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authorDaniil Cherednik <dan.cherednik@gmail.com>2022-11-24 13:14:34 +0300
committerDaniil Cherednik <dan.cherednik@gmail.com>2022-11-24 14:46:00 +0300
commit87f7fceed34bcafb8aaff351dd493a35c916986f (patch)
tree26809ec8f550aba8eb019e59adc3d48e51913eb2 /contrib/go/_std_1.18/src/strconv/decimal.go
parent11bc4015b8010ae201bf3eb33db7dba425aca35e (diff)
downloadydb-87f7fceed34bcafb8aaff351dd493a35c916986f.tar.gz
Ydb stable 22-4-4322.4.43
x-stable-origin-commit: 8d49d46cc834835bf3e50870516acd7376a63bcf
Diffstat (limited to 'contrib/go/_std_1.18/src/strconv/decimal.go')
-rw-r--r--contrib/go/_std_1.18/src/strconv/decimal.go415
1 files changed, 415 insertions, 0 deletions
diff --git a/contrib/go/_std_1.18/src/strconv/decimal.go b/contrib/go/_std_1.18/src/strconv/decimal.go
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+// Copyright 2009 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Multiprecision decimal numbers.
+// For floating-point formatting only; not general purpose.
+// Only operations are assign and (binary) left/right shift.
+// Can do binary floating point in multiprecision decimal precisely
+// because 2 divides 10; cannot do decimal floating point
+// in multiprecision binary precisely.
+
+package strconv
+
+type decimal struct {
+ d [800]byte // digits, big-endian representation
+ nd int // number of digits used
+ dp int // decimal point
+ neg bool // negative flag
+ trunc bool // discarded nonzero digits beyond d[:nd]
+}
+
+func (a *decimal) String() string {
+ n := 10 + a.nd
+ if a.dp > 0 {
+ n += a.dp
+ }
+ if a.dp < 0 {
+ n += -a.dp
+ }
+
+ buf := make([]byte, n)
+ w := 0
+ switch {
+ case a.nd == 0:
+ return "0"
+
+ case a.dp <= 0:
+ // zeros fill space between decimal point and digits
+ buf[w] = '0'
+ w++
+ buf[w] = '.'
+ w++
+ w += digitZero(buf[w : w+-a.dp])
+ w += copy(buf[w:], a.d[0:a.nd])
+
+ case a.dp < a.nd:
+ // decimal point in middle of digits
+ w += copy(buf[w:], a.d[0:a.dp])
+ buf[w] = '.'
+ w++
+ w += copy(buf[w:], a.d[a.dp:a.nd])
+
+ default:
+ // zeros fill space between digits and decimal point
+ w += copy(buf[w:], a.d[0:a.nd])
+ w += digitZero(buf[w : w+a.dp-a.nd])
+ }
+ return string(buf[0:w])
+}
+
+func digitZero(dst []byte) int {
+ for i := range dst {
+ dst[i] = '0'
+ }
+ return len(dst)
+}
+
+// trim trailing zeros from number.
+// (They are meaningless; the decimal point is tracked
+// independent of the number of digits.)
+func trim(a *decimal) {
+ for a.nd > 0 && a.d[a.nd-1] == '0' {
+ a.nd--
+ }
+ if a.nd == 0 {
+ a.dp = 0
+ }
+}
+
+// Assign v to a.
+func (a *decimal) Assign(v uint64) {
+ var buf [24]byte
+
+ // Write reversed decimal in buf.
+ n := 0
+ for v > 0 {
+ v1 := v / 10
+ v -= 10 * v1
+ buf[n] = byte(v + '0')
+ n++
+ v = v1
+ }
+
+ // Reverse again to produce forward decimal in a.d.
+ a.nd = 0
+ for n--; n >= 0; n-- {
+ a.d[a.nd] = buf[n]
+ a.nd++
+ }
+ a.dp = a.nd
+ trim(a)
+}
+
+// Maximum shift that we can do in one pass without overflow.
+// A uint has 32 or 64 bits, and we have to be able to accommodate 9<<k.
+const uintSize = 32 << (^uint(0) >> 63)
+const maxShift = uintSize - 4
+
+// Binary shift right (/ 2) by k bits. k <= maxShift to avoid overflow.
+func rightShift(a *decimal, k uint) {
+ r := 0 // read pointer
+ w := 0 // write pointer
+
+ // Pick up enough leading digits to cover first shift.
+ var n uint
+ for ; n>>k == 0; r++ {
+ if r >= a.nd {
+ if n == 0 {
+ // a == 0; shouldn't get here, but handle anyway.
+ a.nd = 0
+ return
+ }
+ for n>>k == 0 {
+ n = n * 10
+ r++
+ }
+ break
+ }
+ c := uint(a.d[r])
+ n = n*10 + c - '0'
+ }
+ a.dp -= r - 1
+
+ var mask uint = (1 << k) - 1
+
+ // Pick up a digit, put down a digit.
