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MKGAOL.FOR
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MKGAOL.FOR
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C MKGAOL -- Make GAOL (make lots of cells)
C a subroutine of
C Bravais General Analysis of Lattices (BGAOL)
C The Program formerly known as ITERATE
C
C Lawrence C Andrews[1] and Herbert J. Bernstein[2,*]
C
C [1] Micro Encoder Inc., 11533 NE 118th St, #200,
C Kirkland, WA 98034-7111 USA
C [2] Dowling College, 1300 William Floyd Parkway,
C Shirley, NY 11967 USA
C [*] To whom correspondence should be addressed.
C Email: [email protected]
C
C Copyright 1996, 2012, all rights reserved
C
C*******************************************************
C You may redistribute this program under the terms
C of the GPL.
C
C ALternatively you may redistribute this functions
C and subroutines of this program as an API under the
C terms of the LGPL
C*******************************************************
C*************************** GPL NOTICES ******************************
C* *
C* This program is free software; you can redistribute it and/or *
C* modify it under the terms of the GNU General Public License as *
C* published by the Free Software Foundation; either version 2 of *
C* (the License, or (at your option) any later version. *
C* *
C* This program is distributed in the hope that it will be useful, *
C* but WITHOUT ANY WARRANTY; without even the implied warranty of *
C* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
C* GNU General Public License for more details. *
C* *
C* You should have received a copy of the GNU General Public License *
C* along with this program; if not, write to the Free Software *
C* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA *
C* 02111-1307 USA *
C* *
C**********************************************************************/
C************************* LGPL NOTICES *******************************
C* *
C* This library is free software; you can redistribute it and/or *
C* modify it under the terms of the GNU Lesser General Public *
C* License as published by the Free Software Foundation; either *
C* version 2.1 of the License, or (at your option) any later version. *
C* *
C* This library is distributed in the hope that it will be useful, *
C* but WITHOUT ANY WARRANTY; without even the implied warranty of *
C* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
C* Lesser General Public License for more details. *
C* *
C* You should have received a copy of the GNU Lesser General Public *
C* License along with this library; if not, write to the Free *
C* Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, *
C* MA 02110-1301 USA *
C* *
BLOCK DATA PRJS
real*8 prj(36,25), prjperp(36,25)
real*8 prjhat(36,15)
integer ms(36,18)
common /projectors/ prj,prjperp,prjhat,ms
C The projectors for the 15 base types (5-D boundaries
C in G6), plus a few extra for internal boundaries
C case1
data (prj(i,1),i=1,36) /
* .5D0,.5D0,0.D0,0.D0,0.D0,0.D0,
* .5D0,.5D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,1.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,1.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,1.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,1.D0 /
data (prjhat(i,1),i=1,36) /
* .5D0,.5D0,0.D0,0.D0,0.D0,0.D0,
* .5D0,.5D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,1.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,.5D0,.5D0,0.D0,
* 0.D0,0.D0,0.D0,.5D0,.5D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,1.D0 /
data (prjperp(i,1),i=1,36) /
* .5D0,-.5D0,0.D0,0.D0,0.D0,0.D0,
* -.5D0, .5D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0, 0.D0,0.D0,0.D0,0.D0,0.D0 /
C case2
data (prj(i,2),i=1,36) /
