1 | # test code (package already loaded in expgui) |
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2 | lappend auto_path [file dirname [info script]] |
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3 | package require La |
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4 | |
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5 | #============================================================================ |
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6 | # rigid body EXP editing routines (to move into readexp.tcl) |
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7 | # RigidBodyList -- returns a list of the defined rigid body types |
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8 | # ReadRigidBody -- # of times a body is mapped, scaling factors, var #s & coordinates |
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9 | # RigidBodyMappingList - return a list instances where a RB is mapped in phase |
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10 | # RigidBodyEnableTLS -- Enable or Disable TLS use for a rigid body mapping |
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11 | # RigidBodySetTLS -- change the TLS values for a rigid body mapping |
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12 | # RigidBodySetDamp -- change the damping values for a rigid body mapping |
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13 | # RigidBodyVary -- set refinement variable numbers for a rigid body mapping |
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14 | # RigidBodyTLSVary -- set TLS refinement variable nums for a rigid body mapping |
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15 | # AddRigidBody -- defines a new rigid body type |
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16 | # DeleteRigidBody -- remove a rigid body definition |
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17 | # ReplaceRigidBody -- replaces a previous rigid body type |
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18 | # ReadRigidBodyMapping -- get parameters for a rigid body mapping |
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19 | # MapRigidBody -- map a rigid body type into a phase |
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20 | # EditRigidBodyMapping -- change the parameters in a rigid body mapping |
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21 | # UnMapRigidBody --remove a rigid body constraint by removing a RB "instance" |
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22 | #----- note that these older routines should not be used ------ |
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23 | # RigidBodyCount -- returns the number of defined rigid bodies (body types) |
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24 | # use RigidBodyList instead |
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25 | # RigidBodyMappingCount -- # of times a rigid body is mapped in phase |
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26 | # use RigidBodyMappingList instead |
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27 | #============================================================================ |
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28 | # returns the number of defined rigid bodies |
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29 | proc RigidBodyCount {} { |
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30 | set n [string trim [readexp "RGBD NRBDS"]] |
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31 | if {$n == ""} { |
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32 | set n 0 |
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33 | } |
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34 | return $n |
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35 | } |
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36 | |
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37 | # returns a list of the defined rigid body types |
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38 | proc RigidBodyList {} { |
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39 | set n [string trim [readexp "RGBD NRBDS"]] |
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40 | if {$n == ""} { |
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41 | set n 0 |
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42 | } |
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43 | set rblist {} |
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44 | foreach rbnum {1 2 3 4 5 6 7 8 9 10 11 12 13 14 15} { |
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45 | set value $rbnum |
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46 | validint value 2 |
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47 | set key "RGBD${value}" |
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48 | if {[existsexp "$key NATR "]} { |
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49 | lappend rblist $rbnum |
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50 | } |
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51 | if {[llength $rblist] == $n} break |
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52 | } |
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53 | return $rblist |
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54 | } |
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55 | |
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56 | # returns two items: |
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57 | # the number of times the rigid body is mapped |
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58 | # a list containing an element for each scaling factor in rigid body #rbnum. |
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59 | # in each element there are four items: |
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60 | # a multiplier value for the rigid body coordinates |
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61 | # a damping value (0-9) for the refinement of the multiplier |
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62 | # a variable number if the multiplier will be refined |
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63 | # a list of cartesian coordinates coordinates |
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64 | # each cartesian coordinate contains 4 items: x,y,z and a label |
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65 | # note that the label is present only when the RB is created in EXPGUI and is |
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66 | # not used in GSAS. |
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67 | proc ReadRigidBody {rbnum} { |
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68 | if {[lsearch [RigidBodyList] $rbnum] == -1} { |
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69 | return "" |
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70 | } |
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71 | set value $rbnum |
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72 | validint value 2 |
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73 | set key "RGBD${value}" |
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74 | set n [string trim [string range [readexp "$key NATR"] 0 4]] |
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75 | set used [string trim [string range [readexp "$key NBDS"] 0 4]] |
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76 | set nmult [string trim [string range [readexp "$key NSMP"] 0 4]] |
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77 | set out {} |
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78 | for {set i 1} {$i <= $nmult} {incr i} { |
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79 | set line [readexp "${key}${i}PARM"] |
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80 | set mult [string trim [string range $line 0 9]] |
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81 | set var [string trim [string range $line 10 14]] |
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82 | set damp [string trim [string range $line 15 19]] |
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83 | set coordlist {} |
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84 | for {set j 1} {$j <= $n} {incr j} { |
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85 | set value $j |
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86 | validint value 3 |
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87 | set line [readexp "${key}${i}SC$value"] |
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88 | set x [string trim [string range $line 0 9]] |
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89 | set y [string trim [string range $line 10 19]] |
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90 | set z [string trim [string range $line 20 29]] |
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91 | set lbl [string trim [string range $line 30 39]] |
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92 | lappend coordlist [list $x $y $z $lbl] |
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93 | } |
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94 | lappend out [list $mult $damp $var $coordlist] |
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95 | } |
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96 | return [list $used $out] |
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97 | } |
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98 | |
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99 | # return the number of times rigid body $bodytyp is mapped in phase $phase |
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100 | proc RigidBodyMappingCount {phase bodytyp} { |
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101 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1]" |
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102 | if {! [existsexp "$key NBDS"]} {return 0} |
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103 | set n [string trim [readexp "$key NBDS"]] |
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104 | if {$n == ""} { |
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105 | set n 0 |
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106 | } |
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107 | return $n |
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108 | } |
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109 | # return a list of the instances where rigid body $bodytyp is mapped in phase $phase |
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110 | proc RigidBodyMappingList {phase bodytyp} { |
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111 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1]" |
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112 | if {! [existsexp "$key NBDS"]} {return {}} |
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113 | set n [string trim [readexp "$key NBDS"]] |
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114 | if {$n == ""} { |
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115 | set n 0 |
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116 | } |
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117 | set rblist {} |
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118 | foreach rbnum {1 2 3 4 5 6 7 8 9 10 11 12 13 14 15} { |
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119 | set value $rbnum |
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120 | validint value 2 |
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121 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1][ToHex $rbnum 1]" |
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122 | if {[existsexp "$key NDA"]} { |
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123 | lappend rblist $rbnum |
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124 | } |
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125 | if {[llength $rblist] == $n} break |
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126 | } |
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127 | return $rblist |
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128 | } |
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129 | |
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130 | |
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131 | |
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132 | # reads rigid body mapping parameters for phase ($phase), body type # ($bodytyp) and instance # ($num) |
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133 | # returns a list of items (most lists) as follows: |
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134 | # 1) sequence # of first atom in body |
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135 | # 2) origin of body in fractional coordinates (3 elements) |
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136 | # 3) Euler angles as 6 pairs of numbers (see below) |
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137 | # 4) variable numbers for the 9 position variables (origin followed by rotations) |
