DGtal  1.4.beta
testCOBANaivePlaneComputer.cpp
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1 
31 #include <cstdlib>
32 #include <iostream>
33 #include "DGtal/base/Common.h"
34 #include "DGtal/helpers/StdDefs.h"
35 #include "DGtal/kernel/CPointPredicate.h"
36 #include "DGtal/geometry/surfaces/CAdditivePrimitiveComputer.h"
37 #include "DGtal/geometry/surfaces/COBANaivePlaneComputer.h"
38 #include "DGtal/geometry/surfaces/COBAGenericNaivePlaneComputer.h"
40 
41 using namespace std;
42 using namespace DGtal;
43 using namespace DGtal::concepts;
44 
46 // Functions for testing class COBANaivePlaneComputer.
48 
49 template <typename Integer>
50 Integer getRandomInteger( const Integer & first, const Integer & after_last )
51 {
52  Integer r = (Integer) rand();
53  return ( r % (after_last - first) ) + first;
54 }
55 
59 template <typename Integer, typename NaivePlaneComputer>
60 bool
62  int diameter, unsigned int nbtries )
63 {
64  typedef typename NaivePlaneComputer::Point Point;
65  typedef typename Point::Component PointInteger;
67  Integer absA = ic.abs( a );
68  Integer absB = ic.abs( b );
69  Integer absC = ic.abs( c );
70  Integer x, y, z;
71  Dimension axis;
72  if ( ( absA >= absB ) && ( absA >= absC ) )
73  axis = 0;
74  else if ( ( absB >= absA ) && ( absB >= absC ) )
75  axis = 1;
76  else
77  axis = 2;
78  Point p;
79  NaivePlaneComputer plane;
80  plane.init( axis, diameter, 1, 1 );
81  // Checks that points within the naive plane are correctly recognized.
82  unsigned int nb = 0;
83  unsigned int nbok = 0;
84  while ( nb != nbtries )
85  {
86  p[ 0 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
87  p[ 1 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
88  p[ 2 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
89  x = (Integer) p[ 0 ];
90  y = (Integer) p[ 1 ];
91  z = (Integer) p[ 2 ];
92  switch ( axis ) {
93  case 0: p[ 0 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - b * y - c * z, a ) ); break;
94  case 1: p[ 1 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - a * x - c * z, b ) ); break;
95  case 2: p[ 2 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - a * x - b * y, c ) ); break;
96  }
97  bool ok_ext = plane.isExtendable( p ); // should be ok
98  bool ok = plane.extend( p ); // should be ok
99  ++nb; nbok += ok_ext ? 1 : 0;
100  ++nb; nbok += ok ? 1 : 0;
101  if ( ! ok )
102  {
103  std::cerr << "[ERROR] p=" << p << " NOT IN plane=" << plane << std::endl;
104  break;
105  }
106  if ( ! ok_ext )
107  {
108  std::cerr << "[ERROR] p=" << p << " was NOT extendable IN plane=" << plane << std::endl;
109  break;
110  }
111  // else
112  // std::cerr << "[OK] p=" << p << " IN plane=" << plane << std::endl;
113  }
114 
115  // Checks that points outside the naive plane are correctly recognized as outliers.
