-
Notifications
You must be signed in to change notification settings - Fork 3.6k
/
uint.go
274 lines (221 loc) · 6.53 KB
/
uint.go
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
package types
import (
"errors"
"fmt"
"math/big"
)
// Uint wraps integer with 256 bit range bound
// Checks overflow, underflow and division by zero
// Exists in range from 0 to 2^256-1
type Uint struct {
i *big.Int
}
// BigInt converts Uint to big.Int
func (u Uint) BigInt() *big.Int {
return new(big.Int).Set(u.i)
}
// NewUintFromBigUint constructs Uint from big.Uint
func NewUintFromBigInt(i *big.Int) Uint {
u, err := checkNewUint(i)
if err != nil {
panic(fmt.Errorf("overflow: %s", err))
}
return u
}
// NewUint constructs Uint from int64
func NewUint(n uint64) Uint {
i := new(big.Int)
i.SetUint64(n)
return NewUintFromBigInt(i)
}
// NewUintFromString constructs Uint from string
func NewUintFromString(s string) Uint {
u, err := ParseUint(s)
if err != nil {
panic(err)
}
return u
}
// ZeroUint returns unsigned zero.
func ZeroUint() Uint { return Uint{big.NewInt(0)} }
// OneUint returns Uint value with one.
func OneUint() Uint { return Uint{big.NewInt(1)} }
var _ CustomProtobufType = (*Uint)(nil)
// Uint64 converts Uint to uint64
// Panics if the value is out of range
func (u Uint) Uint64() uint64 {
if !u.i.IsUint64() {
panic("Uint64() out of bound")
}
return u.i.Uint64()
}
// IsZero returns 1 if the uint equals to 0.
func (u Uint) IsZero() bool { return u.Equal(ZeroUint()) }
// Equal compares two Uints
func (u Uint) Equal(u2 Uint) bool { return equal(u.i, u2.i) }
// GT returns true if first Uint is greater than second
func (u Uint) GT(u2 Uint) bool { return gt(u.i, u2.i) }
// GTE returns true if first Uint is greater than second
func (u Uint) GTE(u2 Uint) bool { return u.GT(u2) || u.Equal(u2) }
// LT returns true if first Uint is lesser than second
func (u Uint) LT(u2 Uint) bool { return lt(u.i, u2.i) }
// LTE returns true if first Uint is lesser than or equal to the second
func (u Uint) LTE(u2 Uint) bool { return !u.GT(u2) }
// Add adds Uint from another
func (u Uint) Add(u2 Uint) Uint { return NewUintFromBigInt(new(big.Int).Add(u.i, u2.i)) }
// Add convert uint64 and add it to Uint
func (u Uint) AddUint64(u2 uint64) Uint { return u.Add(NewUint(u2)) }
// Sub adds Uint from another
func (u Uint) Sub(u2 Uint) Uint { return NewUintFromBigInt(new(big.Int).Sub(u.i, u2.i)) }
// SubUint64 adds Uint from another
func (u Uint) SubUint64(u2 uint64) Uint { return u.Sub(NewUint(u2)) }
// Mul multiplies two Uints
func (u Uint) Mul(u2 Uint) (res Uint) {
return NewUintFromBigInt(new(big.Int).Mul(u.i, u2.i))
}
// Mul multiplies two Uints
func (u Uint) MulUint64(u2 uint64) (res Uint) { return u.Mul(NewUint(u2)) }
// Quo divides Uint with Uint
func (u Uint) Quo(u2 Uint) (res Uint) { return NewUintFromBigInt(div(u.i, u2.i)) }
// Mod returns remainder after dividing with Uint
func (u Uint) Mod(u2 Uint) Uint {
if u2.IsZero() {
panic("division-by-zero")
}
return Uint{mod(u.i, u2.i)}
}
// Incr increments the Uint by one.
func (u Uint) Incr() Uint {
return u.Add(OneUint())
}
// Decr decrements the Uint by one.
