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/******************************************************************************* | ||
The MIT License (MIT) | ||
Copyright (c) 2019 Hajime Nakagami | ||
Permission is hereby granted, free of charge, to any person obtaining a copy of | ||
this software and associated documentation files (the "Software"), to deal in | ||
the Software without restriction, including without limitation the rights to | ||
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of | ||
the Software, and to permit persons to whom the Software is furnished to do so, | ||
subject to the following conditions: | ||
The above copyright notice and this permission notice shall be included in all | ||
copies or substantial portions of the Software. | ||
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS | ||
FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR | ||
COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER | ||
IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN | ||
CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. | ||
*******************************************************************************/ | ||
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package firebirdsql | ||
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import ( | ||
"github.com/shopspring/decimal" | ||
"math" | ||
"math/big" | ||
) | ||
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func dpdBitToInt(dpd uint, mask uint) int { | ||
if (dpd & mask) != 0 { | ||
return 1 | ||
} else { | ||
return 0 | ||
} | ||
} | ||
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func dpdToInt(dpd uint) int { | ||
// Convert DPD encodined value to int (0-999) | ||
// dpd: DPD encoded value. 10bit unsigned int | ||
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b := make([]int, 10) | ||
b[9] = dpdBitToInt(dpd, 0x0200) | ||
b[8] = dpdBitToInt(dpd, 0x0100) | ||
b[7] = dpdBitToInt(dpd, 0x0080) | ||
b[6] = dpdBitToInt(dpd, 0x0040) | ||
b[5] = dpdBitToInt(dpd, 0x0020) | ||
b[4] = dpdBitToInt(dpd, 0x0010) | ||
b[3] = dpdBitToInt(dpd, 0x0008) | ||
b[2] = dpdBitToInt(dpd, 0x0004) | ||
b[1] = dpdBitToInt(dpd, 0x0002) | ||
b[0] = dpdBitToInt(dpd, 0x0001) | ||
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d := make([]int, 3) | ||
if b[3] == 0 { | ||
d[2] = b[9]*4 + b[8]*2 + b[7] | ||
d[1] = b[6]*4 + b[5]*2 + b[4] | ||
d[0] = b[2]*4 + b[1]*2 + b[0] | ||
} else if b[3] == 1 && b[2] == 0 && b[1] == 0 { | ||
d[2] = b[9]*4 + b[8]*2 + b[7] | ||
d[1] = b[6]*4 + b[5]*2 + b[4] | ||
d[0] = 8 + b[0] | ||
} else if b[3] == 1 && b[2] == 0 && b[1] == 1 { | ||
d[2] = b[9]*4 + b[8]*2 + b[7] | ||
d[1] = 8 + b[4] | ||
d[0] = b[6]*4 + b[5]*2 + b[0] | ||
} else if b[3] == 1 && b[2] == 1 && b[1] == 0 { | ||
d[2] = 8 + b[7] | ||
d[1] = b[6]*4 + b[5]*2 + b[4] | ||
d[0] = b[9]*4 + b[8]*2 + b[0] | ||
} else if b[6] == 0 && b[5] == 0 && b[3] == 1 && b[2] == 1 && b[1] == 1 { | ||
d[2] = 8 + b[7] | ||
d[1] = 8 + b[4] | ||
d[0] = b[9]*4 + b[8]*2 + b[0] | ||
} else if b[6] == 0 && b[5] == 1 && b[3] == 1 && b[2] == 1 && b[1] == 1 { | ||
d[2] = 8 + b[7] | ||
d[1] = b[9]*4 + b[8]*2 + b[4] | ||
d[0] = 8 + b[0] | ||
} else if b[6] == 1 && b[5] == 0 && b[3] == 1 && b[2] == 1 && b[1] == 1 { | ||
d[2] = b[9]*4 + b[8]*2 + b[7] | ||
d[1] = 8 + b[4] | ||
d[0] = 8 + b[0] | ||
} else if b[6] == 1 && b[5] == 1 && b[3] == 1 && b[2] == 1 && b[1] == 1 { | ||
d[2] = 8 + b[7] | ||
d[1] = 8 + b[4] | ||
d[0] = 8 + b[0] | ||
} else { | ||
panic("Invalid DPD encoding") | ||
} | ||
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return d[2]*100 + d[1]*10 + d[0] | ||
} | ||
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func calcSignificand(prefix int64, dpdBits *big.Int, numBits int) *big.Int { | ||
// prefix: High bits integer value | ||
// dpdBits: dpd encoded bits | ||
// numBits: bit length of dpd_bits | ||
// https://en.wikipedia.org/wiki/Decimal128_floating-point_format#Densely_packed_decimal_significand_field | ||
numSegments := numBits / 10 | ||
segments := make([]uint, numSegments) | ||
bi1024 := big.NewInt(1024) | ||
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for i := 0; i < numSegments; i++ { | ||
var work big.Int | ||
work = *dpdBits | ||
segments[numSegments-i-1] = uint(dpdBits.Mod(&work, bi1024).Int64()) | ||
dpdBits.Rsh(dpdBits, 10) | ||
} | ||
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v := big.NewInt(prefix) | ||
bi1000 := big.NewInt(1000) | ||
for _, dpd := range segments { | ||
v.Mul(v, bi1000) | ||
v.Add(v, big.NewInt(int64(dpd))) | ||
} | ||
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return v | ||
} | ||
