# comparison operators: proc `==`*[Enum: enum](x, y: Enum): bool {.magic: "EqEnum", noSideEffect.} = ## Checks whether values within the *same enum* have the same underlying value. runnableExamples: type Enum1 = enum field1 = 3, field2 Enum2 = enum place1, place2 = 3 var e1 = field1 e2 = Enum1(place2) assert e1 == e2 assert not compiles(e1 == place2) # raises error proc `==`*(x, y: pointer): bool {.magic: "EqRef", noSideEffect.} = ## Checks for equality between two `pointer` variables. runnableExamples: var # this is a wildly dangerous example a = cast[pointer](0) b = cast[pointer](nil) assert a == b # true due to the special meaning of `nil`/0 as a pointer proc `==`*(x, y: string): bool {.magic: "EqStr", noSideEffect.} ## Checks for equality between two `string` variables. proc `==`*(x, y: char): bool {.magic: "EqCh", noSideEffect.} ## Checks for equality between two `char` variables. proc `==`*(x, y: bool): bool {.magic: "EqB", noSideEffect.} ## Checks for equality between two `bool` variables. proc `==`*[T](x, y: set[T]): bool {.magic: "EqSet", noSideEffect.} = ## Checks for equality between two variables of type `set`. runnableExamples: assert {1, 2, 2, 3} == {1, 2, 3} # duplication in sets is ignored proc `==`*[T](x, y: ref T): bool {.magic: "EqRef", noSideEffect.} ## Checks that two `ref` variables refer to the same item. proc `==`*[T](x, y: ptr T): bool {.magic: "EqRef", noSideEffect.} ## Checks that two `ptr` variables refer to the same item. proc `==`*[T: proc](x, y: T): bool {.magic: "EqProc", noSideEffect.} ## Checks that two `proc` variables refer to the same procedure. proc `<=`*[Enum: enum](x, y: Enum): bool {.magic: "LeEnum", noSideEffect.} proc `<=`*(x, y: string): bool {.magic: "LeStr", noSideEffect.} = ## Compares two strings and returns true if `x` is lexicographically ## before `y` (uppercase letters come before lowercase letters). runnableExamples: let a = "abc" b = "abd" c = "ZZZ" assert a <= b assert a <= a assert not (a <= c) proc `<=`*(x, y: char): bool {.magic: "LeCh", noSideEffect.} = ## Compares two chars and returns true if `x` is lexicographically ## before `y` (uppercase letters come before lowercase letters). runnableExamples: let a = 'a' b = 'b' c = 'Z' assert a <= b assert a <= a assert not (a <= c) proc `<=`*[T](x, y: set[T]): bool {.magic: "LeSet", noSideEffect.} = ## Returns true if `x` is a subset of `y`. ## ## A subset `x` has all of its members in `y` and `y` doesn't necessarily ## have more members than `x`. That is, `x` can be equal to `y`. runnableExamples: let a = {3, 5} b = {1, 3, 5, 7} c = {2} assert a <= b assert a <= a assert not (a <= c) proc `<=`*(x, y: bool): bool {.magic: "LeB", noSideEffect.} proc `<=`*[T](x, y: ref T): bool {.magic: "LePtr", noSideEffect.} proc `<=`*(x, y: pointer): bool {.magic: "LePtr", noSideEffect.} proc `<`*[Enum: enum](x, y: Enum): bool {.magic: "LtEnum", noSideEffect.} proc `<`*(x, y: string): bool {.magic: "LtStr", noSideEffect.} = ## Compares two strings and returns true if `x` is lexicographically ## before `y` (uppercase letters come before lowercase letters). runnableExamples: let a = "abc" b = "abd" c = "ZZZ" assert a < b assert not (a < a) assert not (a < c) proc `<`*(x, y: char): bool {.magic: "LtCh", noSideEffect.} = ## Compares two chars and returns true if `x` is lexicographically ## before `y` (uppercase letters come before lowercase letters). runnableExamples: let a = 'a' b = 'b' c = 'Z' assert a < b assert not (a < a) assert not (a < c) proc `<`*[T](x, y: set[T]): bool {.magic: "LtSet", noSideEffect.