public static Matrix4x4f LookAt(Vector3 eye, Vector3 target, Vector3 up)
{
var direction = (eye - target).normalized;
var left = Vector3.Cross(up, direction).normalized;
// Coverage for special case where up and direction are parallel.
if (float.IsNaN(left.x) || float.IsNaN(left.y) || float.IsNaN(left.z))
{
left = up == direction ? Vector3.left : Vector3.right;
}
var newUp = Vector3.Cross(direction, left).normalized;
// Coverage for special case where direction and left are parallel.
if (float.IsNaN(newUp.x) || float.IsNaN(newUp.y) || float.IsNaN(newUp.z))
{
newUp = direction == left ? Vector3.up : Vector3.down;
}
var result = new Matrix4x4f
{
x00 = left.x,
x01 = newUp.x,
x02 = direction.x,
x10 = left.y,
x11 = newUp.y,
x12 = direction.y,
x20 = left.z,
x21 = newUp.z,
x22 = direction.z,
x33 = 1
};
return(Translation(-eye) * result);
}
public static Matrix4x4f FromRows(Vector4 row0, Vector4 row1, Vector4 row2, Vector4 row3)
{
var result = new Matrix4x4f {
Row0 = row0, Row1 = row1, Row2 = row2, Row3 = row3
};
return(result);
}
public static Matrix4x4f FromColumns(Vector4 column0, Vector4 column1, Vector4 column2, Vector4 column3)
{
var result = new Matrix4x4f {
Column0 = column0, Column1 = column1, Column2 = column2, Column3 = column3
};
return(result);
}
public static Matrix4x4f Scale(Vector3 scale)
{
var result = new Matrix4x4f {
x00 = scale.x, x11 = scale.y, x22 = scale.z, x33 = 1.0f
};
return(result);
}
public static Matrix4x4f Orthographic(float left, float right, float bottom, float top, float near, float far)
{
var invWidth = 1.0f / (right - left);
var invHeight = 1.0f / (top - bottom);
var invLength = 1.0f / (far - near);
var result = new Matrix4x4f
{
x00 = 2.0f * invWidth,
x11 = 2.0f * invHeight,
x22 = -2.0f * invLength,
x30 = -(right + left) * invWidth,
x31 = -(top + bottom) * invHeight,
x32 = -(far + near) * invLength
};
return(result);
}
/// <inheritdoc />
public override MatrixF Multiply(float scale)
{
var result = new Matrix4x4f
{
x00 = this.x00 * scale,
x01 = this.x01 * scale,
x02 = this.x02 * scale,
x03 = this.x03 * scale,
x10 = this.x10 * scale,
x11 = this.x11 * scale,
x12 = this.x12 * scale,
x13 = this.x13 * scale,
x20 = this.x20 * scale,
x21 = this.x21 * scale,
x22 = this.x22 * scale,
x23 = this.x23 * scale,
x30 = this.x30 * scale,
x31 = this.x31 * scale,
x32 = this.x32 * scale,
x33 = this.x33 * scale
};
return(result);
}