Flutter Impeller
Public Member Functions | Static Public Member Functions | Public Attributes | List of all members
impeller::Matrix Struct Reference

A 4x4 matrix using column-major storage. More...

#include <matrix.h>

Public Member Functions

constexpr Matrix ()
 
constexpr Matrix (Scalar m0, Scalar m1, Scalar m2, Scalar m3, Scalar m4, Scalar m5, Scalar m6, Scalar m7, Scalar m8, Scalar m9, Scalar m10, Scalar m11, Scalar m12, Scalar m13, Scalar m14, Scalar m15)
 
 Matrix (const MatrixDecomposition &decomposition)
 
constexpr Matrix Basis () const
 The Matrix without its w components (without translation). More...
 
constexpr Matrix Translate (const Vector3 &t) const
 
constexpr Matrix Scale (const Vector3 &s) const
 
constexpr Matrix Multiply (const Matrix &o) const
 
constexpr Matrix Transpose () const
 
Matrix Invert () const
 
Scalar GetDeterminant () const
 
Scalar GetMaxBasisLength () const
 
Scalar GetMaxBasisLengthXY () const
 
constexpr Vector3 GetBasisX () const
 
constexpr Vector3 GetBasisY () const
 
constexpr Vector3 GetBasisZ () const
 
constexpr Vector3 GetScale () const
 
constexpr Scalar GetDirectionScale (Vector3 direction) const
 
constexpr bool IsAffine () const
 
constexpr bool HasPerspective () const
 
constexpr bool IsAligned (Scalar tolerance=0) const
 
constexpr bool IsIdentity () const
 
constexpr bool IsTranslationScaleOnly () const
 Returns true if the matrix has a scale-only basis and is non-projective. Note that an identity matrix meets this criteria. More...
 
std::optional< MatrixDecomposition > Decompose () const
 
constexpr bool operator== (const Matrix &m) const
 
constexpr bool operator!= (const Matrix &m) const
 
Matrix operator+ (const Vector3 &t) const
 
Matrix operator- (const Vector3 &t) const
 
Matrix operator* (const Matrix &m) const
 
Matrix operator+ (const Matrix &m) const
 
constexpr Vector4 operator* (const Vector4 &v) const
 
constexpr Vector3 operator* (const Vector3 &v) const
 
constexpr Point operator* (const Point &v) const
 
constexpr Vector4 TransformDirection (const Vector4 &v) const
 
constexpr Vector3 TransformDirection (const Vector3 &v) const
 
constexpr Vector2 TransformDirection (const Vector2 &v) const
 
constexpr Quad Transform (const Quad &quad) const
 

Static Public Member Functions

static constexpr Matrix MakeColumn (Scalar m0, Scalar m1, Scalar m2, Scalar m3, Scalar m4, Scalar m5, Scalar m6, Scalar m7, Scalar m8, Scalar m9, Scalar m10, Scalar m11, Scalar m12, Scalar m13, Scalar m14, Scalar m15)
 
static constexpr Matrix MakeRow (Scalar m0, Scalar m1, Scalar m2, Scalar m3, Scalar m4, Scalar m5, Scalar m6, Scalar m7, Scalar m8, Scalar m9, Scalar m10, Scalar m11, Scalar m12, Scalar m13, Scalar m14, Scalar m15)
 
static constexpr Matrix MakeTranslation (const Vector3 &t)
 
static constexpr Matrix MakeScale (const Vector3 &s)
 
static constexpr Matrix MakeScale (const Vector2 &s)
 
static constexpr Matrix MakeSkew (Scalar sx, Scalar sy)
 
static Matrix MakeRotation (Quaternion q)
 
static Matrix MakeRotation (Scalar radians, const Vector4 &r)
 
static Matrix MakeRotationX (Radians r)
 
static Matrix MakeRotationY (Radians r)
 
static Matrix MakeRotationZ (Radians r)
 
template<class T >
static constexpr Matrix MakeOrthographic (TSize< T > size)
 
static constexpr Matrix MakePerspective (Radians fov_y, Scalar aspect_ratio, Scalar z_near, Scalar z_far)
 
template<class T >
static constexpr Matrix MakePerspective (Radians fov_y, TSize< T > size, Scalar z_near, Scalar z_far)
 
static constexpr Matrix MakeLookAt (Vector3 position, Vector3 target, Vector3 up)
 

Public Attributes

union {
   Scalar   m [16]
 
   Scalar   e [4][4]
 
   Vector4   vec [4]
 
}; 
 

Detailed Description

A 4x4 matrix using column-major storage. 

        Utility methods that need to make assumptions about normalized
        device coordinates must use the following convention:
          * Left-handed coordinate system. Positive rotation is
            clockwise about axis of rotation.
          * Lower left corner is -1.0f, -1.0.
          * Upper right corner is  1.0f,  1.0.
          * Visible z-space is from 0.0 to 1.0.
            * This is NOT the same as OpenGL! Be careful.
          * NDC origin is at (0.0f, 0.0f, 0.5f).

Definition at line 37 of file matrix.h.

Constructor & Destructor Documentation

◆ Matrix() [1/3]

constexpr impeller::Matrix::Matrix ( )
inlineconstexpr

Constructs a default identity matrix.

Definition at line 47 of file matrix.h.

49  : vec{ Vector4(1.0f, 0.0f, 0.0f, 0.0f),
50  Vector4(0.0f, 1.0f, 0.0f, 0.0f),
51  Vector4(0.0f, 0.0f, 1.0f, 0.0f),
52  Vector4(0.0f, 0.0f, 0.0f, 1.0f)} {}

Referenced by Basis(), MakeColumn(), MakeRotation(), MakeRotationX(), MakeRotationY(), MakeRotationZ(), MakeRow(), MakeScale(), MakeSkew(), MakeTranslation(), Multiply(), operator+(), Scale(), and Translate().

◆ Matrix() [2/3]

constexpr impeller::Matrix::Matrix ( Scalar  m0,
Scalar  m1,
Scalar  m2,
Scalar  m3,
Scalar  m4,
Scalar  m5,
Scalar  m6,
Scalar  m7,
Scalar  m8,
Scalar  m9,
Scalar  m10,
Scalar  m11,
Scalar  m12,
Scalar  m13,
Scalar  m14,
Scalar  m15 
)
inlineconstexpr

Definition at line 56 of file matrix.h.

60  : vec{Vector4(m0, m1, m2, m3),
61  Vector4(m4, m5, m6, m7),
62  Vector4(m8, m9, m10, m11),
63  Vector4(m12, m13, m14, m15)} {}

◆ Matrix() [3/3]

impeller::Matrix::Matrix ( const MatrixDecomposition &  decomposition)
explicit

Definition at line 12 of file matrix.cc.

