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Diffstat (limited to 'source/blender/blenlib/intern/math_rotation.c')
-rw-r--r--source/blender/blenlib/intern/math_rotation.c149
1 files changed, 149 insertions, 0 deletions
diff --git a/source/blender/blenlib/intern/math_rotation.c b/source/blender/blenlib/intern/math_rotation.c
index dc54bf9ace3..b38b5a2de10 100644
--- a/source/blender/blenlib/intern/math_rotation.c
+++ b/source/blender/blenlib/intern/math_rotation.c
@@ -1737,3 +1737,152 @@ float angle_wrap_deg(float angle)
{
return mod_inline(angle + 180.0f, 360.0f) - 180.0f;
}
+
+/* axis conversion */
+static float _axis_convert_matrix[23][3][3] = {
+ {{-1.0, 0.0, 0.0}, {0.0, -1.0, 0.0}, {0.0, 0.0, 1.0}},
+ {{-1.0, 0.0, 0.0}, {0.0, 0.0, -1.0}, {0.0, -1.0, 0.0}},
+ {{-1.0, 0.0, 0.0}, {0.0, 0.0, 1.0}, {0.0, 1.0, 0.0}},
+ {{-1.0, 0.0, 0.0}, {0.0, 1.0, 0.0}, {0.0, 0.0, -1.0}},
+ {{0.0, -1.0, 0.0}, {-1.0, 0.0, 0.0}, {0.0, 0.0, -1.0}},
+ {{0.0, 0.0, 1.0}, {-1.0, 0.0, 0.0}, {0.0, -1.0, 0.0}},
+ {{0.0, 0.0, -1.0}, {-1.0, 0.0, 0.0}, {0.0, 1.0, 0.0}},
+ {{0.0, 1.0, 0.0}, {-1.0, 0.0, 0.0}, {0.0, 0.0, 1.0}},
+ {{0.0, -1.0, 0.0}, {0.0, 0.0, 1.0}, {-1.0, 0.0, 0.0}},
+ {{0.0, 0.0, -1.0}, {0.0, -1.0, 0.0}, {-1.0, 0.0, 0.0}},
+ {{0.0, 0.0, 1.0}, {0.0, 1.0, 0.0}, {-1.0, 0.0, 0.0}},
+ {{0.0, 1.0, 0.0}, {0.0, 0.0, -1.0}, {-1.0, 0.0, 0.0}},
+ {{0.0, -1.0, 0.0}, {0.0, 0.0, -1.0}, {1.0, 0.0, 0.0}},
+ {{0.0, 0.0, 1.0}, {0.0, -1.0, 0.0}, {1.0, 0.0, 0.0}},
+ {{0.0, 0.0, -1.0}, {0.0, 1.0, 0.0}, {1.0, 0.0, 0.0}},
+ {{0.0, 1.0, 0.0}, {0.0, 0.0, 1.0}, {1.0, 0.0, 0.0}},
+ {{0.0, -1.0, 0.0}, {1.0, 0.0, 0.0}, {0.0, 0.0, 1.0}},
+ {{0.0, 0.0, -1.0}, {1.0, 0.0, 0.0}, {0.0, -1.0, 0.0}},
+ {{0.0, 0.0, 1.0}, {1.0, 0.0, 0.0}, {0.0, 1.0, 0.0}},
+ {{0.0, 1.0, 0.0}, {1.0, 0.0, 0.0}, {0.0, 0.0, -1.0}},
+ {{1.0, 0.0, 0.0}, {0.0, -1.0, 0.0}, {0.0, 0.0, -1.0}},
+ {{1.0, 0.0, 0.0}, {0.0, 0.0, 1.0}, {0.0, -1.0, 0.0}},
+ {{1.0, 0.0, 0.0}, {0.0, 0.0, -1.0}, {0.0, 1.0, 0.0}},
+};
+
+static int _axis_convert_lut[23][24] = {
+ {0x8C8, 0x4D0, 0x2E0, 0xAE8, 0x701, 0x511, 0x119, 0xB29, 0x682, 0x88A,
+ 0x09A, 0x2A2, 0x80B, 0x413, 0x223, 0xA2B, 0x644, 0x454, 0x05C, 0xA6C,
+ 0x745, 0x94D, 0x15D, 0x365},
+ {0xAC8, 0x8D0, 0x4E0, 0x2E8, 0x741, 0x951, 0x159, 0x369, 0x702, 0xB0A,
+ 0x11A, 0x522, 0xA0B, 0x813, 0x423, 0x22B, 0x684, 0x894, 0x09C, 0x2AC,
+ 0x645, 0xA4D, 0x05D, 0x465},
+ {0x4C8, 0x2D0, 0xAE0, 0x8E8, 0x681, 0x291, 0x099, 0x8A9, 0x642, 0x44A,
