gxbig

package
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 Go to latest Published: Jan 14, 2024 License: Apache-2.0 Imports: 10 Imported by: 0

Documentation

Index

Constants

View Source 
const BigDecimalStructSize = 40

BigDecimalStructSize is the struct size of Decimal.

Variables

View Source 
var (
	ErrBadNumber = errors.Errorf("Bad Number")
	ErrOverflow  = errors.Errorf("Data Overflow")
	ErrTruncated = errors.Errorf("Data Truncated")
	ErrDivByZero = errors.Errorf("Division by 0")
)

Functions

func DecimalAdd 

func DecimalAdd(from1, from2, to *Decimal) error

DecimalAdd adds two decimals, sets the result to 'to'. Note: DO NOT use `from1` or `from2` as `to` since the metadata of `to` may be changed during evaluating.

func DecimalBinSize 

func DecimalBinSize(precision, frac int) (int, error)

DecimalBinSize returns the size of array to hold a binary representation of a decimal.

func DecimalDiv 

func DecimalDiv(from1, from2, to *Decimal, fracIncr int) error

DecimalDiv does division of two decimals.

from1 - dividend from2 - divisor to - quotient fracIncr - increment of fraction

func DecimalMod 

func DecimalMod(from1, from2, to *Decimal) error

DecimalMod does modulus of two decimals. 

    from1   - dividend
    from2   - divisor
    to      - modulus

RETURN VALUE
  E_DEC_OK/E_DEC_TRUNCATED/E_DEC_OVERFLOW/E_DEC_DIV_ZERO;

NOTES
  see do_div_mod()

DESCRIPTION
  the modulus R in    R = M mod N

 is defined as

   0 <= |R| < |M|
   sign R == sign M
   R = M - k*N, where k is integer

 thus, there's no requirement for M or N to be integers

func DecimalMul 

func DecimalMul(from1, from2, to *Decimal) error

DecimalMul multiplies two decimals. 

    from1, from2 - factors
    to      - product

RETURN VALUE
  E_DEC_OK/E_DEC_TRUNCATED/E_DEC_OVERFLOW;

NOTES
  in this implementation, with wordSize=4 we have digitsPerWord=9,
  and 63-digit number will take only 7 words (basically a 7-digit
  "base 999999999" number).  Thus there's no need in fast multiplication
  algorithms, 7-digit numbers can be multiplied with a naive O(n*n)
  method.

  XXX if this library is to be used with huge numbers of thousands of
  digits, fast multiplication must be implemented.

func DecimalPeak 

func DecimalPeak(b []byte) (int, error)

DecimalPeak returns the length of the encoded decimal.

func DecimalSub 

func DecimalSub(from1, from2, to *Decimal) error

DecimalSub subs one decimal from another, sets the result to 'to'.

func GetMaxFloat 

func GetMaxFloat(flen int, decimal int) float64

GetMaxFloat gets the max float for given flen and decimal.

func Round 

func Round(f float64, dec int) float64

Round rounds the argument f to dec decimal places. dec defaults to 0 if not specified. dec can be negative to cause dec digits left of the decimal point of the value f to become zero.

func RoundFloat 

func RoundFloat(f float64) float64

RoundFloat rounds float val to the nearest integer value with float64 format, like MySQL Round function. RoundFloat uses default rounding mode, see https://dev.mysql.com/doc/refman/5.7/en/precision-math-rounding.html so rounding use "round half away from zero". e.g, 1.5 -> 2, -1.5 -> -2.

func Truncate 

func Truncate(f float64, dec int) float64

Truncate truncates the argument f to dec decimal places. dec defaults to 0 if not specified. dec can be negative to cause dec digits left of the decimal point of the value f to become zero.

func TruncateFloat 

func TruncateFloat(f float64, flen int, decimal int) (float64, error)

TruncateFloat tries to truncate f. If the result exceeds the max/min float that flen/decimal allowed, returns the max/min float allowed.

Types

type Decimal 

type Decimal struct {

	// for hessian
	Value string
	// contains filtered or unexported fields
}

Decimal represents a decimal value.

func DecimalNeg 

func DecimalNeg(from *Decimal) *Decimal

DecimalNeg reverses decimal's sign.

func NewDecFromFloat 

func NewDecFromFloat(f float64) (*Decimal, error)

NewDecFromFloat creates a Decimal from float.

func NewDecFromInt 

func NewDecFromInt(i int64) *Decimal

NewDecFromInt creates a Decimal from int.

func NewDecFromString 

func NewDecFromString(s string) (*Decimal, error)

NewDecFromString creates a Decimal from string

func NewDecFromUint 

func NewDecFromUint(i uint64) *Decimal

NewDecFromUint creates a Decimal from uint.

