Splitting a double into an array in C - c

I'd like the following code to work:
double num = 31415; /* num will never have a decimal part */
/* ... code here so that we can now say */
printf("%d", num_array[0] == 3 && num_array[1] == 1 && num_array[4] == 5); //1
I realize it's trivial to do this with ints (just int i=0; while(num>0) numarr[size-++i] = num%10, num/=10; where size is predetermined to be the number of digits in the number), but that obviously won't work for floats/doubles because you can't mod one floats.
And yes, I need to use floats/doubles, despite not using the floating point section (it's an exercise).
And I have figured out how to determine the number of digits in a double, using floor().
/* n > 0, n=floor(n) */
int numdigits(double n){
int i = 0;
while (n >0)
n = floor(n/10), i++;
return i;
}

Look up fmod. The number of digits will probably be easier to compute using log10.

It's probably easiest to just convert it to a string:
char* str = malloc(num_digits+1);
snprintf(str, num_digits+1, "%f", num);
Indexing into str will give you each digit as an ASCII value, so you'll need to subtract '0' to get the actual numeric value:
str[0] - '0' == 3;
str[1] - '0' == 1;
str[2] - '0' == 4;
...

Apart from fmod(), you could also cast to a int64_t or long long int, and use % as before. If the range is less than 10 digits, you could use a int32_t.

Related

Float Calculation in Cooja

I'm using RPL in Contiki 3.0 and I need to make some calculations where the results are float. But instead of giving me the result in float, it is only calculating the integer number for example:
5/2 = 2.0 instead of 2.5. How can I get the right answer?
I can not print float or double in Contiki 3.0 so I'm using this code to convert float into a string:
// Reverses a string 'str' of length 'len'
void reverse(char* str, int len)
{
int i = 0, j = len - 1, temp;
while (i < j) {
temp = str[i];
str[i] = str[j];
str[j] = temp;
i++;
j--;
}
}
// Converts a given integer x to string str[].
// d is the number of digits required in the output.
// If d is more than the number of digits in x,
// then 0s are added at the beginning.
int intToStr(int x, char str[], int d)
{
int i = 0;
while (x) {
str[i++] = (x % 10) + '0';
x = x / 10;
}
// If number of digits required is more, then
// add 0s at the beginning
while (i < d)
str[i++] = '0';
reverse(str, i);
str[i] = '\0';
return i;
}
// Converts a floating-point/double number to a string.
void ftoa(float n, char* res, int afterpoint)
{
// Extract integer part
int ipart = (int)n;
// Extract floating part
float fpart = n - (float)ipart;
// convert integer part to string
int i = intToStr(ipart, res, 0);
// check for display option after point
if (afterpoint != 0) {
res[i] = '.'; // add dot
// Get the value of fraction part upto given no.
// of points after dot. The third parameter
// is needed to handle cases like 233.007
fpart = fpart * powf(10, afterpoint);
intToStr((int)fpart, res + i + 1, afterpoint);
}
}
I appreciate your help
Thanks
Hanin
If you want to print a number as a float, simply print the part before the floating point as an integer, print the dot, and then multiply the part after the floating point with a power of 10 and print it as another integer. For example, if you want to print 6 digits after the floating point, multiply the fractional part with 1000000.
You will need a separate buffer to print the part after the floating point first - the first digit must be nonzero, so the safe option to pad the number with another digit e.g. "1" that you do not print. To do that, simply add the 1.0 to the fractional part before multiplying it.
Here is the complete code:
float f = 5.0 / 2;
char fractional_part[10];
sprintf(fractional_part, "%d", (int)((f - (int)f + 1.0) * 1000000));
printf("%d.%s\n", (int)f, &fractional_part[1]); // prints "2.500000"
Because 5/2 is a form of integer division, what you put in you get out, meaning that if you put in 5/2 you will only get an integer back, in the form of 2.
To fix this, make your 5/2 is 5/2.0 so that it is read in as a float, and that will make sure that you will get an answer that is a floating-point decimal.
I also wanted to print float value in cooja, so I found this solution.
// digits before point
unsigned short d1(float f){
return((unsigned short)f);
}
// digits after point
unsigned short d2(float f){
return(1000*(f-d1(f)));
}
int main()
{
float max = 6.796;
printf("max value %u.%u \n", d1(max) , d2(max));
}

