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Matrix4x4 Class Reference

#include <IceMatrix4x4.h>

Public Member Functions

inline_ Matrix4x4 ()
 Empty constructor. More...
 
inline_ Matrix4x4 (float m00, float m01, float m02, float m03, float m10, float m11, float m12, float m13, float m20, float m21, float m22, float m23, float m30, float m31, float m32, float m33)
 Constructor from 16 values. More...
 
inline_ Matrix4x4 (const Matrix4x4 &mat)
 Copy constructor. More...
 
inline_ ~Matrix4x4 ()
 Destructor. More...
 
inline_ Matrix4x4 & Set (float m00, float m01, float m02, float m10, float m11, float m12, float m20, float m21, float m22)
 Assign values (rotation only) More...
 
inline_ Matrix4x4 & Set (float m00, float m01, float m02, float m03, float m10, float m11, float m12, float m13, float m20, float m21, float m22, float m23, float m30, float m31, float m32, float m33)
 Assign values. More...
 
inline_ void Copy (const Matrix4x4 &source)
 Copy from a Matrix4x4. More...
 
inline_ void GetRow (const udword r, HPoint &p) const
 Returns a row. More...
 
inline_ void GetRow (const udword r, Point &p) const
 Returns a row. More...
 
inline_ const HPoint & GetRow (const udword r) const
 Returns a row. More...
 
inline_ HPoint & GetRow (const udword r)
 Returns a row. More...
 
inline_ void SetRow (const udword r, const HPoint &p)
 Sets a row. More...
 
inline_ void SetRow (const udword r, const Point &p)
 Sets a row. More...
 
inline_ void GetCol (const udword c, HPoint &p) const
 Returns a column. More...
 
inline_ void GetCol (const udword c, Point &p) const
 Returns a column. More...
 
inline_ void SetCol (const udword c, const HPoint &p)
 Sets a column. More...
 
inline_ void SetCol (const udword c, const Point &p)
 Sets a column. More...
 
inline_ const HPoint & GetTrans () const
 Returns the translation part of the matrix. More...
 
inline_ void GetTrans (Point &p) const
 Gets the translation part of the matrix. More...
 
inline_ void SetTrans (const Point &p)
 Sets the translation part of the matrix, from a Point. More...
 
inline_ void SetTrans (const HPoint &p)
 Sets the translation part of the matrix, from a HPoint. More...
 
inline_ void SetTrans (float tx, float ty, float tz)
 Sets the translation part of the matrix, from floats. More...
 
inline_ void SetScale (const Point &p)
 Sets the scale from a Point. The point is put on the diagonal. More...
 
inline_ void SetScale (float sx, float sy, float sz)
 Sets the scale from floats. Values are put on the diagonal. More...
 
void Scale (const Point &p)
 Scales from a Point. Each row is multiplied by a component. More...
 
void Scale (float sx, float sy, float sz)
 Scales from floats. Each row is multiplied by a value. More...
 
inline_ float Trace () const
 Computes the trace. The trace is the sum of the 4 diagonal components. More...
 
inline_ float Trace3x3 () const
 Computes the trace of the upper 3x3 matrix. More...
 
inline_ void Zero ()
 Clears the matrix. More...
 
inline_ void Identity ()
 Sets the identity matrix. More...
 
inline_ bool IsIdentity () const
 Checks for identity. More...
 
inline_ BOOL IsValid () const
 Checks matrix validity. More...
 
void RotX (float angle)
 Sets a rotation matrix around the X axis. More...
 
void RotY (float angle)
 Sets a rotation matrix around the Y axis. More...
 
void RotZ (float angle)
 Sets a rotation matrix around the Z axis. More...
 
Matrix4x4 & Rot (float angle, Point &p1, Point &p2)
 Makes a rotation matrix about an arbitrary axis. More...
 
void Transpose ()
 Transposes the matrix. More...
 
float CoFactor (udword row, udword col) const
 Computes a cofactor. Used for matrix inversion. More...
 
float Determinant () const
 Computes the determinant of the matrix. More...
 
Matrix4x4 & Invert ()
 Inverts the matrix. Determinant must be different from zero, else matrix can't be inverted. More...
 
inline_ operator Matrix3x3 () const
 Casts a Matrix4x4 to a Matrix3x3. More...
 
 operator Quat () const
 Casts a Matrix4x4 to a Quat. More...
 
 operator PR () const
 Casts a Matrix4x4 to a PR. More...
 
inline_ Matrix4x4 operator+ (const Matrix4x4 &mat) const
 Operator for Matrix4x4 Plus = Matrix4x4 + Matrix4x4;. More...
 
inline_ Matrix4x4 operator- (const Matrix4x4 &mat) const
 Operator for Matrix4x4 Minus = Matrix4x4 - Matrix4x4;. More...
 
inline_ Matrix4x4 operator* (const Matrix4x4 &mat) const
 Operator for Matrix4x4 Mul = Matrix4x4 * Matrix4x4;. More...
 
inline_ HPoint operator* (const HPoint &v) const
 Operator for HPoint Mul = Matrix4x4 * HPoint;. More...
 
inline_ Point operator* (const Point &v) const
 Operator for Point Mul = Matrix4x4 * Point;. More...
 
inline_ Matrix4x4 operator* (float s) const
 Operator for Matrix4x4 Scale = Matrix4x4 * float;. More...
 
inline_ Matrix4x4 operator/ (float s) const
 Operator for Matrix4x4 Div = Matrix4x4 / float;. More...
 
inline_ Matrix4x4 & operator+= (const Matrix4x4 &mat)
 Operator for Matrix4x4 += Matrix4x4;. More...
 
inline_ Matrix4x4 & operator-= (const Matrix4x4 &mat)
 Operator for Matrix4x4 -= Matrix4x4;. More...
 