* 1.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,.5D0,.5D0,0.D0,0.D0,0.D0,
* 0.D0,.5D0,.5D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,1.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,1.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,1.D0 /
data (prjhat(i,2),i=1,36) /
* 1.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,.5D0,.5D0,0.D0,0.D0,0.D0,
* 0.D0,.5D0,.5D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,1.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,.5D0,.5D0,
* 0.D0,0.D0,0.D0,0.D0,.5D0,.5D0 /
data (prjperp(i,2),i=1,36) /
* 0.D0, 0.D0, 0.D0,0.D0,0.D0,0.D0,
* 0.D0, .5D0,-.5D0,0.D0,0.D0,0.D0,
* 0.D0,-.5D0, .5D0,0.D0,0.D0,0.D0,
* 0.D0, 0.D0, 0.D0,0.D0,0.D0,0.D0,
* 0.D0, 0.D0, 0.D0,0.D0,0.D0,0.D0,
* 0.D0, 0.D0, 0.D0,0.D0,0.D0,0.D0 /
C case3
data (prj(i,3),i=1,36) /
* 1.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,1.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,1.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,1.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,1.D0 /
data (prjhat(i,3),i=1,36) /
* 1.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,1.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,1.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0 /
data (prjperp(i,3),i=1,36) /
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,1.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0 /
C case4
data (prj(i,4),i=1,36) /
* 1.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,1.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,1.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,1.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,1.D0 /
data (prjhat(i,4),i=1,36) /
* 1.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,1.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,1.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0 /
data (prjperp(i,4),i=1,36) /
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,1.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0 /
C case5
data (prj(i,5),i=1,36) /
* 1.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,1.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,1.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,1.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,1.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0 /
data (prjhat(i,5),i=1,36) /
* 1.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,1.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,1.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0 /
data (prjperp(i,5),i=1,36) /
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
* 0.D0,0.D0,0.D0,0.D0,0.D0,1.D0 /
C case6
data (prj(i,6),i=1,36) /
* 1.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 1.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 1.D0 /
data (prjhat(i,6),i=1,36) /
* 1.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, .2D0, .4D0,
* 0.D0, 0.D0, 0.D0, 0.D0, .4D0, .8D0 /
data (prjperp(i,6),i=1,36) /
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, -.5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, -.5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0 /
C case7
data (prj(i,7),i=1,36) /
* 1.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 1.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 1.D0 /
data (prjhat(i,7),i=1,36) /
* 1.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, .2D0, .4D0,
* 0.D0, 0.D0, 0.D0, 0.D0, .4D0, .8D0 /
data (prjperp(i,7),i=1,36) /
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0,-.5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0,-.5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0 /
C case8
data (prj(i,8),i=1,36) /