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138 | # 5) damping vals for the 9 position variables (origin followed by rotations) |
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139 | # 6) the TLS values, in order below (empty list if TLS is not in use) |
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140 | # 7) the variable numbers for each TLS values, in order below (or empty) |
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141 | # 8) three damping values for the T, L and S terms. |
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142 | # returns an empty list if no such body exists. |
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143 | # |
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144 | # Euler angles are a list of axes and angles to rotate: |
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145 | # { {axis1 angle1} {axis2 angle2} ...} |
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146 | # where axis1,... can be 1, 2 or 3 corresponding to the cartesian X, Y or Z axes |
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147 | # |
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148 | # The 20 TLS terms are ordered: |
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149 | # T11, T22, T33, T12, T13, T23 |
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150 | # L11, L22, L33, L12, L13, L23 |
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151 | # S12, S13, S21, S23, S31, S32, SAA, SBB |
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152 | # |
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153 | proc ReadRigidBodyMapping {phase bodytyp num} { |
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154 | if {[lsearch [RigidBodyMappingList $phase $bodytyp] $num] == -1} { |
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155 | return "" |
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156 | } |
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157 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1][ToHex $num 1]" |
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158 | set first [string trim [string range [readexp "$key NDA"] 0 4]] |
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159 | set line [readexp "$key BDFL"] |
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160 | set varlist {} |
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161 | set damplist {} |
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162 | foreach i {0 1 2 3 4 5 6 7 8} { |
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163 | lappend varlist [string trim [string range $line [expr {5*$i}] [expr {4 + 5*$i}] ]] |
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164 | lappend damplist [string trim [string range $line [expr {45 + $i}] [expr {45 + $i}] ]] |
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165 | } |
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166 | set TLSdamplist {} |
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167 | foreach i {54 55 56} { |
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168 | lappend TLSdamplist [string trim [string range $line $i $i ]] |
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169 | } |
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170 | set line [readexp "${key} BDLC"] |
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171 | set x [string trim [string range $line 0 9]] |
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172 | set y [string trim [string range $line 10 19]] |
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173 | set z [string trim [string range $line 20 29]] |
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174 | set origin [list $x $y $z] |
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175 | set line [readexp "${key} BDOR"] |
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176 | set rotations {} |
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177 | foreach i {0 10 20 30 40 50} { |
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178 | set angle [string trim [string range $line $i [expr {$i+7}]]] |
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179 | set axis [string trim [string range $line [expr {$i+8}] [expr {$i+9}]]] |
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180 | lappend rotations [list $angle $axis] |
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181 | } |
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182 | set TLS [string trim [string range [readexp "${key} LSTF"] 0 4]] |
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183 | set tlsvars {} |
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184 | set tlsvals {} |
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185 | if {$TLS != 0} { |
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186 | set line [readexp "${key}TLSF1"] |
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187 | for {set j 0} {$j < 20} {incr j} { |
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188 | lappend tlsvars [string trim [string range $line [expr {3*$j}] [expr {3*$j+2}]]] |
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189 | } |
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190 | for {set j 0} {$j < 20} {incr j} { |
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191 | set i 0 |
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192 | if {$j == 0} { |
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193 | set i 1 |
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194 | } elseif {$j == 8} { |
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195 | set i 2 |
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196 | } elseif {$j == 16} { |
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197 | set i 3 |
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198 | } |
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199 | if {$i != 0} { |
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200 | set line [readexp "${key}TLSP$i"] |
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201 | set i 0 |
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202 | set j1 0 |
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203 | set j2 7 |
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204 | } else { |
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205 | incr j1 8 |
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206 | incr j2 8 |
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207 | } |
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208 | lappend tlsvals [string trim [string range $line $j1 $j2]] |
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209 | } |
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210 | } |
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211 | return [list $first $origin $rotations $varlist $damplist $tlsvals $tlsvars $TLSdamplist] |
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212 | } |
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213 | |
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214 | # Control TLS representation for phase, body # and instance number of a Rigid body mapping |
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215 | # for mapping with phase ($phase), body type # ($bodytyp) and instance # ($num) |
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216 | # Enable TLS use if TLS is non-zero (true). Disable if zero |
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217 | proc RigidBodyEnableTLS {phase bodytyp num TLS} { |
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218 | if {[lsearch [RigidBodyMappingList $phase $bodytyp] $num] == -1} { |
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219 | return "" |
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220 | } |
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221 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1][ToHex $num 1]" |
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222 | if {$TLS} { |
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223 | setexp "${key} LSTF" [format "%5d" 1] 1 5 |
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224 | if {![existsexp "${key}TLSF1"]} {makeexprec "${key}TLSF1"} |
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225 | if {![existsexp "${key}TLSP1"]} { |
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226 | makeexprec "${key}TLSP1" |
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227 | set str {} |
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228 | foreach v {.01 .01 .01 0 0 0 0 0} d {4 4 4 4 4 4 2 2} { |
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229 | validreal v 8 $d |
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230 | append str $v |
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231 | } |
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232 | setexp "${key}TLSP1" $str 1 64 |
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233 | } |
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234 | if {![existsexp "${key}TLSP2"]} { |
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235 | makeexprec "${key}TLSP2" |
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236 | set str {} |
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237 | set v 0 |
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238 | foreach d {2 2 2 2 4 4 4 4} { |
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239 | validreal v 8 $d |
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240 | append str $v |
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241 | } |
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242 | setexp "${key}TLSP2" $str 1 64 |
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243 | } |
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244 | if {![existsexp "${key}TLSP3"]} { |
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245 | makeexprec "${key}TLSP3" |
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246 | set str {} |
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247 | set v 0 |
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248 | foreach d {4 4 4 4} { |
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249 | validreal v 8 $d |
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250 | append str $v |
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251 | } |
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252 | setexp "${key}TLSP3" $str 1 64 |
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253 | } |
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254 | } else { |
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255 | setexp "${key} LSTF" [format "%5d" 0] 1 5 |
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256 | } |
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257 | return 1 |
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258 | } |
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259 | |
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260 | # Control the TLS values for Rigid body mapping for mapping with |
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261 | # phase ($phase), body type # ($bodytyp) and instance # ($num) |
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262 | # set the 20 TLS values to the values in TLSvals |
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263 | # There must be exactly 20 TLS terms, which are ordered: |
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264 | # T11, T22, T33, T12, T13, T23 |
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265 | # L11, L22, L33, L12, L13, L23 |
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266 | # S12, S13, S21, S23, S31, S32, SAA, SBB |
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267 | proc RigidBodySetTLS {phase bodytyp num TLSvals} { |
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268 | if {[lsearch [RigidBodyMappingList $phase $bodytyp] $num] == -1} { |
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269 | return "" |
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270 | } |
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271 | if {[llength $TLSvals] != 20} {return ""} |
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272 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1][ToHex $num 1]" |
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273 | set TLS [string trim [string range [readexp "${key} LSTF"] 0 4]] |
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274 | if {$TLS == 0} {return ""} |
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275 | if {![existsexp "${key}TLSF1"]} {makeexprec "${key}TLSF1"} |
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276 | foreach n {1 2 3} { |
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277 | if {![existsexp "${key}TLSP$n"]} {makeexprec "${key}TLSP$n"} |
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278 | } |
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279 | set str {} |
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280 | set n 1 |
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281 | set i 0 |
