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-rw-r--r--core/math/basis.cpp29
-rw-r--r--modules/mono/glue/Managed/Files/Basis.cs44
2 files changed, 39 insertions, 34 deletions
diff --git a/core/math/basis.cpp b/core/math/basis.cpp
index 9fcecd1ba6..1540bc8fe1 100644
--- a/core/math/basis.cpp
+++ b/core/math/basis.cpp
@@ -813,21 +813,28 @@ void Basis::set_axis_angle(const Vector3 &p_axis, real_t p_phi) {
ERR_FAIL_COND(!p_axis.is_normalized());
#endif
Vector3 axis_sq(p_axis.x * p_axis.x, p_axis.y * p_axis.y, p_axis.z * p_axis.z);
-
real_t cosine = Math::cos(p_phi);
- real_t sine = Math::sin(p_phi);
-
elements[0][0] = axis_sq.x + cosine * (1.0 - axis_sq.x);
- elements[0][1] = p_axis.x * p_axis.y * (1.0 - cosine) - p_axis.z * sine;
- elements[0][2] = p_axis.z * p_axis.x * (1.0 - cosine) + p_axis.y * sine;
-
- elements[1][0] = p_axis.x * p_axis.y * (1.0 - cosine) + p_axis.z * sine;
elements[1][1] = axis_sq.y + cosine * (1.0 - axis_sq.y);
- elements[1][2] = p_axis.y * p_axis.z * (1.0 - cosine) - p_axis.x * sine;
-
- elements[2][0] = p_axis.z * p_axis.x * (1.0 - cosine) - p_axis.y * sine;
- elements[2][1] = p_axis.y * p_axis.z * (1.0 - cosine) + p_axis.x * sine;
elements[2][2] = axis_sq.z + cosine * (1.0 - axis_sq.z);
+
+ real_t sine = Math::sin(p_phi);
+ real_t t = 1 - cosine;
+
+ real_t xyzt = p_axis.x * p_axis.y * t;
+ real_t zyxs = p_axis.z * sine;
+ elements[0][1] = xyzt - zyxs;
+ elements[1][0] = xyzt + zyxs;
+
+ xyzt = p_axis.x * p_axis.z * t;
+ zyxs = p_axis.y * sine;
+ elements[0][2] = xyzt + zyxs;
+ elements[2][0] = xyzt - zyxs;
+
+ xyzt = p_axis.y * p_axis.z * t;
+ zyxs = p_axis.x * sine;
+ elements[1][2] = xyzt - zyxs;
+ elements[2][1] = xyzt + zyxs;
}
void Basis::set_axis_angle_scale(const Vector3 &p_axis, real_t p_phi, const Vector3 &p_scale) {
diff --git a/modules/mono/glue/Managed/Files/Basis.cs b/modules/mono/glue/Managed/Files/Basis.cs
index d02dbe545f..9cc31a0557 100644
--- a/modules/mono/glue/Managed/Files/Basis.cs
+++ b/modules/mono/glue/Managed/Files/Basis.cs
@@ -575,31 +575,29 @@ namespace Godot
public Basis(Vector3 axis, real_t phi)
{
- var axis_sq = new Vector3(axis.x * axis.x, axis.y * axis.y, axis.z * axis.z);
-
+ Vector3 axisSq = new Vector3(axis.x * axis.x, axis.y * axis.y, axis.z * axis.z);
real_t cosine = Mathf.Cos(phi);
- real_t sine = Mathf.Sin(phi);
-
- Row0 = new Vector3
- (
- axis_sq.x + cosine * (1.0f - axis_sq.x),
- axis.x * axis.y * (1.0f - cosine) - axis.z * sine,
- axis.z * axis.x * (1.0f - cosine) + axis.y * sine
- );
+ Row0.x = axisSq.x + cosine * (1.0f - axisSq.x);
+ Row1.y = axisSq.y + cosine * (1.0f - axisSq.y);
+ Row2.z = axisSq.z + cosine * (1.0f - axisSq.z);
- Row1 = new Vector3
- (
- axis.x * axis.y * (1.0f - cosine) + axis.z * sine,
- axis_sq.y + cosine * (1.0f - axis_sq.y),
- axis.y * axis.z * (1.0f - cosine) - axis.x * sine
- );
-
- Row2 = new Vector3
- (
- axis.z * axis.x * (1.0f - cosine) - axis.y * sine,
- axis.y * axis.z * (1.0f - cosine) + axis.x * sine,
- axis_sq.z + cosine * (1.0f - axis_sq.z)
- );
+ real_t sine = Mathf.Sin(phi);
+ real_t t = 1.0f - cosine;
+
+ real_t xyzt = axis.x * axis.y * t;
+ real_t zyxs = axis.z * sine;
+ Row0.y = xyzt - zyxs;
+ Row1.x = xyzt + zyxs;
+
+ xyzt = axis.x * axis.z * t;
+ zyxs = axis.y * sine;
+ Row0.z = xyzt + zyxs;
+ Row2.x = xyzt - zyxs;
+
+ xyzt = axis.y * axis.z * t;
+ zyxs = axis.x * sine;
+ Row1.z = xyzt - zyxs;
+ Row2.y = xyzt + zyxs;
}
public Basis(Vector3 column0, Vector3 column1, Vector3 column2)