Converting int to char

Task is to get int using scanf("%d") then print it again using printf("%с") without standard functions like atoi , itoa .As i understood i need to divide all numbers then add \0 char and print it, however how can i divide it. I thought about loop for dividing number%10 + /0 and number/10 to decrease number for 1 character .
Therefore code should look smoothing like this
#include <conio.h>
#include <stdio.h>
main(void)
{
int number,reserve ;
char Array[50];
scanf_s("%d",&number);
if (number > 0 || number == 0)
{
do
{
reserve = number % 10;
printf("%c", reserve + '/0');
number /= 10;
} while (number != 0);
}
else
{
number *= -1;
printf("-");
do
{
reserve = number % 10;
printf("%c", reserve + '/0');
number /= 10;
} while (number != 0);
}
_getch();
return 0;
}
As well there can be negative number so i need some if statement to check if it is negative and in case it is loop should avoid it it so we won't get smthing like -%10
So i don't know if loop is correct (hope someone will fix it and explain me how it is supposed to be). Waiting for your advices.
One side effect of the line
number = number % 10;
is that you lose the original value of number. So when you go to do
number = number/10;
it would always get the value zero. To fix this, store the original value somewhere else, or use another variable to do your character conversion (modulo 10, then plus \0).
Also, your loop needs to be re-examined. This process of modulo, add \0, divide, repeat, should stop when the result of the division is zero (i.e. there are no more digits to print). Another thing to think about is: in what order are these digits being printed?
I'll leave it to you to to figure out how to determine if the value of an int is greater than or less than zero, since you didn't attempt that in this snippet.
this will help you, adopt for your purposes
#include <stdio.h>
int main() {
int a;
int i = 0;
int str_size = 0;
char str[11] = {};
char tmp;
scanf("%d", &a);
while (a) {
str[str_size++] = a % 10 + '0';
a /= 10;
}
str_size--;
while (i < str_size) { // rewind
tmp = str[i];
str[i++] = str[str_size];
str[str_size--] = tmp;
}
printf("%s", str);
return 0;
}