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282 | foreach v $TLSvals d {4 4 4 4 4 4 2 2 2 2 2 2 4 4 4 4 4 4 4 4} { |
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283 | incr i |
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284 | validreal v 8 $d |
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285 | append str $v |
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286 | if {$i == 8} { |
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287 | set i 0 |
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288 | setexp "${key}TLSP$n" $str 1 64 |
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289 | incr n |
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290 | set str {} |
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291 | } |
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292 | } |
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293 | setexp "${key}TLSP$n" $str 1 64 |
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294 | return 1 |
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295 | } |
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296 | |
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297 | # set damping values for a Rigid body mapping |
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298 | # for mapping with phase ($phase), body type # ($bodytyp) and instance # ($num) |
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299 | # there must be 9 damping values in RBdamp for the 9 position variables (origin followed by rotations) |
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300 | # Use of TLSdamp is optional, but to be used, TLS representation must be enabled and there must be |
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301 | # three damping terms (for all T terms; for all L terms and for all S terms) |
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302 | proc RigidBodySetDamp {phase bodytyp num RBdamp "TLSdamp {}"} { |
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303 | if {[lsearch [RigidBodyMappingList $phase $bodytyp] $num] == -1} { |
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304 | return "" |
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305 | } |
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306 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1][ToHex $num 1]" |
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307 | if {[llength $RBdamp] != 9} {return ""} |
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308 | set str {} |
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309 | foreach v $RBdamp { |
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310 | if {[validint v 1] != 1} {set v " "} |
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311 | append str $v |
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312 | } |
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313 | setexp "$key BDFL" $str 46 9 |
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314 | set TLS [string trim [string range [readexp "${key} LSTF"] 0 4]] |
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315 | if {$TLS != 0 && [llength $TLSdamp] == 3} { |
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316 | set str {} |
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317 | foreach v $TLSdamp { |
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318 | if {[validint v 1] != 1} {set v " "} |
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319 | append str $v |
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320 | } |
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321 | setexp "$key BDFL" $str 55 3 |
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322 | } |
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323 | return 1 |
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324 | } |
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325 | |
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326 | # set refinement variable numbers for a Rigid body mapping |
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327 | # for mapping with phase ($phase), body type # ($bodytyp) and instance # ($num) |
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328 | # there must be 9 variable values in RBvar for the 9 position variables (origin followed by rotations) |
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329 | # note that the variable values should be unique integers |
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330 | proc RigidBodyVary {phase bodytyp num RBvar} { |
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331 | if {[lsearch [RigidBodyMappingList $phase $bodytyp] $num] == -1} { |
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332 | return "" |
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333 | } |
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334 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1][ToHex $num 1]" |
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335 | if {[llength $RBvar] != 9} {return ""} |
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336 | set str {} |
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337 | foreach v $RBvar { |
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338 | if {[validint v 5] != 1} {set v " "} |
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339 | append str $v |
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340 | } |
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341 | setexp "$key BDFL" $str 1 45 |
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342 | } |
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343 | |
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344 | # set TLS refinement variable numbers for a Rigid body mapping |
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345 | # for mapping with phase ($phase), body type # ($bodytyp) and instance # ($num) |
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346 | # there must be 20 variable values in TLSvar for the 20 parameters: |
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347 | # T11, T22, T33, T12, T13, T23 |
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348 | # L11, L22, L33, L12, L13, L23 |
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349 | # S12, S13, S21, S23, S31, S32, SAA, SBB |
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350 | # note that the variable values should be unique integers |
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351 | proc RigidBodyTLSVary {phase bodytyp num TLSvar} { |
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352 | if {[lsearch [RigidBodyMappingList $phase $bodytyp] $num] == -1} { |
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353 | return "" |
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354 | } |
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355 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1][ToHex $num 1]" |
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356 | if {[llength $TLSvar] != 20} {return ""} |
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357 | set TLS [string trim [string range [readexp "${key} LSTF"] 0 4]] |
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358 | if {$TLS == 0} {return ""} |
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359 | set str {} |
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360 | foreach v $TLSvar { |
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361 | if {[validint v 3] != 1} {set v " "} |
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362 | append str $v |
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363 | } |
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364 | setexp "${key}TLSF1" $str 1 60 |
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365 | |
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366 | # AddRigidBody: add a new rigid body definition into the .EXP file |
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367 | # arguments are: |
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368 | # multlist: defines a list of multipliers for each set of coordinates. In the |
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369 | # simplest case this will be {1} |
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370 | # coordlist: a nested list of coordinates such as { { {0 0 0} {.1 .1 .1} {.2 .2 .2} } } |
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371 | # note that when the length of multlist > 1 then coordlist must have the same length. |
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372 | # for input where |
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373 | # multlist = {s1 s2} and |
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374 | # coordlist = { { {0 0 0} {1 1 0} {.0 .0 .0} ...} |
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375 | # {0 0 0} {1 1 0} {2 1 2} ...} |
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376 | # } |
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377 | # the cartesian coordinates are defined from the input as |
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378 | # atom 1 = s1 * (0,0,0) + s2*(0,0,0) [ = (0,0,0)] |
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379 | # atom 2 = s1 * (1,1,0) + s2*(1,1,0) [ = (s1+s2) * (1,1,0)] |
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380 | # atom 3 = s1 * (0,0,0) + s2*(2,1,2) [ = s2 * (2,1,2)] |
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381 | # ... |
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382 | # Returns the number of the rigid body that has been created |
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383 | proc AddRigidBody {multlist coordlist} { |
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384 | # find the first unused body # |
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385 | foreach rbnum {1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16} { |
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386 | set value $rbnum |
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387 | validint value 2 |
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388 | set key "RGBD${value}" |
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389 | if {! [existsexp "$key NATR "]} {break} |
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390 | } |
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391 | # did we go too far? |
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392 | if {$rbnum == 16} {return ""} |
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393 | # increment the RB counter |
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394 | set n [string trim [readexp "RGBD NRBDS"]] |
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395 | if {$n == ""} { |
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396 | makeexprec "RGBD NRBDS" |
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397 | set n 0 |
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398 | } |
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399 | incr n |
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400 | validint n 5 |
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401 | setexp "RGBD NRBDS" $n 1 5 |
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402 | SetRigidBody $rbnum $multlist $coordlist |
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403 | return $rbnum |
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404 | } |
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405 | |
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406 | # DeleteRigidBody: remove a rigid body definition from the .EXP file |
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407 | # The body may not be mapped. I am not sure if GSAS allows more than 9 bodies, |
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408 | # but if it does, the simplifed approach used here will fail, so this |
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409 | # is not allowed. |
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410 | # Input: |
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411 | # Rigid body number |
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412 | # Returns: |
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413 | # 1 on success |
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414 | # -1 if the body number is 11 or greater |
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415 | # -2 if the body is mapped |
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416 | # -3 if the body is not defined |
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417 | proc DeleteRigidBody {rbnum} { |
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418 | # can't delete bodies with numbers higher than 10, since the key prefix |
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419 | # (RGBD11... will overlap with rigid body instance records, which would be |
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420 | # deleted below |
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421 | if {$rbnum > 10} { |
