Documentation
¶
Overview ¶
Package math implements custom Cosmos SDK math types used for arithmetic operations. Signed and unsigned integer types utilize Golang's standard library big integers types, having a maximum bit length of 256 bits.
Index ¶
- Constants
- Variables
- func FormatDec(v string) (string, error)
- func FormatInt(v string) (string, error)
- func IntEq(t *testing.T, exp, got Int) (*testing.T, bool, string, string, string)
- func LegacyDecApproxEq(t *testing.T, d1, d2, tol LegacyDec) (*testing.T, bool, string, string, string)
- func LegacyDecEq(t *testing.T, exp, got LegacyDec) (*testing.T, bool, string, string, string)
- func LegacyDecsEqual(d1s, d2s []LegacyDec) bool
- func LegacySortableDecBytes(dec LegacyDec) []byte
- func LegacyValidSortableDec(dec LegacyDec) bool
- func Max[T constraints.Ordered](a, b T, rest ...T) T
- func Min[T constraints.Ordered](a, b T, rest ...T) T
- func UintOverflow(i *big.Int) error
- type Int
- func MaxInt(i, i2 Int) Int
- func MinInt(i1, i2 Int) Int
- func NewInt(n int64) Int
- func NewIntFromBigInt(i *big.Int) Int
- func NewIntFromBigIntMut(i *big.Int) Int
- func NewIntFromString(s string) (res Int, ok bool)
- func NewIntFromUint64(n uint64) Int
- func NewIntWithDecimal(n int64, dec int) Int
- func OneInt() Int
- func ZeroInt() Int
- func (i Int) Abs() Int
- func (i Int) Add(i2 Int) (res Int)
- func (i Int) AddRaw(i2 int64) Int
- func (i Int) BigInt() *big.Int
- func (i Int) BigIntMut() *big.Int
- func (i Int) Equal(i2 Int) bool
- func (i Int) GT(i2 Int) bool
- func (i Int) GTE(i2 Int) bool
- func (i Int) Int64() int64
- func (i Int) IsInt64() bool
- func (i Int) IsNegative() bool
- func (i Int) IsNil() bool
- func (i Int) IsPositive() bool
- func (i Int) IsUint64() bool
- func (i Int) IsZero() bool
- func (i Int) LT(i2 Int) bool
- func (i Int) LTE(i2 Int) bool
- func (i Int) Marshal() ([]byte, error)
- func (i Int) MarshalAmino() ([]byte, error)
- func (i Int) MarshalJSON() ([]byte, error)
- func (i *Int) MarshalTo(data []byte) (n int, err error)
- func (i Int) MarshalYAML() (interface{}, error)
- func (i Int) Mod(i2 Int) Int
- func (i Int) ModRaw(i2 int64) Int
- func (i Int) Mul(i2 Int) (res Int)
- func (i Int) MulRaw(i2 int64) Int
- func (i Int) Neg() (res Int)
- func (i Int) Quo(i2 Int) (res Int)
- func (i Int) QuoRaw(i2 int64) Int
- func (i Int) SafeAdd(i2 Int) (res Int, err error)
- func (i Int) SafeMod(i2 Int) (res Int, err error)
- func (i Int) SafeMul(i2 Int) (res Int, err error)
- func (i Int) SafeQuo(i2 Int) (res Int, err error)
- func (i Int) SafeSub(i2 Int) (res Int, err error)
- func (i Int) Sign() int
- func (i *Int) Size() int
- func (i Int) String() string
- func (i Int) Sub(i2 Int) (res Int)
- func (i Int) SubRaw(i2 int64) Int
- func (i Int) ToLegacyDec() LegacyDec
- func (i Int) Uint64() uint64
- func (i *Int) Unmarshal(data []byte) error
- func (i *Int) UnmarshalAmino(bz []byte) error
- func (i *Int) UnmarshalJSON(bz []byte) error
- type LegacyDec
- func LegacyMaxDec(d1, d2 LegacyDec) LegacyDec
- func LegacyMinDec(d1, d2 LegacyDec) LegacyDec
- func LegacyMustNewDecFromStr(s string) LegacyDec
- func LegacyNewDec(i int64) LegacyDec
- func LegacyNewDecFromBigInt(i *big.Int) LegacyDec
- func LegacyNewDecFromBigIntWithPrec(i *big.Int, prec int64) LegacyDec
- func LegacyNewDecFromInt(i Int) LegacyDec
- func LegacyNewDecFromIntWithPrec(i Int, prec int64) LegacyDec
- func LegacyNewDecFromStr(str string) (LegacyDec, error)
- func LegacyNewDecWithPrec(i, prec int64) LegacyDec
