Module graphics::math

Various methods for computing with vectors.

Functions

• abs_transform
  Transforms from normalized to absolute coordinates.
• add
  Adds two vectors.
• area
  Computes area of a simple polygon.
• area_centroid
  Computes the area and centroid of a simple polygon.
• cast
  Converts to another vector type.
• centroid
  Computes centroid of a simple polygon.
• cross
  Computes the cross product.
• dot
  Computes the dot product.
• from_barycentric
  Transforms from barycentric coordinates to cartesian.
• get_scale
  Extract scale information from matrix.
• hsv
  Transform color with hue, saturation and value.
• identity
  Create an identity matrix.
• inside_triangle
  Returns true if point is inside triangle.
• invert
  Computes the inverse of a 2x3 matrix.
• least_separation_4
  Returns the least separation out of four. Each seperation can be computed using separation function. The separation returned can be used to solve collision of rectangles.
• line_side
  Returns a number that tells which side it is relative to a line.
• margin_rectangle
  Shrinks a rectangle by a factor on all sides.
• modular_offset
  Computes modular offset safely for numbers.
• mul
  Multiplies two vectors component wise.
• mul_scalar
  Multiplies the vector with a scalar.
• multiply
  Multiplies two matrices.
• orient
  Orients x axis to look at point.
• overlap_rectangle
  Computes overlap between two rectangles. The area of the overlapping rectangle is positive. A shared edge or corner is not considered overlap.
• perp
  Creates a perpendicular vector.
• relative_rectangle
  Computes a relative rectangle using the rectangle as a tile.
• relative_source_rectangle
  Computes a relative source rectangle using the source rectangle as a tile.
• rotate_radians
  Creates a rotation matrix.
• scale
  Create a scale matrix.
• separation
  Compute the shortest vector from point to ray. A ray stores starting point and directional vector.
• shear
  Create a shear matrix.
• square_len
  Computes the square length of a vector.
• sub
  Subtracts ‘b’ from ‘a’.
• to_barycentric
  Transforms from cartesian coordinates to barycentric.
• transform_pos
  Transforms a 2D position through matrix.
• transform_vec
  Transforms a 2D vector through matrix.
• translate
  Creates a translation matrix.
• triangle_face
  Returns true if triangle is clockwise.

Type Aliases

• Matrix2d
  The type used for matrices.
• Scalar
  The type used for scalars.
• Vec2d
  The type used for 2D vectors.
• Vec3d
  The type used for 3D vectors.