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422 | return -1 |
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423 | } |
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424 | set value $rbnum |
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425 | validint value 2 |
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426 | set key "RGBD${value}" |
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427 | if {![existsexp "$key NATR "]} { |
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428 | return -2 |
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429 | } |
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430 | # make sure the body is not mapped |
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431 | if {[string trim [string range [readexp "$key NBDS"] 0 4]] != 0} { |
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432 | return -3 |
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433 | } |
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434 | # delete the records starting with "RGBD x" or "RGBD10" |
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435 | foreach key [array names ::exparray "${key}*"] { |
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436 | #puts $key |
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437 | delexp $key |
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438 | } |
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439 | # decrement the RB counter |
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440 | set n [string trim [readexp "RGBD NRBDS"]] |
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441 | if {$n == ""} { |
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442 | set n 0 |
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443 | } |
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444 | incr n -1 |
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445 | validint n 5 |
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446 | if {$n > 0} { |
---|
447 | setexp "RGBD NRBDS" $n 1 5 |
---|
448 | } else { |
---|
449 | delexp "RGBD NRBDS" |
---|
450 | } |
---|
451 | return 1 |
---|
452 | } |
---|
453 | |
---|
454 | # ReplaceRigidBody: replace all the information for rigid body #rbnum |
---|
455 | # Works the sames as AddRigidBody (see above) except that the rigid body is replaced rather |
---|
456 | # than added. |
---|
457 | # Note that count of the # of times the body is used is preserved |
---|
458 | proc ReplaceRigidBody {rbnum multlist coordlist} { |
---|
459 | set value $rbnum |
---|
460 | validint value 2 |
---|
461 | set key "RGBD${value}" |
---|
462 | set line [readexp "$key NBDS"] |
---|
463 | foreach key [array names ::exparray "${key}*"] { |
---|
464 | #puts $key |
---|
465 | delexp $key |
---|
466 | } |
---|
467 | SetRigidBody $rbnum $multlist $coordlist |
---|
468 | setexp "$key NBDS" $line 1 68 |
---|
469 | } |
---|
470 | |
---|
471 | # Edit the parameters for rigid body #rbnum |
---|
472 | # (normally called from ReplaceRigidBody or AddRigidBody) |
---|
473 | proc SetRigidBody {rbnum multlist coordlist} { |
---|
474 | set value $rbnum |
---|
475 | validint value 2 |
---|
476 | set key "RGBD${value}" |
---|
477 | # number of atoms |
---|
478 | set value [llength [lindex $coordlist 0]] |
---|
479 | validint value 5 |
---|
480 | makeexprec "$key NATR" |
---|
481 | setexp "$key NATR" $value 1 5 |
---|
482 | # number of times used |
---|
483 | set value 0 |
---|
484 | validint value 5 |
---|
485 | makeexprec "$key NBDS" |
---|
486 | setexp "$key NBDS" $value 1 5 |
---|
487 | # number of coordinate matrices |
---|
488 | set value [llength $multlist] |
---|
489 | validint value 5 |
---|
490 | makeexprec "$key NSMP" |
---|
491 | setexp "$key NSMP" $value 1 5 |
---|
492 | set i 0 |
---|
493 | foreach mult $multlist coords $coordlist { |
---|
494 | incr i |
---|
495 | makeexprec "${key}${i}PARM" |
---|
496 | setexp "${key}${i}PARM" [format "%10.5f%5d%5d" $mult 0 0] 1 20 |
---|
497 | set j 0 |
---|
498 | foreach item $coords { |
---|
499 | #puts $item |
---|
500 | incr j |
---|
501 | set value $j |
---|
502 | validint value 3 |
---|
503 | makeexprec "${key}${i}SC$value" |
---|
504 | if {[llength $item] == 4} { |
---|
505 | setexp "${key}${i}SC$value" [eval format "%10.6f%10.6f%10.6f%10s" $item] 1 40 |
---|
506 | } elseif {[llength $item] == 3} { |
---|
507 | setexp "${key}${i}SC$value" [eval format "%10.6f%10.6f%10.6f" $item] 1 30 |
---|
508 | } else { |
---|
509 | return -code 3 "Invalid number of coordinates" |
---|
510 | } |
---|
511 | } |
---|
512 | } |
---|
513 | } |
---|
514 | |
---|
515 | # convert a decimal to the GSAS hex encoding with a field $digits long. |
---|
516 | proc ToHex {num digits} { |
---|
517 | return [string toupper [format "%${digits}x" $num]] |
---|
518 | } |
---|
519 | |
---|
520 | # convert a GSAS hex encoding to a decimal integer |
---|
521 | proc FromHex {hex} { |
---|
522 | return [scan $hex "%x"] |
---|
523 | } |
---|
524 | |
---|
525 | # MapRigidBody: define an "instance" of a rigid body: meaning that the coordinates |
---|
526 | # (and optionally U values) for a set of atoms will be generated from the rigid body |
---|
527 | # arguments: |
---|
528 | # phase: phase number (1-9) |
---|
529 | # bodytyp: number of rigid body (1-15) as returned from AddRigidBody |
---|
530 | # firstatom: sequence number of the first atom in phase (note that atoms may |
---|
531 | # not be numbered sequentially) |
---|
532 | # position: list of three fractional coordinates for the origin of the rigid body coordinates |
---|
533 | # angles: list of 3 angles to rotate the rigid body coordinates around x, y, z of the |
---|
534 | # cartesian system before the body is translated to position. |
---|
535 | # returns the instance # (number of times body $bodytyp has been used in phase $phase) |
---|
536 | proc MapRigidBody {phase bodytyp firstatom position angles} { |
---|
537 | # find the first unused body # for this phase & type |
---|
538 | foreach rbnum {1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16} { |
---|
539 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1][ToHex $rbnum 1]" |
---|
540 | if {! [existsexp "$key NDA"]} {break} |
---|
541 | } |
---|
542 | # did we go too far? |
---|
543 | if {$rbnum == 16} {return ""} |
---|
544 | # increment number of mapped bodies of this type overall |
---|
545 | set value $bodytyp |
---|
546 | validint value 2 |
---|
547 | set key "RGBD${value}" |
---|
548 | set used [string trim [string range [readexp "$key NBDS"] 0 4]] |
---|
549 | incr used |
---|
550 | set value $used |
---|
551 | validint value 5 |
---|
552 | setexp "$key NBDS" $value 1 5 |
---|
553 | # increment number of mapped bodies of this type in this phase |
---|
554 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1]" |
---|
555 | if {[existsexp "$key NBDS"]} { |
---|
556 | set used [string trim [string range [readexp "$key NBDS"] 0 4]] |
---|
557 | } else { |
---|
558 | makeexprec "$key NBDS" |
---|
559 | set used 0 |
---|
560 | } |
---|
561 | incr used |
---|
562 | set value $used |
---|
563 | validint value 5 |
---|
564 | setexp "$key NBDS" $value 1 5 |
---|
565 | # now write the mapping parameters |
---|
566 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1][ToHex $rbnum 1]" |
---|
567 | set value $firstatom |
---|
568 | validint value 5 |
---|
569 | makeexprec "$key NDA" |
---|
570 | setexp "$key NDA" $value 1 5 |
---|
571 | set l1 {} |
---|
572 | set l2 {} |
---|
573 | for {set i 0} {$i < 9} {incr i} { |
---|
574 | append l1 [format %5d 0] |
---|
575 | append l2 [format %1d 0] |
---|
576 | } |
---|
577 | makeexprec "$key BDFL" |
---|
578 | setexp "$key BDFL" $l1$l2 1 54 |
---|
579 | makeexprec "${key} BDLC" |
---|
580 | setexp "${key} BDLC" [eval format "%10.6f%10.6f%10.6f" $position] 1 30 |
---|
581 | makeexprec "${key} BDOR" |
---|
582 | set l1 {} |
---|
583 | foreach val "$angles 0 0 0" dir "1 2 3 1 1 1" { |
---|
584 | append l1 [format "%8.2f%2d" $val $dir] |
---|
585 | } |
---|
586 | setexp "${key} BDOR" $l1 1 60 |
---|
587 | makeexprec "${key} LSTF" |
---|
588 | setexp "${key} LSTF" [format "%5d" 0] 1 5 |
---|
589 | return $rbnum |
---|
590 | } |
---|
591 | |
---|
592 | # EditRigidBodyMapping: edit parameters that define an "instance" of a rigid body (see MapRigidBody) |
---|
593 | # arguments: |
---|
594 | # phase: phase number (1-9) |
---|
595 | # bodytyp: number of rigid body (1-15) as returned from AddRigidBody |
---|
596 | # bodynum: instance number, as returned by MapRigidBody |
---|
597 | # position: list of three fractional coordinates for the origin of the rigid body coordinates |
---|
598 | # angles: list of 3 angles to rotate the rigid body coordinates around x, y, z of the |
---|
599 | # cartesian system before the body is translated to position. |
---|
600 | # |
---|
601 | proc EditRigidBodyMapping {phase bodytyp bodynum position angles} { |
---|
602 | # number of bodies of this type in this phase |
---|
603 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1][ToHex $bodynum 1]" |
---|
604 | setexp "${key} BDLC" [eval format "%10.6f%10.6f%10.6f" $position] 1 30 |
---|
605 | set l1 {} |
---|
606 | foreach val "$angles 0 0 0" dir "1 2 3 1 1 1" { |
---|
607 | append l1 [format "%8.2f%2d" $val $dir] |
---|
608 | } |
---|
609 | setexp "${key} BDOR" $l1 1 60 |
---|
610 | } |
---|
611 | |
---|
612 | # UnMapRigidBody: remove a rigid body constraint by removing a RB "instance" |
---|
613 | # (undoes MapRigidBody) |
---|
614 | # arguments: |
---|
615 | # phase: phase number (1-9) |
---|
616 | # bodytyp: number of rigid body (1-15) as returned from AddRigidBody |
---|
617 | # bodynum: instance number, as returned by MapRigidBody |
---|
618 | proc UnMapRigidBody {phase bodytyp mapnum} { |
---|
619 | if {[lsearch [RigidBodyMappingList $phase $bodytyp] $mapnum] == -1} { |
---|
620 | return "" |
---|
621 | } |
---|
622 | # decrement number of mapped bodies of this type overall |
---|
623 | set value $bodytyp |
---|
624 | validint value 2 |
---|
625 | set key "RGBD${value}" |
---|
626 | set used [string trim [string range [readexp "$key NBDS"] 0 4]] |
---|
627 | incr used -1 |
---|
628 | set value $used |
---|
629 | validint value 5 |
---|
630 | setexp "$key NBDS" $value 1 5 |
---|
631 | # decrement number of mapped bodies of this type in this phase |
---|
632 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1]" |
---|
633 | if {[existsexp "$key NBDS"]} { |
---|
634 | set used [string trim [string range [readexp "$key NBDS"] 0 4]] |
---|
635 | } else { |
---|
636 | set used 0 |
---|
637 | } |
---|
638 | incr used -1 |
---|
639 | set value $used |
---|
640 | validint value 5 |
---|
641 | if {$used > 0} { |
---|
642 | setexp "$key NBDS" $value 1 5 |
---|
643 | } else { |
---|
644 | delexp "$key NBDS" |
---|
645 | } |
---|
646 | # now delete the mapping parameter records |
---|
647 | set key "RGBD[ToHex $phase 1][ToHex $bodytyp 1][ToHex $mapnum 1]" |
---|
648 | foreach key [array names ::exparray "${key}*"] { |
---|
649 | delexp $key |
---|
650 | } |
---|
651 | return $used |
---|
652 | } |
---|
653 | |
---|
654 | #============================================================================ |
---|
655 | # Rigid body utility routines |
---|
656 | #============================================================================ |
---|
657 | # RigidBodyGetVarNums: Returns a list of the variable numbers in use |
---|
658 | # for rigid body variable parameters. |
---|
659 | # RigidBodyAtomNums: returns a list of atom numbers that are mapped to |
---|
660 | # rigid bodies in a selected phase |
---|
661 | # RigidStartAtoms: returns a list of atoms that are allowed for creation of RB |
---|
662 | # ExtractRigidBody: Use the GSAS geometry program to cartesian coordinates & |
---|
663 | # setting info for a RB from fractional coordinates for atoms in a phase |
---|
664 | # RunRecalcRBCoords: updates the coordinates in all phases after changes have |
---|
665 | # been made to rigid parameters. |
---|
666 | # CalcBody: Convert ortho to fractional coordinates using RB parameters |
---|
667 | # FitBody: Optimize the origin and Euler angles to match a rigid body to a |
---|
668 | # set of fractional coordinates |
---|
669 | # zmat2coord: convert a z-matrix to a set of cartesian coordinates |
---|
670 | # RB2cart: convert the representation used for rigid bodies into |
---|
671 | # cartesian coordinates |
---|
672 | # PlotRBtype: plot a rigid body with DRAWxtl |
---|
673 | # PlotRBcoords: plot orthogonal coordinates with DRAWxtl |
---|
674 | # DRAWxtlPlotRBFit: plot a set of fraction coordinates superimposed |
---|
675 | # on a structure read from a phase with DRAWxtl |
---|
676 | #============================================================================ |
---|
677 | #============================================================================ |
---|
678 | # RigidBodyGetVarNums: Returns a list of the variable numbers used already |
---|
679 | # for rigid body variable parameters |
---|
680 | proc RigidBodyGetVarNums {} { |
---|
681 | set varlist {} |
---|
682 | foreach type [RigidBodyList] { |
---|
