github.com/mdaxf/iac@v0.0.0-20240519030858-58a061660378/vendor_skip/go.mongodb.org/mongo-driver/bson/primitive/decimal.go (about)

     1  // Copyright (C) MongoDB, Inc. 2017-present.
     2  //
     3  // Licensed under the Apache License, Version 2.0 (the "License"); you may
     4  // not use this file except in compliance with the License. You may obtain
     5  // a copy of the License at http://www.apache.org/licenses/LICENSE-2.0
     6  //
     7  // Based on gopkg.in/mgo.v2/bson by Gustavo Niemeyer
     8  // See THIRD-PARTY-NOTICES for original license terms.
     9  
    10  package primitive
    11  
    12  import (
    13  	"encoding/json"
    14  	"errors"
    15  	"fmt"
    16  	"math/big"
    17  	"regexp"
    18  	"strconv"
    19  	"strings"
    20  )
    21  
    22  // These constants are the maximum and minimum values for the exponent field in a decimal128 value.
    23  const (
    24  	MaxDecimal128Exp = 6111
    25  	MinDecimal128Exp = -6176
    26  )
    27  
    28  // These errors are returned when an invalid value is parsed as a big.Int.
    29  var (
    30  	ErrParseNaN    = errors.New("cannot parse NaN as a *big.Int")
    31  	ErrParseInf    = errors.New("cannot parse Infinity as a *big.Int")
    32  	ErrParseNegInf = errors.New("cannot parse -Infinity as a *big.Int")
    33  )
    34  
    35  // Decimal128 holds decimal128 BSON values.
    36  type Decimal128 struct {
    37  	h, l uint64
    38  }
    39  
    40  // NewDecimal128 creates a Decimal128 using the provide high and low uint64s.
    41  func NewDecimal128(h, l uint64) Decimal128 {
    42  	return Decimal128{h: h, l: l}
    43  }
    44  
    45  // GetBytes returns the underlying bytes of the BSON decimal value as two uint64 values. The first
    46  // contains the most first 8 bytes of the value and the second contains the latter.
    47  func (d Decimal128) GetBytes() (uint64, uint64) {
    48  	return d.h, d.l
    49  }
    50  
    51  // String returns a string representation of the decimal value.
    52  func (d Decimal128) String() string {
    53  	var posSign int      // positive sign
    54  	var exp int          // exponent
    55  	var high, low uint64 // significand high/low
    56  
    57  	if d.h>>63&1 == 0 {
    58  		posSign = 1
    59  	}
    60  
    61  	switch d.h >> 58 & (1<<5 - 1) {
    62  	case 0x1F:
    63  		return "NaN"
    64  	case 0x1E:
    65  		return "-Infinity"[posSign:]
    66  	}
    67  
    68  	low = d.l
    69  	if d.h>>61&3 == 3 {
    70  		// Bits: 1*sign 2*ignored 14*exponent 111*significand.
    71  		// Implicit 0b100 prefix in significand.
    72  		exp = int(d.h >> 47 & (1<<14 - 1))
    73  		//high = 4<<47 | d.h&(1<<47-1)
    74  		// Spec says all of these values are out of range.
    75  		high, low = 0, 0
    76  	} else {
    77  		// Bits: 1*sign 14*exponent 113*significand
    78  		exp = int(d.h >> 49 & (1<<14 - 1))
    79  		high = d.h & (1<<49 - 1)
    80  	}
    81  	exp += MinDecimal128Exp
    82  
    83  	// Would be handled by the logic below, but that's trivial and common.
    84  	if high == 0 && low == 0 && exp == 0 {
    85  		return "-0"[posSign:]
    86  	}
    87  
    88  	var repr [48]byte // Loop 5 times over 9 digits plus dot, negative sign, and leading zero.
    89  	var last = len(repr)
    90  	var i = len(repr)
    91  	var dot = len(repr) + exp
    92  	var rem uint32
    93  Loop:
    94  	for d9 := 0; d9 < 5; d9++ {
    95  		high, low, rem = divmod(high, low, 1e9)
    96  		for d1 := 0; d1 < 9; d1++ {
    97  			// Handle "-0.0", "0.00123400", "-1.00E-6", "1.050E+3", etc.
    98  			if i < len(repr) && (dot == i || low == 0 && high == 0 && rem > 0 && rem < 10 && (dot < i-6 || exp > 0)) {
    99  				exp += len(repr) - i
   100  				i--
   101  				repr[i] = '.'
