470 lines
12 KiB
C++
470 lines
12 KiB
C++
// Copyright (c) 2010-2020, Lawrence Livermore National Security, LLC. Produced
|
|
// at the Lawrence Livermore National Laboratory. All Rights reserved. See files
|
|
// LICENSE and NOTICE for details. LLNL-CODE-806117.
|
|
//
|
|
// This file is part of the MFEM library. For more information and source code
|
|
// availability visit https://mfem.org.
|
|
//
|
|
// MFEM is free software; you can redistribute it and/or modify it under the
|
|
// terms of the BSD-3 license. We welcome feedback and contributions, see file
|
|
// CONTRIBUTING.md for details.
|
|
|
|
namespace mfem
|
|
{
|
|
|
|
static int ref_type_num_children[8] = { 0, 2, 2, 4, 2, 4, 4, 8 };
|
|
|
|
|
|
// derefinement tables
|
|
|
|
static int quad_deref_table[3][4 + 4] =
|
|
{
|
|
{ 0, 1, 1, 0, /**/ 1, 1, 0, 0 }, // 1 - X
|
|
{ 0, 0, 1, 1, /**/ 0, 0, 1, 1 }, // 2 - Y
|
|
{ 0, 1, 2, 3, /**/ 1, 1, 3, 3 } // 3 - iso
|
|
};
|
|
|
|
static int hex_deref_table[7][8 + 6] =
|
|
{
|
|
{ 0, 1, 1, 0, 0, 1, 1, 0, /**/ 1, 1, 1, 0, 0, 0 }, // 1 - X
|
|
{ 0, 0, 1, 1, 0, 0, 1, 1, /**/ 0, 0, 0, 1, 1, 1 }, // 2 - Y
|
|
{ 0, 1, 2, 3, 0, 1, 2, 3, /**/ 1, 1, 1, 3, 3, 3 }, // 3 - XY
|
|
{ 0, 0, 0, 0, 1, 1, 1, 1, /**/ 0, 0, 0, 1, 1, 1 }, // 4 - Z
|
|
{ 0, 1, 1, 0, 3, 2, 2, 3, /**/ 1, 1, 1, 3, 3, 3 }, // 5 - XZ
|
|
{ 0, 0, 1, 1, 2, 2, 3, 3, /**/ 0, 0, 0, 3, 3, 3 }, // 6 - YZ
|
|
{ 0, 1, 2, 3, 4, 5, 6, 7, /**/ 1, 1, 1, 7, 7, 7 } // 7 - iso
|
|
};
|
|
|
|
static int prism_deref_table[7][6 + 5] =
|
|
{
|
|
{-1,-1,-1,-1,-1,-1, /**/ -1,-1,-1,-1,-1 }, // 1
|
|
{-1,-1,-1,-1,-1,-1, /**/ -1,-1,-1,-1,-1 }, // 2
|
|
{ 0, 1, 2, 0, 1, 2, /**/ 0, 0, 0, 1, 0 }, // 3 - XY
|
|
{ 0, 0, 0, 1, 1, 1, /**/ 0, 1, 0, 0, 0 }, // 4 - Z
|
|
{-1,-1,-1,-1,-1,-1, /**/ -1,-1,-1,-1,-1 }, // 5
|
|
{-1,-1,-1,-1,-1,-1, /**/ -1,-1,-1,-1,-1 }, // 6
|
|
{ 0, 1, 2, 4, 5, 6, /**/ 0, 5, 0, 5, 0 } // 7 - iso
|
|
};
|
|
|
|
|
|
// child ordering tables
|
|
|
|
static char quad_hilbert_child_order[8][4] =
|
|
{
|
|
{0,1,2,3}, {0,3,2,1}, {1,2,3,0}, {1,0,3,2},
|
|
{2,3,0,1}, {2,1,0,3}, {3,0,1,2}, {3,2,1,0}
|
|
};
|
|
|
|
static char quad_hilbert_child_state[8][4] =
|
|
{
|
|
