654 lines
16 KiB
Go
654 lines
16 KiB
Go
package huge
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import (
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"github.com/kercylan98/minotaur/utils/generic"
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"math/big"
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)
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var (
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IntNegativeOne = NewInt(-1) // 默认初始化的-1值Int，应当将其当作常量使用
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IntZero = NewInt(0) // 默认初始化的0值Int，应当将其当作常量使用
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IntOne = NewInt(1) // 默认初始化的1值Int，应当将其当作常量使用
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IntTen = NewInt(10) // 默认初始化的10值Int，应当将其当作常量使用
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IntHundred = NewInt(100) // 默认初始化的100值Int，应当将其当作常量使用
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IntThousand = NewInt(1000) // 默认初始化的1000值Int，应当将其当作常量使用
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IntTenThousand = NewInt(10000) // 默认初始化的10000值Int，应当将其当作常量使用
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)
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type Int big.Int
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// NewInt 创建一个 Int 对象，该对象的值为 x
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func NewInt[T generic.Basic](x T) *Int {
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var xa any = x
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switch x := xa.(type) {
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case int:
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return (*Int)(big.NewInt(int64(x)))
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case int8:
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return (*Int)(big.NewInt(int64(x)))
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case int16:
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return (*Int)(big.NewInt(int64(x)))
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case int32:
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return (*Int)(big.NewInt(int64(x)))
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case int64:
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return (*Int)(big.NewInt(x))
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case uint:
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return (*Int)(big.NewInt(int64(x)))
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case uint8:
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return (*Int)(big.NewInt(int64(x)))
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case uint16:
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return (*Int)(big.NewInt(int64(x)))
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case uint32:
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return (*Int)(big.NewInt(int64(x)))
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case uint64:
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return (*Int)(big.NewInt(int64(x)))
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case string:
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si, suc := new(big.Int).SetString(x, 10)
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if !suc {
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return (*Int)(big.NewInt(0))
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}
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return (*Int)(si)
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case bool:
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if x {
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return (*Int)(big.NewInt(1))
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}
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return (*Int)(big.NewInt(0))
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case float32:
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return (*Int)(big.NewInt(int64(x)))
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case float64:
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return (*Int)(big.NewInt(int64(x)))
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}
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return (*Int)(big.NewInt(0))
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}
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// applyIntOperation 应用一个 Int 操作
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func applyIntOperation[T generic.Number](v *Int, i T, op func(*big.Int, *big.Int) *big.Int) *Int {
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return (*Int)(op(v.ToBigint(), NewInt(i).ToBigint()))
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}
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// Copy 拷贝当前 Int 对象
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func (slf *Int) Copy() *Int {
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return (*Int)(new(big.Int).Set(slf.ToBigint()))
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}
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// Set 设置当前 Int 对象的值为 i
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func (slf *Int) Set(i *Int) *Int {
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return (*Int)(slf.ToBigint().Set(i.ToBigint()))
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}
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// SetString 设置当前 Int 对象的值为 i
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func (slf *Int) SetString(i string) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetInt 设置当前 Int 对象的值为 i
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func (slf *Int) SetInt(i int) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetInt8 设置当前 Int 对象的值为 i
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func (slf *Int) SetInt8(i int8) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetInt16 设置当前 Int 对象的值为 i
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func (slf *Int) SetInt16(i int16) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetInt32 设置当前 Int 对象的值为 i
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func (slf *Int) SetInt32(i int32) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetInt64 设置当前 Int 对象的值为 i
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func (slf *Int) SetInt64(i int64) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetUint 设置当前 Int 对象的值为 i
