quantum-espresso/PH/random_matrix.f90

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!
! Copyright (C) 2001 PWSCF group
! This file is distributed under the terms of the
! GNU General Public License. See the file `License'
! in the root directory of the present distribution,
! or http://www.gnu.org/copyleft/gpl.txt .
!
!
!----------------------------------------------------------------------
subroutine random_matrix (irt, irgq, nsymq, minus_q, irotmq, nat, &
wdyn, lgamma)
!----------------------------------------------------------------------
!
! Create a random hermitian matrix with non zero elements similar to
! the dynamical matrix of the system
!
!
#include "f_defs.h"
USE kinds, only : DP
implicit none
!
! The dummy variables
!
integer :: nat, irt (48, nat), irgq (48), nsymq, irotmq
! input: number of atoms
! input: index of the rotated atom
! input: the small group of q
! input: the order of the small group
! input: the rotation sending q -> -q
complex(kind=DP) :: wdyn (3, 3, nat, nat)
! output: random matrix
logical :: lgamma, minus_q
! input: if true q=0
! input: if true there is a symmetry
!
! The local variables
!
integer :: na, nb, ipol, jpol, isymq, irot, ira, iramq
! counters
! ira: rotated atom
! iramq: rotated atom with the q->-q+G symmetry
real(kind=DP) :: arg
real(kind=DP), EXTERNAL :: rndm
! a function generating a random number
!
!
wdyn (:, :, :, :) = (0d0, 0d0)
do na = 1, nat
do ipol = 1, 3
General cleanup of intrinsic functions: conversion to real => DBLE (including real part of a complex number) conversion to complex => CMPLX complex conjugate => CONJG imaginary part => AIMAG All functions are uppercase. CMPLX is preprocessed by f_defs.h and performs an explicit cast: #define CMPLX(a,b) cmplx(a,b,kind=DP) This implies that 1) f_defs.h must be included whenever a CMPLX is present, 2) CMPLX should stay in a single line, 3) DP must be defined. All occurrences of real, float, dreal, dfloat, dconjg, dimag, dcmplx removed - please do not reintroduce any of them. Tested only with ifc7 and g95 - beware unintended side effects Maybe not the best solution (explicit casts everywhere would be better) but it can be easily changed with a script if the need arises. The following code might be used to test for possible trouble: program test_intrinsic implicit none integer, parameter :: dp = selected_real_kind(14,200) real (kind=dp) :: a = 0.123456789012345_dp real (kind=dp) :: b = 0.987654321098765_dp complex (kind=dp) :: c = ( 0.123456789012345_dp, 0.987654321098765_dp) print *, ' A = ', a print *, ' DBLE(A)= ', DBLE(a) print *, ' C = ', c print *, 'CONJG(C)= ', CONJG(c) print *, 'DBLE(c),AIMAG(C) = ', DBLE(c), AIMAG(c) print *, 'CMPLX(A,B,kind=dp)= ', CMPLX( a, b, kind=dp) end program test_intrinsic Note that CMPLX and REAL without a cast yield single precision numbers on ifc7 and g95 !!! git-svn-id: http://qeforge.qe-forge.org/svn/q-e/trunk/espresso@2133 c92efa57-630b-4861-b058-cf58834340f0
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wdyn (ipol, ipol, na, na) = CMPLX (2 * rndm () - 1, 0.d0)
do jpol = ipol + 1, 3
if (lgamma) then
General cleanup of intrinsic functions: conversion to real => DBLE (including real part of a complex number) conversion to complex => CMPLX complex conjugate => CONJG imaginary part => AIMAG All functions are uppercase. CMPLX is preprocessed by f_defs.h and performs an explicit cast: #define CMPLX(a,b) cmplx(a,b,kind=DP) This implies that 1) f_defs.h must be included whenever a CMPLX is present, 2) CMPLX should stay in a single line, 3) DP must be defined. All occurrences of real, float, dreal, dfloat, dconjg, dimag, dcmplx removed - please do not reintroduce any of them. Tested only with ifc7 and g95 - beware unintended side effects Maybe not the best solution (explicit casts everywhere would be better) but it can be easily changed with a script if the need arises. The following code might be used to test for possible trouble: program test_intrinsic implicit none integer, parameter :: dp = selected_real_kind(14,200) real (kind=dp) :: a = 0.123456789012345_dp real (kind=dp) :: b = 0.987654321098765_dp complex (kind=dp) :: c = ( 0.123456789012345_dp, 0.987654321098765_dp) print *, ' A = ', a print *, ' DBLE(A)= ', DBLE(a) print *, ' C = ', c print *, 'CONJG(C)= ', CONJG(c) print *, 'DBLE(c),AIMAG(C) = ', DBLE(c), AIMAG(c) print *, 'CMPLX(A,B,kind=dp)= ', CMPLX( a, b, kind=dp) end program test_intrinsic Note that CMPLX and REAL without a cast yield single precision numbers on ifc7 and g95 !!! git-svn-id: http://qeforge.qe-forge.org/svn/q-e/trunk/espresso@2133 c92efa57-630b-4861-b058-cf58834340f0