{1,0,0,5}, {0,1,1,4}, {3,2,2,7}, {2,3,3,6},
|
|
{5,4,4,1}, {4,5,5,0}, {7,6,6,3}, {6,7,7,2}
|
|
};
|
|
|
|
static char hex_hilbert_child_order[24][8] =
|
|
{
|
|
{0,1,2,3,7,6,5,4}, {0,3,7,4,5,6,2,1}, {0,4,5,1,2,6,7,3},
|
|
{1,0,3,2,6,7,4,5}, {1,2,6,5,4,7,3,0}, {1,5,4,0,3,7,6,2},
|
|
{2,1,5,6,7,4,0,3}, {2,3,0,1,5,4,7,6}, {2,6,7,3,0,4,5,1},
|
|
{3,0,4,7,6,5,1,2}, {3,2,1,0,4,5,6,7}, {3,7,6,2,1,5,4,0},
|
|
{4,0,1,5,6,2,3,7}, {4,5,6,7,3,2,1,0}, {4,7,3,0,1,2,6,5},
|
|
{5,1,0,4,7,3,2,6}, {5,4,7,6,2,3,0,1}, {5,6,2,1,0,3,7,4},
|
|
{6,2,3,7,4,0,1,5}, {6,5,1,2,3,0,4,7}, {6,7,4,5,1,0,3,2},
|
|
{7,3,2,6,5,1,0,4}, {7,4,0,3,2,1,5,6}, {7,6,5,4,0,1,2,3}
|
|
};
|
|
|
|
static char hex_hilbert_child_state[24][8] =
|
|
{
|
|
{1,2,2,7,7,21,21,17}, {2,0,0,22,22,16,16,8}, {0,1,1,15,15,6,6,23},
|
|
{4,5,5,10,10,18,18,14}, {5,3,3,19,19,13,13,11}, {3,4,4,12,12,9,9,20},
|
|
{8,7,7,17,17,23,23,2}, {6,8,8,0,0,15,15,22}, {7,6,6,21,21,1,1,16},
|
|
{11,10,10,14,14,20,20,5}, {9,11,11,3,3,12,12,19}, {10,9,9,18,18,4,4,13},
|
|
{13,14,14,5,5,19,19,10}, {14,12,12,20,20,11,11,4}, {12,13,13,9,9,3,3,18},
|
|
{16,17,17,2,2,22,22,7}, {17,15,15,23,23,8,8,1}, {15,16,16,6,6,0,0,21},
|
|
{20,19,19,11,11,14,14,3}, {18,20,20,4,4,10,10,12}, {19,18,18,13,13,5,5,9},
|
|
{23,22,22,8,8,17,17,0}, {21,23,23,1,1,7,7,15}, {22,21,21,16,16,2,2,6}
|
|
};
|
|
|
|
|
|
// child/parent reference domain transforms
|
|
|
|
typedef NCMesh::RefCoord RefCoord;
|
|
|
|
// reference domain coordinates as fixed point numbers
|
|
const RefCoord T_HALF = (1ll << 59);
|
|
const RefCoord T_ONE = (1ll << 60);
|
|
const RefCoord T_TWO = (1ll << 61);
|
|
|
|
// (scaling factors have a different fixed point multiplier)
|
|
const RefCoord S_HALF = 1;
|
|
const RefCoord S_ONE = 2;
|
|
const RefCoord S_TWO = 4;
|
|
|
|
static RefCoord tri_corners[3][3] =
|
|
{
|
|
{ 0, 0, 0},
|
|
{T_ONE, 0, 0},
|
|
{ 0, T_ONE, 0}
|
|
};
|
|
|
|
static RefCoord quad_corners[4][3] =
|
|
{
|
|
{ 0, 0, 0},
|
|
{T_ONE, 0, 0},
|
|
{T_ONE, T_ONE, 0},
|
|
{ 0, T_ONE, 0}
|
|
};
|
|
|
|
static RefCoord hex_corners[8][3] =
|
|
{
|
|
{ 0, 0, 0},
|
|
{T_ONE, 0, 0},
|
|
{T_ONE, T_ONE, 0},
|
|
{ 0, T_ONE, 0},
|
|
{ 0, 0, T_ONE},
|
|
