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i.go
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i.go
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package i
import (
"math/big"
"strconv"
)
//Bit is the 'i' boolean type.
type Bit = bool
//String is the 'i' string type.
type String = string
//Error is the 'i' error type.
type Error struct {
Code int
Message string
}
type context struct {
errors []Error
}
//Context is the 'i' context for error handling and globals.
type Context struct {
*context
}
//Errors returns and clears the error stack.
func (context Context) Errors() []Error {
defer func() {
context.errors = nil
}()
return context.errors
}
//NewContext returns a new 'i' context.
func NewContext() Context {
return Context{new(context)}
}
//Throw throws an error onto the stack.
func (ctx *Context) Throw(code int, message string) {
ctx.errors = append(ctx.errors, Error{
Code: code,
Message: message,
})
}
//Integer is the 'i' integer type.
type Integer struct {
int64
large big.Int
}
//IndexList returns an index to a list with the specified length.
func IndexList(index Integer, length int) int {
return int(index.Mod(NewInteger(length-1)).Int64()) + 1
}
//IndexArray returns an index to an array with the specified length.
func IndexArray(index Integer, length int) int {
return int(index.Mod(NewInteger(length)).Int64())
}
//Atoi returns a String converted to an Integer.
func Atoi(ctx Context, s String) Integer {
i, err := strconv.Atoi(s)
if err != nil {
l, ok := big.NewInt(0).SetString(s, 10)
if !ok {
ctx.Throw(1, "invalid integer")
return Integer{}
}
return Integer{large: *l}
}
return Integer{int64: int64(i)}
}
//NewInteger returns an 'i' integer from an int64.
func NewInteger(i int) Integer {
return Integer{int64: int64(i)}
}
//Neg returns -i
func (a Integer) Neg() Integer {
if a.large.Bits() == nil {
a.large.Neg(&a.large)
return a
}
return Integer{int64: 0 - a.int64}
}
//Add returns a + b
func (a Integer) Add(b Integer) Integer {
aSmall, bSmall := a.large.Bits() == nil, b.large.Bits() == nil
switch true {
case aSmall && bSmall:
c := a.int64 + b.int64
if (c > a.int64) == (b.int64 > 0) {
return Integer{int64: c}
}
//Overflow.
a.large.Add(big.NewInt(a.int64), big.NewInt(b.int64))
return a
case aSmall:
a.large.Add(big.NewInt(a.int64), &b.large)
return a
case bSmall:
a.large.Add(&a.large, big.NewInt(b.int64))
return a
default:
a.large.Add(&a.large, &b.large)
return a
}
}
//Sub returns a - b
func (a Integer) Sub(b Integer) Integer {
aSmall, bSmall := a.large.Bits() == nil, b.large.Bits() == nil
switch true {
case aSmall && bSmall:
c := a.int64 - b.int64
if (c < a.int64) == (b.int64 > 0) {
return Integer{int64: c}
}
//Overflow.
a.large.Sub(big.NewInt(a.int64), big.NewInt(b.int64))
return a
case aSmall:
a.large.Sub(big.NewInt(a.int64), &b.large)
return a
case bSmall:
a.large.Sub(&a.large, big.NewInt(b.int64))
return a
default:
a.large.Sub(&a.large, &b.large)
return a
}
}
//Mul returns a * b
func (a Integer) Mul(b Integer) Integer {
aSmall, bSmall := a.large.Bits() == nil, b.large.Bits() == nil
switch true {
case aSmall && bSmall:
if a.int64 == 0 || b.int64 == 0 {
return Integer{}
}
c := a.int64 * b.int64
if (c < 0) == ((a.int64 < 0) != (b.int64 < 0)) {
if c/b.int64 == a.int64 {
return Integer{int64: c}
}
}
//Overflow.
a.large.Mul(big.NewInt(a.int64), big.NewInt(b.int64))
return a
case aSmall:
a.large.Mul(big.NewInt(a.int64), &b.large)
return a
case bSmall:
a.large.Mul(&a.large, big.NewInt(b.int64))
return a
default:
a.large.Mul(&a.large, &b.large)
return a
}
}
//Div returns a / b
func (a Integer) Div(b Integer) Integer {
if b.Equals(Integer{}) {
if a.Equals(Integer{}) {
return Integer{int64: 1}
}
return Integer{int64: 0}
}
aSmall, bSmall := a.large.Bits() == nil, b.large.Bits() == nil
switch true {
case aSmall && bSmall:
c := a.int64 / b.int64
if (c < 0) == ((a.int64 < 0) != (b.int64 < 0)) {
return Integer{int64: c}
}
//Overflow.
