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std.math.remainder
This is a submodule of std.math.
It contains several versions of remainder calculation.
License:
Authors:
Walter Bright, Don Clugston,
Conversion of CEPHES math library to D by Iain Buclaw and David Nadlinger
Source std/math/remainder.d
- nothrow @nogc @trusted real
fmod
(realx
, realy
); - Calculates the remainder from the calculation x/y.Returns:The value of x - i * y, where i is the number of times that y can be completely subtracted from x. The result has the same sign as x.
Special Values x y fmod(x, y) invalid? ±0.0 not 0.0 ±0.0 no ±∞ anything NAN yes anything ±0.0 NAN yes !=±∞ ±∞ x no Examples:import std.math.operations : feqrel; import std.math.traits : isIdentical, isNaN; assert(isIdentical(fmod(0.0, 1.0), 0.0)); assert(fmod(5.0, 3.0).feqrel(2.0) > 16); assert(isNaN(fmod(5.0, 0.0)));
- nothrow @nogc @trusted real
modf
(realx
, ref reali
); - Breaks x into an integral part and a fractional part, each of which has the same sign as x. The integral part is stored in i.Returns:The fractional part of x.
Special Values x i (on input) modf(x, i) i (on return) ±∞ anything ±0.0 ±∞ Examples:import std.math.operations : feqrel; real frac; real intpart; frac = modf(3.14159, intpart); assert(intpart.feqrel(3.0) > 16); assert(frac.feqrel(0.14159) > 16);
- nothrow @nogc @trusted real
remainder
(realx
, realy
);
nothrow @nogc @trusted realremquo
(realx
, realy
, out intn
); - Calculate the remainder x REM y, following IEC 60559.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 parametern
.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 Examples: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)));
Examples: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);
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