683 | foreach phase $::expmap(phaselist) { |
---|
684 | foreach i [RigidBodyMappingList $phase $type] { |
---|
685 | set items [ReadRigidBodyMapping $phase $type $i] |
---|
686 | set varlist [concat $varlist [lindex $items 3]] |
---|
687 | if {[llength [lindex $items 6]] > 0} { |
---|
688 | set varlist [concat $varlist [lindex $items 6]] |
---|
689 | } |
---|
690 | } |
---|
691 | } |
---|
692 | } |
---|
693 | return [lsort -integer -unique $varlist] |
---|
694 | } |
---|
695 | |
---|
696 | # RigidBodyAtomNums: Returns a list of the atoms mapped to rigid bodies in |
---|
697 | # phase $phase |
---|
698 | proc RigidBodyAtomNums {phase} { |
---|
699 | if {[lsearch $::expmap(phaselist) $phase] == -1} {return ""} |
---|
700 | set allatoms $::expmap(atomlist_$phase) |
---|
701 | # get matching atoms coordinate range |
---|
702 | set mappedlist {} |
---|
703 | foreach type [RigidBodyList] { |
---|
704 | foreach i [RigidBodyMappingList $phase $type] { |
---|
705 | # get the number of atoms in this type of body |
---|
706 | set natoms [llength [lindex [lindex [lindex [ReadRigidBody $type] 1] 0] 3]] |
---|
707 | set natom1 [expr {$natoms - 1}] |
---|
708 | set items [ReadRigidBodyMapping $phase $type $i] |
---|
709 | set firstatom [lindex $items 0] |
---|
710 | set firstind [lsearch $allatoms $firstatom] |
---|
711 | set mappedlist [concat $mappedlist \ |
---|
712 | [lrange \ |
---|
713 | [lrange $allatoms $firstind end] \ |
---|
714 | 0 $natom1] \ |
---|
715 | ] |
---|
716 | } |
---|
717 | } |
---|
718 | return [lsort -integer $mappedlist] |
---|
719 | } |
---|
720 | |
---|
721 | # RigidStartAtoms: Find allowed starting atoms for a rigid body in a phase |
---|
722 | # Input: |
---|
723 | # phase is the phase number |
---|
724 | # natoms is the number of atoms in the RB to be mapped |
---|
725 | # Returns a list of valid "start" atoms. |
---|
726 | # Example: if the atom numbers in the phase are {2 4 5 6 7 8} and no rigid bodies |
---|
727 | # are mapped, then a 4-atom body can be mapped starting with atom 2, 4 or 5 only, |
---|
728 | # so {2 4 5} is returned |
---|
729 | # If atoms 2-6 were already mapped, then this routine would return an empty |
---|
730 | # list, as it is not possible to map the body. |
---|
731 | proc RigidStartAtoms {phase natoms} { |
---|
732 | if {[lsearch $::expmap(phaselist) $phase] == -1} {return ""} |
---|
733 | set allatoms $::expmap(atomlist_$phase) |
---|
734 | set usedatoms [RigidBodyAtomNums $phase] |
---|
735 | set startatomlist {} |
---|
736 | for {set i 0} {$i < [llength $allatoms]} {incr i} { |
---|
737 | set al [lrange $allatoms $i [expr {$i+$natoms-1}]] |
---|
738 | if {[llength $al] < $natoms} break |
---|
739 | set ok 1 |
---|
740 | foreach atom $al { |
---|
741 | if {[lsearch $usedatoms $atom] != -1} { |
---|
742 | set ok 0 |
---|
743 | break |
---|
744 | } |
---|
745 | } |
---|
746 | if $ok {lappend startatomlist [lindex $al 0]} |
---|
747 | } |
---|
748 | return $startatomlist |
---|
749 | } |
---|
750 | |
---|
751 | # ExtractRigidBody: Use the GSAS geometry program to compute a set of cartesian coordinates for a |
---|
752 | # set of atoms in a .EXP file and provide the origin shift and Euler angles needed to |
---|
753 | # place the cartesian system into the crystal coordinates. Used for setting up a rigid body. |
---|
754 | # Returns a nested list of lists: |
---|
755 | # element 0: a list of the origin location {x y z} in fraction coordinates |
---|
756 | # element 1: a list of three rotation angles in form {a1 a2 a3} |
---|
757 | # where a1, a2 and a3 are rotations around the cartesian x, y and z axes |
---|
758 | # element 2: a list of $natom cartesian coordinate triples {{x1 y1 z1} {x2 y2 z2}...} |
---|
759 | # arguments: |
---|
760 | # phase: phase # |
---|
761 | # natom: number of atoms in group |
---|
762 | # firstatom: sequence # in phase (may be > than number of the atom) |
---|
763 | # originlist: atoms to define origin (where 1 is first atom in group; <= natom) |
---|
764 | # vector1: list of 3 values with X, Y or Z, atom #a and #b (number as in origin) |
---|
765 | # vector2: list of 3 values with X, Y or Z, atom #a and #b (number as in origin) |
---|
766 | # note that vector2 must define a different axis than vector1 |
---|
767 | # also and vector1 and vector2 cannot use the same atom pair |
---|
768 | proc ExtractRigidBody {phase natom firstatom originlist vector1 vector2} { |
---|
769 | global expgui |
---|
770 | set fp [open "geom.inp" "w"] |
---|
771 | puts $fp "N" |
---|
772 | puts $fp "N" |
---|
773 | puts $fp $phase |
---|
774 | puts $fp "N" |
---|
775 | |
---|
776 | puts $fp "R" |
---|
777 | puts $fp "$natom" |
---|
778 | puts $fp "$firstatom" |
---|
779 | puts $fp [llength $originlist] |
---|
780 | foreach i $originlist { |
---|
781 | puts $fp $i |
---|
782 | } |
---|
783 | foreach i [concat $vector1 $vector2] { |
---|
784 | puts $fp $i |
---|
785 | } |
---|
786 | puts $fp "0" |
---|
787 | puts $fp "X" |
---|
788 | close $fp |
---|
789 | catch { |
---|
790 | exec [file join $expgui(gsasexe) geometry] $expgui(expfile) < geom.inp > geom.out |
---|
791 | } |
---|
792 | file delete geom.inp |
---|
793 | set fp [open geom.out r] |
---|
794 | while {[gets $fp line] >= 0} { |
---|
795 | if {[string first "Cell coordinates of origin" $line] != -1} { |
---|
796 | set origin [lrange [string range $line [string first "are" $line] end] 1 3] |
---|
797 | } |
---|
798 | if {[string first "Rotation angles" $line] != -1} { |
---|
799 | set Euler {} |
---|
800 | foreach i [lrange [split $line "="] 1 3] { |
---|
801 | lappend Euler [lindex $i 0] |
---|
802 | } |
---|
803 | #puts $line |
---|
804 | #puts $Euler |
---|
805 | } |
---|
806 | if {[string first "Atom Orthon" $line] != -1} { |
---|
807 | set coordlist {} |
---|
808 | for {set i 1} {$i <= $natom} {incr i} { |
---|
809 | gets $fp line |
---|
810 | set coord {} |
---|
811 | lappend coord [string trim [string range $line 9 15]] |
---|
812 | lappend coord [string trim [string range $line 16 22]] |
---|
813 | lappend coord [string trim [string range $line 23 29]] |
---|
814 | lappend coord [string trim [string range $line 0 8]] |
---|
815 | #puts $line |
---|
816 | #puts $coord |
---|
817 | lappend coordlist $coord |
---|
818 | } |
---|
819 | #puts $coordlist |
---|
820 | } |
---|
821 | } |
---|
822 | #file delete geom.out |
---|
823 | return [list $origin $Euler $coordlist] |
---|
824 | } |
---|
825 | |
---|
826 | # RunRecalcRBCoords: updates the coordinates in a .EXP file after a rigid |
---|
827 | # body has been changed, mapped or the setting info is changed |
---|
828 | proc RunRecalcRBCoords { } { |
---|
829 | global expgui tcl_platform |
---|
830 | set input [open resetmult.inp w] |
---|
831 | puts $input "Y" |
---|
832 | puts $input "l b" |
---|
833 | puts $input "n" |
---|
834 | puts $input "x x x" |
---|
835 | puts $input "x" |
---|
836 | close $input |
---|
837 | # Save the current exp file |
---|
838 | savearchiveexp |
---|
839 | # disable the file changed monitor |
---|
840 | set expgui(expModifiedLast) 0 |
---|
841 | set expnam [file root [file tail $expgui(expfile)]] |
---|
842 | set err [catch { |
---|
843 | if {$tcl_platform(platform) == "windows"} { |
---|
844 | exec [file join $expgui(gsasexe) expedt.exe] $expnam < resetmult.inp >& resetmult.out |
---|
845 | } else { |
---|
846 | exec [file join $expgui(gsasexe) expedt] $expnam < resetmult.inp >& resetmult.out |
---|
847 | } |
---|
848 | } errmsg] |
---|
849 | loadexp $expgui(expfile) |
---|
850 | set fp [open resetmult.out r] |
---|
851 | set out [read $fp] |
---|
852 | close $fp |
---|
853 | set expgui(exptoolout) $out |
---|
854 | catch {file delete resetmult.inp resetmult.out} |
---|
855 | if {$err} { |
---|
856 | return $errmsg |
---|
857 | } else { |
---|
858 | return "" |
---|
859 | } |
---|
860 | } |
---|
861 | |
---|
862 | |
---|
863 | # compute a rotation matrix for orthogonal coordinates (based on MAKMATD in GSAS) |
---|
864 | # rotate angle degrees around axis (1, 2 or 3) for (x, y, or z) |
---|
865 | # returns a list that can be used as a matrix in the La package |
---|
866 | proc RotMatrix {axis angle} { |
---|
867 | set ang [expr {$angle * acos(0) / 90.}] |
---|
868 | set mat "1 0 0 0 1 0 0 0 1" |
---|
869 | if {$axis == 1} { |
---|
870 | set i1 1 |
---|
871 | set i2 2 |
---|
872 | } elseif {$axis == 2} { |
---|
873 | set i1 2 |
---|
874 | set i2 0 |
---|
875 | } else { |
---|
876 | set i1 0 |
---|
877 | set i2 1 |
---|
878 | } |
---|
879 | proc imat {i1 i2} {return [expr {(3*$i2) + $i1}]} |
---|
880 | foreach item { |
---|
881 | {$i1 $i1 [expr {cos($ang)}]} |
---|
882 | {$i2 $i2 [expr {cos($ang)}]} |
---|
883 | {$i1 $i2 [expr {-sin($ang)}]} |
---|
884 | {$i2 $i1 [expr {sin($ang)}]} |
---|
885 | } { |
---|
886 | foreach {c r val} [subst $item] {} |
---|
887 | set mat [lreplace $mat [imat $c $r] [imat $c $r] $val] |
---|
888 | } |
---|
889 | return "2 3 3 $mat" |
---|
890 | } |
---|
891 | |
---|
892 | # compute the derivative of the rotation matrix with respect to the angle, see RotMatrix |
---|
893 | # (based on MAKMATD in GSAS) |
---|
894 | # returns a list that can be used as a matrix in the La package |
---|
895 | proc DerivRotMatrix {axis angle} { |
---|
896 | set ang [expr {$angle * acos(0) / 90.}] |
---|
897 | set mat "0 0 0 0 0 0 0 0 0" |
---|
898 | if {$axis == 1} { |
---|
899 | set i1 1 |
---|
900 | set i2 2 |
---|
901 | } elseif {$axis == 2} { |
---|
902 | set i1 2 |
---|
903 | set i2 0 |
---|
904 | } else { |
---|
905 | set i1 0 |
---|
906 | set i2 1 |
---|
907 | } |
---|
908 | proc imat {i1 i2} {return [expr {(3*$i2) + $i1}]} |
---|
909 | foreach item { |
---|
910 | {$i1 $i1 [expr {-sin($ang) * acos(0) / 90.}]} |
---|
911 | {$i2 $i2 [expr {-sin($ang) * acos(0) / 90.}]} |
---|
912 | {$i1 $i2 [expr {-cos($ang) * acos(0) / 90.}]} |
---|
913 | {$i2 $i1 [expr {cos($ang) * acos(0) / 90.}]} |
---|
914 | } { |
---|
915 | foreach {c r val} [subst $item] {} |
---|
916 | set mat [lreplace $mat [imat $c $r] [imat $c $r] $val] |
---|
917 | } |
---|
918 | return "2 3 3 $mat" |
---|
919 | } |
---|
920 | |
---|
921 | # compute an orthogonalization matrix from cell parameters (based on AMATRX in GSAS) |
---|
922 | # returns a list that can be used as a matrix in the La package |
---|
923 | proc OrthoMatrix {a b c alpha beta gamma} { |
---|
924 | set CA [expr {cos($alpha * acos(0) / 90.)}] |
---|
925 | set CB [expr {cos($beta * acos(0) / 90.)}] |
---|
926 | set CG [expr {cos($gamma * acos(0) / 90.)}] |
---|
927 | set SA [expr {sin($alpha * acos(0) / 90.)}] |
---|
928 | set SB [expr {sin($beta * acos(0) / 90.)}] |
---|
929 | set SC [expr {sin($gamma * acos(0) / 90.)}] |
---|
930 | set CASTAR [expr { ($CB*$CG-$CA)/($SB*$SC) }] ;#! cos(Alpha*) |
---|
931 | set CBSTAR [expr { ($CA*$CG-$CB)/($SA*$SC) }] ;#! cos(Beta*) |
---|
932 | set CCSTAR [expr { ($CA*$CB-$CG)/($SA*$SB) }] ;#! cos(Gamma*) |
---|
933 | set SASTAR [expr { sqrt(1.0-($CASTAR*$CASTAR*2)) }] ;#! sin(Alpha*) |
---|
934 | set SBSTAR [expr { sqrt(1.0-($CBSTAR*$CBSTAR*2)) }] ;#! sin(Beta*) |
---|
935 | set SCSTAR [expr { sqrt(1.0-($CCSTAR*$CCSTAR*2)) }] ;#! sin(Gamma*) |
---|
936 | |
---|
937 | set A "2 3 3 $a 0 0 0 $b 0 0 0 $c" |
---|
938 | set A1 "2 3 3 1.0 0 0 $CG [expr {$SASTAR*$SC}] [expr {-$CASTAR*$SC}] $CB 0.0 $SB" |
---|
939 | #!This matrix is |
---|
940 | #! (1.0 0.0 0.0 ) |
---|
941 | #! (cos(G) sin(A*)*sin(G) -cos(A*)*sin(G) ) |
---|
942 | #! (cos(B) 0.0 sin(B) ) |
---|
943 | return [La::transpose [La::mmult $A $A1]] |
---|
944 | } |
---|
945 | |
---|
946 | # compute the transformation matrix that converts a rigid body coordinates into fractional |
---|
947 | # coordinates |
---|
948 | # arguments: |
---|
949 | # rotations: a list of axes and angles to rotate: { {axis1 angle1} {axis2 angle2} ...} |
---|
950 | # where axis1,... can be 1, 2 or 3 corresponding to the cartesian X, Y or Z axes |
---|
951 | # cellprms: a list with "a b c alpha beta gamma" in Angstroms and degrees |
---|
952 | # returns a list that can be used as a matrix in the La package |
---|
953 | proc CalcXformMatrix {rotations cellprms} { |
---|
954 | set prod {} |
---|
955 | foreach item $rotations { |
---|
956 | #puts $item |
---|
957 | set mat [eval RotMatrix $item] |
---|
958 | if {$prod == ""} { |
---|
959 | set prod $mat |
---|
960 | } else { |
---|
961 | set prod [La::mmult $prod $mat] |
---|
962 | } |
---|
963 | } |
---|
964 | #puts "--- rotation product ---" |
---|
965 | #puts [La::show $prod] |
---|
966 | |
---|
967 | set ortho [eval OrthoMatrix $cellprms] |
---|
968 | #puts "--- ortho ---" |
---|
969 | #puts [La::show $ortho] |
---|
970 | set deortho [La::msolve $ortho [La::mident 3] ] |
---|
971 | #puts "--- deortho ---" |
---|
972 | #puts [La::show $deortho] |
---|
973 | #puts "--- xform ---" |
---|
974 | set xform [La::mmult $deortho $prod] |
---|
975 | return $xform |
---|
976 | } |
---|
977 | |
---|
978 | # transforms a triplet of orthogonal coordinates into fractional ones using |
---|
979 | # arguments: |
---|
980 | # xform: a transformation matrix from CalcXformMatrix |
---|
981 | # origin: a list of fraction coordinates {x y z} describing the location of the |
---|
