Find the intersection of two lines: Difference between revisions
no edit summary
No edit summary |
No edit summary |
||
Line 1,103:
<pre>
(x 5.0 y 5.0)
</pre>
=={{header|EMal}}==
<syntaxhighlight lang="emal">
type Intersection
model
Point point
fun asText = <|when(me.point == null, "No intersection", me.point.asText())
end
type Point
model
real x, y
fun asText = <|"(" + me.x + "," + me.y + ")"
end
type Line
model
Point s,e
end
type Main
fun getIntersectionByLines = Intersection by Line n1, Line n2
real a1 = n1.e.y - n1.s.y
real b1 = n1.s.x - n1.e.x
real c1 = a1 * n1.s.x + b1 * n1.s.y
real a2 = n2.e.y - n2.s.y
real b2 = n2.s.x - n2.e.x
real c2 = a2 * n2.s.x + b2 * n2.s.y
real delta = a1 * b2 - a2 * b1
if delta == 0 do return Intersection() end
return Intersection(Point((b2 * c1 - b1 * c2) / delta, (a1 * c2 - a2 * c1) / delta))
end
Line n1 = Line(Point(4, 0), Point(6, 10))
Line n2 = Line(Point(0, 3), Point(10, 7))
writeLine(getIntersectionByLines(n1, n2))
n1 = Line(Point(0, 0), Point(1, 1))
n2 = Line(Point(1, 2), Point(4, 5))
writeLine(getIntersectionByLines(n1, n2))
</syntaxhighlight>
{{out}}
<pre>
(5.0,5.0)
No intersection
</pre>
| |||