* 1.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, -.5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, -.5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 1.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 1.D0 /
data (prjperp(i,8),i=1,36) /
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0 /
C case9
data (prj(i,9),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 1.D0, 0.D0, 0.D0,
* .5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 1.D0 /
data (prjhat(i,9),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .2D0, 0.D0, .4D0,
* .5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .4D0, 0.D0, .8D0 /
data (prjperp(i,9),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0,-.5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* -.5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0 /
C caseA
data (prj(i,10),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 1.D0, 0.D0, 0.D0,
* .5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 1.D0 /
data (prjhat(i,10),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .2D0, 0.D0, .4D0,
* .5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .4D0, 0.D0, .8D0 /
data (prjperp(i,10),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0,-.5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* -.5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0 /
C caseB
data (prj(i,11),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, -.5D0, 0.D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 1.D0, 0.D0, 0.D0,
* -.5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 1.D0 /
data (prjperp(i,11),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* .5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0 /
C caseC
data (prj(i,12),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 1.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 1.D0, 0.D0,
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0 /
data (prjhat(i,12),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .2D0, .4D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .4D0, .8D0, 0.D0,
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0 /
data (prjperp(i,12),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0,-.5D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* -.5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0 /
C caseD
data (prj(i,13),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 1.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 1.D0, 0.D0,
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0 /
data (prjhat(i,13),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .2D0, .4D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .4D0, .8D0, 0.D0,
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0 /
data (prjperp(i,13),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0,-.5D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* -.5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0 /
C caseE
data (prj(i,14),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, -.5D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 1.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 1.D0, 0.D0,
* -.5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0 /
data (prjperp(i,14),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0 /
C caseF
data (prj(i,15),i=1,36) /
* .8D0,-.2D0, 0.D0,-.2D0,-.2D0,-.2D0,
* -.2D0, .8D0, 0.D0,-.2D0,-.2D0,-.2D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* -.2D0,-.2D0, 0.D0, .8D0,-.2D0,-.2D0,
* -.2D0,-.2D0, 0.D0,-.2D0, .8D0,-.2D0,
* -.2D0,-.2D0, 0.D0,-.2D0,-.2D0, .8D0 /
data (prjhat(i,15),i=1,36) /
* .55D0, .05D0, 0.D0, .05D0,-.45D0,-.2D0,
* .05D0, .55D0, 0.D0,-.45D0, .05D0,-.2D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* .05D0,-.45D0, 0.D0, .55D0, .05D0,-.2D0,
*-.45D0, .05D0, 0.D0, .05D0, .55D0,-.2D0,
