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/* |
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Teem: Tools to process and visualize scientific data and images . |
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Copyright (C) 2013, 2012, 2011, 2010, 2009 University of Chicago |
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Copyright (C) 2008, 2007, 2006, 2005 Gordon Kindlmann |
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Copyright (C) 2004, 2003, 2002, 2001, 2000, 1999, 1998 University of Utah |
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This library is free software; you can redistribute it and/or |
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modify it under the terms of the GNU Lesser General Public License |
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(LGPL) as published by the Free Software Foundation; either |
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version 2.1 of the License, or (at your option) any later version. |
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The terms of redistributing and/or modifying this software also |
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include exceptions to the LGPL that facilitate static linking. |
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This library is distributed in the hope that it will be useful, |
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but WITHOUT ANY WARRANTY; without even the implied warranty of |
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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Lesser General Public License for more details. |
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You should have received a copy of the GNU Lesser General Public License |
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along with this library; if not, write to Free Software Foundation, Inc., |
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA |
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*/ |
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#include "limn.h" |
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/* |
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** "16simple": 16 bit representation based on |
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** <http://www.gamedev.net/reference/articles/article1252.asp> |
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** |
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** info: [z sign] [y sign] [x sign] [y component] [x component] |
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** bits: 1 1 1 7 6 |
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** |
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** despite appearances, this is isotropic in X and Y |
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*/ |
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void |
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_limnQN16simple_QNtoV_f(float *vec, unsigned int qn) { |
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int xi, yi; |
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float x, y, z, n; |
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xi = qn & 0x3F; |
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yi = (qn >> 6) & 0x7F; |
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if (xi + yi >= 127) { |
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xi = 127 - xi; |
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yi = 127 - yi; |
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} |
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x = xi/126.0f; |
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y = yi/126.0f; |
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z = 1.0f - x - y; |
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x = (qn & 0x2000) ? -x : x; |
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y = (qn & 0x4000) ? -y : y; |
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z = (qn & 0x8000) ? -z : z; |
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n = AIR_CAST(float, 1.0/sqrt(x*x + y*y + z*z)); |
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vec[0] = x*n; |
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vec[1] = y*n; |
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vec[2] = z*n; |
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} |
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unsigned int |
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_limnQN16simple_VtoQN_f(const float *vec) { |
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float x, y, z, L, w; |
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unsigned int sgn = 0, xi, yi; |
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x = vec[0]; |
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y = vec[1]; |
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z = vec[2]; |
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if (x < 0) { |
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sgn |= 0x2000; |
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x = -x; |
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} |
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if (y < 0) { |
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sgn |= 0x4000; |
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y = -y; |
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} |
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if (z < 0) { |
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sgn |= 0x8000; |
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z = -z; |
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} |
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L = x + y + z; |