12  : Matrix() {
13  /*
14  * Apply perspective.
15  */
16  for (int i = 0; i < 4; i++) {
17  e[i][3] = d.perspective.e[i];
18  }
19 
20  /*
21  * Apply translation.
22  */
23  for (int i = 0; i < 3; i++) {
24  for (int j = 0; j < 3; j++) {
25  e[3][i] += d.translation.e[j] * e[j][i];
26  }
27  }
28 
29  /*
30  * Apply rotation.
31  */
32 
33  Matrix rotation;
34 
35  const auto x = -d.rotation.x;
36  const auto y = -d.rotation.y;
37  const auto z = -d.rotation.z;
38  const auto w = d.rotation.w;
39 
40  /*
41  * Construct a composite rotation matrix from the quaternion values.
42  */
43 
44  rotation.e[0][0] = 1.0 - 2.0 * (y * y + z * z);
45  rotation.e[0][1] = 2.0 * (x * y - z * w);
46  rotation.e[0][2] = 2.0 * (x * z + y * w);
47  rotation.e[1][0] = 2.0 * (x * y + z * w);
48  rotation.e[1][1] = 1.0 - 2.0 * (x * x + z * z);
49  rotation.e[1][2] = 2.0 * (y * z - x * w);
50  rotation.e[2][0] = 2.0 * (x * z - y * w);
51  rotation.e[2][1] = 2.0 * (y * z + x * w);
52  rotation.e[2][2] = 1.0 - 2.0 * (x * x + y * y);
53 
54  *this = *this * rotation;
55 
56  /*
57  * Apply shear.
58  */
59  Matrix shear;
60 
61  if (d.shear.e[2] != 0) {
62  shear.e[2][1] = d.shear.e[2];
63  *this = *this * shear;
64  }
65 
66  if (d.shear.e[1] != 0) {
67  shear.e[2][1] = 0.0;
68  shear.e[2][0] = d.shear.e[1];
69  *this = *this * shear;
70  }
71 
72  if (d.shear.e[0] != 0) {
73  shear.e[2][0] = 0.0;
74  shear.e[1][0] = d.shear.e[0];
75  *this = *this * shear;
76  }
77 
78  /*
79  * Apply scale.
80  */
81  for (int i = 0; i < 3; i++) {
82  for (int j = 0; j < 3; j++) {
83  e[i][j] *= d.scale.e[i];
84  }
85  }
86 }

References impeller::Shear::e, impeller::Vector3::e, e, impeller::Vector4::e, impeller::MatrixDecomposition::perspective, impeller::MatrixDecomposition::rotation, impeller::MatrixDecomposition::scale, impeller::MatrixDecomposition::shear, impeller::MatrixDecomposition::translation, impeller::Quaternion::w, impeller::Quaternion::x, impeller::Quaternion::y, and impeller::Quaternion::z.

Member Function Documentation

◆ Basis()

constexpr Matrix impeller::Matrix::Basis ( ) const
inlineconstexpr

The Matrix without its w components (without translation).

Definition at line 224 of file matrix.h.

224  {
225  // clang-format off
226  return Matrix(
227  m[0], m[1], m[2], 0.0f,
228  m[4], m[5], m[6], 0.0f,
229  m[8], m[9], m[10], 0.0f,
230  0.0f, 0.0f, 0.0f, 1.0
231  );
232  // clang-format on
233  }

References m, and Matrix().

Referenced by GetDirectionScale(), impeller::DirectionalMorphologyFilterContents::GetFilterCoverage(), impeller::GaussianBlurFilterContents::GetFilterCoverage(), impeller::DirectionalGaussianBlurFilterContents::GetFilterCoverage(), impeller::LocalMatrixFilterContents::GetFilterSourceCoverage(), impeller::GaussianBlurFilterContents::GetFilterSourceCoverage(), impeller::DirectionalGaussianBlurFilterContents::GetFilterSourceCoverage(), impeller::MatrixFilterContents::IsTranslationOnly(), and impeller::testing::TEST().

◆ Decompose()

std::optional< MatrixDecomposition > impeller::Matrix::Decompose ( ) const

Definition at line 217 of file matrix.cc.

217  {
218  /*
219  * Normalize the matrix.
220  */
221  Matrix self = *this;
222 
223  if (self.e[3][3] == 0) {
224  return std::nullopt;
225  }
226 
227  for (int i = 0; i < 4; i++) {
228  for (int j = 0; j < 4; j++) {
229  self.e[i][j] /= self.e[3][3];
230  }
231  }
232 
233  /*
234  * `perspectiveMatrix` is used to solve for perspective, but it also provides
235  * an easy way to test for singularity of the upper 3x3 component.
236  */
237  Matrix perpectiveMatrix = self;
238  for (int i = 0; i < 3; i++) {
239  perpectiveMatrix.e[i][3] = 0;
240  }
241 
242  perpectiveMatrix.e[3][3] = 1;
243 
244  if (perpectiveMatrix.GetDeterminant() == 0.0) {
245  return std::nullopt;
246  }
247 
248  MatrixDecomposition result;
249 
250  /*
251  * ==========================================================================
252  * First, isolate perspective.
253  * ==========================================================================
254  */
255  if (self.e[0][3] != 0.0 || self.e[1][3] != 0.0 || self.e[2][3] != 0.0) {
256  /*
257  * prhs is the right hand side of the equation.
258  */
259  const Vector4 rightHandSide(self.e[0][3], //
260  self.e[1][3], //
261  self.e[2][3], //
262  self.e[3][3]);
263 
264  /*
265  * Solve the equation by inverting `perspectiveMatrix` and multiplying
266  * prhs by the inverse.
267  */
268 
269  result.perspective = perpectiveMatrix.Invert().Transpose() * rightHandSide;
270 
271  /*
272  * Clear the perspective partition.
273  */
274  self.e[0][3] = self.e[1][3] = self.e[2][3] = 0;
275  self.e[3][3] = 1;
276  }
277 
278  /*
279  * ==========================================================================
280  * Next, the translation.
281  * ==========================================================================
282  */
283  result.translation = {self.e[3][0], self.e[3][1], self.e[3][2]};
284  self.e[3][0] = self.e[3][1] = self.e[3][2] = 0.0;
285 
286  /*
287  * ==========================================================================
288  * Next, the scale and shear.
289  * ==========================================================================
290  */
291  Vector3 row[3];
292  for (int i = 0; i < 3; i++) {
293  row[i].x = self.e[i][0];
294  row[i].y = self.e[i][1];
295  row[i].z = self.e[i][2];
296  }
297 
298  /*
299  * Compute X scale factor and normalize first row.
300  */
301  result.scale.x = row[0].Length();
302  row[0] = row[0].Normalize();
303 
304  /*
305  * Compute XY shear factor and make 2nd row orthogonal to 1st.
306  */
307  result.shear.xy = row[0].Dot(row[1]);
308  row[1] = Vector3::Combine(row[1], 1.0, row[0], -result.shear.xy);
309 
310  /*
311  * Compute Y scale and normalize 2nd row.
312  */
313  result.scale.y = row[1].Length();
314  row[1] = row[1].Normalize();
315  result.shear.xy /= result.scale.y;
316 
317  /*
318  * Compute XZ and YZ shears, orthogonalize 3rd row.
319  */
320  result.shear.xz = row[0].Dot(row[2]);
321  row[2] = Vector3::Combine(row[2], 1.0, row[0], -result.shear.xz);
322  result.shear.yz = row[1].Dot(row[2]);
323  row[2] = Vector3::Combine(row[2], 1.0, row[1], -result.shear.yz);
324 
325  /*
326  * Next, get Z scale and normalize 3rd row.
327  */
328  result.scale.z = row[2].Length();
329  row[2] = row[2].Normalize();
330 
331  result.shear.xz /= result.scale.z;
332  result.shear.yz /= result.scale.z;
333 
334  /*
335  * At this point, the matrix (in rows[]) is orthonormal.
336  * Check for a coordinate system flip. If the determinant
337  * is -1, then negate the matrix and the scaling factors.
338  */
339  if (row[0].Dot(row[1].Cross(row[2])) < 0) {
340  result.scale.x *= -1;
341  result.scale.y *= -1;
342  result.scale.z *= -1;
343 
344  for (int i = 0; i < 3; i++) {
345  row[i].x *= -1;
346  row[i].y *= -1;
347  row[i].z *= -1;
348  }
349  }
350 
351  /*
352  * ==========================================================================
353  * Finally, get the rotations out.
354  * ==========================================================================
355  */
356  result.rotation.x =
357  0.5 * sqrt(fmax(1.0 + row[0].x - row[1].y - row[2].z, 0.0));
358  result.rotation.y =
359  0.5 * sqrt(fmax(1.0 - row[0].x + row[1].y - row[2].z, 0.0));
360  result.rotation.z =
361  0.5 * sqrt(fmax(1.0 - row[0].x - row[1].y + row[2].z, 0.0));
362  result.rotation.w =
363  0.5 * sqrt(fmax(1.0 + row[0].x + row[1].y + row[2].z, 0.0));
364 
365  if (row[2].y > row[1].z) {
366  result.rotation.x = -result.rotation.x;
367  }
368  if (row[0].z > row[2].x) {
369  result.rotation.y = -result.rotation.y;
370  }
371  if (row[1].x > row[0].y) {
372  result.rotation.z = -result.rotation.z;
373  }
374 
375  return result;
376 }