982 | # origin of the orthogonal coordinates in the crystal system |
---|
983 | # ortho: a triplet of othogonal coordinates |
---|
984 | # returns a triplet of fractional coordinates |
---|
985 | proc Ortho2Xtal {xform origin ortho} { |
---|
986 | set ocv "2 3 0 $ortho" |
---|
987 | set frac [La::mmult $xform $ocv] |
---|
988 | #puts [La::show [La::transpose $frac]] |
---|
989 | #puts $frac |
---|
990 | set frac [La::madd $frac "[lrange $frac 0 2] $origin"] |
---|
991 | #puts [La::show [La::transpose $frac]] |
---|
992 | return $frac |
---|
993 | } |
---|
994 | |
---|
995 | # compute the derivative of the transformation matrix (see CalcXformMatrix) |
---|
996 | # with respect to every rotation in the $rotations list |
---|
997 | # arguments: |
---|
998 | # rotations: a list of axes and angles to rotate: { {axis1 angle1} {axis2 angle2} ...} |
---|
999 | # where axis1,... can be 1, 2 or 3 corresponding to the cartesian X, Y or Z axes |
---|
1000 | # cellprms: a list with "a b c alpha beta gamma" in Angstroms and degrees |
---|
1001 | # returns a list of matrices where each matrix is a list that can be used as a |
---|
1002 | # matrix in the La package |
---|
1003 | proc CalcDerivMatrix {rotations cellprms} { |
---|
1004 | set ortho [eval OrthoMatrix $cellprms] |
---|
1005 | set deortho [La::msolve $ortho [La::mident 3] ] |
---|
1006 | set derivlist {} |
---|
1007 | |
---|
1008 | foreach item $rotations { |
---|
1009 | #puts $item |
---|
1010 | set mat [eval DerivRotMatrix $item] |
---|
1011 | #puts $item |
---|
1012 | #puts [La::show $mat] |
---|
1013 | set xform [La::mmult $deortho $mat] |
---|
1014 | lappend derivlist $xform |
---|
1015 | } |
---|
1016 | return $derivlist |
---|
1017 | } |
---|
1018 | |
---|
1019 | # CalcBody: Calculate fractional coordinates using rigid body setting parameters |
---|
1020 | # arguments: |
---|
1021 | # Euler: a list of axes and angles to rotate: { {axis1 angle1} {axis2 angle2} ...} |
---|
1022 | # where axis1,... can be 1, 2 or 3 corresponding to the cartesian X, Y or Z axes |
---|
1023 | # cell: a list with "a b c alpha beta gamma" in Angstroms and degrees |
---|
1024 | # ortholist: list containing triplets with orthogonal coordinates |
---|
1025 | # origin: a list of fraction coordinates {x y z} describing the location of the |
---|
1026 | # origin of the orthogonal coordinates in the crystal system |
---|
1027 | # note that the length of ortholist, useflag and fraclist should be the same |
---|
1028 | # Returns a list with the computed fractional coordinates for all atoms |
---|
1029 | proc CalcBody {Euler cell ortholist origin} { |
---|
1030 | set xform [CalcXformMatrix $Euler $cell] |
---|
1031 | set i 0 |
---|
1032 | set sumdvs 0 |
---|
1033 | set fracout {} |
---|
1034 | set rmsout {} |
---|
1035 | foreach oc $ortholist { |
---|
1036 | set frac [lrange [Ortho2Xtal $xform $origin $oc] 3 end] |
---|
1037 | lappend fracout $frac |
---|
1038 | } |
---|
1039 | return $fracout |
---|
1040 | } |
---|
1041 | |
---|
1042 | |
---|
1043 | # fit a rigid body's origin |
---|
1044 | # arguments: |
---|
1045 | # Euler: a list of axes and angles to rotate: { {axis1 angle1} {axis2 angle2} ...} |
---|
1046 | # where axis1,... can be 1, 2 or 3 corresponding to the cartesian X, Y or Z axes |
---|
1047 | # cell: a list with "a b c alpha beta gamma" in Angstroms and degrees |
---|
1048 | # ortholist: list containing triplets with orthogonal coordinates |
---|
1049 | # useflag: list of flags to indicate if an atom should be used (1) or ignored (0) |
---|
1050 | # fraclist: list containing triplets with fractional coordinates |
---|
1051 | # origin: a list of fraction coordinates {x y z} describing the location of the |
---|
1052 | # origin of the orthogonal coordinates in the crystal system |
---|
1053 | # note that the length of ortholist, useflag and fraclist should be the same |
---|
1054 | # Returns a list with the following elements |
---|
1055 | # 0: a list with three new origin values |
---|
1056 | # 1: the root-mean square difference between the fraclist coordinates and those computed |
---|
1057 | # using the input values for those atoms where $use is one (in Angstroms) |
---|
1058 | # 2: the computed fractional coordinates for all atoms |
---|
1059 | # 3: individual rms values for all atoms (in Angstroms) |
---|
1060 | # note that items 1-3 are computed with the imput origin, not the revised one |
---|
1061 | proc FitBodyOrigin {Euler cell ortholist useflag fraclist origin} { |
---|
1062 | set xform [CalcXformMatrix $Euler $cell] |
---|
1063 | foreach var {x y z} {set sum($var) 0.0} |
---|
1064 | |
---|
1065 | set i 0 |
---|
1066 | set sumdvs 0 |
---|
1067 | set fracout {} |
---|
1068 | set rmsout {} |
---|
1069 | foreach oc $ortholist use $useflag coord $fraclist { |
---|
1070 | #puts "ortho: $oc" |
---|
1071 | set frac [lrange [Ortho2Xtal $xform $origin $oc] 3 end] |
---|
1072 | lappend fracout $frac |
---|
1073 | if {$use} {incr i} |
---|
1074 | set dvs 0 |
---|
1075 | foreach var {x y z} v1 $frac v2 $coord abc [lrange $cell 0 2] { |
---|
1076 | set dv [expr {($v2 - $v1)*$abc}] |
---|
1077 | set dvs [expr {$dvs + $dv*$dv}] |
---|
1078 | set sumdvs [expr {$sumdvs + $dv*$dv}] |
---|
1079 | if {$use} {set sum($var) [expr {$sum($var) + $dv/$abc}]} |
---|
1080 | } |
---|
1081 | lappend rmsout [expr {sqrt($dvs)}] |
---|
1082 | } |
---|
1083 | set rms 0 |
---|
1084 | if {$i > 1} {set rms [expr {sqrt($sumdvs)/$i}]} |
---|
1085 | set neworig {} |
---|
1086 | foreach var {x y z} o $origin { |
---|
1087 | lappend neworig [expr {$o + ($sum($var)/$i)}] |
---|
1088 | } |
---|
1089 | return [list $neworig $rms $fracout $rmsout] |
---|
1090 | } |
---|
1091 | |
---|
1092 | # fit a rigid body's Euler angles using least-squares |
---|
1093 | # arguments: |
---|
1094 | # Euler: a list of axes and angles to rotate: { {axis1 angle1} {axis2 angle2} ...} |
---|
1095 | # where axis1,... can be 1, 2 or 3 corresponding to the cartesian X, Y or Z axes |
---|
1096 | # cell: a list with "a b c alpha beta gamma" in Angstroms and degrees |
---|
1097 | # ortholist: list containing triplets with orthogonal coordinates |
---|
1098 | # useflag: list of flags to indicate if an atom should be used (1) or ignored (0) |
---|
1099 | # fraclist: list containing triplets with fractional coordinates |
---|
1100 | # origin: a list of fraction coordinates {x y z} describing the location of the |
---|
1101 | # origin of the orthogonal coordinates in the crystal system |
---|
1102 | # note that the length of ortholist, useflag and fraclist should be the same |
---|
1103 | # Returns a list of new Euler angles |
---|
1104 | proc FitBodyRot {Euler cell ortholist useflag fraclist origin} { |
---|
1105 | set xform [CalcXformMatrix $Euler $cell] |
---|
1106 | set derivlist [CalcDerivMatrix $Euler $cell] |
---|
1107 | set A "2 [expr 3*[llength $ortholist]] 3" |
---|
1108 | foreach oc $ortholist use $useflag coord $fraclist { |
---|
1109 | if {! $use} continue |
---|
1110 | foreach deriv $derivlist { |
---|
1111 | foreach xyz [lrange [Ortho2Xtal $deriv "0 0 0" $oc] 3 end] { |
---|
1112 | lappend A $xyz |
---|
1113 | } |
---|
1114 | } |
---|
1115 | } |
---|
1116 | #puts "A: [La::show $A]" |
---|
1117 | set y "2 [expr 3*[llength $ortholist]] 1" |
---|
1118 | foreach oc $ortholist use $useflag coord $fraclist { |
---|
1119 | if {! $use} continue |
---|
1120 | set frac [lrange [Ortho2Xtal $xform $origin $oc] 3 end] |
---|
1121 | foreach xyz $coord XYZ $frac { |
---|
1122 | lappend y [expr {$XYZ - $xyz}] |
---|
1123 | } |
---|
1124 | } |
---|
1125 | |
---|
1126 | set AtA [La::mmult [La::transpose $A] $A] |
---|
1127 | set Aty [La::mmult [La::transpose $A] $y] |
---|
1128 | |
---|
1129 | set l {} |
---|
1130 | #set shifts {} |
---|
1131 | foreach delta [lrange [La::msolve $AtA $Aty] 3 end] item $Euler { |
---|
1132 | #lappend shifts $delta |
---|
1133 | lappend l "[lindex $item 0] [expr {$delta + [lindex $item 1]}]" |
---|
1134 | } |
---|
1135 | #puts "shifts = $shifts" |
---|
1136 | return $l |
---|
1137 | } |
---|
1138 | |
---|
1139 | # FitBody: fit a rigid body's Origin and Euler angles |
---|
1140 | # arguments: |
---|
1141 | # Euler: a list of axes and angles to rotate: { {axis1 angle1} {axis2 angle2} ...} |
---|
1142 | # where axis1,... can be 1, 2 or 3 corresponding to the cartesian X, Y or Z axes |
---|
1143 | # cell: a list with "a b c alpha beta gamma" in Angstroms and degrees |
---|
1144 | # ortholist: list containing triplets with orthogonal coordinates |
---|
1145 | # useflag: list of flags to indicate if an atom should be used (1) or ignored (0) |
---|
1146 | # fraclist: list containing triplets with fractional coordinates |
---|
1147 | # origin: a list of fraction coordinates {x y z} describing the location of the |
---|
1148 | # origin of the orthogonal coordinates in the crystal system |
---|
1149 | # note that the length of ortholist, useflag and fraclist should be the same |
---|
1150 | # Returns a list containing |
---|
1151 | # new origin |
---|
1152 | # new Euler angles |
---|
1153 | # total rms |
---|
1154 | # fractional coordinates |
---|
1155 | # rms deviation in fractional coordinates of new Euler angles |
---|
1156 | proc FitBody {Euler cell ortholist useflag fraclist origin "ncycle 5"} { |
---|
1157 | #puts "start origin = $origin" |
---|
1158 | foreach { |
---|
1159 | origin |
---|
1160 | startrms |
---|
1161 | fracout |
---|
1162 | rmsout } [FitBodyOrigin $Euler $cell $ortholist $useflag $fraclist $origin] {} |
---|
1163 | #puts "start rms = $startrms" |
---|
1164 | set rmsprev $startrms |
---|
1165 | #puts "new origin = $origin" |
---|
1166 | for {set i 0} {$i < $ncycle} {incr i} { |
---|
1167 | set Eulerprev $Euler |
---|
1168 | set Euler [FitBodyRot $Euler $cell $ortholist $useflag $fraclist $origin] |
---|
1169 | #puts "New Euler $Euler" |
---|
1170 | #puts "after fit" |
---|
1171 | foreach { |
---|
1172 | origin |
---|
1173 | rms |
---|
1174 | fracout |
---|
1175 | rmsout } [FitBodyOrigin $Euler $cell $ortholist $useflag $fraclist $origin] {} |
---|
1176 | if {$rms > (1.1 * $rmsprev) + 0.01} { |
---|
1177 | #puts "rms = $rms, new origin = $origin" |
---|
1178 | set rmsprev $rms |
---|
1179 | } |
---|
1180 | } |
---|
1181 | #proc FitBodyOrigin {Euler cell ortholist useflag fraclist origin} |
---|
1182 | #return "$neworig $rms $fracout $rmsout" |
---|
1183 | set fmt {"%8.5f %8.5f %8.5f %8.5f %8.5f %8.5f %6.3f"} |
---|
1184 | #foreach fracin $fraclist fraccalc $fracout rmsi $rmsout { |
---|
1185 | #puts "[eval format $fmt $fracin $fraccalc $rmsi]" |
---|
1186 | #} |
---|
1187 | return [list $origin $Euler $rms $fracout $rmsout] |
---|
1188 | } |
---|
1189 | |
---|
1190 | # zmat2coord: convert a z-matrix to a set of cartesian coordinates |
---|
1191 | # a z-matrix is also known as "internal coordinates" or "torsion space" |
---|
1192 | # (see Journal of Computational Chemistry, Vol 26, #10, p. 1063â1068, 2005 or |
---|
1193 | # http://www.cmbi.ru.nl/molden/zmat/zmat.html) |
---|
1194 | # INPUT: |
---|
1195 | # atmlist is a list of ascii lines where each line contains |
---|
1196 | # lbl c1 distance c2 angle c3 torsion |
---|
1197 | # where each atom is computed from the previous where the new atom is: |
---|
1198 | # distance $distance from atom $c1 (angstrom) |
---|
1199 | # angle $angle from $c1--$c2 (degrees) |
---|
1200 | # torsion $torsion from $c1--$c2--$c3 (degrees) |
---|
1201 | # OUTPUT: |
---|
1202 | # zmat2coord returns a list of atom labels and cartesian coordinates, |
---|
1203 | # with 4 items in each element (label, x, y, z) |
---|
1204 | # this routine was tested against results from Babel via the web interface at |
---|
1205 | # http://www.shodor.org/chemviz/zmatrices/babel.html and sample input at |
---|
1206 | # http://iopenshell.usc.edu/howto/zmatrix/ |
---|
1207 | proc zmat2coord {atmlist} { |
---|
1208 | set torad [expr {acos(0)/90.}] |
---|
1209 | set i 0 |
---|
1210 | foreach line $atmlist { |
---|
1211 | incr i |
---|
1212 | foreach {lbl c1 dist c2 angle c3 torsion} $line {} |
---|
1213 | if {$i == 1} { |
---|
1214 | set atm(1) [list $lbl 0 0 0] ; # 1st atom is at origin |
---|
1215 | } elseif {$i == 2} { |
---|
1216 | set dist1 $dist |
---|
1217 | set atm(2) [list $lbl $dist1 0 0] ; # 2nd atom is along x-axis |
---|
1218 | } elseif {$i == 3} { |
---|
1219 | # 3rd atom can be bonded to the 1st or 2nd |
---|
1220 | if {$c1 == 1} { |
---|
1221 | set atm(3) [list $lbl \ |
---|
1222 | [expr {$dist * cos($torad * $angle)}] \ |
---|
1223 | [expr {$dist * sin($torad * $angle)}] \ |
---|
1224 | 0] |
---|
1225 | } else { |
---|
1226 | set atm(3) [list $lbl \ |
---|
1227 | [expr {$dist1 - $dist * cos($torad * $angle)}] \ |
---|
1228 | [expr {$dist * sin($torad * $angle)}] \ |
---|
1229 | 0] |
---|
1230 | } |
---|
1231 | } else { |
---|
1232 | set atm($i) [concat $lbl \ |
---|
1233 | [ahcat "atm" $c1 $dist $c2 $angle $c3 $torsion]] |
---|
1234 | } |
---|
1235 | } |
---|
1236 | set coordlist {} |
---|
1237 | foreach key [lsort -integer [array names atm]] { |
---|
1238 | lappend coordlist $atm($key) |
---|
1239 | } |
---|
1240 | return $coordlist |
---|
1241 | } |
---|
1242 | # Compute the length of a vector |
---|
1243 | proc vlen {a} { |
---|
1244 | set sum 0.0 |
---|
1245 | foreach ai $a { |
---|
1246 | set sum [expr {$sum + $ai*$ai}] |
---|
1247 | } |
---|
1248 | return [expr sqrt($sum)] |
---|
1249 | } |
---|
1250 | # compute vector (a + z * b) and optionally normalize to length d |
---|
1251 | proc vadd {a b d z} { |
---|
1252 | set c {} |
---|
1253 | foreach ai $a bi $b { |
---|
1254 | lappend c [expr {$bi + $z * $ai}] |
---|
1255 | } |
---|
1256 | set v [vlen $c] |
---|
1257 | if {$d != 0} { |
---|
1258 | set r {} |
---|
1259 | foreach ci $c { |
---|
1260 | lappend r [expr {$d * $ci / $v}] |
---|
1261 | } |
---|
1262 | return [list $v $r] |
---|
1263 | } |
---|
1264 | return [list $v $c] |
---|
1265 | } |
---|
1266 | # normalize a vector |
---|
1267 | proc vnrm {x} { |
---|
1268 | set v [vlen $x] |
---|
1269 | if {abs($v) < 1e-8} {return [list 0 0 0]} |
---|
1270 | set y {} |
---|
1271 | foreach xi $x { |
---|
1272 | lappend y [expr {$xi / $v}] |
---|
1273 | } |
---|
1274 | return $y |
---|
1275 | } |
---|
1276 | # compute the coordinates for an atom that is bonded: |
---|
1277 | # distance $dist from atom $nc |
---|
1278 | # angle $bondang from $nc--$nb |
---|
1279 | # torsion $torsang from $nc--$nb--$na |
---|
1280 | # coordinates are found in array $atmarr in the calling routine |
---|
1281 | # based on a Fortran routine provided by Peter Zavalij (Thanks Peter!) |
---|
1282 | proc ahcat {atmarr nc dist nb bondang na torsang} { |
---|
1283 | upvar 1 $atmarr atm |
---|
1284 | set xa [lrange $atm($na) 1 3] |
---|
1285 | set xb [lrange $atm($nb) 1 3] |
---|
1286 | set xc [lrange $atm($nc) 1 3] |
---|
1287 | set torad [expr {acos(0)/90.}] |
---|
1288 | # x = unit Vector A-B |
---|
1289 | foreach {x1 x2 x3} [lindex [vadd $xb $xa 1. -1.] 1] {} |
---|
1290 | # y = unit Vector C-B |
---|
1291 | set y [lindex [vadd $xb $xc 1. -1.] 1] |
---|
1292 | foreach {y1 y2 y3} $y {} |
---|
1293 | set z1 [expr {$x2*$y3 - $x3*$y2}] |
---|
1294 | set z2 [expr {$x3*$y1 - $x1*$y3}] |
---|
1295 | set z3 [expr {$x1*$y2 - $x2*$y1}] |
---|
1296 | set z [vnrm [list $z1 $z2 $z3]] |
---|
1297 | set q1 [expr {$y2*$z3 - $y3*$z2}] |
---|
1298 | set q2 [expr {$y3*$z1 - $y1*$z3}] |
---|
1299 | set q3 [expr {$y1*$z2 - $y2*$z1}] |
---|
1300 | set q [vnrm [list $q1 $q2 $q3]] |
---|
1301 | set th [expr {$bondang * $torad}] |
---|
1302 | set ph [expr {-1. * $torsang * $torad}] |
---|
1303 | set cth [expr {cos($th)}] |
---|
1304 | set sth [expr {sin($th)}] |
---|
1305 | set cph [expr {cos($ph)}] |
---|
1306 | set sph [expr {sin($ph)}] |
---|
1307 | set xh {} |
---|
1308 | foreach xci $xc xi $q zi $z yi $y { |
---|
1309 | lappend xh [expr { |
---|
1310 | $xci + |
---|
1311 | $dist*($sth*($cph*$xi + $sph*$zi)-$cth*$yi) |
---|
1312 | }] |
---|
1313 | } |
---|
1314 | return $xh |
---|
1315 | } |
---|
1316 | |
---|
1317 | # RB2cart: convert the rigid body representation reported as the 2nd element |
---|
1318 | # in ReadRigidBody into cartesian coordinates |
---|
1319 | # rblist: a list containing an element for each scaling factor |
---|
1320 | # in each element there are four items: |
---|
1321 | # a multiplier value for the rigid body coordinates |
---|
1322 | # a damping value (0-9) for the refinement of the multiplier (not used) |
---|
1323 | # a variable number if the multiplier will be refined (not used) |
---|
1324 | # a list of cartesian coordinates coordinates |
---|
1325 | # each cartesian coordinate contains 4 items: x,y,z and a label |
---|
1326 | # returns a list of coordinate triplets |
---|
1327 | proc RB2cart {rblist} { |
---|
1328 | foreach item $rblist { |
---|
1329 | foreach {mult damp ref coords} $item {} |
---|
1330 | set i 0 |
---|
1331 | foreach xyz $coords { |
---|
1332 | foreach {x y z} [lrange $xyz 0 2] {} |
---|
1333 | foreach val [lrange $xyz 0 2] var {X Y Z} { |
---|
1334 | if {[array names $var $i] == ""} { |
---|
1335 | set ${var}($i) [expr {$mult * $val}] |
---|
1336 | } else { |
---|
1337 | set ${var}($i) [expr {[set ${var}($i)] + $mult * $val}] |
---|
1338 | } |
---|
1339 | } |
---|
1340 | incr i |
---|
1341 | } |
---|
1342 | } |
---|
1343 | set out "" |
---|
1344 | foreach i [lsort -integer [array names X]] { |
---|
1345 | lappend out [list $X($i) $Y($i) $Z($i)] |
---|
1346 | } |
---|
1347 | return $out |
---|
1348 | } |
---|
1349 | |
---|
1350 | # get the name of the DRAWxtl application, if installed |
---|
1351 | proc GetDRAWxtlApp {} { |
---|
1352 | # is DRAWxtl installed? |
---|
1353 | set app {} |
---|
1354 | if {![catch {set fp [open [file join $::env(HOME) .drawxtlrc] r]}]} { |
---|
1355 | # line 12 is name of executable |
---|
1356 | set i 0 |
---|
1357 | while {$i < 12} { |
---|
1358 | incr i |
---|
1359 | gets $fp appname |
---|
1360 | } |
---|
1361 | close $fp |
---|
1362 | set app [auto_execok $appname] |
---|
1363 | } |
---|
1364 | if {$app != ""} { |
---|
1365 | return $appname |
---|
1366 | } |
---|
1367 | return "" |
---|
1368 | } |
---|
1369 | |
---|
1370 | # DRAWxtlPlotOrtho: plot orthogonal coordinates in DRAWxtl |
---|
1371 | # input: |
---|
1372 | # filename: file name for the .str file to create |
---|
1373 | # title: string for title in .str file |
---|
1374 | # coords: cartesian coordinates |
---|
1375 | # bondlist: list of bonds to draw as min, max length (A) and |
---|
1376 | # an optional color; for example: {{1.4 1.6} {1.2 1.3 Red}} |
---|
1377 | proc DRAWxtlPlotOrtho {filename title coords bondlist} { |
---|
1378 | foreach {xmin ymin zmin} {"" "" ""} {} |
---|
1379 | foreach {xmax ymax zmax} {"" "" ""} {} |
---|
1380 | foreach xyz $coords { |
---|
1381 | foreach {x y z} $xyz {} |
---|
1382 | foreach s {x y z} { |
---|
1383 | foreach t {min max} { |
---|
1384 | if {[set ${s}${t}] == ""} {set ${s}${t} [set $s]} |
---|
1385 | } |
---|
1386 | if {[set ${s}min] > [set $s]} {set ${s}min [set $s]} |
---|
1387 | if {[set ${s}max] < [set $s]} {set ${s}max [set $s]} |
---|
1388 | } |
---|
1389 | } |
---|
1390 | #puts "$xmin $xmax $ymin $ymax $zmin $zmax" |
---|
1391 | set max $xmin |
---|
1392 | foreach val "$xmin $xmax $ymin $ymax $zmin $zmax" { |
---|
1393 | if {$max < abs($val)} {set max $val} |
---|
1394 | } |
---|
1395 | set scale [expr {4.*$max}] |
---|
1396 | set a 10. |
---|
1397 | lappend range [expr -0.01+($xmin/$scale)] [expr 0.01+($xmax/$scale)] \ |
---|
1398 | [expr -0.01+($ymin/$scale)] [expr 0.01+($ymax/$scale)] \ |
---|
1399 | [expr -0.01+($zmin/$scale)] [expr 0.01+($zmax/$scale)] |
---|
1400 | set fp [open $filename w] |
---|
1401 | puts $fp "title $title" |
---|
1402 | puts $fp "box 0.000 Black" |
---|
1403 | puts $fp "background White" |
---|
1404 | puts $fp "nolabels" |
---|
1405 | puts $fp "cell $a $a $a 90 90 90" |
---|
1406 | puts $fp "spgr P 1" |
---|
1407 | puts $fp "pack $range" |
---|
1408 | set i 0 |
---|
1409 | foreach xyz $coords { |
---|
1410 | foreach {x y z} $xyz {} |
---|
1411 | incr i |
---|
1412 | puts $fp "atom c $i [expr {$x/$scale}] [expr {$y/$scale}] [expr {$z/$scale}]" |
---|
1413 | } |
---|
1414 | puts $fp "sphere c [expr 0.100*($a/$scale)] Red" |
---|
1415 | puts $fp "finish 0.70 0.30 0.08 0.01" |
---|
1416 | foreach bondpair $bondlist { |
---|
1417 | foreach {b1 b2 color} $bondpair {} |
---|
1418 | if {$color == ""} {set color Red} |
---|
1419 | puts $fp "bond c c [expr {0.01*$a/$scale}] [expr {$b1*$a/$scale}] [expr {$b2*$a/$scale}] $color" |
---|
1420 | } |
---|
1421 | puts $fp "frame" |
---|
1422 | set range {} |
---|
1423 | lappend range -0.01 [expr 0.01+(0.1*$a/$scale)] \ |
---|
1424 | -0.01 [expr 0.01+(0.1*$a/$scale)] \ |
---|
1425 | -0.01 [expr 0.01+(0.1*$a/$scale)] |
---|
1426 | puts $fp "cell $a $a $a 90 90 90" |
---|
1427 | puts $fp "spgr P 1" |
---|
1428 | puts $fp "pack $range" |
---|
1429 | puts $fp "atom o 1 0 0 0" |
---|
1430 | puts $fp "atom o 2 [expr {0.1*$a/$scale}] 0 0" |
---|
1431 | puts $fp "atom o 3 0 [expr {0.1*$a/$scale}] 0" |
---|
1432 | puts $fp "atom o 4 0 0 [expr {0.1*$a/$scale}]" |
---|
1433 | puts $fp "bond o o [expr {0.01*$a/$scale}] [expr {-0.1 + $a/$scale}] [expr {0.1 + $a/$scale}] Black" |
---|
1434 | puts $fp "sphere o [expr {0.02*$a/$scale}] Blue" |
---|
1435 | puts $fp "origin .0 .0 .0" |
---|
1436 | puts $fp "end" |
---|
1437 | close $fp |
---|
1438 | } |
---|
1439 | |
---|
1440 | # PlotRBtype: plot a rigid body in DRAWxtl |
---|
1441 | # input: |
---|
1442 | # rbtype: # of rigid body |
---|
1443 | # bondlist: list of bonds to draw as min, max length (A) and |
---|
1444 | # an optional color; for example: {{1.4 1.6} {1.2 1.3 Red}} |
---|
1445 | # file: file name for the .str file to create |
---|
1446 | proc PlotRBtype {rbtype "bondlist {}" "file {}"} { |
---|
1447 | set app [GetDRAWxtlApp] |
---|
1448 | if {$app == ""} { |
---|
1449 | MyMessageBox -parent . -title "No DRAWxtl" \ |
---|
1450 | -message "Sorry, DRAWxtl is not installed no phases are present to write" \ |
---|
1451 | -icon warning |
---|
1452 | return |
---|
1453 | } |
---|
1454 | if {$::tcl_platform(platform) == "windows" && $file == ""} { |
---|
1455 | set file [file join [pwd] rbplot.str] |
---|
1456 | } else { |
---|
1457 | set file "/tmp/rbplot.str" |
---|
1458 | } |
---|
1459 | set coords [RB2cart [lindex [ReadRigidBody $rbtype] 1]] |
---|
1460 | DRAWxtlPlotOrtho $file "" $coords $bondlist |
---|
1461 | if {$app != ""} {exec $app $file &} |
---|
1462 | } |
---|
1463 | |
---|
1464 | # PlotRBcoords: plot orthogonal coordinates in DRAWxtl |
---|
1465 | # input: |
---|
1466 | # coords: cartesian coordinates |
---|
1467 | # bondlist: list of bonds to draw as min, max length (A) and |
---|
1468 | # an optional color; for example: {{1.4 1.6} {1.2 1.3 Red}} |
---|
1469 | # file: file name for the .str file to create |
---|
1470 | proc PlotRBcoords {coords "bondlist {}" "file {}"} { |
---|
1471 | set app [GetDRAWxtlApp] |
---|
1472 | if {$app == ""} { |
---|
1473 | MyMessageBox -parent . -title "No DRAWxtl" \ |
---|
1474 | -message "Sorry, DRAWxtl is not installed no phases are present to write" \ |
---|
1475 | -icon warning |
---|
1476 | return |
---|
1477 | } |
---|
1478 | if {$::tcl_platform(platform) == "windows" && $file == ""} { |
---|
1479 | set file [file join [pwd] rbplot.str] |
---|
1480 | } else { |
---|
1481 | set file "/tmp/rbplot.str" |
---|
1482 | } |
---|
1483 | DRAWxtlPlotOrtho $file "" $coords $bondlist |
---|
1484 | if {$app != ""} {exec $app $file &} |
---|
1485 | } |
---|
1486 | |
---|
1487 | # DRAWxtlPlotRBFit: plot a set of fraction coordinates superimposed |
---|
1488 | # on a structure read from a phase |
---|
1489 | # input: |
---|
1490 | # RBcoords: fractional coordinates for rigid body |
---|
1491 | # phase:# of phase to plot |
---|
1492 | # firstatom: seq # of 1st atom in structure to be mapped to rigid body |
---|
1493 | # allatoms: 0 to plot only atoms in phase that are in the rigid body, |
---|
1494 | # otherwise plot all atoms |
---|
1495 | # bondlist: list of bonds to draw for the phase as min, max length (A) and |
---|
1496 | # an optional color; for example: {{1.4 1.6} {1.2 1.3 Red}} |
---|
1497 | # rbbondlist: list of bonds to draw for the phase as min, max length (A) and |
---|
1498 | # an optional color; for example: {{1.4 1.6} {1.2 1.3 Red}} |
---|
1499 | # file: optional file name for the .str file to create |
---|
1500 | proc DRAWxtlPlotRBFit {RBcoords phase firstatom "allatoms 0" \ |
---|
1501 | "bondlist {}" "rbbondlist {}" "file {}"} { |
---|
1502 | set natom [llength $RBcoords] |
---|
1503 | set app [GetDRAWxtlApp] |
---|
1504 | if {$app == ""} { |
---|
1505 | MyMessageBox -parent . -title "No DRAWxtl" \ |
---|
1506 | -message "Sorry, DRAWxtl is not installed no phases are present to write" \ |
---|
1507 | -icon warning |
---|
1508 | return |
---|
1509 | } |
---|
1510 | if {$::tcl_platform(platform) == "windows" && $file == ""} { |
---|
1511 | set file [file join [pwd] rbplot.str] |
---|
1512 | } else { |
---|
1513 | set file "/tmp/rbfit.str" |
---|
1514 | } |
---|
1515 | |
---|
1516 | # get rigid body coordinate range |
---|
1517 | foreach {xmin ymin zmin} {"" "" ""} {} |
---|
1518 | foreach {xmax ymax zmax} {"" "" ""} {} |
---|
1519 | foreach xyz $RBcoords { |
---|
1520 | foreach {x y z} $xyz {} |
---|
1521 | foreach s {x y z} { |
---|
1522 | foreach t {min max} { |
---|
1523 | if {[set ${s}${t}] == ""} {set ${s}${t} [set $s]} |
---|
1524 | } |
---|
1525 | if {[set ${s}min] > [set $s]} {set ${s}min [set $s]} |
---|
1526 | if {[set ${s}max] < [set $s]} {set ${s}max [set $s]} |
---|
1527 | } |
---|
1528 | } |
---|
1529 | set rbrange {} |
---|
1530 | foreach val [list [expr -0.01+$xmin] [expr 0.01+$xmax] \ |
---|
1531 | [expr -0.01+$ymin] [expr 0.01+$ymax] \ |
---|
1532 | [expr -0.01+$zmin] [expr 0.01+$zmax] ] { |
---|
1533 | append rbrange [format " %8.4f" $val] |
---|
1534 | } |
---|
1535 | set rbcenter [list [expr {($xmin+$xmax)/2}] \ |
---|
1536 | [expr {($ymin+$ymax)/2}] \ |
---|
1537 | [expr {($zmin+$zmax)/2}] ] |
---|
1538 | # get matching atoms coordinate range |
---|
1539 | set firstind [lsearch $::expmap(atomlist_$phase) $firstatom] |
---|
1540 | foreach atom [lrange \ |
---|
1541 | [lrange $::expmap(atomlist_$phase) $firstind end] \ |
---|
1542 | 0 [expr {$natom-1}]] { |