* -.2D0, -.2D0, 0.D0, -.2D0, -.2D0, .8D0 /
data (prjperp(i,15),i=1,36) /
* .2D0, .2D0, 0.D0, .2D0, .2D0, .2D0,
* .2D0, .2D0, 0.D0, .2D0, .2D0, .2D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* .2D0, .2D0, 0.D0, .2D0, .2D0, .2D0,
* .2D0, .2D0, 0.D0, .2D0, .2D0, .2D0,
* .2D0, .2D0, 0.D0, .2D0, .2D0, .2D0 /
C case678X g2=g4=g5=g6=0
data (prj(i,16),i=1,36) /
* 1.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0 /
data (prjperp(i,16),i=1,36) /
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 1.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 1.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 1.D0 /
C case9ABCDEX g1=g4=g5=g6=0
data (prj(i,17),i=1,36) /
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0 /
data (prjperp(i,17),i=1,36) /
* 1.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 1.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 1.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 1.D0 /
C caseFX g1=g2=g4=g5=g6=0
data (prj(i,18),i=1,36) /
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0 /
data (prjperp(i,18),i=1,36) /
* 1.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 1.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 1.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 1.D0 /
C DATA boundary67 /
data (prj(i,19),i=1,36) /
* 1.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, .5D0, .5D0,
* 0.D0, 0.D0, 0.D0, 0.D0, .5D0, .5D0 /
data (prjperp(i,19),i=1,36) /
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0, -.5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, -.5D0, 0.D0, .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, .5D0, -.5D0,
* 0.D0, 0.D0, 0.D0, 0.D0, -.5D0, .5D0 /
C DATA boundary9A /
data (prj(i,20),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .5D0, 0.D0, .5D0,
* .5D0, 0.D0, 0.D0, 0.D0, .5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .5D0, 0.D0, .5D0 /
data (prjperp(i,20),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, -.5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .5D0, 0.D0, -.5D0,
* -.5D0, 0.D0, 0.D0, 0.D0, -.5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, -.5D0, 0.D0, .5D0 /
C DATA boundaryCD /
data (prj(i,21),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0,
* 0.D0, 1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .5D0, .5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .5D0, .5D0, 0.D0,
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0 /
data (prjperp(i,21),i=1,36) /
* .5D0, 0.D0, 0.D0, 0.D0, 0.D0, -.5D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, .5D0, -.5D0, 0.D0,
* 0.D0, 0.D0, 0.D0, -.5D0, .5D0, 0.D0,
* -.5D0, 0.D0, 0.D0, 0.D0, 0.D0, .5D0 /
C case boundary12 g1=g2=g3
data (prj(i,22),i=1,36) /
* 0.3333333333D0, 0.3333333333D0,0.3333333333D0,
* 0.D0, 0.D0, 0.D0,
* 0.3333333333D0, 0.3333333333D0,0.3333333333D0,
* 0.D0, 0.D0, 0.D0,
* 0.3333333333D0, 0.3333333333D0,0.3333333333D0,
* 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 1.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 1.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 1.D0 /
data (prjperp(i,22),i=1,36) /
* 0.6666666667D0,-0.3333333333D0,-0.3333333333D0,
* 0.D0, 0.D0, 0.D0,
* -0.3333333333D0, 0.6666666667D0,-0.3333333333D0,
* 0.D0, 0.D0, 0.D0,
* -0.3333333333D0,-0.3333333333D0, 0.6666666667D0,
* 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0 /
C case boundary 8F g4=-g2, g1+g2+g4+g5+g6 = 0
data (prj(i,23),i=1,36) /
* 0.6666666667D0, 0.D0, 0.D0,
* 0.D0,-0.3333333333D0,-0.3333333333D0,
* 0.D0, .5D0, 0.D0,
* -.5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 1.D0,
* 0.D0, 0.D0, 0.D0,
* 0.D0, -.5D0, 0.D0,
* .5D0, 0.D0, 0.D0,
* -0.3333333333D0, 0.D0, 0.D0,
* 0.D0, 0.6666666667D0,-0.3333333333D0,
* -0.3333333333D0, 0.D0, 0.D0,
