[430] | 1 | !The Full Polymorphic Package |
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| 2 | !Copyright (C) Etienne Forest |
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| 3 | |
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| 4 | module tree_element_MODULE |
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| 5 | USE polymorphic_complextaylor, mon1=>mon |
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| 6 | IMPLICIT NONE |
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| 7 | public |
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| 8 | integer,private,parameter::ndd=6 |
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| 9 | |
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| 10 | PRIVATE track_TREE,track_TREEP,KILL_TREE,KILL_TREE_N,SET_TREE |
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| 11 | PRIVATE track_TREE_G,track_TREEP_g |
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| 12 | PRIVATE ALLOC_SPINOR_8,ALLOC_probe_8 |
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| 13 | PRIVATE KILL_SPINOR_8,KILL_probe_8,KILL_DASPIN |
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| 14 | PRIVATE EQUAL_SPINOR8_SPINOR8,EQUAL_IDENTITY_SPINOR_8 !,EQUAL_SPINOR8_RAY8,EQUAL_RAY8_SPINOR8, |
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| 15 | PRIVATE EQUAL_IDENTITY_probe_8,ALLOC_daspin,EQUAL_DAMAPSPIN_RAY8 ,EQUAL_RAY8_DAMAPSPIN |
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| 16 | private alloc_normal_spin,kill_normal_spin,EQUAL_IDENTITY_probe |
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| 17 | private READ_DASPIN,PRINT_DASPIN,EQUAL_IDENTITY_SPINOR,EQUAL_PROBE_REAL6 |
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| 18 | PRIVATE EQUAL_SPINOR8_SPINOR,EQUAL_PROBE8_PROBE,EQUAL_PROBE8_REAL6 |
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| 19 | private EQUAL_IDENTITY_SPINOR_8_r3 ,EQUAL_SPINOR_SPINOR8,exp_spinor_8 |
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| 20 | private INTO_RES_SPIN8_eq,INTO_SPIN8_from_RES_eq,ALLOC_rf_phasor_8,KILL_rf_phasor_8 |
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| 21 | |
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| 22 | private find_ar |
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| 23 | private find_ap,PRINT_spinor_8,dot_spinor_8,dot_spinor,print_res_spinor_8 |
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| 24 | private find_n_thetar,find_n_thetap,read_spinor_8 |
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| 25 | ! private smatp,smatmulp |
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| 26 | private inv_asr,inv_asp !,inv_as |
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| 27 | PRIVATE EQUAL_DAmapSPIN_int,daddsc,scdadd,EQUAL_PROBE8_PROBE8,PRINT_probe8 |
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| 28 | PRIVATE concat,assmap,EQUAL_damapspin,CUTORDER,assprobe_8,POWMAP,cmul,addm,mmul,spin8_mul_map |
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| 29 | private read_probe8,ALLOC_33t,ALLOC_33p,KILL_33t,KILL_33p,zero_33t |
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| 30 | private purge_transverse |
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| 31 | private get_spin_nx_r,get_spin_nx_t,get_spin_nx_rd,get_spin_nx_probe,get_spin_nx_spinor_8 |
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| 32 | private scdaddo,daddsco,damapspin_spinor8_mul,damapspin_spinor_mul,eval_spinor_8 |
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| 33 | private real_8REAL6,REAL6real_8,real_8REAL_8,PRINT6 |
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| 34 | private check_fix,test_jc,A_OPT_damap,K_OPT_damap,factor_am,factor_as,concatxp |
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| 35 | private find_axisp,spin8_scal8_map,add_spin8_spin8,sub_spin8_spin8,mul_spin8_spin8 |
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| 36 | private find_perp_basisp,find_exponentp |
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| 37 | private alloc_res_SPINOR_8,KILL_res_SPINOR_8,full_abst,EQUAL_RF8_RF8,extract_envelope_probe8 |
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| 38 | PRIVATE EQUAL_RF8_RF,EQUAL_RF_RF8,print_rf_phasor_8,concat_envelope,extract_envelope_damap |
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| 39 | private EQUAL_DAMAP_RAY8,spimat_spinmat,EQUAL_damapspin_smat,EQUAL_smat_damapspin |
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| 40 | private flip,dlie,dphase,phase_shift ! flip in lielib |
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| 41 | integer, target :: spin_extra_tpsa = 0 ,n0_normal= 2 |
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| 42 | integer :: clockwise=1 |
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| 43 | logical(lp) :: force_positive=.false. |
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| 44 | logical(lp) :: use_ptc_ac_position=.false. |
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| 45 | integer, private :: nd_used,i_phase,i_plane, decal |
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| 46 | logical :: onelie = my_false |
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| 47 | logical :: firstfac=.true. |
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| 48 | integer, private, parameter :: nfac=20 |
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| 49 | real(dp), private :: fac(0:nfac) |
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| 50 | |
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| 51 | INTERFACE assignment (=) |
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| 52 | ! |
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| 53 | MODULE PROCEDURE REAL_8REAL6 |
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| 54 | MODULE PROCEDURE REAL6REAL_8 |
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| 55 | MODULE PROCEDURE real_8REAL_8 |
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| 56 | module PROCEDURE spimat_spinmat |
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| 57 | ! |
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| 58 | MODULE PROCEDURE EQUAL_IDENTITY_probe ! probe_8=0 p%s=Id p%x=x_i (tpsa) i=1,npara_fpp |
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| 59 | MODULE PROCEDURE EQUAL_IDENTITY_probe_8 ! probe=0 p%s=Id p%x=0.d0 |
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| 60 | MODULE PROCEDURE EQUAL_IDENTITY_SPINOR_8 ! SPINOR_8%x(r)=1 if SPINOR_8=r otherwise zero |
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| 61 | MODULE PROCEDURE EQUAL_IDENTITY_SPINOR ! spinor%x(r)=1 if spinor=r otherwise zero |
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| 62 | MODULE PROCEDURE EQUAL_PROBE_REAL6 |
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| 63 | MODULE PROCEDURE EQUAL_PROBE8_REAL6 |
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| 64 | MODULE PROCEDURE EQUAL_PROBE8_PROBE |
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| 65 | |
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| 66 | MODULE PROCEDURE EQUAL_SPINOR8_SPINOR8 |
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| 67 | MODULE PROCEDURE EQUAL_SPINOR8_SPINOR |
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| 68 | MODULE PROCEDURE EQUAL_DAMAPSPIN_RAY8 |
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| 69 | MODULE PROCEDURE EQUAL_RAY8_DAMAPSPIN |
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| 70 | MODULE PROCEDURE EQUAL_DAMAP_RAY8 |
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| 71 | |
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| 72 | MODULE PROCEDURE EQUAL_DAmapSPIN_int ! damapspin = Identity (or zero) |
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| 73 | MODULE PROCEDURE EQUAL_PROBE8_PROBE8 |
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| 74 | MODULE PROCEDURE EQUAL_damapspin ! damapspin <= real spin matrix |
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| 75 | MODULE PROCEDURE EQUAL_damapspin_smat ! damapspin => real spin matrix |
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| 76 | MODULE PROCEDURE EQUAL_smat_damapspin |
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| 77 | MODULE PROCEDURE EQUAL_SPINOR_SPINOR8 |
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| 78 | MODULE PROCEDURE EQUAL_PROBE_PROBE8 |
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| 79 | MODULE PROCEDURE normalise_spin |
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| 80 | MODULE PROCEDURE INTO_RES_SPIN8_eq ! |
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| 81 | MODULE PROCEDURE INTO_SPIN8_from_RES_eq |
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| 82 | MODULE PROCEDURE EQUAL_RF8_RF8 |
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| 83 | MODULE PROCEDURE EQUAL_RF8_RF |
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| 84 | MODULE PROCEDURE EQUAL_RF_RF8 |
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| 85 | ! MODULE PROCEDURE EQUAL_nn_damap |
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| 86 | end INTERFACE |
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| 87 | |
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| 88 | INTERFACE OPERATOR (*) |
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| 89 | MODULE PROCEDURE concat ! damapspin= damapspin o damapspin |
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| 90 | MODULE PROCEDURE cmul ! damapspin%s= real(dp) * damapspin%s orbital unchanged |
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| 91 | MODULE PROCEDURE mmul ! damapspin%s=damapspin%s o damap |
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| 92 | MODULE PROCEDURE damapspin_spinor_mul ! spinor_8%s(i)= damapspin%s(i,j) * spinor%s(j) |
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| 93 | MODULE PROCEDURE damapspin_spinor8_mul ! spinor_8%s(i)= damapspin%s(i,j) * spinor_8%s(j) |
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| 94 | MODULE PROCEDURE spin8_mul_map ! spinor_8=spinor_8 o damap |
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| 95 | MODULE PROCEDURE eval_spinor_8 ! spinor=spinor_8 * xp(lnv) |
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| 96 | MODULE PROCEDURE concatxp ! damapspin=damapspin*xp(lnv) |
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| 97 | MODULE PROCEDURE spin8_scal8_map ! real_8*spinor_8 |
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| 98 | MODULE PROCEDURE mul_spin8_spin8 ! mul_spin8_spin8= spin8 X spin8 cross product |
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| 99 | END INTERFACE |
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| 100 | |
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| 101 | INTERFACE OPERATOR (**) |
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| 102 | MODULE PROCEDURE POWMAP |
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| 103 | END INTERFACE |
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| 104 | |
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| 105 | INTERFACE OPERATOR (.cut.) |
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| 106 | MODULE PROCEDURE CUTORDER |
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| 107 | END INTERFACE |
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| 108 | |
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| 109 | INTERFACE OPERATOR (.dot.) |
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| 110 | MODULE PROCEDURE dot_spinor |
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| 111 | MODULE PROCEDURE dot_spinor_8 |
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| 112 | END INTERFACE |