References impeller::Vector3::Combine(), impeller::Vector3::Dot(), impeller::Vector3::e, e, impeller::Vector4::e, GetDeterminant(), Invert(), impeller::Vector3::Length(), impeller::Vector3::Normalize(), impeller::MatrixDecomposition::perspective, impeller::MatrixDecomposition::rotation, impeller::MatrixDecomposition::scale, impeller::MatrixDecomposition::shear, impeller::MatrixDecomposition::translation, Transpose(), impeller::Quaternion::w, impeller::Quaternion::x, impeller::Vector3::x, impeller::Shear::xy, impeller::Shear::xz, impeller::Quaternion::y, impeller::Vector3::y, impeller::Shear::yz, impeller::Quaternion::z, and impeller::Vector3::z.

Referenced by impeller::testing::TEST().

◆ GetBasisX()

constexpr Vector3 impeller::Matrix::GetBasisX ( ) const
inlineconstexpr

Definition at line 297 of file matrix.h.

297 { return Vector3(m[0], m[1], m[2]); }

References m.

Referenced by GetScale().

◆ GetBasisY()

constexpr Vector3 impeller::Matrix::GetBasisY ( ) const
inlineconstexpr

Definition at line 299 of file matrix.h.

299 { return Vector3(m[4], m[5], m[6]); }

References m.

Referenced by GetScale().

◆ GetBasisZ()

constexpr Vector3 impeller::Matrix::GetBasisZ ( ) const
inlineconstexpr

Definition at line 301 of file matrix.h.

301 { return Vector3(m[8], m[9], m[10]); }

References m.

Referenced by GetScale().

◆ GetDeterminant()

Scalar impeller::Matrix::GetDeterminant ( ) const

Definition at line 162 of file matrix.cc.

162  {
163  auto a00 = e[0][0];
164  auto a01 = e[0][1];
165  auto a02 = e[0][2];
166  auto a03 = e[0][3];
167  auto a10 = e[1][0];
168  auto a11 = e[1][1];
169  auto a12 = e[1][2];
170  auto a13 = e[1][3];
171  auto a20 = e[2][0];
172  auto a21 = e[2][1];
173  auto a22 = e[2][2];
174  auto a23 = e[2][3];
175  auto a30 = e[3][0];
176  auto a31 = e[3][1];
177  auto a32 = e[3][2];
178  auto a33 = e[3][3];
179 
180  auto b00 = a00 * a11 - a01 * a10;
181  auto b01 = a00 * a12 - a02 * a10;
182  auto b02 = a00 * a13 - a03 * a10;
183  auto b03 = a01 * a12 - a02 * a11;
184  auto b04 = a01 * a13 - a03 * a11;
185  auto b05 = a02 * a13 - a03 * a12;
186  auto b06 = a20 * a31 - a21 * a30;
187  auto b07 = a20 * a32 - a22 * a30;
188  auto b08 = a20 * a33 - a23 * a30;
189  auto b09 = a21 * a32 - a22 * a31;
190  auto b10 = a21 * a33 - a23 * a31;
191  auto b11 = a22 * a33 - a23 * a32;
192 
193  return b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
194 }

References e.

Referenced by impeller::LineGeometry::ComputePixelHalfWidth(), and Decompose().

◆ GetDirectionScale()

constexpr Scalar impeller::Matrix::GetDirectionScale ( Vector3  direction) const
inlineconstexpr

Definition at line 308 of file matrix.h.

308  {
309  return 1.0f / (this->Basis().Invert() * direction.Normalize()).Length() *
310  direction.Length();
311  }

References Basis(), Invert(), impeller::Vector3::Length(), and impeller::Vector3::Normalize().

Referenced by impeller::testing::TEST().

◆ GetMaxBasisLength()

Scalar impeller::Matrix::GetMaxBasisLength ( ) const

Definition at line 196 of file matrix.cc.

196  {
197  Scalar max = 0;
198  for (int i = 0; i < 3; i++) {
199  max = std::max(max,
200  e[i][0] * e[i][0] + e[i][1] * e[i][1] + e[i][2] * e[i][2]);
201  }
202  return std::sqrt(max);
203 }

References e.

Referenced by impeller::Tessellator::FilledCircle(), impeller::Tessellator::FilledEllipse(), impeller::Tessellator::FilledRoundRect(), impeller::Tessellator::RoundCapLine(), and impeller::Tessellator::StrokedCircle().

◆ GetMaxBasisLengthXY()

Scalar impeller::Matrix::GetMaxBasisLengthXY ( ) const

Definition at line 205 of file matrix.cc.

205  {
206  Scalar max = 0;
207  for (int i = 0; i < 3; i++) {
208  max = std::max(max, e[i][0] * e[i][0] + e[i][1] * e[i][1]);
209  }
210  return std::sqrt(max);
211 }

References e.

Referenced by impeller::Entity::DeriveTextScale().

◆ GetScale()

constexpr Vector3 impeller::Matrix::GetScale ( ) const
inlineconstexpr

Definition at line 303 of file matrix.h.

303  {
304  return Vector3(GetBasisX().Length(), GetBasisY().Length(),
305  GetBasisZ().Length());
306  }

References GetBasisX(), GetBasisY(), and GetBasisZ().

Referenced by impeller::DlDispatcher::drawShadow(), impeller::SceneContents::Render(), and impeller::testing::TEST_P().

◆ HasPerspective()

constexpr bool impeller::Matrix::HasPerspective ( ) const
inlineconstexpr

Definition at line 318 of file matrix.h.

318  {
319  return m[3] != 0 || m[7] != 0 || m[11] != 0 || m[15] != 1;
320  }

References m.

Referenced by impeller::DlDispatcher::drawDisplayList().

◆ Invert()

Matrix impeller::Matrix::Invert ( ) const

Definition at line 97 of file matrix.cc.

