# # # Nim's Runtime Library # (c) Copyright 2012 Andreas Rumpf # # See the file "copying.txt", included in this # distribution, for details about the copyright. # ## Contains the used algorithms for counting bits. from std/private/bitops_utils import forwardImpl, castToUnsigned const useBuiltins* = not defined(noIntrinsicsBitOpts) const noUndefined* = defined(noUndefinedBitOpts) const useGCC_builtins* = (defined(gcc) or defined(llvm_gcc) or defined(clang)) and useBuiltins const useICC_builtins* = defined(icc) and useBuiltins const useVCC_builtins* = defined(vcc) and useBuiltins const arch64* = sizeof(int) == 8 template countBitsImpl(n: uint32): int = # generic formula is from: https://graphics.stanford.edu/~seander/bithacks.html#CountBitsSetParallel var v = uint32(n) v = v - ((v shr 1'u32) and 0x55555555'u32) v = (v and 0x33333333'u32) + ((v shr 2'u32) and 0x33333333'u32) (((v + (v shr 4'u32) and 0xF0F0F0F'u32) * 0x1010101'u32) shr 24'u32).int template countBitsImpl(n: uint64): int = # generic formula is from: https://graphics.stanford.edu/~seander/bithacks.html#CountBitsSetParallel var v = uint64(n) v = v - ((v shr 1'u64) and 0x5555555555555555'u64) v = (v and 0x3333333333333333'u64) + ((v shr 2'u64) and 0x3333333333333333'u64) v = (v + (v shr 4'u64) and 0x0F0F0F0F0F0F0F0F'u64) ((v * 0x0101010101010101'u64) shr 56'u64).int when useGCC_builtins: # Returns the number of set 1-bits in value. proc builtin_popcount(x: cuint): cint {.importc: "__builtin_popcount", cdecl.} proc builtin_popcountll(x: culonglong): cint {. importc: "__builtin_popcountll", cdecl.} elif useVCC_builtins: # Counts the number of one bits (population count) in a 16-, 32-, or 64-byte unsigned integer. func builtin_popcnt16(a2: uint16): uint16 {. importc: "__popcnt16", header: "".} func builtin_popcnt32(a2: uint32): uint32 {. importc: "__popcnt", header: "".} func builtin_popcnt64(a2: uint64): uint64 {. importc: "__popcnt64", header: "".} elif useICC_builtins: # Intel compiler intrinsics: http://fulla.fnal.gov/intel/compiler_c/main_cls/intref_cls/common/intref_allia_misc.htm # see also: https://software.intel.com/en-us/node/523362 # Count the number of bits set to 1 in an integer a, and return that count in dst. func builtin_popcnt32(a: cint): cint {. importc: "_popcnt", header: "".} func builtin_popcnt64(a: uint64): cint {. importc: "_popcnt64", header: "".} func countSetBitsImpl*(x: SomeInteger): int {.inline.} = ## Counts the set bits in an integer (also called `Hamming weight`:idx:). # TODO: figure out if ICC support _popcnt32/_popcnt64 on platform without POPCNT. # like GCC and MSVC let x = x.castToUnsigned when nimvm: result = forwardImpl(countBitsImpl, x) else: when useGCC_builtins: when sizeof(x) <= 4: result = builtin_popcount(x.cuint).int else: result = builtin_popcountll(x.culonglong).int elif useVCC_builtins: when sizeof(x) <= 2: result = builtin_popcnt16(x.uint16).int elif sizeof(x) <= 4: result = builtin_popcnt32(x.uint32).int elif arch64: result = builtin_popcnt64(x.uint64).int else: result = builtin_popcnt32((x.uint64 and 0xFFFFFFFF'u64).uint32).int + builtin_popcnt32((x.uint64 shr 32'u64).uint32).int elif useICC_builtins: when sizeof(x) <= 4: result = builtin_popcnt32(x.cint).int elif arch64: result = builtin_popcnt64(x.uint64).int else: result = builtin_popcnt32((x.uint64 and 0xFFFFFFFF'u64).cint).int + builtin_popcnt32((x.uint64 shr 32'u64).cint).int else: when sizeof(x) <= 4: result = countBitsImpl(x.uint32) else: result = countBitsImpl(x.uint64) proc countBits32*(n: uint32): int {.compilerproc, inline.} = result = countSetBitsImpl(n) proc countBits64*(n: uint64): int {.compilerproc, inline.} = result = countSetBitsImpl(n)