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if (!L) { |
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return 0; |
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} |
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w = 126.0f/L; |
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xi = AIR_CAST(unsigned int, x*w); |
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yi = AIR_CAST(unsigned int, y*w); |
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if (xi >= 64) { |
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xi = 127 - xi; |
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yi = 127 - yi; |
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} |
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return sgn | (yi << 6) | xi; |
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} |
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/* ---------------------------------------------------------------- */ |
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void |
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_limnQN16border1_QNtoV_f(float *vec, unsigned int qn) { |
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unsigned int ui, vi; |
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float u, v, x, y, z, n; |
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ui = qn & 0xFF; |
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vi = qn >> 8; |
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u = AIR_CAST(float, AIR_AFFINE(0.5, ui, 254.5, -0.5, 0.5)); |
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v = AIR_CAST(float, AIR_AFFINE(0.5, vi, 254.5, -0.5, 0.5)); |
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x = u + v; |
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y = u - v; |
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z = 1 - AIR_ABS(x) - AIR_ABS(y); |
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z *= AIR_CAST(int, ((ui&1) ^ (vi&1)) << 1) - 1; |
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n = AIR_CAST(float, 1.0/sqrt(x*x + y*y + z*z)); |
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vec[0] = x*n; |
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vec[1] = y*n; |
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vec[2] = z*n; |
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} |
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unsigned int |
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_limnQN16border1_VtoQN_f(const float *vec) { |
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float L, u, v, x, y, z; |
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unsigned int ui, vi, zi; |
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char me[]="limnQNVto16PB1"; |
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x = vec[0]; |
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y = vec[1]; |
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z = vec[2]; |
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L = AIR_ABS(x) + AIR_ABS(y) + AIR_ABS(z); |
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if (!L) { |
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return 0; |
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} |
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x /= L; |
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y /= L; |
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u = x + y; |
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v = x - y; |
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ui = airIndex(-1, u, 1, 254); ui++; |
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vi = airIndex(-1, v, 1, 254); vi++; |
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zi = (ui ^ vi) & 0x01; |
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if (!zi && z > 1.0/128.0) { |
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ui -= (((ui >> 7) & 0x01) << 1) - 1; |
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} |
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else if (zi && z < -1.0/128.0) { |
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vi -= (((vi >> 7) & 0x01) << 1) - 1; |
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} |
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zi = (ui ^ vi) & 0x01; |
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if (!zi && z > 1.0/127.0) { |
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printf("%s: panic01\n", me); |
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} |
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else if (zi && z < -1.0/127.0) { |
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printf("%s: panic02\n", me); |
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} |
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return (vi << 8) | ui; |
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} |
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/* ---------------------------------------------------------------- */ |
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/* |
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x = [ 1.0 1.0 ] u |
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y [ 1.0 -1.0 ] v |
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*/ |
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/* |
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u = [ 0.5 0.5 ] x |
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v [ 0.5 -0.5 ] y |
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*/ |
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/* xor of low bits == 0 --> z<0 ; xor == 1 --> z>0 */ |
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/* May 11 2003 GK (visually) verified that except at equator seam, |