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| 113 | |
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| 114 | INTERFACE operator (+) |
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| 115 | MODULE PROCEDURE scdadd |
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| 116 | MODULE PROCEDURE daddsc |
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| 117 | MODULE PROCEDURE scdaddo |
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| 118 | MODULE PROCEDURE daddsco |
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| 119 | MODULE PROCEDURE addm ! (damapspin1%m, damapspin1%s + damapspin2%s) |
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| 120 | MODULE PROCEDURE add_spin8_spin8 ! spinor_8 = spinor_8 + spinor_8 |
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| 121 | END INTERFACE |
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| 122 | |
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| 123 | INTERFACE operator (-) |
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| 124 | MODULE PROCEDURE sub_spin8_spin8 |
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| 125 | END INTERFACE |
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| 126 | |
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| 127 | INTERFACE extract_beam_sizes ! |
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| 128 | MODULE PROCEDURE extract_envelope_damap ! |
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| 129 | MODULE PROCEDURE extract_envelope_probe8 ! |
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| 130 | END INTERFACE |
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| 131 | |
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| 132 | INTERFACE exp ! damapspin = exp(spinor_8) |
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| 133 | MODULE PROCEDURE exp_spinor_8 ! |
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| 134 | END INTERFACE |
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| 135 | |
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| 136 | INTERFACE texp ! damapspin = exp(spinor_8) |
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| 137 | MODULE PROCEDURE exp_spinor_8 ! |
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| 138 | END INTERFACE |
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| 139 | |
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| 140 | INTERFACE find_n0 ! (s0(3,3),n0(3)) |
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| 141 | MODULE PROCEDURE find_n_thetar ! finds n0 the naive way |
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| 142 | MODULE PROCEDURE find_n_thetap !(s0(3,3),n0(3), spinor_8 optional) |
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| 143 | END INTERFACE |
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| 144 | |
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| 145 | INTERFACE find_axis ! (ds,spinor_8) |
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| 146 | MODULE PROCEDURE find_axisp ! s= exp(spinor_8.dot.L) |
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| 147 | END INTERFACE |
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| 148 | |
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| 149 | INTERFACE find_perp_basis ! |
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| 150 | MODULE PROCEDURE find_perp_basisp ! |
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| 151 | END INTERFACE |
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| 152 | |
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| 153 | INTERFACE find_exponent ! |
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| 154 | MODULE PROCEDURE find_exponentp ! |
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| 155 | END INTERFACE |
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| 156 | |
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| 157 | INTERFACE find_a ! (n(3),a(3,3)) if you have n you get a(3,3) |
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| 158 | MODULE PROCEDURE find_ar ! such that ai.s.a = exp(theta L_y) |
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| 159 | MODULE PROCEDURE find_ap |
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| 160 | END INTERFACE |
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| 161 | |
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| 162 | INTERFACE inv_as ! gets inverse of spin matrix by transposing |
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| 163 | MODULE PROCEDURE inv_asr |
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| 164 | MODULE PROCEDURE inv_asp |
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| 165 | END INTERFACE |
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| 166 | |
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| 167 | INTERFACE get_spin_n0 ! (S,theta0,n0) |
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| 168 | MODULE PROCEDURE get_spin_nx_r ! real s(3,3) = exp(theta0 n0.L) |
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| 169 | MODULE PROCEDURE get_spin_nx_rd ! takes DS (damapspin but returns real) |
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| 170 | MODULE PROCEDURE get_spin_nx_t ! takes DS (damapspin but returns real_8) |
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| 171 | MODULE PROCEDURE get_spin_nx_probe ! takes probe (damapspin but returns real) |
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| 172 | MODULE PROCEDURE get_spin_nx_spinor_8 |
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| 173 | END INTERFACE |
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| 174 | |
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| 175 | INTERFACE find_exponent_jet ! |
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| 176 | MODULE PROCEDURE find_exponent_jet_p |
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| 177 | end interface |
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| 178 | |
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| 179 | INTERFACE full_abs ! |
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| 180 | MODULE PROCEDURE full_abst |
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| 181 | END INTERFACE ! |
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| 182 | |
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| 183 | |
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| 184 | |
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| 185 | INTERFACE PRINT |
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| 186 | MODULE PROCEDURE PRINT6 |
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| 187 | !!!! |
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| 188 | MODULE PROCEDURE PRINT_DASPIN |
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| 189 | MODULE PROCEDURE PRINT_probe8 |
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| 190 | MODULE PROCEDURE PRINT_spinor_8 |
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| 191 | MODULE PROCEDURE print_res_spinor_8 |
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| 192 | MODULE PROCEDURE print_rf_phasor_8 |
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| 193 | END INTERFACE |
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| 194 | |
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| 195 | INTERFACE daPRINT |
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| 196 | MODULE PROCEDURE PRINT6 |
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| 197 | !!!! |
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| 198 | END INTERFACE |
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| 199 | |
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| 200 | INTERFACE READ |
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| 201 | MODULE PROCEDURE READ_DASPIN |
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| 202 | MODULE PROCEDURE read_probe8 ! a bit illegal : reading polymorphs as taylor... |
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| 203 | MODULE PROCEDURE read_spinor_8 |
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| 204 | END INTERFACE |
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| 205 | |
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| 206 | INTERFACE ALLOC |
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| 207 | MODULE PROCEDURE ALLOC_SPINOR_8 |
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| 208 | MODULE PROCEDURE ALLOC_probe_8 |
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| 209 | MODULE PROCEDURE ALLOC_daspin |
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| 210 | MODULE PROCEDURE A_OPT_damap |
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| 211 | MODULE PROCEDURE alloc_normal_spin |
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| 212 | MODULE PROCEDURE alloc_res_SPINOR_8 |
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| 213 | MODULE PROCEDURE ALLOC_rf_phasor_8 |
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| 214 | MODULE PROCEDURE SET_TREE |
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| 215 | END INTERFACE |
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| 216 | |
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| 217 | INTERFACE KILL |
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| 218 | MODULE PROCEDURE KILL_SPINOR_8 |
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| 219 | MODULE PROCEDURE KILL_probe_8 |
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| 220 | MODULE PROCEDURE KILL_DASPIN |
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| 221 | MODULE PROCEDURE K_OPT_damap |
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| 222 | MODULE PROCEDURE KILL_normal_spin |
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| 223 | MODULE PROCEDURE KILL_res_SPINOR_8 |
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| 224 | MODULE PROCEDURE KILL_rf_phasor_8 |
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| 225 | END INTERFACE |
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| 226 | |
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| 227 | INTERFACE ALLOC_33 |
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| 228 | MODULE PROCEDURE ALLOC_33t |
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| 229 | MODULE PROCEDURE ALLOC_33p |
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| 230 | END INTERFACE |
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| 231 | |
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| 232 | INTERFACE ALLOC_nn |
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| 233 | MODULE PROCEDURE ALLOC_33t |
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| 234 | MODULE PROCEDURE ALLOC_33p |
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| 235 | END INTERFACE |
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| 236 | |
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| 237 | INTERFACE matmul_nn |
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| 238 | MODULE PROCEDURE matmul_33 |
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| 239 | END INTERFACE |
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| 240 | |
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| 241 | INTERFACE zero_33 |
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| 242 | MODULE PROCEDURE zero_33t |
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| 243 | MODULE PROCEDURE zero_33p |
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| 244 | END INTERFACE |
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| 245 | |
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| 246 | INTERFACE zero_nn |