* 0.D0, -0.3333333333D0, 0.6666666667D0/
data (prjperp(i,23),i=1,36) /
* 0.3333333333D0, 0.D0, 0.D0,
* 0.D0, 0.3333333333D0, 0.3333333333D0,
* 0.D0, .5D0, 0.D0,
* .5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0,
* .5D0, 0.D0, 0.D0,
* 0.3333333333D0, 0.D0, 0.D0,
* 0.D0, 0.3333333333D0, 0.3333333333D0,
* 0.3333333333D0, 0.D0, 0.D0,
* 0.D0, 0.3333333333D0, 0.3333333333D0/
C case boundary BF g5=-g1, g1+g2+g4+g5+g6 = 0
data (prj(i,24),i=1,36) /
* .5D0, 0.D0, 0.D0,
* 0.D0, -.5D0, 0.D0,
* 0.D0, 0.6666666667D0, 0.D0,
* -0.3333333333D0, 0.D0, -0.3333333333D0,
* 0.D0, 0.D0, 1.D0,
* 0.D0, 0.D0, 0.D0,
* 0.D0,-0.3333333333D0, 0.D0,
* 0.6666666667D0, 0.D0, -0.3333333333D0,
* -.5D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0,
* 0.D0, -0.3333333333D0, 0.D0,
* -0.3333333333D0, 0.D0, 0.6666666667D0/
data (prjperp(i,24),i=1,36) /
* .5D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0,
* 0.D0, 0.3333333333D0, 0.D0,
* 0.3333333333D0, 0.D0, 0.3333333333D0,
* 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0,
* 0.D0, 0.3333333333D0, 0.D0,
* 0.3333333333D0, 0.D0, 0.3333333333D0,
* .5D0, 0.D0, 0.D0,
* 0.D0, .5D0, 0.D0,
* 0.D0, 0.3333333333D0, 0.D0,
* 0.3333333333D0, 0.D0, 0.3333333333D0/
C case boundary EF g6=-g1, g1+g2+g4+g5+g6 = 0
data (prj(i,25),i=1,36) /
* 0.5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, -0.5D0,
* 0.D0, 0.6666666667D0, 0.D0,
* -0.3333333333D0, -0.3333333333D0, 0.D0,
* 0.D0, 0.D0, 1.D0,
* 0.D0, 0.D0, 0.D0,
* 0.D0, -0.3333333333D0, 0.D0,
* 0.6666666667D0, -0.3333333333D0, 0.D0,
* 0.D0, -0.3333333333D0, 0.D0,
* -0.3333333333D0, 0.6666666667D0, 0.D0,
* -0.5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.5D0/
data (prjperp(i,25),i=1,36) /
* 0.5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.5D0,
* 0.D0, 0.3333333333D0, 0.D0,
* 0.3333333333D0, 0.3333333333D0, 0.D0,
* 0.D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.D0,
* 0.D0, 0.3333333333D0, 0.D0,
* 0.3333333333D0, 0.3333333333D0, 0.D0,
* 0.D0, 0.3333333333D0, 0.D0,
* 0.3333333333D0, 0.3333333333D0, 0.D0,
* 0.5D0, 0.D0, 0.D0,
* 0.D0, 0.D0, 0.5D0/
C
C The following matrices are the transformation
C matrices that may be applied at the associated
C boundaries
C
C M_1 (g1 = g2, a -> b, b -> a)
DATA (MS(I,1), I=1,36) /
2 0,1,0,0,0,0,
3 1,0,0,0,0,0,
4 0,0,1,0,0,0,
5 0,0,0,0,1,0,
6 0,0,0,1,0,0,
7 0,0,0,0,0,1 /
C M_2 (g2 = g3, b -> c, c -> b)
DATA (MS(I,2), I=1,36) /
2 1,0,0,0,0,0,
3 0,0,1,0,0,0,
4 0,1,0,0,0,0,
5 0,0,0,1,0,0,
6 0,0,0,0,0,1,
7 0,0,0,0,1,0 /
C M_3 (g4 = 0, a -> -a)
DATA (MS(I,3),I=1,36) /
2 1,0,0,0,0,0,
3 0,1,0,0,0,0,
4 0,0,1,0,0,0,
5 0,0,0,1,0,0,
6 0,0,0,0,-1,0,
7 0,0,0,0,0,-1 /
C M_4 (g5 = 0, b -> -b)
DATA (MS(I,4),I=1,36) /
2 1,0,0,0,0,0,
3 0,1,0,0,0,0,
4 0,0,1,0,0,0,
5 0,0,0,-1,0,0,
6 0,0,0,0,1,0,
7 0,0,0,0,0,-1 /
C M_5 (g6 = 0, c -> -c)
DATA (MS(I,5),I=1,36) /
2 1,0,0,0,0,0,
3 0,1,0,0,0,0,
4 0,0,1,0,0,0,
5 0,0,0,-1,0,0,
6 0,0,0,0,-1,0,
7 0,0,0,0,0,1 /
C M_6 (g2 = g4, g5 >= g6, b -> -b, c -> b - c)
DATA (MS(I,6),I=1,36) /
2 1, 0, 0, 0, 0, 0,
3 0, 1, 0, 0, 0, 0,
4 0, 1, 1,-1, 0, 0,
5 0,-2, 0, 1, 0, 0,
6 0, 0, 0, 0,-1, 1,
7 0, 0, 0, 0, 0,-1 /
C M_7 (g2 = g4, g5 < g6, c -> b - c)
DATA (MS(I,7),I=1,36) /
2 1, 0, 0, 0, 0, 0,
3 0, 1, 0, 0, 0, 0,
4 0, 1, 1,-1, 0, 0,
5 0, 2, 0,-1, 0, 0,
6 0, 0, 0, 0,-1, 1,
7 0, 0, 0, 0, 0, 1 /
C M_8 (g2 = -g4, a -> -a, c -> b + c)
DATA (MS(I,8),I=1,36) /
2 1, 0, 0, 0, 0, 0,
3 0, 1, 0, 0, 0, 0,
4 0, 1, 1, 1, 0, 0,
5 0, 2, 0, 1, 0, 0,
6 0, 0, 0, 0,-1,-1,
7 0, 0, 0, 0, 0,-1 /
C M_9 (g1 = g5, g4 >= g6, b -> -b, c -> c - a)
DATA (MS(I,9),I=1,36) /
2 1, 0, 0, 0, 0, 0,
3 0, 1, 0, 0, 0, 0,
4 1, 0, 1, 0,-1, 0,
5 0, 0, 0,-1, 0, 1,
6-2, 0, 0, 0, 1, 0,
7 0, 0, 0, 0, 0,-1 /
C M_A (g1 = g5, g4 < g6, c -> a - c)
DATA (MS(I,10),I=1,36) /