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the error due to quantization is unbiased */ |
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#define _EVEN_CHECK_QtoV(HNB, TT, vec, qn) \ |
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ui = (qn) & ((1<<HNB)-1); \ |
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vi = ((qn) >> HNB) & ((1<<HNB)-1); \ |
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u = AIR_AFFINE(0, ui, ((1<<HNB)-1), -0.5, 0.5); \ |
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v = AIR_AFFINE(0, vi, ((1<<HNB)-1), -0.5, 0.5); \ |
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x = u + v; \ |
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y = u - v; \ |
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z = 1 - AIR_ABS(x) - AIR_ABS(y); \ |
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z *= AIR_CAST(int, ((ui & 1) ^ (vi & 1)) << 1) - 1; \ |
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n = 1.0/sqrt(x*x + y*y + z*z); \ |
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(vec)[0] = AIR_CAST(TT, x*n); \ |
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(vec)[1] = AIR_CAST(TT, y*n); \ |
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(vec)[2] = AIR_CAST(TT, z*n) |
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#define _EVEN_CHECK_VtoQ(HNB, vec) \ |
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x = (vec)[0]; \ |
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y = (vec)[1]; \ |
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z = (vec)[2]; \ |
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L = AIR_ABS(x) + AIR_ABS(y) + AIR_ABS(z); \ |
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if (!L) { \ |
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return 0; \ |
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} \ |
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x /= L; \ |
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y /= L; \ |
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if (z > 0) { \ |
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xi = airIndex(-1.0, x, 1.0, ((1<<HNB)-1)); \ |
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yi = airIndex(-1.0 - 1.0/((1<<HNB)-1), y, 1.0 + 1.0/((1<<HNB)-1), \ |
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(1<<HNB)); \ |
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ui = xi + yi - ((1<<(HNB-1))-1); \ |
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vi = xi - yi + (1<<(HNB-1)); \ |
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} \ |
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else { \ |
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xi = airIndex(-1.0 - 1.0/((1<<HNB)-1), x, 1.0 + 1.0/((1<<HNB)-1), \ |
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(1<<HNB)); \ |
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yi = airIndex(-1, y, 1, ((1<<HNB)-1)); \ |
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ui = xi + yi - ((1<<(HNB-1))-1); \ |
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vi = xi - yi + ((1<<(HNB-1))-1); \ |
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} \ |
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return (vi << HNB) | ui |
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#define _EVEN_OCTA_QtoV(HNB, TT, vec, qn) \ |
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xi = (qn) & ((1<<HNB)-1); \ |
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yi = ((qn) >> HNB) & ((1<<HNB)-1); \ |
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x = AIR_AFFINE(-0.5, xi, ((1<<HNB)-1)+0.5, -1, 1); \ |
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y = AIR_AFFINE(-0.5, yi, ((1<<HNB)-1)+0.5, -1, 1); \ |
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z = 1 - AIR_ABS(x) - AIR_ABS(y); \ |
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if (z < 0) { \ |
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if (x > 0) { \ |
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x += z; \ |
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} else { \ |
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x -= z; \ |
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} \ |
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if (y > 0) { \ |
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y += z; \ |
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} else { \ |
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y -= z; \ |
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} \ |
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} \ |
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n = 1.0/sqrt(x*x + y*y + z*z); \ |
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(vec)[0] = AIR_CAST(TT, x*n); \ |
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(vec)[1] = AIR_CAST(TT, y*n); \ |
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(vec)[2] = AIR_CAST(TT, z*n) |
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#define _EVEN_OCTA_VtoQ(HNB, vec) \ |
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x = (vec)[0]; \ |
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y = (vec)[1]; \ |
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z = (vec)[2]; \ |
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L = AIR_ABS(x) + AIR_ABS(y) + AIR_ABS(z); \ |
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if (!L) { \ |
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return 0; \ |
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} \ |
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x /= L; \ |
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y /= L; \ |
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z /= L; \ |