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wdyn (ipol, jpol, na, na) = CMPLX (2 * rndm () - 1, 0.d0)
else
General cleanup of intrinsic functions: conversion to real => DBLE (including real part of a complex number) conversion to complex => CMPLX complex conjugate => CONJG imaginary part => AIMAG All functions are uppercase. CMPLX is preprocessed by f_defs.h and performs an explicit cast: #define CMPLX(a,b) cmplx(a,b,kind=DP) This implies that 1) f_defs.h must be included whenever a CMPLX is present, 2) CMPLX should stay in a single line, 3) DP must be defined. All occurrences of real, float, dreal, dfloat, dconjg, dimag, dcmplx removed - please do not reintroduce any of them. Tested only with ifc7 and g95 - beware unintended side effects Maybe not the best solution (explicit casts everywhere would be better) but it can be easily changed with a script if the need arises. The following code might be used to test for possible trouble: program test_intrinsic implicit none integer, parameter :: dp = selected_real_kind(14,200) real (kind=dp) :: a = 0.123456789012345_dp real (kind=dp) :: b = 0.987654321098765_dp complex (kind=dp) :: c = ( 0.123456789012345_dp, 0.987654321098765_dp) print *, ' A = ', a print *, ' DBLE(A)= ', DBLE(a) print *, ' C = ', c print *, 'CONJG(C)= ', CONJG(c) print *, 'DBLE(c),AIMAG(C) = ', DBLE(c), AIMAG(c) print *, 'CMPLX(A,B,kind=dp)= ', CMPLX( a, b, kind=dp) end program test_intrinsic Note that CMPLX and REAL without a cast yield single precision numbers on ifc7 and g95 !!! git-svn-id: http://qeforge.qe-forge.org/svn/q-e/trunk/espresso@2133 c92efa57-630b-4861-b058-cf58834340f0
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wdyn (ipol, jpol, na, na) = &
CMPLX (2 * rndm () - 1, 2 * rndm () - 1)
endif
General cleanup of intrinsic functions: conversion to real => DBLE (including real part of a complex number) conversion to complex => CMPLX complex conjugate => CONJG imaginary part => AIMAG All functions are uppercase. CMPLX is preprocessed by f_defs.h and performs an explicit cast: #define CMPLX(a,b) cmplx(a,b,kind=DP) This implies that 1) f_defs.h must be included whenever a CMPLX is present, 2) CMPLX should stay in a single line, 3) DP must be defined. All occurrences of real, float, dreal, dfloat, dconjg, dimag, dcmplx removed - please do not reintroduce any of them. Tested only with ifc7 and g95 - beware unintended side effects Maybe not the best solution (explicit casts everywhere would be better) but it can be easily changed with a script if the need arises. The following code might be used to test for possible trouble: program test_intrinsic implicit none integer, parameter :: dp = selected_real_kind(14,200) real (kind=dp) :: a = 0.123456789012345_dp real (kind=dp) :: b = 0.987654321098765_dp complex (kind=dp) :: c = ( 0.123456789012345_dp, 0.987654321098765_dp) print *, ' A = ', a print *, ' DBLE(A)= ', DBLE(a) print *, ' C = ', c print *, 'CONJG(C)= ', CONJG(c) print *, 'DBLE(c),AIMAG(C) = ', DBLE(c), AIMAG(c) print *, 'CMPLX(A,B,kind=dp)= ', CMPLX( a, b, kind=dp) end program test_intrinsic Note that CMPLX and REAL without a cast yield single precision numbers on ifc7 and g95 !!! git-svn-id: http://qeforge.qe-forge.org/svn/q-e/trunk/espresso@2133 c92efa57-630b-4861-b058-cf58834340f0
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wdyn (jpol, ipol, na, na) = CONJG(wdyn (ipol, jpol, na, na) )
enddo
do nb = na + 1, nat
do isymq = 1, nsymq
irot = irgq (isymq)
ira = irt (irot, na)
if (minus_q) then
iramq = irt (irotmq, na)
else
iramq = 0
endif
if ( (nb == ira) .or. (nb == iramq) ) then
do jpol = 1, 3
if (lgamma) then