2 1, 0, 0, 0, 0, 0,
3 0, 1, 0, 0, 0, 0,
4 1, 0, 1, 0,-1, 0,
5 0, 0, 0,-1, 0, 1,
6 2, 0, 0, 0,-1, 0,
7 0, 0, 0, 0, 0, 1 /
C M_B (g1 = -g5, b -> -b, c -> a + c)
DATA (MS(I,11),I=1,36) /
2 1, 0, 0, 0, 0, 0,
3 0, 1, 0, 0, 0, 0,
4 1, 0, 1, 0, 1, 0,
5 0, 0, 0,-1, 0,-1,
6 2, 0, 0, 0, 1, 0,
7 0, 0, 0, 0, 0,-1 /
C M_C (g1 = g6, g4 >= g5, b -> -b, b -> b - a)
DATA (MS(I,12),I=1,36) /
2 1, 0, 0, 0, 0, 0,
3 1, 1, 0, 0, 0,-1,
4 0, 0, 1, 0, 0, 0,
5 0, 0, 0,-1, 1, 0,
6 0, 0, 0, 0,-1, 0,
7-2, 0, 0, 0, 0, 1 /
C M_D (g1 = g6, g4 < g5, b -> a - b)
DATA (MS(I,13),I=1,36) /
2 1, 0, 0, 0, 0, 0,
3 1, 1, 0, 0, 0,-1,
4 0, 0, 1, 0, 0, 0,
5 0, 0, 0,-1, 1, 0,
6 0, 0, 0, 0, 1, 0,
7 2, 0, 0, 0, 0,-1 /
C M_E (g1 = -g6, b -> a + b, c -> -c )
DATA (MS(I,14),I=1,36) /
2 1, 0, 0, 0, 0, 0,
3 1, 1, 0, 0, 0, 1,
4 0, 0, 1, 0, 0, 0,
5 0, 0, 0,-1,-1, 0,
6 0, 0, 0, 0,-1, 0,
7 2, 0, 0, 0, 0, 1 /
C M_F (g1+g2+g3+g4+g5+g6 = g3, c -> -(a+b+c))
DATA (MS(I,15),I=1,36) /
2 1, 0, 0, 0, 0, 0,
3 0, 1, 0, 0, 0, 0,
4 1, 1, 1, 1, 1, 1,
5 0,-2, 0,-1, 0,-1,
6-2, 0, 0, 0,-1,-1,
7 0, 0, 0, 0, 0, 1 /
C M_1.M_2 (a -> b, b -> c, c -> a)
DATA (MS(I,16), I=1,36) /
2 0,0,1,0,0,0,
3 1,0,0,0,0,0,
4 0,1,0,0,0,0,
5 0,0,0,0,0,1,
6 0,0,0,1,0,0,
7 0,0,0,0,1,0 /
C M_2.M_1 (a -> c, b -> a, c -> b)
DATA (MS(I,17), I=1,36) /
2 0,1,0,0,0,0,
3 0,0,1,0,0,0,
4 1,0,0,0,0,0,
5 0,0,0,0,1,0,
6 0,0,0,0,0,1,
7 0,0,0,1,0,0 /
C M_2.M_1.M_2 (a -> c, c -> a)
DATA (MS(I,18), I=1,36) /
2 0,0,1,0,0,0,
3 0,1,0,0,0,0,
4 1,0,0,0,0,0,
5 0,0,0,0,0,1,
6 0,0,0,0,1,0,
7 0,0,0,1,0,0/
END
Block Data histogram
integer ihist(22,36)
common /hist/ihist
data ihist/792*0/
end
C**********************************************************************/
C CALL MKGAOL (MXTREE,TREE,NVMAX,V,NV,GRED,GE,
C * RATIO, VDIST, IVB,'MKGAOL')
C**********************************************************************C
SUBROUTINE MKGAOL
* (MXTREE,TREE,NVMAX,V,NV,GRED,GE,RATIO,
* VDIST,IVB,TEST)
implicit none
integer mxswtc, mxtree, nvmax, nv
real*8 ratio
PARAMETER (MXSWTC=3)
CHARACTER *6 TEST
real*8 TREE(MXTREE), V(6,NVMAX), GRED(6), GE(6)
real*8 VDIST(NVMAX)
real*8 NEWGE(6)
real*8 VT(6),VTRED(6)
real*8 dmin, gerr, grmin
real*8 XDOTVN, NCDIST
integer IVB(NVMAX)
integer i, nv1, nexamined, id
integer nearst_N
real*8 SEEDS(6,15)
real*8 SEEDDIST(15)
LOGICAL GOODSEED(15)
LOGICAL NEARRED,NEAR2RED,NRED
real*8 dred
real*8 prj(36,25), prjperp(36,25)
real*8 prjhat(36,15)
integer ms(36,18)
common /projectors/ prj,prjperp,prjhat,ms
C----------------------------------------------------------------------C
IF (TEST .NE. 'MKGAOL') THEN
WRITE (*,*) ' TEST WAS WRONG IN MKGAOL'
STOP
ENDIF
C Make the perpendicular projectors
C Each of the PERP projectors takes a g6
C vector to the space othgonal to the
C corresponding PRJ. The length of that
C vector is therefore the distance to that
C polytope
C Generate seed points on each of the 15 boundaries
call GENSEEDS(GRED,GE,SEEDS,SEEDDIST,
* GOODSEED, PRJ, PRJPERP)
do i=1,MXTREE
Tree(i) = 0
enddo
NV = 0
gerr = DSQRT(XDOTVN(6,GRED,GRED))*RATIO
DMIN = min(0.05,0.1*DSQRT(XDOTVN(6,GRED,GRED))*RATIO)
grmin = gred(1)**2+gred(2)**2+gred(3)**2
if (DMIN.GT.999999999.9989D0) THEN
WRITE (*,'(a,G13.3)') ' DMIN IN MKGOAL ',DMIN
else
WRITE (*,'(a,F13.3)') ' DMIN IN MKGOAL ',DMIN
endif
C Populate the tree with the original cell and
C the nearby neighbors on the boundary
NV = NV+1
C write(*,*) "calling bldtre_n"
CALL BLDTRE_N (.FALSE., MXTREE,6, GRED,NV*16,TREE,'BLDTRE_N')
CALL CPYVN(6,GRED,V(1,NV))
nexamined = NV
IVB(NV) = 0
VDIST(NV) = 0.D0
C write(*,*)"SEED DIST",NV,SEEDDIST(NV)
C call printg6('Storing ',GRED)
C
C Add the good seeds that are not duplicates to
C the tree, and for each one apply the matrix
C for that boundary and if the image is nearly
C reduced, add that as well.
