# <QtMath> - Generic Math Functions

The <QtMath> header file provides various math functions. More...

Header: | #include <QtMath> |

## Functions

qreal | qAcos(qreal v) |

qreal | qAsin(qreal v) |

qreal | qAtan2(qreal y, qreal x) |

qreal | qAtan(qreal v) |

int | qCeil(qreal v) |

qreal | qCos(qreal v) |

float | qDegreesToRadians(float degrees) |

double | qDegreesToRadians(double degrees) |

qreal | qExp(qreal v) |

qreal | qFabs(qreal v) |

int | qFloor(qreal v) |

qreal | qLn(qreal v) |

quint32 | qNextPowerOfTwo(quint32 value) |

quint64 | qNextPowerOfTwo(quint64 value) |

quint32 | qNextPowerOfTwo(qint32 value) |

quint64 | qNextPowerOfTwo(qint64 value) |

qreal | qPow(qreal x, qreal y) |

float | qRadiansToDegrees(float radians) |

double | qRadiansToDegrees(double radians) |

qreal | qSin(qreal v) |

qreal | qSqrt(qreal v) |

qreal | qTan(qreal v) |

## Detailed Description

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:

Constant | Description |
---|---|

`M_E` | The base of the natural logarithms, e = exp(1) |

`M_LOG2E` | The base-two logarithm of e |

`M_LOG10E` | The base-ten logarithm of e |

`M_LN2` | The natural logarithm of two |

`M_LN10` | The natural logarithm of ten |

`M_PI` | The ratio of a circle's circumference to diameter, π |

`M_PI_2` | Half M_PI, π / 2 |

`M_PI_4` | Quarter M_PI, π / 4 |

`M_1_PI` | The inverse of M_PI, 1 / π |

`M_2_PI` | Twice the inverse of M_PI, 2 / π |

`M_2_SQRTPI` | Two divided by the square root of pi, 2 / √π |

`M_SQRT2` | The square root of two, √2 |

`M_SQRT1_2` | The square roof of half, 1 / √2 |

## Function Documentation

### qreal qAcos(qreal *v*)

Returns the arccosine of *v* as an angle in radians. Arccosine is the inverse operation of cosine.

**See also **qAtan(), qAsin(), and qCos().

### qreal qAsin(qreal *v*)

Returns the arcsine of *v* as an angle in radians. Arcsine is the inverse operation of sine.

**See also **qSin(), qAtan(), and qAcos().

### qreal qAtan2(qreal *y*, qreal *x*)

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().

### qreal qAtan(qreal *v*)

Returns the arctangent of *v* as an angle in radians. Arctangent is the inverse operation of tangent.

**See also **qTan(), qAcos(), and qAsin().

### int qCeil(qreal *v*)

Return 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().

### qreal qCos(qreal *v*)

Returns the cosine of an angle *v* in radians.

### float qDegreesToRadians(float *degrees*)

This function converts the *degrees* in float to radians.

Example:

float degrees = 180.0f float radians = qDegreesToRadians(degrees)

This function was introduced in Qt 5.1.

**See also **qRadiansToDegrees().

### double qDegreesToRadians(double *degrees*)

This function converts the *degrees* in double to radians.

Example:

double degrees = 180.0 double radians = qDegreesToRadians(degrees)

This function was introduced in Qt 5.1.

**See also **qRadiansToDegrees().

### qreal qExp(qreal *v*)

Returns the exponential function of `e`

to the power of *v*.

**See also **qLn().

### qreal qFabs(qreal *v*)

Returns the absolute value of *v* as a qreal.

### int qFloor(qreal *v*)

Return 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().

### qreal qLn(qreal *v*)

Returns the natural logarithm of *v*. Natural logarithm uses base e.

**See also **qExp().

### quint32 qNextPowerOfTwo(quint32 *value*)

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 function was introduced in Qt 5.4.

### quint64 qNextPowerOfTwo(quint64 *value*)

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 function was introduced in Qt 5.4.

### quint32 qNextPowerOfTwo(qint32 *value*)

This is an overloaded function.

This function returns the nearest power of two greater than *value*. For negative values it returns 0.

This function was introduced in Qt 5.4.

### quint64 qNextPowerOfTwo(qint64 *value*)

This is an overloaded function.

This function returns the nearest power of two greater than *value*. For negative values it returns 0.

This function was introduced in Qt 5.4.

### qreal qPow(qreal *x*, qreal *y*)

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().

### float qRadiansToDegrees(float *radians*)

This function converts the *radians* in float to degrees.

Example:

float radians = float(M_PI) float degrees = qRadiansToDegrees(radians)

This function was introduced in Qt 5.1.

**See also **qDegreesToRadians().

### double qRadiansToDegrees(double *radians*)

This function converts the *radians* in double to degrees.

Example:

double radians = M_PI double degrees = qRadiansToDegrees(radians)

This function was introduced in Qt 5.1.

**See also **qDegreesToRadians().

### qreal qSin(qreal *v*)

Returns the sine of the angle *v* in radians.

### qreal qSqrt(qreal *v*)

Returns the square root of *v*. This function returns a NaN if *v* is a negative number.

**See also **qPow().

### qreal qTan(qreal *v*)

Returns the tangent of an angle *v* in radians.

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