Matrix4x4 & operator*= (const Matrix4x4 &mat)
 Operator for Matrix4x4 *= Matrix4x4;. More...
 
inline_ Matrix4x4 & operator*= (float s)
 Operator for Matrix4x4 *= float;. More...
 
inline_ Matrix4x4 & operator/= (float s)
 Operator for Matrix4x4 /= float;. More...
 
inline_ const HPoint & operator[] (int row) const
 
inline_ HPoint & operator[] (int row)
 

Public Attributes

float m [4][4]
 

Friends

inline_ friend Matrix4x4 operator* (float s, const Matrix4x4 &mat)
 Operator for Matrix4x4 Scale = float * Matrix4x4;. More...
 
inline_ friend Matrix4x4 operator/ (float s, const Matrix4x4 &mat)
 Operator for Matrix4x4 Div = float / Matrix4x4;. More...
 

Related Functions

(Note that these are not member functions.)

 InvertPRMatrix (Matrix4x4 &dest, const Matrix4x4 &src)
 

Detailed Description

4x4 matrix. DirectX-compliant, ie row-column order, ie m[Row][Col]. Same as: m11 m12 m13 m14 first row. m21 m22 m23 m24 second row. m31 m32 m33 m34 third row. m41 m42 m43 m44 fourth row. Translation is (m41, m42, m43), (m14, m24, m34, m44) = (0, 0, 0, 1). Stored in memory as m11 m12 m13 m14 m21...

Multiplication rules:

[x'y'z'1] = [xyz1][M]

x' = x*m11 + y*m21 + z*m31 + m41 y' = x*m12 + y*m22 + z*m32 + m42 z' = x*m13 + y*m23 + z*m33 + m43 1' = 0 + 0 + 0 + m44

Author
Pierre Terdiman
Version
1.0

Definition at line 21 of file IceMatrix4x4.h.

Constructor & Destructor Documentation

inline_ Matrix4x4::Matrix4x4 ( )
inline

Empty constructor.

Definition at line 28 of file IceMatrix4x4.h.

28 {}
inline_ Matrix4x4::Matrix4x4 ( float  m00,
float  m01,
float  m02,
float  m03,
float  m10,
float  m11,
float  m12,
float  m13,
float  m20,
float  m21,
float  m22,
float  m23,
float  m30,
float  m31,
float  m32,
float  m33 
)
inline

Constructor from 16 values.

Definition at line 30 of file IceMatrix4x4.h.

34  {
35  m[0][0] = m00; m[0][1] = m01; m[0][2] = m02; m[0][3] = m03;
36  m[1][0] = m10; m[1][1] = m11; m[1][2] = m12; m[1][3] = m13;
37  m[2][0] = m20; m[2][1] = m21; m[2][2] = m22; m[2][3] = m23;
38  m[3][0] = m30; m[3][1] = m31; m[3][2] = m32; m[3][3] = m33;
39  }
inline_ Matrix4x4::Matrix4x4 ( const Matrix4x4 &  mat)
inline

Copy constructor.

Definition at line 41 of file IceMatrix4x4.h.

References CopyMemory(), and m.

41 { CopyMemory(m, &mat.m, 16*sizeof(float)); }
inline_ Matrix4x4::~Matrix4x4 ( )
inline

Destructor.

Definition at line 43 of file IceMatrix4x4.h.

43 {}

Member Function Documentation

float Matrix4x4::CoFactor ( udword  row,
udword  col 
) const

Computes a cofactor. Used for matrix inversion.

inline_ void Matrix4x4::Copy ( const Matrix4x4 &  source)
inline

Copy from a Matrix4x4.

Definition at line 69 of file IceMatrix4x4.h.

References CopyMemory(), and m.

69 { CopyMemory(m, source.m, 16*sizeof(float)); }
float Matrix4x4::Determinant ( ) const

Computes the determinant of the matrix.

inline_ void Matrix4x4::GetCol ( const udword  c,
HPoint &  p 
) const
inline

Returns a column.

Definition at line 85 of file IceMatrix4x4.h.

References c, HPoint::w, Point::x, Point::y, and Point::z.

85 { p.x=m[0][c]; p.y=m[1][c]; p.z=m[2][c]; p.w=m[3][c]; }
inline_ void Matrix4x4::GetCol ( const udword  c,
Point &  p 
) const
inline

Returns a column.