97  {
98  Matrix tmp{
99  m[5] * m[10] * m[15] - m[5] * m[11] * m[14] - m[9] * m[6] * m[15] +
100  m[9] * m[7] * m[14] + m[13] * m[6] * m[11] - m[13] * m[7] * m[10],
101 
102  -m[1] * m[10] * m[15] + m[1] * m[11] * m[14] + m[9] * m[2] * m[15] -
103  m[9] * m[3] * m[14] - m[13] * m[2] * m[11] + m[13] * m[3] * m[10],
104 
105  m[1] * m[6] * m[15] - m[1] * m[7] * m[14] - m[5] * m[2] * m[15] +
106  m[5] * m[3] * m[14] + m[13] * m[2] * m[7] - m[13] * m[3] * m[6],
107 
108  -m[1] * m[6] * m[11] + m[1] * m[7] * m[10] + m[5] * m[2] * m[11] -
109  m[5] * m[3] * m[10] - m[9] * m[2] * m[7] + m[9] * m[3] * m[6],
110 
111  -m[4] * m[10] * m[15] + m[4] * m[11] * m[14] + m[8] * m[6] * m[15] -
112  m[8] * m[7] * m[14] - m[12] * m[6] * m[11] + m[12] * m[7] * m[10],
113 
114  m[0] * m[10] * m[15] - m[0] * m[11] * m[14] - m[8] * m[2] * m[15] +
115  m[8] * m[3] * m[14] + m[12] * m[2] * m[11] - m[12] * m[3] * m[10],
116 
117  -m[0] * m[6] * m[15] + m[0] * m[7] * m[14] + m[4] * m[2] * m[15] -
118  m[4] * m[3] * m[14] - m[12] * m[2] * m[7] + m[12] * m[3] * m[6],
119 
120  m[0] * m[6] * m[11] - m[0] * m[7] * m[10] - m[4] * m[2] * m[11] +
121  m[4] * m[3] * m[10] + m[8] * m[2] * m[7] - m[8] * m[3] * m[6],
122 
123  m[4] * m[9] * m[15] - m[4] * m[11] * m[13] - m[8] * m[5] * m[15] +
124  m[8] * m[7] * m[13] + m[12] * m[5] * m[11] - m[12] * m[7] * m[9],
125 
126  -m[0] * m[9] * m[15] + m[0] * m[11] * m[13] + m[8] * m[1] * m[15] -
127  m[8] * m[3] * m[13] - m[12] * m[1] * m[11] + m[12] * m[3] * m[9],
128 
129  m[0] * m[5] * m[15] - m[0] * m[7] * m[13] - m[4] * m[1] * m[15] +
130  m[4] * m[3] * m[13] + m[12] * m[1] * m[7] - m[12] * m[3] * m[5],
131 
132  -m[0] * m[5] * m[11] + m[0] * m[7] * m[9] + m[4] * m[1] * m[11] -
133  m[4] * m[3] * m[9] - m[8] * m[1] * m[7] + m[8] * m[3] * m[5],
134 
135  -m[4] * m[9] * m[14] + m[4] * m[10] * m[13] + m[8] * m[5] * m[14] -
136  m[8] * m[6] * m[13] - m[12] * m[5] * m[10] + m[12] * m[6] * m[9],
137 
138  m[0] * m[9] * m[14] - m[0] * m[10] * m[13] - m[8] * m[1] * m[14] +
139  m[8] * m[2] * m[13] + m[12] * m[1] * m[10] - m[12] * m[2] * m[9],
140 
141  -m[0] * m[5] * m[14] + m[0] * m[6] * m[13] + m[4] * m[1] * m[14] -
142  m[4] * m[2] * m[13] - m[12] * m[1] * m[6] + m[12] * m[2] * m[5],
143 
144  m[0] * m[5] * m[10] - m[0] * m[6] * m[9] - m[4] * m[1] * m[10] +
145  m[4] * m[2] * m[9] + m[8] * m[1] * m[6] - m[8] * m[2] * m[5]};
146 
147  Scalar det =
148  m[0] * tmp.m[0] + m[1] * tmp.m[4] + m[2] * tmp.m[8] + m[3] * tmp.m[12];
149 
150  if (det == 0) {
151  return {};
152  }
153 
154  det = 1.0 / det;
155 
156  return {tmp.m[0] * det, tmp.m[1] * det, tmp.m[2] * det, tmp.m[3] * det,
157  tmp.m[4] * det, tmp.m[5] * det, tmp.m[6] * det, tmp.m[7] * det,
158  tmp.m[8] * det, tmp.m[9] * det, tmp.m[10] * det, tmp.m[11] * det,
159  tmp.m[12] * det, tmp.m[13] * det, tmp.m[14] * det, tmp.m[15] * det};
160 }

References m.

Referenced by Decompose(), GetDirectionScale(), impeller::MatrixFilterContents::GetFilterCoverage(), impeller::LocalMatrixFilterContents::GetFilterSourceCoverage(), impeller::Snapshot::GetUVTransform(), impeller::scene::Skin::MakeFromFlatbuffer(), impeller::ColorSourceContents::SetEffectTransform(), impeller::scene::Node::SetGlobalTransform(), impeller::testing::TEST(), and impeller::testing::TEST_P().

◆ IsAffine()

constexpr bool impeller::Matrix::IsAffine ( ) const
inlineconstexpr

Definition at line 313 of file matrix.h.

313  {
314  return (m[2] == 0 && m[3] == 0 && m[6] == 0 && m[7] == 0 && m[8] == 0 &&
315  m[9] == 0 && m[10] == 1 && m[11] == 0 && m[14] == 0 && m[15] == 1);
316  }

References m.

◆ IsAligned()

constexpr bool impeller::Matrix::IsAligned ( Scalar  tolerance = 0) const
inlineconstexpr

Definition at line 322 of file matrix.h.

322  {
323  int v[] = {!ScalarNearlyZero(m[0], tolerance), //
324  !ScalarNearlyZero(m[1], tolerance), //
325  !ScalarNearlyZero(m[2], tolerance), //
326  !ScalarNearlyZero(m[4], tolerance), //
327  !ScalarNearlyZero(m[5], tolerance), //
328  !ScalarNearlyZero(m[6], tolerance), //
329  !ScalarNearlyZero(m[8], tolerance), //
330  !ScalarNearlyZero(m[9], tolerance), //
331  !ScalarNearlyZero(m[10], tolerance)};
332  // Check if all three basis vectors are aligned to an axis.
333  if (v[0] + v[1] + v[2] != 1 || //
334  v[3] + v[4] + v[5] != 1 || //
335  v[6] + v[7] + v[8] != 1) {
336  return false;
337  }
338  // Ensure that none of the basis vectors overlap.
339  if (v[0] + v[3] + v[6] != 1 || //
340  v[1] + v[4] + v[7] != 1 || //
341  v[2] + v[5] + v[8] != 1) {
342  return false;
343  }
344  return true;
345  }

References m, and impeller::ScalarNearlyZero().

Referenced by impeller::testing::TEST().

◆ IsIdentity()

constexpr bool impeller::Matrix::IsIdentity ( ) const
inlineconstexpr

Definition at line 347 of file matrix.h.