{T_ONE, 0, T_ONE},
|
|
{T_ONE, T_ONE, T_ONE},
|
|
{ 0, T_ONE, T_ONE}
|
|
};
|
|
|
|
static RefCoord prism_corners[6][3] =
|
|
{
|
|
{ 0, 0, 0},
|
|
{T_ONE, 0, 0},
|
|
{ 0, T_ONE, 0},
|
|
{ 0, 0, T_ONE},
|
|
{T_ONE, 0, T_ONE},
|
|
{ 0, T_ONE, T_ONE}
|
|
};
|
|
|
|
typedef RefCoord RefPoint[3];
|
|
static RefPoint* geom_corners[7] =
|
|
{
|
|
NULL, // point
|
|
NULL, // segment
|
|
tri_corners,
|
|
quad_corners,
|
|
NULL, // tetrahedron
|
|
hex_corners,
|
|
prism_corners
|
|
};
|
|
|
|
// reference domain transform: 3 scales, 3 translations
|
|
struct RefTrf
|
|
{
|
|
RefCoord s[3], t[3];
|
|
|
|
void Apply(const RefCoord src[3], RefCoord dst[3]) const;
|
|
};
|
|
|
|
static RefTrf quad_parent_rt1[2] =
|
|
{
|
|
{ {S_HALF, S_ONE, 0}, { 0, 0, 0} },
|
|
{ {S_HALF, S_ONE, 0}, {T_HALF, 0, 0} }
|
|
};
|
|
|
|
static RefTrf quad_child_rt1[2] =
|
|
{
|
|
{ {S_TWO, S_ONE, 0}, { 0, 0, 0} },
|
|
{ {S_TWO, S_ONE, 0}, {-T_ONE, 0, 0} }
|
|
};
|
|
|
|
static RefTrf quad_parent_rt2[2] =
|
|
{
|
|
{ {S_ONE, S_HALF, 0}, {0, 0, 0} },
|
|
{ {S_ONE, S_HALF, 0}, {0, T_HALF, 0} }
|
|
};
|
|
|
|
static RefTrf quad_child_rt2[2] =
|
|
{
|
|
{ {S_ONE, S_TWO, 0}, {0, 0, 0} },
|
|
{ {S_ONE, S_TWO, 0}, {0, -T_ONE, 0} }
|
|
};
|
|
|
|
static RefTrf quad_parent_rt3[4] =
|
|
{
|
|
{ {S_HALF, S_HALF, 0}, { 0, 0, 0} },
|
|
{ {S_HALF, S_HALF, 0}, {T_HALF, 0, 0} },
|
|
{ {S_HALF, S_HALF, 0}, {T_HALF, T_HALF, 0} },
|
|
{ {S_HALF, S_HALF, 0}, { 0, T_HALF, 0} }
|
|
};
|
|
|
|
static RefTrf quad_child_rt3[4] =
|
|
{
|
|
{ {S_TWO, S_TWO, 0}, { 0, 0, 0} },
|
|
{ {S_TWO, S_TWO, 0}, {-T_ONE, 0, 0} },
|
|
{ {S_TWO, S_TWO, 0}, {-T_ONE, -T_ONE, 0} },
|
|
{ {S_TWO, S_TWO, 0}, { 0, -T_ONE, 0} }
|
|
};
|
|
|
|
static RefTrf* quad_parent[4] =
|
|
{
|
|
NULL,
|
|
quad_parent_rt1,
|
|
quad_parent_rt2,
|
|
quad_parent_rt3
|
|
};
|
|
|
|
static RefTrf* quad_child[4] =
|
|
{
|
|
NULL,
|
|
quad_child_rt1,
|
|
quad_child_rt2,
|
|
quad_child_rt3
|
|
};
|
|
|
|
static RefTrf hex_parent_rt1[2] =
|
|
{
|
|
{ {S_HALF, S_ONE, S_ONE}, { 0, 0, 0} },
|
|
{ {S_HALF, S_ONE, S_ONE}, {T_HALF, 0, 0} }
|
|
};
|
|
|
|
static RefTrf hex_child_rt1[2] =
|
|
{
|
|
{ {S_TWO, S_ONE, S_ONE}, { 0, 0, 0} },
|
|