C
do i = 1,15
if (GOODSEED(i)) then
C write(*,'(a,Z2,6f9.2)')
C * "I, SEEDS(I) =",I, SEEDS(1,i),SEEDS(2,i),
C * SEEDS(3,i), SEEDS(4,i), SEEDS(5,i), SEEDS(6,i)
NV1 = NV + 1
IF (NEARST_N(.FALSE.,MXTREE,6,SEEDS(1,i),DMIN,TREE,NV1,ID,
* 'NEARST_N') .EQ. 0) THEN
NV = NV + 1
CALL BLDTRE_N (.FALSE., MXTREE,6, SEEDS(1,i),
* NV*16+i,TREE,'BLDTRE_N')
CALL CPYVN(6,SEEDS(1,i),V(1,NV))
IVB(NV) = 1
VDIST(NV) = SEEDDIST(i)
if (VDIST(NV).LT.1.D-4) VDIST(NV) = 0.D0
C write(*,*)"NV, SEED DIST",NV,VDIST(NV)
C call printg6('Store SEED ',SEEDS(1,i))
ENDIF
call imv6(SEEDS(1,i),MS(1,i),vt)
NV1 = NV+1
NRED=NEARRED(vt,1.0D-6,'NEARRED')
if (NRED) THEN
VDIST(NV1) = NCDIST(vt,GRED)
if (VDIST(NV1).LT.gerr .and.
* NEARST_N(.false.,MXTREE,6,VT,DMIN,TREE,NV1,ID,
* 'NEARST_N') .EQ. 0) THEN
NV = NV+1
CALL BLDTRE_N (.FALSE.,MXTREE,6,VT,NV*16+i,TREE,'BLDTRE_N')
CALL CPYVN(6,VT,V(1,NV))
IVB(NV) = 1
if (VDIST(NV).LT.1.D-4) VDIST(NV) = 0.D0
C write(*,*)"NV, M*SEED DIST",NV,VDIST(NV)
C call printg6('Store M*SEED ',VT)
ENDIF
ELSE
NRED=NEAR2RED(vt,gerr,vtred,dred,'NEAR2RED')
VDIST(NV1) = NCDIST(vtred,GRED)
if (VDIST(NV1).LT.gerr .and.
* NEARST_N(.false.,MXTREE,6,vtred,DMIN,TREE,NV1,ID,
* 'NEARST_N') .EQ. 0) THEN
NV = NV+1
CALL BLDTRE_N(.FALSE.,MXTREE,6,vtred,
* NV*16+i,TREE,'BLDTRE_N')
CALL CPYVN(6,vtred,V(1,NV))
IVB(NV) = 1
if (VDIST(NV).LT.1.D-4) VDIST(NV) = 0.D0
C write(*,*)"NV, M*SEED ** DIST",NV,VDIST(NV)
C call printg6('Store M*SEED ** ',VT)
ENDIF
ENDIF
C else
C call printg6('Reject SEED ',SEEDS(1,i))
endif
enddo
DO I = 1,6
NEWGE(I) = max(GE(I),DMIN)
enddo
C
C Now we have seeds to examine from nexamined+1
C through NV. In the course of doing so, NV may
C increase.
1000 nexamined = nexamined+1
if (nexamined .gt. NV .OR. NV.GT.NVMAX-31) THEN
WRITE (*,*) ' NV IN MKREFL ',NV
return
ENDIF
if (ivb(nexamined).gt.10) go to 1000
DO I = 1,6
NEWGE(I) = max(GE(I)/(1.414D0**IVB(nexamined)),DMIN)
ENDDO
gerr = DSQRT(XDOTVN(6,NEWGE,NEWGE))
C Generate seed points on each of the 15 boundaries
call GENSEEDS(V(1,nexamined),NEWGE,SEEDS,SEEDDIST,
* GOODSEED, PRJ, PRJPERP)
C
C Add the good seeds that are not duplicates to
C the tree, and for each one apply the matrix
C for that boundary and if the image is nearly
C reduced, add that as well.
C
C Differs from the prior loop only in the distance