+ 0x05A, 0xA62, 0x40B, 0x213, 0xA23, 0x82B, 0x744, 0x354, 0x15C, 0x96C,
+ 0x705, 0x50D, 0x11D, 0xB25},
+ {0x2C8, 0xAD0, 0x8E0, 0x4E8, 0x641, 0xA51, 0x059, 0x469, 0x742, 0x34A,
+ 0x15A, 0x962, 0x20B, 0xA13, 0x823, 0x42B, 0x704, 0xB14, 0x11C, 0x52C,
+ 0x685, 0x28D, 0x09D, 0x8A5},
+ {0x708, 0xB10, 0x120, 0x528, 0x8C1, 0xAD1, 0x2D9, 0x4E9, 0x942, 0x74A,
+ 0x35A, 0x162, 0x64B, 0xA53, 0x063, 0x46B, 0x804, 0xA14, 0x21C, 0x42C,
+ 0x885, 0x68D, 0x29D, 0x0A5},
+ {0xB08, 0x110, 0x520, 0x728, 0x941, 0x151, 0x359, 0x769, 0x802, 0xA0A,
+ 0x21A, 0x422, 0xA4B, 0x053, 0x463, 0x66B, 0x884, 0x094, 0x29C, 0x6AC,
+ 0x8C5, 0xACD, 0x2DD, 0x4E5},
+ {0x508, 0x710, 0xB20, 0x128, 0x881, 0x691, 0x299, 0x0A9, 0x8C2, 0x4CA,
+ 0x2DA, 0xAE2, 0x44B, 0x653, 0xA63, 0x06B, 0x944, 0x754, 0x35C, 0x16C,
+ 0x805, 0x40D, 0x21D, 0xA25},
+ {0x108, 0x510, 0x720, 0xB28, 0x801, 0x411, 0x219, 0xA29, 0x882, 0x08A,
+ 0x29A, 0x6A2, 0x04B, 0x453, 0x663, 0xA6B, 0x8C4, 0x4D4, 0x2DC, 0xAEC,
+ 0x945, 0x14D, 0x35D, 0x765},
+ {0x748, 0x350, 0x160, 0x968, 0xAC1, 0x2D1, 0x4D9, 0x8E9, 0xA42, 0x64A,
+ 0x45A, 0x062, 0x68B, 0x293, 0x0A3, 0x8AB, 0xA04, 0x214, 0x41C, 0x82C,
+ 0xB05, 0x70D, 0x51D, 0x125},
+ {0x948, 0x750, 0x360, 0x168, 0xB01, 0x711, 0x519, 0x129, 0xAC2, 0x8CA,
+ 0x4DA, 0x2E2, 0x88B, 0x693, 0x2A3, 0x0AB, 0xA44, 0x654, 0x45C, 0x06C,
+ 0xA05, 0x80D, 0x41D, 0x225},
+ {0x348, 0x150, 0x960, 0x768, 0xA41, 0x051, 0x459, 0x669, 0xA02, 0x20A,
+ 0x41A, 0x822, 0x28B, 0x093, 0x8A3, 0x6AB, 0xB04, 0x114, 0x51C, 0x72C,
+ 0xAC5, 0x2CD, 0x4DD, 0x8E5},
+ {0x148, 0x950, 0x760, 0x368, 0xA01, 0x811, 0x419, 0x229, 0xB02, 0x10A,
+ 0x51A, 0x722, 0x08B, 0x893, 0x6A3, 0x2AB, 0xAC4, 0x8D4, 0x4DC, 0x2EC,
+ 0xA45, 0x04D, 0x45D, 0x665},
+ {0x688, 0x890, 0x0A0, 0x2A8, 0x4C1, 0x8D1, 0xAD9, 0x2E9, 0x502, 0x70A,
+ 0xB1A, 0x122, 0x74B, 0x953, 0x163, 0x36B, 0x404, 0x814, 0xA1C, 0x22C,
+ 0x445, 0x64D, 0xA5D, 0x065},
+ {0x888, 0x090, 0x2A0, 0x6A8, 0x501, 0x111, 0xB19, 0x729, 0x402, 0x80A,
+ 0xA1A, 0x222, 0x94B, 0x153, 0x363, 0x76B, 0x444, 0x054, 0xA5C, 0x66C,
+ 0x4C5, 0x8CD, 0xADD, 0x2E5},
+ {0x288, 0x690, 0x8A0, 0x0A8, 0x441, 0x651, 0xA59, 0x069, 0x4C2, 0x2CA,
+ 0xADA, 0x8E2, 0x34B, 0x753, 0x963, 0x16B, 0x504, 0x714, 0xB1C, 0x12C,
+ 0x405, 0x20D, 0xA1D, 0x825},
+ {0x088, 0x290, 0x6A0, 0x8A8, 0x401, 0x211, 0xA19, 0x829, 0x442, 0x04A,
+ 0xA5A, 0x662, 0x14B, 0x353, 0x763, 0x96B, 0x4C4, 0x2D4, 0xADC, 0x8EC,
+ 0x505, 0x10D, 0xB1D, 0x725},