{ {S_TWO, S_ONE, S_ONE}, {-T_ONE, 0, 0} }
|
|
};
|
|
|
|
static RefTrf hex_parent_rt2[2] =
|
|
{
|
|
{ {S_ONE, S_HALF, S_ONE}, {0, 0, 0} },
|
|
{ {S_ONE, S_HALF, S_ONE}, {0, T_HALF, 0} }
|
|
};
|
|
|
|
static RefTrf hex_child_rt2[2] =
|
|
{
|
|
{ {S_ONE, S_TWO, S_ONE}, {0, 0, 0} },
|
|
{ {S_ONE, S_TWO, S_ONE}, {0, -T_ONE, 0} }
|
|
};
|
|
|
|
static RefTrf hex_parent_rt3[4] =
|
|
{
|
|
{ {S_HALF, S_HALF, S_ONE}, { 0, 0, 0} },
|
|
{ {S_HALF, S_HALF, S_ONE}, {T_HALF, 0, 0} },
|
|
{ {S_HALF, S_HALF, S_ONE}, {T_HALF, T_HALF, 0} },
|
|
{ {S_HALF, S_HALF, S_ONE}, { 0, T_HALF, 0} }
|
|
};
|
|
|
|
static RefTrf hex_child_rt3[4] =
|
|
{
|
|
{ {S_TWO, S_TWO, S_ONE}, { 0, 0, 0} },
|
|
{ {S_TWO, S_TWO, S_ONE}, {-T_ONE, 0, 0} },
|
|
{ {S_TWO, S_TWO, S_ONE}, {-T_ONE, -T_ONE, 0} },
|
|
{ {S_TWO, S_TWO, S_ONE}, { 0, -T_ONE, 0} }
|
|
};
|
|
|
|
static RefTrf hex_parent_rt4[2] =
|
|
{
|
|
{ {S_ONE, S_ONE, S_HALF}, {0, 0, 0} },
|
|
{ {S_ONE, S_ONE, S_HALF}, {0, 0, T_HALF} }
|
|
};
|
|
|
|
static RefTrf hex_child_rt4[2] =
|
|
{
|
|
{ {S_ONE, S_ONE, S_TWO}, {0, 0, 0} },
|
|
{ {S_ONE, S_ONE, S_TWO}, {0, 0, -T_ONE} }
|
|
};
|
|
|
|
static RefTrf hex_parent_rt5[4] =
|
|
{
|
|
{ {S_HALF, S_ONE, S_HALF}, { 0, 0, 0} },
|
|
{ {S_HALF, S_ONE, S_HALF}, {T_HALF, 0, 0} },
|
|
{ {S_HALF, S_ONE, S_HALF}, {T_HALF, 0, T_HALF} },
|
|
{ {S_HALF, S_ONE, S_HALF}, { 0, 0, T_HALF} }
|
|
};
|
|
|
|
static RefTrf hex_child_rt5[4] =
|
|
{
|
|
{ {S_TWO, S_ONE, S_TWO}, { 0, 0, 0} },
|
|
{ {S_TWO, S_ONE, S_TWO}, {-T_ONE, 0, 0} },
|
|
{ {S_TWO, S_ONE, S_TWO}, {-T_ONE, 0, -T_ONE} },
|
|
{ {S_TWO, S_ONE, S_TWO}, { 0, 0, -T_ONE} }
|
|
};
|
|
|
|
static RefTrf hex_parent_rt6[4] =
|
|
{
|
|
{ {S_ONE, S_HALF, S_HALF}, {0, 0, 0} },
|
|
{ {S_ONE, S_HALF, S_HALF}, {0, T_HALF, 0} },
|
|
{ {S_ONE, S_HALF, S_HALF}, {0, 0, T_HALF} },
|
|
{ {S_ONE, S_HALF, S_HALF}, {0, T_HALF, T_HALF} }
|
|
};
|
|
|
|
static RefTrf hex_child_rt6[4] =
|
|
{
|
|
{ {S_ONE, S_TWO, S_TWO}, {0, 0, 0} },
|
|
{ {S_ONE, S_TWO, S_TWO}, {0, -T_ONE, 0} },
|
|
{ {S_ONE, S_TWO, S_TWO}, {0, 0, -T_ONE} },
|
|
{ {S_ONE, S_TWO, S_TWO}, {0, -T_ONE, -T_ONE} }
|
|
};
|
|
|
|
static RefTrf hex_parent_rt7[8] =
|
|
{
|
|