347  {
348  return (
349  // clang-format off
350  m[0] == 1.0f && m[1] == 0.0f && m[2] == 0.0f && m[3] == 0.0f &&
351  m[4] == 0.0f && m[5] == 1.0f && m[6] == 0.0f && m[7] == 0.0f &&
352  m[8] == 0.0f && m[9] == 0.0f && m[10] == 1.0f && m[11] == 0.0f &&
353  m[12] == 0.0f && m[13] == 0.0f && m[14] == 0.0f && m[15] == 1.0f
354  // clang-format on
355  );
356  }

References m.

Referenced by impeller::MatrixFilterContents::IsTranslationOnly(), impeller::scene::importer::ProcessNode(), and impeller::testing::TEST_P().

◆ IsTranslationScaleOnly()

constexpr bool impeller::Matrix::IsTranslationScaleOnly ( ) const
inlineconstexpr

Returns true if the matrix has a scale-only basis and is non-projective. Note that an identity matrix meets this criteria.

Definition at line 360 of file matrix.h.

360  {
361  return (
362  // clang-format off
363  m[0] != 0.0 && m[1] == 0.0 && m[2] == 0.0 && m[3] == 0.0 &&
364  m[4] == 0.0 && m[5] != 0.0 && m[6] == 0.0 && m[7] == 0.0 &&
365  m[8] == 0.0 && m[9] == 0.0 && m[10] != 0.0 && m[11] == 0.0 &&
366  m[15] == 1.0
367  // clang-format on
368  );
369  }

References m.

Referenced by impeller::RectGeometry::CoversArea(), impeller::LineGeometry::CoversArea(), impeller::RoundRectGeometry::CoversArea(), impeller::FillPathGeometry::CoversArea(), and impeller::TextContents::Render().

◆ MakeColumn()

static constexpr Matrix impeller::Matrix::MakeColumn ( Scalar  m0,
Scalar  m1,
Scalar  m2,
Scalar  m3,
Scalar  m4,
Scalar  m5,
Scalar  m6,
Scalar  m7,
Scalar  m8,
Scalar  m9,
Scalar  m10,
Scalar  m11,
Scalar  m12,
Scalar  m13,
Scalar  m14,
Scalar  m15 
)
inlinestaticconstexpr

Definition at line 69 of file matrix.h.

73  {
74  return Matrix(m0, m1, m2, m3,
75  m4, m5, m6, m7,
76  m8, m9, m10, m11,
77  m12, m13, m14, m15);
78 
79  }

References Matrix().

Referenced by impeller::testing::TEST().

◆ MakeLookAt()

static constexpr Matrix impeller::Matrix::MakeLookAt ( Vector3  position,
Vector3  target,
Vector3  up 
)
inlinestaticconstexpr

Definition at line 494 of file matrix.h.

496  {
497  Vector3 forward = (target - position).Normalize();
498  Vector3 right = up.Cross(forward);
499  up = forward.Cross(right);
500 
501  // clang-format off
502  return {
503  right.x, up.x, forward.x, 0.0f,
504  right.y, up.y, forward.y, 0.0f,
505  right.z, up.z, forward.z, 0.0f,
506  -right.Dot(position), -up.Dot(position), -forward.Dot(position), 1.0f
507  };
508  // clang-format on
509  }

References impeller::Vector3::Cross(), impeller::Vector3::Dot(), impeller::Vector3::x, impeller::Vector3::y, and impeller::Vector3::z.

Referenced by impeller::scene::Camera::GetTransform(), and impeller::testing::TEST().

◆ MakeOrthographic()

template<class T >
static constexpr Matrix impeller::Matrix::MakeOrthographic ( TSize< T >  size)
inlinestaticconstexpr

Definition at line 459 of file matrix.h.

459  {
460  // Per assumptions about NDC documented above.
461  const auto scale =
462  MakeScale({2.0f / static_cast<Scalar>(size.width),
463  -2.0f / static_cast<Scalar>(size.height), 0.0f});
464  const auto translate = MakeTranslation({-1.0f, 1.0f, 0.5f});
465  return translate * scale;
466  }

References impeller::TSize< T >::height, MakeScale(), MakeTranslation(), and impeller::TSize< T >::width.

Referenced by ImGui_ImplImpeller_RenderDrawData(), impeller::testing::TEST(), and impeller::testing::TEST_P().

◆ MakePerspective() [1/2]

static constexpr Matrix impeller::Matrix::MakePerspective ( Radians  fov_y,
Scalar  aspect_ratio,
Scalar  z_near,
Scalar  z_far 
)
inlinestaticconstexpr

Definition at line 468 of file matrix.h.

471  {
472  Scalar height = std::tan(fov_y.radians * 0.5f);
473  Scalar width = height * aspect_ratio;
474 
475  // clang-format off
476  return {
477  1.0f / width, 0.0f, 0.0f, 0.0f,
478  0.0f, 1.0f / height, 0.0f, 0.0f,
479  0.0f, 0.0f, z_far / (z_far - z_near), 1.0f,
480  0.0f, 0.0f, -(z_far * z_near) / (z_far - z_near), 0.0f,
481  };
482  // clang-format on
483  }

References impeller::Radians::radians.

Referenced by impeller::scene::Camera::GetTransform(), MakePerspective(), impeller::testing::TEST(), and impeller::testing::TEST_P().

◆ MakePerspective() [2/2]

template<class T >
static constexpr Matrix impeller::Matrix::MakePerspective ( Radians  fov_y,
TSize< T >  size,
Scalar  z_near,
Scalar  z_far 
)
inlinestaticconstexpr

Definition at line 486 of file matrix.h.

489  {
490  return MakePerspective(fov_y, static_cast<Scalar>(size.width) / size.height,
491  z_near, z_far);
492  }

References impeller::TSize< T >::height, MakePerspective(), and impeller::TSize< T >::width.

◆ MakeRotation() [1/2]

static Matrix impeller::Matrix::MakeRotation ( Quaternion  q)
inlinestatic

Definition at line 126 of file matrix.h.

126  {
127  // clang-format off
128  return Matrix(
129  1.0f - 2.0f * q.y * q.y - 2.0f * q.z * q.z,
130  2.0f * q.x * q.y + 2.0f * q.z * q.w,
131  2.0f * q.x * q.z - 2.0f * q.y * q.w,
132  0.0f,
133 
134  2.0f * q.x * q.y - 2.0f * q.z * q.w,
135  1.0f - 2.0f * q.x * q.x - 2.0f * q.z * q.z,
136  2.0f * q.y * q.z + 2.0f * q.x * q.w,
137  0.0f,
138 
139  2.0f * q.x * q.z + 2.0f * q.y * q.w,
140  2.0f * q.y * q.z - 2.0f * q.x * q.w,
141  1.0f - 2.0f * q.x * q.x - 2.0f * q.y * q.y,
142  0.0f,
143 
144  0.0f,
145  0.0f,
146  0.0f,
147  1.0f);
148  // clang-format on
149  }

References Matrix(), impeller::Quaternion::w, impeller::Quaternion::x, impeller::Quaternion::y, and impeller::Quaternion::z.

Referenced by impeller::scene::importer::ProcessNode(), impeller::testing::TEST(), and impeller::scene::testing::TEST_P().

◆ MakeRotation() [2/2]

static Matrix impeller::Matrix::MakeRotation ( Scalar  radians,
const Vector4 &  r 
)
inlinestatic

Definition at line 151 of file matrix.h.