Definition at line 87 of file IceMatrix4x4.h.

References c, Point::x, Point::y, and Point::z.

87 { p.x=m[0][c]; p.y=m[1][c]; p.z=m[2][c]; }
inline_ void Matrix4x4::GetRow ( const udword  r,
HPoint &  p 
) const
inline

Returns a row.

Definition at line 73 of file IceMatrix4x4.h.

References HPoint::w, Point::x, Point::y, and Point::z.

73 { p.x=m[r][0]; p.y=m[r][1]; p.z=m[r][2]; p.w=m[r][3]; }
inline_ void Matrix4x4::GetRow ( const udword  r,
Point &  p 
) const
inline

Returns a row.

Definition at line 75 of file IceMatrix4x4.h.

References Point::x, Point::y, and Point::z.

75 { p.x=m[r][0]; p.y=m[r][1]; p.z=m[r][2]; }
inline_ const HPoint& Matrix4x4::GetRow ( const udword  r) const
inline

Returns a row.

Definition at line 77 of file IceMatrix4x4.h.

77 { return *(const HPoint*)&m[r][0]; }
inline_ HPoint& Matrix4x4::GetRow ( const udword  r)
inline

Returns a row.

Definition at line 79 of file IceMatrix4x4.h.

79 { return *(HPoint*)&m[r][0]; }
inline_ const HPoint& Matrix4x4::GetTrans ( ) const
inline

Returns the translation part of the matrix.

Definition at line 95 of file IceMatrix4x4.h.

95 { return GetRow(3); }
inline_ void Matrix4x4::GetTrans ( Point &  p) const
inline

Gets the translation part of the matrix.

Definition at line 97 of file IceMatrix4x4.h.

References Point::x, Point::y, and Point::z.

97 { p.x=m[3][0]; p.y=m[3][1]; p.z=m[3][2]; }
inline_ void Matrix4x4::Identity ( )
inline

Sets the identity matrix.

Definition at line 174 of file IceMatrix4x4.h.

References Zero().

174 { Zero(); m[0][0] = m[1][1] = m[2][2] = m[3][3] = 1.0f; }
Matrix4x4& Matrix4x4::Invert ( )

Inverts the matrix. Determinant must be different from zero, else matrix can't be inverted.

inline_ bool Matrix4x4::IsIdentity ( ) const
inline

Checks for identity.

Definition at line 176 of file IceMatrix4x4.h.

References IEEE_1_0, and IR.

177  {
178  if(IR(m[0][0])!=IEEE_1_0) return false;
179  if(IR(m[0][1])!=0) return false;
180  if(IR(m[0][2])!=0) return false;
181  if(IR(m[0][3])!=0) return false;
182 
183  if(IR(m[1][0])!=0) return false;
184  if(IR(m[1][1])!=IEEE_1_0) return false;
185  if(IR(m[1][2])!=0) return false;
186  if(IR(m[1][3])!=0) return false;
187 
188  if(IR(m[2][0])!=0) return false;
189  if(IR(m[2][1])!=0) return false;
190  if(IR(m[2][2])!=IEEE_1_0) return false;
191  if(IR(m[2][3])!=0) return false;
192 
193  if(IR(m[3][0])!=0) return false;
194  if(IR(m[3][1])!=0) return false;
195  if(IR(m[3][2])!=0) return false;
196  if(IR(m[3][3])!=IEEE_1_0) return false;
197  return true;
198  }
inline_ BOOL Matrix4x4::IsValid ( ) const
inline

Checks matrix validity.

Definition at line 201 of file IceMatrix4x4.h.

References FALSE, i, IsValidFloat(), j, and TRUE.

202  {
203  for(udword j=0;j<4;j++)
204  {
205  for(udword i=0;i<4;i++)
206  {
207  if(!IsValidFloat(m[j][i])) return FALSE;
208  }
209  }
210  return TRUE;
211  }
inline_ Matrix4x4::operator Matrix3x3 ( ) const
inline

Casts a Matrix4x4 to a Matrix3x3.

Definition at line 244 of file IceMatrix4x4.h.

245  {
246  return Matrix3x3(
247  m[0][0], m[0][1], m[0][2],
248  m[1][0], m[1][1], m[1][2],
249  m[2][0], m[2][1], m[2][2]);
250  }
Matrix4x4::operator PR ( ) const

Casts a Matrix4x4 to a PR.

Matrix4x4::operator Quat ( ) const

Casts a Matrix4x4 to a Quat.

inline_ Matrix4x4 Matrix4x4::operator* ( const Matrix4x4 &  mat) const
inline

Operator for Matrix4x4 Mul = Matrix4x4 * Matrix4x4;.

Definition at line 278 of file IceMatrix4x4.h.

References m.

