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Diffstat (limited to 'src/pkg/strconv/decimal.go')
-rw-r--r-- | src/pkg/strconv/decimal.go | 378 |
1 files changed, 0 insertions, 378 deletions
diff --git a/src/pkg/strconv/decimal.go b/src/pkg/strconv/decimal.go deleted file mode 100644 index 42601283d..000000000 --- a/src/pkg/strconv/decimal.go +++ /dev/null @@ -1,378 +0,0 @@ -// 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 - nd int // number of digits used - dp int // decimal point - neg bool - 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. -// Signed int has 31 bits, and we have to be able to accommodate 9<<k. -const maxShift = 27 - -// 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. - n := 0 - 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 := int(a.d[r]) - n = n*10 + c - '0' - } - a.dp -= r - 1 - - // Pick up a digit, put down a digit. - for ; r < a.nd; r++ { - c := int(a.d[r]) - dig := n >> k - n -= dig << k - a.d[w] = byte(dig + '0') - w++ - n = n*10 + c - '0' - } - - // Put down extra digits. - for n > 0 { - dig := n >> k - n -= dig << k - 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. - /* - seq 27 | sed 's/^/5^/' | bc | - awk 'BEGIN{ print "\tleftCheat{ 0, \"\" }," } - { - log2 = log(2)/log(10) - printf("\tleftCheat{ %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 -} - -// 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 - n := 0 - - // Pick up a digit, put down a digit. - for r--; r >= 0; r-- { - n += (int(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 -} |