Std.Time.Internal.UnitVal

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structure Std.Time.Internal.UnitVal (α : Internal.Rat) :

Type

A structure representing a unit of a given ratio type α.

ofInt :: (

val : Int
Value inside the UnitVal Value.

)

Instances For

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instance Std.Time.Internal.instInhabitedUnitVal {a✝ : Internal.Rat} :

Inhabited (UnitVal a✝)

Equations

Std.Time.Internal.instInhabitedUnitVal = { default := { val := default } }

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instance Std.Time.Internal.instBEqUnitVal {α✝ : Internal.Rat} :

BEq (UnitVal α✝)

Equations

Std.Time.Internal.instBEqUnitVal = { beq := Std.Time.Internal.beqUnitVal✝ }

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instance Std.Time.Internal.instLEUnitVal {x : Internal.Rat} :

LE (UnitVal x)

Equations

Std.Time.Internal.instLEUnitVal = { le := fun (x_1 y : Std.Time.Internal.UnitVal x) => x_1.val ≤ y.val }

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instance Std.Time.Internal.instDecidableLeUnitVal {z : Internal.Rat} {x y : UnitVal z} :

Decidable (x ≤ y)

Equations

Std.Time.Internal.instDecidableLeUnitVal = inferInstanceAs (Decidable (x.val ≤ y.val))

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@[inline]

def Std.Time.Internal.UnitVal.ofNat {α : Internal.Rat} (value : Nat) :

UnitVal α

Creates a UnitVal from a Nat.

Equations

Std.Time.Internal.UnitVal.ofNat value = { val := ↑value }

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@[inline]

def Std.Time.Internal.UnitVal.toInt {α : Internal.Rat} (unit : UnitVal α) :

Int

Converts a UnitVal to an Int.

Equations

unit.toInt = unit.val

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@[inline]

def Std.Time.Internal.UnitVal.mul {a : Internal.Rat} (unit : UnitVal a) (factor : Int) :

UnitVal (a / { num := factor, den := 1 })

Multiplies the UnitVal by an Int, resulting in a new UnitVal with an adjusted ratio.

Equations

unit.mul factor = { val := unit.val * factor }

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@[inline]

def Std.Time.Internal.UnitVal.ediv {a : Internal.Rat} (unit : UnitVal a) (divisor : Int) :

UnitVal (a * { num := divisor, den := 1 })

Divides the UnitVal by an Int, resulting in a new UnitVal with an adjusted ratio.

Equations

unit.ediv divisor = { val := unit.val.ediv divisor }

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@[inline]

def Std.Time.Internal.UnitVal.div {a : Internal.Rat} (unit : UnitVal a) (divisor : Int) :

UnitVal (a * { num := divisor, den := 1 })

Divides the UnitVal by an Int, resulting in a new UnitVal with an adjusted ratio.

Equations

unit.div divisor = { val := unit.val.tdiv divisor }

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@[inline]

def Std.Time.Internal.UnitVal.add {α : Internal.Rat} (u1 u2 : UnitVal α) :

UnitVal α

Adds two UnitVal values of the same ratio.

Equations

u1.add u2 = { val := u1.val + u2.val }

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@[inline]

def Std.Time.Internal.UnitVal.sub {α : Internal.Rat} (u1 u2 : UnitVal α) :

UnitVal α

Subtracts one UnitVal value from another of the same ratio.

Equations

u1.sub u2 = { val := u1.val - u2.val }

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@[inline]

def Std.Time.Internal.UnitVal.abs {α : Internal.Rat} (u : UnitVal α) :

UnitVal α

Returns the absolute value of a UnitVal.

Equations

u.abs = { val := ↑u.val.natAbs }

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@[inline]

def Std.Time.Internal.UnitVal.convert {a b : Internal.Rat} (val : UnitVal a) :

UnitVal b

Converts an Offset to another unit type.

Equations

val.convert = { val := val.toInt * (a.div b).num / ↑(a.div b).den }

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instance Std.Time.Internal.UnitVal.instOfNat {α : Internal.Rat} {n : Nat} :

OfNat (UnitVal α) n

Equations

Std.Time.Internal.UnitVal.instOfNat = { ofNat := { val := Int.ofNat n } }

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instance Std.Time.Internal.UnitVal.instRepr {α : Internal.Rat} :

Repr (UnitVal α)

Equations

Std.Time.Internal.UnitVal.instRepr = { reprPrec := fun (x : Std.Time.Internal.UnitVal α) (p : Nat) => reprPrec x.val p }

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instance Std.Time.Internal.UnitVal.instLE {α : Internal.Rat} :

LE (UnitVal α)

Equations

Std.Time.Internal.UnitVal.instLE = { le := fun (x y : Std.Time.Internal.UnitVal α) => x.val ≤ y.val }

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instance Std.Time.Internal.UnitVal.instLT {α : Internal.Rat} :

LT (UnitVal α)

Equations

Std.Time.Internal.UnitVal.instLT = { lt := fun (x y : Std.Time.Internal.UnitVal α) => x.val < y.val }

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instance Std.Time.Internal.UnitVal.instAdd {α : Internal.Rat} :

Add (UnitVal α)

Equations

Std.Time.Internal.UnitVal.instAdd = { add := Std.Time.Internal.UnitVal.add }

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instance Std.Time.Internal.UnitVal.instSub {α : Internal.Rat} :

Sub (UnitVal α)

Equations

Std.Time.Internal.UnitVal.instSub = { sub := Std.Time.Internal.UnitVal.sub }

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instance Std.Time.Internal.UnitVal.instNeg {α : Internal.Rat} :

Neg (UnitVal α)

Equations

Std.Time.Internal.UnitVal.instNeg = { neg := fun (x : Std.Time.Internal.UnitVal α) => { val := -x.val } }

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instance Std.Time.Internal.UnitVal.instToString {n : Internal.Rat} :

ToString (UnitVal n)

Equations

Std.Time.Internal.UnitVal.instToString = { toString := fun (n_1 : Std.Time.Internal.UnitVal n) => toString n_1.val }