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if (z < 0) { \ |
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if (x > 0) { \ |
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x -= z; \ |
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} else { \ |
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x += z; \ |
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} \ |
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if (y > 0) { \ |
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y -= z; \ |
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} else { \ |
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y += z; \ |
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} \ |
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} \ |
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xi = airIndex(-1, x, 1, (1<<HNB)); \ |
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yi = airIndex(-1, y, 1, (1<<HNB)); \ |
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return (yi << HNB) | xi |
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/* _16_CHECK_QtoV and _16_CHECK_VtoQ are not actually used */ |
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#define _16_CHECK_QtoV(vec, qn) \ |
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ui = (qn) & 0xFF; \ |
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vi = ((qn) >> 8) & 0xFF; \ |
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u = AIR_AFFINE(0, ui, 255, -0.5, 0.5); \ |
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v = AIR_AFFINE(0, vi, 255, -0.5, 0.5); \ |
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x = u + v; \ |
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y = u - v; \ |
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z = 1 - AIR_ABS(x) - AIR_ABS(y); \ |
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/* would this be better served by a branch? */ \ |
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z *= (((ui ^ vi) & 0x01) << 1) - 1; \ |
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n = 1.0/sqrt(x*x + y*y + z*z); \ |
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(vec)[0] = x*n; \ |
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(vec)[1] = y*n; \ |
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(vec)[2] = z*n |
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#define _16_CHECK_VtoQ(vec) \ |
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x = (vec)[0]; \ |
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y = (vec)[1]; \ |
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z = (vec)[2]; \ |
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L = AIR_ABS(x) + AIR_ABS(y) + AIR_ABS(z); \ |
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if (!L) { \ |
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return 0; \ |
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} \ |
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x /= L; \ |
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y /= L; \ |
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if (z > 0) { \ |
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xi = airIndex(-1.0, x, 1.0, 255); \ |
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yi = airIndex(-1.0 - 1.0/255, y, 1.0 + 1.0/255, 256); \ |
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ui = xi + yi - 127; \ |
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vi = xi - yi + 128; \ |
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} \ |
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else { \ |
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xi = airIndex(-1.0 - 1.0/255, x, 1.0 + 1.0/255, 256); \ |
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yi = airIndex(-1, y, 1, 255); \ |
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ui = xi + yi - 127; \ |
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vi = xi - yi + 127; \ |
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} |
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297 |
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void |
298 |
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_limnQN16checker_QNtoV_f(float *vec, unsigned int qn) { |
299 |
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unsigned int ui, vi; |
300 |
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double u, v, x, y, z, n; |
301 |
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302 |
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_EVEN_CHECK_QtoV(8, float, vec, qn); |
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} |
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305 |
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void |
306 |
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_limnQN16checker_QNtoV_d(double *vec, unsigned int qn) { |
307 |
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unsigned int ui, vi; |
308 |
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double u, v, x, y, z, n; |
309 |
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310 |
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_EVEN_CHECK_QtoV(8, double, vec, qn); |
311 |
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} |
312 |
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313 |
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unsigned int |
314 |
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_limnQN16checker_VtoQN_f(const float *vec) { |
315 |
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double L, x, y, z; |
316 |
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unsigned int xi, yi, ui, vi; |
317 |
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318 |
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_EVEN_CHECK_VtoQ(8, vec); |