+ for ; r < a.nd; r++ {
+ c := uint(a.d[r])
+ dig := n >> k
+ n &= mask
+ a.d[w] = byte(dig + '0')
+ w++
+ n = n*10 + c - '0'
+ }
+
+ // Put down extra digits.
+ for n > 0 {
+ dig := n >> k
+ n &= mask
+ if w < len(a.d) {
+ a.d[w] = byte(dig + '0')
+ w++
+ } else if dig > 0 {
+ a.trunc = true
+ }
+ n = n * 10
+ }
+
+ a.nd = w
+ trim(a)
+}
+
+// Cheat sheet for left shift: table indexed by shift count giving
+// number of new digits that will be introduced by that shift.
+//
+// For example, leftcheats[4] = {2, "625"}. That means that
+// if we are shifting by 4 (multiplying by 16), it will add 2 digits
+// when the string prefix is "625" through "999", and one fewer digit
+// if the string prefix is "000" through "624".
+//
+// Credit for this trick goes to Ken.
+
+type leftCheat struct {
+ delta int // number of new digits
+ cutoff string // minus one digit if original < a.
+}
+
+var leftcheats = []leftCheat{
+ // Leading digits of 1/2^i = 5^i.
+ // 5^23 is not an exact 64-bit floating point number,
+ // so have to use bc for the math.
+ // Go up to 60 to be large enough for 32bit and 64bit platforms.
+ /*
+ seq 60 | sed 's/^/5^/' | bc |
+ awk 'BEGIN{ print "\t{ 0, \"\" }," }
+ {
+ log2 = log(2)/log(10)
+ printf("\t{ %d, \"%s\" },\t// * %d\n",
+ int(log2*NR+1), $0, 2**NR)
+ }'
+ */
+ {0, ""},
+ {1, "5"}, // * 2
+ {1, "25"}, // * 4
+ {1, "125"}, // * 8
+ {2, "625"}, // * 16
+ {2, "3125"}, // * 32
+ {2, "15625"}, // * 64
+ {3, "78125"}, // * 128
+ {3, "390625"}, // * 256
+ {3, "1953125"}, // * 512
+ {4, "9765625"}, // * 1024
+ {4, "48828125"}, // * 2048
+ {4, "244140625"}, // * 4096
+ {4, "1220703125"}, // * 8192
+ {5, "6103515625"}, // * 16384
+ {5, "30517578125"}, // * 32768
+ {5, "152587890625"}, // * 65536
+ {6, "762939453125"}, // * 131072
+ {6, "3814697265625"}, // * 262144
+ {6, "19073486328125"}, // * 524288
+ {7, "95367431640625"}, // * 1048576
+ {7, "476837158203125"}, // * 2097152
+ {7, "2384185791015625"}, // * 4194304
+ {7, "11920928955078125"}, // * 8388608
+ {8, "59604644775390625"}, // * 16777216
+ {8, "298023223876953125"}, // * 33554432
+ {8, "1490116119384765625"}, // * 67108864
+ {9, "7450580596923828125"}, // * 134217728
+ {9, "37252902984619140625"}, // * 268435456
+ {9, "186264514923095703125"}, // * 536870912
+ {10, "931322574615478515625"}, // * 1073741824
+ {10, "4656612873077392578125"}, // * 2147483648
+ {10, "23283064365386962890625"}, // * 4294967296
+ {10, "116415321826934814453125"}, // * 8589934592
+ {11, "582076609134674072265625"}, // * 17179869184
+ {11, "2910383045673370361328125"}, // * 34359738368
+ {11, "14551915228366851806640625"}, // * 68719476736
+ {12, "72759576141834259033203125"}, // * 137438953472
+ {12, "363797880709171295166015625"}, // * 274877906944
+ {12, "1818989403545856475830078125"}, // * 549755813888
+ {13, "9094947017729282379150390625"}, // * 1099511627776
+ {13, "45474735088646411895751953125"}, // * 2199023255552
+ {13, "227373675443232059478759765625"}, // * 4398046511104
+ {13, "1136868377216160297393798828125"}, // * 8796093022208
+ {14, "5684341886080801486968994140625"}, // * 17592186044416
+ {14, "28421709430404007434844970703125"}, // * 35184372088832
+ {14, "142108547152020037174224853515625"}, // * 70368744177664
+ {15, "710542735760100185871124267578125"}, // * 140737488355328
+ {15, "3552713678800500929355621337890625"}, // * 281474976710656
+ {15, "17763568394002504646778106689453125"}, // * 562949953421312
+ {16, "88817841970012523233890533447265625"}, // * 1125899906842624
+ {16, "444089209850062616169452667236328125"}, // * 2251799813685248
+ {16, "2220446049250313080847263336181640625"}, // * 4503599627370496
+ {16, "11102230246251565404236316680908203125"}, // * 9007199254740992
+ {17, "55511151231257827021181583404541015625"}, // * 18014398509481984
+ {17, "277555756156289135105907917022705078125"}, // * 36028797018963968
+ {17, "1387778780781445675529539585113525390625"}, // * 72057594037927936
+ {18, "6938893903907228377647697925567626953125"}, // * 144115188075855872
+ {18, "34694469519536141888238489627838134765625"}, // * 288230376151711744
+ {18, "173472347597680709441192448139190673828125"}, // * 576460752303423488
+ {19, "867361737988403547205962240695953369140625"}, // * 1152921504606846976
+}
+
+// Is the leading prefix of b lexicographically less than s?