- func LegacyOneDec() LegacyDec
- func LegacySmallestDec() LegacyDec
- func LegacyZeroDec() LegacyDec
- func (d LegacyDec) Abs() LegacyDec
- func (d LegacyDec) AbsMut() LegacyDec
- func (d LegacyDec) Add(d2 LegacyDec) LegacyDec
- func (d LegacyDec) AddMut(d2 LegacyDec) LegacyDec
- func (d LegacyDec) ApproxRoot(root uint64) (guess LegacyDec, err error)
- func (d LegacyDec) ApproxSqrt() (LegacyDec, error)
- func (d LegacyDec) BigInt() *big.Int
- func (d LegacyDec) BigIntMut() *big.Int
- func (d LegacyDec) Ceil() LegacyDec
- func (d LegacyDec) Clone() LegacyDec
- func (d LegacyDec) Equal(d2 LegacyDec) bool
- func (d LegacyDec) Float64() (float64, error)
- func (d LegacyDec) Format(s fmt.State, verb rune)
- func (d LegacyDec) GT(d2 LegacyDec) bool
- func (d LegacyDec) GTE(d2 LegacyDec) bool
- func (d LegacyDec) ImmutOp(op func(LegacyDec, LegacyDec) LegacyDec, d2 LegacyDec) LegacyDec
- func (d LegacyDec) ImmutOpInt(op func(LegacyDec, Int) LegacyDec, d2 Int) LegacyDec
- func (d LegacyDec) ImmutOpInt64(op func(LegacyDec, int64) LegacyDec, d2 int64) LegacyDec
- func (d LegacyDec) IsInValidRange() bool
- func (d LegacyDec) IsInteger() bool
- func (d LegacyDec) IsNegative() bool
- func (d LegacyDec) IsNil() bool
- func (d LegacyDec) IsPositive() bool
- func (d LegacyDec) IsZero() bool
- func (d LegacyDec) LT(d2 LegacyDec) bool
- func (d LegacyDec) LTE(d2 LegacyDec) bool
- func (d LegacyDec) Marshal() ([]byte, error)
- func (d LegacyDec) MarshalAmino() ([]byte, error)
- func (d LegacyDec) MarshalJSON() ([]byte, error)
- func (d *LegacyDec) MarshalTo(data []byte) (n int, err error)
- func (d LegacyDec) MarshalYAML() (interface{}, error)
- func (d LegacyDec) Mul(d2 LegacyDec) LegacyDec
- func (d LegacyDec) MulInt(i Int) LegacyDec
- func (d LegacyDec) MulInt64(i int64) LegacyDec
- func (d LegacyDec) MulInt64Mut(i int64) LegacyDec
- func (d LegacyDec) MulIntMut(i Int) LegacyDec
- func (d LegacyDec) MulMut(d2 LegacyDec) LegacyDec
- func (d LegacyDec) MulRoundUp(d2 LegacyDec) LegacyDec
- func (d LegacyDec) MulRoundUpMut(d2 LegacyDec) LegacyDec
- func (d LegacyDec) MulTruncate(d2 LegacyDec) LegacyDec
- func (d LegacyDec) MulTruncateMut(d2 LegacyDec) LegacyDec
- func (d LegacyDec) MustFloat64() float64
- func (d LegacyDec) Neg() LegacyDec
- func (d LegacyDec) NegMut() LegacyDec
- func (d LegacyDec) Power(power uint64) LegacyDec
- func (d LegacyDec) PowerMut(power uint64) LegacyDec
- func (d LegacyDec) Quo(d2 LegacyDec) LegacyDec
- func (d LegacyDec) QuoInt(i Int) LegacyDec
- func (d LegacyDec) QuoInt64(i int64) LegacyDec
- func (d LegacyDec) QuoInt64Mut(i int64) LegacyDec
- func (d LegacyDec) QuoIntMut(i Int) LegacyDec
- func (d LegacyDec) QuoMut(d2 LegacyDec) LegacyDec
- func (d LegacyDec) QuoRoundUp(d2 LegacyDec) LegacyDec
- func (d LegacyDec) QuoRoundupMut(d2 LegacyDec) LegacyDec
- func (d LegacyDec) QuoTruncate(d2 LegacyDec) LegacyDec
- func (d LegacyDec) QuoTruncateMut(d2 LegacyDec) LegacyDec
- func (d LegacyDec) RoundInt() Int
- func (d LegacyDec) RoundInt64() int64
- func (d LegacyDec) Set(d2 LegacyDec) LegacyDec
- func (d LegacyDec) SetInt64(i int64) LegacyDec
- func (d *LegacyDec) Size() int
- func (d LegacyDec) String() string
- func (d LegacyDec) Sub(d2 LegacyDec) LegacyDec
- func (d LegacyDec) SubMut(d2 LegacyDec) LegacyDec
- func (d LegacyDec) TruncateDec() LegacyDec
- func (d LegacyDec) TruncateInt() Int
- func (d LegacyDec) TruncateInt64() int64
- func (d *LegacyDec) Unmarshal(data []byte) error
- func (d *LegacyDec) UnmarshalAmino(bz []byte) error