+ {0x648, 0x450, 0x060, 0xA68, 0x2C1, 0x4D1, 0x8D9, 0xAE9, 0x282, 0x68A,
+ 0x89A, 0x0A2, 0x70B, 0x513, 0x123, 0xB2B, 0x204, 0x414, 0x81C, 0xA2C,
+ 0x345, 0x74D, 0x95D, 0x165},
+ {0xA48, 0x650, 0x460, 0x068, 0x341, 0x751, 0x959, 0x169, 0x2C2, 0xACA,
+ 0x8DA, 0x4E2, 0xB0B, 0x713, 0x523, 0x12B, 0x284, 0x694, 0x89C, 0x0AC,
+ 0x205, 0xA0D, 0x81D, 0x425},
+ {0x448, 0x050, 0xA60, 0x668, 0x281, 0x091, 0x899, 0x6A9, 0x202, 0x40A,
+ 0x81A, 0xA22, 0x50B, 0x113, 0xB23, 0x72B, 0x344, 0x154, 0x95C, 0x76C,
+ 0x2C5, 0x4CD, 0x8DD, 0xAE5},
+ {0x048, 0xA50, 0x660, 0x468, 0x201, 0xA11, 0x819, 0x429, 0x342, 0x14A,
+ 0x95A, 0x762, 0x10B, 0xB13, 0x723, 0x52B, 0x2C4, 0xAD4, 0x8DC, 0x4EC,
+ 0x285, 0x08D, 0x89D, 0x6A5},
+ {0x808, 0xA10, 0x220, 0x428, 0x101, 0xB11, 0x719, 0x529, 0x142, 0x94A,
+ 0x75A, 0x362, 0x8CB, 0xAD3, 0x2E3, 0x4EB, 0x044, 0xA54, 0x65C, 0x46C,
+ 0x085, 0x88D, 0x69D, 0x2A5},
+ {0xA08, 0x210, 0x420, 0x828, 0x141, 0x351, 0x759, 0x969, 0x042, 0xA4A,
+ 0x65A, 0x462, 0xACB, 0x2D3, 0x4E3, 0x8EB, 0x084, 0x294, 0x69C, 0x8AC,
+ 0x105, 0xB0D, 0x71D, 0x525},
+ {0x408, 0x810, 0xA20, 0x228, 0x081, 0x891, 0x699, 0x2A9, 0x102, 0x50A,
+ 0x71A, 0xB22, 0x4CB, 0x8D3, 0xAE3, 0x2EB, 0x144, 0x954, 0x75C, 0x36C,
+ 0x045, 0x44D, 0x65D, 0xA65},
+ };
+
+// _axis_convert_num = {'X': 0, 'Y': 1, 'Z': 2, '-X': 3, '-Y': 4, '-Z': 5}
+
+MINLINE int _axis_signed(const int axis)
+{
+ return (axis < 3) ? axis : axis - 3;
+}
+
+/*
+ * Each argument us an axis in ['X', 'Y', 'Z', '-X', '-Y', '-Z']
+ * where the first 2 are a source and the second 2 are the target.
+ */
+int mat3_from_axis_conversion(int from_forward, int from_up, int to_forward, int to_up,
+ float r_mat[3][3])
+{
+ // from functools import reduce
+ int value;
+ int i;
+
+ if (from_forward == to_forward && from_up == to_up) {
+ unit_m3(r_mat);
+ return false;
+ }
+
+ if ((_axis_signed(from_forward) == _axis_signed(from_up)) ||
+ (_axis_signed(to_forward) == _axis_signed(to_up)))
+ {
+ /* we could assert here! */
+ unit_m3(r_mat);
+ return false;
+ }
+
+ value = ((from_forward << (0 * 3)) |
+ (from_up << (1 * 3)) |
+ (to_forward << (2 * 3)) |
+ (to_up << (3 * 3)));
+
+ for (i = 0; i < (sizeof(_axis_convert_matrix) / sizeof(*_axis_convert_matrix)); i++) {
+ int j;
+ for (j = 0; j < sizeof(*_axis_convert_lut) / sizeof(*_axis_convert_lut[0]); j++) {
+ if (_axis_convert_lut[i][j] == value) {
+ copy_m3_m3(r_mat, _axis_convert_matrix[i]);
+ return true;
+ }
+ }
+
+ }
+// BLI_assert(0);
+ return false;
+}