{ {S_HALF, S_HALF, S_HALF}, { 0, 0, 0} },
|
|
{ {S_HALF, S_HALF, S_HALF}, {T_HALF, 0, 0} },
|
|
{ {S_HALF, S_HALF, S_HALF}, {T_HALF, T_HALF, 0} },
|
|
{ {S_HALF, S_HALF, S_HALF}, { 0, T_HALF, 0} },
|
|
{ {S_HALF, S_HALF, S_HALF}, { 0, 0, T_HALF} },
|
|
{ {S_HALF, S_HALF, S_HALF}, {T_HALF, 0, T_HALF} },
|
|
{ {S_HALF, S_HALF, S_HALF}, {T_HALF, T_HALF, T_HALF} },
|
|
{ {S_HALF, S_HALF, S_HALF}, { 0, T_HALF, T_HALF} }
|
|
};
|
|
|
|
static RefTrf hex_child_rt7[8] =
|
|
{
|
|
{ {S_TWO, S_TWO, S_TWO}, { 0, 0, 0} },
|
|
{ {S_TWO, S_TWO, S_TWO}, {-T_ONE, 0, 0} },
|
|
{ {S_TWO, S_TWO, S_TWO}, {-T_ONE, -T_ONE, 0} },
|
|
{ {S_TWO, S_TWO, S_TWO}, { 0, -T_ONE, 0} },
|
|
{ {S_TWO, S_TWO, S_TWO}, { 0, 0, -T_ONE} },
|
|
{ {S_TWO, S_TWO, S_TWO}, {-T_ONE, 0, -T_ONE} },
|
|
{ {S_TWO, S_TWO, S_TWO}, {-T_ONE, -T_ONE, -T_ONE} },
|
|
{ {S_TWO, S_TWO, S_TWO}, { 0, -T_ONE, -T_ONE} }
|
|
};
|
|
|
|
static RefTrf* hex_parent[8] =
|
|
{
|
|
NULL,
|
|
hex_parent_rt1,
|
|
hex_parent_rt2,
|
|
hex_parent_rt3,
|
|
hex_parent_rt4,
|
|
hex_parent_rt5,
|
|
hex_parent_rt6,
|
|
hex_parent_rt7
|
|
};
|
|
|
|
static RefTrf* hex_child[8] =
|
|
{
|
|
NULL,
|
|
hex_child_rt1,
|
|
hex_child_rt2,
|
|
hex_child_rt3,
|
|
hex_child_rt4,
|
|
hex_child_rt5,
|
|
hex_child_rt6,
|
|
hex_child_rt7
|
|
};
|
|
|
|
static RefTrf tri_parent_rt3[4] =
|
|
{
|
|
{ { S_HALF, S_HALF, 0}, { 0, 0, 0} },
|
|
{ { S_HALF, S_HALF, 0}, {T_HALF, 0, 0} },
|
|
{ { S_HALF, S_HALF, 0}, { 0, T_HALF, 0} },
|
|
{ {-S_HALF, -S_HALF, 0}, {T_HALF, T_HALF, 0} }
|
|
};
|
|
|
|
static RefTrf tri_child_rt3[4] =
|
|
{
|
|
{ { S_TWO, S_TWO, 0}, { 0, 0, 0} },
|
|
{ { S_TWO, S_TWO, 0}, {-T_ONE, 0, 0} },
|
|
{ { S_TWO, S_TWO, 0}, { 0, -T_ONE, 0} },
|
|
{ {-S_TWO, -S_TWO, 0}, { T_ONE, T_ONE, 0} }
|
|
};
|
|
|
|
static RefTrf* tri_parent[4] =
|
|
{
|
|
NULL, NULL, NULL,
|
|
tri_parent_rt3
|
|
};
|
|
|
|
static RefTrf* tri_child[4] =
|
|
{
|
|
NULL, NULL, NULL,
|
|
tri_child_rt3
|
|
};
|
|
|
|
static RefTrf prism_parent_rt3[4] =
|
|
{
|
|
{ { S_HALF, S_HALF, S_ONE}, { 0, 0, 0} },
|
|
{ { S_HALF, S_HALF, S_ONE}, {T_HALF, 0, 0} },
|
|
{ { S_HALF, S_HALF, S_ONE}, { 0, T_HALF, 0} },
|
|
{ {-S_HALF, -S_HALF, S_ONE}, {T_HALF, T_HALF, 0} }
