\n    if (ux >= 0x7F800000) return x - x;\n\n    // general argument reduction needed\n    let n = rempio2f(x, ux, sign);\n    let y = rempio2f_y;\n\n    let t = n & 1 ? sin_kernf(y) : cos_kernf(y);\n    return (n + 1) & 2 ? -t : t;\n  }\n\n  export function cosh(x: f32): f32 { // see: musl/src/math/coshf.c\n    let u = reinterpret<u32>(x);\n    u &= 0x7FFFFFFF;\n    x = reinterpret<f32>(u);\n    if (u < 0x3F317217) {\n      if (u < 0x3F800000 - (12 << 23)) return 1;\n      let t = expm1(x);\n      // return 1 + t * t / (2 * (1 + t));\n      return 1 + t * t / (2 + 2 * t);\n    }\n    if (u < 0x42B17217) {\n      let t = exp(x);\n      // return 0.5 * (t + 1 / t);\n      return 0.5 * t + 0.5 / t;\n    }\n    return expo2f(x, 1);\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function floor(x: f32): f32 {\n    return builtin_floor<f32>(x);\n  }\n\n  export function exp(x: f32): f32 { // see: musl/src/math/expf.c and SUN COPYRIGHT NOTICE above\n    if (ASC_SHRINK_LEVEL < 1) {\n      return expf_lut(x);\n    } else {\n      const\n        ln2hi    = reinterpret<f32>(0x3F317200), //  6.9314575195e-1f\n        ln2lo    = reinterpret<f32>(0x35BFBE8E), //  1.4286067653e-6f\n        invln2   = reinterpret<f32>(0x3FB8AA3B), //  1.4426950216e+0f\n        P1       = reinterpret<f32>(0x3E2AAA8F), //  1.6666625440e-1f\n        P2       = reinterpret<f32>(0xBB355215), // -2.7667332906e-3f\n        Ox1p127f = reinterpret<f32>(0x7F000000); //  0x1p+127f\n\n      let hx = reinterpret<u32>(x);\n      let sign = hx >> 31;\n      hx &= 0x7FFFFFFF;\n      if (hx >= 0x42AEAC50) {\n        if (hx > 0x7F800000) return x; // NaN\n        if (hx >= 0x42B17218) {\n          if (!sign) return x * Ox1p127f;\n          else if (hx >= 0x42CFF1B5) return 0;\n        }\n      }\n      let hi: f32, lo: f32;\n      let k: i32;\n      if (hx > 0x3EB17218) {\n        if (hx > 0x3F851592) {\n          k = i32(invln2 * x + builtin_copysign<f32>(0.5, x));\n        } else {\n          k = 1 - (sign << 1);\n        }\n        hi = x - <f32>k * ln2hi;\n        lo = <f32>k * ln2lo;\n        x = hi - lo;\n      } else if (hx > 0x39000000) {\n        k = 0;\n        hi = x;\n        lo = 0;\n      } else {\n        return 1 + x;\n      }\n      let xx = x * x;\n      let c = x - xx * (P1 + xx * P2);\n      let y: f32 = 1 + (x * c / (2 - c) - lo + hi);\n      return k == 0 ? y : scalbn(y, k);\n    }\n  }\n\n  export function exp2(x: f32): f32 {\n    return exp2f_lut(x);\n  }\n\n  export function expm1(x: f32): f32 { // see: musl/src/math/expm1f.c and SUN COPYRIGHT NOTICE above\n    const\n      ln2_hi   = reinterpret<f32>(0x3F317180), //  6.9313812256e-01f\n      ln2_lo   = reinterpret<f32>(0x3717F7D1), //  9.0580006145e-06f\n      invln2   = reinterpret<f32>(0x3FB8AA3B), //  1.4426950216e+00f\n      Q1       = reinterpret<f32>(0xBD088868), // -3.3333212137e-02f\n      Q2       = reinterpret<f32>(0x3ACF3010), //  1.5807170421e-03f\n      Ox1p127f = reinterpret<f32>(0x7F000000); //  0x1p+127f\n\n    let u = reinterpret<u32>(x);\n    let hx = u & 0x7FFFFFFF;\n    let sign = u >> 31;\n    if (hx >= 0x4195B844) {\n      if (hx > 0x7F800000) return x;\n      if (sign) return -1;\n      if (hx > 0x42B17217) { // x > log(FLT_MAX)\n        x *= Ox1p127f;\n        return x;\n      }\n    }\n    let c: f32 = 0.0, t: f32, k: i32;\n    if (hx > 0x3EB17218) {\n      k = select<i32>(\n        1 - (sign << 1),\n        i32(invln2 * x + builtin_copysign<f32>(0.5, x)),\n        hx < 0x3F851592\n      );\n      t = <f32>k;\n      let hi = x - t * ln2_hi;\n      let lo = t * ln2_lo;\n      x = hi - lo;\n      c = (hi - x) - lo;\n    } else if (hx < 0x33000000) {\n      return x;\n    } else k = 0;\n    let hfx: f32 = 0.5 * x;\n    let hxs: f32 = x * hfx;\n    let r1: f32 = 1.0 + hxs * (Q1 + hxs * Q2);\n    t  = 3.0 - r1 * hfx;\n    let e = hxs * ((r1 - t) / (6.0 - x * t));\n    if (k == 0) return x - (x * e - hxs);\n    e  = x * (e - c) - c;\n    e -= hxs;\n    if (k == -1) return 0.5 * (x - e) - 0.5;\n    if (k == 1) {\n      if (x < -0.25) return -2.0 * (e - (x + 0.5));\n      return 1.0 + 2.0 * (x - e);\n    }\n    u = (0x7F + k) << 23;\n    let twopk = reinterpret<f32>(u);\n    let y: f32;\n    if (k < 0 || k > 56) {\n      y = x - e + 1.0;\n      if (k == 128) y = y * 2.0 * Ox1p127f;\n      else y = y * twopk;\n      return y - 1.0;\n    }\n    u = (0x7F - k) << 23;\n    y = reinterpret<f32>(u);\n    if (k < 20) y = (1 - y) - e;\n    else y = 1 - (e + y);\n    return (x + y) * twopk;\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function fround(x: f32): f32 {\n    return x;\n  }\n\n  export function hypot(x: f32, y: f32): f32 { // see: musl/src/math/hypotf.c\n    const\n      Ox1p90f  = reinterpret<f32>(0x6C800000),\n      Ox1p_90f = reinterpret<f32>(0x12800000);\n\n    let ux = reinterpret<u32>(x);\n    let uy = reinterpret<u32>(y);\n    ux &= 0x7FFFFFFF;\n    uy &= 0x7FFFFFFF;\n    if (ux < uy) {\n      let ut = ux;\n      ux = uy;\n      uy = ut;\n    }\n    x = reinterpret<f32>(ux);\n    y = reinterpret<f32>(uy);\n    if (uy == 0xFF << 23) return y;\n    if (ux >= 0xFF << 23 || uy == 0 || ux - uy >= 25 << 23) return x + y;\n    let z: f32 = 1;\n    if (ux >= (0x7F + 60) << 23) {\n      z  = Ox1p90f;\n      x *= Ox1p_90f;\n      y *= Ox1p_90f;\n    } else if (uy < (0x7F - 60) << 23) {\n      z  = Ox1p_90f;\n      x *= Ox1p90f;\n      y *= Ox1p90f;\n    }\n    return z * builtin_sqrt<f32>(f32(<f64>x * x + <f64>y * y));\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function imul(x: f32, y: f32): f32 {\n    /*\n     * Wasm (MVP) and JS have different approaches for double->int conversions.