116  while ( nb != (nbtries * 11 ) / 10 )
117  {
118  p[ 0 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
119  p[ 1 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
120  p[ 2 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
121  x = (Integer) p[ 0 ];
122  y = (Integer) p[ 1 ];
123  z = (Integer) p[ 2 ];
124  switch ( axis ) {
125  case 0: p[ 0 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - b * y - c * z, a ) ); break;
126  case 1: p[ 1 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - a * x - c * z, b ) ); break;
127  case 2: p[ 2 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - a * x - b * y, c ) ); break;
128  }
129  PointInteger tmp = getRandomInteger<PointInteger>( 2, 5 )
130  * (2*getRandomInteger<PointInteger>( 0, 2 ) - 1 );
131  p[ axis ] += tmp;
132  bool ok_ext = ! plane.isExtendable( p ); // should *not* be ok
133  bool ok = ! plane.extend( p ); // should *not* be ok
134  ++nb; nbok += ok ? 1 : 0;
135  ++nb; nbok += ok_ext ? 1 : 0;
136  if ( ! ok )
137  {
138  std::cerr << "[ERROR] p=" << p << " IN plane=" << plane << std::endl;
139  break;
140  }
141  if ( ! ok_ext )
142  {
143  std::cerr << "[ERROR] p=" << p << " was extendable IN plane=" << plane << std::endl;
144  break;
145  }
146  // else
147  // std::cerr << "[OK] p=" << p << " IN plane=" << plane << std::endl;
148  }
149  return nb == nbok;
150 }
151 
152 
156 template <typename Integer, typename GenericNaivePlaneComputer>
157 bool
159  int diameter, unsigned int nbtries )
160 {
161  typedef typename GenericNaivePlaneComputer::Point Point;
162  typedef typename Point::Component PointInteger;
164  Integer absA = ic.abs( a );
165  Integer absB = ic.abs( b );
166  Integer absC = ic.abs( c );
167  Integer x, y, z;
168  Dimension axis;
169  if ( ( absA >= absB ) && ( absA >= absC ) )
170  axis = 0;
171  else if ( ( absB >= absA ) && ( absB >= absC ) )
172  axis = 1;
173  else
174  axis = 2;
175  Point p;
176  GenericNaivePlaneComputer plane;
177  plane.init( diameter, 1, 1 );
178  // Checks that points within the naive plane are correctly recognized.
179  unsigned int nb = 0;
180  unsigned int nbok = 0;
181  while ( nb != nbtries )
182  {
183  p[ 0 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
184  p[ 1 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
185  p[ 2 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
186  x = (Integer) p[ 0 ];
187  y = (Integer) p[ 1 ];
188  z = (Integer) p[ 2 ];
189  switch ( axis ) {
190  case 0: p[ 0 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - b * y - c * z, a ) ); break;
191  case 1: p[ 1 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - a * x - c * z, b ) ); break;
192  case 2: p[ 2 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - a * x - b * y, c ) ); break;
193  }
194  bool ok_ext = plane.isExtendable( p ); // should be ok
195  bool ok = plane.extend( p ); // should be ok
196  ++nb; nbok += ok_ext ? 1 : 0;
197  ++nb; nbok += ok ? 1 : 0;
198  if ( ! ok )
199  {
200  std::cerr << "[ERROR] p=" << p << " NOT IN plane=" << plane << std::endl;
201  break;
202  }
203  if ( ! ok_ext )
204  {
205  std::cerr << "[ERROR] p=" << p << " was NOT extendable IN plane=" << plane << std::endl;
206  break;
207  }
208  // else
209  // std::cerr << "[OK] p=" << p << " IN plane=" << plane << std::endl;
210  }
211 
212  // Checks that points outside the naive plane are correctly recognized as outliers.
213  while ( nb != (nbtries * 11 ) / 10 )
214  {
215  p[ 0 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
216  p[ 1 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
217  p[ 2 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
218  x = (Integer) p[ 0 ];
219  y = (Integer) p[ 1 ];
220  z = (Integer) p[ 2 ];
221  switch ( axis ) {
222  case 0: p[ 0 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - b * y - c * z, a ) ); break;
223  case 1: p[ 1 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - a * x - c * z, b ) ); break;
224  case 2: p[ 2 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - a * x - b * y, c ) ); break;
225  }
226  PointInteger tmp = getRandomInteger<PointInteger>( 2, 5 )
227  * (2*getRandomInteger<PointInteger>( 0, 2 ) - 1 );
228  p[ axis ] += tmp;
229  bool ok_ext = ! plane.isExtendable( p ); // should *not* be ok
230  bool ok = ! plane.extend( p ); // should *not* be ok
231  ++nb; nbok += ok ? 1 : 0;
232  ++nb; nbok += ok_ext ? 1 : 0;
233  if ( ! ok )
234  {
235  std::cerr << "[ERROR] p=" << p << " IN plane=" << plane << std::endl;
236  break;
237  }
238  if ( ! ok_ext )
239  {
240  std::cerr << "[ERROR] p=" << p << " was extendable IN plane=" << plane << std::endl;
241  break;
242  }
243  // else
244  // std::cerr << "[OK] p=" << p << " IN plane=" << plane << std::endl;
245  }
246  std::cerr << "plane = " << plane << std::endl;
247  return nb == nbok;
248 }
249 
250 
251 template <typename Integer, typename NaivePlaneComputer>
252 bool
253 checkPlanes( unsigned int nbplanes, int diameter, unsigned int nbtries )
254 {
255  //using namespace Z3i;
256  //typedef COBANaivePlaneComputer<Z3, Integer> NaivePlaneComputer;
257  unsigned int nb = 0;
258  unsigned int nbok = 0;
259  for ( unsigned int nbp = 0; nbp < nbplanes; ++nbp )
260  {
261  Integer a = getRandomInteger<Integer>( (Integer) 0, (Integer) diameter / 2 );
262  Integer b = getRandomInteger<Integer>( (Integer) 0, (Integer) diameter / 2 );
263  Integer c = getRandomInteger<Integer>( (Integer) 0, (Integer) diameter / 2 );
264  Integer d = getRandomInteger<Integer>( (Integer) 0, (Integer) diameter / 2 );
265  if ( ( a != 0 ) || ( b != 0 ) || ( c != 0 ) )
266  {
267  ++nb; nbok += checkPlane<Integer, NaivePlaneComputer>( a, b, c, d, diameter, nbtries ) ? 1 : 0;
268  if ( nb != nbok )
269  {
270  std::cerr << "[ERROR] for plane " << a << " * x + "
271  << b << " * y + " << c << " * z = " << d << std::endl;
272  break;
273  }
274  }
275  }
276  return nb == nbok;
277 }
278 
284 {
285  unsigned int nbok = 0;
286  unsigned int nb = 0;
287  using namespace Z3i;
289  typedef COBAGenericNaivePlaneComputer<Z3, BigInteger> GenericNaivePlaneComputer;
290 
291  BOOST_CONCEPT_ASSERT(( CAdditivePrimitiveComputer< NaivePlaneComputer > ));
293  BOOST_CONCEPT_ASSERT(( boost::ForwardContainer< NaivePlaneComputer > ));
295  BOOST_CONCEPT_ASSERT(( CPointPredicate< NaivePlaneComputer::Primitive > ));
297 
298  trace.beginBlock ( "Testing block: COBANaivePlaneComputer instantiation." );
299  NaivePlaneComputer plane;
300  Point pt0( 0, 0, 0 );
301  plane.init( 2, 100, 3, 2 );
302  bool pt0_inside = plane.extend( pt0 );
303  FATAL_ERROR(pt0_inside);
304 
305  trace.info() << "(" << nbok << "/" << nb << ") Plane=" << plane
306  << std::endl;
307  Point pt1( Point( 8, 1, 3 ) );
308  bool pt1_inside = plane.extend( pt1 );
309  ++nb; nbok += pt1_inside == true ? 1 : 0;
310  trace.info() << "(" << nbok << "/" << nb << ") add " << pt1
311  << " Plane=" << plane << std::endl;
312  Point pt2( Point( 2, 7, 1 ) );
313  bool pt2_inside = plane.extend( pt2 );
314  ++nb; nbok += pt2_inside == true ? 1 : 0;
315  trace.info() << "(" << nbok << "/" << nb << ") add " << pt2
316  << " Plane=" << plane << std::endl;
317 
318  Point pt3( Point( 0, 5, 17 ) );
319  bool pt3_inside = plane.extend( pt3 );
320  ++nb; nbok += pt3_inside == false ? 1 : 0;
321  trace.info() << "(" << nbok << "/" << nb << ") add " << pt3
322  << " Plane=" << plane << std::endl;
323 
324  Point pt4( Point( -10, -10, 10 ) );
325  bool pt4_inside = plane.extend( pt4 );
326  ++nb; nbok += pt4_inside == false ? 1 : 0;
327  trace.info() << "(" << nbok << "/" << nb << ") add " << pt4
328  << " Plane=" << plane << std::endl;
329 
330  Point pt5 = pt0 + pt1 + pt2 + Point( 0, 0, 2 );
331  bool pt5_inside = plane.extend( pt5 );
332  ++nb; nbok += pt5_inside == true ? 1 : 0;
333  trace.info() << "(" << nbok << "/" << nb << ") add " << pt5
334  << " Plane=" << plane << std::endl;
335 
336  NaivePlaneComputer plane2;
337  plane2.init( 2, 100, 1, 1 );
338  plane2.extend( Point( 10, 0, 0 ) );
339  plane2.extend( Point( 0, 8, 0 ) );
340  plane2.extend( Point( 0, 0, 6 ) );
341  trace.info() << "(" << nbok << "/" << nb << ") "
342  << " Plane2=" << plane2 << std::endl;
343 
344  ++nb; nbok += checkPlane<Integer,NaivePlaneComputer>( 11, 5, 19, 20, 100, 100 ) ? 1 : 0;
345  trace.info() << "(" << nbok << "/" << nb
346  << ") checkPlane<Integer,NaivePlaneComputer>( 11, 5, 19, 20, 100, 100 )"
347  << std::endl;
348 
349  ++nb; nbok += checkGenericPlane<Integer,GenericNaivePlaneComputer>( 11, 5, 19, 20, 100, 100 ) ? 1 : 0;
350  trace.info() << "(" << nbok << "/" << nb
351  << ") checkGenericPlane<Integer,GenericNaivePlaneComputer>( 11, 5, 19, 20, 100, 100 )"
352  << std::endl;
353  ++nb; nbok += checkGenericPlane<Integer,GenericNaivePlaneComputer>( 17, 33, 7, 10, 100, 100 ) ? 1 : 0;
354  trace.info() << "(" << nbok << "/" << nb
355  << ") checkGenericPlane<Integer,GenericNaivePlaneComputer>( 17, 33, 7, 10, 100, 100 )"
356  << std::endl;
357  ++nb; nbok += checkPlane<Integer,NaivePlaneComputer>( 15, 8, 13, 15, 100, 100 ) ? 1 : 0;
358  trace.info() << "(" << nbok << "/" << nb
359  << ") checkPlane<Integer,NaivePlaneComputer>( 15, 8, 13, 15, 100, 100 )"
360  << std::endl;
361  ++nb; nbok += checkGenericPlane<Integer,GenericNaivePlaneComputer>( 15, 8, 13, 15, 100, 100 ) ? 1 : 0;
362  trace.info() << "(" << nbok << "/" << nb
363  << ") checkGenericPlane<Integer,GenericNaivePlaneComputer>( 15, 8, 13, 15, 100, 100 )"
364  << std::endl;
365  trace.endBlock();
366  return nbok == nb;
367 }
368 
369 template <typename NaivePlaneComputer>
370 bool
371 checkManyPlanes( unsigned int diameter,
372  unsigned int nbplanes,
373  unsigned int nbpoints )
374 {
375  unsigned int nbok = 0;
376  unsigned int nb = 0;
378  stringstream ss (stringstream::out);
379  ss << "Testing block: Diameter is " << diameter << ". Check " << nbplanes << " planes with " << nbpoints << " points each.";
380  trace.beginBlock ( ss.str() );
381  ++nb; nbok += checkPlanes<Integer,NaivePlaneComputer>( nbplanes, diameter, nbpoints ) ? 1 : 0;
382  trace.info() << "(" << nbok << "/" << nb
383  << ") checkPlanes<Integer,NaivePlaneComputer>()"
384  << std::endl;
385  trace.endBlock();
386  return nbok == nb;
387 }
388 
392 template <typename NaivePlaneComputer>
393 unsigned int maxDiameter( unsigned int min, unsigned int max )
394 {
395  while ( min < max )
396  {
397  unsigned int middle = (min+max)/2;
398  bool ok = checkManyPlanes<NaivePlaneComputer>( middle, 2, 2000 );
399  if ( ok ) min = middle+1;
400  else max = middle;
401  }
402  return min-1;
403 }
404 
405 template <typename GenericNaivePlaneComputer>
406 bool
407 checkExtendWithManyPoints( unsigned int diameter,
408  unsigned int nbplanes,
409  unsigned int nbpoints )
410 {
411  unsigned int nbok = 0;
412  unsigned int nb = 0;
414  typedef typename GenericNaivePlaneComputer::Point Point;
415  typedef typename Point::Coordinate PointInteger;
417 
418  trace.beginBlock( "checkExtendWithManyPoints" );
419  for ( unsigned int j = 0; j < nbplanes; ++j )
420  {
421  Integer a = getRandomInteger<Integer>( (Integer) 0, (Integer) diameter / 2 );
422  Integer b = getRandomInteger<Integer>( (Integer) 0, (Integer) diameter / 2 );
423  Integer c = getRandomInteger<Integer>( (Integer) 1, (Integer) diameter / 2 );
424  Integer d = getRandomInteger<Integer>( (Integer) 0, (Integer) diameter / 2 );
425  GenericNaivePlaneComputer plane;
426  Dimension axis;
427  if ( ( a >= b ) && ( a >= c ) ) axis = 0;
428  else if ( ( b >= a ) && ( b >= c ) ) axis = 1;
429  else axis = 2;
430  plane.init( diameter, 1, 1 );
431 
432  std::vector<Point> pts;
433  for ( unsigned int i = 0; i < nbpoints; ++i )
434  {
435  Point p;
436  p[ 0 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
437  p[ 1 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
438  p[ 2 ] = getRandomInteger<PointInteger>( -diameter+1, diameter );
439  Integer x = (Integer) p[ 0 ];
440  Integer y = (Integer) p[ 1 ];
441  Integer z = (Integer) p[ 2 ];
442  switch( axis ) {
443  case 0: p[ 0 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - b * y - c * z, a ) ); break;
444  case 1: p[ 1 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - a * x - c * z, b ) ); break;
445  case 2: p[ 2 ] = NumberTraits<Integer>::castToInt64_t( ic.ceilDiv( d - a * x - b * y, c ) ); break;
446  }
447  pts.push_back( p );
448  }
449  ++nb; nbok += plane.isExtendable( pts.begin(), pts.end() ); // should be ok
450  trace.info() << "(" << nbok << "/" << nb
451  << ") plane.isExtendable( pts.begin(), pts.end() )"
452  << std::endl;
453  Point & any0 = pts[ getRandomInteger<int>( 0, pts.size() ) ];
454  pts.push_back( any0 + Point(1,0,0) );
455  Point & any1 = pts[ getRandomInteger<int>( 0, pts.size() ) ];
456  pts.push_back( any1 + Point(0,1,0) );
457  Point & any2 = pts[ getRandomInteger<int>( 0, pts.size() ) ];
458  pts.push_back( any2 + Point(0,0,1) );
459  bool check = ! plane.isExtendable( pts.begin(), pts.end() ); // should not be ok
460  ++nb; nbok += check ? 1 : 0;
461  trace.info() << "(" << nbok << "/" << nb
462  << ") ! plane.isExtendable( pts.begin(), pts.end() )"
463  << std::endl;
464  if ( ! check )
465  trace.warning() << plane << " last=" << pts.back() << std::endl
466  << "a=" << a << " b=" << b << " c=" << c << " d=" << d << std::endl;
467  ++nb; nbok += plane.extend( pts.begin(), pts.end() - 3 ); // should be ok
468  trace.info() << "(" << nbok << "/" << nb
469  << ") plane.extend( pts.begin(), pts.end() - 3)"
470  << std::endl;
471  ++nb; nbok += ! plane.extend( pts.end() - 3, pts.end() ); // should not be ok
472  trace.info() << "(" << nbok << "/" << nb
473  << ") ! plane.extend( pts.end() - 3, pts.end() )"
474  << std::endl;
475  }
476  trace.endBlock();
477  return nb == nbok;
478 }
479 
481 // Standard services - public :
482 
483 int main( int /*argc*/, char** /*argv*/ )
484 {
485  using namespace Z3i;
486 
487  // Max diameter is ~20 for int32_t, ~500 for int64_t, any with BigInteger.
488  trace.beginBlock ( "Testing class COBANaivePlaneComputer" );
489  bool res = true
491  && checkManyPlanes<COBANaivePlaneComputer<Z3, DGtal::int32_t> >( 20, 100, 200 )
493  && checkManyPlanes<COBANaivePlaneComputer<Z3, DGtal::BigInteger> >( 10000, 10, 200 )
495 
496  trace.emphase() << ( res ? "Passed." : "Error." ) << endl;
497  trace.endBlock();
498  // trace.beginBlock ( "Max diameter for COBANaivePlaneComputer<Z3, int32_t>" );
499  // unsigned int maxd = maxDiameter<COBANaivePlaneComputer<Z3, DGtal::int32_t> >( 10, 1000 );
500  // trace.emphase() << maxd << endl;
501  // trace.endBlock();
502  // trace.beginBlock ( "Max diameter for COBANaivePlaneComputer<Z3, int64_t>" );
503  // unsigned int maxd2 = maxDiameter<COBANaivePlaneComputer<Z3, DGtal::int32_t> >( 100, 100000 );
504  // trace.emphase() << maxd2 << endl;
505  // trace.endBlock();
506  return res ? 0 : 1;
507 }
508 // //
Aim: A class that recognizes pieces of digital planes of given axis width. When the width is 1,...
void init(Dimension axis, InternalInteger diameter, InternalInteger widthNumerator=NumberTraits< InternalInteger >::ONE, InternalInteger widthDenominator=NumberTraits< InternalInteger >::ONE)
bool isExtendable(const Point &p) const
bool extend(const Point &p)
static Integer abs(IntegerParamType a)
Integer ceilDiv(IntegerParamType na, IntegerParamType nb) const
void beginBlock(const std::string &keyword="")
std::ostream & emphase()
std::ostream & info()
std::ostream & warning()
double endBlock()
COBANaivePlaneComputer< Z3, InternalInteger > NaivePlaneComputer
DGtal::int64_t InternalInteger
Aim: Gathers several functions useful for concept checks.
DGtal is the top-level namespace which contains all DGtal functions and types.
DGtal::uint32_t Dimension
Definition: Common.h:136
Trace trace
Definition: Common.h:153
Aim: The traits class for all models of Cinteger.
Definition: NumberTraits.h:564
Aim: Defines the concept describing an object that computes some primitive from input points given gr...
Aim: Defines a predicate on a point.
Go to http://www.sgi.com/tech/stl/ForwardContainer.html.
Definition: Boost.dox:110
int max(int a, int b)
unsigned int maxDiameter(unsigned int min, unsigned int max)
int main(int, char **)
bool checkPlane(Integer a, Integer b, Integer c, Integer d, int diameter, unsigned int nbtries)
bool checkPlanes(unsigned int nbplanes, int diameter, unsigned int nbtries)
bool checkGenericPlane(Integer a, Integer b, Integer c, Integer d, int diameter, unsigned int nbtries)
Integer getRandomInteger(const Integer &first, const Integer &after_last)
bool checkExtendWithManyPoints(unsigned int diameter, unsigned int nbplanes, unsigned int nbpoints)
bool testCOBANaivePlaneComputer()
bool checkManyPlanes(unsigned int diameter, unsigned int nbplanes, unsigned int nbpoints)
MyPointD Point
Definition: testClone2.cpp:383