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func (slf *Int) SetUint(i uint) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetUint8 设置当前 Int 对象的值为 i
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func (slf *Int) SetUint8(i uint8) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetUint16 设置当前 Int 对象的值为 i
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func (slf *Int) SetUint16(i uint16) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetUint32 设置当前 Int 对象的值为 i
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func (slf *Int) SetUint32(i uint32) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetUint64 设置当前 Int 对象的值为 i
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func (slf *Int) SetUint64(i uint64) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetFloat32 设置当前 Int 对象的值为 i 向下取整后的值
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func (slf *Int) SetFloat32(i float32) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetFloat64 设置当前 Int 对象的值为 i 向下取整后的值
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func (slf *Int) SetFloat64(i float64) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// SetBool 设置当前 Int 对象的值为 i，当 i 为 true 时，值为 1，当 i 为 false 时，值为 0
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func (slf *Int) SetBool(i bool) *Int {
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return (*Int)(slf.ToBigint().Set((*big.Int)(NewInt(i))))
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}
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// IsZero 判断当前 Int 对象的值是否为 0
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func (slf *Int) IsZero() bool {
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if slf == nil || slf.EqualTo(IntZero) {
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return true
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}
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return false
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}
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// ToBigint 转换为 *big.Int
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func (slf *Int) ToBigint() *big.Int {
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if slf == nil {
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return big.NewInt(0)
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}
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return (*big.Int)(slf)
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}
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// Cmp 比较，当 slf > i 时返回 1，当 slf < i 时返回 -1，当 slf == i 时返回 0
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func (slf *Int) Cmp(i *Int) int {
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return slf.ToBigint().Cmp(i.ToBigint())
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}
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// GreaterThan 检查 slf 是否大于 i
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func (slf *Int) GreaterThan(i *Int) bool {
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return slf.Cmp(i) > 0
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}
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// GreaterThanOrEqualTo 检查 slf 是否大于或等于 i
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func (slf *Int) GreaterThanOrEqualTo(i *Int) bool {
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return slf.Cmp(i) >= 0
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}
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// LessThan 检查 slf 是否小于 i
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func (slf *Int) LessThan(i *Int) bool {
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return slf.Cmp(i) < 0
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}
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// LessThanOrEqualTo 检查 slf 是否小于或等于 i
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func (slf *Int) LessThanOrEqualTo(i *Int) bool {
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return slf.Cmp(i) <= 0
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}
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// EqualTo 检查 slf 是否等于 i
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func (slf *Int) EqualTo(i *Int) bool {
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return slf.Cmp(i) == 0
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}
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// Int64 转换为 int64 类型进行返回
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func (slf *Int) Int64() int64 {
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return slf.ToBigint().Int64()
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}
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// String 转换为 string 类型进行返回
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func (slf *Int) String() string {
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if slf == nil {
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return "0"
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}
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return slf.ToBigint().String()
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}
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// Add 使用 i 对 slf 进行加法运算，slf 的值会变为运算后的值。返回 slf
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func (slf *Int) Add(i *Int) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Add(x, i.ToBigint()))
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}
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func (slf *Int) AddInt(i int) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Add(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) AddInt8(i int8) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Add(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) AddInt16(i int16) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Add(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) AddInt32(i int32) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Add(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) AddInt64(i int64) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Add(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) AddUint(i uint) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Add(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) AddUint8(i uint8) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Add(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) AddUint16(i uint16) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Add(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) AddUint32(i uint32) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Add(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) AddUint64(i uint64) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Add(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) Mul(i *Int) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Mul(x, i.ToBigint()))
