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*DECK XELEQN
SUBROUTINE XELEQN( NDIM, NANGLE, ANGEQN )
*
*-----------------------------------------------------------------------
*
*Purpose:
* Copy generated angles according to the EQN standard.
*
*Copyright:
* Copyright (C) 1989 Ecole Polytechnique de Montreal
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version
*
*Author(s): R. Roy
*
*Parameters: input
* NDIM number of dimensions (2 or 3).
* NANGLE number of angles.
*
*Parameters: output
* ANGEQN basis for angles in 2D or 3D.
*
*-----------------------------------------------------------------------
*
IMPLICIT NONE
*
INTEGER NDIM, NANGLE
*
REAL SN2 ( 1), SN4 ( 2), SN6 ( 4), SN8 ( 6), SN10( 8),
> SN12(11), SN14(14), SN16(17), SNT (63),
> ANGEQN( NDIM, NDIM), THETA, DTHETA
INTEGER MU2 ( 1), MU4 ( 3), MU6 ( 6), MU8 (10), MU10(15),
> MU12(21), MU14(28), MU16(36), MUT(120),
> ET2 ( 1), ET4 ( 3), ET6 ( 6), ET8 (10), ET10(15),
> ET12(21), ET14(28), ET16(36), ETT(120),
> XH2 ( 1), XH4 ( 3), XH6 ( 6), XH8 (10), XH10(15),
> XH12(21), XH14(28), XH16(36), XHT(120),
> INSN( 9), JNMU( 9)
EQUIVALENCE (SNT( 1), SN2), (SNT( 2), SN4), (SNT( 4), SN6),
> (SNT( 8), SN8), (SNT(14),SN10), (SNT(22),SN12),
> (SNT(33),SN14), (SNT(47),SN16)
EQUIVALENCE (MUT( 1), MU2), (MUT( 2), MU4), (MUT( 5), MU6),
> (MUT(11), MU8), (MUT(21),MU10), (MUT(36),MU12),
> (MUT(57),MU14), (MUT(85),MU16)
EQUIVALENCE (ETT( 1), ET2), (ETT( 2), ET4), (ETT( 5), ET6),
> (ETT(11), ET8), (ETT(21),ET10), (ETT(36),ET12),
> (ETT(57),ET14), (ETT(85),ET16)
EQUIVALENCE (XHT( 1), XH2), (XHT( 2), XH4), (XHT( 5), XH6),
> (XHT(11), XH8), (XHT(21),XH10), (XHT(36),XH12),
> (XHT(57),XH14), (XHT(85),XH16)
INTEGER NANG, NO2LIM, INDEL, NO2, ICUR, IPOS, IEND
REAL XPOS, YPOS, ZPOS, X, Y, Z, SUPX, SUPY, SUPZ,
> OOSUPX, OOSUPY, OOSUPZ, XOSUPX, YOSUPY, ZOSUPZ
REAL PI
PARAMETER ( PI = 3.1415926535 )
SAVE
*
DATA NANG, NO2LIM / -1, 8 /
DATA INSN/ 0, 1, 3, 7, 13, 21, 32, 46, 63/
DATA JNMU/ 0, 1, 4, 10, 20, 35, 56, 84,120/
*
DATA SN2 / .577350269/
DATA SN4 / .350021174, .868890300/
DATA SN6 / .2561429 , .9320846 ,
> .2663443 , .6815646 /
DATA SN8 / .1971380 , .9603506 ,
> .2133981 , .5512958 , .8065570 ,
> .5773503 /
DATA SN10/ .1631408 , .9730212 ,