279  {
280  return Matrix4x4(
281  m[0][0]*mat.m[0][0] + m[0][1]*mat.m[1][0] + m[0][2]*mat.m[2][0] + m[0][3]*mat.m[3][0],
282  m[0][0]*mat.m[0][1] + m[0][1]*mat.m[1][1] + m[0][2]*mat.m[2][1] + m[0][3]*mat.m[3][1],
283  m[0][0]*mat.m[0][2] + m[0][1]*mat.m[1][2] + m[0][2]*mat.m[2][2] + m[0][3]*mat.m[3][2],
284  m[0][0]*mat.m[0][3] + m[0][1]*mat.m[1][3] + m[0][2]*mat.m[2][3] + m[0][3]*mat.m[3][3],
285 
286  m[1][0]*mat.m[0][0] + m[1][1]*mat.m[1][0] + m[1][2]*mat.m[2][0] + m[1][3]*mat.m[3][0],
287  m[1][0]*mat.m[0][1] + m[1][1]*mat.m[1][1] + m[1][2]*mat.m[2][1] + m[1][3]*mat.m[3][1],
288  m[1][0]*mat.m[0][2] + m[1][1]*mat.m[1][2] + m[1][2]*mat.m[2][2] + m[1][3]*mat.m[3][2],
289  m[1][0]*mat.m[0][3] + m[1][1]*mat.m[1][3] + m[1][2]*mat.m[2][3] + m[1][3]*mat.m[3][3],
290 
291  m[2][0]*mat.m[0][0] + m[2][1]*mat.m[1][0] + m[2][2]*mat.m[2][0] + m[2][3]*mat.m[3][0],
292  m[2][0]*mat.m[0][1] + m[2][1]*mat.m[1][1] + m[2][2]*mat.m[2][1] + m[2][3]*mat.m[3][1],
293  m[2][0]*mat.m[0][2] + m[2][1]*mat.m[1][2] + m[2][2]*mat.m[2][2] + m[2][3]*mat.m[3][2],
294  m[2][0]*mat.m[0][3] + m[2][1]*mat.m[1][3] + m[2][2]*mat.m[2][3] + m[2][3]*mat.m[3][3],
295 
296  m[3][0]*mat.m[0][0] + m[3][1]*mat.m[1][0] + m[3][2]*mat.m[2][0] + m[3][3]*mat.m[3][0],
297  m[3][0]*mat.m[0][1] + m[3][1]*mat.m[1][1] + m[3][2]*mat.m[2][1] + m[3][3]*mat.m[3][1],
298  m[3][0]*mat.m[0][2] + m[3][1]*mat.m[1][2] + m[3][2]*mat.m[2][2] + m[3][3]*mat.m[3][2],
299  m[3][0]*mat.m[0][3] + m[3][1]*mat.m[1][3] + m[3][2]*mat.m[2][3] + m[3][3]*mat.m[3][3]);
300  }
inline_ HPoint Matrix4x4::operator* ( const HPoint &  v) const
inline

Operator for HPoint Mul = Matrix4x4 * HPoint;.

Definition at line 303 of file IceMatrix4x4.h.

303 { return HPoint(GetRow(0)|v, GetRow(1)|v, GetRow(2)|v, GetRow(3)|v); }
inline_ Point Matrix4x4::operator* ( const Point &  v) const
inline

Operator for Point Mul = Matrix4x4 * Point;.

Definition at line 306 of file IceMatrix4x4.h.

References Point::x, Point::y, and Point::z.

307  {
308  return Point( m[0][0]*v.x + m[0][1]*v.y + m[0][2]*v.z + m[0][3],
309  m[1][0]*v.x + m[1][1]*v.y + m[1][2]*v.z + m[1][3],
310  m[2][0]*v.x + m[2][1]*v.y + m[2][2]*v.z + m[2][3] );
311  }
inline_ Matrix4x4 Matrix4x4::operator* ( float  s) const
inline

Operator for Matrix4x4 Scale = Matrix4x4 * float;.

Definition at line 314 of file IceMatrix4x4.h.

315  {
316  return Matrix4x4(
317  m[0][0]*s, m[0][1]*s, m[0][2]*s, m[0][3]*s,
318  m[1][0]*s, m[1][1]*s, m[1][2]*s, m[1][3]*s,
319  m[2][0]*s, m[2][1]*s, m[2][2]*s, m[2][3]*s,
320  m[3][0]*s, m[3][1]*s, m[3][2]*s, m[3][3]*s);
321  }
Matrix4x4& Matrix4x4::operator*= ( const Matrix4x4 &  mat)
inline

Operator for Matrix4x4 *= Matrix4x4;.

Definition at line 376 of file IceMatrix4x4.h.

References m, HPoint::w, Point::x, Point::y, and Point::z.