\n     *\n     * For emulate JS conversion behavior and avoid trapping from wasm we should modulate by MAX_INT\n     * our float-point arguments before actual convertion to integers.\n     */\n    if (!isFinite(x + y)) return 0;\n    return <f32>(dtoi32(x) * dtoi32(y));\n  }\n\n  export function log(x: f32): f32 { // see: musl/src/math/logf.c and SUN COPYRIGHT NOTICE above\n    if (ASC_SHRINK_LEVEL < 1) {\n      return logf_lut(x);\n    } else {\n      const\n        ln2_hi  = reinterpret<f32>(0x3F317180), // 6.9313812256e-01f\n        ln2_lo  = reinterpret<f32>(0x3717F7D1), // 9.0580006145e-06f\n        Lg1     = reinterpret<f32>(0x3F2AAAAA), // 0xaaaaaa.0p-24f\n        Lg2     = reinterpret<f32>(0x3ECCCE13), // 0xccce13.0p-25f\n        Lg3     = reinterpret<f32>(0x3E91E9EE), // 0x91e9ee.0p-25f\n        Lg4     = reinterpret<f32>(0x3E789E26), // 0xf89e26.0p-26f\n        Ox1p25f = reinterpret<f32>(0x4C000000);\n\n      let u = reinterpret<u32>(x);\n      let k = 0;\n      let sign = u >> 31;\n      if (sign || u < 0x00800000) {\n        if (u << 1 == 0) return -1 / (x * x);\n        if (sign) return (x - x) / 0;\n        k -= 25;\n        x *= Ox1p25f;\n        u = reinterpret<u32>(x);\n      } else if (u >= 0x7F800000) {\n        return x;\n      } else if (u == 0x3F800000) {\n        return 0;\n      }\n      u += 0x3F800000 - 0x3F3504F3;\n      k += i32(u >> 23) - 0x7F;\n      u = (u & 0x007FFFFF) + 0x3F3504F3;\n      x = reinterpret<f32>(u);\n      let f = x - 1.0;\n      let s = f / (2.0 + f);\n      let z = s * s;\n      let w = z * z;\n      let t1 = w * (Lg2 + w * Lg4);\n      let t2 = z * (Lg1 + w * Lg3);\n      let r = t2 + t1;\n      let hfsq = <f32>0.5 * f * f;\n      let dk = <f32>k;\n      return s * (hfsq + r) + dk * ln2_lo - hfsq + f + dk * ln2_hi;\n    }\n  }\n\n  export function log10(x: f32): f32 { // see: musl/src/math/log10f.c and SUN COPYRIGHT NOTICE above\n    const\n      ivln10hi  = reinterpret<f32>(0x3EDE6000), //  4.3432617188e-01f\n      ivln10lo  = reinterpret<f32>(0xB804EAD9), // -3.1689971365e-05f\n      log10_2hi = reinterpret<f32>(0x3E9A2080), //  3.0102920532e-01f\n      log10_2lo = reinterpret<f32>(0x355427DB), //  7.9034151668e-07f\n      Lg1       = reinterpret<f32>(0x3F2AAAAA), //  0xaaaaaa.0p-24f, 0.66666662693f\n      Lg2       = reinterpret<f32>(0x3ECCCE13), //  0xccce13.0p-25f, 0.40000972152f\n      Lg3       = reinterpret<f32>(0x3E91E9EE), //  0x91e9ee.0p-25f, 0.28498786688f\n      Lg4       = reinterpret<f32>(0x3E789E26), //  0xf89e26.0p-26f, 0.24279078841f\n      Ox1p25f   = reinterpret<f32>(0x4C000000); //  0x1p25f\n\n    let ux = reinterpret<u32>(x);\n    let k = 0;\n    let sign = ux >> 31;\n    if (sign || ux < 0x00800000) {\n      if (ux << 1 == 0) return -1 / (x * x);\n      if (sign) return (x - x) / 0.0;\n      k -= 25;\n      x *= Ox1p25f;\n      ux = reinterpret<u32>(x);\n    } else if (ux >= 0x7F800000) {\n      return x;\n    } else if (ux == 0x3F800000) {\n      return 0;\n    }\n    ux += 0x3F800000 - 0x3F3504F3;\n    k += i32(ux >> 23) - 0x7F;\n    ux = (ux & 0x007FFFFF) + 0x3F3504F3;\n    x = reinterpret<f32>(ux);\n    let f = x - 1.0;\n    let s = f / (2.0 + f);\n    let z = s * s;\n    let w = z * z;\n    let t1 = w * (Lg2 + w * Lg4);\n    let t2 = z * (Lg1 + w * Lg3);\n    let r = t2 + t1;\n    let hfsq: f32 = 0.5 * f * f;\n    let hi = f - hfsq;\n    ux = reinterpret<u32>(hi);\n    ux &= 0xFFFFF000;\n    hi = reinterpret<f32>(ux);\n    let lo = f - hi - hfsq + s * (hfsq + r);\n    let dk = <f32>k;\n    return dk * log10_2lo + (lo + hi) * ivln10lo + lo * ivln10hi + hi * ivln10hi + dk * log10_2hi;\n  }\n\n  export function log1p(x: f32): f32 { // see: musl/src/math/log1pf.c and SUN COPYRIGHT NOTICE above\n    const\n      ln2_hi = reinterpret<f32>(0x3F317180), // 6.9313812256e-01\n      ln2_lo = reinterpret<f32>(0x3717F7D1), // 9.0580006145e-06\n      Lg1    = reinterpret<f32>(0x3F2AAAAA), // 0xaaaaaa.0p-24f, 0.66666662693f\n      Lg2    = reinterpret<f32>(0x3ECCCE13), // 0xccce13.0p-25f, 0.40000972152f\n      Lg3    = reinterpret<f32>(0x3E91E9EE), // 0x91e9ee.0p-25f, 0.28498786688f\n      Lg4    = reinterpret<f32>(0x3E789E26); // 0xf89e26.0p-26f, 0.24279078841f\n\n    let ix = reinterpret<u32>(x);\n    let c: f32 = 0;\n    let f: f32 = 0;\n    let k = 1;\n    if (ix < 0x3ED413D0 || bool(ix >> 31)) {\n      if (ix >= 0xBF800000) {\n        if (x == -1) return x / 0.0;\n        return (x - x) / 0.0;\n      }\n      if (ix << 1 < 0x33800000 << 1) return x;\n      if (ix <= 0xBE95F619) {\n        k = 0;\n        c = 0;\n        f = x;\n      }\n    } else if (ix >= 0x7F800000) return x;\n    if (k) {\n      let uf: f32 = 1 + x;\n      let iu = reinterpret<u32>(uf);\n      iu += 0x3F800000 - 0x3F3504F3;\n      k = i32(iu >> 23) - 0x7F;\n      if (k < 25) {\n        c = k >= 2 ? 