+func prefixIsLessThan(b []byte, s string) bool {
+ for i := 0; i < len(s); i++ {
+ if i >= len(b) {
+ return true
+ }
+ if b[i] != s[i] {
+ return b[i] < s[i]
+ }
+ }
+ return false
+}
+
+// Binary shift left (* 2) by k bits. k <= maxShift to avoid overflow.
+func leftShift(a *decimal, k uint) {
+ delta := leftcheats[k].delta
+ if prefixIsLessThan(a.d[0:a.nd], leftcheats[k].cutoff) {
+ delta--
+ }
+
+ r := a.nd // read index
+ w := a.nd + delta // write index
+
+ // Pick up a digit, put down a digit.
+ var n uint
+ for r--; r >= 0; r-- {
+ n += (uint(a.d[r]) - '0') << k
+ quo := n / 10
+ rem := n - 10*quo
+ w--
+ if w < len(a.d) {
+ a.d[w] = byte(rem + '0')
+ } else if rem != 0 {
+ a.trunc = true
+ }
+ n = quo
+ }
+
+ // Put down extra digits.
+ for n > 0 {
+ quo := n / 10
+ rem := n - 10*quo
+ w--
+ if w < len(a.d) {
+ a.d[w] = byte(rem + '0')
+ } else if rem != 0 {
+ a.trunc = true
+ }
+ n = quo
+ }
+
+ a.nd += delta
+ if a.nd >= len(a.d) {
+ a.nd = len(a.d)
+ }
+ a.dp += delta
+ trim(a)
+}
+
+// Binary shift left (k > 0) or right (k < 0).
+func (a *decimal) Shift(k int) {
+ switch {
+ case a.nd == 0:
+ // nothing to do: a == 0
+ case k > 0:
+ for k > maxShift {
+ leftShift(a, maxShift)
+ k -= maxShift
+ }
+ leftShift(a, uint(k))
+ case k < 0:
+ for k < -maxShift {
+ rightShift(a, maxShift)
+ k += maxShift
+ }
+ rightShift(a, uint(-k))
+ }
+}
+
+// If we chop a at nd digits, should we round up?
+func shouldRoundUp(a *decimal, nd int) bool {
+ if nd < 0 || nd >= a.nd {
+ return false
+ }
+ if a.d[nd] == '5' && nd+1 == a.nd { // exactly halfway - round to even
+ // if we truncated, a little higher than what's recorded - always round up
+ if a.trunc {
+ return true
+ }
+ return nd > 0 && (a.d[nd-1]-'0')%2 != 0
+ }
+ // not halfway - digit tells all
+ return a.d[nd] >= '5'
+}
+
+// Round a to nd digits (or fewer).
+// If nd is zero, it means we're rounding
+// just to the left of the digits, as in
+// 0.09 -> 0.1.
+func (a *decimal) Round(nd int) {
+ if nd < 0 || nd >= a.nd {
+ return
+ }
+ if shouldRoundUp(a, nd) {
+ a.RoundUp(nd)
+ } else {
+ a.RoundDown(nd)
+ }
+}
+
+// Round a down to nd digits (or fewer).
+func (a *decimal) RoundDown(nd int) {
+ if nd < 0 || nd >= a.nd {
+ return
+ }
+ a.nd = nd
+ trim(a)
+}
+
+// Round a up to nd digits (or fewer).
+func (a *decimal) RoundUp(nd int) {
+ if nd < 0 || nd >= a.nd {
+ return
+ }
+
+ // round up
+ for i := nd - 1; i >= 0; i-- {
+ c := a.d[i]
+ if c < '9' { // can stop after this digit
+ a.d[i]++
+ a.nd = i + 1
+ return
+ }
+ }
+
+ // Number is all 9s.
+ // Change to single 1 with adjusted decimal point.
+ a.d[0] = '1'
+ a.nd = 1
+ a.dp++
+}
+
+// Extract integer part, rounded appropriately.
+// No guarantees about overflow.
+func (a *decimal) RoundedInteger() uint64 {
+ if a.dp > 20 {
+ return 0xFFFFFFFFFFFFFFFF
+ }
+ var i int
+ n := uint64(0)
+ for i = 0; i < a.dp && i < a.nd; i++ {
+ n = n*10 + uint64(a.d[i]-'0')
+ }
+ for ; i < a.dp; i++ {
+ n *= 10
+ }
+ if shouldRoundUp(a, a.dp) {
+ n++
+ }
+ return n
+}