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chips/src/arith_uint256.cpp at master · https-github-com-goodman-ops/chips · GitHub
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//
Copyright (c) 2009-2010 Satoshi Nakamoto
//
Copyright (c) 2009-2017 The Bitcoin Core developers
//
Distributed under the MIT software license, see the accompanying
//
file COPYING or http://www.opensource.org/licenses/mit-license.php.
#
include
<
arith_uint256.h
>
#
include
<
uint256.h
>
#
include
<
utilstrencodings.h
>
#
include
<
crypto/common.h
>
#
include
<
stdio.h
>
#
include
<
string.h
>
template
<
unsigned
int
BITS
>
base_uint<
BITS
>::base_uint(
const
std::string& str)
{
static_assert
(
BITS
/
32
>
0
&&
BITS
%
32
==
0
,
"
Template parameter BITS must be a positive multiple of 32.
"
);
SetHex
(str);
}
template
<
unsigned
int
BITS
>
base_uint<
BITS
>& base_uint<
BITS
>::
operator
<<=(
unsigned
int
shift)
{
base_uint<
BITS
>
a
(*
this
);
for
(
int
i =
0
; i <
WIDTH
; i++)
pn[i] =
0
;
int
k = shift /
32
;
shift = shift %
32
;
for
(
int
i =
0
; i <
WIDTH
; i++) {
if
(i + k +
1
<
WIDTH
&& shift !=
0
)
pn[i + k +
1
] |= (a.
pn
[i] >> (
32
- shift));
if
(i + k <
WIDTH
)
pn[i + k] |= (a.
pn
[i] << shift);
}
return
*
this
;
}
template
<
unsigned
int
BITS
>
base_uint<
BITS
>& base_uint<
BITS
>::
operator
>>=(
unsigned
int
shift)
{
base_uint<
BITS
>
a
(*
this
);
for
(
int
i =
0
; i <
WIDTH
; i++)
pn[i] =
0
;
int
k = shift /
32
;
shift = shift %
32
;
for
(
int
i =
0
; i <
WIDTH
; i++) {
if
(i - k -
1
>=
0
&& shift !=
0
)
pn[i - k -
1
] |= (a.
pn
[i] << (
32
- shift));
if
(i - k >=
0
)
pn[i - k] |= (a.
pn
[i] >> shift);
}
return
*
this
;
}
template
<
unsigned
int
BITS
>
base_uint<
BITS
>& base_uint<
BITS
>::
operator
*=(
uint32_t
b32)
{
uint64_t
carry =
0
;
for
(
int
i =
0
; i <
WIDTH
; i++) {
uint64_t
n = carry + (
uint64_t
)b32 * pn[i];
pn[i] = n &
0xffffffff
;
carry = n >>
32
;
}
return
*
this
;
}
template
<
unsigned
int
BITS
>
base_uint<
BITS
>& base_uint<
BITS
>::
operator
*=(
const
base_uint& b)
{
base_uint<
BITS
> a = *
this
;
*
this
=
0
;
for
(
int
j =
0
; j <
WIDTH
; j++) {
uint64_t
carry =
0
;
for
(
int
i =
0
; i + j <
WIDTH
; i++) {
uint64_t
n = carry + pn[i + j] + (
uint64_t
)a.
pn
[j] * b.
pn
[i];
pn[i + j] = n &
0xffffffff
;
carry = n >>
32
;
}
}
return
*
this
;
}
template
<
unsigned
int
BITS
>
base_uint<
BITS
>& base_uint<
BITS
>::
operator
/=(
const
base_uint& b)
{
base_uint<
BITS
> div = b;
//
make a copy, so we can shift.
base_uint<
BITS
> num = *
this
;
//
make a copy, so we can subtract.
*
this
=
0
;
//
the quotient.
int
num_bits = num.
bits
();
int
div_bits = div.
bits
();
if
(div_bits ==
0
)
throw
uint_error
(
"
Division by zero
"
);
if
(div_bits > num_bits)
//
the result is certainly 0.
return
*
this
;
int
shift = num_bits - div_bits;
div <<= shift;
//
shift so that div and num align.
while
(shift >=
0
) {
if
(num >= div) {
num -= div;
pn[shift /
32
] |= (
1
<< (shift &
31
));
//
set a bit of the result.
}
div >>=
1
;
//
shift back.
shift--;
}
//
num now contains the remainder of the division.
return
*
this
;
}
template
<
unsigned
int
BITS
>
int
base_uint<
BITS
>::CompareTo(
const
base_uint<
BITS
>& b)
const
{
for
(
int
i =
WIDTH
-
1
; i >=
0
; i--) {
if
(pn[i] < b.
pn
[i])
return
-
1
;
if
(pn[i] > b.
pn
[i])
return
1
;
}
return
0
;
}
template
<
unsigned
int
BITS
>
bool
base_uint<
BITS
>::EqualTo(
uint64_t
b)
const
{
for
(
int
i =
WIDTH
-
1
; i >=
2
; i--) {
if
(pn[i])
return
false
;
}
if
(pn[
1
] != (b >>
32
))
return
false
;
if
(pn[
0
] != (b &
0xfffffffful
))
return
false
;
return
true
;
}
template
<
unsigned
int
BITS
>
double
base_uint<
BITS
>::getdouble()
const
{
double
ret =
0.0
;
double
fact =
1.0
;
for
(
int
i =
0
; i <
WIDTH
; i++) {
ret += fact * pn[i];
fact *=
4294967296.0
;
}
return
ret;
}
template
<
unsigned
int
BITS
>
std::string base_uint<
BITS
>::GetHex()
const
{
return
ArithToUint256
(*
this
).