1 - (uf - x) : x - (uf - 1);\n        c /= uf;\n      } else c = 0;\n      iu = (iu & 0x007FFFFF) + 0x3F3504F3;\n      f = reinterpret<f32>(iu) - 1;\n    }\n    let s = f / (2.0 + f);\n    let z = s * s;\n    let w = z * z;\n    let t1 = w * (Lg2 + w * Lg4);\n    let t2 = z * (Lg1 + w * Lg3);\n    let r = t2 + t1;\n    let hfsq: f32 = 0.5 * f * f;\n    let dk = <f32>k;\n    return s * (hfsq + r) + (dk * ln2_lo + c) - hfsq + f + dk * ln2_hi;\n  }\n\n  export function log2(x: f32): f32 { // see: musl/src/math/log2f.c and SUN COPYRIGHT NOTICE above\n    if (ASC_SHRINK_LEVEL < 1) {\n      return log2f_lut(x);\n    } else {\n      const\n        ivln2hi = reinterpret<f32>(0x3FB8B000), //  1.4428710938e+00f\n        ivln2lo = reinterpret<f32>(0xB9389AD4), // -1.7605285393e-04\n        Lg1     = reinterpret<f32>(0x3F2AAAAA), //  0xaaaaaa.0p-24f, 0.66666662693f\n        Lg2     = reinterpret<f32>(0x3ECCCE13), //  0xccce13.0p-25f, 0.40000972152f\n        Lg3     = reinterpret<f32>(0x3E91E9EE), //  0x91e9ee.0p-25f, 0.28498786688f\n        Lg4     = reinterpret<f32>(0x3E789E26), //  0xf89e26.0p-26f, 0.24279078841f\n        Ox1p25f = reinterpret<f32>(0x4C000000); //  0x1p25f\n\n      let ux = reinterpret<u32>(x);\n      let k = 0;\n      let sign = ux >> 31;\n      if (sign || ux < 0x00800000) {\n        if (ux << 1 == 0) return -1 / (x * x);\n        if (sign) return (x - x) / 0.0;\n        k -= 25;\n        x *= Ox1p25f;\n        ux = reinterpret<u32>(x);\n      } else if (ux >= 0x7F800000) {\n        return x;\n      } else if (ux == 0x3F800000) {\n        return 0;\n      }\n      ux += 0x3F800000 - 0x3F3504F3;\n      k += i32(ux >> 23) - 0x7F;\n      ux = (ux & 0x007FFFFF) + 0x3F3504F3;\n      x = reinterpret<f32>(ux);\n      let f = x - 1.0;\n      let s = f / (2.0 + f);\n      let z = s * s;\n      let w = z * z;\n      let t1 = w * (Lg2 + w * Lg4);\n      let t2 = z * (Lg1 + w * Lg3);\n      let r = t2 + t1;\n      let hfsq: f32 = 0.5 * f * f;\n      let hi = f - hfsq;\n      let u = reinterpret<u32>(hi);\n      u &= 0xFFFFF000;\n      hi = reinterpret<f32>(u);\n      let lo: f32 = f - hi - hfsq + s * (hfsq + r);\n      let dk = <f32>k;\n      return (lo + hi) * ivln2lo + lo * ivln2hi + hi * ivln2hi + dk;\n    }\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function max(value1: f32, value2: f32): f32 {\n    return builtin_max<f32>(value1, value2);\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function min(value1: f32, value2: f32): f32 {\n    return builtin_min<f32>(value1, value2);\n  }\n\n  export function pow(x: f32, y: f32): f32 {\n    // TODO: remove this fast pathes after introduced own mid-end IR with \"stdlib call simplify\" transforms\n    if (builtin_abs<f32>(y) <= 2) {\n      if (y == 2.0) return x * x;\n      if (y == 0.5) {\n        return select<f32>(\n          builtin_abs<f32>(builtin_sqrt<f32>(x)),\n          Infinity,\n          x != -Infinity\n        );\n      }\n      if (y == -1.0) return 1 / x;\n      if (y == 1.0) return x;\n      if (y == 0.0) return 1.0;\n    }\n    if (ASC_SHRINK_LEVEL < 1) {\n      // see: musl/src/math/powf.c\n      return powf_lut(x, y);\n    } else {\n      // based on:  jdh8/metallic/src/math/float/powf.c\n      if (y == 0) return 1;\n      // @ts-ignore: cast\n      if (isNaN(x) | isNaN(y)) {\n        return NaN;\n      }\n      let sign: u32 = 0;\n      let uy = reinterpret<u32>(y);\n      let ux = reinterpret<u32>(x);\n      let sx = ux >> 31;\n      ux &= 0x7FFFFFFF;\n      if (sx && nearest(y) == y) {\n        x = -x;\n        sx = 0;\n        sign = u32(nearest(y * 0.5) != y * 0.5) << 31;\n      }\n      let m: u32;\n      if (ux == 0x3F800000) { // x == 1\n        m = sx | u32((uy & 0x7FFFFFFF) == 0x7F800000) ? 0x7FC00000 : 0x3F800000;\n      } else if (ux == 0) {\n        m = <i32>uy < 0 ? 0x7F800000 : 0;\n      } else if (ux == 0x7F800000) {\n        m = <i32>uy < 0 ? 