General cleanup of intrinsic functions: conversion to real => DBLE (including real part of a complex number) conversion to complex => CMPLX complex conjugate => CONJG imaginary part => AIMAG All functions are uppercase. CMPLX is preprocessed by f_defs.h and performs an explicit cast: #define CMPLX(a,b) cmplx(a,b,kind=DP) This implies that 1) f_defs.h must be included whenever a CMPLX is present, 2) CMPLX should stay in a single line, 3) DP must be defined. All occurrences of real, float, dreal, dfloat, dconjg, dimag, dcmplx removed - please do not reintroduce any of them. Tested only with ifc7 and g95 - beware unintended side effects Maybe not the best solution (explicit casts everywhere would be better) but it can be easily changed with a script if the need arises. The following code might be used to test for possible trouble: program test_intrinsic implicit none integer, parameter :: dp = selected_real_kind(14,200) real (kind=dp) :: a = 0.123456789012345_dp real (kind=dp) :: b = 0.987654321098765_dp complex (kind=dp) :: c = ( 0.123456789012345_dp, 0.987654321098765_dp) print *, ' A = ', a print *, ' DBLE(A)= ', DBLE(a) print *, ' C = ', c print *, 'CONJG(C)= ', CONJG(c) print *, 'DBLE(c),AIMAG(C) = ', DBLE(c), AIMAG(c) print *, 'CMPLX(A,B,kind=dp)= ', CMPLX( a, b, kind=dp) end program test_intrinsic Note that CMPLX and REAL without a cast yield single precision numbers on ifc7 and g95 !!! git-svn-id: http://qeforge.qe-forge.org/svn/q-e/trunk/espresso@2133 c92efa57-630b-4861-b058-cf58834340f0
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wdyn (ipol, jpol, na, nb) = CMPLX (2*rndm () - 1, 0.d0)
else
General cleanup of intrinsic functions: conversion to real => DBLE (including real part of a complex number) conversion to complex => CMPLX complex conjugate => CONJG imaginary part => AIMAG All functions are uppercase. CMPLX is preprocessed by f_defs.h and performs an explicit cast: #define CMPLX(a,b) cmplx(a,b,kind=DP) This implies that 1) f_defs.h must be included whenever a CMPLX is present, 2) CMPLX should stay in a single line, 3) DP must be defined. All occurrences of real, float, dreal, dfloat, dconjg, dimag, dcmplx removed - please do not reintroduce any of them. Tested only with ifc7 and g95 - beware unintended side effects Maybe not the best solution (explicit casts everywhere would be better) but it can be easily changed with a script if the need arises. The following code might be used to test for possible trouble: program test_intrinsic implicit none integer, parameter :: dp = selected_real_kind(14,200) real (kind=dp) :: a = 0.123456789012345_dp real (kind=dp) :: b = 0.987654321098765_dp complex (kind=dp) :: c = ( 0.123456789012345_dp, 0.987654321098765_dp) print *, ' A = ', a print *, ' DBLE(A)= ', DBLE(a) print *, ' C = ', c print *, 'CONJG(C)= ', CONJG(c) print *, 'DBLE(c),AIMAG(C) = ', DBLE(c), AIMAG(c) print *, 'CMPLX(A,B,kind=dp)= ', CMPLX( a, b, kind=dp) end program test_intrinsic Note that CMPLX and REAL without a cast yield single precision numbers on ifc7 and g95 !!! git-svn-id: http://qeforge.qe-forge.org/svn/q-e/trunk/espresso@2133 c92efa57-630b-4861-b058-cf58834340f0
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wdyn (ipol, jpol, na, nb) = &
CMPLX (2*rndm () - 1, 2*rndm () - 1)
endif
General cleanup of intrinsic functions: conversion to real => DBLE (including real part of a complex number) conversion to complex => CMPLX complex conjugate => CONJG imaginary part => AIMAG All functions are uppercase. CMPLX is preprocessed by f_defs.h and performs an explicit cast: #define CMPLX(a,b) cmplx(a,b,kind=DP) This implies that 1) f_defs.h must be included whenever a CMPLX is present, 2) CMPLX should stay in a single line, 3) DP must be defined. All occurrences of real, float, dreal, dfloat, dconjg, dimag, dcmplx removed - please do not reintroduce any of them. Tested only with ifc7 and g95 - beware unintended side effects Maybe not the best solution (explicit casts everywhere would be better) but it can be easily changed with a script if the need arises. The following code might be used to test for possible trouble: program test_intrinsic implicit none integer, parameter :: dp = selected_real_kind(14,200) real (kind=dp) :: a = 0.123456789012345_dp real (kind=dp) :: b = 0.987654321098765_dp complex (kind=dp) :: c = ( 0.123456789012345_dp, 0.987654321098765_dp) print *, ' A = ', a print *, ' DBLE(A)= ', DBLE(a) print *, ' C = ', c print *, 'CONJG(C)= ', CONJG(c) print *, 'DBLE(c),AIMAG(C) = ', DBLE(c), AIMAG(c) print *, 'CMPLX(A,B,kind=dp)= ', CMPLX( a, b, kind=dp) end program test_intrinsic Note that CMPLX and REAL without a cast yield single precision numbers on ifc7 and g95 !!! git-svn-id: http://qeforge.qe-forge.org/svn/q-e/trunk/espresso@2133 c92efa57-630b-4861-b058-cf58834340f0
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wdyn(jpol, ipol, nb, na) = CONJG(wdyn(ipol, jpol, na, nb))
enddo
goto 10
endif
enddo
10 continue
enddo
enddo
enddo
return
end subroutine random_matrix