} = ## Returns true if `x` is a strict or proper subset of `y`. ## ## A strict or proper subset `x` has all of its members in `y` but `y` has ## more elements than `y`. runnableExamples: let a = {3, 5} b = {1, 3, 5, 7} c = {2} assert a < b assert not (a < a) assert not (a < c) proc `<`*(x, y: bool): bool {.magic: "LtB", noSideEffect.} proc `<`*[T](x, y: ref T): bool {.magic: "LtPtr", noSideEffect.} proc `<`*[T](x, y: ptr T): bool {.magic: "LtPtr", noSideEffect.} proc `<`*(x, y: pointer): bool {.magic: "LtPtr", noSideEffect.} template `!=`*(x, y: untyped): untyped = ## Unequals operator. This is a shorthand for `not (x == y)`. not (x == y) template `>=`*(x, y: untyped): untyped = ## "is greater or equals" operator. This is the same as `y <= x`. y <= x template `>`*(x, y: untyped): untyped = ## "is greater" operator. This is the same as `y < x`. y < x proc `==`*(x, y: int): bool {.magic: "EqI", noSideEffect.} ## Compares two integers for equality. proc `==`*(x, y: int8): bool {.magic: "EqI", noSideEffect.} proc `==`*(x, y: int16): bool {.magic: "EqI", noSideEffect.} proc `==`*(x, y: int32): bool {.magic: "EqI", noSideEffect.} proc `==`*(x, y: int64): bool {.magic: "EqI", noSideEffect.} proc `<=`*(x, y: int): bool {.magic: "LeI", noSideEffect.} ## Returns true if `x` is less than or equal to `y`. proc `<=`*(x, y: int8): bool {.magic: "LeI", noSideEffect.} proc `<=`*(x, y: int16): bool {.magic: "LeI", noSideEffect.} proc `<=`*(x, y: int32): bool {.magic: "LeI", noSideEffect.} proc `<=`*(x, y: int64): bool {.magic: "LeI", noSideEffect.} proc `<`*(x, y: int): bool {.magic: "LtI", noSideEffect.} ## Returns true if `x` is less than `y`. proc `<`*(x, y: int8): bool {.magic: "LtI", noSideEffect.} proc `<`*(x, y: int16): bool {.magic: "LtI", noSideEffect.} proc `<`*(x, y: int32): bool {.magic: "LtI", noSideEffect.} proc `<`*(x, y: int64): bool {.magic: "LtI", noSideEffect.} proc `<=`*(x, y: uint): bool {.magic: "LeU", noSideEffect.} ## Returns true if `x <= y`. proc `<=`*(x, y: uint8): bool {.magic: "LeU", noSideEffect.} proc `<=`*(x, y: uint16): bool {.magic: "LeU", noSideEffect.} proc `<=`*(x, y: uint32): bool {.magic: "LeU", noSideEffect.} proc `<=`*(x, y: uint64): bool {.magic: "LeU", noSideEffect.} proc `<`*(x, y: uint): bool {.magic: "LtU", noSideEffect.} ## Returns true if `x < y`. proc `<`*(x, y: uint8): bool {.magic: "LtU", noSideEffect.} proc `<`*(x, y: uint16): bool {.magic: "LtU", noSideEffect.} proc `<`*(x, y: uint32): bool {.magic: "LtU", noSideEffect.} proc `<`*(x, y: uint64): bool {.magic: "LtU", noSideEffect.} proc `<=%`*(x, y: int): bool {.inline.} = ## Treats `x` and `y` as unsigned and compares them. ## Returns true if `unsigned(x) <= unsigned(y)`. cast[uint](x) <= cast[uint](y) proc `<=%`*(x, y: int8): bool {.inline.} = cast[uint8](x) <= cast[uint8](y) proc `<=%`*(x, y: int16): bool {.inline.} = cast[uint16](x) <= cast[uint16](y) proc `<=%`*(x, y: int32): bool {.inline.} = cast[uint32](x) <= cast[uint32](y) proc `<=%`*(x, y: int64): bool {.inline.} = cast[uint64](x) <= cast[uint64](y) proc `<%`*(x, y: int): bool {.inline.} = ## Treats `x` and `y` as unsigned and compares them. ## Returns true if `unsigned(x) < unsigned(y)`. cast[uint](x) < cast[uint](y) proc `<%`*(x, y: int8): bool {.inline.} = cast[uint8](x) < cast[uint8](y) proc `<%`*(x, y: int16): bool {.inline.