0 : 0x7F800000;\n      } else if (sx) {\n        m = 0x7FC00000;\n      } else {\n        m = reinterpret<u32>(<f32>exp2f(<f64>y * log2f(x)));\n      }\n      return reinterpret<f32>(m | sign);\n    }\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function seedRandom(value: i64): void {\n    NativeMath.seedRandom(value);\n  }\n\n  // Using xoroshiro64starstar from http://xoshiro.di.unimi.it/xoroshiro64starstar.c\n  export function random(): f32 {\n    if (!random_seeded) seedRandom(reinterpret<i64>(seed()));\n\n    let s0 = random_state0_32;\n    let s1 = random_state1_32;\n    let r  = rotl<u32>(s0 * 0x9E3779BB, 5) * 5;\n\n    s1 ^= s0;\n    random_state0_32 = rotl<u32>(s0, 26) ^ s1 ^ (s1 << 9);\n    random_state1_32 = rotl<u32>(s1, 13);\n\n    return reinterpret<f32>((r >> 9) | (127 << 23)) - 1.0;\n  }\n\n  export function round(x: f32): f32 {\n    if (ASC_SHRINK_LEVEL > 0) {\n      return builtin_ceil<f32>(x) - f32(builtin_ceil<f32>(x) - 0.5 > x);\n    } else {\n      let roundUp = builtin_ceil<f32>(x);\n      return select<f32>(roundUp, roundUp - 1.0, roundUp - 0.5 <= x);\n    }\n  }\n\n  export function sign(x: f32): f32 {\n    if (ASC_SHRINK_LEVEL > 0) {\n      return select<f32>(builtin_copysign<f32>(1, x), x, builtin_abs(x) > 0);\n    } else {\n      return select<f32>(1, select<f32>(-1, x, x < 0), x > 0);\n    }\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function signbit(x: f32): bool {\n    return <bool>(reinterpret<u32>(x) >>> 31);\n  }\n\n  export function sin(x: f32): f32 { // see: musl/src/math/sinf.c\n    const\n      s1pio2 = reinterpret<f64>(0x3FF921FB54442D18), // M_PI_2 * 1\n      s2pio2 = reinterpret<f64>(0x400921FB54442D18), // M_PI_2 * 2\n      s3pio2 = reinterpret<f64>(0x4012D97C7F3321D2), // M_PI_2 * 3\n      s4pio2 = reinterpret<f64>(0x401921FB54442D18); // M_PI_2 * 4\n\n    let ux = reinterpret<u32>(x);\n    let sign = ux >> 31;\n    ux &= 0x7FFFFFFF;\n\n    if (ux <= 0x3F490FDA) {  // |x| ~<= π/4\n      if (ux < 0x39800000) { // |x| < 2**-12\n        return x;\n      }\n      return sin_kernf(x);\n    }\n\n    if (ASC_SHRINK_LEVEL < 1) {\n      if (ux <= 0x407B53D1) {   // |x| ~<= 5π/4\n        if (ux <= 0x4016CBE3) { // |x| ~<= 3π/4\n          return sign ? -cos_kernf(x + s1pio2) : cos_kernf(x - s1pio2);\n        }\n        return sin_kernf(-(sign ? x + s2pio2 : x - s2pio2));\n      }\n\n      if (ux <= 0x40E231D5) {   // |x| ~<= 9π/4\n        if (ux <= 0x40AFEDDF) { // |x| ~<= 7π/4\n          return sign ? cos_kernf(x + s3pio2) : -cos_kernf(x - s3pio2);\n        }\n        return sin_kernf(sign ? x + s4pio2 : x - s4pio2);\n      }\n    }\n\n    // sin(Inf or NaN) is NaN\n    if (ux >= 0x7F800000) return x - x;\n\n    let n = rempio2f(x, ux, sign);\n    let y = rempio2f_y;\n\n    let t = n & 1 ? cos_kernf(y) : sin_kernf(y);\n    return n & 2 ? -t : t;\n  }\n\n  export function sinh(x: f32): f32 { // see: musl/src/math/sinhf.c\n    let u = reinterpret<u32>(x) & 0x7FFFFFFF;\n    let a = reinterpret<f32>(u);\n    let h = builtin_copysign<f32>(0.5, x);\n    if (u < 0x42B17217) {\n      let t = expm1(a);\n      if (u < 0x3F800000) {\n        if (u < 0x3F800000 - (12 << 23)) return x;\n        return h * (2 * t - t * t / (t + 1));\n      }\n      return h * (t + t / (t + 1));\n    }\n    return expo2f(a, 2 * h);\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function sqrt(x: f32): f32 {\n    return builtin_sqrt<f32>(x);\n  }\n\n  export function tan(x: f32): f32 { // see: musl/src/math/tanf.c\n    const\n      t1pio2 = reinterpret<f64>(0x3FF921FB54442D18), // 1 * M_PI_2\n      t2pio2 = reinterpret<f64>(0x400921FB54442D18), // 2 * M_PI_2\n      t3pio2 = reinterpret<f64>(0x4012D97C7F3321D2), // 3 * M_PI_2\n      t4pio2 = reinterpret<f64>(0x401921FB54442D18); // 4 * M_PI_2\n\n    let ux = reinterpret<u32>(x);\n    let sign = ux >> 31;\n    ux &= 0x7FFFFFFF;\n\n    if (ux <= 0x3F490FDA) {  // |x| ~<= π/4\n      if (ux < 0x39800000) { // |x| < 2**-12\n        return x;\n      }\n      return tan_kernf(x, 0);\n    }\n\n    if (ASC_SHRINK_LEVEL < 1) {\n      if (ux <= 0x407B53D1) {   // |x| ~<= 5π/4\n        if (ux <= 0x4016CBE3) { // |x| ~<= 3π/4\n          return tan_kernf((sign ? x + t1pio2 : x - t1pio2), 1);\n        } else {\n          return tan_kernf((sign ? x + t2pio2 : x - t2pio2), 0);\n        }\n      }\n      if (ux <= 0x40E231D5) {   // |x| ~<= 9π/4\n        if (ux <= 0x40AFEDDF) { // |x| ~<= 7π/4\n          return tan_kernf((sign ? x + t3pio2 : x - t3pio2), 1);\n        } else {\n          return tan_kernf((sign ? x + t4pio2 : x - t4pio2), 0);\n        }\n      }\n    }\n\n    // tan(Inf or NaN) is NaN\n    if (ux >= 0x7F800000) return x - x;\n\n    // argument reduction\n    let n = rempio2f(x, ux, sign);\n    let y = rempio2f_y;\n    return tan_kernf(y, n & 1);\n  }\n\n  export function tanh(x: f32): f32 { // see: musl/src/math/tanhf.c\n    let u = reinterpret<u32>(x);\n    u &= 0x7FFFFFFF;\n    let y = reinterpret<f32>(u);\n    let t: f32;\n    if (u > 0x3F0C9F54) {\n      if (u > 0x41200000) t = 1 + 0 / y;\n      else {\n        t = expm1(2 * y);\n        t = 1 - 2 / (t + 2);\n      }\n    } else if (u > 0x3E82C578) {\n      t = expm1(2 * y);\n      t = t / (t + 2);\n    } else if (u >= 0x00800000) {\n      t = expm1(-2 * y);\n      t = -t / (t + 2);\n    } else t = y;\n    return builtin_copysign<f32>(t, x);\n  }\n\n  // @ts-ignore: decorator\n  @inline\n  export function trunc(x: f32): f32 {\n    return builtin_trunc<f32>(x);\n  }\n\n  export function scalbn(x: f32, n: i32): f32 { // see: https://git.musl-libc.org/cgit/musl/tree/src/math/scalbnf.c\n    const\n      Ox1p24f   = reinterpret<f32>(0x4B800000),\n      Ox1p127f  = reinterpret<f32>(0x7F000000),\n      Ox1p_126f = reinterpret<f32>(0x00800000);\n\n    let y = x;\n    if (n > 127) {\n      y *= Ox1p127f;\n      n -= 127;\n      if (n > 127) {\n        y *= Ox1p127f;\n        n = builtin_min<i32>(n - 127, 127);\n      }\n    } else if (n < -126) {\n      y *= Ox1p_126f * Ox1p24f;\n      n += 126 - 24;\n      if (n < -126) {\n        y *= Ox1p_126f * Ox1p24f;\n        n = builtin_max<i32>(n + 126 - 24, -126);\n      }\n    }\n    return y * reinterpret<f32>(<u32>(0x7F + n) << 23);\n  }\n\n  export function mod(x: f32, y: f32): f32 { // see: musl/src/math/fmodf.c\n    if (builtin_abs<f32>(y) == 1.0) {\n      // x % 1, x % -1  ==>  sign(x) * abs(x - 1.0 * trunc(x / 1.0))\n      // TODO: move this rule to compiler's optimization pass.\n      // It could be apply for any x % C_pot, where \"C_pot\" is pow of two const.\n      return builtin_copysign<f32>(x - builtin_trunc<f32>(x), x);\n    }\n    let ux = reinterpret<u32>(x);\n    let uy = reinterpret<u32>(y);\n    let ex = i32(ux >> 23 & 0xFF);\n    let ey = i32(uy >> 23 & 0xFF);\n    let sm = ux & 0x80000000;\n    let uy1 = uy << 1;\n    if (uy1 == 0 || ex == 0xFF || isNaN<f32>(y)) {\n      let m = x * y;\n      return m / m;\n    }\n    let ux1 = ux << 1;\n    if (ux1 <= uy1) {\n      return x * f32(ux1 != uy1);\n    }\n    if (!ex) {\n      ex -= builtin_clz<u32>(ux << 9);\n      ux <<= 1 - ex;\n    } else {\n      ux &= <u32>-1 >> 9;\n      ux |= 1 << 23;\n    }\n    if (!ey) {\n      ey -= builtin_clz<u32>(uy << 9);\n      uy <<= 1 - ey;\n    } else {\n      uy &= u32(-1) >> 9;\n      uy |= 1 << 23;\n    }\n    while (ex > ey) {\n      if (ux >= uy) {\n        if (ux == uy) return 0 * x;\n        ux -= uy;\n      }\n      ux <<= 1;\n      --ex;\n    }\n    if (ux >= uy) {\n      if (ux == uy) return 0 * x;\n      ux -= uy;\n    }\n    // for (; !(ux >> 23); ux <<= 1) --ex;\n    let shift = <i32>builtin_clz<u32>(ux << 8);\n    ex -= shift;\n    ux <<= shift;\n    if (ex > 0) {\n      ux -= 1 << 23;\n      ux |= <u32>ex << 23;\n    } else {\n      ux >>= -ex + 1;\n    }\n    return reinterpret<f32>(ux | sm);\n  }\n\n  export function rem(x: f32, y: f32): f32 { // see: musl/src/math/remquof.c\n    let ux = reinterpret<u32>(x);\n    let uy = reinterpret<u32>(y);\n    let ex = i32(ux >> 23 & 0xFF);\n    let ey = i32(uy >> 23 & 0xFF);\n    let uxi = ux;\n    if (uy << 1 == 0 || ex == 0xFF || isNaN(y)) return (x * y) / (x * y);\n    if (ux << 1 == 0) return x;\n    if (!ex) {\n      ex -= builtin_clz<u32>(uxi << 9);\n      uxi <<= 1 - ex;\n    } else {\n      uxi &= u32(-1) >> 9;\n      uxi |= 1 << 23;\n    }\n    if (!ey) {\n      ey -= builtin_clz<u32>(uy << 9);\n      uy <<= 1 - ey;\n    } else {\n      uy &= u32(-1) >> 9;\n      uy |= 1 << 23;\n    }\n    let q = 0;\n    do {\n      if (ex < ey) {\n        if (ex + 1 == ey) break; // goto end\n        return x;\n      }\n      while (ex > ey) {\n        if (uxi >= uy) {\n          uxi -= uy;\n          ++q;\n        }\n        uxi <<= 1;\n        q <<= 1;\n        --ex;\n      }\n      if (uxi >= uy) {\n        uxi -= uy;\n        ++q;\n      }\n      if (uxi == 0) ex = -30;\n      else {\n        let shift = builtin_clz<i32>(uxi << 8);\n        ex -= shift;\n        uxi <<= shift;\n      }\n      break;\n    } while (false);\n    // end:\n    if (ex > 0) {\n      uxi -= 1 << 23;\n      uxi |= <u32>ex << 23;\n    } else {\n      uxi >>= -ex + 1;\n    }\n    x = reinterpret<f32>(uxi);\n    y = builtin_abs<f32>(y);\n    let x2 = x + x;\n    if (ex == ey || (ex + 1 == ey && (<f32>x2 > y || (<f32>x2 == y && bool(q & 1))))) {\n      x -= y;\n      // q++;\n    }\n    return <i32>ux < 0 ? -x : x;\n  }\n\n  export function sincos(x: f32): void { // see: musl/tree/src/math/sincosf.c\n    const\n      s1pio2 = reinterpret<f64>(0x3FF921FB54442D18), // 1 * M_PI_2\n      s2pio2 = reinterpret<f64>(0x400921FB54442D18), // 2 * M_PI_2\n      s3pio2 = reinterpret<f64>(0x4012D97C7F3321D2), // 3 * M_PI_2\n      s4pio2 = reinterpret<f64>(0x401921FB54442D18); // 4 * M_PI_2\n\n    let ux = reinterpret<u32>(x);\n    let sign = ux >> 31;\n    ux &= 0x7FFFFFFF;\n\n    if (ux <= 0x3F490FDA) {  // |x| ~<= π/4\n      if (ux < 0x39800000) { // |x| < 2**-12\n        sincos_sin = x;\n        sincos_cos = 1;\n        return;\n      }\n      sincos_sin = sin_kernf(x);\n      sincos_cos = cos_kernf(x);\n      return;\n    }\n    if (ASC_SHRINK_LEVEL < 1) {\n      if (ux <= 0x407B53D1) {   // |x| ~<= 5π/4\n        if (ux <= 0x4016CBE3) { // |x| ~<= 3π/4\n          if (sign) {\n            sincos_sin = -cos_kernf(x + s1pio2);\n            sincos_cos =  sin_kernf(x + s1pio2);\n          } else {\n            sincos_sin = cos_kernf(s1pio2 - x);\n            sincos_cos = sin_kernf(s1pio2 - x);\n          }\n          return;\n        }\n        // -sin(x + c) is not correct if x+c could be 0: -0 vs +0\n        sincos_sin = -sin_kernf(sign ? x + s2pio2 : x - s2pio2);\n        