   102  				last = i - 1
   103  				dot = len(repr) // Unmark.
   104  			}
   105  			c := '0' + byte(rem%10)
   106  			rem /= 10
   107  			i--
   108  			repr[i] = c
   109  			// Handle "0E+3", "1E+3", etc.
   110  			if low == 0 && high == 0 && rem == 0 && i == len(repr)-1 && (dot < i-5 || exp > 0) {
   111  				last = i
   112  				break Loop
   113  			}
   114  			if c != '0' {
   115  				last = i
   116  			}
   117  			// Break early. Works without it, but why.
   118  			if dot > i && low == 0 && high == 0 && rem == 0 {
   119  				break Loop
   120  			}
   121  		}
   122  	}
   123  	repr[last-1] = '-'
   124  	last--
   125  
   126  	if exp > 0 {
   127  		return string(repr[last+posSign:]) + "E+" + strconv.Itoa(exp)
   128  	}
   129  	if exp < 0 {
   130  		return string(repr[last+posSign:]) + "E" + strconv.Itoa(exp)
   131  	}
   132  	return string(repr[last+posSign:])
   133  }
   134  
   135  // BigInt returns significand as big.Int and exponent, bi * 10 ^ exp.
   136  func (d Decimal128) BigInt() (*big.Int, int, error) {
   137  	high, low := d.GetBytes()
   138  	posSign := high>>63&1 == 0 // positive sign
   139  
   140  	switch high >> 58 & (1<<5 - 1) {
   141  	case 0x1F:
   142  		return nil, 0, ErrParseNaN
   143  	case 0x1E:
   144  		if posSign {
   145  			return nil, 0, ErrParseInf
   146  		}
   147  		return nil, 0, ErrParseNegInf
   148  	}
   149  
   150  	var exp int
   151  	if high>>61&3 == 3 {
   152  		// Bits: 1*sign 2*ignored 14*exponent 111*significand.
   153  		// Implicit 0b100 prefix in significand.
   154  		exp = int(high >> 47 & (1<<14 - 1))
   155  		//high = 4<<47 | d.h&(1<<47-1)
   156  		// Spec says all of these values are out of range.
   157  		high, low = 0, 0
   158  	} else {
   159  		// Bits: 1*sign 14*exponent 113*significand
   160  		exp = int(high >> 49 & (1<<14 - 1))
   161  		high = high & (1<<49 - 1)
   162  	}
   163  	exp += MinDecimal128Exp
   164  
   165  	// Would be handled by the logic below, but that's trivial and common.
   166  	if high == 0 && low == 0 && exp == 0 {
   167  		if posSign {
   168  			return new(big.Int), 0, nil
   169  		}
   170  		return new(big.Int), 0, nil
   171  	}
   172  
   173  	bi := big.NewInt(0)
   174  	const host32bit = ^uint(0)>>32 == 0
   175  	if host32bit {
   176  		bi.SetBits([]big.Word{big.Word(low), big.Word(low >> 32), big.Word(high), big.Word(high >> 32)})
   177  	} else {
   178  		bi.SetBits([]big.Word{big.Word(low), big.Word(high)})
   179  	}
   180  
   181  	if !posSign {
   182  		return bi.Neg(bi), exp, nil
   183  	}
   184  	return bi, exp, nil
   185  }
   186  
   187  // IsNaN returns whether d is NaN.
   188  func (d Decimal128) IsNaN() bool {
   189  	return d.h>>58&(1<<5-1) == 0x1F
   190  }
   191  
   192  // IsInf returns:
   193  //
   194  //	+1 d == Infinity
   195  //	 0 other case
   196  //	-1 d == -Infinity
   197  func (d Decimal128) IsInf() int {
   198  	if d.h>>58&(1<<5-1) != 0x1E {
   199  		return 0
   200  	}
   201  
   202  	if d.h>>63&1 == 0 {
   203  		return 1
   204  	}
   205  	return -1
   206  }
   207  
   208  // IsZero returns true if d is the empty Decimal128.
   209  func (d Decimal128) IsZero() bool {
   210  	return d.h == 0 && d.l == 0
   211  }
   212  
   213  // MarshalJSON returns Decimal128 as a string.
