amrex::MC::LookUpTable Struct Reference

#include <AMReX_mc_jgt_table.H>

Public Attributes
std::int8_t	cases [256][2]
	LookUpTable for the MarchingCubes 33 Algorithm.
std::int8_t	tiling1 [16][3]
	tiling table for case 1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling2 [24][6]
	tiling table for case 2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	test3 [24]
	test table for case 3 One face to test When the test on the specified face is positive : 4 first triangles When the test on the specified face is negative : 2 last triangles
std::int8_t	tiling3_1 [24][6]
	tiling table for case 3.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling3_2 [24][12]
	tiling table for case 3.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	test4 [8]
	test table for case 4 Interior to test When the test on the interior is negative : 2 first triangles When the test on the interior is positive : 6 last triangles
std::int8_t	tiling4_1 [8][6]
	tiling table for case 4.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling4_2 [8][18]
	tiling table for case 4.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling5 [48][9]
	tiling table for case 5 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	test6 [48][3]
	test table for case 6 1 face to test + eventually the interior When the test on the specified face is positive : 5 first triangles When the test on the specified face is negative :
std::int8_t	tiling6_1_1 [48][9]
	tiling table for case 6.1.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling6_1_2 [48][27]
	tiling table for case 6.1.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling6_2 [48][15]
	tiling table for case 6.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	test7 [16][5]
	test table for case 7 3 faces to test + eventually the interior When the tests on the 3 specified faces are positive :
std::int8_t	tiling7_1 [16][9]
	tiling table for case 7.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling7_2 [16][3][15]
	tiling table for case 7.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling7_3 [16][3][27]
	tiling table for case 7.3 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling7_4_1 [16][15]
	tiling table for case 7.4.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling7_4_2 [16][27]
	tiling table for case 7.4.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling8 [6][6]
	tiling table for case 8 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling9 [8][12]
	tiling table for case 9 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	test10 [6][3]
	test table for case 10 2 faces to test + eventually the interior When the tests on both specified faces are positive : 4 middle triangles (1) When the test on the first specified face is positive : 8 first triangles When the test on the second specified face is positive : 8 next triangles When the tests on both specified faces are negative :
std::int8_t	tiling10_1_1 [6][12]
	tiling table for case 10.1.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling10_1_1_ [6][12]
	tiling table for case 10.1.1 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling10_1_2 [6][24]
	tiling table for case 10.1.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling10_2 [6][24]
	tiling table for case 10.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling10_2_ [6][24]
	tiling table for case 10.2 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling11 [12][12]
	tiling table for case 11 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	test12 [24][4]
	test table for case 12 2 faces to test + eventually the interior When the tests on both specified faces are positive : 4 middle triangles (1) When the test on the first specified face is positive : 8 first triangles When the test on the second specified face is positive : 8 next triangles When the tests on both specified faces are negative :
std::int8_t	tiling12_1_1 [24][12]
	tiling table for case 12.1.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling12_1_1_ [24][12]
	tiling table for case 12.1.1 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling12_1_2 [24][24]
	tiling table for case 12.1.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling12_2 [24][24]
	tiling table for case 12.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling12_2_ [24][24]
	tiling table for case 12.2 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	test13 [2][7]
	test table for case 13 All faces are to be tested
std::int8_t	subconfig13 [64]
	subconfiguration table for case 13 Hard-coded tests for the subconfiguration determination
std::int8_t	tiling13_1 [2][12]
	tiling table for case 13.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling13_1_ [2][12]
	tiling table for case 13.1 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling13_2 [2][6][18]
	tiling table for case 13.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling13_2_ [2][6][18]
	tiling table for case 13.2 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling13_3 [2][12][30]
	tiling table for case 13.3 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling13_3_ [2][12][30]
	tiling table for case 13.3, inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling13_4 [2][4][36]
	tiling table for case 13.4 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling13_5_1 [2][4][18]
	tiling table for case 13.5.1 The support edge for the interior test is marked as the 1st column. For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling13_5_2 [2][4][30]
	tiling table for case 13.5.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.
std::int8_t	tiling14 [12][12]
	tiling table for case 14 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

Member Data Documentation

cases

std::int8_t amrex::MC::LookUpTable::cases[256][2]

LookUpTable for the MarchingCubes 33 Algorithm.

Author

Thomas Lewiner thoma.nosp@m.s.le.nosp@m.winer.nosp@m.@pol.nosp@m.ytech.nosp@m.niqu.nosp@m.e.org

Math Dept, PUC-Rio

Version

0.2

Date

12/08/2002

case mapping For each of the possible vertex states listed in this table there is a specific triangulation of the edge intersection points. The table lists all of them in the form of 0-5 edge triples with the list terminated by the invalid value -1. For example: case[3] list the 2 triangles formed when cube[0] and cube[1] are inside of the surface, but the rest of the cube is not.

Cube description: 7 ________ 6 _____6__ ________ /| /| 7/| /| /| /| / | / | / | /5 | / 6 / | 4 /_______ / | /__4____ / 10 /_______3/ | | | |5 | | 11 | | | | | 2 | | 3|__|_____|2 | |__|__2__| | 4 |__|_____| | / | / 8 3/ 9 / | / | / | / | / | / | /1 | / 5 / |/_______|/ |/___0___|/ |/_1_____|/ 0 1 0 1

subconfig13

std::int8_t amrex::MC::LookUpTable::subconfig13[64]

subconfiguration table for case 13 Hard-coded tests for the subconfiguration determination

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

test10

std::int8_t amrex::MC::LookUpTable::test10[6][3]

Initial value:

= {
  {  2,  4,  7 },
  {  5,  6,  7 },
  {  1,  3,  7 },
  {  1,  3,  7 },
  {  5,  6,  7 },
  {  2,  4,  7 }
}

test table for case 10 2 faces to test + eventually the interior When the tests on both specified faces are positive : 4 middle triangles (1) When the test on the first specified face is positive : 8 first triangles When the test on the second specified face is positive : 8 next triangles When the tests on both specified faces are negative :

• if the test on the interior is negative : 4 middle triangles
• if the test on the interior is positive : 8 last triangles

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

test12

std::int8_t amrex::MC::LookUpTable::test12[24][4]

Initial value:

= {
  {  4,  3,  7,  11 },
  {  3,  2,  7,  10 },
  {  2,  6,  7,   5 },
  {  6,  4,  7,   7 },
  {  2,  1,  7,   9 },
  {  5,  2,  7,   1 },
  {  5,  3,  7,   2 },
  {  5,  1,  7,   0 },
  {  5,  4,  7,   3 },
  {  6,  3,  7,   6 },
  {  1,  6,  7,   4 },
  {  1,  4,  7,   8 },
  {  4,  1,  7,   8 },
  {  6,  1,  7,   4 },
  {  3,  6,  7,   6 },
  {  4,  5,  7,   3 },
  {  1,  5,  7,   0 },
  {  3,  5,  7,   2 },
  {  2,  5,  7,   1 },
  {  1,  2,  7,   9 },
  {  4,  6,  7,   7 },
  {  6,  2,  7,   5 },
  {  2,  3,  7,  10 },
  {  3,  4,  7,  11 }
}

test table for case 12 2 faces to test + eventually the interior When the tests on both specified faces are positive : 4 middle triangles (1) When the test on the first specified face is positive : 8 first triangles When the test on the second specified face is positive : 8 next triangles When the tests on both specified faces are negative :

• if the test on the interior is negative : 4 middle triangles
• if the test on the interior is positive : 8 last triangles The support edge for the interior test is marked as the 4th column.

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

test13

std::int8_t amrex::MC::LookUpTable::test13[2][7]

Initial value:

= {
  { 1,2,3,4,5,6,7 },
  { 2,3,4,1,5,6,7 },
}

test table for case 13 All faces are to be tested

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

test3

std::int8_t amrex::MC::LookUpTable::test3[24]

Initial value:

= {
    5,
    1,
    4,
    5,
    1,
    2,
    2,
    3,
    4,
    3,
    6,
    6,
   -6,
   -6,
   -3,
   -4,
   -3,
   -2,
   -2,
   -1,
   -5,
   -4,
   -1,
   -5
}

test table for case 3 One face to test When the test on the specified face is positive : 4 first triangles When the test on the specified face is negative : 2 last triangles

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

test4

std::int8_t amrex::MC::LookUpTable::test4[8]

Initial value:

= {
   7,
   7,
   7,
   7,
  -7,
  -7,
  -7,
  -7
}

test table for case 4 Interior to test When the test on the interior is negative : 2 first triangles When the test on the interior is positive : 6 last triangles

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

test6

std::int8_t amrex::MC::LookUpTable::test6[48][3]

test table for case 6 1 face to test + eventually the interior When the test on the specified face is positive : 5 first triangles When the test on the specified face is negative :

• if the test on the interior is negative : 3 middle triangles
• if the test on the interior is positive : 8 last triangles The support edge for the interior test is marked as the 3rd column.