319 |
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} |
320 |
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321 |
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unsigned int |
322 |
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_limnQN16checker_VtoQN_d(const double *vec) { |
323 |
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double L, x, y, z; |
324 |
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unsigned int xi, yi, ui, vi; |
325 |
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326 |
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_EVEN_CHECK_VtoQ(8, vec); |
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} |
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329 |
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/* ---------------------------------------------------------------- */ |
330 |
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331 |
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void |
332 |
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_limnQN16octa_QNtoV_f(float *vec, unsigned int qn) { |
333 |
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unsigned int xi, yi; |
334 |
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double x, y, z, n; |
335 |
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|
336 |
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_EVEN_OCTA_QtoV(8, float, vec, qn); |
337 |
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} |
338 |
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339 |
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void |
340 |
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_limnQN16octa_QNtoV_d(double *vec, unsigned int qn) { |
341 |
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unsigned int xi, yi; |
342 |
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double x, y, z, n; |
343 |
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344 |
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_EVEN_OCTA_QtoV(8, double, vec, qn); |
345 |
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} |
346 |
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|
347 |
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unsigned int |
348 |
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_limnQN16octa_VtoQN_f(const float *vec) { |
349 |
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double L, x, y, z; |
350 |
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unsigned int xi, yi; |
351 |
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|
352 |
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_EVEN_OCTA_VtoQ(8, vec); |
353 |
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} |
354 |
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|
355 |
|
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unsigned int |
356 |
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_limnQN16octa_VtoQN_d(const double *vec) { |
357 |
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double L, x, y, z; |
358 |
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unsigned int xi, yi; |
359 |
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|
360 |
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_EVEN_OCTA_VtoQ(8, vec); |
361 |
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} |
362 |
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|
363 |
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/* ---------------------------------------------------------------- */ |
364 |
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365 |
|
|
/* 15 bit --> HNB == 7 */ |
366 |
|
|
|
367 |
|
|
#define _ODD_OCTA_QtoV(HNB, TT, vec, qn) \ |
368 |
|
|
ui = qn & ((1<<HNB)-1); \ |
369 |
|
|
vi = (qn >> HNB) & ((1<<HNB)-1); \ |
370 |
|
|
zi = (qn >> (2*HNB)) & 0x01; \ |
371 |
|
|
u = AIR_CAST(TT, AIR_AFFINE(-0.5, ui, ((1<<HNB)-1)+0.5, -0.5, 0.5)); \ |
372 |
|
|
v = AIR_CAST(TT, AIR_AFFINE(-0.5, vi, ((1<<HNB)-1)+0.5, -0.5, 0.5)); \ |
373 |
|
|
x = u + v; \ |
374 |
|
|
y = u - v; \ |
375 |
|
|
z = 1 - AIR_ABS(x) - AIR_ABS(y); \ |
376 |
|
|
z *= AIR_CAST(int, zi << 1) - 1; \ |
377 |
|
|
n = AIR_CAST(TT, 1.0/sqrt(x*x + y*y + z*z)); \ |
378 |
|
|
vec[0] = AIR_CAST(TT, x*n); \ |
379 |
|
|
vec[1] = AIR_CAST(TT, y*n); \ |
380 |
|
|
vec[2] = AIR_CAST(TT, z*n) |
381 |
|
|
|
382 |
|
|
#define _ODD_OCTA_VtoQ(HNB, vec) \ |
383 |
|
|
x = vec[0]; \ |
384 |
|
|
y = vec[1]; \ |
385 |
|
|
z = vec[2]; \ |
386 |
|
|
L = AIR_ABS(x) + AIR_ABS(y) + AIR_ABS(z); \ |
387 |
|
|
if (!L) { \ |
388 |
|
|
return 0; \ |
389 |
|
|
} \ |
390 |
|
|
x /= L; \ |
391 |
|
|
y /= L; \ |
392 |
|
|
u = x + y; \ |
393 |
|
|
v = x - y; \ |
394 |
|
|
ui = airIndex(-1, u, 1, (1<<HNB)); \ |
395 |
|
|
vi = airIndex(-1, v, 1, (1<<HNB)); \ |
396 |
|
|
zi = (z > 0); \ |
397 |
|
|
return (zi << (2*HNB)) | (vi << HNB) | ui |
398 |
|
|
|
399 |
|
|
|
400 |
|
|
void |
401 |
|
|
_limnQN15octa_QNtoV_f(float *vec, unsigned int qn) { |
402 |
|
|
unsigned int ui, vi, zi; |
403 |
|
|
float u, v, x, y, z, n; |
404 |
|
|
|
405 |
|
|
_ODD_OCTA_QtoV(7, float, vec, qn); |
406 |
|
|
} |
407 |
|
|
|
408 |
|
|
void |
409 |
|
|
_limnQN15octa_QNtoV_d(double *vec, unsigned int qn) { |
410 |
|
|
unsigned int ui, vi, zi; |
411 |
|
|
double u, v, x, y, z, n; |
412 |
|
|
|
413 |
|
|
_ODD_OCTA_QtoV(7, double, vec, qn); |
414 |
|
|
} |
415 |
|
|
|
416 |
|
|
unsigned int |
417 |
|
|
_limnQN15octa_VtoQN_f(const float *vec) { |
418 |
|
|
float L, u, v, x, y, z; |
419 |
|
|
unsigned int ui, vi, zi; |
420 |
|
|
|
421 |
|
|
_ODD_OCTA_VtoQ(7, vec); |
422 |
|
|
} |
423 |
|
|
|
424 |
|
|
unsigned int |
425 |
|
|
_limnQN15octa_VtoQN_d(const double *vec) { |
426 |
|
|
double L, u, v, x, y, z; |
427 |
|
|
unsigned int ui, vi, zi; |
428 |
|
|
|