151  {
152  const Vector4 v = r.Normalize();
153 
154  const Scalar cosine = cos(radians);
155  const Scalar cosp = 1.0f - cosine;
156  const Scalar sine = sin(radians);
157 
158  // clang-format off
159  return Matrix(
160  cosine + cosp * v.x * v.x,
161  cosp * v.x * v.y + v.z * sine,
162  cosp * v.x * v.z - v.y * sine,
163  0.0f,
164 
165  cosp * v.x * v.y - v.z * sine,
166  cosine + cosp * v.y * v.y,
167  cosp * v.y * v.z + v.x * sine,
168  0.0f,
169 
170  cosp * v.x * v.z + v.y * sine,
171  cosp * v.y * v.z - v.x * sine,
172  cosine + cosp * v.z * v.z,
173  0.0f,
174 
175  0.0f,
176  0.0f,
177  0.0f,
178  1.0f);
179  // clang-format on
180  }

References Matrix(), impeller::Vector4::Normalize(), impeller::Vector4::x, impeller::Vector4::y, and impeller::Vector4::z.

◆ MakeRotationX()

static Matrix impeller::Matrix::MakeRotationX ( Radians  r)
inlinestatic

Definition at line 182 of file matrix.h.

182  {
183  const Scalar cosine = cos(r.radians);
184  const Scalar sine = sin(r.radians);
185  // clang-format off
186  return Matrix(
187  1.0f, 0.0f, 0.0f, 0.0f,
188  0.0f, cosine, sine, 0.0f,
189  0.0f, -sine, cosine, 0.0f,
190  0.0f, 0.0f, 0.0f, 1.0f
191  );
192  // clang-format on
193  }

References Matrix(), and impeller::Radians::radians.

Referenced by impeller::testing::TEST(), and impeller::testing::TEST_P().

◆ MakeRotationY()

static Matrix impeller::Matrix::MakeRotationY ( Radians  r)
inlinestatic

Definition at line 195 of file matrix.h.

195  {
196  const Scalar cosine = cos(r.radians);
197  const Scalar sine = sin(r.radians);
198 
199  // clang-format off
200  return Matrix(
201  cosine, 0.0f, -sine, 0.0f,
202  0.0f, 1.0f, 0.0f, 0.0f,
203  sine, 0.0f, cosine, 0.0f,
204  0.0f, 0.0f, 0.0f, 1.0f
205  );
206  // clang-format on
207  }

References Matrix(), and impeller::Radians::radians.

Referenced by impeller::testing::TEST(), and impeller::testing::TEST_P().

◆ MakeRotationZ()

static Matrix impeller::Matrix::MakeRotationZ ( Radians  r)
inlinestatic

Definition at line 209 of file matrix.h.

209  {
210  const Scalar cosine = cos(r.radians);
211  const Scalar sine = sin(r.radians);
212 
213  // clang-format off
214  return Matrix (
215  cosine, sine, 0.0f, 0.0f,
216  -sine, cosine, 0.0f, 0.0f,
217  0.0f, 0.0f, 1.0f, 0.0f,
218  0.0f, 0.0f, 0.0f, 1.0
219  );
220  // clang-format on
221  }

References Matrix(), and impeller::Radians::radians.

Referenced by impeller::Canvas::Rotate(), impeller::testing::TEST(), and impeller::testing::TEST_P().

◆ MakeRow()

static constexpr Matrix impeller::Matrix::MakeRow ( Scalar  m0,
Scalar  m1,
Scalar  m2,
Scalar  m3,
Scalar  m4,
Scalar  m5,
Scalar  m6,
Scalar  m7,
Scalar  m8,
Scalar  m9,
Scalar  m10,
Scalar  m11,
Scalar  m12,
Scalar  m13,
Scalar  m14,
Scalar  m15 
)
inlinestaticconstexpr

Definition at line 83 of file matrix.h.

87  {
88  return Matrix(m0, m4, m8, m12,
89  m1, m5, m9, m13,
90  m2, m6, m10, m14,
91  m3, m7, m11, m15);
92  }

References Matrix().

Referenced by impeller::testing::TEST().

◆ MakeScale() [1/2]

static constexpr Matrix impeller::Matrix::MakeScale ( const Vector2 &  s)
inlinestaticconstexpr

Definition at line 113 of file matrix.h.

113  {
114  return MakeScale(Vector3(s.x, s.y, 1.0f));
115  }

References MakeScale(), impeller::TPoint< T >::x, and impeller::TPoint< T >::y.

◆ MakeScale() [2/2]

static constexpr Matrix impeller::Matrix::MakeScale ( const Vector3 &  s)
inlinestaticconstexpr

Definition at line 104 of file matrix.h.

104  {
105  // clang-format off
106  return Matrix(s.x, 0.0f, 0.0f, 0.0f,
107  0.0f, s.y, 0.0f, 0.0f,
108  0.0f, 0.0f, s.z, 0.0f,
109  0.0f, 0.0f, 0.0f, 1.0f);
110  // clang-format on
111  }

References Matrix(), impeller::Vector3::x, impeller::Vector3::y, and impeller::Vector3::z.

Referenced by impeller::GaussianBlurFilterContents::CalculateUVs(), impeller::TRect< Scalar >::GetNormalizingTransform(), impeller::Snapshot::GetUVTransform(), MakeOrthographic(), MakeScale(), impeller::scene::importer::ParseGLTF(), impeller::scene::importer::ProcessNode(), impeller::SceneContents::Render(), impeller::TextureContents::RenderToSnapshot(), impeller::TiledTextureContents::RenderToSnapshot(), impeller::Canvas::Scale(), impeller::testing::TEST(), impeller::scene::testing::TEST_P(), and impeller::testing::TEST_P().

◆ MakeSkew()

static constexpr Matrix impeller::Matrix::MakeSkew ( Scalar  sx,
Scalar  sy 
)
inlinestaticconstexpr

Definition at line 117 of file matrix.h.

117  {
118  // clang-format off
119  return Matrix(1.0f, sy , 0.0f, 0.0f,
120  sx , 1.0f, 0.0f, 0.0f,
121  0.0f, 0.0f, 1.0f, 0.0f,
122  0.0f, 0.0f, 0.0f, 1.0f);
123  // clang-format on
124  }

References Matrix().

Referenced by impeller::Canvas::Skew(), impeller::testing::TEST(), and impeller::testing::TEST_P().

◆ MakeTranslation()

static constexpr Matrix impeller::Matrix::MakeTranslation ( const Vector3 &  t)
inlinestaticconstexpr

Definition at line 95 of file matrix.h.

95  {
96  // clang-format off
97  return Matrix(1.0f, 0.0f, 0.0f, 0.0f,
98  0.0f, 1.0f, 0.0f, 0.0f,
99  0.0f, 0.0f, 1.0f, 0.0f,
100  t.x, t.y, t.z, 1.0f);
101  // clang-format on
102  }

References Matrix(), impeller::Vector3::x, impeller::Vector3::y, and impeller::Vector3::z.

Referenced by impeller::AdvancedBlend(), impeller::DlDispatcher::drawShadow(), impeller::Canvas::DrawTextFrame(), impeller::AtlasContents::GenerateSubAtlas(), MakeOrthographic(), impeller::PipelineBlend(), impeller::scene::importer::ProcessNode(), impeller::SolidRRectBlurContents::Render(), impeller::TiledTextureContents::RenderToSnapshot(), impeller::TextureContents::RenderToSnapshot(), impeller::Contents::RenderToSnapshot(), impeller::Picture::Snapshot(), impeller::testing::TEST(), impeller::testing::TEST_P(), impeller::scene::testing::TEST_P(), and impeller::Canvas::Translate().

