open import 1Lab.Type

open import Data.Int.Inductive
open import Data.Bool

open import Prim.Data.String
open import Prim.Data.Maybe
open import Prim.Data.Word

module Prim.Data.Float where

Primitive: IEEE754 floats🔗

Yes.

postulate Float : Type
{-# BUILTIN FLOAT Float #-}

primitive
  -- Relations
  primFloatInequality        : Float → Float → Bool
  primFloatEquality          : Float → Float → Bool
  primFloatLess              : Float → Float → Bool
  primFloatIsInfinite        : Float → Bool
  primFloatIsNaN             : Float → Bool
  primFloatIsNegativeZero    : Float → Bool
  primFloatIsSafeInteger     : Float → Bool
  -- Conversions
  primFloatToWord64          : Float → Maybe Word64
  primNatToFloat             : Nat → Float
  primIntToFloat             : Int → Float
  primFloatRound             : Float → Maybe Int
  primFloatFloor             : Float → Maybe Int
  primFloatCeiling           : Float → Maybe Int
  primFloatToRatio           : Float → (Σ Int λ _ → Int)
  primRatioToFloat           : Int → Int → Float
  primFloatDecode            : Float → Maybe (Σ Int λ _ → Int)
  primFloatEncode            : Int → Int → Maybe Float
  primShowFloat              : Float → String
  -- Operations
  primFloatPlus              : Float → Float → Float
  primFloatMinus             : Float → Float → Float
  primFloatTimes             : Float → Float → Float
  primFloatDiv               : Float → Float → Float
  primFloatPow               : Float → Float → Float
  primFloatNegate            : Float → Float
  primFloatSqrt              : Float → Float
  primFloatExp               : Float → Float
  primFloatLog               : Float → Float
  primFloatSin               : Float → Float
  primFloatCos               : Float → Float
  primFloatTan               : Float → Float
  primFloatASin              : Float → Float
  primFloatACos              : Float → Float
  primFloatATan              : Float → Float
  primFloatATan2             : Float → Float → Float
  primFloatSinh              : Float → Float
  primFloatCosh              : Float → Float
  primFloatTanh              : Float → Float
  primFloatASinh             : Float → Float
  primFloatACosh             : Float → Float
  primFloatATanh             : Float → Float