377  {
378  HPoint TempRow;
379 
380  GetRow(0, TempRow);
381  m[0][0] = TempRow.x*mat.m[0][0] + TempRow.y*mat.m[1][0] + TempRow.z*mat.m[2][0] + TempRow.w*mat.m[3][0];
382  m[0][1] = TempRow.x*mat.m[0][1] + TempRow.y*mat.m[1][1] + TempRow.z*mat.m[2][1] + TempRow.w*mat.m[3][1];
383  m[0][2] = TempRow.x*mat.m[0][2] + TempRow.y*mat.m[1][2] + TempRow.z*mat.m[2][2] + TempRow.w*mat.m[3][2];
384  m[0][3] = TempRow.x*mat.m[0][3] + TempRow.y*mat.m[1][3] + TempRow.z*mat.m[2][3] + TempRow.w*mat.m[3][3];
385 
386  GetRow(1, TempRow);
387  m[1][0] = TempRow.x*mat.m[0][0] + TempRow.y*mat.m[1][0] + TempRow.z*mat.m[2][0] + TempRow.w*mat.m[3][0];
388  m[1][1] = TempRow.x*mat.m[0][1] + TempRow.y*mat.m[1][1] + TempRow.z*mat.m[2][1] + TempRow.w*mat.m[3][1];
389  m[1][2] = TempRow.x*mat.m[0][2] + TempRow.y*mat.m[1][2] + TempRow.z*mat.m[2][2] + TempRow.w*mat.m[3][2];
390  m[1][3] = TempRow.x*mat.m[0][3] + TempRow.y*mat.m[1][3] + TempRow.z*mat.m[2][3] + TempRow.w*mat.m[3][3];
391 
392  GetRow(2, TempRow);
393  m[2][0] = TempRow.x*mat.m[0][0] + TempRow.y*mat.m[1][0] + TempRow.z*mat.m[2][0] + TempRow.w*mat.m[3][0];
394  m[2][1] = TempRow.x*mat.m[0][1] + TempRow.y*mat.m[1][1] + TempRow.z*mat.m[2][1] + TempRow.w*mat.m[3][1];
395  m[2][2] = TempRow.x*mat.m[0][2] + TempRow.y*mat.m[1][2] + TempRow.z*mat.m[2][2] + TempRow.w*mat.m[3][2];
396  m[2][3] = TempRow.x*mat.m[0][3] + TempRow.y*mat.m[1][3] + TempRow.z*mat.m[2][3] + TempRow.w*mat.m[3][3];
397 
398  GetRow(3, TempRow);
399  m[3][0] = TempRow.x*mat.m[0][0] + TempRow.y*mat.m[1][0] + TempRow.z*mat.m[2][0] + TempRow.w*mat.m[3][0];
400  m[3][1] = TempRow.x*mat.m[0][1] + TempRow.y*mat.m[1][1] + TempRow.z*mat.m[2][1] + TempRow.w*mat.m[3][1];
401  m[3][2] = TempRow.x*mat.m[0][2] + TempRow.y*mat.m[1][2] + TempRow.z*mat.m[2][2] + TempRow.w*mat.m[3][2];
402  m[3][3] = TempRow.x*mat.m[0][3] + TempRow.y*mat.m[1][3] + TempRow.z*mat.m[2][3] + TempRow.w*mat.m[3][3];
403 
404  return *this;
405  }
inline_ Matrix4x4& Matrix4x4::operator*= ( float  s)
inline

Operator for Matrix4x4 *= float;.

Definition at line 408 of file IceMatrix4x4.h.

409  {
410  m[0][0]*=s; m[0][1]*=s; m[0][2]*=s; m[0][3]*=s;
411  m[1][0]*=s; m[1][1]*=s; m[1][2]*=s; m[1][3]*=s;
412  m[2][0]*=s; m[2][1]*=s; m[2][2]*=s; m[2][3]*=s;
413  m[3][0]*=s; m[3][1]*=s; m[3][2]*=s; m[3][3]*=s;
414  return *this;
415  }
inline_ Matrix4x4 Matrix4x4::operator+ ( const Matrix4x4 &  mat) const
inline

Operator for Matrix4x4 Plus = Matrix4x4 + Matrix4x4;.

Definition at line 258 of file IceMatrix4x4.h.

References m.

259  {
260  return Matrix4x4(
261  m[0][0]+mat.m[0][0], m[0][1]+mat.m[0][1], m[0][2]+mat.m[0][2], m[0][3]+mat.m[0][3],
262  m[1][0]+mat.m[1][0], m[1][1]+mat.m[1][1], m[1][2]+mat.m[1][2], m[1][3]+mat.m[1][3],
263  m[2][0]+mat.m[2][0], m[2][1]+mat.m[2][1], m[2][2]+mat.m[2][2], m[2][3]+mat.m[2][3],
264  m[3][0]+mat.m[3][0], m[3][1]+mat.m[3][1], m[3][2]+mat.m[3][2], m[3][3]+mat.m[3][3]);
265  }
inline_ Matrix4x4& Matrix4x4::operator+= ( const Matrix4x4 &  mat)
inline

Operator for Matrix4x4 += Matrix4x4;.

Definition at line 356 of file IceMatrix4x4.h.

References m.