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| 247 | MODULE PROCEDURE zero_33t |
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| 248 | MODULE PROCEDURE zero_33p |
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| 249 | END INTERFACE |
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| 250 | |
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| 251 | INTERFACE KILL_nn |
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| 252 | MODULE PROCEDURE KILL_33t |
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| 253 | MODULE PROCEDURE KILL_33p |
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| 254 | END INTERFACE |
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| 255 | |
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| 256 | INTERFACE KILL_33 |
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| 257 | MODULE PROCEDURE KILL_33t |
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| 258 | MODULE PROCEDURE KILL_33p |
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| 259 | END INTERFACE |
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| 260 | |
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| 261 | INTERFACE track |
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| 262 | MODULE PROCEDURE track_TREE |
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| 263 | MODULE PROCEDURE track_TREEP |
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| 264 | END INTERFACE |
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| 265 | |
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| 266 | |
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| 267 | INTERFACE trackg |
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| 268 | MODULE PROCEDURE track_TREE_G |
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| 269 | MODULE PROCEDURE track_TREEP_g |
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| 270 | END INTERFACE |
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| 271 | |
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| 272 | |
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| 273 | INTERFACE KILL |
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| 274 | MODULE PROCEDURE KILL_TREE |
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| 275 | MODULE PROCEDURE KILL_TREE_N |
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| 276 | MODULE PROCEDURE KILL_33t |
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| 277 | MODULE PROCEDURE KILL_33p |
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| 278 | END INTERFACE |
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| 279 | |
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| 280 | INTERFACE factor |
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| 281 | MODULE PROCEDURE factor_am |
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| 282 | MODULE PROCEDURE factor_as |
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| 283 | END INTERFACE |
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| 284 | |
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| 285 | INTERFACE ass |
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| 286 | MODULE PROCEDURE assmap |
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| 287 | MODULE PROCEDURE assprobe_8 |
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| 288 | END INTERFACE |
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| 289 | |
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| 290 | |
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| 291 | CONTAINS |
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| 292 | SUBROUTINE A_OPT_damap(S1,S2,s3,s4,s5,s6,s7,s8,s9,s10) |
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| 293 | implicit none |
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| 294 | type (damapspin),INTENT(INout)::S1,S2 |
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| 295 | type (damapspin),optional, INTENT(INout):: s3,s4,s5,s6,s7,s8,s9,s10 |
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| 296 | call alloc(s1) |
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| 297 | call alloc(s2) |
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| 298 | if(present(s3)) call alloc(s3) |
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| 299 | if(present(s4)) call alloc(s4) |
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| 300 | if(present(s5)) call alloc(s5) |
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| 301 | if(present(s6)) call alloc(s6) |
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| 302 | if(present(s7)) call alloc(s7) |
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| 303 | if(present(s8)) call alloc(s8) |
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| 304 | if(present(s9)) call alloc(s9) |
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| 305 | if(present(s10))call alloc(s10) |
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| 306 | END SUBROUTINE A_opt_damap |
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| 307 | |
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| 308 | SUBROUTINE K_OPT_damap(S1,S2,s3,s4,s5,s6,s7,s8,s9,s10) |
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| 309 | implicit none |
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| 310 | type (damapspin),INTENT(INout)::S1,S2 |
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| 311 | type (damapspin),optional, INTENT(INout):: s3,s4,s5,s6,s7,s8,s9,s10 |
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| 312 | call KILL(s1) |
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| 313 | call KILL(s2) |
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| 314 | if(present(s3)) call KILL(s3) |
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| 315 | if(present(s4)) call KILL(s4) |
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| 316 | if(present(s5)) call KILL(s5) |
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| 317 | if(present(s6)) call KILL(s6) |
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| 318 | if(present(s7)) call KILL(s7) |
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| 319 | if(present(s8)) call KILL(s8) |
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| 320 | if(present(s9)) call KILL(s9) |
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| 321 | if(present(s10))call KILL(s10) |
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| 322 | END SUBROUTINE K_OPT_damap |
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| 323 | |
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| 324 | !!! use to be in extend_poly |
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| 325 | |
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| 326 | FUNCTION daddsco( S1, S2 ) |
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| 327 | implicit none |
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| 328 | TYPE (real_8) daddsco(ndd) |
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| 329 | TYPE (damap), INTENT (IN) :: S1 |
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| 330 | real(dp) , INTENT (IN) :: S2(ndd) |
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| 331 | integer localmaster,iia(4),ico(4),nd2,i |
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| 332 | call liepeek(iia,ico) |
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| 333 | nd2=iia(4) |
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| 334 | |
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| 335 | |
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| 336 | do i=1,nd2 |
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| 337 | localmaster=master |
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| 338 | call ass(daddsco(i)) |
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| 339 | daddsco(i)=s1%v(i)+s2(i)-(s1%v(i).sub.'0') |
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| 340 | master=localmaster |
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| 341 | enddo |
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| 342 | do i=nd2+1,ndd |
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| 343 | localmaster=master |
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| 344 | call ass(daddsco(i)) |
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| 345 | if(nd2==4.and.(c_%npara==5.or.c_%npara==8).and.i==5) then |
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| 346 | daddsco(i)=s2(i)+(1.0_dp.mono.'00001') |
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| 347 | else |
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| 348 | daddsco(i)=s2(i) |
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| 349 | endif |
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| 350 | master=localmaster |
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| 351 | enddo |
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| 352 | |
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| 353 | END FUNCTION daddsco |
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| 354 | |
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| 355 | FUNCTION scdaddo( S2,S1 ) |
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| 356 | implicit none |
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| 357 | TYPE (real_8) scdaddo(ndd) |
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| 358 | TYPE (damap), INTENT (IN) :: S1 |
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| 359 | real(dp) , INTENT (IN) :: S2(ndd) |
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| 360 | integer localmaster,iia(4),ico(4),nd2,i |
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| 361 | call liepeek(iia,ico) |
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| 362 | nd2=iia(4) |
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| 363 | |
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| 364 | do i=1,nd2 |
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| 365 | localmaster=master |
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| 366 | call ass(scdaddo(i)) |
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| 367 | scdaddo(i)=s1%v(i)+s2(i)-(s1%v(i).sub.'0') |
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| 368 | master=localmaster |
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| 369 | enddo |
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| 370 | do i=nd2+1,ndd |
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| 371 | localmaster=master |
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| 372 | call ass(scdaddo(i)) |
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| 373 | if(nd2==4.and.(c_%npara==5.or.c_%npara==8).and.i==5) then |
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| 374 | scdaddo(i)=s2(i)+(1.0_dp.mono.'00001') |
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| 375 | else |
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| 376 | scdaddo(i)=s2(i) |
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| 377 | endif |
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| 378 | master=localmaster |
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| 379 | enddo |
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| 380 | |
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| 381 | |
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| 382 | END FUNCTION scdaddo |
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| 383 | |
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| 384 | SUBROUTINE REAL6real_8(S2,S1) |
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| 385 | implicit none |
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| 386 | real(dp),INTENT(inOUT)::S2(ndd) |
