Module cavalier_contours::core::math

Core/common math functions for working with angles, 2D space, intersections, etc.

Structs

Vector2

Enums

CircleCircleIntr

Holds the result of finding the intersect between two circles.

LineCircleIntr

Holds the result of finding the intersect between a line segment and a circle.

LineLineIntr

Holds the result of finding the intersect between two line segments.

Functions

angle

Angle of the direction vector described by p0 to p1.

angle_from_bulge

Returns the arc sweep angle for the given bulge.

angle_is_between

Same as angle_is_between_eps using default epsilon.

angle_is_between_eps

Tests if test_angle is between a start_angle and end_angle.

angle_is_within_sweep

Same as angle_is_within_sweep_eps using default epsilon.

angle_is_within_sweep_eps

Tests if test_angle is within the sweep_angle starting at start_angle.

bulge_from_angle

Returns the bulge for the given arc sweep_angle.

circle_circle_intr

Finds the intersects between two circles defined by the radius and center.

delta_angle

Returns the smaller difference between two angles.

delta_angle_signed

Returns the smaller difference between two angles and applies the sign given.

dist_squared

Distance squared between the points p0 and p1.

is_left

Returns true if point is left of a direction vector.

is_left_or_coincident

Same as is_left_or_coincident_eps using default epsilon.

is_left_or_coincident_eps

Returns true if point is left of a direction vector with fuzzy inclusion.

is_left_or_equal

Same as is_left but uses <= operator rather than < for boundary inclusion.

is_right_or_coincident

Same as is_right_or_coincident_eps using default epsilon.

is_right_or_coincident_eps

Returns true if point is right of a direction vector with fuzzy inclusion.

line_circle_intr

Finds the intersects between a line segment and a circle.

line_line_intr

Finds the intersects between two lines segments.

line_seg_closest_point

Returns the closest point on the line segment from p0 to p1 to the point given.

midpoint

Midpoint of a line segment defined by p0 to p1.

min_max

Returns the (min, max) values from v1 and v2.

normalize_radians

Normalize radians to be between 0 and 2PI, e.g. -PI/4 becomes 7PI/4 and 5PI becomes PI.

parametric_from_point

Returns the parametric value on the line segment going from p0 to p1 at the point given.

point_from_parametric

Returns the point on the line segment going from p0 to p1 at parametric value t.

point_on_circle

Returns the point on the circle with radius, center, and polar angle in radians given.

point_within_arc_sweep

Test if a point is within a arc sweep angle region.

quadratic_solutions

Returns the solutions to the quadratic equation.