---|
1543 | foreach s {x y z} { |
---|
1544 | set $s [atominfo $phase $atom $s] |
---|
1545 | foreach t {min max} { |
---|
1546 | if {[set ${s}${t}] == ""} {set ${s}${t} [set $s]} |
---|
1547 | } |
---|
1548 | if {[set ${s}min] > [set $s]} {set ${s}min [set $s]} |
---|
1549 | if {[set ${s}max] < [set $s]} {set ${s}max [set $s]} |
---|
1550 | } |
---|
1551 | } |
---|
1552 | # expand to cover at least one unit cell |
---|
1553 | foreach var {xmin ymin zmin} { |
---|
1554 | if {[set $var] > 0.0} {set $var 0.0} |
---|
1555 | } |
---|
1556 | foreach var {xmax ymax zmax} { |
---|
1557 | if {[set $var] < 1.} {set $var 1.} |
---|
1558 | } |
---|
1559 | set range {} |
---|
1560 | foreach val [list [expr -0.01+$xmin] [expr 0.01+$xmax] \ |
---|
1561 | [expr -0.01+$ymin] [expr 0.01+$ymax] \ |
---|
1562 | [expr -0.01+$zmin] [expr 0.01+$zmax]] { |
---|
1563 | append range [format " %8.4f" $val] |
---|
1564 | } |
---|
1565 | |
---|
1566 | set fp [open $file w] |
---|
1567 | puts $fp "title structure/rigid-body fit plot" |
---|
1568 | # plot the structure |
---|
1569 | puts -nonewline $fp "cell" |
---|
1570 | foreach p {a b c alpha beta gamma} { |
---|
1571 | puts -nonewline $fp " [phaseinfo $phase $p]" |
---|
1572 | } |
---|
1573 | puts $fp "" |
---|
1574 | puts $fp "spgp [phaseinfo $phase spacegroup]" |
---|
1575 | puts $fp "pack $range" |
---|
1576 | if {$allatoms != 0} { |
---|
1577 | set atoms $::expmap(atomlist_$phase) |
---|
1578 | } else { |
---|
1579 | set firstind [lsearch $::expmap(atomlist_$phase) $firstatom] |
---|
1580 | set atoms [lrange \ |
---|
1581 | [lrange $::expmap(atomlist_$phase) $firstind end] \ |
---|
1582 | 0 [expr {$natom-1}]] |
---|
1583 | } |
---|
1584 | |
---|
1585 | # set origin at center of rigid body |
---|
1586 | puts $fp "origin $rbcenter" |
---|
1587 | # now loop over atoms |
---|
1588 | foreach atom $atoms { |
---|
1589 | set type [atominfo $phase $atom type] |
---|
1590 | set typelist($type) 1 |
---|
1591 | puts -nonewline $fp "atom $type $atom " |
---|
1592 | foreach v {x y z} { |
---|
1593 | puts -nonewline $fp "[atominfo $phase $atom $v] " |
---|
1594 | } |
---|
1595 | puts $fp "" |
---|
1596 | |
---|
1597 | set uiso [atominfo $phase $atom Uiso] |
---|
1598 | # are there anisotropic atoms? If so convert them to Uequiv |
---|
1599 | if {[atominfo $phase $atom temptype] == "A"} { |
---|
1600 | puts -nonewline $fp "Uij [atominfo $phase $atom type] $atom " |
---|
1601 | foreach v {U11 U22 U33 U12 U13 U23} { |
---|
1602 | puts -nonewline $fp "[atominfo $phase $atom $v] " |
---|
1603 | } |
---|
1604 | puts $fp "" |
---|
1605 | } |
---|
1606 | } |
---|
1607 | foreach type [array names typelist] color {Green Blue Magenta Cyan} { |
---|
1608 | if {$type == ""} break |
---|
1609 | puts $fp "sphere $type 0.1 $color" |
---|
1610 | } |
---|
1611 | foreach type [array names typelist] color1 {Green Blue Magenta Cyan} { |
---|
1612 | foreach bondpair $bondlist { |
---|
1613 | foreach {b1 b2 color} $bondpair {} |
---|
1614 | if {$color == ""} {set color $color1} |
---|
1615 | puts $fp "bond $type $type 0.02 $b1 $b2 $color" |
---|
1616 | } |
---|
1617 | foreach type1 [array names typelist] { |
---|
1618 | if {$type1 == $type} break |
---|
1619 | foreach bondpair $bondlist { |
---|
1620 | foreach {b1 b2 color} $bondpair {} |
---|
1621 | if {$color == ""} {set color $color1} |
---|
1622 | puts $fp "bond $type $type1 0.02 $b1 $b2 $color" |
---|
1623 | } |
---|
1624 | } |
---|
1625 | } |
---|
1626 | # plot the rigid body |
---|
1627 | puts $fp "frame" |
---|
1628 | puts -nonewline $fp "cell" |
---|
1629 | foreach p {a b c alpha beta gamma} { |
---|
1630 | puts -nonewline $fp " [phaseinfo $phase $p]" |
---|
1631 | } |
---|
1632 | puts $fp "" |
---|
1633 | puts $fp "background White" |
---|
1634 | puts $fp "nolabels" |
---|
1635 | puts $fp "spgr P 1" |
---|
1636 | puts $fp "pack $rbrange" |
---|
1637 | set i 0 |
---|
1638 | foreach xyz $RBcoords { |
---|
1639 | foreach {x y z} $xyz {} |
---|
1640 | incr i |
---|
1641 | puts $fp "atom c $i $x $y $z" |
---|
1642 | } |
---|
1643 | foreach bondpair $rbbondlist { |
---|
1644 | foreach {b1 b2 color} $bondpair {} |
---|
1645 | if {$color == ""} {set color Red} |
---|
1646 | puts $fp "bond c c 0.02 $b1 $b2 $color" |
---|
1647 | } |
---|
1648 | |
---|
1649 | puts $fp "sphere c 0.05 Red" |
---|
1650 | puts $fp "finish 0.70 0.30 0.08 0.01" |
---|
1651 | puts $fp "end" |
---|
1652 | |
---|
1653 | #puts $fp "bond o o [expr {0.01*$a/$scale}] [expr {-0.1 + $a/$scale}] [expr {0.1 + $a/$scale}] Black" |
---|
1654 | close $fp |
---|
1655 | if {$app != ""} {exec $app $file &} |
---|
1656 | } |
---|
1657 | |
---|
1658 | |
---|
1659 | #AddRigidBody {1} { {{0 0 0 xe} {1 1 1 o} {2 2 2 si+4}} } |
---|
1660 | #puts [GetRB 1 6 8 "1 2" "X 1 2" "Y 1 3"] |
---|
1661 | #puts [GetRB 1 4 8 "1" "X 1 2" "Z 3 4"] |
---|
1662 | #MapRigidBody 1 1 7 ".11 .22 .33" "11 12 13" |
---|
1663 | |
---|
1664 | |
---|
1665 | #AddRigidBody {1} { { |
---|
1666 | # {1 1 1 o} {-1 1 1 o} {1 -1 1 o} {-1 -1 1 o} |
---|
1667 | # {1 1 -1 o} {-1 1 -1 o} {1 -1 -1 o} {-1 -1 -1 o} |
---|
1668 | #} } |
---|
1669 | #set n [MapRigidBody 1 1 1 ".2 .3 .4" "13 17 19"] |
---|
1670 | #puts "body $n created" |
---|
1671 | #incr expgui(changed) |
---|
1672 | #RunRecalcRBCoords |
---|
1673 | #puts "press Enter to continue" |
---|
1674 | #gets stdin line |
---|
1675 | #MapRigidBody 1 1 $n ".5 .5 .5" "0 0 0" |
---|
1676 | #incr expgui(changed) |
---|
1677 | #RunRecalcRBCoords |
---|
1678 | |
---|
1679 | #puts "Test FitBody" |
---|
1680 | set fraclist { |
---|
1681 | { 0.5483305238484277 0.4887545024531055 0.6167996784631056 } |
---|
1682 | { 0.1036801409356145 0.5954016321779562 0.5129448102437683 } |
---|
1683 | { 0.26404665760133855 0.09455414439078394 0.612655365147539 } |
---|
1684 | { -0.18060372531147473 0.20120127411563465 0.5088004969282018 } |
---|
1685 | { 0.5806037253114747 0.3987987258843653 0.2911995030717982 } |
---|
1686 | { 0.13595334239866147 0.5054458556092161 0.18734463485246095 } |
---|
1687 | { 0.2963198590643855 0.004598367822043814 0.2870551897562318 } |
---|
1688 | { -0.1483305238484277 0.1112454975468945 0.1832003215368945 } |
---|
1689 | } |
---|
1690 | set ortholist { |
---|
1691 | {1 1 1} |
---|
1692 | {-1 1 1} |
---|
1693 | { 1.000000 -1.000000 1.000000} |
---|
1694 | { -1.000000 -1.000000 1.000000} |
---|
1695 | { 1.000000 1.000000 -1.000000} |
---|
1696 | { -1.000000 1.000000 -1.000000} |
---|
1697 | { 1.000000 -1.000000 -1.000000} |
---|
1698 | { -1.000000 -1.000000 -1.000000} |
---|
1699 | } |
---|
1700 | # test code, generates DRAWxtl imput file from orthogonal coordinate list |
---|
1701 | # with bonds of ~2, 2.8 and 3.4 A |
---|
1702 | #DRAWxtlPlotOrtho test4.str "test file" $ortholist {{1.9 2.1} {3.4 3.5 Blue} {2.8 2.83 Green} } |
---|
1703 | |
---|
1704 | # test code, plots rigid body type #2 with bonds drawn at ~1.3 & 2 A |
---|
1705 | #PlotRBtype 2 {{1.9 2.1} {1.28 1.32}} |
---|
1706 | |
---|
1707 | # test code, plots rigid body coords in ortholist with bonds @ ~2, 2.8 and 3.4 A |
---|
1708 | #PlotRBcoords $ortholist {{1.9 2.1} {3.4 3.5 Blue} {2.8 2.83 Green} } |
---|
1709 | |
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1710 | |
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1711 | set useflag {1 1 1 1 1 1 1 1} |
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1712 | set cell {4. 5. 6. 95. 100. 105.} |
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1713 | #set origin ".20 .30 .40" |
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1714 | set origin ".0 .0 .0" |
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1715 | #set Euler {{1 13} {2 17} {3 19}} |
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1716 | #set Euler {{1 0} {2 180} {3 0}} |
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1717 | set Euler {{1 0} {2 0} {3 0}} |
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1718 | |
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1719 | #puts [La::show $xform] |
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1720 | #puts "out: [FitBody $Euler $cell $ortholist $useflag $fraclist $origin 30]" |
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1721 | |
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1722 | |
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1723 | # test zmat2coord |
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1724 | set atmlist { |
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1725 | {C1 0 0.0 0 0.0 0 0.0} |
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1726 | {O2 1 1.20 0 0.0 0 0.0} |
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1727 | {H3 1 1.10 2 120.0 0 0.0} |
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1728 | {C4 1 1.50 2 120.0 3 180.0} |
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1729 | {H5 4 1.10 1 110.0 2 0.00} |
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1730 | {H6 4 1.10 1 110.0 2 120.0} |
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1731 | {H7 4 1.10 1 110.0 2 -120.0} |
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1732 | } |
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1733 | # C 0.00000 0.00000 0.00000 |
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1734 | # O 1.20000 0.00000 0.00000 |
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1735 | # H -0.55000 0.95263 0.00000 |
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1736 | # C -0.75000 -1.29904 -0.00000 |
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1737 | # H -0.04293 -2.14169 -0.00000 |
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1738 | # H -1.38570 -1.36644 0.89518 |
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1739 | # H -1.38570 -1.36644 -0.89518 |
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1740 | # set coordlist [zmat2coord $atmlist] |
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1741 | set i 0 |
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1742 | # puts "\nZmatrix in" |
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1743 | # foreach line $atmlist { |
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1744 | # incr i |
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1745 | # puts "$i) $line" |
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1746 | # } |
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1747 | # puts "Cartesian out" |
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1748 | # foreach line $coordlist { |
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1749 | # puts [eval format "%-4s%10.5f%10.5f%10.5f" $line] |
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1750 | # } |
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1751 | |
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1752 | # AddRigidBody {1 0.75} { |
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1753 | # { |
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1754 | # {1 1 1 c} |
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1755 | # {-1 1 1 c} |
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1756 | # { 1.000000 -1.000000 1.000000 c} |
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1757 | # { -1.000000 -1.000000 1.000000 c} |
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1758 | # { 1.000000 1.000000 -1.000000 c} |
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1759 | # { -1.000000 1.000000 -1.000000 c} |
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1760 | # { 1.000000 -1.000000 -1.000000 c} |
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1761 | # { -1.000000 -1.000000 -1.000000 c} |
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1762 | # {1 1 1 h} |
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1763 | # {1 -1 -1 h} |
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1764 | # {-1 1 -1 h} |
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1765 | # {-1 -1 1 h} |
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1766 | # } { |
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1767 | # {0 0 0 c } |
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1768 | # {0 0 0 c} |
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1769 | # {0 0 0 c} |
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1770 | # {0 0 0 c} |
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1771 | # {0 0 0 c} |
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1772 | # {0 0 0 c} |
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1773 | # {0 0 0 c} |
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1774 | # {0 0 0 c} |
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1775 | # {1 1 1 h} |
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1776 | # {1 -1 -1 h} |
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1777 | # {-1 1 -1 h} |
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1778 | # {-1 -1 1 h} |
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1779 | # } |
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1780 | # } |
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1781 | # MapRigidBody 2 2 1 {0 0 0} {10 15 20} |
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