1 | ! **************************************************************
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2 | !
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3 | ! This file contains the subroutines: mulcan_par, muca_weight
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4 | !
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5 | ! Copyright 2003-2005 Frank Eisenmenger, U.H.E. Hansmann,
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6 | ! Shura Hayryan, Chin-Ku
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7 | ! Copyright 2007 Frank Eisenmenger, U.H.E. Hansmann,
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8 | ! Jan H. Meinke, Sandipan Mohanty
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9 | !
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10 | ! **************************************************************
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11 |
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12 | subroutine mulcan_par
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13 | !
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14 | ! PURPOSE: CALCULATION OF ESTIMATORS FOR MULTICANONICAL WEIGHTS
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15 | ! USING A METHOD DESCRIBED FIRST IN: Bernd Berg,
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16 | ! {\it J.~Stat.~Phys.} {\bf 82}, 331~(1996). THE METHOD
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17 | ! IS STABLE, BUT MAY NOT ALWAYS BE THE FASTEST WAY OF
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18 | ! GETTING PARAMETERS
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19 | !
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20 | ! CALLS: addang,energy,metropolis
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21 | !
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22 |
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23 | include 'INCL.H'
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24 |
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25 | ! external rand
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26 | external muca_weight
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27 |
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28 | logical l_iter
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29 |
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30 | parameter(l_iter=.false.)
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31 | parameter(kmin=-12,kmax=20,ebin=1.0d0)
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32 | parameter(xmin = kmin,xmax=kmax)
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33 | parameter(nsweep=100000,nup=5000)
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34 | parameter(temp=1000.0)
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35 | !
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36 | ! l_iter: .true. = for iteration of multicanonical parameters
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37 | ! .false. = starts new calculation of multicanonica parameters
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38 | ! kmin,kmax: Range of multicanonical parameter
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39 | ! ebin: bin size for multicanonical parameter
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40 | ! nup: Number of sweeps between updates of multicanonical parameters
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41 | ! nsweep: Number of sweeps for simulation run
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42 | ! temp: temperature for initial canonical run
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43 | !
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44 |
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45 | dimension xhist(kmin:kmax),g1(kmin:kmax),ent(kmin:kmax)
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46 | common/muca/b(kmin:kmax),alpha(kmin:kmax),beta
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47 | common/jhist/ihist(kmin:kmax)
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48 |
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49 |
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50 | ! Files with multicanonical parameter
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51 | open(11,file='EXAMPLES/mpar_full.d')
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52 | open(12,file='EXAMPLES/muca.d')
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53 |
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54 |
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55 | beta=1.0/ ( temp * 1.98773d-3 )
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56 | do j=kmin,kmax
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57 | ihist(j)= 0
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58 | end do
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59 |
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60 |
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61 | if(l_iter) then
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62 | ! READ IN FIELDS WITH MULTICANONICAL PARAMETER
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63 | Do j=kmin,kmax
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64 | read(11,*) i,xhist(i),g1(i),b(i),alpha(i),ent(i)
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65 | end do
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66 | else
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67 | do j=kmin,kmax
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68 | b(j) = 0.0d0
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69 | alpha(j) = 0.0d0
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70 | g1(j) = 0.0d0
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71 | xhist(j) = 0.0d0
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72 | ent(j) = 0.0d0
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73 | end do
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74 | end if
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75 | !
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76 | ! _________________________________ random start
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77 | do i=1,nvr
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78 | iv=idvr(i) ! provides index of non-fixed variable
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79 | dv=axvr(iv)*(grnd()-0.5)
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80 | vr=addang(pi,dv)
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81 | vlvr(iv)=vr
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82 | enddo
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83 | !
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84 | eol = energy()
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85 | write (logString, '(a,e12.5,/)') 'Energy of start configuration: ',eol
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86 | write (logString, *)
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87 |
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88 | call outpdb(1, 'start.pdb')
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89 | !
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90 |
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91 |
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92 | !======================Simulation
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93 | acz = 0.0d0
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94 | ! LOOP OVER SWEEPS
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95 | do nsw=1,nsweep
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96 | !
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97 | ! METROPOLIS UPDATE
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98 | call metropolis(eol,acz,muca_weight)
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99 |
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100 | muold = int(min(xmax,max(xmin,eol/ebin+sign(0.5d0,eol))))
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101 | ihist(muold) = ihist(muold) + 1
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102 | write (logString, *) nsw, eol, acz
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103 | !