Convert a hexadecimal to a float and viceversa in C

I'm trying to write an algorithm to convert a hexadecimal number to a floating point number and vice versa. This is part of an assignment, the program is supposed to receive either an 8 digit hexadecimal number that starts with '0x' or a floating point number, and using the computer's 'built in IEEE 754 capabilities' convert the number to hex or float. The code should be in C.
My approach is the following. Store the input by the user as a string. Pass the input char array to a method that checks if it's a hexadecimal number by checking the first two positions of the array, which should be 0 and X (assume all hex numbers are passed this way). If this is the case, then I check that the hex is in the appropriate form, i.e not too many digits or numbers outside the 0-15 range (also considering the ABCDEF convention).
So, my problem is, I don't know how to turn this array back into a number that I can use to convert to floating point. I thought about using sscanf to turn it back into a float but I don't know enough C and haven't found any good sources online
Can somebody point me in the right direction? I also thought about storing the user input both as a string and a number at the same time, but I am not sure if this is possible.
Here are the two form checking functions and the incomplete main method:
int is_hex(char arr[])
{
if (arr[0] == '0' && (arr[1] == 'x' || arr[1] == 'X')) {
return 1;
}
return 0;
}
int check_if_good(char arr[])
{
if (is_hex(arr)) {
int len = strlen(arr);
for (int i = 2; i < len; i++) {
if ((arr[i] > 'f' && arr[i] <= 'z') || (arr[i] > 'F' && arr[i] <= 'Z')) {
return 0;
}
}
}
return 1;
}
int main(int argc, const char * argv[])
{
float x;
char input[30];
scanf("%s", input);
printf("%s", input);
return 0;
}
If somebody could also tell me the basics of what '%x' means i would really appreciate it. From what I understand it lets me collect numbers in hexadecimal form, but can i store them in ints and floats? Thank you very much for your help.
--Edit: Extra code for floris. I'm trying to solve this problem without using any extra libraries, so you can't use the stdint lib.
char input[30];
scanf("%s", input);
if(check_if_good(input)){ //Ignore this if-statement.
printf("Input is in hex form");
}
int num = convert_hex_string(input); // this function works perfectly. It return the int form of the hex.
double f = *((double*)&num);
printf("%f\n", f);
If you actually want to know what floating point number is represented by a particular hex string, you can convert the string to an integer, then look at the address pretending that it contains a floating point number. Here's how that would work:
#include <stdint.h>
#include <stdio.h>
int main(void) {
char myString[]="0x3f9d70a4";
uint32_t num;
float f;
sscanf(myString, "%x", &num); // assuming you checked input
f = *((float*)&num);
printf("the hexadecimal 0x%08x becomes %.3f as a float\n", num, f);
}
This produces as output
the hexadecimal 0x3f9d70a4 becomes 1.230 as a float
As expected. See my answer to your other question about a related topic for more details.
It should also be easy to see how you can do the above in reverse - start with a floating point number, and get the hexadecimal representation.
If you are permitted to use library functions, try atoi(arr) or sscanf(arr+2, "%x", &num)
If you want to parse the string manually, think about how you'd convert a decimal number. For example, converting "2987" to an integer...
int n = 0;
n += 1000 * 2;
n += 100 * 9;
n += 10 * 8;
n += 1 * 7;
Now apply the technique to hexadecimal. Here is a code snippet to do a single ascii character:
int char_to_int(char c) {
if (c >= '0' && c <= '9') return c - '0';
if (c >= 'A' && c <= 'F') return c - 'A' + 10;
return 0; /* oops, something else... */
}
You'll need to use either multiplication or bit operations. After you do your bounds/hex checking you described, do something like this:
float x = 0;
for(i=0;i<8;i++)
{
x += getDecimalValue(inputArray[i+2]) << (4*(7-i))
}
This is untested code & you will need to do the conversion from char to decimal value (A=10, B=11 ect). That bitwise operation is the same as multiplying the decimal equivalent of the hex character by 2^numberOfBits. This answer is assuming the leftmost hex is the most significant (Big endian), reverse the operation for little endianess.
If the input is in the form: "0x......" then
float f;
long l;
l = strtol(input, (char**)NULL, 16);
f = (float)l;
printf("%f", f);
valter