- func (d *LegacyDec) UnmarshalJSON(bz []byte) error
- type Uint
- func (u Uint) Add(u2 Uint) Uint
- func (u Uint) AddUint64(u2 uint64) Uint
- func (u Uint) BigInt() *big.Int
- func (u Uint) BigIntMut() *big.Int
- func (u Uint) Decr() Uint
- func (u Uint) Equal(u2 Uint) bool
- func (u Uint) GT(u2 Uint) bool
- func (u Uint) GTE(u2 Uint) bool
- func (u Uint) Incr() Uint
- func (u Uint) IsNil() bool
- func (u Uint) IsZero() bool
- func (u Uint) LT(u2 Uint) bool
- func (u Uint) LTE(u2 Uint) bool
- func (u Uint) Marshal() ([]byte, error)
- func (u Uint) MarshalAmino() ([]byte, error)
- func (u Uint) MarshalJSON() ([]byte, error)
- func (u *Uint) MarshalTo(data []byte) (n int, err error)
- func (u Uint) Mod(u2 Uint) Uint
- func (u Uint) Mul(u2 Uint) (res Uint)
- func (u Uint) MulUint64(u2 uint64) (res Uint)
- func (u Uint) Quo(u2 Uint) (res Uint)
- func (u Uint) QuoUint64(u2 uint64) Uint
- func (u *Uint) Size() int
- func (u Uint) String() string
- func (u Uint) Sub(u2 Uint) Uint
- func (u Uint) SubUint64(u2 uint64) Uint
- func (u Uint) Uint64() uint64
- func (u *Uint) Unmarshal(data []byte) error
- func (u *Uint) UnmarshalAmino(bz []byte) error
- func (u *Uint) UnmarshalJSON(bz []byte) error
Constants ¶
const ( // LegacyPrecision number of decimal places LegacyPrecision = 18 // LegacyDecimalPrecisionBits bits required to represent the above precision // Ceiling[Log2[10^Precision - 1]] // Deprecated: This is unused and will be removed LegacyDecimalPrecisionBits = 60 )
const MaxBitLen = 256
MaxBitLen defines the maximum bit length supported bit Int and Uint types.
Variables ¶
var ( ErrLegacyEmptyDecimalStr = errors.New("decimal string cannot be empty") ErrLegacyInvalidDecimalLength = errors.New("invalid decimal length") ErrLegacyInvalidDecimalStr = errors.New("invalid decimal string") )
Decimal errors
var ( // ErrIntOverflow is the error returned when an integer overflow occurs ErrIntOverflow = errors.New("integer overflow") // ErrDivideByZero is the error returned when a divide by zero occurs ErrDivideByZero = errors.New("divide by zero") )
Integer errors
Functions ¶
func FormatDec ¶
FormatDec formats a decimal (as encoded in protobuf) into a value-rendered string following ADR-050. This function operates with string manipulation (instead of manipulating the sdk.Dec object).
func FormatInt ¶
FormatInt formats an integer (encoded as in protobuf) into a value-rendered string following ADR-050. This function operates with string manipulation (instead of manipulating the int or math.Int object).
func LegacyDecApproxEq ¶
func LegacyDecEq ¶
LegacyDecEq intended to be used with require/assert: require.True(DecEq(...))
func LegacyDecsEqual ¶
LegacyDecsEqual return true if two decimal arrays are equal.
func LegacySortableDecBytes ¶
LegacySortableDecBytes returns a byte slice representation of a Dec that can be sorted. Left and right pads with 0s so there are 18 digits to left and right of the decimal point. For this reason, there is a maximum and minimum value for this, enforced by ValidSortableDec.
func LegacyValidSortableDec ¶
LegacyValidSortableDec ensures that a Dec is within the sortable bounds, a Dec can't have a precision of less than 10^-18. Max sortable decimal was set to the reciprocal of SmallestDec.
func Max ¶
func Max[T constraints.Ordered](a, b T, rest ...T) T
func Min ¶
func Min[T constraints.Ordered](a, b T, rest ...T) T
func UintOverflow ¶
UintOverflow returns true if a given unsigned integer overflows and false otherwise.