func NewMaxOrMinDec 

func NewMaxOrMinDec(negative bool, prec, frac int) *Decimal

NewMaxOrMinDec returns the max or min value decimal for given precision and fraction.

func (*Decimal) Compare 

func (d *Decimal) Compare(to *Decimal) int

Compare compares one decimal to another, returns -1/0/1.

func (*Decimal) FromBin 

func (d *Decimal) FromBin(bin []byte, precision, frac int) (binSize int, err error)

FromBin Restores decimal from its binary fixed-length representation.

func (*Decimal) FromBytes 

func (d *Decimal) FromBytes(str []byte) error

FromString parses decimal from []byte.

func (*Decimal) FromFloat64 

func (d *Decimal) FromFloat64(f float64) error

FromFloat64 creates a decimal from float64 value.

func (*Decimal) FromInt 

func (d *Decimal) FromInt(val int64) *Decimal

FromInt sets the decimal value from int64.

func (*Decimal) FromString 

func (d *Decimal) FromString(str string) error

FromString parses decimal from string .

func (*Decimal) FromUint 

func (d *Decimal) FromUint(val uint64) *Decimal

FromUint sets the decimal value from uint64.

func (*Decimal) GetDigitsFrac 

func (d *Decimal) GetDigitsFrac() int8

GetDigitsFrac returns the digitsFrac.

func (*Decimal) GetDigitsInt 

func (d *Decimal) GetDigitsInt() int8

GetDigitsInt returns the digitsInt.

func (*Decimal) IsNegative 

func (d *Decimal) IsNegative() bool

IsNegative returns whether a decimal is negative.

func (*Decimal) IsZero 

func (d *Decimal) IsZero() bool

IsZero checks whether it's a zero decimal.

func (Decimal) JavaClassName 

func (Decimal) JavaClassName() string

func (*Decimal) MarshalJSON 

func (d *Decimal) MarshalJSON() ([]byte, error)

MarshalJSON implements Marshaler.MarshalJSON interface.

func (*Decimal) PrecisionAndFrac 

func (d *Decimal) PrecisionAndFrac() (precision, frac int)

PrecisionAndFrac returns the internal precision and frac number.

func (*Decimal) Round 

func (d *Decimal) Round(to *Decimal, frac int, roundMode RoundMode) (err error)

Round rounds the decimal to "frac" digits. 

   to			- result buffer. d == to is allowed
   frac			- to what position after fraction point to round. can be negative!
   roundMode		- round to the nearest even or truncate
			ModeHalfEven rounds normally.
			Truncate just truncates the decimal.

NOTES 

scale can be negative !
one TRUNCATED error (line XXX below) isn't treated very logical :(

RETURN VALUE 

eDecOK/eDecTruncated

func (*Decimal) Shift 

func (d *Decimal) Shift(shift int) error

Shift shifts decimal digits in given number (with rounding if it need), shift > 0 means shift to left shift, shift < 0 means right shift. In fact it is multiplying on 10^shift.

RETURN 

eDecOK          OK
eDecOverflow    operation lead to overflow, number is untoched
eDecTruncated   number was rounded to fit into buffer

func (*Decimal) String 

func (d *Decimal) String() string

String returns the decimal string representation rounded to resultFrac.

func (*Decimal) ToBin 

func (d *Decimal) ToBin(precision, frac int) ([]byte, error)

ToBin converts decimal to its binary fixed-length representation two representations of the same length can be compared with memcmp with the correct -1/0/+1 result 

  PARAMS
		precision/frac - if precision is 0, internal value of the decimal will be used,
		then the encoded value is not memory comparable.

  NOTE
    the buffer is assumed to be of the size DecimalBinSize(precision, frac)

  RETURN VALUE
  	bin     - binary value
    errCode - eDecOK/eDecTruncate/eDecOverflow

  DESCRIPTION
    for storage decimal numbers are converted to the "binary" format.

    This format has the following properties:
      1. length of the binary representation depends on the {precision, frac}
      as provided by the caller and NOT on the digitsInt/digitsFrac of the decimal to
      convert.
      2. binary representations of the same {precision, frac} can be compared
      with memcmp - with the same result as DecimalCompare() of the original
      decimals (not taking into account possible precision loss during
      conversion).