429 |
|
|
_ODD_OCTA_VtoQ(7, vec); |
430 |
|
|
} |
431 |
|
|
|
432 |
|
|
/* ----------------------------------------------------------- */ |
433 |
|
|
|
434 |
|
|
void |
435 |
|
|
_limnQN14checker_QNtoV_f(float *vec, unsigned int qn) { |
436 |
|
|
unsigned int ui, vi; |
437 |
|
|
double u, v, x, y, z, n; |
438 |
|
|
|
439 |
|
|
_EVEN_CHECK_QtoV(7, float, vec, qn); |
440 |
|
|
} |
441 |
|
|
|
442 |
|
|
void |
443 |
|
|
_limnQN14checker_QNtoV_d(double *vec, unsigned int qn) { |
444 |
|
|
unsigned int ui, vi; |
445 |
|
|
double u, v, x, y, z, n; |
446 |
|
|
|
447 |
|
|
_EVEN_CHECK_QtoV(7, double, vec, qn); |
448 |
|
|
} |
449 |
|
|
|
450 |
|
|
unsigned int |
451 |
|
|
_limnQN14checker_VtoQN_f(const float *vec) { |
452 |
|
|
double L, x, y, z; |
453 |
|
|
unsigned int xi, yi, ui, vi; |
454 |
|
|
|
455 |
|
|
_EVEN_CHECK_VtoQ(7, vec); |
456 |
|
|
} |
457 |
|
|
|
458 |
|
|
unsigned int |
459 |
|
|
_limnQN14checker_VtoQN_d(const double *vec) { |
460 |
|
|
double L, x, y, z; |
461 |
|
|
unsigned int xi, yi, ui, vi; |
462 |
|
|
|
463 |
|
|
_EVEN_CHECK_VtoQ(7, vec); |
464 |
|
|
} |
465 |
|
|
|
466 |
|
|
/* ---------------------------------------------------------------- */ |
467 |
|
|
|
468 |
|
|
void |
469 |
|
|
_limnQN14octa_QNtoV_f(float *vec, unsigned int qn) { |
470 |
|
|
unsigned int xi, yi; |
471 |
|
|
double x, y, z, n; |
472 |
|
|
|
473 |
|
|
_EVEN_OCTA_QtoV(7, float, vec, qn); |
474 |
|
|
} |
475 |
|
|
|
476 |
|
|
void |
477 |
|
|
_limnQN14octa_QNtoV_d(double *vec, unsigned int qn) { |
478 |
|
|
unsigned int xi, yi; |
479 |
|
|
double x, y, z, n; |
480 |
|
|
|
481 |
|
|
_EVEN_OCTA_QtoV(7, double, vec, qn); |
482 |
|
|
} |
483 |
|
|
|
484 |
|
|
unsigned int |
485 |
|
|
_limnQN14octa_VtoQN_f(const float *vec) { |
486 |
|
|
double L, x, y, z; |
487 |
|
|
unsigned int xi, yi; |
488 |
|
|
|
489 |
|
|
_EVEN_OCTA_VtoQ(7, vec); |
490 |
|
|
} |
491 |
|
|
|
492 |
|
|
unsigned int |
493 |
|
|
_limnQN14octa_VtoQN_d(const double *vec) { |
494 |
|
|
double L, x, y, z; |
495 |
|
|
unsigned int xi, yi; |
496 |
|
|
|
497 |
|
|
_EVEN_OCTA_VtoQ(7, vec); |
498 |
|
|
} |
499 |
|
|
|
500 |
|
|
/* ----------------------------------------------------------- */ |
501 |
|
|
|
502 |
|
|
void |
503 |
|
|
_limnQN13octa_QNtoV_f(float *vec, unsigned int qn) { |
504 |
|
|
unsigned int ui, vi, zi; |
505 |
|
|
float u, v, x, y, z, n; |
506 |
|
|
|
507 |
|
|
_ODD_OCTA_QtoV(6, float, vec, qn); |
508 |
|
|
} |
509 |
|
|
|
510 |
|
|
void |
511 |
|
|
_limnQN13octa_QNtoV_d(double *vec, unsigned int qn) { |
512 |
|
|
unsigned int ui, vi, zi; |
513 |
|
|
double u, v, x, y, z, n; |
514 |
|
|
|
515 |
|
|
_ODD_OCTA_QtoV(6, double, vec, qn); |
516 |
|
|
} |
517 |
|
|
|
518 |
|
|
unsigned int |
519 |
|
|
_limnQN13octa_VtoQN_f(const float *vec) { |
520 |
|
|
float L, u, v, x, y, z; |
521 |
|
|
unsigned int ui, vi, zi; |
522 |
|
|
|
523 |
|
|
_ODD_OCTA_VtoQ(6, vec); |
524 |
|
|
} |
525 |
|
|
|
526 |
|
|
unsigned int |
527 |
|
|
_limnQN13octa_VtoQN_d(const double *vec) { |
528 |
|
|
double L, u, v, x, y, z; |
529 |
|
|
unsigned int ui, vi, zi; |
530 |
|
|
|
531 |
|
|
_ODD_OCTA_VtoQ(6, vec); |
532 |
|
|
} |
533 |
|
|
|
534 |
|
|
/* ----------------------------------------------------------- */ |
535 |
|
|
|
536 |
|
|
void |
537 |
|
|
_limnQN12checker_QNtoV_f(float *vec, unsigned int qn) { |
538 |
|
|
unsigned int ui, vi; |
539 |
|
|
double u, v, x, y, z, n; |
540 |
|
|
|
541 |
|
|
_EVEN_CHECK_QtoV(6, float, vec, qn); |
542 |
|
|
} |
543 |
|
|
|
544 |
|
|
void |
545 |
|
|
_limnQN12checker_QNtoV_d(double *vec, unsigned int qn) { |
546 |
|
|
unsigned int ui, vi; |
547 |
|
|
double u, v, x, y, z, n; |
548 |
|
|
|
549 |
|
|
_EVEN_CHECK_QtoV(6, double, vec, qn); |
550 |
|
|
} |
551 |
|
|
|
552 |
|
|
unsigned int |
553 |
|
|
_limnQN12checker_VtoQN_f(const float *vec) { |
554 |
|
|
double L, x, y, z; |
555 |
|
|
unsigned int xi, yi, ui, vi; |
556 |
|
|
|
557 |
|
|
_EVEN_CHECK_VtoQ(6, vec); |
558 |
|
|
} |
559 |
|
|
|
560 |
|
|
unsigned int |
561 |
|
|
_limnQN12checker_VtoQN_d(const double *vec) { |
562 |
|
|
double L, x, y, z; |
563 |
|
|
unsigned int xi, yi, ui, vi; |
564 |
|
|
|
565 |
|
|
_EVEN_CHECK_VtoQ(6, vec); |
566 |
|
|
} |
567 |
|
|
|
568 |
|
|
/* ---------------------------------------------------------------- */ |
569 |
|
|
|
570 |
|
|
void |
571 |
|
|
_limnQN12octa_QNtoV_f(float *vec, unsigned int qn) { |
572 |
|
|
unsigned int xi, yi; |
573 |
|
|
double x, y, z, n; |
574 |
|
|
|
575 |
|
|
_EVEN_OCTA_QtoV(6, float, vec, qn); |
576 |
|
|
} |
577 |
|
|
|
578 |
|
|
void |
579 |
|
|
_limnQN12octa_QNtoV_d(double *vec, unsigned int qn) { |
580 |
|
|
unsigned int xi, yi; |
581 |
|
|
double x, y, z, n; |
582 |
|
|
|
583 |
|
|
_EVEN_OCTA_QtoV(6, double, vec, qn); |
584 |
|
|
} |
585 |
|
|
|
586 |
|
|
unsigned int |
587 |
|
|
_limnQN12octa_VtoQN_f(const float *vec) { |
588 |
|
|
double L, x, y, z; |
589 |
|
|
unsigned int xi, yi; |
590 |
|
|
|
591 |
|
|
_EVEN_OCTA_VtoQ(6, vec); |
592 |
|
|
} |
593 |
|
|
|
594 |
|
|
unsigned int |
595 |
|
|
_limnQN12octa_VtoQN_d(const double *vec) { |
596 |
|
|
double L, x, y, z; |
597 |
|
|
unsigned int xi, yi; |
598 |
|
|
|
599 |
|
|
_EVEN_OCTA_VtoQ(6, vec); |
600 |
|
|
} |
601 |
|
|
|
602 |
|
|
/* ----------------------------------------------------------- */ |
603 |
|
|
|
604 |
|
|
void |
605 |
|
|
_limnQN11octa_QNtoV_f(float *vec, unsigned int qn) { |
606 |
|
|
unsigned int ui, vi, zi; |
607 |
|
|
float u, v, x, y, z, n; |
608 |
|
|
|
609 |
|
|
_ODD_OCTA_QtoV(5, float, vec, qn); |
610 |
|
|
} |
611 |
|
|
|
612 |
|
|
void |
613 |
|
|
_limnQN11octa_QNtoV_d(double *vec, unsigned int qn) { |
614 |
|
|
unsigned int ui, vi, zi; |
615 |
|
|
double u, v, x, y, z, n; |
616 |
|
|
|
617 |
|
|
_ODD_OCTA_QtoV(5, double, vec, qn); |
618 |
|
|
} |
619 |
|
|
|
620 |
|
|
unsigned int |
621 |
|
|