357  {
358  m[0][0]+=mat.m[0][0]; m[0][1]+=mat.m[0][1]; m[0][2]+=mat.m[0][2]; m[0][3]+=mat.m[0][3];
359  m[1][0]+=mat.m[1][0]; m[1][1]+=mat.m[1][1]; m[1][2]+=mat.m[1][2]; m[1][3]+=mat.m[1][3];
360  m[2][0]+=mat.m[2][0]; m[2][1]+=mat.m[2][1]; m[2][2]+=mat.m[2][2]; m[2][3]+=mat.m[2][3];
361  m[3][0]+=mat.m[3][0]; m[3][1]+=mat.m[3][1]; m[3][2]+=mat.m[3][2]; m[3][3]+=mat.m[3][3];
362  return *this;
363  }
inline_ Matrix4x4 Matrix4x4::operator- ( const Matrix4x4 &  mat) const
inline

Operator for Matrix4x4 Minus = Matrix4x4 - Matrix4x4;.

Definition at line 268 of file IceMatrix4x4.h.

References m.

269  {
270  return Matrix4x4(
271  m[0][0]-mat.m[0][0], m[0][1]-mat.m[0][1], m[0][2]-mat.m[0][2], m[0][3]-mat.m[0][3],
272  m[1][0]-mat.m[1][0], m[1][1]-mat.m[1][1], m[1][2]-mat.m[1][2], m[1][3]-mat.m[1][3],
273  m[2][0]-mat.m[2][0], m[2][1]-mat.m[2][1], m[2][2]-mat.m[2][2], m[2][3]-mat.m[2][3],
274  m[3][0]-mat.m[3][0], m[3][1]-mat.m[3][1], m[3][2]-mat.m[3][2], m[3][3]-mat.m[3][3]);
275  }
inline_ Matrix4x4& Matrix4x4::operator-= ( const Matrix4x4 &  mat)
inline

Operator for Matrix4x4 -= Matrix4x4;.

Definition at line 366 of file IceMatrix4x4.h.

References m.

367  {
368  m[0][0]-=mat.m[0][0]; m[0][1]-=mat.m[0][1]; m[0][2]-=mat.m[0][2]; m[0][3]-=mat.m[0][3];
369  m[1][0]-=mat.m[1][0]; m[1][1]-=mat.m[1][1]; m[1][2]-=mat.m[1][2]; m[1][3]-=mat.m[1][3];
370  m[2][0]-=mat.m[2][0]; m[2][1]-=mat.m[2][1]; m[2][2]-=mat.m[2][2]; m[2][3]-=mat.m[2][3];
371  m[3][0]-=mat.m[3][0]; m[3][1]-=mat.m[3][1]; m[3][2]-=mat.m[3][2]; m[3][3]-=mat.m[3][3];
372  return *this;
373  }
inline_ Matrix4x4 Matrix4x4::operator/ ( float  s) const
inline

Operator for Matrix4x4 Div = Matrix4x4 / float;.

Definition at line 334 of file IceMatrix4x4.h.

335  {
336  if(s) s = 1.0f / s;
337 
338  return Matrix4x4(
339  m[0][0]*s, m[0][1]*s, m[0][2]*s, m[0][3]*s,
340  m[1][0]*s, m[1][1]*s, m[1][2]*s, m[1][3]*s,
341  m[2][0]*s, m[2][1]*s, m[2][2]*s, m[2][3]*s,
342  m[3][0]*s, m[3][1]*s, m[3][2]*s, m[3][3]*s);
343  }
inline_ Matrix4x4& Matrix4x4::operator/= ( float  s)
inline

Operator for Matrix4x4 /= float;.

Definition at line 418 of file IceMatrix4x4.h.

419  {
420  if(s) s = 1.0f / s;
421  m[0][0]*=s; m[0][1]*=s; m[0][2]*=s; m[0][3]*=s;
422  m[1][0]*=s; m[1][1]*=s; m[1][2]*=s; m[1][3]*=s;
423  m[2][0]*=s; m[2][1]*=s; m[2][2]*=s; m[2][3]*=s;
424  m[3][0]*=s; m[3][1]*=s; m[3][2]*=s; m[3][3]*=s;
425  return *this;
426  }
inline_ const HPoint& Matrix4x4::operator[] ( int  row) const
inline

Definition at line 428 of file IceMatrix4x4.h.

428 { return *(const HPoint*)&m[row][0]; }
inline_ HPoint& Matrix4x4::operator[] ( int  row)
inline

Definition at line 429 of file IceMatrix4x4.h.

429 { return *(HPoint*)&m[row][0]; }
Matrix4x4& Matrix4x4::Rot ( float  angle,
Point &  p1,
Point &  p2 
)

Makes a rotation matrix about an arbitrary axis.

void Matrix4x4::RotX ( float  angle)
inline

Sets a rotation matrix around the X axis.

Definition at line 214 of file IceMatrix4x4.h.

References Identity().

214 { float Cos = cosf(angle), Sin = sinf(angle); Identity(); m[1][1] = m[2][2] = Cos; m[2][1] = -Sin; m[1][2] = Sin; }
void Matrix4x4::RotY ( float  angle)
inline

Sets a rotation matrix around the Y axis.

Definition at line 216 of file IceMatrix4x4.h.

References Identity().

216 { float Cos = cosf(angle), Sin = sinf(angle); Identity(); m[0][0] = m[2][2] = Cos; m[2][0] = Sin; m[0][2] = -Sin; }
void Matrix4x4::RotZ ( float  angle)
inline

Sets a rotation matrix around the Z axis.