    This binary format is as follows:
      1. First the number is converted to have a requested precision and frac.
      2. Every full digitsPerWord digits of digitsInt part are stored in 4 bytes
         as is
      3. The first digitsInt % digitesPerWord digits are stored in the reduced
         number of bytes (enough bytes to store this number of digits -
         see dig2bytes)
      4. same for frac - full word are stored as is,
         the last frac % digitsPerWord digits - in the reduced number of bytes.
      5. If the number is negative - every byte is inversed.
      5. The very first bit of the resulting byte array is inverted (because
         memcmp compares unsigned bytes, see property 2 above)

    Example:

      1234567890.1234

    internally is represented as 3 words

      1 234567890 123400000

    (assuming we want a binary representation with precision=14, frac=4)
    in hex it's

      00-00-00-01  0D-FB-38-D2  07-5A-EF-40

    now, middle word is full - it stores 9 decimal digits. It goes
    into binary representation as is:

      ...........  0D-FB-38-D2 ............

    First word has only one decimal digit. We can store one digit in
    one byte, no need to waste four:

                01 0D-FB-38-D2 ............

    now, last word. It's 123400000. We can store 1234 in two bytes:

                01 0D-FB-38-D2 04-D2

    So, we've packed 12 bytes number in 7 bytes.
    And now we invert the highest bit to get the final result:

                81 0D FB 38 D2 04 D2

    And for -1234567890.1234 it would be

                7E F2 04 C7 2D FB 2D

func (*Decimal) ToFloat64 

func (d *Decimal) ToFloat64() (f float64, err error)

ToFloat64 converts decimal to float64 value.

func (*Decimal) ToHashKey 

func (d *Decimal) ToHashKey() ([]byte, error)

ToHashKey removes the leading and trailing zeros and generates a hash key. Two Decimals dec0 and dec1 with different fraction will generate the same hash keys if dec0.Compare(dec1) == 0.

func (*Decimal) ToInt 

func (d *Decimal) ToInt() (int64, error)

ToInt returns int part of the decimal, returns the result and errcode.

func (*Decimal) ToString 

func (d *Decimal) ToString() (str []byte)

ToString converts decimal to its printable string representation without rounding. 

RETURN VALUE

    str       - result string
    errCode   - eDecOK/eDecTruncate/eDecOverflow

func (*Decimal) ToUint 

func (d *Decimal) ToUint() (uint64, error)

ToUint returns int part of the decimal, returns the result and errcode.

func (*Decimal) UnmarshalJSON 

func (d *Decimal) UnmarshalJSON(data []byte) error

UnmarshalJSON implements Unmarshaler.UnmarshalJSON interface.

func (*Decimal) WriteBin 

func (d *Decimal) WriteBin(precision, frac int, buf []byte) ([]byte, error)

WriteBin encode and write the binary encoded to target buffer

type Integer 

type Integer struct {

	// used in hessian encoding/decoding
	// You Should not use it in go
	Signum int32
	Mag    []int

	// Deprecated: compatible with java8 serialize
	FirstNonzeroIntNum int
	LowestSetBit       int
	BitLength          int
	BitCount           int
	// contains filtered or unexported fields
}

Integer represents a integer value.

func (*Integer) Format 

func (i *Integer) Format(s fmt.State, ch rune)

func (*Integer) FromSignAndMag 

func (i *Integer) FromSignAndMag(signum int32, mag []int)

FromSignAndMag set data from a array of big-endian unsigned uint32, it's used in hessian decoding @see https://docs.oracle.com/javase/8/docs/api/java/math/BigInteger.html#BigInteger-int-byte:A-

func (*Integer) FromString 

func (i *Integer) FromString(s string) (err error)

FromString set data from a 10-bases number

func (*Integer) GetSignAndMag 

func (i *Integer) GetSignAndMag() (signum int32, mag []int)

GetSignAndMag is used in hessian encoding

func (*Integer) GobDecode 

func (i *Integer) GobDecode(buf []byte) error

func (*Integer) GobEncode 

func (i *Integer) GobEncode() ([]byte, error)

func (Integer) JavaClassName 

func (Integer) JavaClassName() string

func (*Integer) MarshalJSON 

func (i *Integer) MarshalJSON() ([]byte, error)

func (*Integer) MarshalText 

func (i *Integer) MarshalText() (text []byte, err error)

func (*Integer) SetValue 

func (i *Integer) SetValue(value *big.Int)

func (*Integer) String 

func (i *Integer) String() string

func (*Integer) UnmarshalJSON 

func (i *Integer) UnmarshalJSON(text []byte) error

func (*Integer) UnmarshalText 

func (i *Integer) UnmarshalText(text []byte) error

func (*Integer) Value 

func (i *Integer) Value() *big.Int

type RoundMode 

type RoundMode int32

RoundMode is the type for round mode. 

const (
	DivFracIncr = 4

	// ModeHalfEven rounds normally.
	ModeHalfEven RoundMode = 5
	// Truncate just truncates the decimal.
	ModeTruncate RoundMode = 10
)

constant values.

Source Files

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