High-precision program that calculates 2^n

I'm building a program in C that can get powers of 2. The user inputs the value of n, and the program calculates 2^n.
Here's the code.
The problem comes when I input 100
What I am getting:
1,267,650,600,228,229,400,000,000,000,000
What I should get
1,267,650,600,228,229,401,496,703,205,376
It has to be coded entirely in ANSI C. Any ideas on how to increase the precision? The maximum value of N has to be 256 (256 bits, I imagine, which means the maximum output should be 2^256).
What I'm lacking here is precision, and I don't know how to fix that. Any ideas?
I think it's easiest if you work in base 10 from the start. This is because while calculating powers of 2 in binary is trivial, the conversion back to base 10 is a lot harder.
If you have an array of base 10 digits1, you only need to implement base 10 addition with carry to be able to multiply by 2 (by adding the number to itself). Do that n times in a loop and you have your answer.
If you wish to support higher exponents, you can also look into implementing exponentiation by squaring, but that's harder, since you'll need general multiplication, not just by 2 for that.
1 Tip: It's more convenient if you store the digits in reverse order.
Here is my quick and dirty implementation of hammar's approach., storing the decimal number as a C string with the digits in reverse order.
Run the code on ideone
void doubleDecimal(char * decimal)
{
char buffer[256] = "";
char c;
unsigned char d, carry = 0;
int i = 0;
while (c = decimal[i])
{
d = 2 * (c - '0') + carry;
buffer[i] = (d % 10) + '0';
carry = d / 10;
i++;
}
if (carry > 0)
buffer[i++] = (carry % 10) + '0';
buffer[i] = '\0';
strncpy(decimal, buffer, 256);
}
void reverse(char * str)
{
int i = 0;
int j = strlen(str) - 1;
while (j > i)
{
char tmp = str[i];
str[i] = str[j];
str[j] = tmp;
i++;
j--;
}
}
int main(void)
{
char decimal[256] = "1";
int i;
for (i = 0; i < 100; i++)
doubleDecimal(decimal);
reverse(decimal);
printf("%s", decimal);
return 0;
}
Output:
1267650600228229401496703205376
double is a (probably) 64bit value. You can't store 256 bits of precision in 64 bits. The reason that you are getting a number that is sort of close is because floating point numbers are stored with varying precision -- not all sequential numbers can be represented, but you can represent very large numbers. Pretty useless in this case.
What you want is either to use an arbitrary precision library or, since this is probably homework, you are expected to write your own.
A typical double, using 64-bit IEEE 754, has about 51 bits precision, IIRC.
Most probably the point of supporting exponents up to 256 is to exceed that precision, and also the precision of a long double or long long, so that you have to do things yourself.
As a homework exercise, then,
Store decimal digit values in an array + a digit count
Implement doubling of the value in such array + count
Start with 1 and double value appropriate number of times.
A few things you'll want to think about to solve this:
You are only dealing with integers so you should use an integer
representation (you will need to roll your own because you can't use
long long which is "only" 64 bits long).
Powers of 2 you say -how convenient - computers store numbers using powers of 2 (you'll
only need to use shift operations and bit fiddling .... no
multiplications will be needed).
How can you convert a base 2 number to a base 10 number for display purposes (think of division and outputting one number at a time (think about what a hardware divisor does in order to get the bit manipulations correct).
You can't the store 256 bits of precision in 64 bits. Reason that you are getting a number to close is because floating point numbers are stored with varying precision. To all sequential numbers can be represented, but you can represent very large numbers. Pretty useless in this case.
#include <conio.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
//constants
#define MAX_DIGITS 1000
//big integer number struct
struct bigint {
char Digits[MAX_DIGITS];
};
//assign a value
void assign(struct bigint* Number,int Value) {
if (Value!=1) {
printf("Can not assign value other than 1\n");
exit(0);
}
memset(Number,0,sizeof(bigint));
Number->Digits[0] = Value;
}
//multiply the big integer number with value
void multiply(struct bigint* Number,int Value) {
int Digit,New_Digit;
int Carry = 0;
for (int Index=0; Index<MAX_DIGITS; Index++) {
Digit = Number->Digits[Index];
New_Digit = Digit*Value%10;
if (New_Digit+Carry<10) {
New_Digit = New_Digit+Carry;
Carry = Digit*Value/10;
}
else {
New_Digit = (New_Digit+Carry)%10;
Carry = (Digit*Value/10)+1;
}
//set the new digit
Number->Digits[Index] = New_Digit;
}//for loop
}
//print out the value of big integer type
void print(struct bigint* Number) {
int Index = MAX_DIGITS-1;
while (Number->Digits[Index]==0 && Index>=0)
Index--;
//the big integer value is zero
if (Index==-1) {
printf("0");
return;
}
while (Index>=0) {
printf("%u",Number->Digits[Index]);
Index--;
}
}
//main programme entry point
int main(int Argc,char** Args) {
int Power = 100;
struct bigint Number;
//assign the initial value
assign(&Number,1);
//do the multiplication
for (int Index=0; Index<Power; Index++)
multiply(&Number,2);
//print result
print(&Number);
getch();
}
//END-OF-FILE

Converting int to int[] in 'C'

