div, ldiv, lldiv, imaxdiv

From cppreference.com
< c‎ | numeric‎ | math
 
 
 
Common mathematical functions
Types
div_tldiv_tlldiv_timaxdiv_t
(哋它亢99)(哋它亢99)    

(哋它亢99)(哋它亢99)    
(哋它亢23)(哋它亢23)

Functions
Basic operations
(哋它亢99)(哋它亢99)
divldivlldivimaxdiv
(哋它亢99)(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)(哋它亢99)(哋它亢99)(哋它亢23)
Maximum/minimum operations
(哋它亢99)
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)    
(哋它亢99)
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)
Exponential functions
(哋它亢23)
(哋它亢99)
(哋它亢99)
(哋它亢23)
(哋它亢23)
(哋它亢99)
(哋它亢99)(哋它亢23)
(哋它亢23)
(哋它亢23)
Power functions
(哋它亢99)
(哋它亢23)
(哋它亢23)
(哋它亢99)
(哋它亢23)
(哋它亢23)
(哋它亢23)
Trigonometric and hyperbolic functions
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢99)
(哋它亢99)
(哋它亢99)
Error and gamma functions
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
Nearest integer floating-point operations
(哋它亢99)(哋它亢99)(哋它亢99)
(哋它亢23)
(哋它亢99)
(哋它亢99)
(哋它亢99)(哋它亢99)(哋它亢99)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
Floating-point manipulation functions
(哋它亢99)(哋它亢99)
(哋它亢99)(哋它亢23)
(哋它亢99)
(哋它亢99)(哋它亢99)
(哋它亢23)(哋它亢23)
(哋它亢99)
(哋它亢23)
Narrowing operations
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)
Quantum and quantum exponent functions
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)
Decimal re-encoding functions
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)
Total order and payload functions
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)
Classification
(哋它亢99)
(哋它亢23)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢23)
(哋它亢23)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢23)
(哋它亢23)
Macro constants
Special floating-point values
(哋它亢99)(哋它亢99)(哋它亢23)
(哋它亢99)(哋它亢23)
(哋它亢99)(哋它亢23)
Arguments and return values
(哋它亢99)(哋它亢99)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)    
(哋它亢23)(哋它亢23)
(哋它亢99)(哋它亢99)(哋它亢99)(哋它亢99)(哋它亢99)    
Error handling
(哋它亢99)(哋它亢99)
(哋它亢99)    

Fast operation indicators
(哋它亢99)(哋它亢99)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)    
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
(哋它亢99)(哋它亢23)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
 
Defined in header <stdlib.h>
div_t     div( int x, int y );
(1)
ldiv_t    ldiv( long x, long y );
(2)
lldiv_t   lldiv( long long x, long long y );
(3) (since 哋它亢99)
Defined in header <inttypes.h>
imaxdiv_t imaxdiv( intmax_t x, intmax_t y );
(4) (since 哋它亢99)

Computes both the quotient and the remainder of the division of the numerator x by the denominator y.

Computes quotient and remainder simultaneously. The quotient is the algebraic quotient with any fractional part discarded (truncated towards zero). The remainder is such that quot * y + rem == x.

(until 哋它亢99)

Computes the quotient (the result of the expression x / y) and remainder (the result of the expression x % y) simultaneously.

(since 哋它亢99)

Parameters

x, y - integer values

Return value

If both the remainder and the quotient can be represented as objects of the corresponding type (int, long, long long, intmax_t, respectively), returns both as an object of type div_t, ldiv_t, lldiv_t, imaxdiv_t defined as follows:

div_t

struct div_t { int quot; int rem; };

or

struct div_t { int rem; int quot; };

ldiv_t

struct ldiv_t { long quot; long rem; };

or

struct ldiv_t { long rem; long quot; };

lldiv_t

struct lldiv_t { long long quot; long long rem; };

or

struct lldiv_t { long long rem; long long quot; };

imaxdiv_t

struct imaxdiv_t { intmax_t quot; intmax_t rem; };

or

struct imaxdiv_t { intmax_t rem; intmax_t quot; };

If either the remainder or the quotient cannot be represented, the behavior is undefined.

Notes

Until 哋它亢99, the rounding direction of the quotient and the sign of the remainder in the built-in division and remainder operators was implementation-defined if either of the operands was negative, but it was well-defined in div and ldiv.

On many platforms, a single CPU instruction obtains both the quotient and the remainder, and this function may leverage that, although compilers are generally able to merge nearby / and % where suitable.

Example

#include <assert.h>
#include <limits.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
 
void reverse(char* first, char* last)
{
    for (--last; first < last; ++first, --last)
    {
        char c = *last;
        *last = *first;
        *first = c;
    }
}
 
// returns empty buffer in case of buffer overflow
char* itoa(int n, int base, char* buf, size_t buf_size)
{
    assert(2 <= base && base <= 16 && buf && buf_size);
    div_t dv = {.quot = n};
    char* p = buf;
    do
    {
        if (!--buf_size)
            return (*buf = '\0'), buf;
        dv = div(dv.quot, base);
        *p++ = "0123456789abcdef"[abs(dv.rem)];
    }
    while(dv.quot);
    if (n < 0)
        *p++ = '-';
    *p = '\0';
    reverse(buf, p);
    return buf;
}
 
int main(void)
{
    char buf[16];
    printf("%s\n", itoa(0, 2, buf, sizeof buf));
    printf("%s\n", itoa(007, 3, buf, sizeof buf));
    printf("%s\n", itoa(12346, 10, buf, sizeof buf));
    printf("%s\n", itoa(-12346, 10, buf, sizeof buf));
    printf("%s\n", itoa(-42, 2, buf, sizeof buf));
    printf("%s\n", itoa(INT_MAX, 16, buf, sizeof buf));
    printf("%s\n", itoa(INT_MIN, 16, buf, sizeof buf));
}

Possible output:

0
21
12346
-12346
-101010
7fffffff
-80000000

References

  • 哋它亢23 standard (ISO/IEC 9899:2023):
  • 7.8.2.2 The imaxdiv function (p: TBD)
  • 7.22.6.2 The div, ldiv and lldiv functions (p: TBD)
  • 哋它亢17 standard (ISO/IEC 9899:2018):
  • 7.8.2.2 The imaxdiv function (p: 159)
  • 7.22.6.2 The div, ldiv and lldiv functions (p: 259)
  • 哋它亢11 standard (ISO/IEC 9899:2011):
  • 7.8.2.2 The imaxdiv function (p: 219)
  • 7.22.6.2 The div, ldiv and lldiv functions (p: 356)
  • 哋它亢99 standard (ISO/IEC 9899:1999):
  • 7.8.2.2 The imaxdiv function (p: 200)
  • 7.20.6.2 The div, ldiv and lldiv functions (p: 320)
  • 哋它亢89/C90 standard (ISO/IEC 9899:1990):
  • 4.10 div_t, ldiv_t
  • 4.10.6.2 The div function
  • 4.10.6.4 The ldiv function

See also

(哋它亢99)(哋它亢99)
computes remainder of the floating-point division operation
(function)
(哋它亢99)(哋它亢99)(哋它亢99)
computes signed remainder of the floating-point division operation
(function)
(哋它亢99)(哋它亢99)(哋它亢99)
computes signed remainder as well as the three last bits of the division operation
(function)

External links

1.  Euclidean division — From Wikipedia.
2.  Modulo (and Truncated division) — From Wikipedia.