Develop Reference

C# signed fixed point to floating point conversion

I have a temperature sensor returning 2 bytes.
The temperature is defined as follows :
What is the best way in C# to convert these 2 byte to a float ?
My sollution is the following, but I don't like the power of 2 and the for loop :
static void Main(string[] args)
{
byte[] sensorData = new byte[] { 0b11000010, 0b10000001 }; //(-1) * (2^(6) + 2^(1) + 2^(-1) + 2^(-8)) = -66.50390625
Console.WriteLine(ByteArrayToTemp(sensorData));
}
static double ByteArrayToTemp(byte[] data)
{
// Convert byte array to short to be able to shift it
if (BitConverter.IsLittleEndian)
Array.Reverse(data);
Int16 dataInt16 = BitConverter.ToInt16(data, 0);
double temp = 0;
for (int i = 0; i < 15; i++)
{
//We take the LSB of the data and multiply it by the corresponding second power (from -8 to 6)
//Then we shift the data for the next loop
temp += (dataInt16 & 0x01) * Math.Pow(2, -8 + i);
dataInt16 >>= 1;
}
if ((dataInt16 & 0x01) == 1) temp *= -1; //Sign bit
return temp;
}

This might be slightly more efficient, but I can't see it making much difference:
static double ByteArrayToTemp(byte[] data)
{
if (BitConverter.IsLittleEndian)
Array.Reverse(data);
ushort bits = BitConverter.ToUInt16(data, 0);
double scale = 1 << 6;
double result = 0;
for (int i = 0, bit = 1 << 14; i < 15; ++i, bit >>= 1, scale /= 2)
{
if ((bits & bit) != 0)
result += scale;
}
if ((bits & 0x8000) != 0)
result = -result;
return result;
}
You're not going to be able to avoid a loop when calculating this.

Ror byte array with C#

is there a way to Ror an entire byte[] by a specific amount?
I've already done some research and found a solution to Rol a byte[] :
public static byte[] ROL_ByteArray(byte[] arr, int nShift)
{
//Performs bitwise circular shift of 'arr' by 'nShift' bits to the left
//RETURN:
// = Result
byte[] resArr = new byte[arr.Length];
if(arr.Length > 0)
{
int nByteShift = nShift / (sizeof(byte) * 8); //Adjusted after #dasblinkenlight's correction
int nBitShift = nShift % (sizeof(byte) * 8);
if (nByteShift >= arr.Length)
nByteShift %= arr.Length;
int s = arr.Length - 1;
int d = s - nByteShift;
for (int nCnt = 0; nCnt < arr.Length; nCnt++, d--, s--)
{
while (d < 0)
d += arr.Length;
while (s < 0)
s += arr.Length;
byte byteS = arr[s];
resArr[d] |= (byte)(byteS << nBitShift);
resArr[d > 0 ? d - 1 : resArr.Length - 1] |= (byte)(byteS >> (sizeof(byte) * 8 - nBitShift));
}
}
return resArr;
}
The author of this code can be found here: Is there a function to do circular bitshift for a byte array in C#?
Any idea how I can do the same thing but perform a Ror operation instead of a Rol operation on a byte[] ?

static byte[] ROR_ByteArray(byte[] arr, int nShift)
{
return ROL_ByteArray(arr, arr.Length*8-nShift);
}

