fixedpoint

var (
	Fix128FactorAsBigInt = new(big.Int).Exp(
		big.NewInt(10),
		big.NewInt(Fix128Scale),
		nil,
	)

	Fix64ToFix128FactorAsBigInt = new(big.Int).Exp(
		big.NewInt(10),
		big.NewInt(Fix128Scale-Fix64Scale),
		nil,
	)

	Fix128TypeMin = fix.Fix128Min
	Fix128TypeMax = fix.Fix128Max

	Fix128TypeMinBig = Fix128ToBigInt(Fix128TypeMin)
	Fix128TypeMaxBig = Fix128ToBigInt(Fix128TypeMax)

	Fix128TypeMinIntBig, Fix128TypeMinFractionalBig = func() (*big.Int, *big.Int) {
		quotient := new(big.Int)
		remainder := new(big.Int)

		quotient, remainder = quotient.QuoRem(Fix128TypeMinBig, Fix128FactorAsBigInt, remainder)
		remainder = remainder.Abs(remainder)

		return quotient, remainder
	}()

	Fix128TypeMaxIntBig, Fix128TypeMaxFractionalBig = func() (*big.Int, *big.Int) {
		quotient := new(big.Int)
		remainder := new(big.Int)

		quotient, remainder = quotient.QuoRem(Fix128TypeMaxBig, Fix128FactorAsBigInt, remainder)
		remainder = remainder.Abs(remainder)

		return quotient, remainder
	}()
)

var (
	UFix128FactorAsBigInt = Fix128FactorAsBigInt

	UFix128TypeMin = fix.UFix128Zero
	UFix128TypeMax = fix.UFix128Max

	UFix128TypeMinBig = UFix128ToBigInt(UFix128TypeMin)
	UFix128TypeMaxBig = UFix128ToBigInt(UFix128TypeMax)

	UFix128TypeMinIntBig        = big.NewInt(0)
	UFix128TypeMinFractionalBig = big.NewInt(0)

	UFix128TypeMaxIntBig, UFix128TypeMaxFractionalBig = func() (*big.Int, *big.Int) {
		quotient := new(big.Int)
		remainder := new(big.Int)

		quotient, remainder = quotient.QuoRem(UFix128TypeMaxBig, UFix128FactorAsBigInt, remainder)
		remainder = remainder.Abs(remainder)

		return quotient, remainder
	}()
)

var Fix64TypeMax = new(big.Int).SetInt64(math.MaxInt64)

var Fix64TypeMaxFractionalBig = new(big.Int).SetInt64(Fix64TypeMaxFractional)

var Fix64TypeMaxIntBig = new(big.Int).SetInt64(Fix64TypeMaxInt)

var Fix64TypeMaxScaledTo128 = new(big.Int).Mul(
	Fix64TypeMax,
	Fix64ToFix128FactorAsBigInt,
)

var Fix64TypeMin = new(big.Int).SetInt64(math.MinInt64)

var Fix64TypeMinFractionalBig = new(big.Int).SetInt64(Fix64TypeMinFractional)

var Fix64TypeMinIntBig = new(big.Int).SetInt64(Fix64TypeMinInt)

var Fix64TypeMinScaledTo128 = new(big.Int).Mul(
	Fix64TypeMin,
	Fix64ToFix128FactorAsBigInt,
)

var UFix64TypeMaxFractionalBig = new(big.Int).SetUint64(UFix64TypeMaxFractional)

var UFix64TypeMaxIntBig = new(big.Int).SetUint64(UFix64TypeMaxInt)

var UFix64TypeMaxScaledTo128 = new(big.Int).Mul(
	new(big.Int).SetUint64(math.MaxUint64),
	Fix64ToFix128FactorAsBigInt,
)

var UFix64TypeMinFractionalBig = new(big.Int).SetUint64(UFix64TypeMinFractional)

var UFix64TypeMinIntBig = new(big.Int).SetUint64(UFix64TypeMinInt)

var UFix64TypeMinScaledTo128 = new(big.Int).Mul(
	new(big.Int).SetUint64(0),
	Fix64ToFix128FactorAsBigInt,
)