Definition at line 218 of file IceMatrix4x4.h.

References Identity().

218 { float Cos = cosf(angle), Sin = sinf(angle); Identity(); m[0][0] = m[1][1] = Cos; m[1][0] = -Sin; m[0][1] = Sin; }
void Matrix4x4::Scale ( const Point &  p)
inline

Scales from a Point. Each row is multiplied by a component.

Definition at line 111 of file IceMatrix4x4.h.

References Point::x, Point::y, and Point::z.

112  {
113  m[0][0] *= p.x; m[1][0] *= p.y; m[2][0] *= p.z;
114  m[0][1] *= p.x; m[1][1] *= p.y; m[2][1] *= p.z;
115  m[0][2] *= p.x; m[1][2] *= p.y; m[2][2] *= p.z;
116  }
void Matrix4x4::Scale ( float  sx,
float  sy,
float  sz 
)
inline

Scales from floats. Each row is multiplied by a value.

Definition at line 118 of file IceMatrix4x4.h.

119  {
120  m[0][0] *= sx; m[1][0] *= sy; m[2][0] *= sz;
121  m[0][1] *= sx; m[1][1] *= sy; m[2][1] *= sz;
122  m[0][2] *= sx; m[1][2] *= sy; m[2][2] *= sz;
123  }
inline_ Matrix4x4& Matrix4x4::Set ( float  m00,
float  m01,
float  m02,
float  m10,
float  m11,
float  m12,
float  m20,
float  m21,
float  m22 
)
inline

Assign values (rotation only)

Definition at line 46 of file IceMatrix4x4.h.

49  {
50  m[0][0] = m00; m[0][1] = m01; m[0][2] = m02;
51  m[1][0] = m10; m[1][1] = m11; m[1][2] = m12;
52  m[2][0] = m20; m[2][1] = m21; m[2][2] = m22;
53  return *this;
54  }
inline_ Matrix4x4& Matrix4x4::Set ( float  m00,
float  m01,
float  m02,
float  m03,
float  m10,
float  m11,
float  m12,
float  m13,
float  m20,
float  m21,
float  m22,
float  m23,
float  m30,
float  m31,
float  m32,
float  m33 
)
inline

Assign values.

Definition at line 56 of file IceMatrix4x4.h.

60  {
61  m[0][0] = m00; m[0][1] = m01; m[0][2] = m02; m[0][3] = m03;
62  m[1][0] = m10; m[1][1] = m11; m[1][2] = m12; m[1][3] = m13;
63  m[2][0] = m20; m[2][1] = m21; m[2][2] = m22; m[2][3] = m23;
64  m[3][0] = m30; m[3][1] = m31; m[3][2] = m32; m[3][3] = m33;
65  return *this;
66  }
inline_ void Matrix4x4::SetCol ( const udword  c,
const HPoint &  p 
)
inline

Sets a column.

Definition at line 89 of file IceMatrix4x4.h.

References c, HPoint::w, Point::x, Point::y, and Point::z.

89 { m[0][c]=p.x; m[1][c]=p.y; m[2][c]=p.z; m[3][c]=p.w; }
inline_ void Matrix4x4::SetCol ( const udword  c,
const Point &  p 
)
inline

Sets a column.

Definition at line 91 of file IceMatrix4x4.h.

References c, f, Point::x, Point::y, and Point::z.

91 { m[0][c]=p.x; m[1][c]=p.y; m[2][c]=p.z; m[3][c]= (c!=3) ? 0.0f : 1.0f; }
inline_ void Matrix4x4::SetRow ( const udword  r,
const HPoint &  p 
)
inline

Sets a row.

Definition at line 81 of file IceMatrix4x4.h.

References HPoint::w, Point::x, Point::y, and Point::z.

81 { m[r][0]=p.x; m[r][1]=p.y; m[r][2]=p.z; m[r][3]=p.w; }
inline_ void Matrix4x4::SetRow ( const udword  r,
const Point &  p 
)
inline

Sets a row.

Definition at line 83 of file IceMatrix4x4.h.

References f, Point::x, Point::y, and Point::z.

83 { m[r][0]=p.x; m[r][1]=p.y; m[r][2]=p.z; m[r][3]= (r!=3) ? 0.0f : 1.0f; }
inline_ void Matrix4x4::SetScale ( const Point &  p)
inline

Sets the scale from a Point. The point is put on the diagonal.

Definition at line 107 of file IceMatrix4x4.h.

References Point::x, Point::y, and Point::z.

107 { m[0][0]=p.x; m[1][1]=p.y; m[2][2]=p.z; }
inline_ void Matrix4x4::SetScale ( float  sx,
float  sy,
float  sz 
)
inline

Sets the scale from floats. Values are put on the diagonal.

Definition at line 109 of file IceMatrix4x4.h.

109 { m[0][0]=sx; m[1][1]=sy; m[2][2]=sz; }
inline_ void Matrix4x4::SetTrans ( const Point &  p)
inline

Sets the translation part of the matrix, from a Point.

