asge::math

The easing curves a Tween can follow: how progress in [0, 1] is reshaped over time.

Computes a circle's outline points using the midpoint circle algorithm.

Walks one octant with an integer error term (no trig/floats) and mirrors each point across both axes and the diagonal to cover the full circle.

Axis-aligned overlap test between two rectangles.

Overlap test between two circles (distance between centers vs.

summed radii).

Minimum translation vector to separate two overlapping AABBs.

Returns the smallest push-out along whichever axis (X or Y) has the lesser penetration depth, signed so applying it to inA's position moves it away from inB. std::nullopt if the boxes don't overlap.

Minimum translation vector to separate two overlapping circles.

Pushes along the line between the two centers, signed so applying it to inA's position moves it away from inB. std::nullopt if they don't overlap; if the centers exactly coincide, pushes along +X arbitrarily.

Minimum translation vector to separate an overlapping Rect and Circle.

Signed so applying it to inRect's position moves the rect away from the circle. std::nullopt if they don't overlap. See PenetrationVector(Circle, Rect) for the same pair with the push direction flipped.

PenetrationVector(Rect, Circle) with the push direction flipped — moves the circle away from the rect instead.

True if inP falls strictly inside inRect a point exactly on an edge does not count.

True if inRect2 lies fully inside inRect1 unlike the point overload, shared edges count as inside.

Computes the distance between a Rect and a point.

Merges two rects into a single bigger rect.

Samples a Hermite segment at inResolution evenly spaced steps and appends the resulting (t, cumulative distance) pairs to outTable.

Returns the segment's total arc length.

Evaluates a Catmull-Rom segment, expressed via its Hermite basis, at parameter inT in [0, 1], where inP1/inP2 are the segment's endpoints and inP0/inP3 are the neighbouring waypoints used to derive the endpoint tangents.

Derivative of Hermite() with respect to inT, i.e.

the (non normalized) tangent vector of the segment at parameter inT.

Maps inT (clamped to [0, 1]) through inEasing, so 0 stays 0 and 1 stays 1.

Rotates inVector by inAngle radians about the origin.

Positive angles turn clockwise on screen, matching this engine's screen-space (Y-down) convention.

Returns inVector scaled to unit length.

Dividing by a zero length (a zero vector) yields a vector of NaNs/infinities.