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func decimal128ToSignDigitsExponent(b []byte) (v *decimal.Decimal, sign int, digits *big.Int, exponent int32) { | ||
// https://en.wikipedia.org/wiki/Decimal128_floating-point_format | ||
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var prefix int64 | ||
if (b[0] & 0x80) == 0x80 { | ||
sign = 1 | ||
} | ||
cf := (uint32(b[0]&0x7f) << 10) + uint32(b[1]<<2) + uint32(b[2]>>6) | ||
if (cf & 0x1F000) == 0x1F000 { | ||
var d decimal.Decimal | ||
if sign == 1 { | ||
// Is there -NaN ? | ||
d = decimal.NewFromFloat(math.NaN()) | ||
} else { | ||
d = decimal.NewFromFloat(math.NaN()) | ||
} | ||
v = &d | ||
return | ||
} else if (cf & 0x1F000) == 0x1E000 { | ||
var d decimal.Decimal | ||
if sign == 1 { | ||
d = decimal.NewFromFloat(math.Inf(-1)) | ||
} else { | ||
d = decimal.NewFromFloat(math.Inf(1)) | ||
} | ||
v = &d | ||
return | ||
} else if (cf & 0x18000) == 0x00000 { | ||
exponent = int32(0x0000 + (cf & 0x00fff)) | ||
prefix = int64((cf >> 12) & 0x07) | ||
} else if (cf & 0x18000) == 0x08000 { | ||
exponent = int32(0x1000 + (cf & 0x00fff)) | ||
prefix = int64((cf >> 12) & 0x07) | ||
} else if (cf & 0x18000) == 0x10000 { | ||
exponent = int32(0x2000 + (cf & 0x00fff)) | ||
prefix = int64((cf >> 12) & 0x07) | ||
} else if (cf & 0x1e000) == 0x18000 { | ||
exponent = int32(0x0000 + (cf & 0x00fff)) | ||
prefix = int64(8 + (cf>>12)&0x01) | ||
} else if (cf & 0x1e000) == 0x1a000 { | ||
exponent = int32(0x1000 + (cf & 0x00fff)) | ||
prefix = int64(8 + (cf>>12)&0x01) | ||
} else if (cf & 0x1e000) == 0x1c000 { | ||
exponent = int32(0x2000 + (cf & 0x00fff)) | ||
prefix = int64(8 + (cf>>12)&0x01) | ||
} else { | ||
panic("decimal128 value error") | ||
} | ||
exponent -= 6176 | ||
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dpdBits := bytesToBig(b) | ||
mask := bigFromHexString("3fffffffffffffffffffffffffff") | ||
dpdBits.Add(dpdBits, mask) | ||
digits = calcSignificand(prefix, dpdBits, 110) | ||
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return | ||
} | ||
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func decimalFixedToDecimal(b []byte, scale int32) decimal.Decimal { | ||
v, sign, digits, _ := decimal128ToSignDigitsExponent(b) | ||
if v != nil { | ||
return *v | ||
} | ||
if sign != 0 { | ||
digits.Mul(digits, big.NewInt(-1)) | ||
} | ||
return decimal.NewFromBigInt(digits, scale) | ||
} | ||
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func decimal64ToDecimal(b []byte) decimal.Decimal { | ||
// https://en.wikipedia.org/wiki/Decimal64_floating-point_format | ||
var prefix int64 | ||
var sign int | ||
if (b[0] & 0x80) == 0x80 { | ||
sign = 1 | ||
} | ||
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cf := (uint32(b[0]) >> 2) & 0x1f | ||
exponent := ((int32(b[0]) & 3) << 6) + ((int32(b[1]) >> 2) & 0x3f) | ||
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dpdBits := bytesToBig(b) | ||
mask := bigFromHexString("3ffffffffffff") | ||
dpdBits.Add(dpdBits, mask) | ||
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if cf == 0x1f { | ||
if sign == 1 { | ||
// Is there -NaN ? | ||
return decimal.NewFromFloat(math.NaN()) | ||
} else { | ||
return decimal.NewFromFloat(math.NaN()) | ||
} | ||
} else if cf == 0x1e { | ||
if sign == 1 { | ||
return decimal.NewFromFloat(math.Inf(-1)) | ||
} else { | ||
return decimal.NewFromFloat(math.Inf(1)) | ||
} | ||
} else if (cf & 0x18) == 0x00 { | ||
exponent = 0x000 + exponent | ||
prefix = int64(cf & 0x07) | ||
} else if (cf & 0x18) == 0x08 { | ||
exponent = 0x100 + exponent | ||
prefix = int64(cf & 0x07) | ||
} else if (cf & 0x18) == 0x10 { | ||
exponent = 0x200 + exponent | ||
prefix = int64(cf & 0x07) | ||
} else if (cf & 0x1e) == 0x18 { | ||
exponent = 0x000 + exponent | ||
prefix = int64(8 + cf&1) | ||
} else if (cf & 0x1e) == 0x1a { | ||
exponent = 0x100 + exponent | ||
prefix = int64(8 + cf&1) | ||
} else if (cf & 0x1e) == 0x1c { | ||
exponent = 0x200 + exponent | ||
prefix = int64(8 + cf&1) | ||
} else { | ||
panic("decimal64 value error") | ||
} | ||
digits := calcSignificand(prefix, dpdBits, 50) | ||
exponent -= 398 | ||
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if sign != 0 { | ||
digits.Mul(digits, big.NewInt(-1)) | ||
} | ||
return decimal.NewFromBigInt(digits, exponent) | ||
} | ||
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func decimal128ToDecimal(b []byte) decimal.Decimal { | ||
// https://en.wikipedia.org/wiki/Decimal64_floating-point_format | ||
v, sign, digits, exponent := decimal128ToSignDigitsExponent(b) | ||
if v != nil { | ||
return *v | ||
} | ||
if sign != 0 { | ||
digits.Mul(digits, big.NewInt(-1)) | ||
} | ||
return decimal.NewFromBigInt(digits, exponent) | ||
} |
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