◆ Multiply()

constexpr Matrix impeller::Matrix::Multiply ( const Matrix &  o) const
inlineconstexpr

Definition at line 256 of file matrix.h.

256  {
257  // clang-format off
258  return Matrix(
259  m[0] * o.m[0] + m[4] * o.m[1] + m[8] * o.m[2] + m[12] * o.m[3],
260  m[1] * o.m[0] + m[5] * o.m[1] + m[9] * o.m[2] + m[13] * o.m[3],
261  m[2] * o.m[0] + m[6] * o.m[1] + m[10] * o.m[2] + m[14] * o.m[3],
262  m[3] * o.m[0] + m[7] * o.m[1] + m[11] * o.m[2] + m[15] * o.m[3],
263  m[0] * o.m[4] + m[4] * o.m[5] + m[8] * o.m[6] + m[12] * o.m[7],
264  m[1] * o.m[4] + m[5] * o.m[5] + m[9] * o.m[6] + m[13] * o.m[7],
265  m[2] * o.m[4] + m[6] * o.m[5] + m[10] * o.m[6] + m[14] * o.m[7],
266  m[3] * o.m[4] + m[7] * o.m[5] + m[11] * o.m[6] + m[15] * o.m[7],
267  m[0] * o.m[8] + m[4] * o.m[9] + m[8] * o.m[10] + m[12] * o.m[11],
268  m[1] * o.m[8] + m[5] * o.m[9] + m[9] * o.m[10] + m[13] * o.m[11],
269  m[2] * o.m[8] + m[6] * o.m[9] + m[10] * o.m[10] + m[14] * o.m[11],
270  m[3] * o.m[8] + m[7] * o.m[9] + m[11] * o.m[10] + m[15] * o.m[11],
271  m[0] * o.m[12] + m[4] * o.m[13] + m[8] * o.m[14] + m[12] * o.m[15],
272  m[1] * o.m[12] + m[5] * o.m[13] + m[9] * o.m[14] + m[13] * o.m[15],
273  m[2] * o.m[12] + m[6] * o.m[13] + m[10] * o.m[14] + m[14] * o.m[15],
274  m[3] * o.m[12] + m[7] * o.m[13] + m[11] * o.m[14] + m[15] * o.m[15]);
275  // clang-format on
276  }

References m, and Matrix().

Referenced by operator*().

◆ operator!=()

constexpr bool impeller::Matrix::operator!= ( const Matrix &  m) const
inlineconstexpr

Definition at line 382 of file matrix.h.

382  {
383  // clang-format off
384  return vec[0] != m.vec[0]
385  || vec[1] != m.vec[1]
386  || vec[2] != m.vec[2]
387  || vec[3] != m.vec[3];
388  // clang-format on
389  }

References m, and vec.

◆ operator*() [1/4]

Matrix impeller::Matrix::operator* ( const Matrix &  m) const
inline

Definition at line 395 of file matrix.h.

395 { return Multiply(m); }

References m, and Multiply().

◆ operator*() [2/4]

constexpr Point impeller::Matrix::operator* ( const Point &  v) const
inlineconstexpr

Definition at line 420 of file matrix.h.

420  {
421  Scalar w = v.x * m[3] + v.y * m[7] + m[15];
422  Point result(v.x * m[0] + v.y * m[4] + m[12],
423  v.x * m[1] + v.y * m[5] + m[13]);
424 
425  // This is Skia's behavior, but it may be reasonable to allow UB for the w=0
426  // case.
427  if (w) {
428  w = 1 / w;
429  }
430  return result * w;
431  }

References m, impeller::TPoint< T >::x, and impeller::TPoint< T >::y.

◆ operator*() [3/4]

constexpr Vector3 impeller::Matrix::operator* ( const Vector3 &  v) const
inlineconstexpr

Definition at line 406 of file matrix.h.

406  {
407  Scalar w = v.x * m[3] + v.y * m[7] + v.z * m[11] + m[15];
408  Vector3 result(v.x * m[0] + v.y * m[4] + v.z * m[8] + m[12],
409  v.x * m[1] + v.y * m[5] + v.z * m[9] + m[13],
410  v.x * m[2] + v.y * m[6] + v.z * m[10] + m[14]);
411 
412  // This is Skia's behavior, but it may be reasonable to allow UB for the w=0
413  // case.
414  if (w) {
415  w = 1 / w;
416  }
417  return result * w;
418  }

References m, impeller::Vector3::x, impeller::Vector3::y, and impeller::Vector3::z.

◆ operator*() [4/4]

constexpr Vector4 impeller::Matrix::operator* ( const Vector4 &  v) const
inlineconstexpr

Definition at line 399 of file matrix.h.

399  {
400  return Vector4(v.x * m[0] + v.y * m[4] + v.z * m[8] + v.w * m[12],
401  v.x * m[1] + v.y * m[5] + v.z * m[9] + v.w * m[13],
402  v.x * m[2] + v.y * m[6] + v.z * m[10] + v.w * m[14],
403  v.x * m[3] + v.y * m[7] + v.z * m[11] + v.w * m[15]);
404  }

References m, impeller::Vector4::w, impeller::Vector4::x, impeller::Vector4::y, and impeller::Vector4::z.

◆ operator+() [1/2]

Matrix impeller::Matrix::operator+ ( const Matrix &  m) const

Definition at line 88 of file matrix.cc.

88  {
89  return Matrix(
90  m[0] + o.m[0], m[1] + o.m[1], m[2] + o.m[2], m[3] + o.m[3], //
91  m[4] + o.m[4], m[5] + o.m[5], m[6] + o.m[6], m[7] + o.m[7], //
92  m[8] + o.m[8], m[9] + o.m[9], m[10] + o.m[10], m[11] + o.m[11], //
93  m[12] + o.m[12], m[13] + o.m[13], m[14] + o.m[14], m[15] + o.m[15] //
94  );
95 }

References m, and Matrix().

◆ operator+() [2/2]

Matrix impeller::Matrix::operator+ ( const Vector3 &  t) const
inline

Definition at line 391 of file matrix.h.

391 { return Translate(t); }

References Translate().

◆ operator-()

Matrix impeller::Matrix::operator- ( const Vector3 &  t) const
inline

Definition at line 393 of file matrix.h.

393 { return Translate(-t); }

References Translate().

◆ operator==()

constexpr bool impeller::Matrix::operator== ( const Matrix &  m) const
inlineconstexpr

Definition at line 373 of file matrix.h.

373  {
374  // clang-format off
375  return vec[0] == m.vec[0]
376  && vec[1] == m.vec[1]
377  && vec[2] == m.vec[2]
378  && vec[3] == m.vec[3];
379  // clang-format on
380  }

References m, and vec.

◆ Scale()

constexpr Matrix impeller::Matrix::Scale ( const Vector3 &  s) const
inlineconstexpr

Definition at line 247 of file matrix.h.

247  {
248  // clang-format off
249  return Matrix(m[0] * s.x, m[1] * s.x, m[2] * s.x, m[3] * s.x,
250  m[4] * s.y, m[5] * s.y, m[6] * s.y, m[7] * s.y,
251  m[8] * s.z, m[9] * s.z, m[10] * s.z, m[11] * s.z,
252  m[12] , m[13] , m[14] , m[15] );
253  // clang-format on
254  }

References m, Matrix(), impeller::Vector3::x, impeller::Vector3::y, and impeller::Vector3::z.