Definition at line 99 of file IceMatrix4x4.h.

References Point::x, Point::y, and Point::z.

99 { m[3][0]=p.x; m[3][1]=p.y; m[3][2]=p.z; }
inline_ void Matrix4x4::SetTrans ( const HPoint &  p)
inline

Sets the translation part of the matrix, from a HPoint.

Definition at line 101 of file IceMatrix4x4.h.

References HPoint::w, Point::x, Point::y, and Point::z.

101 { m[3][0]=p.x; m[3][1]=p.y; m[3][2]=p.z; m[3][3]=p.w; }
inline_ void Matrix4x4::SetTrans ( float  tx,
float  ty,
float  tz 
)
inline

Sets the translation part of the matrix, from floats.

Definition at line 103 of file IceMatrix4x4.h.

103 { m[3][0]=tx; m[3][1]=ty; m[3][2]=tz; }
inline_ float Matrix4x4::Trace ( ) const
inline

Computes the trace. The trace is the sum of the 4 diagonal components.

Definition at line 168 of file IceMatrix4x4.h.

168 { return m[0][0] + m[1][1] + m[2][2] + m[3][3]; }
inline_ float Matrix4x4::Trace3x3 ( ) const
inline

Computes the trace of the upper 3x3 matrix.

Definition at line 170 of file IceMatrix4x4.h.

170 { return m[0][0] + m[1][1] + m[2][2]; }
void Matrix4x4::Transpose ( )
inline

Transposes the matrix.

Definition at line 224 of file IceMatrix4x4.h.

References IR.

225  {
226  IR(m[1][0]) ^= IR(m[0][1]); IR(m[0][1]) ^= IR(m[1][0]); IR(m[1][0]) ^= IR(m[0][1]);
227  IR(m[2][0]) ^= IR(m[0][2]); IR(m[0][2]) ^= IR(m[2][0]); IR(m[2][0]) ^= IR(m[0][2]);
228  IR(m[3][0]) ^= IR(m[0][3]); IR(m[0][3]) ^= IR(m[3][0]); IR(m[3][0]) ^= IR(m[0][3]);
229  IR(m[1][2]) ^= IR(m[2][1]); IR(m[2][1]) ^= IR(m[1][2]); IR(m[1][2]) ^= IR(m[2][1]);
230  IR(m[1][3]) ^= IR(m[3][1]); IR(m[3][1]) ^= IR(m[1][3]); IR(m[1][3]) ^= IR(m[3][1]);
231  IR(m[2][3]) ^= IR(m[3][2]); IR(m[3][2]) ^= IR(m[2][3]); IR(m[2][3]) ^= IR(m[3][2]);
232  }
inline_ void Matrix4x4::Zero ( )
inline

Clears the matrix.

Definition at line 172 of file IceMatrix4x4.h.

References ZeroMemory().

172 { ZeroMemory(&m, sizeof(m)); }

Friends And Related Function Documentation

InvertPRMatrix ( Matrix4x4 &  dest,
const Matrix4x4 &  src 
)
related

Inverts a PR matrix. (which only contains a rotation and a translation) This is faster and less subject to FPU errors than the generic inversion code.

Parameters
dest[out] destination matrix
src[in] source matrix
inline_ friend Matrix4x4 operator* ( float  s,
const Matrix4x4 &  mat 
)
friend

Operator for Matrix4x4 Scale = float * Matrix4x4;.

Definition at line 324 of file IceMatrix4x4.h.

325  {
326  return Matrix4x4(
327  s*mat.m[0][0], s*mat.m[0][1], s*mat.m[0][2], s*mat.m[0][3],
328  s*mat.m[1][0], s*mat.m[1][1], s*mat.m[1][2], s*mat.m[1][3],
329  s*mat.m[2][0], s*mat.m[2][1], s*mat.m[2][2], s*mat.m[2][3],
330  s*mat.m[3][0], s*mat.m[3][1], s*mat.m[3][2], s*mat.m[3][3]);
331  }
inline_ friend Matrix4x4 operator/ ( float  s,
const Matrix4x4 &  mat 
)
friend

Operator for Matrix4x4 Div = float / Matrix4x4;.

Definition at line 346 of file IceMatrix4x4.h.

347  {
348  return Matrix4x4(
349  s/mat.m[0][0], s/mat.m[0][1], s/mat.m[0][2], s/mat.m[0][3],
350  s/mat.m[1][0], s/mat.m[1][1], s/mat.m[1][2], s/mat.m[1][3],
351  s/mat.m[2][0], s/mat.m[2][1], s/mat.m[2][2], s/mat.m[2][3],
352  s/mat.m[3][0], s/mat.m[3][1], s/mat.m[3][2], s/mat.m[3][3]);
353  }

Member Data Documentation

float Matrix4x4::m[4][4]

Definition at line 433 of file IceMatrix4x4.h.

Referenced by Copy(), Matrix4x4(), operator*(), operator*=(), operator+(), operator+=(), operator-(), operator-=(), TransformPoint3x3(), and TransformPoint4x3().

The documentation for this class was generated from the following files: