从缓冲区中删除第 n 位,然后移动其余位
Remove nth bit from buffer, and shift the rest
给出一个 uint8_t
长度为 x
的缓冲区,我试图想出一个可以删除第 n 位(或 n 到 n+i)的函数或宏,然后左-移动剩余位。
示例 #1:
对于输入 0b76543210 0b76543210 ...
那么输出应该是 0b76543217 0b654321 ...
示例 #2:如果输入是:
uint8_t input[8] = {
0b00110011,
0b00110011,
...
};
没有第一位的输出,应该是
uint8_t output[8] = {
0b00110010,
0b01100100,
...
};
我尝试了以下删除第一位的方法,但它对第二组位不起作用。
/* A macro to extract (a-b) range of bits without shifting */
#define BIT_RANGE(N,x,y) ((N) & ((0xff >> (7 - (y) + (x))) << ((x))))
void removeBit0(uint8_t *n) {
for (int i=0; i < 7; i++) {
n[i] = (BIT_RANGE(n[i], i + 1, 7)) << (i + 1) |
(BIT_RANGE(n[i + 1], 1, i + 1)) << (7 - i); /* This does not extract the next element bits */
}
n[7] = 0;
}
更新 #1
在我的例子中,输入将是 uint64_t 数字,然后我将使用 memmov
将其向左移动一位。
更新#2
解决方案可以在C/C++、汇编(x86-64) 或内联汇编中。
类似于此的东西应该可以工作:
template<typename S> void removeBit(S* buffer, size_t length, size_t index)
{
const size_t BITS_PER_UNIT = sizeof(S)*8;
// first we find which data unit contains the desired bit
const size_t unit = index / BITS_PER_UNIT;
// and which index has the bit inside the specified unit, starting counting from most significant bit
const size_t relativeIndex = (BITS_PER_UNIT - 1) - index % BITS_PER_UNIT;
// then we unset that bit
buffer[unit] &= ~(1 << relativeIndex);
// now we have to shift what's on the right by 1 position
// we create a mask such that if 0b00100000 is the bit removed we use 0b00011111 as mask to shift the rest
const S partialShiftMask = (1 << relativeIndex) - 1;
// now we keep all bits left to the removed one and we shift left all the others
buffer[unit] = (buffer[unit] & ~partialShiftMask) | ((buffer[unit] & partialShiftMask) << 1);
for (int i = unit+1; i < length; ++i)
{
//we set rightmost bit of previous unit according to last bit of current unit
buffer[i-1] |= buffer[i] >> (BITS_PER_UNIT-1);
// then we shift current unit by one
buffer[i] <<= 1;
}
}
我只是在一些基本情况下对其进行了测试,所以可能有些地方不完全正确,但这应该会让您走上正确的轨道。
这实际上是 2 个子问题:从每个字节中删除位并打包结果。这是下面代码的流程。我不会为此使用宏。发生的事情太多了。如果您担心该级别的性能,只需内联函数即可。
#include <stdio.h>
#include <stdint.h>
// Remove bits n to n+k-1 from x.
unsigned scrunch_1(unsigned x, int n, int k) {
unsigned hi_bits = ~0u << n;
return (x & ~hi_bits) | ((x >> k) & hi_bits);
}
// Remove bits n to n+k-1 from each byte in the buffer,
// then pack left. Return number of packed bytes.
size_t scrunch(uint8_t *buf, size_t size, int n, int k) {
size_t i_src = 0, i_dst = 0;
unsigned src_bits = 0; // Scrunched source bit buffer.
int n_src_bits = 0; // Initially it's empty.
for (;;) {
// Get scrunched bits until the buffer has at least 8.
while (n_src_bits < 8) {
if (i_src >= size) { // Done when source bytes exhausted.
// If there are left-over bits, add one more byte to output.
if (n_src_bits > 0) buf[i_dst++] = src_bits << (8 - n_src_bits);
return i_dst;
}
// Pack 'em in.
src_bits = (src_bits << (8 - k)) | scrunch_1(buf[i_src++], n, k);
n_src_bits += 8 - k;
}
// Write the highest 8 bits of the buffer to the destination byte.
n_src_bits -= 8;
buf[i_dst++] = src_bits >> n_src_bits;
}
}
int main(void) {
uint8_t x[] = { 0xaa, 0xaa, 0xaa, 0xaa };
size_t n = scrunch(x, 4, 2, 3);
for (size_t i = 0; i < n; i++) {
printf("%x ", x[i]);
}
printf("\n");
return 0;
}
这写b5 ad 60
,我认为是正确的。其他一些测试用例也适用。
哎呀我第一次编码时用错了方向,但把它写在这里以防它对某人有用。
#include <stdio.h>
#include <stdint.h>
// Remove bits n to n+k-1 from x.
unsigned scrunch_1(unsigned x, int n, int k) {
unsigned hi_bits = 0xffu << n;
return (x & ~hi_bits) | ((x >> k) & hi_bits);
}
// Remove bits n to n+k-1 from each byte in the buffer,
// then pack right. Return number of packed bytes.
size_t scrunch(uint8_t *buf, size_t size, int n, int k) {
size_t i_src = 0, i_dst = 0;
unsigned src_bits = 0; // Scrunched source bit buffer.
int n_src_bits = 0; // Initially it's empty.
for (;;) {
// Get scrunched bits until the buffer has at least 8.
while (n_src_bits < 8) {
if (i_src >= size) { // Done when source bytes exhausted.
// If there are left-over bits, add one more byte to output.
if (n_src_bits > 0) buf[i_dst++] = src_bits;
return i_dst;
}
// Pack 'em in.
src_bits |= scrunch_1(buf[i_src++], n, k) << n_src_bits;
n_src_bits += 8 - k;
}
// Write the lower 8 bits of the buffer to the destination byte.
buf[i_dst++] = src_bits;
src_bits >>= 8;
n_src_bits -= 8;
}
}
int main(void) {
uint8_t x[] = { 0xaa, 0xaa, 0xaa, 0xaa };
size_t n = scrunch(x, 4, 2, 3);
for (size_t i = 0; i < n; i++) {
printf("%x ", x[i]);
}
printf("\n");
return 0;
}
这样写d6 5a b
。其他一些测试用例也适用。
给出一个 uint8_t
长度为 x
的缓冲区,我试图想出一个可以删除第 n 位(或 n 到 n+i)的函数或宏,然后左-移动剩余位。
示例 #1:
对于输入 0b76543210 0b76543210 ...
那么输出应该是 0b76543217 0b654321 ...
示例 #2:如果输入是:
uint8_t input[8] = {
0b00110011,
0b00110011,
...
};
没有第一位的输出,应该是
uint8_t output[8] = {
0b00110010,
0b01100100,
...
};
我尝试了以下删除第一位的方法,但它对第二组位不起作用。
/* A macro to extract (a-b) range of bits without shifting */
#define BIT_RANGE(N,x,y) ((N) & ((0xff >> (7 - (y) + (x))) << ((x))))
void removeBit0(uint8_t *n) {
for (int i=0; i < 7; i++) {
n[i] = (BIT_RANGE(n[i], i + 1, 7)) << (i + 1) |
(BIT_RANGE(n[i + 1], 1, i + 1)) << (7 - i); /* This does not extract the next element bits */
}
n[7] = 0;
}
memmov
将其向左移动一位。
更新#2 解决方案可以在C/C++、汇编(x86-64) 或内联汇编中。
类似于此的东西应该可以工作:
template<typename S> void removeBit(S* buffer, size_t length, size_t index)
{
const size_t BITS_PER_UNIT = sizeof(S)*8;
// first we find which data unit contains the desired bit
const size_t unit = index / BITS_PER_UNIT;
// and which index has the bit inside the specified unit, starting counting from most significant bit
const size_t relativeIndex = (BITS_PER_UNIT - 1) - index % BITS_PER_UNIT;
// then we unset that bit
buffer[unit] &= ~(1 << relativeIndex);
// now we have to shift what's on the right by 1 position
// we create a mask such that if 0b00100000 is the bit removed we use 0b00011111 as mask to shift the rest
const S partialShiftMask = (1 << relativeIndex) - 1;
// now we keep all bits left to the removed one and we shift left all the others
buffer[unit] = (buffer[unit] & ~partialShiftMask) | ((buffer[unit] & partialShiftMask) << 1);
for (int i = unit+1; i < length; ++i)
{
//we set rightmost bit of previous unit according to last bit of current unit
buffer[i-1] |= buffer[i] >> (BITS_PER_UNIT-1);
// then we shift current unit by one
buffer[i] <<= 1;
}
}
我只是在一些基本情况下对其进行了测试,所以可能有些地方不完全正确,但这应该会让您走上正确的轨道。
这实际上是 2 个子问题:从每个字节中删除位并打包结果。这是下面代码的流程。我不会为此使用宏。发生的事情太多了。如果您担心该级别的性能,只需内联函数即可。
#include <stdio.h>
#include <stdint.h>
// Remove bits n to n+k-1 from x.