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

test7

std::int8_t amrex::MC::LookUpTable::test7[16][5]

Initial value:

= {
  {  1,  2,  5,  7,   1 },
  {  3,  4,  5,  7,   3 },
  {  4,  1,  6,  7,   4 },
  {  4,  1,  5,  7,   0 },
  {  2,  3,  5,  7,   2 },
  {  1,  2,  6,  7,   5 },
  {  2,  3,  6,  7,   6 },
  {  3,  4,  6,  7,   7 },
  { -3, -4, -6, -7,   7 },
  { -2, -3, -6, -7,   6 },
  { -1, -2, -6, -7,   5 },
  { -2, -3, -5, -7,   2 },
  { -4, -1, -5, -7,   0 },
  { -4, -1, -6, -7,   4 },
  { -3, -4, -5, -7,   3 },
  { -1, -2, -5, -7,   1 }
}

test table for case 7 3 faces to test + eventually the interior When the tests on the 3 specified faces are positive :

• if the test on the interior is positive : 5 first triangles
• if the test on the interior is negative : 9 next triangles When the tests on the first and the second specified faces are positive : 9 next triangles When the tests on the first and the third specified faces are positive : 9 next triangles When the tests on the second and the third specified faces are positive : 9 next triangles When the test on the first specified face is positive : 5 next triangles When the test on the second specified face is positive : 5 next triangles When the test on the third specified face is positive : 5 next triangles When the tests on the 3 specified faces are negative : 3 last triangles The support edge for the interior test is marked as the 5th column.

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling1

std::int8_t amrex::MC::LookUpTable::tiling1[16][3]

Initial value:

= {
  {  0,  8,  3 },
  {  0,  1,  9 },
  {  1,  2, 10 },
  {  3, 11,  2 },
  {  4,  7,  8 },
  {  9,  5,  4 },
  { 10,  6,  5 },
  {  7,  6, 11 },
  {  7, 11,  6 },
  { 10,  5,  6 },
  {  9,  4,  5 },
  {  4,  8,  7 },
  {  3,  2, 11 },
  {  1, 10,  2 },
  {  0,  9,  1 },
  {  0,  3,  8 }
}

tiling table for case 1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling10_1_1

std::int8_t amrex::MC::LookUpTable::tiling10_1_1[6][12]

Initial value:

= {
  {  5, 10,  7, 11,  7, 10,  8,  1,  9,  1,  8,  3 },
  {  1,  2,  5,  6,  5,  2,  4,  3,  0,  3,  4,  7 },
  { 11,  0,  8,  0, 11,  2,  4,  9,  6, 10,  6,  9 },
  {  9,  0, 10,  2, 10,  0,  6,  8,  4,  8,  6, 11 },
  {  7,  2,  3,  2,  7,  6,  0,  1,  4,  5,  4,  1 },
  {  7,  9,  5,  9,  7,  8, 10,  1, 11,  3, 11,  1 }
}

tiling table for case 10.1.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling10_1_1_

std::int8_t amrex::MC::LookUpTable::tiling10_1_1_[6][12]

Initial value:

= {
  {  5,  9,  7,  8,  7,  9, 11,  1, 10,  1, 11,  3 },
  {  3,  2,  7,  6,  7,  2,  4,  1,  0,  1,  4,  5 },
  { 10,  0,  9,  0, 10,  2,  4,  8,  6, 11,  6,  8 },
  {  8,  0, 11,  2, 11,  0,  6,  9,  4,  9,  6, 10 },
  {  5,  2,  1,  2,  5,  6,  0,  3,  4,  7,  4,  3 },
  {  7, 10,  5, 10,  7, 11,  9,  1,  8,  3,  8,  1 }
}

tiling table for case 10.1.1 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling10_1_2

std::int8_t amrex::MC::LookUpTable::tiling10_1_2[6][24]

Initial value:

= {
  {  3, 11,  7,  3,  7,  8,  9,  8,  7,  5,  9,  7,  9,  5, 10,  9, 10,  1,  3,  1, 10, 11,  3, 10 },
  {  7,  6,  5,  7,  5,  4,  0,  4,  5,  1,  0,  5,  0,  1,  2,  0,  2,  3,  7,  3,  2,  6,  7,  2 },
  { 11,  2, 10,  6, 11, 10, 11,  6,  4, 11,  4,  8,  0,  8,  4,  9,  0,  4,  0,  9, 10,  0, 10,  2 },
  { 11,  2, 10, 11, 10,  6,  4,  6, 10,  9,  4, 10,  4,  9,  0,  4,  0,  8, 11,  8,  0,  2, 11,  0 },
  {  7,  6,  5,  4,  7,  5,  7,  4,  0,  7,  0,  3,  2,  3,  0,  1,  2,  0,  2,  1,  5,  2,  5,  6 },
  {  7,  8,  3, 11,  7,  3,  7, 11, 10,  7, 10,  5,  9,  5, 10,  1,  9, 10,  9,  1,  3,  9,  3,  8 }
}

tiling table for case 10.1.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling10_2

std::int8_t amrex::MC::LookUpTable::tiling10_2[6][24]

Initial value:

= {
  { 12,  5,  9, 12,  9,  8, 12,  8,  3, 12,  3,  1, 12,  1, 10, 12, 10, 11, 12, 11,  7, 12,  7,  5 },
  { 12,  1,  0, 12,  0,  4, 12,  4,  7, 12,  7,  3, 12,  3,  2, 12,  2,  6, 12,  6,  5, 12,  5,  1 },
  {  4,  8, 12,  6,  4, 12, 10,  6, 12,  9, 10, 12,  0,  9, 12,  2,  0, 12, 11,  2, 12,  8, 11, 12 },
  { 12,  9,  4, 12,  4,  6, 12,  6, 11, 12, 11,  8, 12,  8,  0, 12,  0,  2, 12,  2, 10, 12, 10,  9 },
  {  0,  3, 12,  4,  0, 12,  5,  4, 12,  1,  5, 12,  2,  1, 12,  6,  2, 12,  7,  6, 12,  3,  7, 12 },
  { 10,  5, 12, 11, 10, 12,  3, 11, 12,  1,  3, 12,  9,  1, 12,  8,  9, 12,  7,  8, 12,  5,  7, 12 }
}

tiling table for case 10.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling10_2_

std::int8_t amrex::MC::LookUpTable::tiling10_2_[6][24]

Initial value:

= {
  {  8,  7, 12,  9,  8, 12,  1,  9, 12,  3,  1, 12, 11,  3, 12, 10, 11, 12,  5, 10, 12,  7,  5, 12 },
  {  4,  5, 12,  0,  4, 12,  3,  0, 12,  7,  3, 12,  6,  7, 12,  2,  6, 12,  1,  2, 12,  5,  1, 12 },
  { 12, 11,  6, 12,  6,  4, 12,  4,  9, 12,  9, 10, 12, 10,  2, 12,  2,  0, 12,  0,  8, 12,  8, 11 },
  {  6, 10, 12,  4,  6, 12,  8,  4, 12, 11,  8, 12,  2, 11, 12,  0,  2, 12,  9,  0, 12, 10,  9, 12 },
  { 12,  7,  4, 12,  4,  0, 12,  0,  1, 12,  1,  5, 12,  5,  6, 12,  6,  2, 12,  2,  3, 12,  3,  7 },
  { 12,  7, 11, 12, 11, 10, 12, 10,  1, 12,  1,  3, 12,  3,  8, 12,  8,  9, 12,  9,  5, 12,  5,  7 }
}

tiling table for case 10.2 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling11

std::int8_t amrex::MC::LookUpTable::tiling11[12][12]

Initial value:

= {
  { 2, 10,  9,  2,  9,  7,  2,  7,  3,  7,  9,  4 },
  { 1,  6,  2,  1,  8,  6,  1,  9,  8,  8,  7,  6 },
  { 8,  3,  1,  8,  1,  6,  8,  6,  4,  6,  1, 10 },
  { 0,  8, 11,  0, 11,  5,  0,  5,  1,  5, 11,  6 },
  { 9,  5,  7,  9,  7,  2,  9,  2,  0,  2,  7, 11 },
  { 5,  0,  4,  5, 11,  0,  5, 10, 11, 11,  3,  0 },
  { 5,  4,  0,  5,  0, 11,  5, 11, 10, 11,  0,  3 },
  { 9,  7,  5,  9,  2,  7,  9,  0,  2,  2, 11,  7 },
  { 0, 11,  8,  0,  5, 11,  0,  1,  5,  5,  6, 11 },
  { 8,  1,  3,  8,  6,  1,  8,  4,  6,  6, 10,  1 },
  { 1,  2,  6,  1,  6,  8,  1,  8,  9,  8,  6,  7 },
  { 2,  9, 10,  2,  7,  9,  2,  3,  7,  7,  4,  9 }
}

tiling table for case 11 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling12_1_1

std::int8_t amrex::MC::LookUpTable::tiling12_1_1[24][12]

Initial value:

= {
  {  7,  6, 11, 10,  3,  2,  3, 10,  8,  9,  8, 10 },
  {  6,  5, 10,  9,  2,  1,  2,  9, 11,  8, 11,  9 },
  { 10,  6,  5,  7,  9,  4,  9,  7,  1,  3,  1,  7 },
  {  7,  6, 11,  4,  8,  5,  3,  5,  8,  5,  3,  1 },
  {  5,  4,  9,  8,  1,  0,  1,  8, 10, 11, 10,  8 },
  {  1,  2, 10,  0,  9,  3,  5,  3,  9,  3,  5,  7 },
  { 10,  1,  2,  0, 11,  3, 11,  0,  6,  4,  6,  0 },
  {  8,  3,  0,  2,  9,  1,  9,  2,  4,  6,  4,  2 },
  {  3,  0,  8,  2, 11,  1,  7,  1, 11,  1,  7,  5 },
  {  6,  5, 10,  7, 11,  4,  2,  4, 11,  4,  2,  0 },
  {  9,  5,  4,  6,  8,  7,  8,  6,  0,  2,  0,  6 },
  {  8,  3,  0,  7,  4, 11,  9, 11,  4, 11,  9, 10 },
  {  4,  7,  8, 11,  0,  3,  0, 11,  9, 10,  9, 11 },
  {  4,  7,  8,  5,  9,  6,  0,  6,  9,  6,  0,  2 },
  { 11,  7,  6,  4, 10,  5, 10,  4,  2,  0,  2,  4 },
  { 11,  2,  3,  1,  8,  0,  8,  1,  7,  5,  7,  1 },
  {  0,  1,  9,  3,  8,  2,  4,  2,  8,  2,  4,  6 },
  {  2,  3, 11,  1, 10,  0,  6,  0, 10,  0,  6,  4 },
  {  9,  0,  1,  3, 10,  2, 10,  3,  5,  7,  5,  3 },
  {  9,  0,  1,  4,  5,  8, 10,  8,  5,  8, 10, 11 },
  {  8,  4,  7,  5, 11,  6, 11,  5,  3,  1,  3,  5 },
  {  5,  4,  9,  6, 10,  7,  1,  7, 10,  7,  1,  3 },
  { 10,  1,  2,  5,  6,  9, 11,  9,  6,  9, 11,  8 },
  { 11,  2,  3,  6,  7, 10,  8, 10,  7, 10,  8,  9 }
}

tiling table for case 12.1.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling12_1_1_

std::int8_t amrex::MC::LookUpTable::tiling12_1_1_[24][12]

Initial value:

= {
  {  3,  2, 11, 10,  7,  6,  7, 10,  8,  9,  8, 10 },
  {  2,  1, 10,  9,  6,  5,  6,  9, 11,  8, 11,  9 },
  {  9,  4,  5,  7, 10,  6, 10,  7,  1,  3,  1,  7 },
  {  7,  4,  8,  6, 11,  5,  3,  5, 11,  5,  3,  1 },
  {  1,  0,  9,  8,  5,  4,  5,  8, 10, 11, 10,  8 },
  {  1,  0,  9,  2, 10,  3,  5,  3, 10,  3,  5,  7 },
  { 11,  3,  2,  0, 10,  1, 10,  0,  6,  4,  6,  0 },
  {  9,  1,  0,  2,  8,  3,  8,  2,  4,  6,  4,  2 },
  {  3,  2, 11,  0,  8,  1,  7,  1,  8,  1,  7,  5 },
  {  6,  7, 11,  5, 10,  4,  2,  4, 10,  4,  2,  0 },
  {  8,  7,  4,  6,  9,  5,  9,  6,  0,  2,  0,  6 },
  {  8,  7,  4,  3,  0, 11,  9, 11,  0, 11,  9, 10 },
  {  0,  3,  8, 11,  4,  7,  4, 11,  9, 10,  9, 11 },
  {  4,  5,  9,  7,  8,  6,  0,  6,  8,  6,  0,  2 },
  { 10,  5,  6,  4, 11,  7, 11,  4,  2,  0,  2,  4 },
  {  8,  0,  3,  1, 11,  2, 11,  1,  7,  5,  7,  1 },
  {  0,  3,  8,  1,  9,  2,  4,  2,  9,  2,  4,  6 },
  {  2,  1, 10,  3, 11,  0,  6,  0, 11,  0,  6,  4 },
  { 10,  2,  1,  3,  9,  0,  9,  3,  5,  7,  5,  3 },
  {  9,  4,  5,  0,  1,  8, 10,  8,  1,  8, 10, 11 },
  { 11,  6,  7,  5,  8,  4,  8,  5,  3,  1,  3,  5 },
  {  5,  6, 10,  4,  9,  7,  1,  7,  9,  7,  1,  3 },
  { 10,  5,  6,  1,  2,  9, 11,  9,  2,  9, 11,  8 },
  { 11,  6,  7,  2,  3, 10,  8, 10,  3, 10,  8,  9 }
}

tiling table for case 12.1.1 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling12_1_2

std::int8_t amrex::MC::LookUpTable::tiling12_1_2[24][24]

Initial value:

= {
  {  7,  3, 11,  3,  7,  8,  9,  8,  7,  6,  9,  7,  9,  6, 10,  2, 10,  6, 11,  2,  6,  2, 11,  3 },
  {  6,  2, 10,  2,  6, 11,  8, 11,  6,  5,  8,  6,  8,  5,  9,  1,  9,  5, 10,  1,  5,  1, 10,  2 },
  { 10,  9,  5,  9, 10,  1,  3,  1, 10,  6,  3, 10,  3,  6,  7,  4,  7,  6,  5,  4,  6,  4,  5,  9 },
  {  7,  8, 11,  3, 11,  8, 11,  3,  1, 11,  1,  6,  5,  6,  1,  6,  5,  4,  6,  4,  7,  8,  7,  4 },
  {  5,  1,  9,  1,  5, 10, 11, 10,  5,  4, 11,  5, 11,  4,  8,  0,  8,  4,  9,  0,  4,  0,  9,  1 },
  {  1,  9, 10,  5, 10,  9, 10,  5,  7, 10,  7,  2,  3,  2,  7,  2,  3,  0,  2,  0,  1,  9,  1,  0 },
  { 10, 11,  2, 11, 10,  6,  4,  6, 10,  1,  4, 10,  4,  1,  0,  3,  0,  1,  2,  3,  1,  3,  2, 11 },
  {  8,  9,  0,  9,  8,  4,  6,  4,  8,  3,  6,  8,  6,  3,  2,  1,  2,  3,  0,  1,  3,  1,  0,  9 },
  {  3, 11,  8,  7,  8, 11,  8,  7,  5,  8,  5,  0,  1,  0,  5,  0,  1,  2,  0,  2,  3, 11,  3,  2 },
  {  6, 11, 10,  2, 10, 11, 10,  2,  0, 10,  0,  5,  4,  5,  0,  5,  4,  7,  5,  7,  6, 11,  6,  7 },
  {  9,  8,  4,  8,  9,  0,  2,  0,  9,  5,  2,  9,  2,  5,  6,  7,  6,  5,  4,  7,  5,  7,  4,  8 },
  {  8,  4,  0,  9,  0,  4,  0,  9, 10,  0, 10,  3, 11,  3, 10,  3, 11,  7,  3,  7,  8,  4,  8,  7 },
  {  4,  0,  8,  0,  4,  9, 10,  9,  4,  7, 10,  4, 10,  7, 11,  3, 11,  7,  8,  3,  7,  3,  8,  0 },
  {  4,  9,  8,  0,  8,  9,  8,  0,  2,  8,  2,  7,  6,  7,  2,  7,  6,  5,  7,  5,  4,  9,  4,  5 },
  { 11, 10,  6, 10, 11,  2,  0,  2, 11,  7,  0, 11,  0,  7,  4,  5,  4,  7,  6,  5,  7,  5,  6, 10 },
  { 11,  8,  3,  8, 11,  7,  5,  7, 11,  2,  5, 11,  5,  2,  1,  0,  1,  2,  3,  0,  2,  0,  3,  8 },
  {  0,  8,  9,  4,  9,  8,  9,  4,  6,  9,  6,  1,  2,  1,  6,  1,  2,  3,  1,  3,  0,  8,  0,  3 },
  {  2, 10, 11,  6, 11, 10, 11,  6,  4, 11,  4,  3,  0,  3,  4,  3,  0,  1,  3,  1,  2, 10,  2,  1 },
  {  9, 10,  1, 10,  9,  5,  7,  5,  9,  0,  7,  9,  7,  0,  3,  2,  3,  0,  1,  2,  0,  2,  1, 10 },
  {  9,  5,  1, 10,  1,  5,  1, 10, 11,  1, 11,  0,  8,  0, 11,  0,  8,  4,  0,  4,  9,  5,  9,  4 },
  {  8, 11,  7, 11,  8,  3,  1,  3,  8,  4,  1,  8,  1,  4,  5,  6,  5,  4,  7,  6,  4,  6,  7, 11 },
  {  5, 10,  9,  1,  9, 10,  9,  1,  3,  9,  3,  4,  7,  4,  3,  4,  7,  6,  4,  6,  5, 10,  5,  6 },
  { 10,  6,  2, 11,  2,  6,  2, 11,  8,  2,  8,  1,  9,  1,  8,  1,  9,  5,  1,  5, 10,  6, 10,  5 },
  { 11,  7,  3,  8,  3,  7,  3,  8,  9,  3,  9,  2, 10,  2,  9,  2, 10,  6,  2,  6, 11,  7, 11,  6 }
}

tiling table for case 12.1.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling12_2

std::int8_t amrex::MC::LookUpTable::tiling12_2[24][24]

Initial value:

= {
  {   9,  8, 12, 10,  9, 12,  2, 10, 12,  3,  2, 12, 11,  3, 12,  6, 11, 12,  7,  6, 12,  8,  7, 12 },
  {   8, 11, 12,  9,  8, 12,  1,  9, 12,  2,  1, 12, 10,  2, 12,  5, 10, 12,  6,  5, 12, 11,  6, 12 },
  {   3,  1, 12,  7,  3, 12,  4,  7, 12,  9,  4, 12,  5,  9, 12,  6,  5, 12, 10,  6, 12,  1, 10, 12 },
  {  12,  3,  1, 12,  1,  5, 12,  5,  6, 12,  6, 11, 12, 11,  7, 12,  7,  4, 12,  4,  8, 12,  8,  3 },
  {  11, 10, 12,  8, 11, 12,  0,  8, 12,  1,  0, 12,  9,  1, 12,  4,  9, 12,  5,  4, 12, 10,  5, 12 },
  {  12,  5,  7, 12,  7,  3, 12,  3,  2, 12,  2, 10, 12, 10,  1, 12,  1,  0, 12,  0,  9, 12,  9,  5 },
  {   4,  6, 12,  0,  4, 12,  1,  0, 12, 10,  1, 12,  2, 10, 12,  3,  2, 12, 11,  3, 12,  6, 11, 12 },
  {   6,  4, 12,  2,  6, 12,  3,  2, 12,  8,  3, 12,  0,  8, 12,  1,  0, 12,  9,  1, 12,  4,  9, 12 },
  {  12,  7,  5, 12,  5,  1, 12,  1,  0, 12,  0,  8, 12,  8,  3, 12,  3,  2, 12,  2, 11, 12, 11,  7 },
  {  12,  2,  0, 12,  0,  4, 12,  4,  5, 12,  5, 10, 12, 10,  6, 12,  6,  7, 12,  7, 11, 12, 11,  2 },
  {   2,  0, 12,  6,  2, 12,  7,  6, 12,  8,  7, 12,  4,  8, 12,  5,  4, 12,  9,  5, 12,  0,  9, 12 },
  {  12,  9, 10, 12, 10, 11, 12, 11,  7, 12,  7,  4, 12,  4,  8, 12,  8,  3, 12,  3,  0, 12,  0,  9 },
  {  10,  9, 12, 11, 10, 12,  7, 11, 12,  4,  7, 12,  8,  4, 12,  3,  8, 12,  0,  3, 12,  9,  0, 12 },
  {  12,  0,  2, 12,  2,  6, 12,  6,  7, 12,  7,  8, 12,  8,  4, 12,  4,  5, 12,  5,  9, 12,  9,  0 },
  {   0,  2, 12,  4,  0, 12,  5,  4, 12, 10,  5, 12,  6, 10, 12,  7,  6, 12, 11,  7, 12,  2, 11, 12 },
  {   5,  7, 12,  1,  5, 12,  0,  1, 12,  8,  0, 12,  3,  8, 12,  2,  3, 12, 11,  2, 12,  7, 11, 12 },
  {  12,  4,  6, 12,  6,  2, 12,  2,  3, 12,  3,  8, 12,  8,  0, 12,  0,  1, 12,  1,  9, 12,  9,  4 },
  {  12,  6,  4, 12,  4,  0, 12,  0,  1, 12,  1, 10, 12, 10,  2, 12,  2,  3, 12,  3, 11, 12, 11,  6 },
  {   7,  5, 12,  3,  7, 12,  2,  3, 12, 10,  2, 12,  1, 10, 12,  0,  1, 12,  9,  0, 12,  5,  9, 12 },
  {  12, 10, 11, 12, 11,  8, 12,  8,  0, 12,  0,  1, 12,  1,  9, 12,  9,  4, 12,  4,  5, 12,  5, 10 },
  {   1,  3, 12,  5,  1, 12,  6,  5, 12, 11,  6, 12,  7, 11, 12,  4,  7, 12,  8,  4, 12,  3,  8, 12 },
  {  12,  1,  3, 12,  3,  7, 12,  7,  4, 12,  4,  9, 12,  9,  5, 12,  5,  6, 12,  6, 10, 12, 10,  1 },
  {  12, 11,  8, 12,  8,  9, 12,  9,  1, 12,  1,  2, 12,  2, 10, 12, 10,  5, 12,  5,  6, 12,  6, 11 },
  {  12,  8,  9, 12,  9, 10, 12, 10,  2, 12,  2,  3, 12,  3, 11, 12, 11,  6, 12,  6,  7, 12,  7,  8 }
}

tiling table for case 12.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling12_2_

std::int8_t amrex::MC::LookUpTable::tiling12_2_[24][24]

Initial value:

= {
  { 12,  2, 11, 12, 11,  7, 12,  7,  6, 12,  6, 10, 12, 10,  9, 12,  9,  8, 12,  8,  3, 12,  3,  2 },
  { 12,  1, 10, 12, 10,  6, 12,  6,  5, 12,  5,  9, 12,  9,  8, 12,  8, 11, 12, 11,  2, 12,  2,  1 },
  { 12,  4,  5, 12,  5, 10, 12, 10,  6, 12,  6,  7, 12,  7,  3, 12,  3,  1, 12,  1,  9, 12,  9,  4 },
  {  7,  6, 12,  8,  7, 12,  4,  8, 12,  5,  4, 12,  1,  5, 12,  3,  1, 12, 11,  3, 12,  6, 11, 12 },
  { 12,  0,  9, 12,  9,  5, 12,  5,  4, 12,  4,  8, 12,  8, 11, 12, 11, 10, 12, 10,  1, 12,  1,  0 },
  {  1,  2, 12,  9,  1, 12,  0,  9, 12,  3,  0, 12,  7,  3, 12,  5,  7, 12, 10,  5, 12,  2, 10, 12 },
  { 12,  1,  2, 12,  2, 11, 12, 11,  3, 12,  3,  0, 12,  0,  4, 12,  4,  6, 12,  6, 10, 12, 10,  1 },
  { 12,  3,  0, 12,  0,  9, 12,  9,  1, 12,  1,  2, 12,  2,  6, 12,  6,  4, 12,  4,  8, 12,  8,  3 },
  {  3,  0, 12, 11,  3, 12,  2, 11, 12,  1,  2, 12,  5,  1, 12,  7,  5, 12,  8,  7, 12,  0,  8, 12 },
  {  6,  5, 12, 11,  6, 12,  7, 11, 12,  4,  7, 12,  0,  4, 12,  2,  0, 12, 10,  2, 12,  5, 10, 12 },
  { 12,  7,  4, 12,  4,  9, 12,  9,  5, 12,  5,  6, 12,  6,  2, 12,  2,  0, 12,  0,  8, 12,  8,  7 },
  {  8,  7, 12,  0,  8, 12,  3,  0, 12, 11,  3, 12, 10, 11, 12,  9, 10, 12,  4,  9, 12,  7,  4, 12 },
  { 12,  7,  8, 12,  8,  0, 12,  0,  3, 12,  3, 11, 12, 11, 10, 12, 10,  9, 12,  9,  4, 12,  4,  7 },
  {  4,  7, 12,  9,  4, 12,  5,  9, 12,  6,  5, 12,  2,  6, 12,  0,  2, 12,  8,  0, 12,  7,  8, 12 },
  { 12,  5,  6, 12,  6, 11, 12, 11,  7, 12,  7,  4, 12,  4,  0, 12,  0,  2, 12,  2, 10, 12, 10,  5 },
  { 12,  0,  3, 12,  3, 11, 12, 11,  2, 12,  2,  1, 12,  1,  5, 12,  5,  7, 12,  7,  8, 12,  8,  0 },
  {  0,  3, 12,  9,  0, 12,  1,  9, 12,  2,  1, 12,  6,  2, 12,  4,  6, 12,  8,  4, 12,  3,  8, 12 },
  {  2,  1, 12, 11,  2, 12,  3, 11, 12,  0,  3, 12,  4,  0, 12,  6,  4, 12, 10,  6, 12,  1, 10, 12 },
  { 12,  2,  1, 12,  1,  9, 12,  9,  0, 12,  0,  3, 12,  3,  7, 12,  7,  5, 12,  5, 10, 12, 10,  2 },
  {  9,  0, 12,  5,  9, 12,  4,  5, 12,  8,  4, 12, 11,  8, 12, 10, 11, 12,  1, 10, 12,  0,  1, 12 },
  { 12,  6,  7, 12,  7,  8, 12,  8,  4, 12,  4,  5, 12,  5,  1, 12,  1,  3, 12,  3, 11, 12, 11,  6 },
  {  5,  4, 12, 10,  5, 12,  6, 10, 12,  7,  6, 12,  3,  7, 12,  1,  3, 12,  9,  1, 12,  4,  9, 12 },
  { 10,  1, 12,  6, 10, 12,  5,  6, 12,  9,  5, 12,  8,  9, 12, 11,  8, 12,  2, 11, 12,  1,  2, 12 },
  { 11,  2, 12,  7, 11, 12,  6,  7, 12, 10,  6, 12,  9, 10, 12,  8,  9, 12,  3,  8, 12,  2,  3, 12 }
}

tiling table for case 12.2 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling13_1

std::int8_t amrex::MC::LookUpTable::tiling13_1[2][12]

Initial value:

= {
  { 11,  7,  6,  1,  2, 10,  8,  3,  0,  9,  5, 4 },
  {  8,  4,  7,  2,  3, 11,  9,  0,  1, 10,  6, 5 }
}

tiling table for case 13.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling13_1_

std::int8_t amrex::MC::LookUpTable::tiling13_1_[2][12]

Initial value:

= {
  { 7,  4,  8, 11,  3,  2,  1,  0,  9,  5,  6, 10 },
  { 6,  7, 11, 10,  2,  1,  0,  3,  8,  4,  5,  9 }
}

tiling table for case 13.1 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling13_2

std::int8_t amrex::MC::LookUpTable::tiling13_2[2][6][18]

Initial value:

= {
  {
  { 1,  2, 10, 11,  7,  6,  3,  4,  8,  4,  3,  5,  0,  5,  3,  5,  0,  9 },
  { 8,  3,  0, 11,  7,  6,  9,  1,  4,  2,  4,  1,  4,  2,  5, 10,  5,  2 },
  { 9,  5,  4,  8,  3,  0,  1,  6, 10,  6,  1,  7,  2,  7,  1,  7,  2, 11 },
  { 9,  5,  4,  1,  2, 10, 11,  3,  6,  0,  6,  3,  6,  0,  7,  8,  7,  0 },
  { 9,  5,  4, 11,  7,  6,  0, 10,  1, 10,  0,  8, 10,  8,  2,  3,  2,  8 },
  { 1,  2, 10,  3,  0,  8,  4,  9,  7, 11,  7,  9,  5, 11,  9, 11,  5,  6 }
},
  {
  { 2,  3, 11,  8,  4,  7,  0,  5,  9,  5,  0,  6,  1,  6,  0,  6,  1, 10 },
  { 9,  0,  1,  8,  4,  7, 10,  2,  5,  3,  5,  2,  5,  3,  6, 11,  6,  3 },
  { 6,  5, 10,  9,  0,  1,  2,  7, 11,  7,  2,  4,  3,  4,  2,  4,  3,  8 },
  { 6,  5, 10,  2,  3, 11,  8,  0,  7,  1,  7,  0,  7,  1,  4,  9,  4,  1 },
  { 6,  5, 10,  8,  4,  7,  1, 11,  2, 11,  1,  9, 11,  9,  3,  0,  3,  9 },
  { 2,  3, 11,  0,  1,  9,  5, 10,  4,  8,  4, 10,  6,  8, 10,  8,  6,  7 }
} }

tiling table for case 13.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling13_2_

std::int8_t amrex::MC::LookUpTable::tiling13_2_[2][6][18]

Initial value:

= {
  {
  { 10,  5,  6, 11,  3,  2,  7,  0,  8,  0,  7,  1,  4,  1,  7,  1,  4,  9 },
  { 11,  3,  2,  7,  4,  8,  9,  5,  0,  6,  0,  5,  0,  6,  1, 10,  1,  6 },
  {  1,  0,  9,  7,  4,  8,  5,  2, 10,  2,  5,  3,  6,  3,  5,  3,  6, 11 },
  { 10,  5,  6,  1,  0,  9, 11,  7,  2,  4,  2,  7,  2,  4,  3,  8,  3,  4 },
  { 10,  5,  6,  7,  4,  8,  2, 11,  1,  9,  1, 11,  3,  9, 11,  9,  3,  0 },
  { 11,  3,  2,  9,  1,  0,  4, 10,  5, 10,  4,  8, 10,  8,  6,  7,  6,  8 }
},
  {
  {  6,  7, 11,  8,  0,  3,  4,  1,  9,  1,  4,  2,  5,  2,  4,  2,  5, 10 },
  {  8,  0,  3,  4,  5,  9, 10,  6,  1,  7,  1,  6,  1,  7,  2, 11,  2,  7 },
  {  2,  1, 10,  4,  5,  9,  6,  3, 11,  3,  6,  0,  7,  0,  6,  0,  7,  8 },
  {  6,  7, 11,  2,  1, 10,  8,  4,  3,  5,  3,  4,  3,  5,  0,  9,  0,  5 },
  {  6,  7, 11,  4,  5,  9,  3,  8,  2, 10,  2,  8,  0, 10,  8, 10,  0,  1 },
  {  8,  0,  3, 10,  2,  1,  5, 11,  6, 11,  5,  9, 11,  9,  7,  4,  7,  9 }
} }

tiling table for case 13.2 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling13_3

std::int8_t amrex::MC::LookUpTable::tiling13_3[2][12][30]

Initial value:

= {
  {
  { 11,  7,  6, 12,  2, 10, 12, 10,  5, 12,  5,  4, 12,  4,  8, 12,  8,  3, 12,  3,  0, 12,  0,  9, 12,  9,  1, 12,  1,  2 },
  {  1,  2, 10,  9,  5, 12,  0,  9, 12,  3,  0, 12, 11,  3, 12,  6, 11, 12,  7,  6, 12,  8,  7, 12,  4,  8, 12,  5,  4, 12 },
  { 11,  7,  6, 12,  5,  4, 12,  4,  8, 12,  8,  3, 12,  3,  2, 12,  2, 10, 12, 10,  1, 12,  1,  0, 12,  0,  9, 12,  9,  5 },
  {  1,  2, 10, 12,  3,  0, 12,  0,  9, 12,  9,  5, 12,  5,  6, 12,  6, 11, 12, 11,  7, 12,  7,  4, 12,  4,  8, 12,  8,  3 },
  {  8,  3,  0, 11,  7, 12,  2, 11, 12,  1,  2, 12,  9,  1, 12,  4,  9, 12,  5,  4, 12, 10,  5, 12,  6, 10, 12,  7,  6, 12 },
  { 11,  7,  6,  5,  4, 12, 10,  5, 12,  2, 10, 12,  3,  2, 12,  8,  3, 12,  0,  8, 12,  1,  0, 12,  9,  1, 12,  4,  9, 12 },
  {  8,  3,  0,  1,  2, 12,  9,  1, 12,  4,  9, 12,  7,  4, 12, 11,  7, 12,  6, 11, 12,  5,  6, 12, 10,  5, 12,  2, 10, 12 },
  {  9,  5,  4, 12,  0,  8, 12,  8,  7, 12,  7,  6, 12,  6, 10, 12, 10,  1, 12,  1,  2, 12,  2, 11, 12, 11,  3, 12,  3,  0 },
  {  9,  5,  4, 12,  7,  6, 12,  6, 10, 12, 10,  1, 12,  1,  0, 12,  0,  8, 12,  8,  3, 12,  3,  2, 12,  2, 11, 12, 11,  7 },
  {  8,  3,  0, 12,  1,  2, 12,  2, 11, 12, 11,  7, 12,  7,  4, 12,  4,  9, 12,  9,  5, 12,  5,  6, 12,  6, 10, 12, 10,  1 },
  {  9,  5,  4,  7,  6, 12,  8,  7, 12,  0,  8, 12,  1,  0, 12, 10,  1, 12,  2, 10, 12,  3,  2, 12, 11,  3, 12,  6, 11, 12 },
  {  1,  2, 10,  3,  0, 12, 11,  3, 12,  6, 11, 12,  5,  6, 12,  9,  5, 12,  4,  9, 12,  7,  4, 12,  8,  7, 12,  0,  8, 12 }
},
  {
  {  8,  4,  7, 12,  3, 11, 12, 11,  6, 12,  6,  5, 12,  5,  9, 12,  9,  0, 12,  0,  1, 12,  1, 10, 12, 10,  2, 12,  2,  3 },
  {  2,  3, 11, 10,  6, 12,  1, 10, 12,  0,  1, 12,  8,  0, 12,  7,  8, 12,  4,  7, 12,  9,  4, 12,  5,  9, 12,  6,  5, 12 },
  {  8,  4,  7, 12,  6,  5, 12,  5,  9, 12,  9,  0, 12,  0,  3, 12,  3, 11, 12, 11,  2, 12,  2,  1, 12,  1, 10, 12, 10,  6 },
  {  2,  3, 11, 12,  0,  1, 12,  1, 10, 12, 10,  6, 12,  6,  7, 12,  7,  8, 12,  8,  4, 12,  4,  5, 12,  5,  9, 12,  9,  0 },
  {  0,  1,  9,  8,  4, 12,  3,  8, 12,  2,  3, 12, 10,  2, 12,  5, 10, 12,  6,  5, 12, 11,  6, 12,  7, 11, 12,  4,  7, 12 },
  {  8,  4,  7,  6,  5, 12, 11,  6, 12,  3, 11, 12,  0,  3, 12,  9,  0, 12,  1,  9, 12,  2,  1, 12, 10,  2, 12,  5, 10, 12 },
  {  9,  0,  1,  2,  3, 12, 10,  2, 12,  5, 10, 12,  4,  5, 12,  8,  4, 12,  7,  8, 12,  6,  7, 12, 11,  6, 12,  3, 11, 12 },
  {  6,  5, 10, 12,  1,  9, 12,  9,  4, 12,  4,  7, 12,  7, 11, 12, 11,  2, 12,  2,  3, 12,  3,  8, 12,  8,  0, 12,  0,  1 },
  {  6,  5, 10, 12,  4,  7, 12,  7, 11, 12, 11,  2, 12,  2,  1, 12,  1,  9, 12,  9,  0, 12,  0,  3, 12,  3,  8, 12,  8,  4 },
  {  9,  0,  1, 12,  2,  3, 12,  3,  8, 12,  8,  4, 12,  4,  5, 12,  5, 10, 12, 10,  6, 12,  6,  7, 12,  7, 11, 12, 11,  2 },
  {  6,  5, 10,  4,  7, 12,  9,  4, 12,  1,  9, 12,  2,  1, 12, 11,  2, 12,  3, 11, 12,  0,  3, 12,  8,  0, 12,  7,  8, 12 },
  {  2,  3, 11,  0,  1, 12,  8,  0, 12,  7,  8, 12,  6,  7, 12, 10,  6, 12,  5, 10, 12,  4,  5, 12,  9,  4, 12,  1,  9, 12 }
} }

tiling table for case 13.3 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling13_3_

std::int8_t amrex::MC::LookUpTable::tiling13_3_[2][12][30]

Initial value:

= {
  {
  {  3,  2, 11,  8,  7, 12,  0,  8, 12,  1,  0, 12, 10,  1, 12,  6, 10, 12,  5,  6, 12,  9,  5, 12,  4,  9, 12,  7,  4, 12 },
  {  5,  6, 10, 12,  2, 11, 12, 11,  7, 12,  7,  4, 12,  4,  9, 12,  9,  1, 12,  1,  0, 12,  0,  8, 12,  8,  3, 12,  3,  2 },
  { 10,  5,  6, 12,  7,  4, 12,  4,  9, 12,  9,  1, 12,  1,  2, 12,  2, 11, 12, 11,  3, 12,  3,  0, 12,  0,  8, 12,  8,  7 },
  { 11,  3,  2, 12,  1,  0, 12,  0,  8, 12,  8,  7, 12,  7,  6, 12,  6, 10, 12, 10,  5, 12,  5,  4, 12,  4,  9, 12,  9,  1 },
  {  7,  4,  8, 11,  3, 12,  6, 11, 12,  5,  6, 12,  9,  5, 12,  0,  9, 12,  1,  0, 12, 10,  1, 12,  2, 10, 12,  3,  2, 12 },
  {  7,  4,  8,  5,  6, 12,  9,  5, 12,  0,  9, 12,  3,  0, 12, 11,  3, 12,  2, 11, 12,  1,  2, 12, 10,  1, 12,  6, 10, 12 },
  { 11,  3,  2,  1,  0, 12, 10,  1, 12,  6, 10, 12,  7,  6, 12,  8,  7, 12,  4,  8, 12,  5,  4, 12,  9,  5, 12,  0,  9, 12 },
  {  1,  0,  9, 12,  4,  8, 12,  8,  3, 12,  3,  2, 12,  2, 10, 12, 10,  5, 12,  5,  6, 12,  6, 11, 12, 11,  7, 12,  7,  4 },
  {  7,  4,  8, 12,  5,  6, 12,  6, 11, 12, 11,  3, 12,  3,  0, 12,  0,  9, 12,  9,  1, 12,  1,  2, 12,  2, 10, 12, 10,  5 },
  {  1,  0,  9, 12,  3,  2, 12,  2, 10, 12, 10,  5, 12,  5,  4, 12,  4,  8, 12,  8,  7, 12,  7,  6, 12,  6, 11, 12, 11,  3 },
  { 10,  5,  6,  7,  4, 12, 11,  7, 12,  2, 11, 12,  1,  2, 12,  9,  1, 12,  0,  9, 12,  3,  0, 12,  8,  3, 12,  4,  8, 12 },
  {  9,  1,  0,  3,  2, 12,  8,  3, 12,  4,  8, 12,  5,  4, 12, 10,  5, 12,  6, 10, 12,  7,  6, 12, 11,  7, 12,  2, 11, 12 }
},
  {
  {  0,  3,  8,  9,  4, 12,  1,  9, 12,  2,  1, 12, 11,  2, 12,  7, 11, 12,  6,  7, 12, 10,  6, 12,  5, 10, 12,  4,  5, 12 },
  { 11,  6,  7, 12,  3,  8, 12,  8,  4, 12,  4,  5, 12,  5, 10, 12, 10,  2, 12,  2,  1, 12,  1,  9, 12,  9,  0, 12,  0,  3 },
  {  6,  7, 11, 12,  4,  5, 12,  5, 10, 12, 10,  2, 12,  2,  3, 12,  3,  8, 12,  8,  0, 12,  0,  1, 12,  1,  9, 12,  9,  4 },
  {  8,  0,  3, 12,  2,  1, 12,  1,  9, 12,  9,  4, 12,  4,  7, 12,  7, 11, 12, 11,  6, 12,  6,  5, 12,  5, 10, 12, 10,  2 },
  {  4,  5,  9,  8,  0, 12,  7,  8, 12,  6,  7, 12, 10,  6, 12,  1, 10, 12,  2,  1, 12, 11,  2, 12,  3, 11, 12,  0,  3, 12 },
  {  4,  5,  9,  6,  7, 12, 10,  6, 12,  1, 10, 12,  0,  1, 12,  8,  0, 12,  3,  8, 12,  2,  3, 12, 11,  2, 12,  7, 11, 12 },
  {  8,  0,  3,  2,  1, 12, 11,  2, 12,  7, 11, 12,  4,  7, 12,  9,  4, 12,  5,  9, 12,  6,  5, 12, 10,  6, 12,  1, 10, 12 },
  {  2,  1, 10, 12,  5,  9, 12,  9,  0, 12,  0,  3, 12,  3, 11, 12, 11,  6, 12,  6,  7, 12,  7,  8, 12,  8,  4, 12,  4,  5 },
  {  4,  5,  9, 12,  6,  7, 12,  7,  8, 12,  8,  0, 12,  0,  1, 12,  1, 10, 12, 10,  2, 12,  2,  3, 12,  3, 11, 12, 11,  6 },
  {  2,  1, 10, 12,  0,  3, 12,  3, 11, 12, 11,  6, 12,  6,  5, 12,  5,  9, 12,  9,  4, 12,  4,  7, 12,  7,  8, 12,  8,  0 },
  {  6,  7, 11,  4,  5, 12,  8,  4, 12,  3,  8, 12,  2,  3, 12, 10,  2, 12,  1, 10, 12,  0,  1, 12,  9,  0, 12,  5,  9, 12 },
  { 10,  2,  1,  0,  3, 12,  9,  0, 12,  5,  9, 12,  6,  5, 12, 11,  6, 12,  7, 11, 12,  4,  7, 12,  8,  4, 12,  3,  8, 12 }
} }

tiling table for case 13.3, inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling13_4

std::int8_t amrex::MC::LookUpTable::tiling13_4[2][4][36]

Initial value:

= {
  {
  { 12,  2, 10, 12, 10,  5, 12,  5,  6, 12,  6, 11, 12, 11,  7, 12,  7,  4, 12,  4,  8, 12,  8,  3, 12,  3,  0, 12,  0,  9, 12,  9,  1, 12,  1,  2 },
  { 11,  3, 12,  6, 11, 12,  7,  6, 12,  8,  7, 12,  4,  8, 12,  5,  4, 12,  9,  5, 12,  0,  9, 12,  1,  0, 12, 10,  1, 12,  2, 10, 12,  3,  2, 12 },
  {  9,  1, 12,  4,  9, 12,  5,  4, 12, 10,  5, 12,  6, 10, 12,  7,  6, 12, 11,  7, 12,  2, 11, 12,  3,  2, 12,  8,  3, 12,  0,  8, 12,  1,  0, 12 },
  { 12,  0,  8, 12,  8,  7, 12,  7,  4, 12,  4,  9, 12,  9,  5, 12,  5,  6, 12,  6, 10, 12, 10,  1, 12,  1,  2, 12,  2, 11, 12, 11,  3, 12,  3,  0 }
},
  {
  { 12,  3, 11, 12, 11,  6, 12,  6,  7, 12,  7,  8, 12,  8,  4, 12,  4,  5, 12,  5,  9, 12,  9,  0, 12,  0,  1, 12,  1, 10, 12, 10,  2, 12,  2,  3 },
  {  8,  0, 12,  7,  8, 12,  4,  7, 12,  9,  4, 12,  5,  9, 12,  6,  5, 12, 10,  6, 12,  1, 10, 12,  2,  1, 12, 11,  2, 12,  3, 11, 12,  0,  3, 12 },
  { 10,  2, 12,  5, 10, 12,  6,  5, 12, 11,  6, 12,  7, 11, 12,  4,  7, 12,  8,  4, 12,  3,  8, 12,  0,  3, 12,  9,  0, 12,  1,  9, 12,  2,  1, 12 },
  { 12,  1,  9, 12,  9,  4, 12,  4,  5, 12,  5, 10, 12, 10,  6, 12,  6,  7, 12,  7, 11, 12, 11,  2, 12,  2,  3, 12,  3,  8, 12,  8,  0, 12,  0,  1 }
} }

tiling table for case 13.4 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling13_5_1

std::int8_t amrex::MC::LookUpTable::tiling13_5_1[2][4][18]

Initial value:

= {
  {
  {  7,  6, 11,  1,  0,  9, 10,  3,  2,  3, 10,  5,  3,  5,  8,  4,  8, 5 },
  {  1,  2, 10,  7,  4,  8,  3,  0, 11,  6, 11,  0,  9,  6,  0,  6,  9, 5 },
  {  3,  0,  8,  5,  6, 10,  1,  2,  9,  4,  9,  2, 11,  4,  2,  4, 11, 7 },
  {  5,  4,  9,  3,  2, 11,  8,  1,  0,  1,  8,  7,  1,  7, 10,  6, 10, 7 }
},
  {
  {  4,  7,  8,  2,  1, 10, 11,  0,  3,  0, 11,  6,  0,  6,  9,  5,  9, 6 },
  {  2,  3, 11,  4,  5,  9,  0,  1,  8,  7,  8,  1, 10,  7,  1,  7, 10, 6 },
  {  0,  1,  9,  6,  7, 11,  2,  3, 10,  5, 10,  3,  8,  5,  3,  5,  8, 4 },
  {  6,  5, 10,  0,  3,  8,  9,  2,  1,  2,  9,  4,  2,  4, 11,  7, 11, 4 }
} }

tiling table for case 13.5.1 The support edge for the interior test is marked as the 1st column. For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling13_5_2

std::int8_t amrex::MC::LookUpTable::tiling13_5_2[2][4][30]

Initial value:

= {
  {
  { 1,  0,  9,  7,  4,  8,  7,  8,  3,  7,  3, 11,  2, 11,  3, 11,  2, 10, 11, 10,  6,  5,  6, 10,  6,  5,  7,  4,  7, 5 },
  { 7,  4,  8, 11,  3,  2,  6, 11,  2, 10,  6,  2,  6, 10,  5,  9,  5, 10,  1,  9, 10,  9,  1,  0,  2,  0,  1,  0,  2, 3 },
  { 5,  6, 10,  9,  1,  0,  4,  9,  0,  8,  4,  0,  4,  8,  7, 11,  7,  8,  3, 11,  8, 11,  3,  2,  0,  2,  3,  2,  0, 1 },
  { 3,  2, 11,  5,  6, 10,  5, 10,  1,  5,  1,  9,  0,  9,  1,  9,  0,  8,  9,  8,  4,  4,  8,  7,  4,  7,  5,  6,  5, 7 }
},
  {
  { 2,  1, 10,  4,  5,  9,  4,  9,  0,  4,  0,  8,  3,  8,  0,  8,  3, 11,  8, 11,  7,  6,  7, 11,  7,  6,  4,  5,  4, 6 },
  { 4,  5,  9,  8,  0,  3,  7,  8,  3, 11,  7,  3,  7, 11,  6, 10,  6, 11,  2, 10, 11, 10,  2,  1,  3,  1,  2,  1,  3, 0 },
  { 6,  7, 11, 10,  2,  1,  5, 10,  1,  9,  5,  1,  5,  9,  4,  8,  4,  9,  0,  8,  9,  8,  0,  3,  1,  3,  0,  3,  1, 2 },
  { 0,  3,  8,  6,  7, 11,  6, 11,  2,  6,  2, 10,  1, 10,  2, 10,  1,  9, 10,  9,  5,  5,  9,  4,  5,  4,  6,  7,  6, 4 }
} }

tiling table for case 13.5.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling14

std::int8_t amrex::MC::LookUpTable::tiling14[12][12]

Initial value:

= {
  {  5,  9,  8,  5,  8,  2,  5,  2,  6,  3,  2,  8 },
  {  2,  1,  5,  2,  5,  8,  2,  8, 11,  4,  8,  5 },
  {  9,  4,  6,  9,  6,  3,  9,  3,  1, 11,  3,  6 },
  {  1, 11, 10,  1,  4, 11,  1,  0,  4,  7, 11,  4 },
  {  8,  2,  0,  8,  5,  2,  8,  7,  5, 10,  2,  5 },
  {  0,  7,  3,  0, 10,  7,  0,  9, 10,  6,  7, 10 },
  {  0,  3,  7,  0,  7, 10,  0, 10,  9,  6, 10,  7 },
  {  8,  0,  2,  8,  2,  5,  8,  5,  7, 10,  5,  2 },
  {  1, 10, 11,  1, 11,  4,  1,  4,  0,  7,  4, 11 },
  {  9,  6,  4,  9,  3,  6,  9,  1,  3, 11,  6,  3 },
  {  2,  5,  1,  2,  8,  5,  2, 11,  8,  4,  5,  8 },
  {  5,  8,  9,  5,  2,  8,  5,  6,  2,  3,  8,  2 }
}

tiling table for case 14 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling2

std::int8_t amrex::MC::LookUpTable::tiling2[24][6]

Initial value:

= {
  {  1,  8,  3,  9,  8,  1 },
  {  0, 11,  2,  8, 11,  0 },
  {  4,  3,  0,  7,  3,  4 },
  {  9,  2, 10,  0,  2,  9 },
  {  0,  5,  4,  1,  5,  0 },
  {  3, 10,  1, 11, 10,  3 },
  {  1,  6,  5,  2,  6,  1 },
  {  7,  2,  3,  6,  2,  7 },
  {  9,  7,  8,  5,  7,  9 },
  {  6,  8,  4, 11,  8,  6 },
  { 10,  4,  9,  6,  4, 10 },
  { 11,  5, 10,  7,  5, 11 },
  { 11, 10,  5,  7, 11,  5 },
  { 10,  9,  4,  6, 10,  4 },
  {  6,  4,  8, 11,  6,  8 },
  {  9,  8,  7,  5,  9,  7 },
  {  7,  3,  2,  6,  7,  2 },
  {  1,  5,  6,  2,  1,  6 },
  {  3,  1, 10, 11,  3, 10 },
  {  0,  4,  5,  1,  0,  5 },
  {  9, 10,  2,  0,  9,  2 },
  {  4,  0,  3,  7,  4,  3 },
  {  0,  2, 11,  8,  0, 11 },
  {  1,  3,  8,  9,  1,  8 }
}

tiling table for case 2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling3_1

std::int8_t amrex::MC::LookUpTable::tiling3_1[24][6]

Initial value:

= {
  {  0,  8,  3,  1,  2, 10 },
  {  9,  5,  4,  0,  8,  3 },
  {  3,  0,  8, 11,  7,  6 },
  {  1,  9,  0,  2,  3, 11 },
  {  0,  1,  9,  8,  4,  7 },
  {  9,  0,  1,  5, 10,  6 },
  {  1,  2, 10,  9,  5,  4 },
  { 10,  1,  2,  6, 11,  7 },
  {  8,  4,  7,  3, 11,  2 },
  {  2,  3, 11, 10,  6,  5 },
  {  5, 10,  6,  4,  7,  8 },
  {  4,  9,  5,  7,  6, 11 },
  {  5,  9,  4, 11,  6,  7 },
  {  6, 10,  5,  8,  7,  4 },
  { 11,  3,  2,  5,  6, 10 },
  {  7,  4,  8,  2, 11,  3 },
  {  2,  1, 10,  7, 11,  6 },
  { 10,  2,  1,  4,  5,  9 },
  {  1,  0,  9,  6, 10,  5 },
  {  9,  1,  0,  7,  4,  8 },
  {  0,  9,  1, 11,  3,  2 },
  {  8,  0,  3,  6,  7, 11 },
  {  4,  5,  9,  3,  8,  0 },
  {  3,  8,  0, 10,  2,  1 }
}

tiling table for case 3.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling3_2

std::int8_t amrex::MC::LookUpTable::tiling3_2[24][12]

Initial value:

= {
  { 10,  3,  2, 10,  8,  3, 10,  1,  0,  8, 10,  0 },
  {  3,  4,  8,  3,  5,  4,  3,  0,  9,  5,  3,  9 },
  {  6,  8,  7,  6,  0,  8,  6, 11,  3,  0,  6,  3 },
  { 11,  0,  3, 11,  9,  0, 11,  2,  1,  9, 11,  1 },
  {  7,  9,  4,  7,  1,  9,  7,  8,  0,  1,  7,  0 },
  {  6,  1, 10,  6,  0,  1,  9,  0,  6,  9,  6,  5 },
  {  4, 10,  5,  4,  2, 10,  4,  9,  1,  2,  4,  1 },
  {  7,  2, 11,  7,  1,  2,  7,  6, 10,  1,  7, 10 },
  {  2,  7, 11,  2,  4,  7,  2,  3,  8,  4,  2,  8 },
  {  5, 11,  6,  5,  3, 11,  5, 10,  2,  3,  5,  2 },
  {  8,  6,  7,  8, 10,  6,  8,  4,  5, 10,  8,  5 },
  { 11,  5,  6, 11,  9,  5, 11,  7,  4,  9, 11,  4 },
  {  6,  5, 11,  5,  9, 11,  4,  7, 11,  4, 11,  9 },
  {  7,  6,  8,  6, 10,  8,  5,  4,  8,  5,  8, 10 },
  {  6, 11,  5, 11,  3,  5,  2, 10,  5,  2,  5,  3 },
  { 11,  7,  2,  7,  4,  2,  8,  3,  2,  8,  2,  4 },
  { 11,  2,  7,  2,  1,  7, 10,  6,  7, 10,  7,  1 },
  {  5, 10,  4, 10,  2,  4,  1,  9,  4,  1,  4,  2 },
  { 10,  1,  6,  1,  0,  6,  6,  0,  9,  5,  6,  9 },
  {  4,  9,  7,  9,  1,  7,  0,  8,  7,  0,  7,  1 },
  {  3,  0, 11,  0,  9, 11,  1,  2, 11,  1, 11,  9 },
  {  7,  8,  6,  8,  0,  6,  3, 11,  6,  3,  6,  0 },
  {  8,  4,  3,  4,  5,  3,  9,  0,  3,  9,  3,  5 },
  {  2,  3, 10,  3,  8, 10,  0,  1, 10,  0, 10,  8 }
}

tiling table for case 3.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling4_1

std::int8_t amrex::MC::LookUpTable::tiling4_1[8][6]

Initial value:

= {
  {  0,  8,  3,  5, 10,  6 },
  {  0,  1,  9, 11,  7,  6 },
  {  1,  2, 10,  8,  4,  7 },
  {  9,  5,  4,  2,  3, 11 },
  {  4,  5,  9, 11,  3,  2 },
  { 10,  2,  1,  7,  4,  8 },
  {  9,  1,  0,  6,  7, 11 },
  {  3,  8,  0,  6, 10,  5 }
}

tiling table for case 4.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling4_2

std::int8_t amrex::MC::LookUpTable::tiling4_2[8][18]

Initial value:

= {
  {  8,  5,  0,  5,  8,  6,  3,  6,  8,  6,  3, 10,  0, 10,  3, 10,  0,  5 },
  {  9,  6,  1,  6,  9,  7,  0,  7,  9,  7,  0, 11,  1, 11,  0, 11,  1,  6 },
  { 10,  7,  2,  7, 10,  4,  1,  4, 10,  4,  1,  8,  2,  8,  1,  8,  2,  7 },
  { 11,  4,  3,  4, 11,  5,  2,  5, 11,  5,  2,  9,  3,  9,  2,  9,  3,  4 },
  {  3,  4, 11,  5, 11,  4, 11,  5,  2,  9,  2,  5,  2,  9,  3,  4,  3,  9 },
  {  2,  7, 10,  4, 10,  7, 10,  4,  1,  8,  1,  4,  1,  8,  2,  7,  2,  8 },
  {  1,  6,  9,  7,  9,  6,  9,  7,  0, 11,  0,  7,  0, 11,  1,  6,  1, 11 },
  {  0,  5,  8,  6,  8,  5,  8,  6,  3, 10,  3,  6,  3, 10,  0,  5,  0, 10 }
}

tiling table for case 4.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling5

std::int8_t amrex::MC::LookUpTable::tiling5[48][9]

tiling table for case 5 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling6_1_1

std::int8_t amrex::MC::LookUpTable::tiling6_1_1[48][9]

tiling table for case 6.1.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling6_1_2

std::int8_t amrex::MC::LookUpTable::tiling6_1_2[48][27]

tiling table for case 6.1.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling6_2

std::int8_t amrex::MC::LookUpTable::tiling6_2[48][15]

tiling table for case 6.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling7_1

std::int8_t amrex::MC::LookUpTable::tiling7_1[16][9]