|
|
};
|
|
|
|
static RefTrf prism_child_rt3[4] =
|
|
{
|
|
{ { S_TWO, S_TWO, S_ONE}, { 0, 0, 0} },
|
|
{ { S_TWO, S_TWO, S_ONE}, {-T_ONE, 0, 0} },
|
|
{ { S_TWO, S_TWO, S_ONE}, { 0, -T_ONE, 0} },
|
|
{ {-S_TWO, -S_TWO, S_ONE}, { T_ONE, T_ONE, 0} }
|
|
};
|
|
|
|
static RefTrf prism_parent_rt4[2] =
|
|
{
|
|
{ {S_ONE, S_ONE, S_HALF}, {0, 0, 0} },
|
|
{ {S_ONE, S_ONE, S_HALF}, {0, 0, T_HALF} }
|
|
};
|
|
|
|
static RefTrf prism_child_rt4[2] =
|
|
{
|
|
{ {S_ONE, S_ONE, S_TWO}, {0, 0, 0} },
|
|
{ {S_ONE, S_ONE, S_TWO}, {0, 0, -T_ONE} }
|
|
};
|
|
|
|
static RefTrf prism_parent_rt7[8] =
|
|
{
|
|
{ { S_HALF, S_HALF, S_HALF}, { 0, 0, 0} },
|
|
{ { S_HALF, S_HALF, S_HALF}, {T_HALF, 0, 0} },
|
|
{ { S_HALF, S_HALF, S_HALF}, { 0, T_HALF, 0} },
|
|
{ {-S_HALF, -S_HALF, S_HALF}, {T_HALF, T_HALF, 0} },
|
|
{ { S_HALF, S_HALF, S_HALF}, { 0, 0, T_HALF} },
|
|
{ { S_HALF, S_HALF, S_HALF}, {T_HALF, 0, T_HALF} },
|
|
{ { S_HALF, S_HALF, S_HALF}, { 0, T_HALF, T_HALF} },
|
|
{ {-S_HALF, -S_HALF, S_HALF}, {T_HALF, T_HALF, T_HALF} }
|
|
};
|
|
|
|
static RefTrf prism_child_rt7[8] =
|
|
{
|
|
{ { S_TWO, S_TWO, S_TWO}, { 0, 0, 0} },
|
|
{ { S_TWO, S_TWO, S_TWO}, {-T_ONE, 0, 0} },
|
|
{ { S_TWO, S_TWO, S_TWO}, { 0, -T_ONE, 0} },
|
|
{ {-S_TWO, -S_TWO, S_TWO}, { T_ONE, T_ONE, 0} },
|
|
{ { S_TWO, S_TWO, S_TWO}, { 0, 0, -T_ONE} },
|
|
{ { S_TWO, S_TWO, S_TWO}, {-T_ONE, 0, -T_ONE} },
|
|
{ { S_TWO, S_TWO, S_TWO}, { 0, -T_ONE, -T_ONE} },
|
|
{ {-S_TWO, -S_TWO, S_TWO}, { T_ONE, T_ONE, -T_ONE} }
|
|
};
|
|
|
|
static RefTrf* prism_parent[8] =
|
|
{
|
|
NULL, NULL, NULL,
|
|
prism_parent_rt3,
|
|
prism_parent_rt4,
|
|
NULL, NULL,
|
|
prism_parent_rt7
|
|
};
|
|
|
|
static RefTrf* prism_child[8] =
|
|
{
|
|
NULL, NULL, NULL,
|
|
prism_child_rt3,
|
|
prism_child_rt4,
|
|
NULL, NULL,
|
|
prism_child_rt7
|
|
};
|
|
|
|
static RefTrf** geom_parent[7] =
|
|
{
|
|
NULL,
|
|
NULL,
|
|
tri_parent,
|
|
quad_parent,
|
|
NULL,
|
|
hex_parent,
|
|
prism_parent
|
|
};
|
|
|
|
static RefTrf** geom_child[7] =
|
|
{
|
|
NULL,
|
|
NULL,
|
|
tri_child,
|
|
quad_child,
|
|
NULL,
|
|
hex_child,
|
|
prism_child
|
|
};
|
|
|
|
|
|
} // namespace mfem
|