Find the intersection of a line with a plane: Difference between revisions

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Find the intersection of a line with a plane (view source)

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Revision as of 21:35, 19 August 2023 (view source) Torbjoern (talk \| contribs) (→‎{{header\|D}}: add evaldraw solution for intersect line plane) ← Older edit		Latest revision as of 11:55, 5 December 2023 (view source) PureFox (talk \| contribs) m (→‎{{header\|Wren}}: Added libheader.)
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Line 591: {{out}} <pre>The ray intersects the plane at (0.000000,-5.000000,5.000000)</pre> =={{header\|EasyLang}}== {{trans\|Lua}} <syntaxhighlight lang=~~"ecmascript"~~easylang>~~class Vector3D {~~▼ proc minus . l[] r[] res[] . len res[] 3 for i to 3 res[i] = l[i] - r[i] }.▼ . func dot l[] r[] . for i to 3 res += _xl[i] =* xr[i]▼ . return res . proc scale f . l[] . for i to 3 l[i] = _yl[i] =* yf▼ . . proc inter_point rv[] rp[] pn[] pp[] . res[] . minus rp[] pp[] dif[] prd1 = dot dif[] pn[] prd2 = dot rv[] pn[] scale (prd1 / prd2) rv[] minus rp[] rv[] res[] . rv[] = [ 0.0 -1.0 -1.0 ] rp[] = [ 0.0 0.0 10.0 ] pn[] = [ 0.0 0.0 1.0 ] pp[] = [ 0.0 0.0 5.0 ] inter_point rv[] rp[] pn[] pp[] res[] print res[] </syntaxhighlight> =={{header\|Evaldraw}}== Line 596 ⟶ 631: Makes use of the intersectionPoint function to intersect 9 lines with 1 moving plane in a realtime demo. [[File:Evaldraw line vs plane.png\|thumb\|alt=Grid of 3x3 3d points intersecting a 3D plane\|Shows 3x3 grid of lines intersecting a plane. Gridlines drawn between intersection points. Intersection "time" value projected from 3d intersection point to 2d screen rendering.]] <syntaxhighlight lang="c"> struct vec{x,y,z;}; Line 1,789 ⟶ 1,824: Line definition: x=3t ; y=2+2t ; z=4+t Intersection: P(0.6,2.4,4.2)</pre> =={{header\|RPL}}== ≪ → rd rp pn pp ≪ rd rp pp - pn DOT * rd pn DOT / ≫ ≫ '<span style="color:blue">INTLP</span>' STO [ 0 -1 -1 ] [ 0 0 0 ] [ 0 0 1 ] [ 0 0 5 ] <span style="color:blue">INTLP</span> {{out}} <pre> 1: [ 0 -5 -5 ] </pre> =={{header\|Ruby}}== Line 2,042 ⟶ 2,088: =={{header\|Wren}}== {{trans\|Kotlin}} {{libheader\|Wren-vector}} ▲<syntaxhighlight lang="ecmascript">class Vector3D { <syntaxhighlight lang="wren">import "./vector" for Vector3 ~~construct new(x, y, z) {~~ ▲ _x = x ▲ _y = y ~~_z = z~~ ▲ } ~~x { _x }~~ ~~y { _y }~~ ~~z { _z }~~ ~~+(v) { Vector3D.new(_x + v.x, _y + v.y, _z + v.z) }~~ ~~-(v) { Vector3D.new(_x - v.x, _y - v.y, _z - v.z) }~~ (s) { Vector3D.new(s _x, s * _y, s * _z) } ~~dot(v) { _x * v.x + _y * v.y + _z * v.z }~~ ~~toString { "(%(_x), %(_y), %(_z))" }~~ } var intersectPoint = Fn.new { \|rayVector, rayPoint, planeNormal, planePoint\| Line 2,072 ⟶ 2,099: } var rv = ~~Vector3D~~Vector3.new(0, -1, -1) var rp = ~~Vector3D~~Vector3.new(0, 0, 10) var pn = ~~Vector3D~~Vector3.new(0, 0, 1) var pp = ~~Vector3D~~Vector3.new(0, 0, 5) var ip = intersectPoint.call(rv, rp, pn, pp) System.print("The ray intersects the plane at %(ip).")</syntaxhighlight>