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/*
Q Light Controller Plus
Math3DView.js
Copyright (c) Massimo Callegari, Eric Arnebäck
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0.txt
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/
function perspective(fovy, aspect, zNear, zFar)
{
var ymax = zNear * Math.tan(fovy);
var xmax = ymax * aspect;
var left = -xmax;
var right = +xmax;
var bottom = -ymax;
var top = +ymax;
var f1, f2, f3, f4;
f1 = 2.0 * zNear;
f2 = right - left;
f3 = top - bottom;
f4 = zFar - zNear;
return Qt.matrix4x4(
f1 / f2, 0.0, 0.0, 0.0,
0.0, f1 / f3, 0.0, 0.0,
(right + left) / f2, (top + bottom) / f3, (-zFar - zNear) / f4, -1.0,
0.0, 0.0, (-zFar * f1) / f4, 0.0).transposed();
}
function getLightViewMatrix(lightMatrix, panRotation, tiltRotation, lightPos)
{
var m = Qt.matrix4x4();
m = m.times(lightMatrix);
m.rotate(panRotation, Qt.vector3d(0, 1, 0));
m.rotate(tiltRotation, Qt.vector3d(1, 0, 0));
// extract the axes of our view matrix.
var xb = (m.times(Qt.vector4d(1.0, 0.0, 0.0, 0.0))).toVector3d();
var yb = (m.times(Qt.vector4d(0.0, 1.0, 0.0, 0.0))).toVector3d();
var zb = (m.times(Qt.vector4d(0.0, 0.0, 1.0, 0.0))).toVector3d();
var left = zb;
var u = xb;
var forward = yb;
var eye = lightPos;
return Qt.matrix4x4(
left.x, u.x, forward.x, 0.0,
left.y, u.y, forward.y, 0.0,
left.z, u.z, forward.z, 0.0,
-left.dotProduct(eye), -u.dotProduct(eye), -forward.dotProduct(eye), 1.0).transposed();
}
function getLightProjectionMatrix(distCutoff, coneBottomRadius, coneTopRadius, headLength, cutoffAngle)
{
var d = distCutoff / (coneBottomRadius / coneTopRadius - 1.0);
var trans = -d + 0.5 * headLength;
return perspective(cutoffAngle, 1.0, d, d + distCutoff).times(Qt.matrix4x4(
1.0, 0.0, 0.0, 0.0,
0.0, 1.0, 0.0, 0.0,
0.0, 0.0, 1.0, trans,
0.0, 0.0, 0.0, 1.0));
}
function lookAt(eye, center, up)
{
// compute the basis vectors.
var forward = (center.minus(eye)).normalized(); // forward vector
var left = (forward.crossProduct(up)).normalized(); // left vector
var u = (left.crossProduct(forward)).normalized(); // up vector
return Qt.matrix4x4(
left.x, u.x, -forward.x, 0.0,
left.y, u.y, -forward.y, 0.0,
left.z, u.z, -forward.z, 0.0,
-left.dotProduct(eye), -u.dotProduct(eye), forward.dotProduct(eye), 1.0).transposed();
}
function getLightDirection(transform, panTransform, tiltTransform)
{
if (!transform)
return Qt.vector3d(0.0, 0.0, 0.0)
var m = transform.matrix;
if (panTransform) {
m = transform.matrix.times(panTransform.matrix);
}
if (tiltTransform) {
m = m.times(tiltTransform.matrix);
}
m = m.times(Qt.vector4d(0.0, -1.0, 0.0, 0.0));
return (m.toVector3d().normalized());
}
function getLightViewProjectionScaleOffsetMatrix(lightViewProjectionMatrix)
{
return Qt.matrix4x4(
0.5, 0.0, 0.0, 0.5,
0.0, 0.5, 0.0, 0.5,
0.0, 0.0, 0.5, 0.5,
0.0, 0.0, 0.0, 1.0).times(lightViewProjectionMatrix);
}
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