Initial value:

= {
  {  9,  5,  4, 10,  1,  2,  8,  3,  0 },
  { 11,  7,  6,  8,  3,  0, 10,  1,  2 },
  {  3,  0,  8,  5,  4,  9,  7,  6, 11 },
  {  8,  4,  7,  9,  0,  1, 11,  2,  3 },
  { 10,  6,  5, 11,  2,  3,  9,  0,  1 },
  {  0,  1,  9,  6,  5, 10,  4,  7,  8 },
  {  1,  2, 10,  7,  6, 11,  5,  4,  9 },
  {  2,  3, 11,  4,  7,  8,  6,  5, 10 },
  { 11,  3,  2,  8,  7,  4, 10,  5,  6 },
  { 10,  2,  1, 11,  6,  7,  9,  4,  5 },
  {  9,  1,  0, 10,  5,  6,  8,  7,  4 },
  {  5,  6, 10,  3,  2, 11,  1,  0,  9 },
  {  7,  4,  8,  1,  0,  9,  3,  2, 11 },
  {  8,  0,  3,  9,  4,  5, 11,  6,  7 },
  {  6,  7, 11,  0,  3,  8,  2,  1, 10 },
  {  4,  5,  9,  2,  1, 10,  0,  3,  8 }
}

tiling table for case 7.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling7_2

std::int8_t amrex::MC::LookUpTable::tiling7_2[16][3][15]

tiling table for case 7.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling7_3

std::int8_t amrex::MC::LookUpTable::tiling7_3[16][3][27]

tiling table for case 7.3 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling7_4_1

std::int8_t amrex::MC::LookUpTable::tiling7_4_1[16][15]

Initial value:

= {
  {  3,  4,  8,  4,  3, 10,  2, 10,  3,  4, 10,  5,  9,  1,  0 },
  {  1,  6, 10,  6,  1,  8,  0,  8,  1,  6,  8,  7, 11,  3,  2 },
  { 11,  3,  6,  9,  6,  3,  6,  9,  5,  0,  9,  3,  7,  4,  8 },
  {  2,  7, 11,  7,  2,  9,  1,  9,  2,  7,  9,  4,  8,  0,  3 },
  {  0,  5,  9,  5,  0, 11,  3, 11,  0,  5, 11,  6, 10,  2,  1 },
  {  8,  0,  7, 10,  7,  0,  7, 10,  6,  1, 10,  0,  4,  5,  9 },
  {  9,  1,  4, 11,  4,  1,  4, 11,  7,  2, 11,  1,  5,  6, 10 },
  { 10,  2,  5,  8,  5,  2,  5,  8,  4,  3,  8,  2,  6,  7, 11 },
  {  5,  2, 10,  2,  5,  8,  4,  8,  5,  2,  8,  3, 11,  7,  6 },
  {  4,  1,  9,  1,  4, 11,  7, 11,  4,  1, 11,  2, 10,  6,  5 },
  {  7,  0,  8,  0,  7, 10,  6, 10,  7,  0, 10,  1,  9,  5,  4 },
  {  9,  5,  0, 11,  0,  5,  0, 11,  3,  6, 11,  5,  1,  2, 10 },
  { 11,  7,  2,  9,  2,  7,  2,  9,  1,  4,  9,  7,  3,  0,  8 },
  {  6,  3, 11,  3,  6,  9,  5,  9,  6,  3,  9,  0,  8,  4,  7 },
  { 10,  6,  1,  8,  1,  6,  1,  8,  0,  7,  8,  6,  2,  3, 11 },
  {  8,  4,  3, 10,  3,  4,  3, 10,  2,  5, 10,  4,  0,  1,  9 }
}

tiling table for case 7.4.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling7_4_2

std::int8_t amrex::MC::LookUpTable::tiling7_4_2[16][27]

Initial value:

= {
  {   9,  4,  8,  4,  9,  5, 10,  5,  9,  1, 10,  9, 10,  1,  2,  0,  2,  1,  2,  0,  3,  8,  3,  0,  9,  8,  0 },
  {  11,  6, 10,  6, 11,  7,  8,  7, 11,  3,  8, 11,  8,  3,  0,  2,  0,  3,  0,  2,  1, 10,  1,  2, 11, 10,  2 },
  {  11,  3,  8,  0,  8,  3,  8,  0,  9,  8,  9,  4,  5,  4,  9,  4,  5,  7,  6,  7,  5,  7,  6, 11,  7, 11,  8 },
  {   8,  7, 11,  7,  8,  4,  9,  4,  8,  0,  9,  8,  9,  0,  1,  3,  1,  0,  1,  3,  2, 11,  2,  3,  8, 11,  3 },
  {  10,  5,  9,  5, 10,  6, 11,  6, 10,  2, 11, 10, 11,  2,  3,  1,  3,  2,  3,  1,  0,  9,  0,  1, 10,  9,  1 },
  {   8,  0,  9,  1,  9,  0,  9,  1, 10,  9, 10,  5,  6,  5, 10,  5,  6,  4,  7,  4,  6,  4,  7,  8,  4,  8,  9 },
  {   9,  1, 10,  2, 10,  1, 10,  2, 11, 10, 11,  6,  7,  6, 11,  6,  7,  5,  4,  5,  7,  5,  4,  9,  5,  9, 10 },
  {  10,  2, 11,  3, 11,  2, 11,  3,  8, 11,  8,  7,  4,  7,  8,  7,  4,  6,  5,  6,  4,  6,  5, 10,  6, 10, 11 },
  {  11,  2, 10,  2, 11,  3,  8,  3, 11,  7,  8, 11,  8,  7,  4,  6,  4,  7,  4,  6,  5, 10,  5,  6, 11, 10,  6 },
  {  10,  1,  9,  1, 10,  2, 11,  2, 10,  6, 11, 10, 11,  6,  7,  5,  7,  6,  7,  5,  4,  9,  4,  5, 10,  9,  5 },
  {   9,  0,  8,  0,  9,  1, 10,  1,  9,  5, 10,  9, 10,  5,  6,  4,  6,  5,  6,  4,  7,  8,  7,  4,  9,  8,  4 },
  {   9,  5, 10,  6, 10,  5, 10,  6, 11, 10, 11,  2,  3,  2, 11,  2,  3,  1,  0,  1,  3,  1,  0,  9,  1,  9, 10 },
  {  11,  7,  8,  4,  8,  7,  8,  4,  9,  8,  9,  0,  1,  0,  9,  0,  1,  3,  2,  3,  1,  3,  2, 11,  3, 11,  8 },
  {   8,  3, 11,  3,  8,  0,  9,  0,  8,  4,  9,  8,  9,  4,  5,  7,  5,  4,  5,  7,  6, 11,  6,  7,  8, 11,  7 },
  {  10,  6, 11,  7, 11,  6, 11,  7,  8, 11,  8,  3,  0,  3,  8,  3,  0,  2,  1,  2,  0,  2,  1, 10,  2, 10, 11 },
  {   8,  4,  9,  5,  9,  4,  9,  5, 10,  9, 10,  1,  2,  1, 10,  1,  2,  0,  3,  0,  2,  0,  3,  8,  0,  8,  9 }
}

tiling table for case 7.4.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling8

std::int8_t amrex::MC::LookUpTable::tiling8[6][6]

Initial value:

= {
  { 9,  8, 10, 10,  8, 11 },
  { 1,  5,  3,  3,  5,  7 },
  { 0,  4,  2,  4,  6,  2 },
  { 0,  2,  4,  4,  2,  6 },
  { 1,  3,  5,  3,  7,  5 },
  { 9, 10,  8, 10, 11,  8 }
}

tiling table for case 8 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

tiling9

std::int8_t amrex::MC::LookUpTable::tiling9[8][12]

Initial value:

= {
  {  2, 10,  5,  3,  2,  5,  3,  5,  4,  3,  4,  8 },
  {  4,  7, 11,  9,  4, 11,  9, 11,  2,  9,  2,  1 },
  { 10,  7,  6,  1,  7, 10,  1,  8,  7,  1,  0,  8 },
  {  3,  6, 11,  0,  6,  3,  0,  5,  6,  0,  9,  5 },
  {  3, 11,  6,  0,  3,  6,  0,  6,  5,  0,  5,  9 },
  { 10,  6,  7,  1, 10,  7,  1,  7,  8,  1,  8,  0 },
  {  4, 11,  7,  9, 11,  4,  9,  2, 11,  9,  1,  2 },
  {  2,  5, 10,  3,  5,  2,  3,  4,  5,  3,  8,  4 }
}

tiling table for case 9 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

---

The documentation for this struct was generated from the following file:

• /home/runner/work/amrex/amrex/Src/EB/AMReX_mc_jgt_table.H