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| 387 | type (real_8),INTENT(IN)::S1(ndd) |
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| 388 | integer i |
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| 389 | |
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| 390 | |
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| 391 | do i=1,ndd |
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| 392 | s2(i)=s1(i) !%t |
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| 393 | enddo |
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| 394 | END SUBROUTINE REAL6real_8 |
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| 395 | |
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| 396 | SUBROUTINE real_8REAL_8(S1,S2) |
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| 397 | implicit none |
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| 398 | type (real_8),INTENT(in)::S2(ndd) |
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| 399 | type (real_8),INTENT(inOUT)::S1(ndd) |
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| 400 | integer i |
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| 401 | |
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| 402 | |
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| 403 | do i=1,ndd |
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| 404 | s1(i)=s2(i) |
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| 405 | enddo |
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| 406 | END SUBROUTINE real_8REAL_8 |
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| 407 | |
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| 408 | SUBROUTINE real_8REAL6(S1,S2) |
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| 409 | implicit none |
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| 410 | real(dp),INTENT(in)::S2(ndd) |
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| 411 | type (real_8),INTENT(inOUT)::S1(ndd) |
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| 412 | integer i |
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| 413 | |
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| 414 | |
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| 415 | do i=1,ndd |
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| 416 | s1(i)=s2(i) |
---|
| 417 | enddo |
---|
| 418 | END SUBROUTINE real_8REAL6 |
---|
| 419 | |
---|
| 420 | |
---|
| 421 | |
---|
| 422 | SUBROUTINE spimat_spinmat(S1,S2) |
---|
| 423 | implicit none |
---|
| 424 | type (spinmatrix),INTENT(in)::S2 |
---|
| 425 | type (spinmatrix),INTENT(inOUT)::S1 |
---|
| 426 | integer i,j |
---|
| 427 | |
---|
| 428 | do i=1,3 |
---|
| 429 | do j=1,3 |
---|
| 430 | s1%s(i,j)=s2%s(i,j) |
---|
| 431 | enddo |
---|
| 432 | enddo |
---|
| 433 | END SUBROUTINE spimat_spinmat |
---|
| 434 | |
---|
| 435 | SUBROUTINE print6(S1,mf) |
---|
| 436 | implicit none |
---|
| 437 | type (real_8),INTENT(INout)::S1(ndd) |
---|
| 438 | integer mf,i |
---|
| 439 | |
---|
| 440 | do i=1,ndd |
---|
| 441 | call print(s1(i),mf) |
---|
| 442 | enddo |
---|
| 443 | |
---|
| 444 | END SUBROUTINE print6 |
---|
| 445 | |
---|
| 446 | !!! end of "use to be in extend_poly" |
---|
| 447 | |
---|
| 448 | SUBROUTINE COPY_TREE(T,U) |
---|
| 449 | IMPLICIT NONE |
---|
| 450 | TYPE(TREE_ELEMENT), INTENT(IN) :: T |
---|
| 451 | TYPE(TREE_ELEMENT), INTENT(INOUT) :: U |
---|
| 452 | |
---|
| 453 | IF(.NOT.ASSOCIATED(T%CC).OR..NOT.ASSOCIATED(U%CC) ) RETURN |
---|
| 454 | IF(SIZE(T%CC)/=SIZE(U%CC) ) STOP 888 |
---|
| 455 | |
---|
| 456 | U%CC=T%CC |
---|
| 457 | U%JL=T%JL |
---|
| 458 | U%JV=T%JV |
---|
| 459 | U%N=T%N |
---|
| 460 | U%ND2=T%ND2 |
---|
| 461 | U%no=T%no |
---|
| 462 | |
---|
| 463 | END SUBROUTINE COPY_TREE |
---|
| 464 | |
---|
| 465 | SUBROUTINE COPY_TREE_N(T,U) |
---|
| 466 | IMPLICIT NONE |
---|
| 467 | TYPE(TREE_ELEMENT), INTENT(IN) :: T(:) |
---|
| 468 | TYPE(TREE_ELEMENT), INTENT(INOUT) :: U(:) |
---|
| 469 | INTEGER I |
---|
| 470 | |
---|
| 471 | DO I=1,SIZE(T) |
---|
| 472 | CALL COPY_TREE(T(I),U(I)) |
---|
| 473 | ENDDO |
---|
| 474 | |
---|
| 475 | END SUBROUTINE COPY_TREE_N |
---|
| 476 | |
---|
| 477 | |
---|
| 478 | |
---|
| 479 | SUBROUTINE NULL_TREE(T) |
---|
| 480 | IMPLICIT NONE |
---|
| 481 | TYPE(TREE_ELEMENT), INTENT(INOUT) :: T |
---|
| 482 | |
---|
| 483 | NULLIFY(T%CC,T%JL,T%JV,T%N,T%ND2,T%no) |
---|
| 484 | |
---|
| 485 | END SUBROUTINE NULL_TREE |
---|
| 486 | |
---|
| 487 | |
---|
| 488 | SUBROUTINE ALLOC_TREE(T,N,ND2) |
---|
| 489 | IMPLICIT NONE |
---|
| 490 | TYPE(TREE_ELEMENT), INTENT(INOUT) :: T |
---|
| 491 | INTEGER , INTENT(IN) :: N,ND2 |
---|
| 492 | |
---|
| 493 | !IF(N==0) RETURN |
---|
| 494 | |
---|
| 495 | ALLOCATE(T%CC(N),T%fix(nd2),T%JL(N),T%JV(N),T%N,T%ND2,T%no) |
---|
| 496 | T%N=N |
---|
| 497 | T%ND2=ND2 |
---|
| 498 | T%no=0 |
---|
| 499 | T%fix=0.0_dp |
---|
| 500 | END SUBROUTINE ALLOC_TREE |
---|
| 501 | |
---|
| 502 | SUBROUTINE SET_TREE(T,MA) |
---|
| 503 | IMPLICIT NONE |
---|
| 504 | TYPE(TREE_ELEMENT), INTENT(INOUT) :: T |
---|
| 505 | TYPE(DAMAP), INTENT(INOUT) :: MA |
---|
| 506 | INTEGER N |
---|
| 507 | TYPE(DAMAP) M |
---|
| 508 | |
---|
| 509 | CALL ALLOC(M) |
---|
| 510 | |
---|
| 511 | CALL mtree(MA%v%I,C_%ND2,M%v%I,C_%ND2) |
---|
| 512 | CALL ppushGETN(M%v%I,C_%ND2,N) |
---|
| 513 | |
---|
| 514 | |
---|
| 515 | CALL ALLOC_TREE(T,N,C_%ND2) |
---|
| 516 | T%no=c_%no |
---|
| 517 | |
---|
| 518 | CALL ppushstore(M%v%I,C_%ND2,T%CC,T%JL,T%JV) |
---|
| 519 | |
---|
| 520 | CALL KILL(M) |
---|
| 521 | |
---|
| 522 | END SUBROUTINE SET_TREE |
---|
| 523 | |
---|
| 524 | ! FOR FAST B FIELD IN PACKAGE OF PTC |
---|
| 525 | SUBROUTINE SET_TREE_G(T,MA) |
---|
| 526 | IMPLICIT NONE |
---|
| 527 | TYPE(TREE_ELEMENT), INTENT(INOUT) :: T |
---|
| 528 | TYPE(taylor), INTENT(INOUT) :: MA(:) |
---|
| 529 | INTEGER N,NP |
---|
| 530 | TYPE(taylor), ALLOCATABLE :: M(:) |
---|
| 531 | |
---|
| 532 | NP=SIZE(MA) |
---|
| 533 | |
---|
| 534 | ALLOCATE(M(NP)) |
---|
| 535 | CALL ALLOC(M,NP) |
---|
| 536 | |
---|
| 537 | CALL mtree(MA%I,NP,M%I,NP) |
---|
| 538 | CALL ppushGETN(M%I,NP,N) |
---|
| 539 | |
---|
| 540 | |
---|
| 541 | CALL ALLOC_TREE(T,N,NP) |
---|
| 542 | T%no=c_%no |
---|
| 543 | |
---|
| 544 | CALL ppushstore(M%I,NP,T%CC,T%JL,T%JV) |
---|
| 545 | |
---|
| 546 | CALL KILL(M,NP) |
---|
| 547 | deallocate(M) |
---|
| 548 | END SUBROUTINE SET_TREE_G |
---|
| 549 | |
---|
| 550 | SUBROUTINE track_TREE_G(T,XI) |
---|
| 551 | use da_arrays |
---|
| 552 | IMPLICIT NONE |
---|
| 553 | TYPE(TREE_ELEMENT), INTENT(IN) :: T |
---|
| 554 | REAL(DP), INTENT(INOUT) :: XI(:) |
---|
| 555 | REAL(DP) XT(lno),XF(lnv),XM(lno+1),XX |
---|
| 556 | INTEGER JC,I,IV |
---|
| 557 | |
---|
| 558 | XT=0.0_dp |
---|
| 559 | XF=0.0_dp |
---|
| 560 | XM=0.0_dp |
---|
| 561 | |
---|
| 562 | do i=1,T%ND2 |
---|
| 563 | xt(i)=xi(i) |
---|
| 564 | enddo |
---|
| 565 | do i=1,T%ND2 |
---|
| 566 | xf(i) = T%cc(i) |
---|
| 567 | enddo |
---|
| 568 | |
---|
| 569 | XM(1) = 1.0_dp |
---|
| 570 | JC=T%ND2 |
---|
| 571 | do i=1,(T%N-T%ND2)/T%ND2 |
---|
| 572 | ! |
---|
| 573 | xx = xm(T%jl(JC+1))*xt(T%jV(JC+1)) |
---|
| 574 | xm(T%jl(JC+1)+1) = xx |
---|
| 575 | ! |
---|
| 576 | do iv=1,T%ND2 |
---|
| 577 | jc=jc+1 |
---|
| 578 | xf(iv) = xf(iv) + t%cc(jc) * xx |
---|
| 579 | enddo |
---|
| 580 | enddo |
---|
| 581 | xi=xf |
---|
| 582 | |
---|
| 583 | |
---|
| 584 | END SUBROUTINE track_TREE_G |
---|
| 585 | |
---|
| 586 | |
---|
| 587 | |
---|
| 588 | SUBROUTINE track_TREEP_g(T,XI) |
---|
| 589 | use da_arrays |
---|
| 590 | IMPLICIT NONE |
---|
| 591 | TYPE(TREE_ELEMENT), INTENT(IN) :: T |
---|
| 592 | TYPE(REAL_8), INTENT(INOUT) :: XI(:) |
---|
| 593 | TYPE(REAL_8) XT(lno),XF(lnv),XM(lno+1),XX |
---|
| 594 | INTEGER JC,I,IV |
---|
| 595 | |
---|
| 596 | CALL ALLOC(XT,lno) |
---|
| 597 | CALL ALLOC(XF,lnv) |
---|
| 598 | CALL ALLOC(XM,lno+1) |
---|
| 599 | CALL ALLOC(XX) |
---|
| 600 | |
---|
| 601 | |
---|
| 602 | |
---|
| 603 | |
---|
| 604 | do i=1,T%ND2 |
---|
| 605 | xt(i)=xi(i) |
---|
| 606 | enddo |
---|
| 607 | do i=1,T%ND2 |
---|
| 608 | xf(i) = T%cc(i) |
---|
| 609 | enddo |
---|
| 610 | |
---|
| 611 | XM(1) = 1.0_dp |
---|
| 612 | JC=T%ND2 |
---|
| 613 | |
---|
| 614 | do i=1,(T%N-T%ND2)/T%ND2 |
---|
| 615 | ! |
---|
| 616 | xx = xm(T%jl(JC+1))*xt(T%jV(JC+1)) |
---|
| 617 | xm(T%jl(JC+1)+1) = xx |
---|
| 618 | ! |
---|
| 619 | do iv=1,T%ND2 |
---|
| 620 | jc=jc+1 |
---|
| 621 | xf(iv) = xf(iv) + t%cc(jc) * xx |
---|
| 622 | enddo |
---|
| 623 | enddo |
---|
| 624 | |
---|
| 625 | do i=1,T%ND2 |
---|
| 626 | xI(i)=xF(i) |
---|
| 627 | enddo |
---|
| 628 | |
---|
| 629 | CALL KILL(XT,lno) |
---|
| 630 | CALL KILL(XF,lnv) |
---|
| 631 | CALL KILL(XM,lno+1) |
---|
| 632 | CALL KILL(XX) |
---|
| 633 | |
---|
| 634 | END SUBROUTINE track_TREEP_g |
---|
| 635 | |
---|
| 636 | |
---|
| 637 | |
---|
| 638 | |
---|
| 639 | |
---|
| 640 | ! END OF FAST B FIELD IN PACKAGE OF PTC |
---|
| 641 | |
---|
| 642 | ! type tree_element |
---|
| 643 | ! real(dp) , DIMENSION(:), POINTER :: CC |
---|
| 644 | ! integer, DIMENSION(:), POINTER :: JL,JV |
---|
| 645 | ! INTEGER,POINTER :: N,ND2 |
---|
| 646 | ! end type tree_element |
---|
| 647 | |
---|
| 648 | |
---|
| 649 | SUBROUTINE KILL_TREE(T) |
---|
| 650 | IMPLICIT NONE |
---|
| 651 | TYPE(TREE_ELEMENT), INTENT(INOUT) :: T |
---|
| 652 | |
---|
| 653 | |
---|
| 654 | IF(ASSOCIATED(T%CC)) DEALLOCATE(T%CC,T%fix,T%JL,T%JV,T%N,T%ND2,T%No) |
---|
| 655 | |
---|
| 656 | |
---|
| 657 | END SUBROUTINE KILL_TREE |
---|
| 658 | |
---|
| 659 | SUBROUTINE KILL_TREE_N(T) |
---|
| 660 | IMPLICIT NONE |
---|
| 661 | TYPE(TREE_ELEMENT), INTENT(INOUT) :: T(:) |
---|
| 662 | INTEGER I |
---|
| 663 | |
---|
| 664 | DO I=1,SIZE(T) |
---|
| 665 | CALL KILL(T(I)) |
---|
| 666 | ENDDO |
---|
| 667 | |
---|
| 668 | END SUBROUTINE KILL_TREE_N |
---|
| 669 | |
---|
| 670 | |
---|
| 671 | |
---|
| 672 | |
---|
| 673 | SUBROUTINE track_TREE(T,XI,n) |
---|
| 674 | use da_arrays |
---|
| 675 | IMPLICIT NONE |
---|
| 676 | TYPE(TREE_ELEMENT), INTENT(IN) :: T |
---|
| 677 | REAL(DP), INTENT(INOUT) :: XI(6) |
---|
| 678 | integer, optional, INTENT(IN) :: n |
---|
| 679 | integer n1,k |
---|
| 680 | REAL(DP) XT(lno),XF(6),XM(lno+1),XX |
---|
| 681 | INTEGER JC,I,IV |
---|
| 682 | xi(1:t%nd2)=xi(1:t%nd2)-t%fix |
---|
| 683 | n1=1 |
---|
| 684 | if(present(n)) n1=n |
---|
| 685 | do k=1,n1 |
---|
| 686 | if(.not.c_%CHECK_STABLE) return |
---|
| 687 | XT=0.0_dp |
---|
| 688 | XF=0.0_dp |
---|
| 689 | XM=0.0_dp |
---|
| 690 | |
---|
| 691 | do i=1,T%ND2 |
---|
| 692 | xt(i)=xi(i) |
---|
| 693 | enddo |
---|
| 694 | do i=1,T%ND2 |
---|
| 695 | xf(i) = T%cc(i) |
---|
| 696 | enddo |
---|
| 697 | |
---|
| 698 | XM(1) = 1.0_dp |
---|
| 699 | JC=T%ND2 |
---|
| 700 | do i=1,(T%N-T%ND2)/T%ND2 |
---|
| 701 | ! |
---|
| 702 | xx = xm(T%jl(JC+1))*xt(T%jV(JC+1)) |
---|
| 703 | xm(T%jl(JC+1)+1) = xx |
---|
| 704 | ! |
---|
| 705 | do iv=1,T%ND2 |
---|
| 706 | jc=jc+1 |
---|
| 707 | xf(iv) = xf(iv) + t%cc(jc) * xx |
---|
| 708 | enddo |
---|
| 709 | enddo |
---|
| 710 | xi=xf |
---|
| 711 | |
---|
| 712 | if(abs(xi(1))>c_%absolute_aperture.or.abs(xi(3))>c_%absolute_aperture) then |
---|
| 713 | c_%CHECK_STABLE=.FALSE. |
---|
| 714 | xlost=xi |
---|
| 715 | endif |
---|
| 716 | enddo |
---|
| 717 | |
---|
| 718 | END SUBROUTINE track_TREE |
---|
| 719 | |
---|
| 720 | SUBROUTINE track_TREEP(T,XI,n) |
---|
| 721 | use da_arrays |
---|
| 722 | IMPLICIT NONE |
---|
| 723 | TYPE(TREE_ELEMENT), INTENT(IN) :: T |
---|
| 724 | TYPE(REAL_8), INTENT(INOUT) :: XI(6) |
---|
| 725 | integer, optional, INTENT(IN) :: n |
---|
| 726 | integer n1,k |