Decoding Bitcoin Base58 address to byte array

I'm trying to decode bitcoin address from Base58 string into byte array, and to do that I rewrited original function from Satoshi repository (https://github.com/bitcoin/bitcoin/blob/master/src/base58.cpp), written in c++, to c# (which I'm using).
Original code
static const char* pszBase58 = "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz";
bool DecodeBase58(const char *psz, std::vector<unsigned char>& vch) {
// Skip leading spaces.
while (*psz && isspace(*psz))
psz++;
// Skip and count leading '1's.
int zeroes = 0;
while (*psz == '1') {
zeroes++;
psz++;
}
// Allocate enough space in big-endian base256 representation.
std::vector<unsigned char> b256(strlen(psz) * 733 / 1000 + 1); // log(58) / log(256), rounded up.
// Process the characters.
while (*psz && !isspace(*psz)) {
// Decode base58 character
const char *ch = strchr(pszBase58, *psz);
if (ch == NULL)
return false;
// Apply "b256 = b256 * 58 + ch".
int carry = ch - pszBase58;
for (std::vector<unsigned char>::reverse_iterator it = b256.rbegin(); it != b256.rend(); it++) {
carry += 58 * (*it);
*it = carry % 256;
carry /= 256;
}
assert(carry == 0);
psz++;
}
// Skip trailing spaces.
while (isspace(*psz))
psz++;
if (*psz != 0)
return false;
// Skip leading zeroes in b256.
std::vector<unsigned char>::iterator it = b256.begin();
while (it != b256.end() && *it == 0)
it++;
// Copy result into output vector.
vch.reserve(zeroes + (b256.end() - it));
vch.assign(zeroes, 0x00);
while (it != b256.end())
vch.push_back(*(it++));
return true;
}
Mine rewrited c# version
private static string Base58characters = "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz";
public static bool Decode(string source, ref byte[] destination)
{
int i = 0;
while (i < source.Length)
{
if (source[i] == 0 || !Char.IsWhiteSpace(source[i]))
{
break;
}
i++;
}
int zeros = 0;
while (source[i] == '1')
{
zeros++;
i++;
}
byte[] b256 = new byte[(source.Length - i) * 733 / 1000 + 1];
while (i < source.Length && !Char.IsWhiteSpace(source[i]))
{
int ch = Base58characters.IndexOf(source[i]);
if (ch == -1) //null
{
return false;
}
int carry = Base58characters.IndexOf(source[i]);
for (int k = b256.Length - 1; k > 0; k--)
{
carry += 58 * b256[k];
b256[k] = (byte)(carry % 256);
carry /= 256;
}
i++;
}
while (i < source.Length && Char.IsWhiteSpace(source[i]))
{
i++;
}
if (i != source.Length)
{
return false;
}
int j = 0;
while (j < b256.Length && b256[j] == 0)
{
j++;
}
destination = new byte[zeros + (b256.Length - j)];
for (int kk = 0; kk < destination.Length; kk++)
{
if (kk < zeros)
{
destination[kk] = 0x00;
}
else
{
destination[kk] = b256[j++];
}
}
return true;
}
Function that I'm using for converting from byte-array to HexString
public static string ByteArrayToHexString(byte[] source)
{
return BitConverter.ToString(source).Replace("-", "");
}
To test if everything is working correctly I've used test cases found online here (https://github.com/ThePiachu/Bitcoin-Unit-Tests/blob/master/Address/Address%20Generation%20Test%201.txt). Good thing is that 97% of this test are passed correctly but for 3 there is a little error and I do not know where it is coming from. So my ask to you is to point me what could for these test go wrong or where in rewriting I've made an error. Thank you in advance.
The test cases where errors occures are 1, 21 and 25.
1.
Input:
16UwLL9Risc3QfPqBUvKofHmBQ7wMtjvM
Output:
000966776006953D5567439E5E39F86A0D273BEED61967F6
Should be:
00010966776006953D5567439E5E39F86A0D273BEED61967F6
21.
Input:
1v3VUYGogXD7S1E8kipahj7QXgC568dz1
Output:
0008201462985DF5255E4A6C9D493C932FAC98EF791E2F22
Should be:
000A08201462985DF5255E4A6C9D493C932FAC98EF791E2F22
25.
Input:
1axVFjCkMWDFCHjQHf99AsszXTuzxLxxg
Output:
006C0B8995C7464E89F6760900EA6978DF18157388421561
Should be:
00066C0B8995C7464E89F6760900EA6978DF18157388421561

In your for-loop:
for (int k = b256.Length - 1; k > 0; k--)
The loop condition should be k >= 0 so that you don't skip the first byte in b256.

Is there a function to do circular bitshift for a byte array in C#?