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}
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func (slf *Int) MulInt(i int) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Mul(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) MulInt8(i int8) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Mul(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) MulInt16(i int16) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Mul(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) MulInt32(i int32) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Mul(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) MulInt64(i int64) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Mul(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) MulUint(i uint) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Mul(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) MulUint8(i uint8) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Mul(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) MulUint16(i uint16) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Mul(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) MulUint32(i uint32) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Mul(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) MulUint64(i uint64) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Mul(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) Sub(i *Int) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Sub(x, i.ToBigint()))
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}
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func (slf *Int) SubInt(i int) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Sub(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) SubInt8(i int8) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Sub(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) SubInt16(i int16) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Sub(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) SubInt32(i int32) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Sub(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) SubInt64(i int64) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Sub(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) SubUint(i uint) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Sub(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) SubUint8(i uint8) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Sub(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) SubUint16(i uint16) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Sub(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) SubUint32(i uint32) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Sub(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) SubUint64(i uint64) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Sub(x, NewInt(i).ToBigint()))
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}
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func (slf *Int) Div(i *Int) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Div(x, i.ToBigint()))
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}
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func (slf *Int) DivInt(i int) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Div)
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}
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func (slf *Int) DivInt8(i int8) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Div)
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}
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func (slf *Int) DivInt16(i int16) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Div)
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}
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func (slf *Int) DivInt32(i int32) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Div)
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}
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func (slf *Int) DivInt64(i int64) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Div)
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}
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func (slf *Int) DivUint(i uint) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Div)
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}
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func (slf *Int) DivUint8(i uint8) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Div)
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}
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func (slf *Int) DivUint16(i uint16) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Div)
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}
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func (slf *Int) DivUint32(i uint32) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Div)
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}
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func (slf *Int) DivUint64(i uint64) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Div)
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}
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func (slf *Int) Mod(i *Int) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Mod(x, i.ToBigint()))
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}
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func (slf *Int) ModInt(i int) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Mod)
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}
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func (slf *Int) ModInt8(i int8) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Mod)
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}
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func (slf *Int) ModInt16(i int16) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Mod)