---|
| 727 | TYPE(REAL_8) XT(lno),XF(6),XM(lno+1),XX |
---|
| 728 | INTEGER JC,I,IV |
---|
| 729 | |
---|
| 730 | n1=1 |
---|
| 731 | if(present(n)) n1=n |
---|
| 732 | do k=1,n1 |
---|
| 733 | |
---|
| 734 | CALL ALLOC(XT,lno) |
---|
| 735 | CALL ALLOC(XF,6) |
---|
| 736 | CALL ALLOC(XM,lno+1) |
---|
| 737 | CALL ALLOC(XX) |
---|
| 738 | |
---|
| 739 | |
---|
| 740 | |
---|
| 741 | |
---|
| 742 | do i=1,T%ND2 |
---|
| 743 | xt(i)=xi(i) |
---|
| 744 | enddo |
---|
| 745 | do i=1,T%ND2 |
---|
| 746 | xf(i) = T%cc(i) |
---|
| 747 | enddo |
---|
| 748 | |
---|
| 749 | XM(1) = 1.0_dp |
---|
| 750 | JC=T%ND2 |
---|
| 751 | |
---|
| 752 | do i=1,(T%N-T%ND2)/T%ND2 |
---|
| 753 | ! |
---|
| 754 | xx = xm(T%jl(JC+1))*xt(T%jV(JC+1)) |
---|
| 755 | xm(T%jl(JC+1)+1) = xx |
---|
| 756 | ! |
---|
| 757 | do iv=1,T%ND2 |
---|
| 758 | jc=jc+1 |
---|
| 759 | xf(iv) = xf(iv) + t%cc(jc) * xx |
---|
| 760 | enddo |
---|
| 761 | enddo |
---|
| 762 | |
---|
| 763 | do i=1,T%ND2 |
---|
| 764 | xI(i)=xF(i) |
---|
| 765 | enddo |
---|
| 766 | |
---|
| 767 | CALL KILL(XT,lno) |
---|
| 768 | CALL KILL(XF,6) |
---|
| 769 | CALL KILL(XM,lno+1) |
---|
| 770 | CALL KILL(XX) |
---|
| 771 | |
---|
| 772 | enddo |
---|
| 773 | END SUBROUTINE track_TREEP |
---|
| 774 | |
---|
| 775 | ! READING COSY MAPS AND UNIVERSAL TAYLORS |
---|
| 776 | SUBROUTINE dainput_SPECIAL6(S1,MFILE,COSY) |
---|
| 777 | implicit none |
---|
| 778 | INTEGER,INTENT(in)::MFILE,COSY |
---|
| 779 | type (damap),INTENT(INOUT)::S1 |
---|
| 780 | INTEGER I,js(6),k1,k2,l,ncoef |
---|
| 781 | real(dp) x |
---|
| 782 | character*200 line |
---|
| 783 | S1=0 |
---|
| 784 | SELECT CASE(COSY) |
---|
| 785 | CASE(0:1) |
---|
| 786 | call dainput(s1,mfile) |
---|
| 787 | CASE(2) ! COSY INFINITY |
---|
| 788 | do i=1,c_%nd2 |
---|
| 789 | read(mfile,'(a200)') line |
---|
| 790 | read(mfile,'(a200)') line |
---|
| 791 | do while(line(14:16)/='---') |
---|
| 792 | read(line,*) k1,x,k2,js |
---|
| 793 | s1%v(i)=s1%v(i)+(x.mono.js) |
---|
| 794 | read(mfile,'(a200)') line |
---|
| 795 | enddo |
---|
| 796 | enddo |
---|
| 797 | |
---|
| 798 | CASE(-1) ! sagan |
---|
| 799 | do i=1,c_%nd2 |
---|
| 800 | read(mfile,*) ncoef |
---|
| 801 | do l=1,ncoef |
---|
| 802 | read(mfile,*) x,js |
---|
| 803 | s1%v(i)=s1%v(i)+(x.mono.js) |
---|
| 804 | enddo |
---|
| 805 | enddo |
---|
| 806 | |
---|
| 807 | CASE DEFAULT |
---|
| 808 | |
---|
| 809 | WRITE(6,*) " NOT SUPPORTED IN DAREADMAP_SPECIAL" |
---|
| 810 | STOP 111 |
---|
| 811 | |
---|
| 812 | END SELECT |
---|
| 813 | |
---|
| 814 | |
---|
| 815 | END SUBROUTINE dainput_SPECIAL6 |
---|
| 816 | |
---|
| 817 | ! SYMPLECTIFY A MAP NEAR THE IDENTITY |
---|
| 818 | SUBROUTINE symplectic(m,eps,nst) |
---|
| 819 | IMPLICIT NONE |
---|
| 820 | type(damap), INTENT(INOUT) :: m |
---|
| 821 | type(onelieexponent) uno |
---|
| 822 | type(damap) id |
---|
| 823 | real(dp), optional :: eps |
---|
| 824 | integer nst |
---|
| 825 | |
---|
| 826 | call alloc(uno); call alloc(id); |
---|
| 827 | |
---|
| 828 | if(present(eps))then |
---|
| 829 | if(eps>0.0_dp) uno%eps=eps |
---|
| 830 | endif |
---|
| 831 | uno=m |
---|
| 832 | id=1 |
---|
| 833 | uno%pb%h=uno%pb%h/nst |
---|
| 834 | m=texp(uno%pb,id) |
---|
| 835 | |
---|
| 836 | call kill(uno); call kill(id); |
---|
| 837 | |
---|
| 838 | |
---|
| 839 | end SUBROUTINE symplectic |
---|
| 840 | |
---|
| 841 | ! $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ |
---|
| 842 | ! $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ |
---|
| 843 | ! $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ |
---|
| 844 | ! $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ |
---|
| 845 | ! $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ |
---|
| 846 | ! $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ |
---|
| 847 | ! $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ |
---|
| 848 | ! $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ |
---|
| 849 | ! $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ |
---|
| 850 | ! SPIN STUFF IS HERE |
---|
| 851 | |
---|
| 852 | |
---|
| 853 | |
---|
| 854 | |
---|
| 855 | subroutine assmap(s1) |
---|
| 856 | implicit none |
---|
| 857 | TYPE (damapspin) s1 |
---|
| 858 | integer i,j |
---|
| 859 | |
---|
| 860 | select case(master) |
---|
| 861 | case(0:ndumt-1) |
---|
| 862 | master=master+1 |
---|
| 863 | case(ndumt) |
---|
| 864 | w_p=0 |
---|
| 865 | w_p%nc=1 |
---|
| 866 | w_p=(/" cannot indent anymore "/) |
---|
| 867 | w_p%fc='(1((1X,A72),/))' |
---|
| 868 | ! call !write_e(100) |
---|
| 869 | end select |
---|
| 870 | |
---|
| 871 | do i=1,3 |
---|
| 872 | do j=1,3 |
---|
| 873 | call assp_no_master(s1%s%s(i,j)) |
---|
| 874 | ! call ass0(s1%s(i,j)%t) ! taylor |
---|
| 875 | ! s1%s(i,j)%alloc=my_true |
---|
| 876 | ! s1%s(i,j)%kind=1 |
---|
| 877 | ! s1%s(i,j)%i=0 |
---|
| 878 | enddo |
---|
| 879 | enddo |
---|
| 880 | do i=1,c_%nd2 |
---|
| 881 | call ass0(s1%m%v(i)) |
---|
| 882 | enddo |
---|
| 883 | |
---|
| 884 | end subroutine assmap |
---|
| 885 | |
---|
| 886 | subroutine assprobe_8(s1) |
---|
| 887 | implicit none |
---|
| 888 | TYPE (probe_8) s1 |
---|
| 889 | integer i,j |
---|
| 890 | |
---|
| 891 | select case(master) |
---|
| 892 | case(0:ndumt-1) |
---|
| 893 | master=master+1 |
---|
| 894 | case(ndumt) |
---|
| 895 | w_p=0 |
---|
| 896 | w_p%nc=1 |
---|
| 897 | w_p=(/" cannot indent anymore "/) |
---|
| 898 | w_p%fc='(1((1X,A72),/))' |
---|
| 899 | ! call !write_e(100) |
---|
| 900 | end select |
---|
| 901 | |
---|
| 902 | ! if(C_%SPIN_POS/=0) then |
---|
| 903 | ! do i=1,3 |
---|
| 904 | ! call ass0(s1%s%x(i)%t) |
---|
| 905 | ! s1%s%x(i)%alloc=my_true |
---|
| 906 | ! s1%s%x(i)%kind=2 |
---|
| 907 | ! s1%s%x(i)%i=0 |
---|
| 908 | ! enddo |
---|
| 909 | do j=1,3 |
---|
| 910 | do i=1,3 |
---|
| 911 | call assp_no_master(s1%s(j)%x(i)) |
---|
| 912 | ! call ass0(s1%s(j)%x(i)%t) |
---|
| 913 | ! s1%s(j)%x(i)%alloc=my_true |
---|
| 914 | ! s1%s(j)%x(i)%kind=1 |
---|
| 915 | ! s1%s(j)%x(i)%i=0 |
---|
| 916 | enddo |
---|
| 917 | enddo |
---|
| 918 | |
---|
| 919 | ! endif |
---|
| 920 | do i=1,6 ! |
---|
| 921 | call assp_no_master(s1%x(i)) |
---|
| 922 | ! call ass0(s1%x(i)%t) |
---|
| 923 | ! s1%x(i)%alloc=my_true |
---|
| 924 | ! s1%x(i)%kind=1 |
---|
| 925 | ! s1%x(i)%i=0 |
---|
| 926 | enddo |
---|
| 927 | |
---|
| 928 | do i=1,2 ! |
---|
| 929 | call assp_no_master(s1%AC%x(i)) |
---|
| 930 | enddo |
---|
| 931 | |
---|
| 932 | |
---|
| 933 | end subroutine assprobe_8 |
---|
| 934 | |
---|
| 935 | |
---|
| 936 | |
---|
| 937 | |
---|
| 938 | FUNCTION FULL_ABST( S1 ) |
---|
| 939 | implicit none |
---|
| 940 | REAL(DP) FULL_ABST |
---|
| 941 | TYPE (damapspin), INTENT (IN) :: S1 |
---|
| 942 | integer i,j |
---|
| 943 | |
---|
| 944 | FULL_ABST=0.0_dp |
---|
| 945 | |
---|
| 946 | do i=1,3 |
---|
| 947 | do j=1,3 |
---|
| 948 | FULL_ABST=FULL_ABS(S1%s%s(i,j))+FULL_ABST |
---|
| 949 | enddo |
---|
| 950 | enddo |
---|
| 951 | |
---|
| 952 | |
---|
| 953 | END FUNCTION FULL_ABST |
---|
| 954 | |
---|
| 955 | FUNCTION CUTORDER( S1, S2 ) |
---|
| 956 | implicit none |
---|
| 957 | TYPE (damapspin) CUTORDER |
---|
| 958 | TYPE (damapspin), INTENT (IN) :: S1 |
---|
| 959 | integer , INTENT (IN) :: S2 |
---|
| 960 | integer localmaster |
---|
| 961 | integer i,j |
---|
| 962 | |
---|
| 963 | localmaster=master |
---|
| 964 | call ass(CUTORDER) |
---|
| 965 | |
---|
| 966 | CUTORDER=0 |
---|
| 967 | |
---|
| 968 | do i=1,3 |
---|
| 969 | do j=1,3 |
---|
| 970 | CUTORDER%s%s(i,j)=s1%s%s(i,j).cut.(s2-1) |
---|
| 971 | enddo |
---|
| 972 | enddo |
---|
| 973 | |
---|
| 974 | CUTORDER%m=s1%m.cut.s2 |
---|
| 975 | |
---|
| 976 | master=localmaster |
---|
| 977 | |
---|
| 978 | END FUNCTION CUTORDER |
---|
| 979 | |
---|
| 980 | subroutine inv_damapspin(r,s) |
---|
| 981 | implicit none |
---|
| 982 | TYPE(damapspin), INTENT(INOUT) :: S |
---|
| 983 | TYPE(damapspin), INTENT(IN) :: r |
---|
| 984 | TYPE(damapspin) t |
---|
| 985 | INTEGER I,j |
---|
| 986 | |
---|
| 987 | call alloc(t) |
---|
| 988 | |
---|
| 989 | t=r |
---|
| 990 | s%m=t%m**(-1) |
---|
| 991 | |
---|
| 992 | do i=1,3 |
---|
| 993 | do j=1,3 |
---|
| 994 | s%s%s(i,j)=t%s%s(j,i) |
---|
| 995 | ! if(s%s(i,j)%kind==2) then ! taylor |
---|
| 996 | s%s%s(i,j)=s%s%s(i,j)*s%m |
---|
| 997 | ! s%s(i,j)=s%s(i,j)%t*s%m ! taylor |
---|
| 998 | ! endif ! taylor |
---|
| 999 | enddo |
---|
| 1000 | enddo |
---|
| 1001 | |
---|
| 1002 | call kill(t) |
---|
| 1003 | |
---|
| 1004 | END subroutine inv_damapspin |
---|
| 1005 | |
---|
| 1006 | |
---|
| 1007 | ! type damapspin |
---|
| 1008 | ! REAL(DP) X(6) |
---|
| 1009 | ! type(damap) M |
---|
| 1010 | ! type(real_8) s(3,3) |
---|
| 1011 | ! end type damapspin |
---|
| 1012 | |
---|
| 1013 | |
---|
| 1014 | |
---|
| 1015 | |
---|
| 1016 | subroutine EQUAL_damapspin(S,R) |
---|
| 1017 | implicit none |
---|
| 1018 | TYPE(damapspin), INTENT(INOUT) :: S |
---|
| 1019 | TYPE(damapspin), INTENT(IN) :: r |
---|
| 1020 | INTEGER I,j |
---|
| 1021 | |
---|
| 1022 | do i=1,3 |
---|
| 1023 | do j=1,3 |
---|
| 1024 | s%s%s(i,j)=r%s%s(i,j) |
---|
| 1025 | enddo |
---|
| 1026 | enddo |
---|
| 1027 | |
---|
| 1028 | s%m=r%m |
---|
| 1029 | s%e_ij=r%e_ij |
---|
| 1030 | ! s%s0=r%s0 |
---|
| 1031 | |
---|
| 1032 | ! do i=1,6 |
---|
| 1033 | ! s%x(i)=r%x(i) |
---|
| 1034 | ! enddo |
---|
| 1035 | |
---|
| 1036 | END subroutine EQUAL_damapspin |
---|
| 1037 | |
---|
| 1038 | |
---|
| 1039 | subroutine EQUAL_damapspin_smat(S,R) |
---|
| 1040 | implicit none |
---|
| 1041 | TYPE(damapspin), INTENT(INOUT) :: S |
---|
| 1042 | real(dp), INTENT(IN) :: r(3,3) |
---|
| 1043 | INTEGER I,j |
---|
| 1044 | |
---|
| 1045 | do i=1,3 |
---|
| 1046 | do j=1,3 |
---|
| 1047 | s%s%s(i,j)=r(i,j) |
---|
| 1048 | enddo |
---|
| 1049 | enddo |
---|
| 1050 | |
---|
| 1051 | |
---|
| 1052 | END subroutine EQUAL_damapspin_smat |
---|
| 1053 | |
---|
| 1054 | subroutine EQUAL_smat_damapspin(R,S) |
---|
| 1055 | implicit none |
---|
| 1056 | real(dp), INTENT(INout) :: r(3,3) |
---|
| 1057 | TYPE(damapspin), INTENT(IN) :: S |
---|
| 1058 | INTEGER I,j |
---|
| 1059 | |
---|
| 1060 | do i=1,3 |
---|
| 1061 | do j=1,3 |
---|
| 1062 | r(i,j)=s%s%s(i,j) |
---|
| 1063 | enddo |
---|
| 1064 | enddo |
---|
| 1065 | |
---|
| 1066 | |
---|
| 1067 | END subroutine EQUAL_smat_damapspin |
---|
| 1068 | |
---|
| 1069 | |
---|
| 1070 | subroutine EQUAL_IDENTITY_SPINOR_8(S,R) |
---|
| 1071 | implicit none |
---|
| 1072 | TYPE(SPINOR_8), INTENT(INOUT) :: S |
---|
| 1073 | INTEGER, INTENT(IN) :: R |
---|
| 1074 | INTEGER I |
---|
| 1075 | |
---|
| 1076 | ! S%G=A_PARTICLE |
---|
| 1077 | IF(R==1.or.r==2.or.r==3) THEN |
---|
| 1078 | DO I=1,3 !C_%NSPIN |
---|
| 1079 | S%X(I)=0.0_dp |
---|
| 1080 | enddo |
---|
| 1081 | S%X(r)=1.0_dp |
---|
| 1082 | ! write(6,*) " in EQUAL_IDENTITY_SPINOR_8" |
---|
| 1083 | ! stop 888 |
---|
| 1084 | ! DO I=1,C_%NSPIN |
---|
| 1085 | ! S%X(I)=ONE.MONO.(c_%npara_fpp-C_%NSPIN+I) |
---|
| 1086 | ! ENDDO |
---|
| 1087 | ELSEIF(R==0) THEN |
---|
| 1088 | DO I=1,3 !C_%NSPIN |
---|
| 1089 | S%X(I)=0.0_dp |
---|
| 1090 | enddo |
---|
| 1091 | ELSE |
---|
| 1092 | write(6,*) " stopped in EQUAL_IDENTITY_SPINOR_8" |
---|
| 1093 | STOP 100 |
---|
| 1094 | ENDIF |
---|
| 1095 | |
---|
| 1096 | END subroutine EQUAL_IDENTITY_SPINOR_8 |
---|
| 1097 | |
---|
| 1098 | |
---|
| 1099 | subroutine EQUAL_IDENTITY_SPINOR_8_r3(S,R) |
---|
| 1100 | implicit none |
---|
| 1101 | TYPE(SPINOR_8), INTENT(INOUT) :: S |
---|
| 1102 | real(dp), INTENT(IN) :: R(3) |
---|
| 1103 | INTEGER I |
---|
| 1104 | |
---|
| 1105 | ! S%G=A_PARTICLE |
---|
| 1106 | |
---|
| 1107 | DO I=1,3 !C_%NSPIN |
---|
