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Function `std.math.remainder.remainder`

Calculate the remainder x REM y, following IEC 60559.


						
				real remainder
				(
				

				  real x,
				

				  real y
				

				) nothrow @nogc @trusted;

REM is the value of x - y * n, where n is the integer nearest the exact value of x / y. If |n - x / y| == 0.5, n is even. If the result is zero, it has the same sign as x. Otherwise, the sign of the result is the sign of x / y. Precision mode has no effect on the remainder functions.

remquo returns n in the parameter n.

Special Values
x	y	remainder(x, y)	n	invalid?
±0.0	not 0.0	±0.0	0.0	no
±∞	anything	-NAN	?	yes
anything	±0.0	±NAN	?	yes
!= ±∞	±∞	x	?	no

Example

import std.math.operations : feqrel;
import std.math.traits : isNaN;

assert(remainder(5.1, 3.0).feqrel(-0.9) > 16);
assert(remainder(-5.1, 3.0).feqrel(0.9) > 16);
writeln(remainder(0.0, 3.0)); // 0.0

assert(isNaN(remainder(1.0, 0.0)));
assert(isNaN(remainder(-1.0, 0.0)));

Example

import std.math.operations : feqrel;

int n;

assert(remquo(5.1, 3.0, n).feqrel(-0.9) > 16 && n == 2);
assert(remquo(-5.1, 3.0, n).feqrel(0.9) > 16 && n == -2);
assert(remquo(0.0, 3.0, n) == 0.0 && n == 0);

Authors

Walter Bright, Don Clugston, Conversion of CEPHES math library to D by Iain Buclaw and David Nadlinger

License

Boost License 1.0.

API Documentation

Function std.math.remainder.remainder

Example

Example

Authors

License

Function `std.math.remainder.remainder`