31 #ifndef OPENVDB_MATH_COORD_HAS_BEEN_INCLUDED 32 #define OPENVDB_MATH_COORD_HAS_BEEN_INCLUDED 39 namespace tbb {
class split; }
57 typedef std::numeric_limits<ValueType>
Limits;
60 explicit Coord(Int32 xyz): mVec{{xyz, xyz, xyz}} {}
61 Coord(Int32 x, Int32 y, Int32 z): mVec{{x, y, z}} {}
62 explicit Coord(
const Vec3i& v): mVec{{v[0], v[1], v[2]}} {}
64 explicit Coord(
const Int32* v): mVec{{v[0], v[1], v[2]}} {}
117 return Coord(mVec[0] + dx, mVec[1] + dy, mVec[2] + dz);
137 return Coord(mVec[0] + rhs[0], mVec[1] + rhs[1], mVec[2] + rhs[2]);
141 return Coord(mVec[0] - rhs[0], mVec[1] - rhs[1], mVec[2] - rhs[2]);
145 Coord operator>> (
size_t n)
const {
return Coord(mVec[0]>>n, mVec[1]>>n, mVec[2]>>n); }
149 Coord operator& (Int32 n)
const {
return Coord(mVec[0] & n, mVec[1] & n, mVec[2] & n); }
150 Coord operator| (Int32 n)
const {
return Coord(mVec[0] | n, mVec[1] | n, mVec[2] | n); }
151 Coord& operator&= (Int32 n) { mVec[0]&=n; mVec[1]&=n; mVec[2]&=n;
return *
this; }
152 Coord& operator|= (Int32 n) { mVec[0]|=n; mVec[1]|=n; mVec[2]|=n;
return *
this; }
154 Int32
x()
const {
return mVec[0]; }
155 Int32
y()
const {
return mVec[1]; }
156 Int32
z()
const {
return mVec[2]; }
157 Int32
operator[](
size_t i)
const { assert(i < 3);
return mVec[i]; }
158 Int32&
x() {
return mVec[0]; }
159 Int32&
y() {
return mVec[1]; }
160 Int32&
z() {
return mVec[2]; }
161 Int32&
operator[](
size_t i) { assert(i < 3);
return mVec[i]; }
163 const Int32*
data()
const {
return mVec.data(); }
164 Int32*
data() {
return mVec.data(); }
171 void asXYZ(Int32& x, Int32& y, Int32& z)
const { x = mVec[0]; y = mVec[1]; z = mVec[2]; }
175 return (mVec[0] == rhs.mVec[0] && mVec[1] == rhs.mVec[1] && mVec[2] == rhs.mVec[2]);
182 return this->x() < rhs.
x() ? true : this->x() > rhs.
x() ? false
183 : this->y() < rhs.
y() ? true : this->y() > rhs.
y() ? false
184 : this->z() < rhs.
z() ? true :
false;
189 return this->x() < rhs.
x() ? true : this->x() > rhs.
x() ? false
190 : this->y() < rhs.
y() ? true : this->y() > rhs.
y() ? false
191 : this->z() <=rhs.
z() ? true :
false;
201 mVec[0] =
std::min(mVec[0], other.mVec[0]);
202 mVec[1] =
std::min(mVec[1], other.mVec[1]);
203 mVec[2] =
std::min(mVec[2], other.mVec[2]);
209 mVec[0] =
std::max(mVec[0], other.mVec[0]);
210 mVec[1] =
std::max(mVec[1], other.mVec[1]);
211 mVec[2] =
std::max(mVec[2], other.mVec[2]);
234 return (a[0] < b[0] || a[1] < b[1] || a[2] < b[2]);
243 void read(std::istream& is) { is.read(reinterpret_cast<char*>(mVec.data()),
sizeof(mVec)); }
246 os.write(reinterpret_cast<const char*>(mVec.data()),
sizeof(mVec));
250 std::array<Int32, 3> mVec;
285 ZYX ? this->next<2,1,0>() : this->next<0,1,2>();
289 operator bool()
const {
290 return ZYX ? mPos[0] <= mMax[0] : mPos[2] <= mMax[2];
295 template<
size_t a,
size_t b,
size_t c>
297 if ( mPos[a] < mMax[a] ) {
299 }
else if ( mPos[b] < mMax[b] ) {
302 }
else if ( mPos[c] <= mMax[c] ) {
308 Coord mPos, mMin, mMax;
316 CoordBBox(ValueType x_min, ValueType y_min, ValueType z_min,
317 ValueType x_max, ValueType y_max, ValueType z_max)
318 : mMin(x_min, y_min, z_min), mMax(x_max, y_max, z_max)
325 assert(this->is_divisible());
326 const size_t n = this->maxExtent();
327 mMax[n] = (mMin[n] + mMax[n]) >> 1;
328 other.mMin[n] = mMax[n] + 1;
357 bool empty()
const {
return (mMin[0] > mMax[0] || mMin[1] > mMax[1] || mMin[2] > mMax[2]); }
359 operator bool()
const {
return !this->empty(); }
377 const Coord d = this->dim();
381 bool is_divisible()
const {
return mMin[0]<mMax[0] && mMin[1]<mMax[1] && mMin[2]<mMax[2]; }
384 size_t minExtent()
const {
return this->dim().minIndex(); }
387 size_t maxExtent()
const {
return this->dim().maxIndex(); }
392 return !(Coord::lessThan(xyz,mMin) || Coord::lessThan(mMax,xyz));
398 return !(Coord::lessThan(b.mMin,mMin) || Coord::lessThan(mMax,b.mMax));
404 return !(Coord::lessThan(mMax,b.mMin) || Coord::lessThan(b.mMax,mMin));
410 mMin.offset(-padding);
411 mMax.offset( padding);
417 return CoordBBox(mMin.offsetBy(-padding),mMax.offsetBy(padding));
423 mMin.minComponent(xyz);
424 mMax.maxComponent(xyz);
430 mMin.minComponent(bbox.
