Math

This section documents utility functions for common mathematical operations and comparisons, including interpolation and approximate equality checks for numeric and geometric values.

Functions

float mv::util::lerp(float v0, float v1, float t)

Linearly interpolates between two values v0 and v1 by t.

Parameters:

  • v0 – Start value

  • v1 – End value

  • t – Interpolation factor in the range [0, 1]

Returns:

Interpolated value

template<typename T>
bool mv::util::almostEqual(T a, T b, T relativeTolerance = T(1e-6), T absoluteTolerance = T(1e-12))

Checks whether two numerical values are almost equal.

Parameters:

  • a – Numerical value to compare

  • b – Numerical value to compare with

  • relativeTolerance – Relative tolerance

  • absoluteTolerance – Absolute tolerance

Returns:

Boolean determining whether the numerical values are almost equal

inline bool mv::util::arePointsEqual(const QPointF &point1, const QPointF &point2, qreal epsilon = 1e-5)

Checks whether two points are almost equal.

Parameters:

  • point1 – Point to compare

  • point2 – Point to compare with

  • epsilon – Tolerance

Returns:

Boolean determining whether the two points are almost equal

inline bool mv::util::areSizesEqual(const QSizeF &size1, const QSizeF &size2, qreal epsilon = 1e-5)

Checks whether two sizes are almost equal.

Parameters:

  • size1 – Size to compare

  • size2 – Size to compare with

  • epsilon – Tolerance

Returns:

Boolean determining whether the two sizes are almost equal

inline bool mv::util::areRectanglesEqual(const QRectF &rect1, const QRectF &rect2, qreal epsilon = 1e-5)

Checks whether two rectangles are almost equal.

Parameters:

  • rect1 – Rectangle to compare

  • rect2 – Rectangle to compare with

  • epsilon – Tolerance

Returns:

Boolean determining whether the two rectangles are almost equal