GetHex
();
}
template
<
unsigned
int
BITS
>
void
base_uint<
BITS
>::SetHex(
const
char
* psz)
{
*
this
=
UintToArith256
(
uint256S
(psz));
}
template
<
unsigned
int
BITS
>
void
base_uint<
BITS
>::SetHex(
const
std::string& str)
{
SetHex
(str.
c_str
());
}
template
<
unsigned
int
BITS
>
std::string base_uint<
BITS
>::ToString()
const
{
return
(
GetHex
());
}
template
<
unsigned
int
BITS
>
unsigned
int
base_uint<
BITS
>::bits()
const
{
for
(
int
pos =
WIDTH
-
1
; pos >=
0
; pos--) {
if
(pn[pos]) {
for
(
int
nbits =
31
; nbits >
0
; nbits--) {
if
(pn[pos] &
1
<< nbits)
return
32
* pos + nbits +
1
;
}
return
32
* pos +
1
;
}
}
return
0
;
}
//
Explicit instantiations for base_uint<256>
template
base_uint<
256
>::base_uint(
const
std::string&);
template
base_uint<
256
>& base_uint<
256
>::
operator
<<=(
unsigned
int
);
template
base_uint<
256
>& base_uint<
256
>::
operator
>>=(
unsigned
int
);
template
base_uint<
256
>& base_uint<
256
>::
operator
*=(
uint32_t
b32);
template
base_uint<
256
>& base_uint<
256
>::
operator
*=(
const
base_uint<
256
>& b);
template
base_uint<
256
>& base_uint<
256
>::
operator
/=(
const
base_uint<
256
>& b);
template
int
base_uint<
256
>::CompareTo(
const
base_uint<
256
>&)
const
;
template
bool
base_uint<
256
>::EqualTo(
uint64_t
)
const
;
template
double
base_uint<
256
>::getdouble()
const
;
template
std::string base_uint<
256
>::GetHex()
const
;
template
std::string base_uint<
256
>::ToString()
const
;
template
void
base_uint<
256
>::SetHex(
const
char
*);
template
void
base_uint<
256
>::SetHex(
const
std::string&);
template
unsigned
int
base_uint<
256
>::bits()
const
;
//
This implementation directly uses shifts instead of going
//
through an intermediate MPI representation.
arith_uint256&
arith_uint256::SetCompact
(
uint32_t
nCompact,
bool
* pfNegative,
bool
* pfOverflow)
{
int
nSize = nCompact >>
24
;
uint32_t
nWord = nCompact &
0x007fffff
;
if
(nSize <=
3
) {
nWord >>=
8
* (
3
- nSize);
*
this
= nWord;
}
else
{
*
this
= nWord;
*
this
<<=
8
* (nSize -
3
);
}
if
(pfNegative)
*pfNegative = nWord !=
0
&& (nCompact &
0x00800000
) !=
0
;
if
(pfOverflow)
*pfOverflow = nWord !=
0
&& ((nSize >
34
) ||
(nWord >
0xff
&& nSize >
33
) ||
(nWord >
0xffff
&& nSize >
32
));
return
*
this
;
}
uint32_t
arith_uint256::GetCompact
(
bool
fNegative
)
const
{
int
nSize = (
bits
() +
7
) /
8
;
uint32_t
nCompact =
0
;
if
(nSize <=
3
) {
nCompact =
GetLow64
() <<
8
* (
3
- nSize);
}
else
{
arith_uint256 bn = *
this
>>
8
* (nSize -
3
);
nCompact = bn.
GetLow64
();
}
//
The 0x00800000 bit denotes the sign.
//
Thus, if it is already set, divide the mantissa by 256 and increase the exponent.
if
(nCompact &
0x00800000
) {
nCompact >>=
8
;
nSize++;
}
assert
((nCompact & ~
0x007fffff
) ==
0
);
assert
(nSize <
256
);
nCompact |= nSize <<
24
;
nCompact |= (
fNegative
&& (nCompact &
0x007fffff
) ?
0x00800000
:
0
);
return
nCompact;
}
uint256
ArithToUint256
(
const
arith_uint256 &a)
{
uint256 b;
for
(
int
x=
0
; x<a.
WIDTH
; ++x)
WriteLE32
(b.
begin
() + x*
4
, a.
pn
[x]);
return
b;
}
arith_uint256
UintToArith256
(
const
uint256 &a)
{
arith_uint256 b;
for
(
int
x=
0
; x<b.
WIDTH
; ++x)
b.
pn
[x] =
ReadLE32
(a.
begin
() + x*
4
);
return
b;
}
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