min());
431 mMax.maxComponent(bbox.
max());
436 mMin.maxComponent(bbox.
min());
437 mMax.minComponent(bbox.
max());
443 mMin.minComponent(min);
444 mMax.maxComponent(min.
offsetBy(dim-1));
455 assert(p !=
nullptr);
456 p->
reset(mMin.x(), mMin.y(), mMin.z()); ++p;
457 p->
reset(mMin.x(), mMin.y(), mMax.z()); ++p;
458 p->
reset(mMin.x(), mMax.y(), mMin.z()); ++p;
459 p->
reset(mMin.x(), mMax.y(), mMax.z()); ++p;
460 p->
reset(mMax.x(), mMin.y(), mMin.z()); ++p;
461 p->
reset(mMax.x(), mMin.y(), mMax.z()); ++p;
462 p->
reset(mMax.x(), mMax.y(), mMin.z()); ++p;
463 p->
reset(mMax.x(), mMax.y(), mMax.z());
479 void read(std::istream& is) { mMin.read(is); mMax.read(is); }
481 void write(std::ostream& os)
const { mMin.write(os); mMax.write(os); }
493 os << xyz.
asVec3i();
return os;
524 template <
typename T>
536 template <
typename T>
551 os << b.
min() <<
" -> " << b.
max();
559 #endif // OPENVDB_MATH_COORD_HAS_BEEN_INCLUDED bool operator!=(const Coord &rhs) const
Definition: Coord.h:177
Vec3< float > Vec3s
Definition: Vec3.h:707
int Floor(float x)
Return the floor of x.
Definition: Math.h:814
Coord(Int32 x, Int32 y, Int32 z)
Definition: Coord.h:61
Coord & setZ(Int32 z)
Definition: Coord.h:105
uint32_t Index32
Definition: Types.h:55
Coord operator+(const Coord &rhs) const
Definition: Coord.h:135
math::Vec3< Index32 > Vec3I
Definition: Types.h:76
Coord()
Definition: Coord.h:59
Coord(const Vec3i &v)
Definition: Coord.h:62
Coord::ValueType ValueType
Definition: Coord.h:270
void expand(const CoordBBox &bbox)
Union this bounding box with the given bounding box.
Definition: Coord.h:428
Int32 z() const
Definition: Coord.h:156
CoordBBox(CoordBBox &other, const tbb::split &)
Splitting constructor for use in TBB ranges.
Definition: Coord.h:323
Vec3d getCenter() const
Return the floating-point position of the center of this bounding box.
Definition: Coord.h:365
Coord getStart() const
Definition: Coord.h:350
General-purpose arithmetic and comparison routines, most of which accept arbitrary value types (or at...
Coord Abs(const Coord &xyz)
Definition: Coord.h:254
static Coord floor(const Vec3< T > &xyz)
Return the largest integer coordinates that are not greater than xyz (node centered conversion)...
Definition: Coord.h:80
bool hasVolume() const
Return true if this bounding box is nonempty.
Definition: Coord.h:361
Coord(Int32 xyz)
Definition: Coord.h:60
bool operator>(const Coord &rhs) const
Lexicographic greater than.
Definition: Coord.h:194
CoordBBox(ValueType x_min, ValueType y_min, ValueType z_min, ValueType x_max, ValueType y_max, ValueType z_max)
Construct from individual components of the min and max bounds.
Definition: Coord.h:316
size_t MaxIndex(const Vec3T &v)
Return the index [0,1,2] of the largest value in a 3D vector.
Definition: Math.h:911
CoordBBox & operator<<=(size_t n)
Bit-wise operations performed on both the min and max members.
Definition: Coord.h:470
static Coord min()
Return the smallest possible coordinate.
Definition: Coord.h:67
const Int32 * data() const
Definition: Coord.h:163
Vec3< int32_t > Vec3i
Definition: Vec3.h:705
Coord & operator>>=(size_t n)
Definition: Coord.h:148
Axis-aligned bounding box of signed integer coordinates.
Definition: Coord.h:266
Vec3< Index32 > Vec3I
Definition: Coord.h:54
void read(std::istream &is)
Definition: Coord.h:243
Vec3i asVec3i() const
Definition: Coord.h:169
Coord & operator-=(const Coord &rhs)
Definition: Coord.h:128
Int32 y() const
Definition: Coord.h:155
void write(std::ostream &os) const
Definition: Coord.h:244
bool isInside(const CoordBBox &b) const
Return true if the given bounding box is inside this bounding box.
Definition: Coord.h:396
Coord(const Int32 *v)
Definition: Coord.h:64
size_t MinIndex(const Vec3T &v)
Return the index [0,1,2] of the smallest value in a 3D vector.
Definition: Math.h:890
Coord(const Vec3I &v)
Definition: Coord.h:63
std::numeric_limits< ValueType > Limits
Definition: Coord.h:57
Signed (x, y, z) 32-bit integer coordinates.
Definition: Coord.h:48
void resetToCube(const Coord &min, ValueType dim)
Definition: Coord.h:347
static Coord maxComponent(const Coord &lhs, const Coord &rhs)
Return the component-wise maximum of the two Coords.
Definition: Coord.h:223
void expand(ValueType padding)
Pad this bounding box with the specified padding.
Definition: Coord.h:408
CoordBBox & operator>>=(size_t n)
Bit-wise operations performed on both the min and max members.
Definition: Coord.h:471
Index64 volume() const
Return the integer volume of coordinates spanned by this bounding box.
Definition: Coord.h:375
void getCornerPoints(Coord *p) const
Populates an array with the eight corner points of this bounding box.
Definition: Coord.h:453
Vec3< typename promote< T, Coord::ValueType >::type > operator-(const Coord &v1, const Vec3< T > &v0)
Allow a Coord to be subtracted from a Vec3.
Definition: Coord.h:538
Iterator over Coord domain covered by a CoordBBox.
Definition: Coord.h:277
Coord & min()
Definition: Coord.h:342
Int32 & operator[](size_t i)
Definition: Coord.h:161
size_t maxExtent() const
Return the index (0, 1 or 2) of the longest axis.
Definition: Coord.h:387
CoordBBox expandBy(ValueType padding) const
Return a new instance that is expanded by the specified padding.
Definition: Coord.h:415
Coord extents() const
Definition: Coord.h:372
Coord offsetBy(Int32 n) const
Definition: Coord.h:119
bool operator<=(const Coord &rhs) const
Lexicographic less than or equal to.
Definition: Coord.h:187
const Int32 * asPointer() const
Definition: Coord.h:165
Int32 & x()
Definition: Coord.h:158
size_t minExtent() const
Return the index (0, 1 or 2) of the shortest axis.
Definition: Coord.h:384
Iterator(const CoordBBox &b)
C-tor from a bounding box.
Definition: Coord.h:280
void expand(const Coord &xyz)
Expand this bounding box to enclose point (x, y, z).
Definition: Coord.h:421
Coord & operator<<=(size_t n)
Definition: Coord.h:147
Int32 * data()
Definition: Coord.h:164
bool is_divisible() const
Return true if this bounding box can be subdivided [mainly for use by TBB].
Definition: Coord.h:381
#define OPENVDB_VERSION_NAME
Definition: version.h:43
int32_t Int32
Definition: Coord.h:51
CoordBBox()
The default constructor produces an empty bounding box.
Definition: Coord.h:312
uint64_t Index64
Definition: Coord.h:269
Vec3< double > Vec3d
Definition: Vec3.h:708
void minComponent(const Coord &other)
Perform a component-wise minimum with the other Coord.
Definition: Coord.h:199
const Coord & operator*() const
Return a const reference to the coordinate currently pointed to.
Definition: Coord.h:293
Int32 & z()
Definition: Coord.h:160
bool operator==(const CoordBBox &rhs) const
Definition: Coord.h:354
Coord & setX(Int32 x)
Definition: Coord.h:103
Coord & operator+=(const Coord &rhs)
Definition: Coord.h:121
Coord & offset(Int32 dx, Int32 dy, Int32 dz)
Definition: Coord.h:107
const Coord & max() const
Definition: Coord.h:340
static CoordBBox inf()
Return an "infinite" bounding box, as defined by the Coord value range.
Definition: Coord.h:337
Definition: Exceptions.h:39
Iterator & operator++()
Increments iterator to point to the next coordinate.
