def Float.exactlyRepresentablePowersOfTen : Array Float

Precomputed values of 10 ^ e for 0 ≤ e ≤ 22. In this range, the values can be represented exactly.

def Float.ofScientific (m : Nat) (s : Bool) (e : Nat) : Float

@[instance_reducible, defaultInstance 501]

instance instOfScientificFloat : OfScientific Float

The OfScientific Float must have priority higher than mid since the default instance Neg Int has mid priority.

#check -42.0 -- must be Float

@[export lean_float_of_nat]

def Float.ofNat (n : Nat) : Float

Converts a natural number into the closest-possible 64-bit floating-point number, or an infinite floating-point value if the range of Float is exceeded.

def Float.ofInt : Int → Float

Converts an integer into the closest-possible 64-bit floating-point number, or positive or negative infinite floating-point value if the range of Float is exceeded.

@[instance_reducible]

instance instOfNatFloat {n : Nat} : OfNat Float n

@[reducible, inline]

abbrev Nat.toFloat (n : Nat) : Float

Converts a natural number into the closest-possible 64-bit floating-point number, or an infinite floating-point value if the range of Float is exceeded.

@[reducible, inline]

abbrev Int.toFloat (n : Int) : Float

Converts an integer into the closest-possible 64-bit floating-point number, or positive or negative infinite floating-point value if the range of Float is exceeded.

def Float32.exactlyRepresentablePowersOfTen : Array Float32

Precomputed values of 10 ^ e for 0 ≤ e ≤ 10 . In this range, the values can be represented exactly.

def Float32.ofScientific (m : Nat) (s : Bool) (e : Nat) : Float32

@[instance_reducible]

instance instOfScientificFloat32 : OfScientific Float32

@[export lean_float32_of_nat]

def Float32.ofNat (n : Nat) : Float32

Converts a natural number into the closest-possible 32-bit floating-point number, or an infinite floating-point value if the range of Float32 is exceeded.

def Float32.ofInt : Int → Float32

Converts an integer into the closest-possible 32-bit floating-point number, or positive or negative infinite floating-point value if the range of Float32 is exceeded.

@[instance_reducible]

instance instOfNatFloat32 {n : Nat} : OfNat Float32 n

@[reducible, inline]

abbrev Nat.toFloat32 (n : Nat) : Float32

Converts a natural number into the closest-possible 32-bit floating-point number, or an infinite floating-point value if the range of Float32 is exceeded.

@[reducible, inline]

abbrev Int.toFloat32 (n : Int) : Float32

Converts an integer into the closest-possible 32-bit floating-point number, or positive or negative infinite floating-point value if the range of Float32 is exceeded.