   214  func (d Decimal128) MarshalJSON() ([]byte, error) {
   215  	return json.Marshal(d.String())
   216  }
   217  
   218  // UnmarshalJSON creates a primitive.Decimal128 from a JSON string, an extended JSON $numberDecimal value, or the string
   219  // "null". If b is a JSON string or extended JSON value, d will have the value of that string, and if b is "null", d will
   220  // be unchanged.
   221  func (d *Decimal128) UnmarshalJSON(b []byte) error {
   222  	// Ignore "null" to keep parity with the standard library. Decoding a JSON null into a non-pointer Decimal128 field
   223  	// will leave the field unchanged. For pointer values, encoding/json will set the pointer to nil and will not
   224  	// enter the UnmarshalJSON hook.
   225  	if string(b) == "null" {
   226  		return nil
   227  	}
   228  
   229  	var res interface{}
   230  	err := json.Unmarshal(b, &res)
   231  	if err != nil {
   232  		return err
   233  	}
   234  	str, ok := res.(string)
   235  
   236  	// Extended JSON
   237  	if !ok {
   238  		m, ok := res.(map[string]interface{})
   239  		if !ok {
   240  			return errors.New("not an extended JSON Decimal128: expected document")
   241  		}
   242  		d128, ok := m["$numberDecimal"]
   243  		if !ok {
   244  			return errors.New("not an extended JSON Decimal128: expected key $numberDecimal")
   245  		}
   246  		str, ok = d128.(string)
   247  		if !ok {
   248  			return errors.New("not an extended JSON Decimal128: expected decimal to be string")
   249  		}
   250  	}
   251  
   252  	*d, err = ParseDecimal128(str)
   253  	return err
   254  }
   255  
   256  func divmod(h, l uint64, div uint32) (qh, ql uint64, rem uint32) {
   257  	div64 := uint64(div)
   258  	a := h >> 32
   259  	aq := a / div64
   260  	ar := a % div64
   261  	b := ar<<32 + h&(1<<32-1)
   262  	bq := b / div64
   263  	br := b % div64
   264  	c := br<<32 + l>>32
   265  	cq := c / div64
   266  	cr := c % div64
   267  	d := cr<<32 + l&(1<<32-1)
   268  	dq := d / div64
   269  	dr := d % div64
   270  	return (aq<<32 | bq), (cq<<32 | dq), uint32(dr)
   271  }
   272  
   273  var dNaN = Decimal128{0x1F << 58, 0}
   274  var dPosInf = Decimal128{0x1E << 58, 0}
   275  var dNegInf = Decimal128{0x3E << 58, 0}
   276  
   277  func dErr(s string) (Decimal128, error) {
   278  	return dNaN, fmt.Errorf("cannot parse %q as a decimal128", s)
   279  }
   280  
   281  // match scientific notation number, example -10.15e-18
   282  var normalNumber = regexp.MustCompile(`^(?P<int>[-+]?\d*)?(?:\.(?P<dec>\d*))?(?:[Ee](?P<exp>[-+]?\d+))?$`)
   283  
   284  // ParseDecimal128 takes the given string and attempts to parse it into a valid
   285  // Decimal128 value.
   286  func ParseDecimal128(s string) (Decimal128, error) {
   287  	if s == "" {
   288  		return dErr(s)
   289  	}
   290  
   291  	matches := normalNumber.FindStringSubmatch(s)
   292  	if len(matches) == 0 {
   293  		orig := s
   294  		neg := s[0] == '-'
   295  		if neg || s[0] == '+' {
   296  			s = s[1:]
   297  		}
   298  
   299  		if s == "NaN" || s == "nan" || strings.EqualFold(s, "nan") {
   300  			return dNaN, nil
   301  		}
   302  		if s == "Inf" || s == "inf" || strings.EqualFold(s, "inf") || strings.EqualFold(s, "infinity") {
   303  			if neg {
   304  				return dNegInf, nil
   305  			}
   306  			return dPosInf, nil
   307  		}
   308  		return dErr(orig)
   309  	}
   310  
   311  	intPart := matches[1]
   312  	decPart := matches[2]
   313  	expPart := matches[3]
   314  
   315  	var err error
   316  	exp := 0
   317  	if expPart != "" {
   318  		exp, err = strconv.Atoi(expPart)
   319  		if err != nil {
   320  			return dErr(s)
   321  		}
   322  	}
   323  	if decPart != "" {
   324  		exp -= len(decPart)
   325  	}
   326  
   327  	if len(strings.Trim(intPart+decPart, "-0")) > 35 {
   328  		return dErr(s)
   329  	}
   330  
   331  	// Parse the significand (i.e. the non-exponent part) as a big.Int.