a.large.Div(big.NewInt(a.int64), big.NewInt(b.int64))
return a
case aSmall:
a.large.Div(big.NewInt(a.int64), &b.large)
return a
case bSmall:
a.large.Div(&a.large, big.NewInt(b.int64))
return a
default:
a.large.Div(&a.large, &b.large)
return a
}
}
//Pow returns a ** b
func (a Integer) Pow(b Integer) Integer {
aSmall, bSmall := a.large.Bits() == nil, b.large.Bits() == nil
switch true {
case aSmall && bSmall:
a.large.Exp(big.NewInt(a.int64), big.NewInt(b.int64), nil)
return a
case aSmall:
a.large.Exp(big.NewInt(a.int64), &b.large, nil)
return a
case bSmall:
a.large.Exp(&a.large, big.NewInt(b.int64), nil)
return a
default:
a.large.Exp(&a.large, &b.large, nil)
return a
}
}
//Mod returns a % b
func (a Integer) Mod(b Integer) Integer {
if b.Equals(Integer{}) {
if a.Equals(Integer{}) {
return Integer{int64: 1}
}
return Integer{int64: 0}
}
aSmall, bSmall := a.large.Bits() == nil, b.large.Bits() == nil
switch true {
case aSmall && bSmall:
c := a.int64 % b.int64
return Integer{int64: c}
case aSmall:
a.large.Mod(big.NewInt(a.int64), &b.large)
return a
case bSmall:
a.large.Mod(&a.large, big.NewInt(b.int64))
return a
default:
a.large.Mod(&a.large, &b.large)
return a
}
}
//Compare returns a == b.
func (a Integer) Compare(b Integer) int {
aSmall, bSmall := a.large.Bits() == nil, b.large.Bits() == nil
switch true {
case aSmall && bSmall:
switch true {
case a.int64 < b.int64:
return -1
case a.int64 > b.int64:
return 1
default:
return 0
}
case aSmall:
return big.NewInt(a.int64).Cmp(&b.large)
case bSmall:
return a.large.Cmp(big.NewInt(b.int64))
default:
return a.large.Cmp(&b.large)
}
}
//Equals returns a == b.
func (a Integer) Equals(b Integer) Bit {
aSmall, bSmall := a.large.Bits() == nil, b.large.Bits() == nil
switch true {
case aSmall && bSmall:
return a.int64 == b.int64
case aSmall:
return big.NewInt(a.int64).Cmp(&b.large) == 0
case bSmall:
return a.large.Cmp(big.NewInt(b.int64)) == 0
default:
return a.large.Cmp(&b.large) == 0
}
}
//GreaterThan returns a > b.
func (a Integer) GreaterThan(b Integer) Bit {
aSmall, bSmall := a.large.Bits() == nil, b.large.Bits() == nil
switch true {
case aSmall && bSmall:
return a.int64 > b.int64
case aSmall:
return big.NewInt(a.int64).Cmp(&b.large) > 0
case bSmall:
return a.large.Cmp(big.NewInt(b.int64)) > 0
default:
return a.large.Cmp(&b.large) > 0
}
}
//LessThan returns a < b.
func (a Integer) LessThan(b Integer) Bit {
aSmall, bSmall := a.large.Bits() == nil, b.large.Bits() == nil
switch true {
case aSmall && bSmall:
return a.int64 < b.int64
case aSmall:
return big.NewInt(a.int64).Cmp(&b.large) < 0
case bSmall:
return a.large.Cmp(big.NewInt(b.int64)) < 0
default:
return a.large.Cmp(&b.large) < 0
}
}
//To returns a + norm(a - b).
func (a Integer) To(b Integer) Integer {
if a.GreaterThan(b) {
return a.Sub(Integer{int64: 1})
}
return a.Add(Integer{int64: 1})
}
//SetupTo returns a setup for a to loop.
func SetupTo(a, b Integer) (Integer, Integer) {
if a.GreaterThan(b) {
return a, b.Sub(Integer{int64: 1})
}
return a, b.Add(Integer{int64: 1})
}
//SetupStep returns a setup for a stepped loop.
func SetupStep(to, step Integer) (Integer, Integer, Integer) {
return step, step, to
}
//CompareStep compares a stepped loop's step.
func (a Integer) CompareStep(to, step Integer) bool {
if a.GreaterThan(to) {
return false
}
return true
}
func (a Integer) String() String {
if a.large.Bits() == nil {
return strconv.FormatInt(a.int64, 10)
}
return a.large.String()
}
//Int64 returns the integer as an int64.
func (a Integer) Int64() int64 {
if a.large.Bits() == nil {
return a.int64
}
return a.large.Int64()
}