mathree.quaternion — com.github.itarck/mathree 0.1.2-SNAPSHOT

from-axis-angle cljs

(from-axis-angle axis angle)

Sets this quaternion from rotation specified by axis and angle. Adapted from the method here. Axis is assumed to be normalized, angle is in radians.

from-euler cljs

(from-euler e)

Sets this quaternion from the rotation specified by Euler angle.

from-rotation-matrix cljs

(from-rotation-matrix m4)

m - a Matrix4 of which the upper 3x3 of matrix is a pure rotation matrix (i.e. unscaled). Sets this quaternion from rotation component of m.

from-seq cljs

from-unit-vectors cljs

(from-unit-vectors v-from v-to)

Sets this quaternion to the rotation required to rotate direction vector vFrom to direction vector vTo.

identity-quaternion cljs

(identity-quaternion)

Sets this quaternion to the identity quaternion; that is, to the quaternion that represents no rotation.

IQuanternion cljs protocol

dot cljs

(dot q1 q2)

Calculates the dot product of quaternions v and this one.

angle-to cljs

(angle-to q1 q2)

Returns the angle between this quaternion and quaternion q in radians.

normalize cljs

(normalize q)

Normalizes this quaternion - that is, calculated the quaternion that performs the same rotation as this one, but has length equal to 1.

invert cljs

(invert q)

Inverts this quaternion - calculates the conjugate. The quaternion is assumed to have unit length.

slerp cljs

(slerp q1 q2 t)

q2 - The other quaternion rotation. t - interpolation factor in the closed interval [0, 1].

conjugate cljs

(conjugate q)

Returns the rotational conjugate of this quaternion. The conjugate of a quaternion represents the same rotation in the opposite direction about the rotational axis.

length-sq cljs

(length-sq q)

Computes the squared Euclidean length (straight-line length) of this quaternion, considered as a 4 dimensional vector. This can be useful if you are comparing the lengths of two quaternions, as this is a slightly more efficient calculation than length().

almost-equals cljs

(almost-equals q1 q2)

Return true if q1 and q2 are almost equal. every element is less than 0.000001.

equals cljs

(equals q1 q2)

Quaternion that this quaternion will be compared to.

clone' cljs

(clone' q)

Creates a new Quaternion with identical x, y, z and w properties to this one.

length cljs

(length q)

Computes the Euclidean length (straight-line length) of this quaternion, considered as a 4 dimensional vector.

rotate-towards cljs

(rotate-towards q1 q2 step)

q - The target quaternion. step - The angular step in radians.

multiply cljs

(multiply q1 q2)

Sets this quaternion to a x b.

quaternion cljs

(quaternion)

(quaternion x y z w)

Quaternion( x : Float, y : Float, z : Float, w : Float ) x - x coordinate y - y coordinate z - z coordinate w - w coordinate

quatn cljs

(quatn v)

convert a vector of 4 elements to quanternion