I basically want to convert a given int number and store individual digits in an array for further processing.
I know I can use % and get each digit and store it. But the thing is if I do not know the number of digits of the int till runtime and hence I cannot allocate the size of the array. So, I cannot work backwards (from the units place).
I also do not want to first store the number backwords in an array and then again reverse the array.
Is there any other way of getting about doing this?
Eg: int num = 12345;
OUTPUT: ar[0] = 1, ar[1] = 2 and so on, where ar[] is an int array.
Convert is probably not the right word. You can take the int, dynamically allocate a new int[], and then store the digits of the int into the int[]. I'm using log base 10 to calculate how many digits num has. Include math.h to use it. The following code is untested, but will give you an idea of what to do.
int num = 12345;
int size = (int)(log10(num)+1);
// allocate array
int *digits = (int*)malloc(sizeof(int) * size);
// get digits
for(int i=size-1; i>=0; --i) {
digits[i] = num%10;
num=num/10; // integer division
}
The easiest way is to calculate number of digits to know the size of an array you need
int input = <input number>; // >= 0
int d, numdigits = 1;
int *arr;
d = input;
while (d /= 10)
numdigits++;
arr = malloc(sizeof(int) * numdigits);
There's even easier way: probably you pass a number to your program as an argument from command line. In this case you receive it as a string in argp[N], so you can just call strlen(argp[N]) to determine number of digits in your number.
If you have a 32-bit integer type, the maximum value will be comprised of 10 digits at the most (excluding the sign for negative numbers). That could be your upper limit.
If you need to dynamically determine the minimum sufficient size, you can determine that with normal comparisons (since calling a logarithmic function is probably more expensive, but a possibility):
size = 10;
if (myint < 1000000000) size--;
if (myint < 100000000) size--;
/* ... */
Declaring the array to be of a dynamic size depends on the C language standard you are using. In C89 dynamic array sizes (based on values calculated during run-time) is not possible. You may need to use dynamically allocated memory.
HTH,
Johan
The following complete program shows one way to do this. It uses unsigned integers so as to not have to worry about converting - you didn't state what should happen for negative numbers so, like any good consultant, I made the problem disappear for my own convenience :-)
It basically works out the required size of an array and allocates it. The array itself has one element at the start specifying how many elements are in the array (a length int).
Each subsequent element is a digit in sequence. The main code below shows how to process it.
If it can't create the array, it'll just give you back NULL - you should also remember to free the memory passed back once you're done with it.
#include <stdio.h>
#include <stdlib.h>
int *convert (unsigned int num) {
unsigned int *ptr;
unsigned int digits = 0;
unsigned int temp = num;
// Figure out how many digits in the number.
if (temp == 0) {
digits = 1;
} else {
while (temp > 0) {
temp /= 10;
digits++;
}
}
// Allocate enough memory for length and digits.
ptr = malloc ((digits + 1) * sizeof (unsigned int));
// Populate array if we got one.
if (ptr != NULL) {
ptr[0] = digits;
for (temp = 0; temp < digits; temp++) {
ptr[digits - temp] = num % 10;
num /= 10;
}
}
return ptr;
}
That convert function above is the "meat" - it allocates an integer array to place the length (index 0) and digits (indexes 1 through N where N is the number of digits). The following was the test program I used.
int main (void) {
int i;
unsigned int num = 12345;
unsigned int *arr = convert (num);
if (arr == NULL) {
printf ("No memory\n");
} else {
// Length is index 0, rest are digits.
for (i = 1; i <= arr[0]; i++)
printf ("arr[%d] = %u\n", i, arr[i]);
free (arr);
}
return 0;
}
The output of this is:
arr[1] = 1
arr[2] = 2
arr[3] = 3
arr[4] = 4
arr[5] = 5
You can find out the number of digits by taking the base-10 logarithm and adding one. For that, you could use the log10 or log10f functions from the standard math library. This may be a bit slower, but it's probably the most exact as long as double has enough bits to exactly represent your number:
int numdigits = 1 + log10(num);
Alternatively, you could repeatedly divide by ten until the result is zero and count the digits that way.
Still another option is just to allocate enough room for the maximum number of digits the type can have. For a 32-bit integer, that'd be 10; for 64-bit, 20 should be enough. You can just zero the extra digits. Since that's not a lot of wasted space even in the worst case, it might be the simplest and fastest option. You'd have to know how many bits are in an int in your setup, though.
You can also estimate fairly well by allocating 3 digits for each 10 bits used, plus one. That should be enough digits unless the number of bits is ridiculously large (way above the number of digits any of the usual int types could have).
int numdigits = 1
unsigned int n = num;
for (n = num; n & 0x03ff; n >>= 10)
numdigits += 3;
/* numdigits is at least the needed number of digits, maybe up to 3 more */
This last one won't work (directly) if the number is negative.
What you basically want to do is to transform your integer to an array of its decimal positions. The printf family of functions perfectly knows how to do this, no need to reinvent the wheel. I am changing the assignment a bit since you didn't say anything about signs, and it simply makes more sense for unsigned values.
unsigned* res = 0;
size_t len = 0;
{
/* temporary array, large enough to hold the representation of any unsigned */
char positions[20] = { 0 };
sprintf(position, "%u", number);
len = strlen(position);
res = malloc(sizeof(unsigned[len]));
for (size_t i = 0; i < len; ++i)
res[i] = position[i] - '0';
}

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