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104 | ! ITERATE MULTICANONICAL WEIGHTS EVERY NUP SWEEPS
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105 | if(mod(nsw,nup).eq.0) then
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106 | xhist(kmax) = xhist(kmax) + ihist(kmax)
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107 | xhist(kmax-1) = xhist(kmax-1) + ihist(kmax-1)
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108 | rewind 11
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109 | do i=kmax-2,kmin,-1
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110 | xhist(i) = xhist(i) + ihist(i)
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111 | if((ihist(i).gt.1).and.(ihist(i+1).gt.1)) then
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112 | g0 = float(ihist(i+1))*float(ihist(i))
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113 | g0 = g0/float(ihist(i)+ihist(i+1))
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114 | g1(i) = g1(i) + g0
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115 | g0 = g0/g1(i)
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116 | bi_1 = log(float(ihist(i+1)))
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117 | bi = log(float(ihist(i)))
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118 | b(i) = b(i) + g0*(bi_1 - bi)/ebin
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119 | else
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120 | if(xhist(i).lt.2.0) then
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121 | b(i) = max(0.0d0,b(i+1))
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122 | end if
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123 | end if
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124 | end do
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125 | b(kmax) = b(kmax-2)
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126 | b(kmax-1) = b(kmax-2)
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127 | alpha(kmax) = 0
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128 | ent(kmax) = (beta+b(kmax))*float(kmax)*ebin + alpha(kmax)
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129 | write(11,'(i5,5f15.4)') kmax,xhist(kmax),g1(kmax),
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130 | & b(kmax),alpha(kmax),ent(kmax)
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131 | ihist(kmax) = 0
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132 | do i=kmax-1,kmin,-1
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133 | ihist(i) = 0
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134 | alpha(i) = alpha(i+1) + (b(i+1) - b(i))*(i+0.5d0)*ebin
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135 | ent(i) = (beta+b(i))*float(i)*ebin + alpha(i)
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136 | write(11,'(i5,5f15.4)') i,xhist(i),g1(i),b(i),alpha(i),ent(i)
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137 | end do
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138 | end if
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139 | !
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140 | end do
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141 | ! END OF SIMULATION
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142 |
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143 | ! FINAL OUTPUT:
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144 | acz = acz/dble(nsw*nvr)
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145 | write (logString, *) 'last energy',eol
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146 | write (logString, *) 'aczeptance rate:',acz
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147 | !
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148 | ! OUTPUT OF FINAL HISTOGRAM
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149 | !
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150 | write (logString, *) 'Histogram:'
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151 | do i=kmin,kmax
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152 | if(xhist(i).gt.0.0d0) then
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153 | write (logString, *) i,xhist(i)
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154 | end if
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155 | end do
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156 | !
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157 | ! WRITE DOWN MULTICANONICAL PARAMETER
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158 | alpha(kmax)=0.0d0
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159 | b(kmax) = b(kmax)+beta
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160 | do i= kmax-1,kmin,-1
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161 | b(i) = b(i) + beta
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162 | alpha(i) = alpha(i+1) + (b(i+1) - b(i))*(i+0.5d0)*ebin
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163 | end do
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164 | rewind 12
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165 | do i=kmin,kmax
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166 | write(12,*) i,b(i),alpha(i)
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167 | end do
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168 |
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169 | close(11)
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170 | close(12)
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171 | !
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172 | ! =====================
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173 | !
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174 | return
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175 | end
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176 |
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177 | !**********************************************************************
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178 |
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179 | real*8 function muca_weight(x)
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180 |
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181 | implicit real*8 (a-h,o-z)
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182 | implicit integer*8 (i-n)
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183 |
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184 | parameter(kmin=-12,kmax=20,ebin=1.0d0)
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185 |
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186 | common/muca/b(kmin:kmax),alpha(kmin:kmax),beta
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187 |
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188 | xmin = kmin
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189 | xmax = kmax
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190 | muold = int(min(xmax,max(xmin,x/ebin+sign(0.5d0,x))))
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191 | muca_weight = (beta+b(muold))*x + alpha(muold)
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192 |
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193 | return
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194 |
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195 | end
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196 |
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