I can't seem to find if there's a built-in way to do a circular bitshift of a byte array, what C's ROL and ROR used to do with a single byte?
Let me explain, say, I have an array (in binary):
[0] = 11001110
[1] = 01000100
[2] = 10100001
and then if I want to do ROL_Array(1 bit) or move bits 1 bit to the left, I'd get:
[0] = 10011100
[1] = 10001001
[2] = 01000011
or, if I want to do ROR_Array(2 bits) or move bits 2 bits to the right, I'd get:
[0] = 00110011
[1] = 01010001
[2] = 10101000

This is not as simple as you'd think. Here's a quick version before this thread gets closed:
public static byte[] ROL_ByteArray(byte[] arr, int nShift)
{
//Performs bitwise circular shift of 'arr' by 'nShift' bits to the left
//RETURN:
// = Result
byte[] resArr = new byte[arr.Length];
if(arr.Length > 0)
{
int nByteShift = nShift / (sizeof(byte) * 8); //Adjusted after #dasblinkenlight's correction
int nBitShift = nShift % (sizeof(byte) * 8);
if (nByteShift >= arr.Length)
nByteShift %= arr.Length;
int s = arr.Length - 1;
int d = s - nByteShift;
for (int nCnt = 0; nCnt < arr.Length; nCnt++, d--, s--)
{
while (d < 0)
d += arr.Length;
while (s < 0)
s += arr.Length;
byte byteS = arr[s];
resArr[d] |= (byte)(byteS << nBitShift);
resArr[d > 0 ? d - 1 : resArr.Length - 1] |= (byte)(byteS >> (sizeof(byte) * 8 - nBitShift));
}
}
return resArr;
}
and here's a test:
byte[] arr = new byte[] {
Convert.ToByte("11001110", 2),
Convert.ToByte("01000100", 2),
Convert.ToByte("10100001", 2),
};
byte[] arr2 = Auth.ROL_ByteArray(arr, 1);
string sss = "";
for (int i = 0; i < arr2.Length; i++)
sss += Convert.ToString(arr2[i], 2) + ", ";
Debug.WriteLine(sss);

Converting a range into a bit array

I'm writing a time-critical piece of code in C# that requires me to convert two unsigned integers that define an inclusive range into a bit field. Ex:
uint x1 = 3;
uint x2 = 9;
//defines the range [3-9]
// 98 7654 3
//must be converted to: 0000 0011 1111 1000
It may help to visualize the bits in reverse order
The maximum value for this range is a parameter given at run-time which we'll call max_val. Therefore, the bit field variable ought to be defined as a UInt32 array with size equal to max_val/32:
UInt32 MAX_DIV_32 = max_val / 32;
UInt32[] bitArray = new UInt32[MAX_DIV_32];
Given a range defined by the variables x1 and x2, what is the fastest way to perform this conversion?

Try this. Calculate the range of array items that must be filled with all ones and do this by iterating over this range. Finally set the items at both borders.
Int32 startIndex = x1 >> 5;
Int32 endIndex = x2 >> 5;
bitArray[startIndex] = UInt32.MaxValue << (x1 & 31);
for (Int32 i = startIndex + 1; i <= endIndex; i++)
{
bitArray[i] = UInt32.MaxValue;
}
bitArray[endIndex] &= UInt32.MaxValue >> (31 - (x2 & 31));
May be the code is not 100% correct, but the idea should work.
Just tested it and found three bugs. The calculation at start index required a mod 32 and at end index the 32 must be 31 and a logical and instead of a assignment to handle the case of start and end index being the same. Should be quite fast.
Just benchmarked it with equal distribution of x1 and x2 over the array.
Intel Core 2 Duo E8400 3.0 GHz, MS VirtualPC with Server 2003 R2 on Windows XP host.
Array length [bits] 320 160 64
Performance [executions/s] 33 million 43 million 54 million
One more optimazation x % 32 == x & 31 but I am unable to meassure a performance gain. Because of only 10.000.000 iterations in my test the fluctuations are quite high. And I am running in VirtualPC making the situation even more unpredictable.