> .1755273 , .6961286 ,
> .4567576 , .8721024 ,
> .4897749 , .7212773 /
DATA SN12/ .1370611 , .9810344 ,
> .1497456 , .3911744 , .9080522 ,
> .6040252 , .7827706 ,
> .4213515 , .8030727 ,
> .4249785 , .6400755 /
DATA SN14/ .1196230 , .9855865 ,
> .1301510 , .3399238 , .9314035 ,
> .5326134 , .8362916 ,
> .7010923 ,
> .3700559 , .8521252 ,
> .3736108 , .5691823 , .7324250 ,
> .577350269/
DATA SN16/ .1050159 , .9889102 ,
> .1152880 , .3016701 , .9464163 ,
> .4743525 , .8727534 ,
> .6327389 , .7657351 ,
> .3284315 , .8855877 ,
> .3332906 , .5107319 , .7925089 ,
> .6666774 ,
> .5215431 , .6752671 /
*
DATA MU2 / 1/
DATA MU4 / 1, 1, 2/
DATA MU6 / 1, 3, 1, 4, 4, 2/
DATA MU8 / 1, 3, 3, 1, 4, 6, 4, 5, 5, 2/
DATA MU10/ 1, 3, 3, 3, 1, 5, 7, 7, 5, 4,
> 8, 4, 6, 6, 2/
DATA MU12/ 1, 3, 3, 3, 3, 1, 4, 8, 10, 8,
> 4, 6, 11, 11, 6, 7, 9, 7, 5, 5,
> 2/
DATA MU14/ 1, 3, 3, 3, 3, 3, 1, 4, 9, 11,
> 11, 9, 4, 6, 12, 14, 12, 6, 8, 13,
> 13, 8, 7, 10, 7, 5, 5, 2/
DATA MU16/ 1, 3, 3, 3, 3, 3, 3, 1, 4, 10,
> 12, 12, 12, 10, 4, 6, 13, 16, 16, 13,
> 6, 8, 15, 17, 15, 8, 9, 14, 14, 9,
> 7, 11, 7, 5, 5, 2/
*
DATA ET2 / 1/
DATA ET4 / 1, 2, 1/
DATA ET6 / 1, 4, 2, 3, 4, 1/
DATA ET8 / 1, 4, 5, 2, 3, 6, 5, 3, 4, 1/
DATA ET10/ 1, 5, 4, 6, 2, 3, 7, 8, 6, 3,
> 7, 4, 3, 5, 1/
DATA ET12/ 1, 4, 6, 7, 5, 2, 3, 8, 11, 9,
> 5, 3, 10, 11, 7, 3, 8, 6, 3, 4,
> 1/
DATA ET14/ 1, 4, 6, 8, 7, 5, 2, 3, 9, 12,
> 13, 10, 5, 3, 11, 14, 13, 7, 3, 11,
> 12, 8, 3, 9, 6, 3, 4, 1/
DATA ET16/ 1, 4, 6, 8, 9, 7, 5, 2, 3, 10,
> 13, 15, 14, 11, 5, 3, 12, 16, 17, 14,
> 7, 3, 12, 16, 15, 9, 3, 12, 13, 8,
> 3, 10, 6, 3, 4, 1/
*
DATA XH2 / 1/
DATA XH4 / 2, 1, 1/
DATA XH6 / 2, 4, 1, 4, 3, 1/
DATA XH8 / 2, 5, 4, 1, 5, 6, 3, 4, 3, 1/
DATA XH10/ 2, 6, 4, 5, 1, 6, 8, 7, 3, 4,
> 7, 3, 5, 3, 1/
DATA XH12/ 2, 5, 7, 6, 4, 1, 5, 9, 11, 8,
> 3, 7, 11, 10, 3, 6, 8, 3, 4, 3,
> 1/
DATA XH14/ 2, 5, 7, 8, 6, 4, 1, 5, 10, 13,
> 12, 9, 3, 7, 13, 14, 11, 3, 8, 12,
> 11, 3, 6, 9, 3, 4, 3, 1/
DATA XH16/ 2, 5, 7, 9, 8, 6, 4, 1, 5, 11,
> 14, 15, 13, 10, 3, 7, 14, 17, 16, 12,
> 3, 9, 15, 16, 12, 3, 8, 13, 12, 3,
> 6, 10, 3, 4, 3, 1/
*
IF( NDIM.EQ.3 )THEN
IF( NANGLE.NE.NANG )THEN
NANG = NANGLE
INDEL = 0
NO2 = NANGLE/2
IF( NO2.EQ.0 )RETURN
IF( NO2.LT.1 .OR. NO2.GT.NO2LIM )
