GeomAlg-0.2.3: Library of geometric algorithms in Haskell Source code Contents Index

GeomAlg.Triangle

Description

Triangle

Synopsis

newtype (Point p, Num a) => Triangle p a = Triangle (p a, p a, p a) type Triangle2 a = Triangle Point2 a type Triangle3 a = Triangle Point3 a vertices :: (Num a, Point p) => Triangle p a -> [p a] segments :: (Num a, Point p) => Triangle p a -> [Line p a] area :: Fractional a => Triangle Point2 a -> a containsBNV :: (Num a, Ord a) => Triangle Point2 a -> Point2 a -> Bool contains :: (Num a, Ord a) => Triangle Point2 a -> Point2 a -> Bool inInteriourOf :: (Num a, Ord a) => Point2 a -> Triangle Point2 a -> Bool checkBy :: (Num a, Ord a) => Rel3 Orientation -> Triangle2 a -> Point2 a -> Bool center :: Fractional a => Triangle2 a -> Point2 a

Documentation

newtype (Point p, Num a) => Triangle p a Source

Ein Dreieck Index{Triangle} ist ein Tripel von Punkten. Constructors Triangle (p a, p a, p a) Instances (Show a, RealFloat a) => MetaPost (Triangle Point2 a)

type Triangle2 a = Triangle Point2 a Source

type Triangle3 a = Triangle Point3 a Source

vertices :: (Num a, Point p) => Triangle p a -> [p a] Source

segments :: (Num a, Point p) => Triangle p a -> [Line p a] Source

area :: Fractional a => Triangle Point2 a -> a Source

containsBNV :: (Num a, Ord a) => Triangle Point2 a -> Point2 a -> Bool Source

contains :: (Num a, Ord a) => Triangle Point2 a -> Point2 a -> Bool Source

inInteriourOf :: (Num a, Ord a) => Point2 a -> Triangle Point2 a -> Bool Source

checkBy :: (Num a, Ord a) => Rel3 Orientation -> Triangle2 a -> Point2 a -> Bool Source

center :: Fractional a => Triangle2 a -> Point2 a Source

Manche Algorithmen benutzen nur das Vorzeichen des Flcheninhalts, um die Orientierung der Punkte bestimmen. Dieses kann mit der Funktion |orientation| aus dem Modul |Lines| geschehen. |center| ermittelt den Mittelpunkt des Umkreises eines Dreiecks.

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