sincos_cos = -cos_kernf(sign ? x + s2pio2 : x - s2pio2);\n        return;\n      }\n      if (ux <= 0x40E231D5) {   // |x| ~<= 9π/4\n        if (ux <= 0x40AFEDDF) { // |x| ~<= 7π/4\n          if (sign) {\n            sincos_sin =  cos_kernf(x + s3pio2);\n            sincos_cos = -sin_kernf(x + s3pio2);\n          } else {\n            sincos_sin = -cos_kernf(x - s3pio2);\n            sincos_cos =  sin_kernf(x - s3pio2);\n          }\n          return;\n        }\n        sincos_sin = sin_kernf(sign ? x + s4pio2 : x - s4pio2);\n        sincos_cos = cos_kernf(sign ? x + s4pio2 : x - s4pio2);\n        return;\n      }\n    }\n    // sin(Inf or NaN) is NaN\n    if (ux >= 0x7F800000) {\n      let xx = x - x;\n      sincos_sin = xx;\n      sincos_cos = xx;\n      return;\n    }\n    // general argument reduction needed\n    let n = rempio2f(x, ux, sign);\n    let y = rempio2f_y;\n    let s = sin_kernf(y);\n    let c = cos_kernf(y);\n    let sin = s, cos = c;\n    if (n & 1) {\n      sin =  c;\n      cos = -s;\n    }\n    if (n & 2) {\n      sin = -sin;\n      cos = -cos;\n    }\n    sincos_sin = sin;\n    sincos_cos = cos;\n  }\n}\n\nexport function ipow32(x: i32, e: i32): i32 {\n  let out = 1;\n  if (ASC_SHRINK_LEVEL < 1) {\n    if (x == 2) {\n      return select<i32>(1 << e, 0, <u32>e < 32);\n    }\n    if (e <= 0) {\n      if (x == -1) return select<i32>(-1, 1, e & 1);\n      return i32(e == 0) | i32(x == 1);\n    }\n    else if (e == 1) return x;\n    else if (e == 2) return x * x;\n    else if (e < 32) {\n      let log = 32 - clz(e);\n      // 32 = 2 ^ 5, so need only five cases.\n      // But some extra cases needs for properly overflowing\n      switch (log) {\n        case 5: {\n          if (e & 1) out *= x;\n          e >>>= 1;\n          x *= x;\n        }\n        case 4: {\n          if (e & 1) out *= x;\n          e >>>= 1;\n          x *= x;\n        }\n        case 3: {\n          if (e & 1) out *= x;\n          e >>>= 1;\n          x *= x;\n        }\n        case 2: {\n          if (e & 1) out *= x;\n          e >>>= 1;\n          x *= x;\n        }\n        case 1: {\n          if (e & 1) out *= x;\n        }\n      }\n      return out;\n    }\n  }\n  while (e) {\n    if (e & 1) out *= x;\n    e >>>= 1;\n    x *= x;\n  }\n  return out;\n}\n\nexport function ipow64(x: i64, e: i64): i64 {\n  let out: i64 = 1;\n  if (ASC_SHRINK_LEVEL < 1) {\n    if (x == 2) {\n      return select<i64>(1 << e, 0, <u64>e < 64);\n    }\n    if (e <= 0) {\n      if (x == -1) return select<i64>(-1, 1, e & 1);\n      return i64(e == 0) | i64(x == 1);\n    }\n    else if (e == 1) return x;\n    else if (e == 2) return x * x;\n    else if (e < 64) {\n      let log = 64 - <i32>clz(e);\n      // 64 = 2 ^ 6, so need only six cases.\n      // But some extra cases needs for properly overflowing\n      switch (log) {\n        case 6: {\n          if (e & 1) out *= x;\n          e >>>= 1;\n          x *= x;\n        }\n        case 5: {\n          if (e & 1) out *= x;\n          e >>>= 1;\n          x *= x;\n        }\n        case 4: {\n          if (e & 1) out *= x;\n          e >>>= 1;\n          x *= x;\n        }\n        case 3: {\n          if (e & 1) out *= x;\n          e >>>= 1;\n          x *= x;\n        }\n        case 2: {\n          if (e & 1) out *= x;\n          e >>>= 1;\n          x *= x;\n        }\n        case 1: {\n          if (e & 1) out *= x;\n        }\n      }\n      return out;\n    }\n  }\n  while (e) {\n    if (e & 1) out *= x;\n    e >>>= 1;\n    x *= x;\n  }\n  return out;\n}\n\n/*\nTODO:\nIn compile time if only exponent is constant we could replace ipow32/ipow64 by shortest addition chains\nwhich usually faster than exponentiation by squaring\n\nfor ipow32 and e < 32:\n\nlet b: i32, c: i32, d: i32, h: i32, k: i32, g: i32;\nswitch (e) {\n  case  1: return x;\n  case  2: return x * x;\n  case  3: return x * x * x;\n  case  4: return (b = x * x) * b;\n  case  5: return (b = x * x) * b * x;\n  case  6: return (b = x * x) * b * b;\n  case  7: return (b = x * x) * b * b * x;\n  case  8: return (d = (b = x * x) * b) * d;\n  case  9: return (c = x * x * x) * c * c;\n  case 10: return (d = (b = x * x) * b) * d * b;\n  case 11: return (d = (b = x * x) * b) * d * b * x;\n  case 12: return (d = (b = x * x) * b) * d * d;\n  case 13: return (d = (b = x * x) * b) * d * d * x;\n  case 14: return (d = (b = x * x) * b) * d * d * b;\n  case 15: return (k = (b = x * x) * b * x) * k * k;\n  case 16: return (h = (d = (b = x * x) * b) * d) * h;\n  case 17: return (h = (d = (b = x * x) * b) * d) * h * x;\n  case 18: return (h = (d = (b = x * x) * b) * d * x) * h;\n  case 19: return (h = (d = (b = x * x) * b) * d * x) * h * x;\n  case 20: return (h = (k = (b = x * x) * b * x) * k) * h;\n  case 21: return (h = (k = (b = x * x) * b * x) * k) * h * x;\n  case 22: return (g = (h = (k = (b = x * x) * b * x) * k) * x) * g;\n  case 23: return (h = (d = (c = (b = x * x) * x) * b) * d) * h * c;\n  case 24: return (h = (d = (c = x * x * x) * c) * d) * h;\n  case 25: return (h = (d = (c = x * x * x) * c) * d) * h * x;\n  case 26: return (g = (h = (d = (c = x * x * x) * c) * d) * x) * g;\n  case 27: return (h = (d = (c = x * x * x) * c) * d) * h * c;\n  case 28: return (h = (d = (c = x * x * x) * c * x) * d) * h;\n  case 29: return (h = (d = (c = x * x * x) * c * x) * d) * h * x;\n  case 30: return (h = (d = (c = x * x * x) * c) * d * c) * h;\n  case 31: return (h = (d = (c = x * x * x) * c) * d * c) * h * x;\n}\n\nfor ipow64: TODO\nswitch (e) {\n  case 32:\n  ...