| 1108 | S%X(I)=r(i) !+(ONE.MONO.(c_%npara_fpp-C_%NSPIN+I)) |
---|
| 1109 | ENDDO |
---|
| 1110 | |
---|
| 1111 | END subroutine EQUAL_IDENTITY_SPINOR_8_r3 |
---|
| 1112 | |
---|
| 1113 | subroutine EQUAL_IDENTITY_SPINOR (S,R) |
---|
| 1114 | implicit none |
---|
| 1115 | TYPE(SPINOR), INTENT(INOUT) :: S |
---|
| 1116 | INTEGER, INTENT(IN) :: R |
---|
| 1117 | INTEGER I |
---|
| 1118 | |
---|
| 1119 | ! S%G=A_PARTICLE |
---|
| 1120 | IF(R==1.or.r==2.or.r==3) THEN |
---|
| 1121 | |
---|
| 1122 | DO I=1,3 !C_%NSPIN |
---|
| 1123 | S%X(I)=0.0_dp |
---|
| 1124 | enddo |
---|
| 1125 | S%X(r)=1.0_dp |
---|
| 1126 | ELSEIF(R==0) THEN |
---|
| 1127 | DO I=1,3 !C_%NSPIN |
---|
| 1128 | S%X(I)=0.0_dp |
---|
| 1129 | enddo |
---|
| 1130 | ELSE |
---|
| 1131 | STOP 100 |
---|
| 1132 | ENDIF |
---|
| 1133 | |
---|
| 1134 | END subroutine EQUAL_IDENTITY_SPINOR |
---|
| 1135 | |
---|
| 1136 | subroutine EQUAL_PROBE_REAL6 (P,X) |
---|
| 1137 | implicit none |
---|
| 1138 | TYPE(PROBE), INTENT(INOUT) :: P |
---|
| 1139 | REAL(DP), INTENT(IN) :: X(6) |
---|
| 1140 | INTEGER I |
---|
| 1141 | P%u=my_false |
---|
| 1142 | ! P%s(0)%x=zero |
---|
| 1143 | ! P%s(0)%x(n0_normal)=one |
---|
| 1144 | |
---|
| 1145 | DO I=1,ISPIN1R |
---|
| 1146 | P%s(i)%x=0.0_dp |
---|
| 1147 | P%s(i)%x(i)=1.0_dp |
---|
| 1148 | enddo |
---|
| 1149 | P%X=X |
---|
| 1150 | P%ac%t=0.0_dp |
---|
| 1151 | |
---|
| 1152 | END subroutine EQUAL_PROBE_REAL6 |
---|
| 1153 | |
---|
| 1154 | subroutine EQUAL_PROBE8_REAL6 (P,X) |
---|
| 1155 | implicit none |
---|
| 1156 | TYPE(PROBE_8), INTENT(INOUT) :: P |
---|
| 1157 | REAL(DP), INTENT(IN) :: X(6) |
---|
| 1158 | INTEGER I |
---|
| 1159 | |
---|
| 1160 | P%u=my_false |
---|
| 1161 | ! P%S=0 |
---|
| 1162 | |
---|
| 1163 | ! P%s(0)=0 |
---|
| 1164 | ! P%s(0)%x(n0_normal)=one |
---|
| 1165 | |
---|
| 1166 | DO I=1,3 |
---|
| 1167 | P%s(i)=0 |
---|
| 1168 | P%s(i)%x(i)=1.0_dp |
---|
| 1169 | enddo |
---|
| 1170 | |
---|
| 1171 | DO I=1,6 |
---|
| 1172 | P%X(i)=X(i) |
---|
| 1173 | enddo |
---|
| 1174 | |
---|
| 1175 | P%AC%X(1)=0.0_dp |
---|
| 1176 | P%AC%X(2)=0.0_dp |
---|
| 1177 | P%AC%t=0.0_dp |
---|
| 1178 | p%e_ij=0.0_dp |
---|
| 1179 | END subroutine EQUAL_PROBE8_REAL6 |
---|
| 1180 | |
---|
| 1181 | subroutine EQUAL_PROBE8_PROBE8(P8,P) |
---|
| 1182 | implicit none |
---|
| 1183 | TYPE(PROBE_8), INTENT(IN) :: P |
---|
| 1184 | TYPE(PROBE_8), INTENT(INOUT) :: P8 |
---|
| 1185 | INTEGER I,J |
---|
| 1186 | |
---|
| 1187 | DO I=1,6 |
---|
| 1188 | P8%X(I)=P%X(I) |
---|
| 1189 | ENDDO |
---|
| 1190 | |
---|
| 1191 | DO I=1,6 |
---|
| 1192 | DO j=1,6 |
---|
| 1193 | P8%E_ij(I,j)=P%E_ij(I,j) |
---|
| 1194 | ENDDO |
---|
| 1195 | ENDDO |
---|
| 1196 | |
---|
| 1197 | ! P8%S=P%S |
---|
| 1198 | DO I=1,3 |
---|
| 1199 | P8%S(i)=P%S(i) |
---|
| 1200 | enddo |
---|
| 1201 | P8%AC=P%AC |
---|
| 1202 | |
---|
| 1203 | P8%u=P%u |
---|
| 1204 | |
---|
| 1205 | END subroutine EQUAL_PROBE8_PROBE8 |
---|
| 1206 | |
---|
| 1207 | |
---|
| 1208 | |
---|
| 1209 | subroutine EQUAL_RF8_RF8(P8,P) |
---|
| 1210 | implicit none |
---|
| 1211 | TYPE(rf_phasor_8), INTENT(IN) :: P |
---|
| 1212 | TYPE(rf_phasor_8), INTENT(INOUT) :: P8 |
---|
| 1213 | INTEGER I |
---|
| 1214 | |
---|
| 1215 | DO I=1,2 |
---|
| 1216 | P8%X(I)=P%X(I) |
---|
| 1217 | ENDDO |
---|
| 1218 | P8%om=P%om |
---|
| 1219 | P8%t=P%t |
---|
| 1220 | |
---|
| 1221 | END subroutine EQUAL_RF8_RF8 |
---|
| 1222 | |
---|
| 1223 | subroutine EQUAL_RF8_RF(P8,P) |
---|
| 1224 | implicit none |
---|
| 1225 | TYPE(rf_phasor_8), INTENT(INOUT) :: P8 |
---|
| 1226 | TYPE(rf_phasor), INTENT(IN) :: P |
---|
| 1227 | INTEGER I |
---|
| 1228 | |
---|
| 1229 | DO I=1,2 |
---|
| 1230 | P8%X(I)=P%X(I) |
---|
| 1231 | ENDDO |
---|
| 1232 | P8%om=P%om |
---|
| 1233 | P8%t=P%t |
---|
| 1234 | |
---|
| 1235 | END subroutine EQUAL_RF8_RF |
---|
| 1236 | |
---|
| 1237 | subroutine EQUAL_RF_RF8(P,P8) |
---|
| 1238 | implicit none |
---|
| 1239 | TYPE(rf_phasor), INTENT(INOUT) :: P |
---|
| 1240 | TYPE(rf_phasor_8), INTENT(IN) :: P8 |
---|
| 1241 | INTEGER I |
---|
| 1242 | |
---|
| 1243 | DO I=1,2 |
---|
| 1244 | P%X(I)=P8%X(I) |
---|
| 1245 | ENDDO |
---|
| 1246 | P%om=P8%om |
---|
| 1247 | P%t=P8%t |
---|
| 1248 | |
---|
| 1249 | END subroutine EQUAL_RF_RF8 |
---|
| 1250 | |
---|
| 1251 | |
---|
| 1252 | |
---|
| 1253 | subroutine EQUAL_PROBE8_PROBE (P8,P) |
---|
| 1254 | implicit none |
---|
| 1255 | TYPE(PROBE), INTENT(IN) :: P |
---|
| 1256 | TYPE(PROBE_8), INTENT(INOUT) :: P8 |
---|
| 1257 | INTEGER I |
---|
| 1258 | DO I=1,6 |
---|
| 1259 | P8%X(I)=P%X(I) |
---|
| 1260 | ENDDO |
---|
| 1261 | ! P8%S=P%S |
---|
| 1262 | ! do i=1,3 |
---|
| 1263 | ! P8%S(i)=0 |
---|
| 1264 | ! P8%S(i)%x(i)=one |
---|
| 1265 | ! enddo |
---|
| 1266 | ! P8%S(0)=P%s(0) |
---|
| 1267 | do I=1,ISPIN1R |
---|
| 1268 | P8%S(I)=P%s(I) |
---|
| 1269 | enddo |
---|
| 1270 | |
---|
| 1271 | |
---|
| 1272 | P8%u=P%u |
---|
| 1273 | P8%e_ij=0.0_dp |
---|
| 1274 | END subroutine EQUAL_PROBE8_PROBE |
---|
| 1275 | |
---|
| 1276 | subroutine EQUAL_PROBE_PROBE8 (P,P8) |
---|
| 1277 | implicit none |
---|
| 1278 | TYPE(PROBE), INTENT(INOUT) :: P |
---|
| 1279 | TYPE(PROBE_8), INTENT(IN) :: P8 |
---|
| 1280 | INTEGER I |
---|
| 1281 | DO I=1,6 |
---|
| 1282 | P%X(I)=P8%X(I) |
---|
| 1283 | ENDDO |
---|
| 1284 | ! P%S(0)=P8%S(0) |
---|
| 1285 | DO I=1,ISPIN1R |
---|
| 1286 | P%S(I)=P8%S(I) |
---|
| 1287 | ENDDO |
---|
| 1288 | P%u=P8%u |
---|
| 1289 | |
---|
| 1290 | END subroutine EQUAL_PROBE_PROBE8 |
---|
| 1291 | |
---|
| 1292 | subroutine EQUAL_IDENTITY_probe(R,S) |
---|
| 1293 | implicit none |
---|
| 1294 | TYPE(probe), INTENT(INOUT) :: R |
---|
| 1295 | INTEGER, INTENT(IN) :: S |
---|
| 1296 | INTEGER I |
---|
| 1297 | |
---|
| 1298 | R%S(1)=0 |
---|
| 1299 | R%S(2)=0 |
---|
| 1300 | R%S(3)=0 |
---|
| 1301 | DO I=1,6 |
---|
| 1302 | R%X(I)=0.0_dp |
---|
| 1303 | ENDDO |
---|
| 1304 | IF(S==1) THEN |
---|
| 1305 | ! R%S(0)%x(n0_normal)=one |
---|
| 1306 | R%S(1)=1 |
---|
| 1307 | R%S(2)=2 |
---|
| 1308 | R%S(3)=3 |
---|
| 1309 | ELSEif(s==0) then |
---|
| 1310 | else |
---|
| 1311 | STOP 100 |
---|
| 1312 | ENDIF |
---|
| 1313 | |
---|
| 1314 | END subroutine EQUAL_IDENTITY_probe |
---|
| 1315 | |
---|
| 1316 | subroutine EQUAL_IDENTITY_probe_8(R,S) |
---|
| 1317 | implicit none |
---|
| 1318 | TYPE(probe_8), INTENT(INOUT) :: R |
---|
| 1319 | INTEGER, INTENT(IN) :: S |
---|
| 1320 | INTEGER I |
---|
| 1321 | |
---|
| 1322 | ! R%S=S |
---|
| 1323 | ! R%S(0)=0 |
---|
| 1324 | R%S(1)=0 |
---|
| 1325 | R%S(2)=0 |
---|
| 1326 | R%S(3)=0 |
---|
| 1327 | DO I=1,6 !-C_%NSPIN |
---|
| 1328 | R%X(I)=0.0_dp |
---|
| 1329 | enddo |
---|
| 1330 | IF(S==1) THEN |
---|
| 1331 | DO I=1,c_%npara_fpp !-C_%NSPIN |
---|
| 1332 | R%X(I)=1.0_dp.MONO.I |
---|
| 1333 | ENDDO |
---|
| 1334 | ! R%S(0)%x(n0_normal)=one |
---|
| 1335 | R%S(1)=1 |
---|
| 1336 | R%S(2)=2 |
---|
| 1337 | R%S(3)=3 |
---|
| 1338 | ELSEIF(S==0) THEN |
---|
| 1339 | |
---|
| 1340 | ! DO I=1,6 !-C_%NSPIN |
---|
| 1341 | ! R%X(I)=ZERO! |
---|
| 1342 | ! enddo |
---|
| 1343 | ELSE |
---|
| 1344 | STOP 100 |
---|
| 1345 | ENDIF |
---|
| 1346 | R%e_ij=0.0_dp |
---|
| 1347 | END subroutine EQUAL_IDENTITY_probe_8 |
---|
| 1348 | |
---|
| 1349 | |
---|
| 1350 | subroutine EQUAL_SPINOR8_SPINOR8(R,S) |
---|
| 1351 | implicit none |
---|
| 1352 | TYPE(SPINOR_8), INTENT(IN) :: S |
---|
| 1353 | TYPE(SPINOR_8), INTENT(INOUT) :: R |
---|
| 1354 | INTEGER I |
---|
| 1355 | |
---|
| 1356 | DO I=1,3 |
---|
| 1357 | R%X(I)=S%X(I) |
---|
| 1358 | ENDDO |
---|
| 1359 | ! R%G=S%G |
---|
| 1360 | END subroutine EQUAL_SPINOR8_SPINOR8 |
---|
| 1361 | |
---|
| 1362 | subroutine EQUAL_SPINOR_SPINOR8(R,S) |
---|
| 1363 | implicit none |
---|
| 1364 | TYPE(SPINOR_8), INTENT(IN) :: S |
---|
| 1365 | TYPE(SPINOR), INTENT(INOUT) :: R |
---|
| 1366 | INTEGER I |
---|
| 1367 | |
---|
| 1368 | DO I=1,3 |
---|
| 1369 | R%X(I)=S%X(I) |
---|
| 1370 | ENDDO |
---|
| 1371 | ! R%G=S%G |
---|
| 1372 | END subroutine EQUAL_SPINOR_SPINOR8 |
---|
| 1373 | |
---|
| 1374 | subroutine EQUAL_SPINOR8_SPINOR(R,S) |
---|
| 1375 | implicit none |
---|
| 1376 | TYPE(SPINOR), INTENT(IN) :: S |
---|
| 1377 | TYPE(SPINOR_8), INTENT(INOUT) :: R |
---|
| 1378 | INTEGER I |
---|
| 1379 | |
---|
| 1380 | DO I=1,3 |
---|
| 1381 | R%X(I)=S%X(I) |
---|
| 1382 | ENDDO |
---|
| 1383 | ! R%G=S%G |
---|
| 1384 | END subroutine EQUAL_SPINOR8_SPINOR |
---|
| 1385 | |
---|
| 1386 | subroutine EQUAL_DAMAP_RAY8(DS,R) |
---|
| 1387 | implicit none |
---|
| 1388 | TYPE(probe_8), INTENT(IN) :: R |
---|
| 1389 | TYPE(damap), INTENT(INOUT) :: DS |
---|
| 1390 | INTEGER I,nd2t |
---|
| 1391 | |
---|
| 1392 | nd2t=C_%ND2 |
---|
| 1393 | if(doing_ac_modulation_in_ptc) then |
---|
| 1394 | nd2t=C_%ND2-2 |
---|
| 1395 | endif |
---|
| 1396 | |
---|
| 1397 | |
---|
| 1398 | |
---|
| 1399 | DO I=1,nd2t |
---|
| 1400 | DS%V(I)=R%X(I) |
---|
| 1401 | ENDDO |
---|
| 1402 | DO I=nd2t+1,C_%ND2 |
---|
| 1403 | DS%V(I)=R%ac%x(i-nd2t) |
---|
| 1404 | ENDDO |
---|
| 1405 | |
---|
| 1406 | END subroutine EQUAL_DAMAP_RAY8 |
---|
| 1407 | |
---|
| 1408 | |
---|
| 1409 | subroutine EQUAL_DAMAPSPIN_RAY8(DS,R) |
---|
| 1410 | implicit none |
---|
| 1411 | TYPE(probe_8), INTENT(IN) :: R |
---|
| 1412 | TYPE(damapspin), INTENT(INOUT) :: DS |
---|
| 1413 | real(dp) s(3,3) |
---|
| 1414 | INTEGER I,J,nd2t |
---|
| 1415 | |
---|
| 1416 | nd2t=C_%ND2 |
---|
| 1417 | if(doing_ac_modulation_in_ptc) then |
---|
| 1418 | nd2t=C_%ND2-2 |
---|
| 1419 | endif |
---|
| 1420 | |
---|
| 1421 | |
---|
| 1422 | |
---|
| 1423 | DO I=1,nd2t |
---|
| 1424 | DS%M%V(I)=R%X(I) |
---|
| 1425 | ENDDO |
---|
| 1426 | DO I=nd2t+1,C_%ND2 |
---|
| 1427 | DS%M%V(I)=R%ac%x(i-nd2t) |
---|
| 1428 | ENDDO |
---|
| 1429 | |
---|
| 1430 | DO I=1,3 |
---|
| 1431 | DO J=1,3 |
---|
| 1432 | DS%S%s(I,J)=R%S(J)%X(I) |
---|
| 1433 | ENDDO |
---|
| 1434 | ENDDO |
---|
| 1435 | ! DS%S(I,1)=R%SX%X(I) |
---|
| 1436 | ! DS%S(I,2)=R%SY%X(I) |
---|
| 1437 | ! DS%S(I,3)=R%SZ%X(I) |
---|
| 1438 | ds%e_ij=r%e_ij |
---|
| 1439 | |
---|
| 1440 | ! DO I=1,3 |
---|
| 1441 | ! ! n(i)=R%S(0)%X(I) |
---|
| 1442 | ! DO J=1,3 |
---|
| 1443 | ! S(I,J)=DS%S(I,J) |
---|
| 1444 | ! ENDDO |
---|
| 1445 | ! ENDDO |
---|
| 1446 | |
---|
| 1447 | ! call inv_as(s,s) |
---|
| 1448 | |
---|
| 1449 | ! n= matmul(s,n) |
---|
| 1450 | |
---|
| 1451 | ! ds%s0=n |
---|
| 1452 | |
---|
| 1453 | |
---|
| 1454 | |
---|
| 1455 | ! DS%G=R%S%G |
---|
| 1456 | END subroutine EQUAL_DAMAPSPIN_RAY8 |
---|
| 1457 | |
---|
| 1458 | subroutine EQUAL_RAY8_DAMAPSPIN(R,DS) |
---|
| 1459 | implicit none |
---|
| 1460 | TYPE(probe_8), INTENT(INOUT) :: R |
---|
| 1461 | TYPE(damapspin), INTENT(IN) :: DS |
---|
| 1462 | INTEGER I,J |
---|
| 1463 | |
---|
| 1464 | ! if(C_%ND2/=6) then |
---|
| 1465 | ! write(6,*) " not implemented in EQUAL_DASPIN_RAY8" |
---|
| 1466 | ! stop |
---|
| 1467 | ! endif |
---|
| 1468 | |
---|
| 1469 | |
---|
| 1470 | |
---|
| 1471 | |
---|
| 1472 | DO I=1,C_%ND2 |
---|
| 1473 | R%X(I)= MORPH(DS%M%V(I)) !+R%X(I) |
---|
| 1474 | ENDDO |
---|
| 1475 | |
---|
| 1476 | DO J=1,3 |
---|
| 1477 | DO I=1,3 |
---|
| 1478 | R%S(J)%X(I)=DS%S%s(I,J) ! taylor MORPH(DS%S(I,J)) |
---|
| 1479 | ENDDO |
---|
| 1480 | ENDDO |
---|
| 1481 | |
---|
| 1482 | r%e_ij=ds%e_ij |
---|
| 1483 | |
---|
| 1484 | |
---|
| 1485 | |
---|
| 1486 | ! R%S%G=DS%G |
---|
| 1487 | |
---|
| 1488 | END subroutine EQUAL_RAY8_DAMAPSPIN |
---|
| 1489 | |
---|
| 1490 | subroutine EQUAL_DAmapSPIN_int(DS,I1) |
---|
| 1491 | implicit none |
---|
| 1492 | TYPE(damapspin), INTENT(INOUT) :: DS |
---|
| 1493 | INTEGER, INTENT(IN) :: I1 |
---|
| 1494 | INTEGER I |
---|
| 1495 | |
---|
| 1496 | ! type daspin |
---|
