The <QtMath> header file provides various math functions.
These functions are partly convenience definitions for basic math operations not available in the C or Standard Template Libraries.
The header also ensures some constants specified in POSIX, but not present in C++ standards (so absent from <math.h> on some platforms), are defined:
M_E
The base of the natural logarithms, e = exp(1)
Returns the arccosine of v
as an angle in radians. Arccosine is the inverse operation of cosine.
See also
qAtan()
qAsin()
qCos()
Returns the arcsine of v
as an angle in radians. Arcsine is the inverse operation of sine.
See also
qSin()
qAtan()
qAcos()
Returns the arctangent of v
as an angle in radians. Arctangent is the inverse operation of tangent.
See also
qTan()
qAcos()
qAsin()
Returns the arctangent of a point specified by the coordinates y
and x
. This function will return the angle (argument) of that point.
See also
qAtan()
qHypot()
Returns the ceiling of the value v
.
The ceiling is the smallest integer that is not less than v
. For example, if v
is 41.2, then the ceiling is 42.
See also
qFloor()
Returns the cosine of an angle v
in radians.
See also
qSin()
qTan()
This function converts the degrees
in float to radians.
Example:
degrees = 180.0f radians = qDegreesToRadians(degrees)See also
qRadiansToDegrees()
This function converts the degrees
in double to radians.
Example:
degrees = 180.0 radians = qDegreesToRadians(degrees)See also
qRadiansToDegrees()
This function converts the degrees
in double to radians.
See also
qRadiansToDegrees()
Returns the exponential function of e
to the power of v
.
See also
qLn()
Returns the absolute value of v
.
Returns the floor of the value v
.
The floor is the largest integer that is not greater than v
. For example, if v
is 41.2, then the floor is 41.
See also
qCeil()
Returns the distance from origin in arbitrarily many dimensions
This is as for the two-argument and three-argument forms, supported by std::hypot(), but with as many numeric parameters as you care to pass to it. Uses first
and each of the rest
as co-ordinates, performing a calculation equivalent to squaring each, summing and returning the square root, save that underflow and overflow are avoided as far as possible.
See also
qSqrt()
This is an overloaded function.
Returns the distance of a point (x, y) from the origin (0, 0).
This is qSqrt
(x * x + y * y), optimized. In particular, underflow and overflow may be avoided.
Accepts any mix of numeric types, returning the same floating-point type as std::hypot(). If either parameter is infinite, so is the result; otherwise, if either is a NaN, so is the result.
See also
qSqrt()
qAtan2()
This is an overloaded function.
Returns the distance of a point (x, y, z) from the origin (0, 0, 0).
This is qSqrt
(x * x + y * y + z * z), optimized where supported. In particular, underflow and overflow may be avoided.
Accepts any mix of numeric types, returning the same floating-point type as std::hypot(). If any parameter is infinite, so is the result; otherwise, if any is NaN, so is the result.
See also
qSqrt()
Returns the natural logarithm of v
. Natural logarithm uses base e.
See also
qExp()
This function returns the nearest power of two greater than value
. For 0 it returns 1, and for values larger than or equal to 2^31 it returns 0.
This is an overloaded function.
This function returns the nearest power of two greater than value
. For negative values it returns 0.
This function returns the nearest power of two greater than value
. For 0 it returns 1, and for values larger than or equal to 2^63 it returns 0.
This is an overloaded function.
This function returns the nearest power of two greater than value
. For negative values it returns 0.
Returns the value of x
raised to the power of y
. That is, x
is the base and y
is the exponent.
See also
qSqrt()
This function converts the radians
in float to degrees.
Example:
radians = float(M_PI) degrees = qRadiansToDegrees(radians)See also
qDegreesToRadians()
This function converts the radians
in double to degrees.
Example:
radians = M_PI() degrees = qRadiansToDegrees(radians)See also
qDegreesToRadians()
This function converts the radians
in double to degrees.
See also
qDegreesToRadians()
Returns the sine of the angle v
in radians.
See also
qCos()
qTan()
Returns the square root of v
. This function returns a NaN if v
is a negative number.
See also
qPow()
qHypot()
Returns the tangent of an angle v
in radians.
See also
qSin()
qCos()
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