} = cast[uint16](x) < cast[uint16](y) proc `<%`*(x, y: int32): bool {.inline.} = cast[uint32](x) < cast[uint32](y) proc `<%`*(x, y: int64): bool {.inline.} = cast[uint64](x) < cast[uint64](y) template `>=%`*(x, y: untyped): untyped = y <=% x ## Treats `x` and `y` as unsigned and compares them. ## Returns true if `unsigned(x) >= unsigned(y)`. template `>%`*(x, y: untyped): untyped = y <% x ## Treats `x` and `y` as unsigned and compares them. ## Returns true if `unsigned(x) > unsigned(y)`. proc `==`*(x, y: uint): bool {.magic: "EqI", noSideEffect.} ## Compares two unsigned integers for equality. proc `==`*(x, y: uint8): bool {.magic: "EqI", noSideEffect.} proc `==`*(x, y: uint16): bool {.magic: "EqI", noSideEffect.} proc `==`*(x, y: uint32): bool {.magic: "EqI", noSideEffect.} proc `==`*(x, y: uint64): bool {.magic: "EqI", noSideEffect.} {.push stackTrace: off.} proc min*(x, y: int): int {.magic: "MinI", noSideEffect.} = if x <= y: x else: y proc min*(x, y: int8): int8 {.magic: "MinI", noSideEffect.} = if x <= y: x else: y proc min*(x, y: int16): int16 {.magic: "MinI", noSideEffect.} = if x <= y: x else: y proc min*(x, y: int32): int32 {.magic: "MinI", noSideEffect.} = if x <= y: x else: y proc min*(x, y: int64): int64 {.magic: "MinI", noSideEffect.} = ## The minimum value of two integers. if x <= y: x else: y proc max*(x, y: int): int {.magic: "MaxI", noSideEffect.} = if y <= x: x else: y proc max*(x, y: int8): int8 {.magic: "MaxI", noSideEffect.} = if y <= x: x else: y proc max*(x, y: int16): int16 {.magic: "MaxI", noSideEffect.} = if y <= x: x else: y proc max*(x, y: int32): int32 {.magic: "MaxI", noSideEffect.} = if y <= x: x else: y proc max*(x, y: int64): int64 {.magic: "MaxI", noSideEffect.} = ## The maximum value of two integers. if y <= x: x else: y proc min*[T](x: openArray[T]): T = ## The minimum value of `x`. `T` needs to have a `<` operator. result = x[0] for i in 1..high(x): if x[i] < result: result = x[i] proc max*[T](x: openArray[T]): T = ## The maximum value of `x`. `T` needs to have a `<` operator. result = x[0] for i in 1..high(x): if result < x[i]: result = x[i] {.pop.} # stackTrace: off proc clamp*[T](x, a, b: T): T = ## Limits the value `x` within the interval [a, b]. ## This proc is equivalent to but faster than `max(a, min(b, x))`. ## ## .. warning:: `a <= b` is assumed and will not be checked (currently). ## ## **See also:** ## `math.clamp` for a version that takes a `Slice[T]` instead. runnableExamples: assert (1.4).clamp(0.0, 1.0) == 1.0 assert (0.5).clamp(0.0, 1.0) == 0.5 assert 4.clamp(1, 3) == max(1, min(3, 4)) if x < a: return a if x > b: return b return x proc `==`*[I, T](x, y: array[I, T]): bool = for f in low(x)..high(x): if x[f] != y[f]: return result = true proc `==`*[T](x, y: openArray[T]): bool = if x.len != y.len: return false for f in low(x)..high(x): if x[f] != y[f]: return false result = true proc `==`*[T](x, y: seq[T]): bool {.noSideEffect.} = ## Generic equals operator for sequences: relies on a equals operator for ## the element type `T`. when nimvm: if x.len == 0 and y.len == 0: return true else: when not defined(js): proc seqToPtr[T](x: seq[T]): pointer {.inline, noSideEffect.} = when defined(nimSeqsV2): result = cast[NimSeqV2[T]](x).p else: result = cast[pointer](x) if seqToPtr(x) == seqToPtr(y): return true else: var sameObject = false asm """`sameObject` = `x` === `y`""" if sameObject: return true if x.len != y.len: return false for i in 0..x.len-1: if x[i] != y[i]: return false return true