Gui: Add tests to automatically verify the axonometric views
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committed by
Kacper Donat
parent
c0e03c42da
commit
84b4ef32bc
@@ -29,70 +29,6 @@
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using namespace Gui;
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/**
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Formulas to get quaternion for axonometric views:
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\code
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from math import sqrt, degrees, asin, atan
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p1=App.Rotation(App.Vector(1,0,0),90)
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p2=App.Rotation(App.Vector(0,0,1),alpha)
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p3=App.Rotation(p2.multVec(App.Vector(1,0,0)),beta)
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p4=p3.multiply(p2).multiply(p1)
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from pivy import coin
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c=Gui.ActiveDocument.ActiveView.getCameraNode()
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c.orientation.setValue(*p4.Q)
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\endcode
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The angles alpha and beta depend on the type of axonometry
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Isometric:
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\code
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alpha=45
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beta=degrees(asin(-sqrt(1.0/3.0)))
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\endcode
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Dimetric:
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\code
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alpha=degrees(asin(sqrt(1.0/8.0)))
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beta=degrees(-asin(1.0/3.0))
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\endcode
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Trimetric:
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\code
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alpha=30.0
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beta=-35.0
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\endcode
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Verification code that the axonomtries are correct:
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\code
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from pivy import coin
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c=Gui.ActiveDocument.ActiveView.getCameraNode()
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vo=App.Vector(c.getViewVolume().getMatrix().multVecMatrix(coin.SbVec3f(0,0,0)).getValue())
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vx=App.Vector(c.getViewVolume().getMatrix().multVecMatrix(coin.SbVec3f(10,0,0)).getValue())
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vy=App.Vector(c.getViewVolume().getMatrix().multVecMatrix(coin.SbVec3f(0,10,0)).getValue())
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vz=App.Vector(c.getViewVolume().getMatrix().multVecMatrix(coin.SbVec3f(0,0,10)).getValue())
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(vx-vo).Length
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(vy-vo).Length
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(vz-vo).Length
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# Projection
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vo.z=0
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vx.z=0
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vy.z=0
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vz.z=0
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(vx-vo).Length
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(vy-vo).Length
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(vz-vo).Length
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\endcode
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See also:
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http://www.mathematik.uni-marburg.de/~thormae/lectures/graphics1/graphics_6_2_ger_web.html#1
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http://www.mathematik.uni-marburg.de/~thormae/lectures/graphics1/code_v2/Axonometric/qt/Axonometric.cpp
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https://de.wikipedia.org/wiki/Arkussinus_und_Arkuskosinus
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*/
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SbRotation Camera::top()
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{
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return {0, 0, 0, 1};
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@@ -127,35 +63,31 @@ SbRotation Camera::left()
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SbRotation Camera::isometric()
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{
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//from math import sqrt, degrees, asin
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//p1=App.Rotation(App.Vector(1,0,0),45)
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//p2=App.Rotation(App.Vector(0,0,1),-45)
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//p3=p2.multiply(p1)
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//return SbRotation(0.353553f, -0.146447f, -0.353553f, 0.853553f);
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//from math import sqrt, degrees, asin
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//p1=App.Rotation(App.Vector(1,0,0),90)
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//p2=App.Rotation(App.Vector(0,0,1),135)
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//p3=App.Rotation(App.Vector(-1,1,0),degrees(asin(-sqrt(1.0/3.0))))
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//p4=p3.multiply(p2).multiply(p1)
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//return SbRotation(0.17592, 0.424708, 0.820473, 0.339851);
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//from math import sqrt, degrees, asin
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//p1=App.Rotation(App.Vector(1,0,0),90)
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//p2=App.Rotation(App.Vector(0,0,1),45)
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//#p3=App.Rotation(App.Vector(1,1,0),45)
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//p3=App.Rotation(App.Vector(1,1,0),degrees(asin(-sqrt(1.0/3.0))))
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//p4=p3.multiply(p2).multiply(p1)
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// The values here are precalculated as our quaternion implementation
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// does not support calculating the values in compile time.
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// The values are verified with unit tests.
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return {0.424708F, 0.17592F, 0.339851F, 0.820473F};
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}
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SbRotation Camera::dimetric()
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{
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// The values here are precalculated as our quaternion implementation
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// does not support calculating the values in compile time.
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// The values are verified with unit tests.
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// While there are multiple ways to calculate the dimetric rotation,
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// we use one which is similar to other CAD applications.
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return {0.567952F, 0.103751F, 0.146726F, 0.803205F};
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}
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SbRotation Camera::trimetric()
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{
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// The values here are precalculated as our quaternion implementation
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// does not support calculating the values in compile time.
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// The values are verified with unit tests.
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// While there are multiple ways to calculate the trimetric rotation,
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// we use one which is similar to other CAD applications.
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return {0.446015F, 0.119509F, 0.229575F, 0.856787F};
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}
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