My solution for setting a whole range of bits in a BitArray to true or false:
public static BitArray SetRange(BitArray bitArray, Int32 offset, Int32 length, Boolean value)
{
Int32[] ints = new Int32[(bitArray.Count >> 5) + 1];
bitArray.CopyTo(ints, 0);
var firstInt = offset >> 5;
var lastInt = (offset + length) >> 5;
Int32 mask = 0;
if (value)
{
// set first and last int
mask = (-1 << (offset & 31));
if (lastInt != firstInt)
ints[lastInt] |= ~(-1 << ((offset + length) & 31));
else
mask &= ~(-1 << ((offset + length) & 31));
ints[firstInt] |= mask;
// set all ints in between
for (Int32 i = firstInt + 1; i < lastInt; i++)
ints[i] = -1;
}
else
{
// set first and last int
mask = ~(-1 << (offset & 31));
if (lastInt != firstInt)
ints[lastInt] &= -1 << ((offset + length) & 31);
else
mask |= -1 << ((offset + length) & 31);
ints[firstInt] &= mask;
// set all ints in between
for (Int32 i = firstInt + 1; i < lastInt; i++)
ints[i] = 0;
}
return new BitArray(ints) { Length = bitArray.Length };
}

You could try:
UInt32 x1 = 3;
UInt32 x2 = 9;
UInt32 newInteger = (UInt32)(Math.Pow(2, x2 + 1) - 1) &
~(UInt32)(Math.Pow(2, x1)-1);

Is there a reason not to use the System.Collections.BitArray class instead of a UInt32[]? Otherwise, I'd try something like this:
int minIndex = (int)x1/32;
int maxIndex = (int)x2/32;
// first handle the all zero regions and the all one region (if any)
for (int i = 0; i < minIndex; i++) {
bitArray[i] = 0;
}
for (int i = minIndex + 1; i < maxIndex; i++) {
bitArray[i] = UInt32.MaxValue; // set to all 1s
}
for (int i = maxIndex + 1; i < MAX_DIV_32; i++) {
bitArray[i] = 0;
}
// now handle the tricky parts
uint maxBits = (2u << ((int)x2 - 32 * maxIndex)) - 1; // set to 1s up to max
uint minBits = ~((1u << ((int)x1 - 32 * minIndex)) - 1); // set to 1s after min
if (minIndex == maxIndex) {
bitArray[minIndex] = maxBits & minBits;
}
else {
bitArray[minIndex] = minBits;
bitArray[maxIndex] = maxBits;
}

I was bored enough to try doing it with a char array and using Convert.ToUInt32(string, int) to convert to a uint from base 2.
uint Range(int l, int h)
{
char[] buffer = new char[h];
for (int i = 0; i < buffer.Length; i++)
{
buffer[i] = i < h - l ? '1' : '0';
}
return Convert.ToUInt32(new string(buffer), 2);
}
A simple benchmark shows that my method is about 5% faster than Angrey Jim's (even if you replace second Pow with a bit shift.)
It is probably the easiest to convert to producing a uint array if the upper bound is too big to fit into a single int. It's a little cryptic but I believe it works.
uint[] Range(int l, int h)
{
char[] buffer = new char[h];
for (int i = 0; i < buffer.Length; i++)
{
buffer[i] = i < h - l ? '1' : '0';
}
int bitsInUInt = sizeof(uint) * 8;
int numNeededUInts = (int)Math.Ceiling((decimal)buffer.Length /
(decimal)bitsInUInt);
uint[] uints = new uint[numNeededUInts];
for (int j = uints.Length - 1, s = buffer.Length - bitsInUInt;
j >= 0 && s >= 0;
j--, s -= bitsInUInt)
{
uints[j] = Convert.ToUInt32(new string(buffer, s, bitsInUInt), 2);
}
int remainder = buffer.Length % bitsInUInt;
if (remainder > 0)
{
uints[0] = Convert.ToUInt32(new string(buffer, 0, remainder), 2);
}
return uints;
}

Try this:
uint x1 = 3;
uint x2 = 9;
int cbToShift = x2 - x1; // 6
int nResult = ((1 << cbToShift) - 1) << x1;
/*
(1<<6)-1 gives you 63 = 111111, then you shift it on 3 bits left
*/