\n  case 63:\n}\n*/\n","import { memcmp, memmove, memset } from \"./util/memory\";\nimport { E_NOTIMPLEMENTED } from \"./util/error\";\n\n/** Memory manager interface. */\nexport namespace memory {\n\n  /** Gets the size of the memory in pages. */\n  // @ts-ignore: decorator\n  @builtin\n  export declare function size(): i32;\n\n  /** Grows the memory by the given size in pages and returns the previous size in pages. */\n  // @ts-ignore: decorator\n  @unsafe @builtin\n  export declare function grow(pages: i32): i32;\n\n  /** Fills a section in memory with the specified byte value. */\n  // @ts-ignore: decorator\n  @unsafe @builtin\n  export function fill(dst: usize, c: u8, n: usize): void {\n    memset(dst, c, n); // fallback if \"bulk-memory\" isn't enabled\n  }\n\n  /** Copies a section of memory to another. Has move semantics. */\n  // @ts-ignore: decorator\n  @unsafe @builtin\n  export function copy(dst: usize, src: usize, n: usize): void {\n    memmove(dst, src, n); // fallback if \"bulk-memory\" isn't enabled\n  }\n\n  export namespace atomic {\n\n    // @ts-ignore: decorator\n    @unsafe @builtin\n    export declare function wait32(ptr: usize, expected: i32, timeout: i64): AtomicWaitResult;\n\n    // @ts-ignore: decorator\n    @unsafe @builtin\n    export declare function wait64(ptr: usize, expected: i64, timeout: i64): AtomicWaitResult;\n  }\n\n  /** Initializes a memory segment. */\n  // @ts-ignore: decorator\n  @unsafe\n  export function init(segmentIndex: u32, srcOffset: usize, dstOffset: usize, n: usize): void {\n    throw new Error(E_NOTIMPLEMENTED);\n  }\n\n  /** Drops a memory segment. */\n  // @ts-ignore: decorator\n  @unsafe\n  export function drop(segmentIndex: u32): void {\n    throw new Error(E_NOTIMPLEMENTED);\n  }\n\n  /** Repeats a section of memory at a specific address. */\n  // @ts-ignore: decorator\n  @unsafe\n  export function repeat(dst: usize, src: usize, srcLength: usize, count: usize): void {\n    let index: usize = 0;\n    let total = srcLength * count;\n    while (index < total) {\n      memory.copy(dst + index, src, srcLength);\n      index += srcLength;\n    }\n  }\n\n  /** Compares a section of memory to another. */\n  // @ts-ignore: decorator\n  @inline\n  export function compare(vl: usize, vr: usize, n: usize): i32 {\n    return memcmp(vl, vr, n);\n  }\n\n  /** Gets a pointer to a static chunk of memory of the given size. */\n  // @ts-ignore: decorator\n  @builtin\n  export declare function data<T>(size: T, align?: i32): usize;\n}\n\n// @ts-ignore: decorator\n@builtin\nexport declare const __data_end: usize;\n\n// @ts-ignore: decorator\n@builtin\nexport declare let __stack_pointer: usize;\n\n// @ts-ignore: decorator\n@builtin\nexport declare const __heap_base: usize;\n\n/** Heap memory interface. */\nexport namespace heap {\n\n  /** Allocates a chunk of memory of at least the specified size. */\n  // @ts-ignore: decorator\n  @unsafe export function alloc(size: usize): usize {\n    return __alloc(size);\n  }\n\n  /** Reallocates a chunk of memory to have at least the specified size. */\n  // @ts-ignore: decorator\n  @unsafe export function realloc(ptr: usize, size: usize): usize {\n    return __realloc(ptr, size);\n  }\n\n  /** Frees a chunk of memory. Does hardly anything (most recent block only) with the stub runtime. */\n  // @ts-ignore: decorator\n  @unsafe export function free(ptr: usize): void {\n    __free(ptr);\n  }\n\n  /** Dangerously resets the entire heap. Specific to the stub runtime. */\n  // @ts-ignore: decorator\n  @unsafe export function reset(): void {\n    if (isDefined(__reset)) {\n      __reset();\n    } else {\n      throw new Error(E_NOTIMPLEMENTED);\n    }\n  }\n}\n","import { AL_MASK, OBJECT, OBJECT_OVERHEAD, BLOCK_MAXSIZE, BLOCK_OVERHEAD, BLOCK, OBJECT_MAXSIZE } from \"./common\";\nimport { E_ALLOCATION_TOO_LARGE } from \"../util/error\";\n\n// === A minimal runtime stub ===\n\n// @ts-ignore: decorator\n@lazy let startOffset: usize = ((__heap_base + BLOCK_OVERHEAD + AL_MASK) & ~AL_MASK) - BLOCK_OVERHEAD;\n// @ts-ignore: decorator\n@lazy let offset: usize = startOffset;\n\nfunction maybeGrowMemory(newOffset: usize): void {\n  // assumes newOffset is aligned\n  let pagesBefore = memory.size();\n  let maxOffset = ((<usize>pagesBefore << 16) + AL_MASK) & ~AL_MASK;\n  if (newOffset > maxOffset) {\n    let pagesNeeded = <i32>(((newOffset - maxOffset + 0xffff) & ~0xffff) >>> 16);\n    let pagesWanted = max(pagesBefore, pagesNeeded); // double