Types ¶
type Int ¶
type Int struct {
// contains filtered or unexported fields
}
Int wraps big.Int with a 256 bit range bound Checks overflow, underflow and division by zero Exists in range from -(2^256 - 1) to 2^256 - 1
func NewIntFromBigInt ¶
NewIntFromBigInt constructs Int from big.Int. If the provided big.Int is nil, it returns an empty instance. This function panics if the bit length is > 256. Note, the caller can safely mutate the argument after this function returns.
func NewIntFromBigIntMut ¶ added in v1.2.0
NewIntFromBigIntMut constructs Int from big.Int. If the provided big.Int is nil, it returns an empty instance. This function panics if the bit length is > 256. Note, this function mutate the argument.
func NewIntFromString ¶
NewIntFromString constructs Int from string
func NewIntFromUint64 ¶
NewIntFromUint64 constructs an Int from a uint64.
func NewIntWithDecimal ¶
NewIntWithDecimal constructs Int with decimal Result value is n*10^dec
func (Int) MarshalAmino ¶
MarshalAmino Override Amino binary serialization by proxying to protobuf.
func (Int) MarshalJSON ¶
MarshalJSON defines custom encoding scheme
func (Int) MarshalYAML ¶
MarshalYAML returns the YAML representation.
func (Int) SafeMod ¶ added in v1.3.0
SafeMod returns remainder after dividing with Int and returns an error if division by zero
func (Int) SafeMul ¶ added in v1.3.0
SafeMul multiples Int from another and returns an error if overflow
func (Int) SafeQuo ¶ added in v1.3.0
SafeQuo divides Int with Int and returns an error if division by zero
func (Int) SafeSub ¶ added in v1.3.0
SafeSub subtracts Int from another and returns an error if overflow or underflow
func (Int) ToLegacyDec ¶ added in v1.1.0
ToLegacyDec converts Int to LegacyDec
func (*Int) UnmarshalAmino ¶
func (*Int) UnmarshalJSON ¶
UnmarshalJSON defines custom decoding scheme
type LegacyDec ¶
type LegacyDec struct {
// contains filtered or unexported fields
}
LegacyDec NOTE: never use new(Dec) or else we will panic unmarshalling into the nil embedded big.Int
var LegacyMaxSortableDec LegacyDec
LegacyMaxSortableDec is the largest Dec that can be passed into SortableDecBytes() Its negative form is the least Dec that can be passed in.
func LegacyMaxDec ¶
LegacyMaxDec maximum decimal between two
func LegacyMinDec ¶
LegacyMinDec minimum decimal between two
func LegacyMustNewDecFromStr ¶
LegacyMustNewDecFromStr Decimal from string, panic on error
func LegacyNewDec ¶
LegacyNewDec create a new Dec from integer assuming whole number
func LegacyNewDecFromBigInt ¶
LegacyNewDecFromBigInt create a new Dec from big integer assuming whole numbers CONTRACT: prec <= Precision
func LegacyNewDecFromBigIntWithPrec ¶
LegacyNewDecFromBigIntWithPrec create a new Dec from big integer assuming whole numbers CONTRACT: prec <= Precision
func LegacyNewDecFromInt ¶
LegacyNewDecFromInt create a new Dec from big integer assuming whole numbers CONTRACT: prec <= Precision
func LegacyNewDecFromIntWithPrec ¶
LegacyNewDecFromIntWithPrec create a new Dec from big integer with decimal place at prec CONTRACT: prec <= Precision
func LegacyNewDecFromStr ¶
LegacyNewDecFromStr create a decimal from an input decimal string. valid must come in the form:
(-) whole integers (.) decimal integers
examples of acceptable input include:
-123.456 456.7890 345 -456789
NOTE - An error will return if more decimal places are provided in the string than the constant Precision.
