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 }