| 1497 | ! REAL(DP) X(6) |
---|
| 1498 | ! type(damap) M |
---|
| 1499 | ! type(real_8) s(3,3) |
---|
| 1500 | ! end type daspin |
---|
| 1501 | |
---|
| 1502 | ! DS%X=ZERO |
---|
| 1503 | DS%M=I1 |
---|
| 1504 | CALL zero_33(DS%S%s) |
---|
| 1505 | |
---|
| 1506 | DO I=1,3 |
---|
| 1507 | if(i1==1) then |
---|
| 1508 | DS%S%s(I,I)=1.0_dp |
---|
| 1509 | endif |
---|
| 1510 | ENDDO |
---|
| 1511 | DS%e_ij=0.0_dp |
---|
| 1512 | |
---|
| 1513 | END SUBROUTINE EQUAL_DAmapSPIN_int |
---|
| 1514 | |
---|
| 1515 | FUNCTION scdadd( S2,S1 ) |
---|
| 1516 | implicit none |
---|
| 1517 | TYPE (probe_8) scdadd |
---|
| 1518 | TYPE (damapspin), INTENT (IN) :: S1 |
---|
| 1519 | type(probe) , INTENT (IN) :: S2 |
---|
| 1520 | integer localmaster,i,j,nd2t,dc |
---|
| 1521 | type(taylor) d |
---|
| 1522 | |
---|
| 1523 | |
---|
| 1524 | scdadd%u=my_false |
---|
| 1525 | scdadd%E_ij=0.0_dp |
---|
| 1526 | |
---|
| 1527 | if(doing_ac_modulation_in_ptc) then |
---|
| 1528 | dc=2 |
---|
| 1529 | else |
---|
| 1530 | dc=0 |
---|
| 1531 | endif |
---|
| 1532 | if(c_%ndpt/=0) then ! delta-l without cavity |
---|
| 1533 | nd2t=6 |
---|
| 1534 | elseif(c_%ndpt==0.and.c_%nd2==4+dc) then ! no delta-l maybe delta as a parameter |
---|
| 1535 | nd2t=4 |
---|
| 1536 | elseif(c_%ndpt==0.and.c_%nd2==6+dc) then ! delta-l with cavity |
---|
| 1537 | nd2t=6 |
---|
| 1538 | else |
---|
| 1539 | write(6,*) " internal PTC error in scdadd o_tree_element.f90 " |
---|
| 1540 | stop 666 |
---|
| 1541 | endif |
---|
| 1542 | |
---|
| 1543 | call alloc(d) |
---|
| 1544 | do i=1,nd2t ! from 1-4 or 1-6 (if ndpt=0) |
---|
| 1545 | localmaster=master |
---|
| 1546 | call ass(scdadd%x(i)) |
---|
| 1547 | ! scdadd%x(i)=s1%m%v(i)+s2%x(i) |
---|
| 1548 | scdadd%x(i)=s1%M%V(i)+s2%x(i)-(s1%M%V(i).sub.'0') |
---|
| 1549 | master=localmaster |
---|
| 1550 | enddo |
---|
| 1551 | |
---|
| 1552 | do i=nd2t+1,6 |
---|
| 1553 | localmaster=master |
---|
| 1554 | call ass(scdadd%x(i)) |
---|
| 1555 | if((c_%npara==5+dc).AND.I==5) then ! npr |
---|
| 1556 | scdadd%x(i)=s2%x(i)+(1.0_dp.mono.c_%npara) |
---|
| 1557 | else |
---|
| 1558 | scdadd%x(i)=s2%x(i) |
---|
| 1559 | endif |
---|
| 1560 | master=localmaster |
---|
| 1561 | enddo |
---|
| 1562 | |
---|
| 1563 | ! if(doing_ac_modulation_in_ptc) then ! useless now |
---|
| 1564 | localmaster=master |
---|
| 1565 | call ass(scdadd%AC%x(1)) |
---|
| 1566 | ! scdadd%x(i)=s1%m%v(i)+s2%x(i) |
---|
| 1567 | scdadd%ac%x(1)=s1%M%V(C_%ND2-1) +s2%AC%x(1) |
---|
| 1568 | master=localmaster |
---|
| 1569 | localmaster=master |
---|
| 1570 | call ass(scdadd%AC%x(2)) |
---|
| 1571 | ! scdadd%x(i)=s1%m%v(i)+s2%x(i) |
---|
| 1572 | scdadd%ac%x(2)=s1%M%V(C_%ND2) +s2%AC%x(2) |
---|
| 1573 | master=localmaster |
---|
| 1574 | localmaster=master |
---|
| 1575 | call ass(scdadd%AC%om) |
---|
| 1576 | ! call ass(scdadd%AC%t) |
---|
| 1577 | ! scdadd%x(i)=s1%m%v(i)+s2%x(i) |
---|
| 1578 | scdadd%AC%om=s2%AC%om |
---|
| 1579 | scdadd%AC%t=s2%AC%t |
---|
| 1580 | master=localmaster |
---|
| 1581 | ! endif |
---|
| 1582 | |
---|
| 1583 | DO I=1,3 |
---|
| 1584 | ! call ass(scdadd%s%x(i)) |
---|
| 1585 | DO J=1,3 |
---|
| 1586 | localmaster=master |
---|
| 1587 | call ass(scdadd%s(J)%x(i)) |
---|
| 1588 | scdadd%s(J)%x(i)=S1%S%s(I,J) |
---|
| 1589 | master=localmaster |
---|
| 1590 | ENDDO |
---|
| 1591 | |
---|
| 1592 | ENDDO |
---|
| 1593 | |
---|
| 1594 | scdadd%e_ij=s1%e_ij |
---|
| 1595 | END FUNCTION scdadd |
---|
| 1596 | |
---|
| 1597 | |
---|
| 1598 | FUNCTION daddsc( S1,S2 ) |
---|
| 1599 | implicit none |
---|
| 1600 | TYPE (probe_8) daddsc |
---|
| 1601 | TYPE (damapspin), INTENT (IN) :: S1 |
---|
| 1602 | type(probe) , INTENT (IN) :: S2 |
---|
| 1603 | integer localmaster,i,j,nd2t,dc |
---|
| 1604 | type(taylor) d |
---|
| 1605 | |
---|
| 1606 | |
---|
| 1607 | |
---|
| 1608 | |
---|
| 1609 | ! call ass(daddsc) |
---|
| 1610 | daddsc%u=my_false |
---|
| 1611 | daddsc%E_ij=0.0_dp |
---|
| 1612 | |
---|
| 1613 | if(doing_ac_modulation_in_ptc) then |
---|
| 1614 | dc=2 |
---|
| 1615 | else |
---|
| 1616 | dc=0 |
---|
| 1617 | endif |
---|
| 1618 | if(c_%ndpt/=0) then ! delta-l without cavity |
---|
| 1619 | nd2t=6 |
---|
| 1620 | elseif(c_%ndpt==0.and.c_%nd2==4+dc) then ! no delta-l maybe delta as a parameter |
---|
| 1621 | nd2t=4 |
---|
| 1622 | elseif(c_%ndpt==0.and.c_%nd2==6+dc) then ! delta-l with cavity |
---|
| 1623 | nd2t=6 |
---|
| 1624 | else |
---|
| 1625 | write(6,*) " internal PTC error in daddsc o_tree_element.f90 " |
---|
| 1626 | stop 666 |
---|
| 1627 | endif |
---|
| 1628 | |
---|
| 1629 | call alloc(d) |
---|
| 1630 | do i=1,nd2t ! from 1-4 or 1-6 (if ndpt=0) |
---|
| 1631 | localmaster=master |
---|
| 1632 | call ass(daddsc%x(i)) |
---|
| 1633 | ! scdadd%x(i)=s1%m%v(i)+s2%x(i) |
---|
| 1634 | daddsc%x(i)=s1%M%V(i)+s2%x(i)-(s1%M%V(i).sub.'0') |
---|
| 1635 | master=localmaster |
---|
| 1636 | enddo |
---|
| 1637 | |
---|
| 1638 | do i=nd2t+1,6 |
---|
| 1639 | localmaster=master |
---|
| 1640 | call ass(daddsc%x(i)) |
---|
| 1641 | if((c_%npara==5+dc).AND.I==5) then ! npr |
---|
| 1642 | daddsc%x(i)=s2%x(i)+(1.0_dp.mono.c_%npara) |
---|
| 1643 | else |
---|
| 1644 | daddsc%x(i)=s2%x(i) |
---|
| 1645 | endif |
---|
| 1646 | master=localmaster |
---|
| 1647 | enddo |
---|
| 1648 | |
---|
| 1649 | ! if(doing_ac_modulation_in_ptc) then ! useless now |
---|
| 1650 | localmaster=master |
---|
| 1651 | call ass(daddsc%AC%x(1)) |
---|
| 1652 | ! scdadd%x(i)=s1%m%v(i)+s2%x(i) |
---|
| 1653 | daddsc%ac%x(1)=s1%M%V(C_%ND2-1) +s2%AC%x(1) |
---|
| 1654 | master=localmaster |
---|
| 1655 | localmaster=master |
---|
| 1656 | call ass(daddsc%AC%x(2)) |
---|
| 1657 | ! scdadd%x(i)=s1%m%v(i)+s2%x(i) |
---|
| 1658 | daddsc%ac%x(2)=s1%M%V(C_%ND2) +s2%AC%x(2) |
---|
| 1659 | master=localmaster |
---|
| 1660 | localmaster=master |
---|
| 1661 | call ass(daddsc%AC%om) |
---|
| 1662 | ! call ass(daddsc%AC%t) |
---|
| 1663 | ! scdadd%x(i)=s1%m%v(i)+s2%x(i) |
---|
| 1664 | daddsc%AC%om=s2%AC%om |
---|
| 1665 | daddsc%AC%t=s2%AC%t |
---|
| 1666 | master=localmaster |
---|
| 1667 | ! endif |
---|
| 1668 | |
---|
| 1669 | DO I=1,3 |
---|
| 1670 | ! call ass(scdadd%s%x(i)) |
---|
| 1671 | DO J=1,3 |
---|
| 1672 | localmaster=master |
---|
| 1673 | call ass(daddsc%s(J)%x(i)) |
---|
| 1674 | daddsc%s(J)%x(i)=S1%S%s(I,J) |
---|
| 1675 | master=localmaster |
---|
| 1676 | ENDDO |
---|
| 1677 | |
---|
| 1678 | ENDDO |
---|
| 1679 | |
---|
| 1680 | daddsc%e_ij=s1%e_ij |
---|
| 1681 | |
---|
| 1682 | |
---|
| 1683 | END FUNCTION daddsc |
---|
| 1684 | |
---|
| 1685 | subroutine print_DASPIN(DS,MF,prec) |
---|
| 1686 | implicit none |
---|
| 1687 | TYPE(damapspin), INTENT(INOUT) :: DS |
---|
| 1688 | real(dp), optional :: prec |
---|
| 1689 | INTEGER MF,I,J |
---|
| 1690 | logical(lp) spin_in,rad_in |
---|
| 1691 | |
---|
| 1692 | ! WRITE(MF,*) " ORBIT " |
---|
| 1693 | ! WRITE(MF,*) DS%X(1:3) |
---|
| 1694 | ! WRITE(MF,*) DS%X(4:6) |
---|
| 1695 | WRITE(MF,*) c_%nd2 ," DIMENSIONAL ORBITAL MAP " |
---|
| 1696 | CALL PRINT(DS%M,MF,prec) |
---|
| 1697 | call check_spin(DS,spin_in) |
---|
| 1698 | if(spin_in) then |
---|
| 1699 | WRITE(MF,*) " SPIN MATRIX " |
---|
| 1700 | DO I=1,3 |
---|
| 1701 | DO J=1,3 |
---|
| 1702 | WRITE(MF,*) " SPIN MATRIX COMPONENT ",I,J |
---|
| 1703 | CALL PRINT(DS%S%s(I,J),MF,prec) |
---|
| 1704 | ENDDO |
---|
| 1705 | ENDDO |
---|
| 1706 | else |
---|
| 1707 | |
---|
| 1708 | WRITE(MF,*) "NO SPIN MATRIX OR IDENTITY " |
---|
| 1709 | |
---|
| 1710 | endif |
---|
| 1711 | call check_rad(DS%e_ij,rad_in) |
---|
| 1712 | if(rad_in) then |
---|
| 1713 | WRITE(MF,*) " STOCHASTIC KICK " |
---|
| 1714 | DO I=1,6 |
---|
| 1715 | DO J=1,6 |
---|
| 1716 | WRITE(MF,*) " STOCHASTIC KICK COMPONENT ",I,J |
---|
| 1717 | write(mf,*) ds%e_ij(i,j) |
---|
| 1718 | ENDDO |
---|
| 1719 | ENDDO |
---|
| 1720 | else |
---|
| 1721 | WRITE(MF,*) "NO STOCHASTIC KICK " |
---|
| 1722 | endif |
---|
| 1723 | |
---|
| 1724 | END subroutine print_DASPIN |
---|
| 1725 | |
---|
| 1726 | subroutine print_probe8(DS,MF) |
---|
| 1727 | implicit none |
---|
| 1728 | TYPE(probe_8), INTENT(INOUT) :: DS |
---|
| 1729 | INTEGER MF,I,j |
---|
| 1730 | logical(lp) rad_in |
---|
| 1731 | |
---|
| 1732 | WRITE(MF,*) " ORBIT " |
---|
| 1733 | do i=1,6 |
---|
| 1734 | write(mf,*) ' Variable ',i |
---|
| 1735 | call print(ds%x(i),mf) |
---|
| 1736 | enddo |
---|
| 1737 | ! WRITE(MF,*) " SPIN 0 " |
---|
| 1738 | ! do i=1,3 |
---|
| 1739 | ! write(mf,*) ' Spin Variable ',i |
---|
| 1740 | ! call print(ds%s(0)%x(i),mf) |
---|
| 1741 | ! enddo |
---|
| 1742 | WRITE(MF,*) " SPIN X " |
---|
| 1743 | call print(ds%s(1),mf) |
---|
| 1744 | ! do i=1,3 |
---|
| 1745 | ! write(mf,*) ' Spin Variable ',i |
---|
| 1746 | ! call print(ds%s(1)%x(i),mf) |
---|
| 1747 | ! enddo |
---|
| 1748 | WRITE(MF,*) " SPIN Y " |
---|
| 1749 | call print(ds%s(2),mf) |
---|
| 1750 | ! do i=1,3 |
---|
| 1751 | ! write(mf,*) ' Spin Variable ',i |
---|
| 1752 | ! call print(ds%s(2)%x(i),mf) |
---|
| 1753 | ! enddo |
---|
| 1754 | WRITE(MF,*) " SPIN Z " |
---|
| 1755 | call print(ds%s(3),mf) |
---|
| 1756 | ! do i=1,3 |
---|
| 1757 | ! write(mf,*) ' Spin Variable ',i |
---|
| 1758 | ! call print(ds%s(3)%x(i),mf) |
---|
| 1759 | ! enddo |
---|
| 1760 | |
---|
| 1761 | |
---|
| 1762 | call check_rad(DS%e_ij,rad_in) |
---|
| 1763 | |
---|
| 1764 | |
---|
| 1765 | |
---|
| 1766 | if(rad_in) then |
---|
| 1767 | |
---|
| 1768 | WRITE(MF,*) " STOCHASTIC KICK " |
---|
| 1769 | |
---|
| 1770 | do i=1,6 |
---|
| 1771 | do j=1,6 |
---|
| 1772 | write(6,*) i,j,ds%e_ij(i,j) |
---|
| 1773 | enddo |
---|
| 1774 | enddo |
---|
| 1775 | else |
---|
| 1776 | |
---|
| 1777 | WRITE(MF,*) "NO STOCHASTIC KICK " |
---|
| 1778 | |
---|
| 1779 | endif |
---|
| 1780 | if(doing_ac_modulation_in_ptc) then |
---|
| 1781 | call print(ds%ac,mf) |
---|
| 1782 | else |
---|
| 1783 | WRITE(MF,*) "NO MODULATION " |
---|
| 1784 | |
---|
| 1785 | endif |
---|
| 1786 | |
---|
| 1787 | END subroutine print_probe8 |
---|
| 1788 | |
---|
| 1789 | subroutine print_rf_phasor_8(S,MF) |
---|
| 1790 | implicit none |
---|
| 1791 | TYPE(rf_phasor_8), INTENT(INOUT) :: s |
---|
| 1792 | INTEGER MF,I |
---|
| 1793 | |
---|
| 1794 | write(mf,*) ' AC INFORMATION ' |
---|
| 1795 | call print(s%om,mf) |
---|
| 1796 | call print(s%t,mf) |
---|
| 1797 | do i=1,2 |
---|
| 1798 | call print(s%x(i),mf) |
---|
| 1799 | enddo |
---|
| 1800 | |
---|
| 1801 | END subroutine print_rf_phasor_8 |
---|
| 1802 | |
---|
| 1803 | |
---|
| 1804 | subroutine print_spinor_8(S,MF) |
---|
| 1805 | implicit none |
---|
| 1806 | TYPE(spinor_8), INTENT(INOUT) :: s |
---|
| 1807 | INTEGER MF,I |
---|
| 1808 | |
---|
| 1809 | do i=1,3 |
---|
| 1810 | write(mf,*) ' Spin Variable ',i |
---|
| 1811 | call print(s%x(i),mf) |
---|
| 1812 | enddo |
---|
| 1813 | |
---|
| 1814 | END subroutine print_spinor_8 |
---|
| 1815 | |
---|
| 1816 | subroutine print_res_spinor_8(S,MF) |
---|
| 1817 | implicit none |
---|
| 1818 | TYPE(res_spinor_8), INTENT(INOUT) :: s |
---|
| 1819 | INTEGER MF,I |
---|
| 1820 | |
---|
| 1821 | do i=1,3 |
---|
| 1822 | write(mf,*) ' Spin Variable ',i |
---|
| 1823 | call print(s%x(i),mf) |
---|
| 1824 | enddo |
---|
| 1825 | |
---|
| 1826 | END subroutine print_res_spinor_8 |
---|
| 1827 | |
---|
| 1828 | subroutine read_spinor_8(S,MF) |
---|
| 1829 | implicit none |
---|
| 1830 | TYPE(spinor_8), INTENT(INOUT) :: s |
---|
| 1831 | INTEGER MF,I |
---|
| 1832 | character*255 line |
---|
| 1833 | type(taylor) t |
---|
| 1834 | call alloc(t) |
---|
| 1835 | |
---|
| 1836 | do i=1,3 |
---|
| 1837 | read(mf,'(a255)') line |
---|
| 1838 | call read(t,mf) |
---|
| 1839 | s%x(i)=morph(t) |
---|
| 1840 | enddo |