CONTRACT - This function does not mutate the input str.
func LegacyNewDecWithPrec ¶
LegacyNewDecWithPrec create a new Dec from integer with decimal place at prec CONTRACT: prec <= Precision
func LegacyOneDec ¶
func LegacyOneDec() LegacyDec
func LegacySmallestDec ¶
func LegacySmallestDec() LegacyDec
func LegacyZeroDec ¶
func LegacyZeroDec() LegacyDec
func (LegacyDec) ApproxRoot ¶
ApproxRoot returns an approximate estimation of a Dec's positive real nth root using Newton's method (where n is positive). The algorithm starts with some guess and computes the sequence of improved guesses until an answer converges to an approximate answer. It returns `|d|.ApproxRoot() * -1` if input is negative. A maximum number of 100 iterations is used a backup boundary condition for cases where the answer never converges enough to satisfy the main condition.
func (LegacyDec) ApproxSqrt ¶
ApproxSqrt is a wrapper around ApproxRoot for the common special case of finding the square root of a number. It returns -(sqrt(abs(d)) if input is negative.
func (LegacyDec) BigIntMut ¶ added in v1.3.0
BigIntMut converts LegacyDec to big.Int, mutative the input
func (LegacyDec) Ceil ¶
Ceil returns the smallest integer value (as a decimal) that is greater than or equal to the given decimal.
func (LegacyDec) Float64 ¶
Float64 returns the float64 representation of a Dec. Will return the error if the conversion failed.
func (LegacyDec) ImmutOpInt ¶
func (LegacyDec) ImmutOpInt64 ¶
func (LegacyDec) IsInValidRange ¶ added in v1.4.0
IsInValidRange returns true when the value is between the upper limit of (2^256 * 10^18) and the lower limit of -1*(2^256 * 10^18).
func (LegacyDec) IsNegative ¶
func (LegacyDec) IsPositive ¶
func (LegacyDec) MarshalAmino ¶
MarshalAmino Override Amino binary serialization by proxying to protobuf.
func (LegacyDec) MarshalJSON ¶
MarshalJSON marshals the decimal
func (LegacyDec) MarshalYAML ¶
MarshalYAML returns the YAML representation.
func (LegacyDec) MulInt64Mut ¶
func (LegacyDec) MulRoundUp ¶ added in v1.1.0
MulRoundUp multiplication round up at precision end.
func (LegacyDec) MulRoundUpMut ¶ added in v1.1.0
MulRoundUpMut mutable multiplication with round up at precision end.
func (LegacyDec) MulTruncate ¶
MulTruncate multiplication truncate
func (LegacyDec) MulTruncateMut ¶
MulTruncateMut mutable multiplication truncate
func (LegacyDec) MustFloat64 ¶
MustFloat64 returns the float64 representation of a Dec. Would panic if the conversion failed.
func (LegacyDec) QuoInt64Mut ¶
func (LegacyDec) QuoRoundUp ¶
QuoRoundUp quotient, round up
func (LegacyDec) QuoRoundupMut ¶
QuoRoundupMut mutable quotient, round up
func (LegacyDec) QuoTruncate ¶
QuoTruncate quotient truncate
func (LegacyDec) QuoTruncateMut ¶
QuoTruncateMut divides the current LegacyDec value by the provided LegacyDec value, truncating the result.
func (LegacyDec) RoundInt64 ¶
RoundInt64 rounds the decimal using bankers rounding
func (LegacyDec) TruncateDec ¶
TruncateDec truncates the decimals from the number and returns a Dec
func (LegacyDec) TruncateInt ¶
TruncateInt truncates the decimals from the number and returns an Int
func (LegacyDec) TruncateInt64 ¶
TruncateInt64 truncates the decimals from the number and returns an int64
func (*LegacyDec) UnmarshalAmino ¶
func (*LegacyDec) UnmarshalJSON ¶
UnmarshalJSON defines custom decoding scheme
type Uint ¶
type Uint struct {
// contains filtered or unexported fields
}
Uint wraps integer with 256 bit range bound Checks overflow, underflow and division by zero Exists in range from 0 to 2^256-1
func NewUintFromBigInt ¶
NewUintFromBigInt constructs Uint from big.Int Panics if i is negative or wider than 256 bits
func NewUintFromString ¶
NewUintFromString constructs Uint from string Panics if parsed s is negative or wider than 256 bits
func RelativePow ¶
RelativePow raises x to the power of n, where x (and the result, z) are scaled by factor b for example, RelativePow(210, 2, 100) = 441 (2.1^2 = 4.41)
func (Uint) MarshalAmino ¶
MarshalAmino override Amino binary serialization by proxying to protobuf.
func (Uint) MarshalJSON ¶
MarshalJSON defines custom encoding scheme
func (*Uint) UnmarshalAmino ¶
func (*Uint) UnmarshalJSON ¶
UnmarshalJSON defines custom decoding scheme