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# Auto detect text files and perform LF normalization
* text=auto

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nimcache/

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// Place your settings in this file to overwrite default and user settings.
{
"editor.tabSize": 2,
"indentRainbow.includedLanguages": [
"nim"
],
"files.autoSave": "afterDelay",
"workbench.editor.enablePreview": false,
"nim.buildOnSave": false,
"editor.formatOnPaste": true
}

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{
// See https://go.microsoft.com/fwlink/?LinkId=733558
// for the documentation about the tasks.json format
"version": "0.1.0",
"command": "nim",
"isShellCommand": true,
"args": ["cpp", "-r", "${file}"],
"showOutput": "always"
}

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MIT License
Copyright (c) 2018 Coffepots
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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# integer256

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import src/integer256s
export integer256s

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import strutils
const
bitSize = 256
byteSize = bitSize div 8
type
Base256 = array[byteSize, uint8]
Int256* = distinct Base256
# not exposed
proc `[]`(v: Int256, i: int): uint8 = Base256(v)[i]
# not exposed
proc `[]=`(v: var Int256, i: int, val: uint8) =
Base256(v)[i] = val
# not exposed
proc len(v: Int256): int = Base256(v).len
# not exposed
iterator pairs(v: Int256): (int, uint8) =
for i in 0..< v.len:
yield (i, v[i])
proc toNum(c: char): uint8 =
assert c in {'0'..'9'} or c in {'A'..'F'} or c in {'a'..'f'}
var base = 0
case c
of {'0'..'9'}: base = ord('0')
of {'A'..'F'}: base = ord('A') - 10
of {'a'..'f'}: base = ord('a') - 10
else:
raiseAssert "ERROR non-hex input to Int256"
result = uint8(c.ord - base)
proc i256*(v: string): Int256 =
## Hex
assert v.len mod 2 == 0
let startByte = v.len div 2
for i in 0..< startByte:
let
p = i * 2
c1 = v[p].toNum
c2 = v[p + 1].toNum
byteVal = c1 shl 4 or c2
result[startByte - i - 1] = byteVal
proc i256*(v: int): Int256 =
cast[ptr int](unsafeAddr(result))[] = v
proc `$`*(v: Int256): string =
result = newString(byteSize * 2 + 2)
result[0..1] = "0x"
for i in countDown(byteSize - 1, 0):
let p = i * 2 + 2
result[p..p + 1] = v[byteSize - i - 1].toHex
proc `not`*(v: Int256): Int256 =
for i, b in v:
result[i] = 255'u8 - b
proc `+`*(v1, v2: Int256): Int256 =
var
intermediate: int
carry = 0
for i in 0..< byteSize:
intermediate = int(v1[i]) + int(v2[i]) + carry
carry = 0
if intermediate > 255:
result[i] = uint8(intermediate and 0xff)
carry = intermediate shr 8
else:
result[i] = uint8(intermediate)
#assert carry == 0 # can't use this assert when subtracting!
proc `-`*(v: Int256): Int256 =
result = v.not + i256(1)
proc `-`*(v1, v2: Int256): Int256 =
var negV2 = -v2
result = v1 + negV2
proc `==`*(v1, v2: Int256): bool =
for i in 0..<byteSize:
if v1[i] != v2[i]: return false
return true
proc isPositive*(v: Int256): bool = (v[byteSize - 1] and 0xff).int > 0
proc `>`*(v1, v2: Int256): bool =
let x = v2 - v1
return x.isPositive
proc `<`*(v1, v2: Int256): bool =
let x = v1 - v2
return x.isPositive

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import ../integer256
import unittest
suite "Int256":
test "String input":
var x = i256"123456"
check $x == "0x0000000000000000000000000000000000000000000000000000000000123456"
test "Numeric input":
var x = i256(0x123456)
check $x == "0x0000000000000000000000000000000000000000000000000000000000123456"
test "Addition":
var
x = i256"123456"
y = i256"123456"
a = i256("13AC19ED413CCE5D402129")
b = i256("667C9CFA7440B879181A96")
c = i256("0AD99F7AF99413AC19293950ED413CCE5D402129")
d = i256("0F0A884AA482759927667C9CFA7440B879181A96")
check $(x + y) == "0x00000000000000000000000000000000000000000000000000000000002468AC"
check $(a + b) == "0x0000000000000000000000000000000000000000007A28B6E7B57D86D6583BBF"
check $(c + d) == "0x00000000000000000000000019E427C59E168945408FB5EDE7B57D86D6583BBF"
test "Subtraction":
var
x = i256"123456"
y = i256"123456"
z = i256"0456"
check $(x - y) == "0x0000000000000000000000000000000000000000000000000000000000000000"
check $(x - z) == "0x0000000000000000000000000000000000000000000000000000000000123000"
test "Inversion":
var x = i256"abcdef"
check $(-x) == "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF543211"
check $(x.not) == "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF543210"
test "Equality":
var
x = i256"abcdef"
y = i256"abcdef"
check x == y
test "Comparison":
var
x = i256"abcd"
y = i256"ab"
check x > y == true
check x < y == false