Definition: Coord.h:284
Coord & reset(Int32 xyz)
Reset all three coordinates with the same specified argument.
Definition: Coord.h:101
size_t minIndex() const
Return the index (0, 1 or 2) with the smallest value.
Definition: Coord.h:238
Int32 & y()
Definition: Coord.h:159
CoordBBox(const Coord &min, const Coord &max)
Construct a bounding box with the given min and max bounds.
Definition: Coord.h:314
static Coord max()
Return the largest possible coordinate.
Definition: Coord.h:70
void intersect(const CoordBBox &bbox)
Intersect this bounding box with the given bounding box.
Definition: Coord.h:434
void asXYZ(Int32 &x, Int32 &y, Int32 &z) const
Definition: Coord.h:171
Int32 ValueType
Definition: Coord.h:56
std::ostream & operator<<(std::ostream &os, const CoordBBox &b)
Definition: Coord.h:549
bool isInside(const Coord &xyz) const
Return true if point (x, y, z) is inside this bounding box.
Definition: Coord.h:390
Coord & reset(Int32 x, Int32 y, Int32 z)
Reset all three coordinates with the specified arguments.
Definition: Coord.h:93
uint64_t Index64
Definition: Types.h:56
void translate(const Coord &t)
Translate this bounding box by .
Definition: Coord.h:447
size_t maxIndex() const
Return the index (0, 1 or 2) with the largest value.
Definition: Coord.h:241
void write(std::ostream &os) const
Serialize this bounding box to the given stream.
Definition: Coord.h:481
bool operator==(const Coord &rhs) const
Definition: Coord.h:173
Vec3s asVec3s() const
Definition: Coord.h:168
Coord operator-(const Coord &rhs) const
Definition: Coord.h:139
bool operator>=(const Coord &rhs) const
Lexicographic greater than or equal to.
Definition: Coord.h:196
Int32 x() const
Definition: Coord.h:154
bool empty() const
Definition: Coord.h:357
static Coord minComponent(const Coord &lhs, const Coord &rhs)
Return the component-wise minimum of the two Coords.
Definition: Coord.h:215
Coord operator-() const
Definition: Coord.h:143
float Round(float x)
Return x rounded to the nearest integer.
Definition: Math.h:785
static CoordBBox createCube(const Coord &min, ValueType dim)
Definition: Coord.h:331
Coord & setY(Int32 y)
Definition: Coord.h:104
Vec3I asVec3I() const
Definition: Coord.h:170
static bool lessThan(const Coord &a, const Coord &b)
Definition: Coord.h:232
Coord dim() const
Return the dimensions of the coordinates spanned by this bounding box.
Definition: Coord.h:370
Int32 * asPointer()
Definition: Coord.h:166
void reset(const Coord &min, const Coord &max)
Definition: Coord.h:346
bool operator!=(const CoordBBox &rhs) const
Definition: Coord.h:355
static Coord round(const Vec3< T > &xyz)
Return xyz rounded to the closest integer coordinates (cell centered conversion). ...
Definition: Coord.h:74
void maxComponent(const Coord &other)
Perform a component-wise maximum with the other Coord.
Definition: Coord.h:207
static Coord ceil(const Vec3< T > &xyz)
Return the largest integer coordinates that are not greater than xyz+1 (node centered conversion)...
Definition: Coord.h:87
bool operator<(const Coord &rhs) const
Lexicographic less than.
Definition: Coord.h:180
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h:71
uint32_t Index32
Definition: Coord.h:52
const Coord & min() const
Definition: Coord.h:339
int32_t Int32
Definition: Types.h:59
Coord & offset(Int32 n)
Definition: Coord.h:114
void expand(const Coord &min, Coord::ValueType dim)
Union this bounding box with the cubical bounding box of the given size and with the given minimum co...
Definition: Coord.h:441
bool hasOverlap(const CoordBBox &b) const
Return true if the given bounding box overlaps with this bounding box.
Definition: Coord.h:402
Coord & max()
Definition: Coord.h:343
Vec3< typename promote< T, typename Coord::ValueType >::type > operator+(const Coord &v1, const Vec3< T > &v0)
Allow a Coord to be added to or subtracted from a Vec3.
Definition: Coord.h:512
void read(std::istream &is)
Unserialize this bounding box from the given stream.
Definition: Coord.h:479
void reset()
Definition: Coord.h:345
Vec3d asVec3d() const
Definition: Coord.h:167
Vec3< Int32 > Vec3i
Definition: Coord.h:53
Int32 operator[](size_t i) const
Definition: Coord.h:157
Coord offsetBy(Int32 dx, Int32 dy, Int32 dz) const
Definition: Coord.h:115
int Ceil(float x)
Return the ceiling of x.
Definition: Math.h:822
Coord getEnd() const
Definition: Coord.h:352