// Decr will panic if the Uint is zero.
func (u Uint) Decr() Uint {
return u.Sub(OneUint())
}
// Quo divides Uint with uint64
func (u Uint) QuoUint64(u2 uint64) Uint { return u.Quo(NewUint(u2)) }
// Return the minimum of the Uints
func MinUint(u1, u2 Uint) Uint { return NewUintFromBigInt(min(u1.i, u2.i)) }
// Return the maximum of the Uints
func MaxUint(u1, u2 Uint) Uint { return NewUintFromBigInt(max(u1.i, u2.i)) }
// Human readable string
func (u Uint) String() string { return u.i.String() }
// MarshalJSON defines custom encoding scheme
func (u Uint) MarshalJSON() ([]byte, error) {
if u.i == nil { // Necessary since default Uint initialization has i.i as nil
u.i = new(big.Int)
}
return marshalJSON(u.i)
}
// UnmarshalJSON defines custom decoding scheme
func (u *Uint) UnmarshalJSON(bz []byte) error {
if u.i == nil { // Necessary since default Uint initialization has i.i as nil
u.i = new(big.Int)
}
return unmarshalJSON(u.i, bz)
}
// Marshal implements the gogo proto custom type interface.
func (u Uint) Marshal() ([]byte, error) {
if u.i == nil {
u.i = new(big.Int)
}
return u.i.MarshalText()
}
// MarshalTo implements the gogo proto custom type interface.
func (u *Uint) MarshalTo(data []byte) (n int, err error) {
if u.i == nil {
u.i = new(big.Int)
}
if len(u.i.Bytes()) == 0 {
copy(data, []byte{0x30})
return 1, nil
}
bz, err := u.Marshal()
if err != nil {
return 0, err
}
copy(data, bz)
return len(bz), nil
}
// Unmarshal implements the gogo proto custom type interface.
func (u *Uint) Unmarshal(data []byte) error {
if len(data) == 0 {
u = nil
return nil
}
if u.i == nil {
u.i = new(big.Int)
}
if err := u.i.UnmarshalText(data); err != nil {
return err
}
if u.i.BitLen() > maxBitLen {
return fmt.Errorf("integer out of range; got: %d, max: %d", u.i.BitLen(), maxBitLen)
}
return nil
}
// Size implements the gogo proto custom type interface.
func (u *Uint) Size() int {
bz, _ := u.Marshal()
return len(bz)
}
// Override Amino binary serialization by proxying to protobuf.
func (u Uint) MarshalAmino() ([]byte, error) { return u.Marshal() }
func (u *Uint) UnmarshalAmino(bz []byte) error { return u.Unmarshal(bz) }
//__________________________________________________________________________
// UintOverflow returns true if a given unsigned integer overflows and false
// otherwise.
func UintOverflow(i *big.Int) error {
if i.Sign() < 0 {
return errors.New("non-positive integer")
}
if i.BitLen() > 256 {
return fmt.Errorf("bit length %d greater than 256", i.BitLen())
}
return nil
}
// ParseUint reads a string-encoded Uint value and return a Uint.
func ParseUint(s string) (Uint, error) {
i, ok := new(big.Int).SetString(s, 0)
if !ok {
return Uint{}, fmt.Errorf("cannot convert %q to big.Int", s)
}
return checkNewUint(i)
}
func checkNewUint(i *big.Int) (Uint, error) {
if err := UintOverflow(i); err != nil {
return Uint{}, err
}
return Uint{i}, nil
}
// RelativePow raises x to the power of n, where x (and the result, z) are scaled by factor b
// for example, RelativePow(210, 2, 100) = 441 (2.1^2 = 4.41)
func RelativePow(x Uint, n Uint, b Uint) (z Uint) {
if x.IsZero() {
if n.IsZero() {
z = b // 0^0 = 1
return
}
z = ZeroUint() // otherwise 0^a = 0
return
}
z = x
if n.Mod(NewUint(2)).Equal(ZeroUint()) {
z = b
}
halfOfB := b.Quo(NewUint(2))
n = n.Quo(NewUint(2))
for n.GT(ZeroUint()) {
xSquared := x.Mul(x)
xSquaredRounded := xSquared.Add(halfOfB)
x = xSquaredRounded.Quo(b)
if n.Mod(NewUint(2)).Equal(OneUint()) {
zx := z.Mul(x)
zxRounded := zx.Add(halfOfB)
z = zxRounded.Quo(b)
}
n = n.Quo(NewUint(2))
}
return z
}