   332  	bi, ok := new(big.Int).SetString(intPart+decPart, 10)
   333  	if !ok {
   334  		return dErr(s)
   335  	}
   336  
   337  	d, ok := ParseDecimal128FromBigInt(bi, exp)
   338  	if !ok {
   339  		return dErr(s)
   340  	}
   341  
   342  	if bi.Sign() == 0 && s[0] == '-' {
   343  		d.h |= 1 << 63
   344  	}
   345  
   346  	return d, nil
   347  }
   348  
   349  var (
   350  	ten  = big.NewInt(10)
   351  	zero = new(big.Int)
   352  
   353  	maxS, _ = new(big.Int).SetString("9999999999999999999999999999999999", 10)
   354  )
   355  
   356  // ParseDecimal128FromBigInt attempts to parse the given significand and exponent into a valid Decimal128 value.
   357  func ParseDecimal128FromBigInt(bi *big.Int, exp int) (Decimal128, bool) {
   358  	//copy
   359  	bi = new(big.Int).Set(bi)
   360  
   361  	q := new(big.Int)
   362  	r := new(big.Int)
   363  
   364  	// If the significand is zero, the logical value will always be zero, independent of the
   365  	// exponent. However, the loops for handling out-of-range exponent values below may be extremely
   366  	// slow for zero values because the significand never changes. Limit the exponent value to the
   367  	// supported range here to prevent entering the loops below.
   368  	if bi.Cmp(zero) == 0 {
   369  		if exp > MaxDecimal128Exp {
   370  			exp = MaxDecimal128Exp
   371  		}
   372  		if exp < MinDecimal128Exp {
   373  			exp = MinDecimal128Exp
   374  		}
   375  	}
   376  
   377  	for bigIntCmpAbs(bi, maxS) == 1 {
   378  		bi, _ = q.QuoRem(bi, ten, r)
   379  		if r.Cmp(zero) != 0 {
   380  			return Decimal128{}, false
   381  		}
   382  		exp++
   383  		if exp > MaxDecimal128Exp {
   384  			return Decimal128{}, false
   385  		}
   386  	}
   387  
   388  	for exp < MinDecimal128Exp {
   389  		// Subnormal.
   390  		bi, _ = q.QuoRem(bi, ten, r)
   391  		if r.Cmp(zero) != 0 {
   392  			return Decimal128{}, false
   393  		}
   394  		exp++
   395  	}
   396  	for exp > MaxDecimal128Exp {
   397  		// Clamped.
   398  		bi.Mul(bi, ten)
   399  		if bigIntCmpAbs(bi, maxS) == 1 {
   400  			return Decimal128{}, false
   401  		}
   402  		exp--
   403  	}
   404  
   405  	b := bi.Bytes()
   406  	var h, l uint64
   407  	for i := 0; i < len(b); i++ {
   408  		if i < len(b)-8 {
   409  			h = h<<8 | uint64(b[i])
   410  			continue
   411  		}
   412  		l = l<<8 | uint64(b[i])
   413  	}
   414  
   415  	h |= uint64(exp-MinDecimal128Exp) & uint64(1<<14-1) << 49
   416  	if bi.Sign() == -1 {
   417  		h |= 1 << 63
   418  	}
   419  
   420  	return Decimal128{h: h, l: l}, true
   421  }
   422  
   423  // bigIntCmpAbs computes big.Int.Cmp(absoluteValue(x), absoluteValue(y)).
   424  func bigIntCmpAbs(x, y *big.Int) int {
   425  	xAbs := bigIntAbsValue(x)
   426  	yAbs := bigIntAbsValue(y)
   427  	return xAbs.Cmp(yAbs)
   428  }
   429  
   430  // bigIntAbsValue returns a big.Int containing the absolute value of b.
   431  // If b is already a non-negative number, it is returned without any changes or copies.
   432  func bigIntAbsValue(b *big.Int) *big.Int {
   433  	if b.Sign() >= 0 {
   434  		return b // already positive
   435  	}
   436  	return new(big.Int).Abs(b)
   437  }