Пример #1
0
// Angle returns the angle between two vectors.
func Angle(a, b *T) float32 {
	v := Dot(a, b) / (a.Length() * b.Length())
	// prevent NaN
	if v > 1. {
		v = v - 2
	} else if v < -1. {
		v = v + 2
	}
	return math.Acos(v)
}
Пример #2
0
// Slerp returns the spherical linear interpolation quaternion between a and b at t (0,1).
// See http://en.wikipedia.org/wiki/Slerp
func Slerp(a, b *T, t float32) T {
	d := math.Acos(a[0]*b[0] + a[1]*b[1] + a[2]*b[2] + a[3]*b[3])
	ooSinD := 1 / math.Sin(d)

	t1 := math.Sin(d*(1-t)) * ooSinD
	t2 := math.Sin(d*t) * ooSinD

	q := T{
		a[0]*t1 + b[0]*t2,
		a[1]*t1 + b[1]*t2,
		a[2]*t1 + b[2]*t2,
		a[3]*t1 + b[3]*t2,
	}

	return q.Normalized()
}
Пример #3
0
// AxisAngle extracts the rotation in form of an axis and a rotation angle.
func (quat *T) AxisAngle() (axis vec3.T, angle float32) {
	cos := quat[3]
	sin := math.Sqrt(1 - cos*cos)
	angle = math.Acos(cos)

	var ooSin float32
	if math.Abs(sin) < 0.0005 {
		ooSin = 1
	} else {
		ooSin = 1 / sin
	}
	axis[0] = quat[0] * ooSin
	axis[1] = quat[1] * ooSin
	axis[2] = quat[2] * ooSin

	return axis, angle
}