_limnQN11octa_VtoQN_f(const float *vec) { |
622 |
|
|
float L, u, v, x, y, z; |
623 |
|
|
unsigned int ui, vi, zi; |
624 |
|
|
|
625 |
|
|
_ODD_OCTA_VtoQ(5, vec); |
626 |
|
|
} |
627 |
|
|
|
628 |
|
|
unsigned int |
629 |
|
|
_limnQN11octa_VtoQN_d(const double *vec) { |
630 |
|
|
double L, u, v, x, y, z; |
631 |
|
|
unsigned int ui, vi, zi; |
632 |
|
|
|
633 |
|
|
_ODD_OCTA_VtoQ(5, vec); |
634 |
|
|
} |
635 |
|
|
|
636 |
|
|
/* ----------------------------------------------------------- */ |
637 |
|
|
|
638 |
|
|
void |
639 |
|
|
_limnQN10checker_QNtoV_f(float *vec, unsigned int qn) { |
640 |
|
|
unsigned int ui, vi; |
641 |
|
|
double u, v, x, y, z, n; |
642 |
|
|
|
643 |
|
|
_EVEN_CHECK_QtoV(5, float, vec, qn); |
644 |
|
|
} |
645 |
|
|
|
646 |
|
|
void |
647 |
|
|
_limnQN10checker_QNtoV_d(double *vec, unsigned int qn) { |
648 |
|
|
unsigned int ui, vi; |
649 |
|
|
double u, v, x, y, z, n; |
650 |
|
|
|
651 |
|
|
_EVEN_CHECK_QtoV(5, double, vec, qn); |
652 |
|
|
} |
653 |
|
|
|
654 |
|
|
unsigned int |
655 |
|
|
_limnQN10checker_VtoQN_f(const float *vec) { |
656 |
|
|
double L, x, y, z; |
657 |
|
|
unsigned int xi, yi, ui, vi; |
658 |
|
|
|
659 |
|
|
_EVEN_CHECK_VtoQ(5, vec); |
660 |
|
|
} |
661 |
|
|
|
662 |
|
|
unsigned int |
663 |
|
|
_limnQN10checker_VtoQN_d(const double *vec) { |
664 |
|
|
double L, x, y, z; |
665 |
|
|
unsigned int xi, yi, ui, vi; |
666 |
|
|
|
667 |
|
|
_EVEN_CHECK_VtoQ(5, vec); |
668 |
|
|
} |
669 |
|
|
|
670 |
|
|
/* ---------------------------------------------------------------- */ |
671 |
|
|
|
672 |
|
|
void |
673 |
|
|
_limnQN10octa_QNtoV_f(float *vec, unsigned int qn) { |
674 |
|
|
unsigned int xi, yi; |
675 |
|
|
double x, y, z, n; |
676 |
|
|
|
677 |
|
|
_EVEN_OCTA_QtoV(5, float, vec, qn); |
678 |
|
|
} |
679 |
|
|
|
680 |
|
|
void |
681 |
|
|
_limnQN10octa_QNtoV_d(double *vec, unsigned int qn) { |
682 |
|
|
unsigned int xi, yi; |
683 |
|
|
double x, y, z, n; |
684 |
|
|
|
685 |
|
|
_EVEN_OCTA_QtoV(5, double, vec, qn); |
686 |
|
|
} |
687 |
|
|
|
688 |
|
|
unsigned int |
689 |
|
|
_limnQN10octa_VtoQN_f(const float *vec) { |
690 |
|
|
double L, x, y, z; |
691 |
|
|
unsigned int xi, yi; |
692 |
|
|
|
693 |
|
|
_EVEN_OCTA_VtoQ(5, vec); |
694 |
|
|
} |
695 |
|
|
|
696 |
|
|
unsigned int |
697 |
|
|
_limnQN10octa_VtoQN_d(const double *vec) { |
698 |
|
|
double L, x, y, z; |
699 |
|
|
unsigned int xi, yi; |
700 |
|
|
|
701 |
|
|
_EVEN_OCTA_VtoQ(5, vec); |
702 |
|
|
} |
703 |
|
|
|
704 |
|
|
/* ----------------------------------------------------------- */ |
705 |
|
|
void |
706 |
|
|
_limnQN9octa_QNtoV_f(float *vec, unsigned int qn) { |
707 |
|
|
unsigned int ui, vi, zi; |
708 |
|
|
float u, v, x, y, z, n; |
709 |
|
|
|
710 |
|
|
_ODD_OCTA_QtoV(4, float, vec, qn); |
711 |
|
|
} |
712 |
|
|
|
713 |
|
|
void |
714 |
|
|
_limnQN9octa_QNtoV_d(double *vec, unsigned int qn) { |
715 |
|
|
unsigned int ui, vi, zi; |
716 |
|
|
double u, v, x, y, z, n; |
717 |
|
|
|
718 |
|
|
_ODD_OCTA_QtoV(4, double, vec, qn); |
719 |
|
|
} |
720 |
|
|
|
721 |
|
|
unsigned int |
722 |
|
|
_limnQN9octa_VtoQN_f(const float *vec) { |
723 |
|
|
float L, u, v, x, y, z; |
724 |
|
|
unsigned int ui, vi, zi; |
725 |
|
|
|
726 |
|
|
_ODD_OCTA_VtoQ(4, vec); |
727 |
|
|
} |
728 |
|
|
|
729 |
|
|
unsigned int |
730 |
|
|
_limnQN9octa_VtoQN_d(const double *vec) { |
731 |
|
|
double L, u, v, x, y, z; |
732 |
|
|
unsigned int ui, vi, zi; |
733 |
|
|
|
734 |
|
|
_ODD_OCTA_VtoQ(4, vec); |
735 |
|
|
} |
736 |
|
|
|
737 |
|
|
/* ----------------------------------------------------------- */ |
738 |
|
|
|
739 |
|
|
void |
740 |
|
|
_limnQN8checker_QNtoV_f(float *vec, unsigned int qn) { |
741 |
|
|
unsigned int ui, vi; |
742 |
|
|
double u, v, x, y, z, n; |
743 |
|
|
|
744 |
|
|
_EVEN_CHECK_QtoV(4, float, vec, qn); |
745 |
|
|
} |
746 |
|
|
|
747 |
|
|
void |
748 |
|
|
_limnQN8checker_QNtoV_d(double *vec, unsigned int qn) { |
749 |
|
|
unsigned int ui, vi; |
750 |
|
|
double u, v, x, y, z, n; |
751 |
|
|
|
752 |
|
|
_EVEN_CHECK_QtoV(4, double, vec, qn); |
753 |
|
|
} |
754 |
|
|
|
755 |
|
|
unsigned int |
756 |
|
|
_limnQN8checker_VtoQN_f(const float *vec) { |
757 |
|
|
double L, x, y, z; |
758 |
|
|
unsigned int xi, yi, ui, vi; |
759 |
|
|
|
760 |
|
|
_EVEN_CHECK_VtoQ(4, vec); |
761 |
|
|
} |
762 |
|
|
|
763 |
|
|
unsigned int |
764 |
|
|
_limnQN8checker_VtoQN_d(const double *vec) { |
765 |
|
|
double L, x, y, z; |
766 |
|
|
unsigned int xi, yi, ui, vi; |
767 |
|
|
|
768 |
|
|
_EVEN_CHECK_VtoQ(4, vec); |
769 |
|
|
} |
770 |
|
|
|
771 |
|
|
/* ---------------------------------------------------------------- */ |
772 |
|
|
|
773 |
|
|
void |
774 |
|
|
_limnQN8octa_QNtoV_f(float *vec, unsigned int qn) { |
775 |
|
|
unsigned int xi, yi; |
776 |
|
|
double x, y, z, n; |
777 |
|
|
|
778 |
|
|
_EVEN_OCTA_QtoV(4, float, vec, qn); |
779 |
|
|
} |
780 |
|
|
|
781 |
|
|
void |
782 |
|
|
_limnQN8octa_QNtoV_d(double *vec, unsigned int qn) { |
783 |
|
|
unsigned int xi, yi; |
784 |
|
|
double x, y, z, n; |
785 |
|
|
|
786 |
|
|
_EVEN_OCTA_QtoV(4, double, vec, qn); |
787 |
|
|
} |
788 |
|
|
|
789 |
|
|
unsigned int |
790 |
|
|
_limnQN8octa_VtoQN_f(const float *vec) { |
791 |
|
|
double L, x, y, z; |
792 |
|
|
unsigned int xi, yi; |
793 |
|
|
|
794 |
|
|
_EVEN_OCTA_VtoQ(4, vec); |
795 |
|
|
} |
796 |
|
|
|
797 |
|
|
unsigned int |
798 |
|
|
_limnQN8octa_VtoQN_d(const double *vec) { |
799 |
|
|
double L, x, y, z; |
800 |
|
|
unsigned int xi, yi; |
801 |
|
|
|
802 |
|
|
_EVEN_OCTA_VtoQ(4, vec); |
803 |
|
|
} |
804 |
|
|
|
805 |
|
|
/* ----------------------------------------------------------- */ |
806 |
|
|
|
807 |
|
|
void (* |
808 |
|
|
limnQNtoV_f[LIMN_QN_MAX+1])(float *, unsigned int) = { |
809 |
|
|
NULL, |
810 |
|
|
_limnQN16simple_QNtoV_f, |
811 |
|
|
_limnQN16border1_QNtoV_f, |
812 |
|
|
