add Vector3RotateByAxisAngle (#2590)

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Crydsch 2022-07-26 14:27:28 +02:00 committed by GitHub
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@ -753,6 +753,58 @@ RMAPI Vector3 Vector3RotateByQuaternion(Vector3 v, Quaternion q)
return result;
}
// Rotates a vector around an axis
RMAPI Vector3 Vector3RotateByAxisAngle(Vector3 v, Vector3 axis, float angle)
{
// Using Euler-Rodrigues Formula
// Ref.: https://en.wikipedia.org/w/index.php?title=Euler%E2%80%93Rodrigues_formula
Vector3 result = v;
// Vector3Normalize(axis);
float length = sqrtf(axis.x * axis.x + axis.y * axis.y + axis.z * axis.z);
if (length == 0.0f) length = 1.0f;
float ilength = 1.0f / length;
axis.x *= ilength;
axis.y *= ilength;
axis.z *= ilength;
angle /= 2.0f;
float a = sinf(angle);
float b = axis.x * a;
float c = axis.y * a;
float d = axis.z * a;
a = cosf(angle);
Vector3 w = { b, c, d };
// Vector3CrossProduct(w, v)
Vector3 wv = { w.y * v.z - w.z * v.y, w.z * v.x - w.x * v.z, w.x * v.y - w.y * v.x };
// Vector3CrossProduct(w, wv)
Vector3 wwv = { w.y * wv.z - w.z * wv.y, w.z * wv.x - w.x * wv.z, w.x * wv.y - w.y * wv.x };
// Vector3Scale(wv, 2 * a)
a *= 2;
wv.x *= a;
wv.y *= a;
wv.z *= a;
// Vector3Scale(wwv, 2)
wwv.x *= 2;
wwv.y *= 2;
wwv.z *= 2;
result.x += wv.x;
result.y += wv.y;
result.z += wv.z;
result.x += wwv.x;
result.y += wwv.y;
result.z += wwv.z;
return result;
}
// Calculate linear interpolation between two vectors
RMAPI Vector3 Vector3Lerp(Vector3 v1, Vector3 v2, float amount)
{