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}
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func (slf *Int) ModInt32(i int32) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Mod)
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}
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func (slf *Int) ModInt64(i int64) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Mod)
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}
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func (slf *Int) ModUint(i uint) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Mod)
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}
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func (slf *Int) ModUint8(i uint8) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Mod)
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}
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func (slf *Int) ModUint16(i uint16) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Mod)
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}
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func (slf *Int) ModUint32(i uint32) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Mod)
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}
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func (slf *Int) ModUint64(i uint64) *Int {
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return applyIntOperation(slf, i, NewInt(i).ToBigint().Mod)
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}
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func (slf *Int) Pow(i *Int) *Int {
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x := slf.ToBigint()
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return (*Int)(x.Exp(x, i.ToBigint(), nil))
|
||
}
|
||
|
||
func (slf *Int) PowInt(i int) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Exp(x, NewInt(i).ToBigint(), nil))
|
||
}
|
||
|
||
func (slf *Int) PowInt8(i int8) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Exp(x, NewInt(i).ToBigint(), nil))
|
||
}
|
||
|
||
func (slf *Int) PowInt16(i int16) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Exp(x, NewInt(i).ToBigint(), nil))
|
||
}
|
||
|
||
func (slf *Int) PowInt32(i int32) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Exp(x, NewInt(i).ToBigint(), nil))
|
||
}
|
||
|
||
func (slf *Int) PowInt64(i int64) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Exp(x, NewInt(i).ToBigint(), nil))
|
||
}
|
||
|
||
func (slf *Int) PowUint(i uint) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Exp(x, NewInt(i).ToBigint(), nil))
|
||
}
|
||
|
||
func (slf *Int) PowUint8(i uint8) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Exp(x, NewInt(i).ToBigint(), nil))
|
||
}
|
||
|
||
func (slf *Int) PowUint16(i uint16) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Exp(x, NewInt(i).ToBigint(), nil))
|
||
}
|
||
|
||
func (slf *Int) PowUint32(i uint32) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Exp(x, NewInt(i).ToBigint(), nil))
|
||
}
|
||
|
||
func (slf *Int) PowUint64(i uint64) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Exp(x, NewInt(i).ToBigint(), nil))
|
||
}
|
||
|
||
// Lsh 左移
|
||
func (slf *Int) Lsh(i int) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Lsh(x, uint(i)))
|
||
}
|
||
|
||
// Rsh 右移
|
||
func (slf *Int) Rsh(i int) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Rsh(x, uint(i)))
|
||
}
|
||
|
||
// And 与
|
||
func (slf *Int) And(i *Int) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.And(x, i.ToBigint()))
|
||
}
|
||
|
||
// AndNot 与非
|
||
func (slf *Int) AndNot(i *Int) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.AndNot(x, i.ToBigint()))
|
||
}
|
||
|
||
// Or 或
|
||
func (slf *Int) Or(i *Int) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Or(x, i.ToBigint()))
|
||
}
|
||
|
||
// Xor 异或
|
||
func (slf *Int) Xor(i *Int) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Xor(x, i.ToBigint()))
|
||
}
|
||
|
||
// Not 非
|
||
func (slf *Int) Not() *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Not(x))
|
||
}
|
||
|
||
// Sqrt 平方根
|
||
func (slf *Int) Sqrt() *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Sqrt(x))
|
||
}
|
||
|
||
// GCD 最大公约数
|
||
func (slf *Int) GCD(i *Int) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.GCD(nil, nil, x, i.ToBigint()))
|
||
}
|
||
|
||
// LCM 最小公倍数
|
||
func (slf *Int) LCM(i *Int) *Int {
|
||
sb := slf.ToBigint()
|
||
ib := i.ToBigint()
|
||
gcd := new(big.Int).GCD(nil, nil, sb, ib)
|
||
absProduct := new(big.Int).Mul(sb, ib).Abs(new(big.Int).Mul(sb, ib))
|
||
lcm := new(big.Int).Div(absProduct, gcd)
|
||
return (*Int)(lcm)
|
||
}
|
||
|
||
// ModInverse 模反元素
|
||
func (slf *Int) ModInverse(i *Int) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.ModInverse(x, i.ToBigint()))
|
||
}
|
||
|
||
// ModSqrt 模平方根
|
||
func (slf *Int) ModSqrt(i *Int) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.ModSqrt(x, i.ToBigint()))
|
||
}
|
||
|
||
// BitLen 二进制长度
|
||
func (slf *Int) BitLen() int {
|
||
return slf.ToBigint().BitLen()
|
||
}
|
||
|
||
// Bit 二进制位
|
||
func (slf *Int) Bit(i int) uint {
|
||
return slf.ToBigint().Bit(i)
|
||
}
|
||
|
||
// SetBit 设置二进制位
|
||
func (slf *Int) SetBit(i int, v uint) *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.SetBit(x, i, v))
|
||
}
|
||
|
||
// Neg 返回数字的相反数
|
||
func (slf *Int) Neg() *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Neg(x))
|
||
}
|
||
|
||
// Abs 返回数字的绝对值
|
||
func (slf *Int) Abs() *Int {
|
||
x := slf.ToBigint()
|
||
return (*Int)(x.Abs(x))
|
||
}
|
||
|
||
// Sign 返回数字的符号
|
||
// - 1：正数
|
||
// - 0：零
|
||
// - -1：负数
|
||
func (slf *Int) Sign() int {
|
||
return slf.ToBigint().Sign()
|
||
}
|
||
|
||
// IsPositive 是否为正数
|
||
func (slf *Int) IsPositive() bool {
|
||
return slf.Sign() > 0
|
||
}
|
||
|
||
// IsNegative 是否为负数
|
||
func (slf *Int) IsNegative() bool {
|
||
return slf.Sign() < 0
|
||
}
|
||
|
||
// IsEven 是否为偶数
|
||
func (slf *Int) IsEven() bool {
|
||
return slf.ToBigint().Bit(0) == 0
|
||
}
|
||
|
||
// IsOdd 是否为奇数
|
||
func (slf *Int) IsOdd() bool {
|
||
return slf.ToBigint().Bit(0) == 1
|
||
}
|
||
|
||
// ProportionalCalc 比例计算，该函数会再 formula 返回值的基础上除以 proportional
|
||
// - formula 为计算公式，该公式的参数为调用该函数的 Int 的拷贝
|
||
func (slf *Int) ProportionalCalc(proportional *Int, formula func(v *Int) *Int) *Int {
|
||
return formula(slf.Copy()).Div(proportional)
|
||
}
|