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path: root/src/lib/strconv/decimal.go
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-rw-r--r--src/lib/strconv/decimal.go392
1 files changed, 0 insertions, 392 deletions
diff --git a/src/lib/strconv/decimal.go b/src/lib/strconv/decimal.go
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index 38d9c47fb..000000000
--- a/src/lib/strconv/decimal.go
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@@ -1,392 +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
-
-import "bytes"
-
-type decimal struct {
- // TODO(rsc): Can make d[] a bit smaller and add
- // truncated bool;
- d [2000] byte; // digits
- nd int; // number of digits used
- dp int; // decimal point
-};
-func (a *decimal) String() string;
-func (a *decimal) Assign(v uint64);
-func (a *decimal) Shift(k int) *decimal;
-func (a *decimal) Round(nd int) *decimal;
-func (a *decimal) RoundUp(nd int) *decimal;
-func (a *decimal) RoundDown(nd int) *decimal;
-func (a *decimal) RoundedInteger() uint64;
-
-
-func digitZero(dst []byte) int;
-
-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 += bytes.Copy(buf[w:w+a.nd], a.d[0:a.nd]);
-
- case a.dp < a.nd:
- // decimal point in middle of digits
- w += bytes.Copy(buf[w:w+a.dp], a.d[0:a.dp]);
- buf[w] = '.';
- w++;
- w += bytes.Copy(buf[w:w+a.nd-a.dp], a.d[a.dp:a.nd]);
-
- default:
- // zeros fill space between digits and decimal point
- w += bytes.Copy(buf[w:w+a.nd], a.d[0:a.nd]);
- w += digitZero(buf[w:w+a.dp-a.nd]);
- }
- return string(buf[0:w]);
-}
-
-func copy(dst []byte, src []byte) int {
- for i := 0; i < len(dst); i++ {
- dst[i] = src[i];
- }
- return len(dst);
-}
-
-func digitZero(dst []byte) int {
- for i := 0; i < len(dst); i++ {
- 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 [50]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);
-}
-
-func newDecimal(i uint64) *decimal {
- a := new(decimal);
- a.Assign(i);
- return a;
-}
-
-// Maximum shift that we can do in one pass without overflow.
-// Signed int has 31 bits, and we have to be able to accomodate 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;
- a.d[w] = byte(dig+'0');
- w++;
- 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)
- }'
- */
- leftCheat{ 0, "" },
- leftCheat{ 1, "5" }, // * 2
- leftCheat{ 1, "25" }, // * 4
- leftCheat{ 1, "125" }, // * 8
- leftCheat{ 2, "625" }, // * 16
- leftCheat{ 2, "3125" }, // * 32
- leftCheat{ 2, "15625" }, // * 64
- leftCheat{ 3, "78125" }, // * 128
- leftCheat{ 3, "390625" }, // * 256
- leftCheat{ 3, "1953125" }, // * 512
- leftCheat{ 4, "9765625" }, // * 1024
- leftCheat{ 4, "48828125" }, // * 2048
- leftCheat{ 4, "244140625" }, // * 4096
- leftCheat{ 4, "1220703125" }, // * 8192
- leftCheat{ 5, "6103515625" }, // * 16384
- leftCheat{ 5, "30517578125" }, // * 32768
- leftCheat{ 5, "152587890625" }, // * 65536
- leftCheat{ 6, "762939453125" }, // * 131072
- leftCheat{ 6, "3814697265625" }, // * 262144
- leftCheat{ 6, "19073486328125" }, // * 524288
- leftCheat{ 7, "95367431640625" }, // * 1048576
- leftCheat{ 7, "476837158203125" }, // * 2097152
- leftCheat{ 7, "2384185791015625" }, // * 4194304
- leftCheat{ 7, "11920928955078125" }, // * 8388608
- leftCheat{ 8, "59604644775390625" }, // * 16777216
- leftCheat{ 8, "298023223876953125" }, // * 33554432
- leftCheat{ 8, "1490116119384765625" }, // * 67108864
- leftCheat{ 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--;
- a.d[w] = byte(rem+'0');
- n = quo;
- }
-
- // Put down extra digits.
- for n > 0 {
- quo := n/10;
- rem := n - 10*quo;
- w--;
- a.d[w] = byte(rem+'0');
- n = quo;
- }
-
- if w != 0 {
- // TODO: Remove - has no business panicking.
- panicln("strconv: bad leftShift", w);
- }
- a.nd += delta;
- a.dp += delta;
- trim(a);
-}
-
-// Binary shift left (k > 0) or right (k < 0).
-// Returns receiver for convenience.
-func (a *decimal) Shift(k int) *decimal {
- 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));
- }
- return a;
-}
-
-// 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
- return (a.d[nd-1] - '0') % 2 != 0;
- }
- // not halfway - digit tells all
- return a.d[nd] >= '5';
-}
-
-// Round a to nd digits (or fewer).
-// Returns receiver for convenience.
-func (a *decimal) Round(nd int) *decimal {
- if nd <= 0 || nd >= a.nd {
- return a;
- }
- if(shouldRoundUp(a, nd)) {
- return a.RoundUp(nd);
- }
- return a.RoundDown(nd);
-}
-
-// Round a down to nd digits (or fewer).
-// Returns receiver for convenience.
-func (a *decimal) RoundDown(nd int) *decimal {
- if nd <= 0 || nd >= a.nd {
- return a;
- }
- a.nd = nd;
- trim(a);
- return a;
-}
-
-// Round a up to nd digits (or fewer).
-// Returns receiver for convenience.
-func (a *decimal) RoundUp(nd int) *decimal {
- if nd <= 0 || nd >= a.nd {
- return a;
- }
-
- // 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 a;
- }
- }
-
- // Number is all 9s.
- // Change to single 1 with adjusted decimal point.
- a.d[0] = '1';
- a.nd = 1;
- a.dp++;
- return a;
-}
-
-// 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;
-}
-