unsigned scrunch_1(unsigned x, int n, int k) {
unsigned hi_bits = ~0u << n;
return (x & ~hi_bits) | ((x >> k) & hi_bits);
}
// Remove bits n to n+k-1 from each byte in the buffer,
// then pack left. Return number of packed bytes.
size_t scrunch(uint8_t *buf, size_t size, int n, int k) {
size_t i_src = 0, i_dst = 0;
unsigned src_bits = 0; // Scrunched source bit buffer.
int n_src_bits = 0; // Initially it's empty.
for (;;) {
// Get scrunched bits until the buffer has at least 8.
while (n_src_bits < 8) {
if (i_src >= size) { // Done when source bytes exhausted.
// If there are left-over bits, add one more byte to output.
if (n_src_bits > 0) buf[i_dst++] = src_bits << (8 - n_src_bits);
return i_dst;
}
// Pack 'em in.
src_bits = (src_bits << (8 - k)) | scrunch_1(buf[i_src++], n, k);
n_src_bits += 8 - k;
}
// Write the highest 8 bits of the buffer to the destination byte.
n_src_bits -= 8;
buf[i_dst++] = src_bits >> n_src_bits;
}
}
int main(void) {
uint8_t x[] = { 0xaa, 0xaa, 0xaa, 0xaa };
size_t n = scrunch(x, 4, 2, 3);
for (size_t i = 0; i < n; i++) {
printf("%x ", x[i]);
}
printf("\n");
return 0;
}
这写b5 ad 60
,我认为是正确的。其他一些测试用例也适用。
哎呀我第一次编码时用错了方向,但把它写在这里以防它对某人有用。
#include <stdio.h>
#include <stdint.h>
// Remove bits n to n+k-1 from x.
unsigned scrunch_1(unsigned x, int n, int k) {
unsigned hi_bits = 0xffu << n;
return (x & ~hi_bits) | ((x >> k) & hi_bits);
}
// Remove bits n to n+k-1 from each byte in the buffer,
// then pack right. Return number of packed bytes.
size_t scrunch(uint8_t *buf, size_t size, int n, int k) {
size_t i_src = 0, i_dst = 0;
unsigned src_bits = 0; // Scrunched source bit buffer.
int n_src_bits = 0; // Initially it's empty.
for (;;) {
// Get scrunched bits until the buffer has at least 8.
while (n_src_bits < 8) {
if (i_src >= size) { // Done when source bytes exhausted.
// If there are left-over bits, add one more byte to output.
if (n_src_bits > 0) buf[i_dst++] = src_bits;
return i_dst;
}
// Pack 'em in.
src_bits |= scrunch_1(buf[i_src++], n, k) << n_src_bits;
n_src_bits += 8 - k;
}
// Write the lower 8 bits of the buffer to the destination byte.
buf[i_dst++] = src_bits;
src_bits >>= 8;
n_src_bits -= 8;
}
}
int main(void) {
uint8_t x[] = { 0xaa, 0xaa, 0xaa, 0xaa };
size_t n = scrunch(x, 4, 2, 3);
for (size_t i = 0; i < n; i++) {
printf("%x ", x[i]);
}
printf("\n");
return 0;
}
这样写d6 5a b
。其他一些测试用例也适用。