◆ Transform()

constexpr Quad impeller::Matrix::Transform ( const Quad &  quad) const
inlineconstexpr

Definition at line 449 of file matrix.h.

449  {
450  return {
451  *this * quad[0],
452  *this * quad[1],
453  *this * quad[2],
454  *this * quad[3],
455  };
456  }

Referenced by impeller::GaussianBlurFilterContents::CalculateUVs().

◆ TransformDirection() [1/3]

constexpr Vector2 impeller::Matrix::TransformDirection ( const Vector2 &  v) const
inlineconstexpr

Definition at line 445 of file matrix.h.

445  {
446  return Vector2(v.x * m[0] + v.y * m[4], v.x * m[1] + v.y * m[5]);
447  }

References m, impeller::TPoint< T >::x, and impeller::TPoint< T >::y.

◆ TransformDirection() [2/3]

constexpr Vector3 impeller::Matrix::TransformDirection ( const Vector3 &  v) const
inlineconstexpr

Definition at line 439 of file matrix.h.

439  {
440  return Vector3(v.x * m[0] + v.y * m[4] + v.z * m[8],
441  v.x * m[1] + v.y * m[5] + v.z * m[9],
442  v.x * m[2] + v.y * m[6] + v.z * m[10]);
443  }

References m, impeller::Vector3::x, impeller::Vector3::y, and impeller::Vector3::z.

◆ TransformDirection() [3/3]

constexpr Vector4 impeller::Matrix::TransformDirection ( const Vector4 &  v) const
inlineconstexpr

Definition at line 433 of file matrix.h.

433  {
434  return Vector4(v.x * m[0] + v.y * m[4] + v.z * m[8],
435  v.x * m[1] + v.y * m[5] + v.z * m[9],
436  v.x * m[2] + v.y * m[6] + v.z * m[10], v.w);
437  }

References m, impeller::Vector4::w, impeller::Vector4::x, impeller::Vector4::y, and impeller::Vector4::z.

Referenced by impeller::BorderMaskBlurFilterContents::GetFilterCoverage(), impeller::DirectionalMorphologyFilterContents::GetFilterCoverage(), impeller::DirectionalGaussianBlurFilterContents::GetFilterCoverage(), impeller::BorderMaskBlurFilterContents::GetFilterSourceCoverage(), impeller::DirectionalMorphologyFilterContents::GetFilterSourceCoverage(), and impeller::DirectionalGaussianBlurFilterContents::GetFilterSourceCoverage().

◆ Translate()

constexpr Matrix impeller::Matrix::Translate ( const Vector3 &  t) const
inlineconstexpr

Definition at line 235 of file matrix.h.

235  {
236  // clang-format off
237  return Matrix(m[0], m[1], m[2], m[3],
238  m[4], m[5], m[6], m[7],
239  m[8], m[9], m[10], m[11],
240  m[0] * t.x + m[4] * t.y + m[8] * t.z + m[12],
241  m[1] * t.x + m[5] * t.y + m[9] * t.z + m[13],
242  m[2] * t.x + m[6] * t.y + m[10] * t.z + m[14],
243  m[15]);
244  // clang-format on
245  }

References m, Matrix(), impeller::Vector3::x, impeller::Vector3::y, and impeller::Vector3::z.

Referenced by ImGui_ImplImpeller_RenderDrawData(), operator+(), and operator-().

◆ Transpose()

constexpr Matrix impeller::Matrix::Transpose ( ) const
inlineconstexpr

Definition at line 278 of file matrix.h.

278  {
279  // clang-format off
280  return {
281  m[0], m[4], m[8], m[12],
282  m[1], m[5], m[9], m[13],
283  m[2], m[6], m[10], m[14],
284  m[3], m[7], m[11], m[15],
285  };
286  // clang-format on
287  }

References m.

Referenced by Decompose().

Member Data Documentation

◆ @13

union { ... }

◆ e

Scalar impeller::Matrix::e[4][4]

Definition at line 40 of file matrix.h.

Referenced by Decompose(), GetDeterminant(), GetMaxBasisLength(), GetMaxBasisLengthXY(), Matrix(), and std::operator<<().

◆ m

Scalar impeller::Matrix::m[16]

Definition at line 39 of file matrix.h.

Referenced by Basis(), GetBasisX(), GetBasisY(), GetBasisZ(), HasPerspective(), Invert(), IsAffine(), IsAligned(), IsIdentity(), IsTranslationScaleOnly(), MatrixNear(), Multiply(), operator!=(), operator*(), operator+(), operator==(), Scale(), impeller::scene::importer::ToFBMatrix(), impeller::scene::importer::ToFBMatrixUniquePtr(), impeller::scene::importer::ToMatrix(), TransformDirection(), Translate(), and Transpose().

◆ vec

Vector4 impeller::Matrix::vec[4]

Definition at line 41 of file matrix.h.

Referenced by operator!=(), operator==(), and impeller::testing::TEST_P().

The documentation for this struct was generated from the following files:
impeller::Matrix::m
Scalar m[16]
Definition: matrix.h:39
impeller::Matrix::Matrix
constexpr Matrix()
Definition: matrix.h:47
impeller::Scalar
float Scalar
Definition: scalar.h:18
impeller::Vector3::Combine
static constexpr Vector3 Combine(const Vector3 &a, Scalar aScale, const Vector3 &b, Scalar bScale)
Definition: vector.h:192
impeller::Vector2
Point Vector2
Definition: point.h:312
impeller::Matrix::MakeTranslation
static constexpr Matrix MakeTranslation(const Vector3 &t)
Definition: matrix.h:95
impeller::Matrix::e
Scalar e[4][4]
Definition: matrix.h:40
impeller::Matrix::vec
Vector4 vec[4]
Definition: matrix.h:41
impeller::Matrix::MakePerspective
static constexpr Matrix MakePerspective(Radians fov_y, Scalar aspect_ratio, Scalar z_near, Scalar z_far)
Definition: matrix.h:468
impeller::Matrix::Basis
constexpr Matrix Basis() const
The Matrix without its w components (without translation).
Definition: matrix.h:224
impeller::Point
TPoint< Scalar > Point
Definition: point.h:308
impeller::Matrix::Multiply
constexpr Matrix Multiply(const Matrix &o) const
Definition: matrix.h:256
impeller::Matrix::Translate
constexpr Matrix Translate(const Vector3 &t) const
Definition: matrix.h:235
impeller::ScalarNearlyZero
constexpr bool ScalarNearlyZero(Scalar x, Scalar tolerance=kEhCloseEnough)
Definition: scalar.h:25
impeller::Matrix::GetBasisZ
constexpr Vector3 GetBasisZ() const
Definition: matrix.h:301
impeller::Matrix::Invert
Matrix Invert() const
Definition: matrix.cc:97
impeller::Matrix::GetBasisY
constexpr Vector3 GetBasisY() const
Definition: matrix.h:299
impeller::Matrix::MakeScale
static constexpr Matrix MakeScale(const Vector3 &s)
Definition: matrix.h:104
impeller::Matrix::GetBasisX
constexpr Vector3 GetBasisX() const
Definition: matrix.h:297