_limnQN16checker_QNtoV_f, |
813 |
|
|
_limnQN16octa_QNtoV_f, |
814 |
|
|
_limnQN15octa_QNtoV_f, |
815 |
|
|
_limnQN14checker_QNtoV_f, |
816 |
|
|
_limnQN14octa_QNtoV_f, |
817 |
|
|
_limnQN13octa_QNtoV_f, |
818 |
|
|
_limnQN12checker_QNtoV_f, |
819 |
|
|
_limnQN12octa_QNtoV_f, |
820 |
|
|
_limnQN11octa_QNtoV_f, |
821 |
|
|
_limnQN10checker_QNtoV_f, |
822 |
|
|
_limnQN10octa_QNtoV_f, |
823 |
|
|
_limnQN9octa_QNtoV_f, |
824 |
|
|
_limnQN8checker_QNtoV_f, |
825 |
|
|
_limnQN8octa_QNtoV_f |
826 |
|
|
}; |
827 |
|
|
|
828 |
|
|
void (* |
829 |
|
|
limnQNtoV_d[LIMN_QN_MAX+1])(double *, unsigned int) = { |
830 |
|
|
NULL, |
831 |
|
|
NULL, |
832 |
|
|
NULL, |
833 |
|
|
_limnQN16checker_QNtoV_d, |
834 |
|
|
_limnQN16octa_QNtoV_d, |
835 |
|
|
_limnQN15octa_QNtoV_d, |
836 |
|
|
_limnQN14checker_QNtoV_d, |
837 |
|
|
_limnQN14octa_QNtoV_d, |
838 |
|
|
_limnQN13octa_QNtoV_d, |
839 |
|
|
_limnQN12checker_QNtoV_d, |
840 |
|
|
_limnQN12octa_QNtoV_d, |
841 |
|
|
_limnQN11octa_QNtoV_d, |
842 |
|
|
_limnQN10checker_QNtoV_d, |
843 |
|
|
_limnQN10octa_QNtoV_d, |
844 |
|
|
_limnQN9octa_QNtoV_d, |
845 |
|
|
_limnQN8checker_QNtoV_d, |
846 |
|
|
_limnQN8octa_QNtoV_d |
847 |
|
|
}; |
848 |
|
|
|
849 |
|
|
unsigned int (* |
850 |
|
|
limnVtoQN_f[LIMN_QN_MAX+1])(const float *vec) = { |
851 |
|
|
NULL, |
852 |
|
|
_limnQN16simple_VtoQN_f, |
853 |
|
|
_limnQN16border1_VtoQN_f, |
854 |
|
|
_limnQN16checker_VtoQN_f, |
855 |
|
|
_limnQN16octa_VtoQN_f, |
856 |
|
|
_limnQN15octa_VtoQN_f, |
857 |
|
|
_limnQN14checker_VtoQN_f, |
858 |
|
|
_limnQN14octa_VtoQN_f, |
859 |
|
|
_limnQN13octa_VtoQN_f, |
860 |
|
|
_limnQN12checker_VtoQN_f, |
861 |
|
|
_limnQN12octa_VtoQN_f, |
862 |
|
|
_limnQN11octa_VtoQN_f, |
863 |
|
|
_limnQN10checker_VtoQN_f, |
864 |
|
|
_limnQN10octa_VtoQN_f, |
865 |
|
|
_limnQN9octa_VtoQN_f, |
866 |
|
|
_limnQN8checker_VtoQN_f, |
867 |
|
|
_limnQN8octa_VtoQN_f |
868 |
|
|
}; |
869 |
|
|
|
870 |
|
|
unsigned int (* |
871 |
|
|
limnVtoQN_d[LIMN_QN_MAX+1])(const double *vec) = { |
872 |
|
|
NULL, |
873 |
|
|
NULL, |
874 |
|
|
NULL, |
875 |
|
|
_limnQN16checker_VtoQN_d, |
876 |
|
|
_limnQN16octa_VtoQN_d, |
877 |
|
|
_limnQN15octa_VtoQN_d, |
878 |
|
|
_limnQN14checker_VtoQN_d, |
879 |
|
|
_limnQN14octa_VtoQN_d, |
880 |
|
|
_limnQN13octa_VtoQN_d, |
881 |
|
|
_limnQN12checker_VtoQN_d, |
882 |
|
|
_limnQN12octa_VtoQN_d, |
883 |
|
|
_limnQN11octa_VtoQN_d, |
884 |
|
|
_limnQN10checker_VtoQN_d, |
885 |
|
|
_limnQN10octa_VtoQN_d, |
886 |
|
|
_limnQN9octa_VtoQN_d, |
887 |
|
|
_limnQN8checker_VtoQN_d, |
888 |
|
|
_limnQN8octa_VtoQN_d |
889 |
|
|
}; |
890 |
|
|
|
891 |
|
|
unsigned int |
892 |
|
|
limnQNBins[LIMN_QN_MAX+1] = { |
893 |
|
|
0, |
894 |
|
|
(1 << 16), |
895 |
|
|
(1 << 16), |
896 |
|
|
(1 << 16), |
897 |
|
|
(1 << 16), |
898 |
|
|
(1 << 15), |
899 |
|
|
(1 << 14), |
900 |
|
|
(1 << 14), |
901 |
|
|
(1 << 13), |
902 |
|
|
(1 << 12), |
903 |
|
|
(1 << 12), |
904 |
|
|
(1 << 11), |
905 |
|
|
(1 << 10), |
906 |
|
|
(1 << 10), |
907 |
|
|
(1 << 9), |
908 |
|
|
(1 << 8), |
909 |
|
|
(1 << 8) |
910 |
|
|
}; |
911 |
|
|
|
912 |
|
|
/* |
913 |
|
|
** can use via test/tqn: |
914 |
|
|
foreach Q ( 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 ) |
915 |
|
|
echo $Q |
916 |
|
|
test/tqn -s 400 -q $Q \ |
917 |
|
|
| unu tile -a 2 0 1 -s 2 3 \ |
918 |
|
|
| unu tile -a 2 0 1 -s 2 1 | unu quantize -b 8 -o q${Q}.png |
919 |
|
|
end |
920 |
|
|
*/ |
921 |
|
|
int |
922 |
|
|
limnQNDemo(Nrrd *nqn, unsigned int reso, int qni) { |
923 |
|
|
static const char me[]="limnQNDemo"; |
924 |
|
|
unsigned int ui, vi, oi; |
925 |
|
|
double *qdata, ll, uu, vv, ww, vecd[3], unqd[3]; |
926 |
|
|
float vecf[3], unqf[3]; |
927 |
|
|
|
928 |
|
|
if (!nqn) { |
929 |
|
|
biffAddf(LIMN, "%s: got NULL pointer", me); |
930 |
|
|
return 1; |
931 |
|
|
} |
932 |
|
|
if (nrrdMaybeAlloc_va(nqn, nrrdTypeDouble, 4, |
933 |
|
|
AIR_CAST(size_t, reso), |
934 |
|
|
AIR_CAST(size_t, reso), |
935 |
|
|
AIR_CAST(size_t, 6), |
936 |
|
|
AIR_CAST(size_t, 2))){ |
937 |
|
|
biffMovef(LIMN, NRRD, "%s: couldn't alloc output", me); |
938 |
|
|
return 1; |
939 |
|
|
} |
940 |
|
|
if (!(limnQNUnknown < qni && qni < limnQNLast)) { |
941 |
|
|
biffAddf(LIMN, "%s: qni %d not in valid range [%d,%d]", me, |
942 |
|
|
qni, limnQNUnknown+1, limnQNLast-1); |
943 |
|
|
return 1; |
944 |
|
|
} |
945 |
|
|
qdata = AIR_CAST(double *, nqn->data); |
946 |
|
|
for (oi=0; oi<6; oi++) { |
947 |
|
|
for (vi=0; vi<reso; vi++) { |
948 |
|
|
vv = AIR_AFFINE(0, vi, reso-1, 1, -1); |
949 |
|
|
for (ui=0; ui<reso; ui++) { |
950 |
|
|
uu = AIR_AFFINE(0, ui, reso-1, -1, 1); |
951 |
|
|
ll = uu*uu + vv*vv; |
952 |
|
|
if (ll <= 1) { |
953 |
|
|
ww = sqrt(1 - ll); |
954 |
|
|
if (oi % 2) { |
955 |
|
|
ww *= -1; |
956 |
|
|
} |
957 |
|
|
} else { |
958 |
|
|
continue; |
959 |
|
|
} |
960 |
|
|
switch (oi) { |
961 |
|
|
case 0: |
962 |
|
|
case 1: |
963 |
|
|
ELL_3V_SET(vecd, uu, vv, ww); |
964 |
|
|
ELL_3V_SET_TT(vecf, float, uu, vv, ww); |
965 |
|
|
break; |
966 |
|
|
case 2: |
967 |
|
|
case 3: |
968 |
|
|
ELL_3V_SET(vecd, uu, ww, vv); |
969 |
|
|
ELL_3V_SET_TT(vecf, float, uu, ww, vv); |
970 |
|
|
break; |
971 |
|
|
case 4: |
972 |
|
|
case 5: |
973 |
|
|
ELL_3V_SET(vecd, ww, uu, vv); |
974 |
|
|
ELL_3V_SET_TT(vecf, float, ww, uu, vv); |
975 |
|
|
break; |
976 |
|
|
} |
977 |
|
|
if (limnVtoQN_d[qni] && limnQNtoV_d[qni]) { |
978 |
|
|
(limnQNtoV_d[qni])(unqd, (limnVtoQN_d[qni])(vecd)); |
979 |
|
|
qdata[ui + reso*(vi + reso*(oi + 6))] = ell_3v_angle_d(unqd, vecd); |
980 |
|
|
} |
981 |
|
|
if (limnVtoQN_f[qni] && limnQNtoV_f[qni]) { |
982 |
|
|
(limnQNtoV_f[qni])(unqf, (limnVtoQN_f[qni])(vecf)); |
983 |
|
|
qdata[ui + reso*(vi + reso*(oi + 0))] = ell_3v_angle_f(unqf, vecf); |
984 |
|
|
} |
985 |
|
|
} |
986 |
|
|
} |
987 |
|
|
} |
988 |
|
|
return 0; |
989 |
|
|
} |