> CALL XABORT('XELEQN: TOO MANY ANGLES ')
IPOS = INSN( NO2 )
ICUR = JNMU( NO2 )
IEND = JNMU( NO2 + 1)
ENDIF
INDEL = INDEL + 1
IF ( MOD(INDEL, 3).EQ.1 )THEN
IF ( MOD(INDEL, 4).EQ.1 )THEN
ICUR = ICUR + 1
IF( ICUR.GT.IEND )
> CALL XABORT('XELEQN: NO MORE ANGLES ')
XPOS = SNT( MUT(ICUR) + IPOS )
YPOS = SNT( ETT(ICUR) + IPOS )
ZPOS = SNT( XHT(ICUR) + IPOS )
X = XPOS
Y = YPOS
Z = ZPOS
SUPX = SQRT( 1.0 - X * X )
SUPY = SQRT( 1.0 - Y * Y )
SUPZ = SQRT( 1.0 - Z * Z )
OOSUPX= 1.0 / SUPX
OOSUPY= 1.0 / SUPY
OOSUPZ= 1.0 / SUPZ
ELSEIF( MOD(INDEL, 4).EQ.2 )THEN
X = -XPOS
Y = YPOS
ELSEIF( MOD(INDEL, 4).EQ.3 )THEN
X = XPOS
Y = -YPOS
ELSE
X = -XPOS
Y = -YPOS
ENDIF
XOSUPX= X / SUPX
YOSUPY= Y / SUPY
ZOSUPZ= Z / SUPZ
*
* SOLID ANGLE DIRECTION
ANGEQN( 1, 1 )= X
ANGEQN( 2, 1 )= Y
ANGEQN( 3, 1 )= Z
*
* DIRECTIONS PERPENDICULAR TO THIS SOLID ANGLE
ANGEQN( 1, 2 )= -Y * OOSUPZ
ANGEQN( 2, 2 )= X * OOSUPZ
ANGEQN( 3, 2 )= 0.0
*
ANGEQN( 1, 3 )= X * ZOSUPZ
ANGEQN( 2, 3 )= Y * ZOSUPZ
ANGEQN( 3, 3 )= - SUPZ
ELSEIF( MOD(INDEL, 3).EQ.2 )THEN
*
* SOLID ANGLE DIRECTION
ANGEQN( 1, 1 )= X
ANGEQN( 2, 1 )= Y
ANGEQN( 3, 1 )= Z
*
* DIRECTIONS PERPENDICULAR TO THIS SOLID ANGLE
ANGEQN( 1, 2 )= -Z * OOSUPY
ANGEQN( 2, 2 )= 0.0
ANGEQN( 3, 2 )= X * OOSUPY
*
ANGEQN( 1, 3 )= X * YOSUPY
ANGEQN( 2, 3 )= - SUPY
ANGEQN( 3, 3 )= Z * YOSUPY
ELSE
*
* SOLID ANGLE DIRECTION
ANGEQN( 1, 1 )= X
ANGEQN( 2, 1 )= Y
ANGEQN( 3, 1 )= Z
*
* DIRECTIONS PERPENDICULAR TO THIS SOLID ANGLE
ANGEQN( 1, 2 )= 0.0
ANGEQN( 2, 2 )= -Z * OOSUPX
ANGEQN( 3, 2 )= Y * OOSUPX
*
ANGEQN( 1, 3 )= - SUPX
ANGEQN( 2, 3 )= Y * XOSUPX
ANGEQN( 3, 3 )= Z * XOSUPX
ENDIF
ELSEIF( NDIM.EQ.2 )THEN
IF( NANGLE.NE.NANG )THEN
NANG = NANGLE
IF( NANG.EQ.0 )RETURN
DTHETA = PI / NANG
IF( NANG.GT.0 )THEN
THETA = -0.5 * DTHETA
ELSE
THETA = 0.5 * DTHETA
ENDIF
INDEL = 0
ENDIF
INDEL = INDEL + 1
IF( INDEL.GT.NANG ) CALL XABORT( 'XELEQN: NO MORE ANGLES ' )
THETA = THETA + DTHETA
*
* SOLID ANGLE DIRECTION
ANGEQN( 1, 1 )= COS(THETA)
ANGEQN( 2, 1 )= SIN(THETA)
*
* DIRECTIONS PERPENDICULAR TO THIS SOLID ANGLE
ANGEQN( 1, 2 )= -SIN(THETA)
ANGEQN( 2, 2 )= COS(THETA)
ELSE
CALL XABORT( 'XELEQN: *** FALSE NDIM VALUE')
ENDIF
RETURN
END
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