memory\n    if (memory.grow(pagesWanted) < 0) {\n      if (memory.grow(pagesNeeded) < 0) unreachable(); // out of memory\n    }\n  }\n  offset = newOffset;\n}\n\n// @ts-ignore: decorator\n@inline function computeSize(size: usize): usize {\n  return ((size + BLOCK_OVERHEAD + AL_MASK) & ~AL_MASK) - BLOCK_OVERHEAD;\n}\n\n// @ts-ignore: decorator\n@unsafe @global\nexport function __alloc(size: usize): usize {\n  if (size > BLOCK_MAXSIZE) throw new Error(E_ALLOCATION_TOO_LARGE);\n  let block = changetype<BLOCK>(offset);\n  let ptr = offset + BLOCK_OVERHEAD;\n  let payloadSize = computeSize(size);\n  maybeGrowMemory(ptr + payloadSize);\n  block.mmInfo = payloadSize;\n  return ptr;\n}\n\n// @ts-ignore: decorator\n@unsafe @global\nexport function __realloc(ptr: usize, size: usize): usize {\n  assert(ptr != 0 && !(ptr & AL_MASK)); // must exist and be aligned\n  let block = changetype<BLOCK>(ptr - BLOCK_OVERHEAD);\n  let actualSize = block.mmInfo;\n  let isLast = ptr + actualSize == offset;\n  let payloadSize = computeSize(size);\n  if (size > actualSize) {\n    if (isLast) { // last block: grow\n      if (size > BLOCK_MAXSIZE) throw new Error(E_ALLOCATION_TOO_LARGE);\n      maybeGrowMemory(ptr + payloadSize);\n      block.mmInfo = payloadSize;\n    } else { // copy to new block at least double the size\n      let newPtr = __alloc(max<usize>(payloadSize, actualSize << 1));\n      memory.copy(newPtr, ptr, actualSize);\n      block = changetype<BLOCK>((ptr = newPtr) - BLOCK_OVERHEAD);\n    }\n  } else if (isLast) { // last block: shrink\n    offset = ptr + payloadSize;\n    block.mmInfo = payloadSize;\n  }\n  return ptr;\n}\n\n// @ts-ignore: decorator\n@unsafe @global\nexport function __free(ptr: usize): void {\n  assert(ptr != 0 && !(ptr & AL_MASK)); // must exist and be aligned\n  let block = changetype<BLOCK>(ptr - BLOCK_OVERHEAD);\n  if (ptr + block.mmInfo == offset) { // last block: discard\n    offset = changetype<usize>(block);\n  }\n}\n\n// @ts-ignore: decorator\n@unsafe @global\nexport function __reset(): void { // special\n  offset = startOffset;\n}\n\n// @ts-ignore: decorator\n@unsafe @global\nexport function __new(size: usize, id: u32): usize {\n  if (size > OBJECT_MAXSIZE) throw new Error(E_ALLOCATION_TOO_LARGE);\n  let ptr = __alloc(OBJECT_OVERHEAD + size);\n  let object = changetype<OBJECT>(ptr - BLOCK_OVERHEAD);\n  object.gcInfo = 0;\n  object.gcInfo2 = 0;\n  object.rtId = id;\n  object.rtSize = <u32>size;\n  return ptr + OBJECT_OVERHEAD;\n}\n\n// @ts-ignore: decorator\n@unsafe @global\nexport function __renew(oldPtr: usize, size: usize): usize {\n  if (size > OBJECT_MAXSIZE) throw new Error(E_ALLOCATION_TOO_LARGE);\n  let newPtr = __realloc(oldPtr - OBJECT_OVERHEAD, OBJECT_OVERHEAD + size);\n  changetype<OBJECT>(newPtr - BLOCK_OVERHEAD).rtSize = <u32>size;\n  return newPtr + OBJECT_OVERHEAD;\n}\n\n// @ts-ignore: decorator\n@global @unsafe\nexport function __link(parentPtr: usize, childPtr: usize, expectMultiple: bool): void {\n  // nop\n}\n\n// @ts-ignore: decorator\n@global @unsafe\nexport function __pin(ptr: usize): usize {\n  return ptr;\n}\n\n// @ts-ignore: decorator\n@global @unsafe\nexport function __unpin(ptr: usize): void {\n  // nop\n}\n\n// @ts-ignore: decorator\n@global @unsafe\nfunction __visit(ptr: usize, cookie: u32): void { // eslint-disable-line @typescript-eslint/no-unused-vars\n  // nop\n}\n\n// @ts-ignore: decorator\n@global @unsafe\nexport function __collect(): void {\n  // nop\n}\n","// Common error messages for use across the standard library. Keeping error messages compact\n// and reusing them where possible ensures minimal static data in binaries.\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_INDEXOUTOFRANGE: string = \"Index out of range\";\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_VALUEOUTOFRANGE: string = \"Value out of range\";\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_INVALIDLENGTH: string = \"Invalid length\";\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_EMPTYARRAY: string = \"Array is empty\";\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_HOLEYARRAY: string = \"Element type must be nullable if array is holey\";\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_NOTIMPLEMENTED: string = \"Not implemented\";\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_KEYNOTFOUND: string = \"Key does not exist\";\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_ALLOCATION_TOO_LARGE: string = \"Allocation too large\";\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_ALREADY_PINNED: string = \"Object already pinned\";\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_NOT_PINNED: string = \"Object is not pinned\";\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_URI_MALFORMED: string = \"URI malformed\";\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_INVALIDDATE: string = \"Invalid Date\";\n\n// @ts-ignore: decorator\n@lazy @inline\nexport const E_UNPAIRED_SURROGATE: string = \"Unpaired surrogate\";\n"]}