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@@ -1,11 +1,6 @@
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= Math Cheat Sheet
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-:author:
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-:revnumber:
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-:revdate: 2016/03/17 20:48
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-:relfileprefix: ../../
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-:imagesdir: ../..
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-ifdef::env-github,env-browser[:outfilesuffix: .adoc]
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-
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+:revnumber: 2.0
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+:revdate: 2020/07/13
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== Formulas
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@@ -37,7 +32,7 @@ a|p0 = p1.add(v1)
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a| direction, position and distance +
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v1,p1,dist
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a|Position at distance +
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-p2
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+p2
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a|v1.normalzeLocal() +
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scaledDir = v1.mult(dist) +
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p2 = p1.add(scaledDir)
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@@ -63,7 +58,7 @@ a|v0 = p1.substract(p2)
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a|two points, a fraction +
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p1, p2, h=0.5f
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-a|the point “halfway (h=0.5f) between the two points +
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+a|the point "`halfway`" (h=0.5f) between the two points +
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new interpolated point p0
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a|p0 = FastMath.interpolateLinear(h,p1,p2)
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@@ -83,33 +78,33 @@ a|I want…
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a|Formula
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a|angle in degrees +
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-a
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+a
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a| to convert angle a from degrees to radians +
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new float angle phi
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a|phi = a / 180 * FastMath.PI; +
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OR +
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-phi=a.mult(FastMath.DEG_TO_RAD);
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+phi=a.mult(FastMath.DEG_TO_RAD);
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a|angle in radians +
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-phi
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+phi
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a| to convert angle phi from radians to degrees +
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new float angle a
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-a|a = phi * 180 / FastMath.PI
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+a|a = phi * 180 / FastMath.PI
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a|radian angle and x axis +
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-phi, x
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+phi, x
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a|to rotate around x axis +
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new quaternion q0
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a|q0.fromAngleAxis( phi, Vector3f.UNIT_X )
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a|radian angle and y axis +
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-phi, y
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+phi, y
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a|to rotate around y axis +
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new quaternion q0
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a|q0.fromAngleAxis( phi, Vector3f.UNIT_Y )
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a|radian angle and z axis +
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-phi, z
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+phi, z
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a|to rotate around z axis +
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new quaternion q0
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a|q0.fromAngleAxis( phi, Vector3f.UNIT_Z )
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mitm001