---|
| 1841 | |
---|
| 1842 | call kill(t) |
---|
| 1843 | |
---|
| 1844 | END subroutine read_spinor_8 |
---|
| 1845 | |
---|
| 1846 | subroutine READ_DASPIN(DS,MF,file) |
---|
| 1847 | implicit none |
---|
| 1848 | TYPE(damapspin), INTENT(INOUT) :: DS |
---|
| 1849 | INTEGER MF1,I,J,nd2 |
---|
| 1850 | CHARACTER*20 LINE |
---|
| 1851 | CHARACTER(*), optional :: file |
---|
| 1852 | INTEGER, optional :: MF |
---|
| 1853 | TYPE(TAYLOR) T |
---|
| 1854 | |
---|
| 1855 | if(present(mf)) mf1=mf |
---|
| 1856 | if(present(file)) then |
---|
| 1857 | call kanalnummer(mf1) |
---|
| 1858 | open(unit=mf1,file=file) |
---|
| 1859 | endif |
---|
| 1860 | CALL ALLOC(T) |
---|
| 1861 | |
---|
| 1862 | ! READ(MF,*) LINE |
---|
| 1863 | ! READ(MF,*) DS%X(1:3) |
---|
| 1864 | ! READ(MF,*) DS%X(4:6) |
---|
| 1865 | READ(MF1,*) nd2, LINE(1:7) |
---|
| 1866 | if(nd2>=c_%nd2) then |
---|
| 1867 | CALL READ(DS%M,MF1) |
---|
| 1868 | do i=c_%nd2+1,nd2 |
---|
| 1869 | call rea(t,mf1) |
---|
| 1870 | enddo |
---|
| 1871 | else |
---|
| 1872 | do i=1,nd2 |
---|
| 1873 | call read(ds%m%v(i),mf1) |
---|
| 1874 | enddo |
---|
| 1875 | do i=nd2+1,c_%nd2 |
---|
| 1876 | ds%m%v(i)=1.0_dp.mono.i |
---|
| 1877 | enddo |
---|
| 1878 | endif |
---|
| 1879 | READ(MF1,*) LINE |
---|
| 1880 | DO I=1,3 |
---|
| 1881 | DO J=1,3 |
---|
| 1882 | READ(MF1,*) LINE |
---|
| 1883 | CALL READ(T,MF1) |
---|
| 1884 | DS%S%s(I,J)=T !MORPH(T) |
---|
| 1885 | ENDDO |
---|
| 1886 | ENDDO |
---|
| 1887 | READ(MF1,*) LINE |
---|
| 1888 | DO I=1,3 |
---|
| 1889 | DO J=1,3 |
---|
| 1890 | READ(MF1,*) LINE |
---|
| 1891 | read(mf,*) ds%e_ij(i,j) |
---|
| 1892 | ENDDO |
---|
| 1893 | ENDDO |
---|
| 1894 | if(present(file)) close(mf1) |
---|
| 1895 | |
---|
| 1896 | CALL KILL(T) |
---|
| 1897 | END subroutine READ_DASPIN |
---|
| 1898 | |
---|
| 1899 | subroutine read_probe8(DS,MF) |
---|
| 1900 | implicit none |
---|
| 1901 | TYPE(probe_8), INTENT(INOUT) :: DS |
---|
| 1902 | INTEGER MF,I |
---|
| 1903 | character*120 line |
---|
| 1904 | type(taylor) t |
---|
| 1905 | call alloc(t) |
---|
| 1906 | |
---|
| 1907 | read(mf,*) line |
---|
| 1908 | do i=1,6 |
---|
| 1909 | read(mf,*) line |
---|
| 1910 | call read(t,mf) |
---|
| 1911 | ds%x(i)=morph(t) |
---|
| 1912 | enddo |
---|
| 1913 | do i=ISPIN0R,ISPIN1R |
---|
| 1914 | read(mf,'(a120)') line |
---|
| 1915 | call read(ds%s(i),mf) |
---|
| 1916 | enddo |
---|
| 1917 | |
---|
| 1918 | call kill(t) |
---|
| 1919 | |
---|
| 1920 | END subroutine read_probe8 |
---|
| 1921 | |
---|
| 1922 | |
---|
| 1923 | |
---|
| 1924 | !!! NOT USED NOW |
---|
| 1925 | subroutine CHECK_RES_ORBIT(J,NRES,M,SKIP) |
---|
| 1926 | implicit none |
---|
| 1927 | INTEGER M(:,:),NRES |
---|
| 1928 | LOGICAL(lp) SKIP,SKIP1,SKIP2 |
---|
| 1929 | INTEGER I,K,J(:) |
---|
| 1930 | |
---|
| 1931 | SKIP=.FALSE. |
---|
| 1932 | IF(NRES==0) RETURN |
---|
| 1933 | |
---|
| 1934 | DO I=1,NRES |
---|
| 1935 | SKIP1=.TRUE. |
---|
| 1936 | SKIP2=.TRUE. |
---|
| 1937 | DO K=1,C_%ND |
---|
| 1938 | SKIP1=((J(2*K)-J(2*K-1))==M(k,i)).AND.SKIP1 |
---|
| 1939 | SKIP2=((J(2*K)-J(2*K-1))==-M(k,i)).AND.SKIP2 |
---|
| 1940 | ENDDO |
---|
| 1941 | IF(SKIP1.OR.SKIP2) THEN |
---|
| 1942 | SKIP=.TRUE. |
---|
| 1943 | RETURN |
---|
| 1944 | ENDIF |
---|
| 1945 | ENDDO |
---|
| 1946 | |
---|
| 1947 | END subroutine CHECK_RES_ORBIT |
---|
| 1948 | |
---|
| 1949 | |
---|
| 1950 | |
---|
| 1951 | subroutine find_n_thetar(s0,n0) |
---|
| 1952 | implicit none |
---|
| 1953 | real(dp),intent(in) :: s0(3,3) |
---|
| 1954 | real(dp) theta0,n0(3) |
---|
| 1955 | real(dp) det,ss(3,3),detm |
---|
| 1956 | integer i,is,j |
---|
| 1957 | |
---|
| 1958 | |
---|
| 1959 | |
---|
| 1960 | |
---|
| 1961 | |
---|
| 1962 | do i=1,3 |
---|
| 1963 | do j=1,3 |
---|
| 1964 | ss(i,j)=s0(i,j) |
---|
| 1965 | enddo |
---|
| 1966 | enddo |
---|
| 1967 | |
---|
| 1968 | |
---|
| 1969 | |
---|
| 1970 | do i=1,3 |
---|
| 1971 | ss(i,i)=ss(i,i)-1.0_dp |
---|
| 1972 | enddo |
---|
| 1973 | det=(ss(2,2)*ss(3,3)-ss(2,3)*ss(3,2)) |
---|
| 1974 | is=1 |
---|
| 1975 | |
---|
| 1976 | detm=(ss(1,1)*ss(3,3)-ss(1,3)*ss(3,1)) |
---|
| 1977 | if(abs(detm)>=abs(det)) then |
---|
| 1978 | det=detm |
---|
| 1979 | is=2 |
---|
| 1980 | endif |
---|
| 1981 | detm=(ss(1,1)*ss(2,2)-ss(1,2)*ss(2,1)) |
---|
| 1982 | if(abs(detm)>=abs(det)) then |
---|
| 1983 | det=detm |
---|
| 1984 | is=3 |
---|
| 1985 | endif |
---|
| 1986 | |
---|
| 1987 | n0(is)=1.0_dp |
---|
| 1988 | if(is==1) then |
---|
| 1989 | n0(2)=(-ss(3,3)*ss(2,1)+ss(2,3)*ss(3,1))/det |
---|
| 1990 | n0(3)=(-ss(2,2)*ss(3,1)+ss(2,1)*ss(3,2))/det |
---|
| 1991 | elseif(is==2) then |
---|
| 1992 | n0(1)=(-ss(3,3)*ss(1,2)+ss(3,2)*ss(1,3))/det |
---|
| 1993 | n0(3)=(-ss(1,1)*ss(3,2)+ss(1,2)*ss(3,1))/det |
---|
| 1994 | else |
---|
| 1995 | n0(1)=(-ss(2,2)*ss(1,3)+ss(2,3)*ss(1,2))/det |
---|
| 1996 | n0(2)=(-ss(1,1)*ss(2,3)+ss(1,3)*ss(2,1))/det |
---|
| 1997 | endif |
---|
| 1998 | |
---|
| 1999 | |
---|
| 2000 | theta0=sqrt(n0(1)**2+n0(2)**2+n0(3)**2) |
---|
| 2001 | |
---|
| 2002 | do i=1,3 |
---|
| 2003 | n0(i)=n0(i)/theta0 |
---|
| 2004 | enddo |
---|
| 2005 | |
---|
| 2006 | |
---|
| 2007 | |
---|
| 2008 | |
---|
| 2009 | end subroutine find_n_thetar |
---|
| 2010 | |
---|
| 2011 | subroutine find_n_thetap(s0,n0) |
---|
| 2012 | implicit none |
---|
| 2013 | type(real_8),intent(in) :: s0(3,3) |
---|
| 2014 | |
---|
| 2015 | type(real_8) theta0,n0(3) |
---|
| 2016 | type(real_8) det,ss(3,3),detm |
---|
| 2017 | integer i,is,j |
---|
| 2018 | |
---|
| 2019 | |
---|
| 2020 | call alloc(det) |
---|
| 2021 | call alloc(detm) |
---|
| 2022 | call alloc(theta0) |
---|
| 2023 | call alloc_33(ss) |
---|
| 2024 | |
---|
| 2025 | |
---|
| 2026 | do i=1,3 |
---|
| 2027 | do j=1,3 |
---|
| 2028 | ss(i,j)=s0(i,j) |
---|
| 2029 | enddo |
---|
| 2030 | enddo |
---|
| 2031 | |
---|
| 2032 | |
---|
| 2033 | |
---|
| 2034 | do i=1,3 |
---|
| 2035 | ss(i,i)=ss(i,i)-1.0_dp |
---|
| 2036 | enddo |
---|
| 2037 | |
---|
| 2038 | det=(ss(2,2)*ss(3,3)-ss(2,3)*ss(3,2)) |
---|
| 2039 | is=1 |
---|
| 2040 | detm=(ss(1,1)*ss(3,3)-ss(1,3)*ss(3,1)) |
---|
| 2041 | if(abs(detm)>=abs(det)) then |
---|
| 2042 | det=detm |
---|
| 2043 | is=2 |
---|
| 2044 | endif |
---|
| 2045 | detm=ss(1,1)*ss(2,2)-ss(1,2)*ss(2,1) |
---|
| 2046 | if(abs(detm)>=abs(det)) then |
---|
| 2047 | det=detm |
---|
| 2048 | is=3 |
---|
| 2049 | endif |
---|
| 2050 | |
---|
| 2051 | |
---|
| 2052 | |
---|
| 2053 | n0(is)=1.0_dp |
---|
| 2054 | if(is==1) then |
---|
| 2055 | n0(2)=(-ss(3,3)*ss(2,1)+ss(2,3)*ss(3,1))/det |
---|
| 2056 | n0(3)=(-ss(2,2)*ss(3,1)+ss(2,1)*ss(3,2))/det |
---|
| 2057 | elseif(is==2) then |
---|
| 2058 | n0(1)=(-ss(3,3)*ss(1,2)+ss(3,2)*ss(1,3))/det |
---|
| 2059 | n0(3)=(-ss(1,1)*ss(3,2)+ss(1,2)*ss(3,1))/det |
---|
| 2060 | else |
---|
| 2061 | n0(1)=(-ss(2,2)*ss(1,3)+ss(2,3)*ss(1,2))/det |
---|
| 2062 | n0(2)=(-ss(1,1)*ss(2,3)+ss(1,3)*ss(2,1))/det |
---|
| 2063 | endif |
---|
| 2064 | |
---|
| 2065 | |
---|
| 2066 | theta0=sqrt(n0(1)**2+n0(2)**2+n0(3)**2) |
---|
| 2067 | |
---|
| 2068 | |
---|
| 2069 | do i=1,3 |
---|
| 2070 | n0(i)=n0(i)/theta0 |
---|
| 2071 | enddo |
---|
| 2072 | |
---|
| 2073 | |
---|
| 2074 | call kill(det) |
---|
| 2075 | call kill(detm) |
---|
| 2076 | call kill(theta0) |
---|
| 2077 | call kill_33(ss) |
---|
| 2078 | |
---|
| 2079 | end subroutine find_n_thetap |
---|
| 2080 | |
---|
| 2081 | ! find exponent of rotation routines |
---|
| 2082 | subroutine find_axisp(ds,H_axis) ! |
---|
| 2083 | implicit none |
---|
| 2084 | type(damapspin),intent(in) :: ds |
---|
| 2085 | type(spinor_8),intent(inout) :: H_axis |
---|
| 2086 | |
---|
| 2087 | type(real_8) theta0,n0(3) |
---|
| 2088 | type(real_8) det,ss(3,3),detm |
---|
| 2089 | integer i,is,j |
---|
| 2090 | |
---|
| 2091 | |
---|
| 2092 | call alloc(det) |
---|
| 2093 | call alloc(detm) |
---|
| 2094 | call alloc(theta0) |
---|
| 2095 | call alloc_33(ss) |
---|
| 2096 | call alloc(n0) |
---|
| 2097 | |
---|
| 2098 | |
---|
| 2099 | do i=1,3 |
---|
| 2100 | do j=1,3 |
---|
| 2101 | ss(i,j)=ds%s%s(i,j) |
---|
| 2102 | enddo |
---|
| 2103 | enddo |
---|
| 2104 | |
---|
| 2105 | |
---|
| 2106 | |
---|
| 2107 | do i=1,3 |
---|
| 2108 | ss(i,i)=ss(i,i)-1.0_dp |
---|
| 2109 | enddo |
---|
| 2110 | |
---|
| 2111 | det=(ss(2,2)*ss(3,3)-ss(2,3)*ss(3,2)) |
---|
| 2112 | is=1 |
---|
| 2113 | detm=(ss(1,1)*ss(3,3)-ss(1,3)*ss(3,1)) |
---|
| 2114 | if(abs(detm)>=abs(det)) then |
---|
| 2115 | det=detm |
---|
| 2116 | is=2 |
---|
| 2117 | endif |
---|
| 2118 | detm=ss(1,1)*ss(2,2)-ss(1,2)*ss(2,1) |
---|
| 2119 | if(abs(detm)>=abs(det)) then |
---|
| 2120 | det=detm |
---|
| 2121 | is=3 |
---|
| 2122 | endif |
---|
| 2123 | |
---|
| 2124 | |
---|
| 2125 | |
---|
| 2126 | n0(is)=1.0_dp |
---|
| 2127 | if(is==1) then |
---|
| 2128 | n0(2)=(-ss(3,3)*ss(2,1)+ss(2,3)*ss(3,1))/det |
---|
| 2129 | n0(3)=(-ss(2,2)*ss(3,1)+ss(2,1)*ss(3,2))/det |
---|
| 2130 | elseif(is==2) then |
---|
| 2131 | n0(1)=(-ss(3,3)*ss(1,2)+ss(3,2)*ss(1,3))/det |
---|
| 2132 | n0(3)=(-ss(1,1)*ss(3,2)+ss(1,2)*ss(3,1))/det |
---|
| 2133 | else |
---|
| 2134 | n0(1)=(-ss(2,2)*ss(1,3)+ss(2,3)*ss(1,2))/det |
---|
| 2135 | n0(2)=(-ss(1,1)*ss(2,3)+ss(1,3)*ss(2,1))/det |
---|
| 2136 | endif |
---|
| 2137 | |
---|
| 2138 | theta0=sqrt(n0(1)**2+n0(2)**2+n0(3)**2) |
---|
| 2139 | |
---|
| 2140 | do i=1,3 |
---|
| 2141 | n0(i)=n0(i)/theta0 |
---|
| 2142 | enddo |
---|
| 2143 | |
---|
| 2144 | h_axis%x(1)=n0(1); h_axis%x(2)=n0(2) ; h_axis%x(3)=n0(3); |
---|
| 2145 | |
---|
| 2146 | |
---|
| 2147 | |
---|
| 2148 | |
---|
| 2149 | |
---|
| 2150 | call kill(det) |
---|
| 2151 | call kill(detm) |
---|
| 2152 | call kill(theta0) |
---|
| 2153 | call kill_33(ss) |
---|
| 2154 | call kill(n0) |
---|
| 2155 | |
---|
| 2156 | end subroutine find_axisp |
---|
| 2157 | |
---|
| 2158 | subroutine find_perp_basisp(y_axis,x_axis,z_axis) ! |
---|
| 2159 | implicit none |
---|
| 2160 | type(spinor_8),intent(inout) :: y_axis,x_axis,z_axis |
---|
| 2161 | integer i,is |
---|
| 2162 | type(real_8) norm |
---|
| 2163 | |
---|
| 2164 | call alloc(norm) |
---|
| 2165 | |
---|
| 2166 | is=1 |
---|
| 2167 | if(abs(y_axis%x(is))>abs(y_axis%x(2))) then |
---|
| 2168 | is=2 |
---|
| 2169 | endif |
---|
| 2170 | if(abs(y_axis%x(is))>abs(y_axis%x(3))) then |
---|
| 2171 | is=3 |
---|
| 2172 | endif |
---|
| 2173 | |
---|
| 2174 | ! now is = smallest |
---|
| 2175 | |
---|
| 2176 | x_axis=is |
---|
| 2177 | |
---|
| 2178 | x_axis=x_axis-(x_axis.dot.y_axis)*y_axis |
---|
| 2179 | |
---|
| 2180 | norm=sqrt(x_axis.dot.x_axis) |
---|
| 2181 | x_axis=(1.d0/norm)*x_axis |
---|
| 2182 | |
---|
| 2183 | |
---|
| 2184 | |
---|
| 2185 | z_axis=x_axis*y_axis |
---|
| 2186 | norm=sqrt(z_axis.dot.z_axis) |
---|
| 2187 | z_axis=(1.d0/norm)*z_axis |
---|
| 2188 | |
---|
| 2189 | |
---|
| 2190 | |
---|
| 2191 | call kill(norm) |
---|
| 2192 | |
---|
| 2193 | end subroutine find_perp_basisp |
---|
| 2194 | |
---|
| 2195 | subroutine find_exponent_jet_p(ds,h_axis) ! |
---|
| 2196 | implicit none |
---|
| 2197 | type(damapspin),intent(inout) :: ds |
---|
| 2198 | type(spinor_8),intent(inout) :: h_axis |
---|
| 2199 | type(damapspin) s,sf,st,SA |
---|
| 2200 | integer i,nmax |
---|
| 2201 | real(dp) eps1,EPS0 |
---|
| 2202 | LOGICAL DONOT |
---|
| 2203 | nmax=1000 |
---|
| 2204 | call alloc(s,sf,st,SA) |
---|
| 2205 | |
---|
| 2206 | DONOT=.FALSE. |
---|
| 2207 | EPS0=MYBIG |
---|
| 2208 | |
---|
| 2209 | st=1 |
---|
| 2210 | s=ds |
---|
| 2211 | s%m=1 |
---|
| 2212 | sf=0 |
---|
| 2213 | do i=1,3 |
---|
| 2214 | s%s%s(i,i)=s%s%s(i,i)-1.0_dp |
---|
| 2215 | enddo |
---|
| 2216 | |
---|
| 2217 | st=s |
---|
| 2218 | do i=1,nmax |
---|
| 2219 | SA=SF |
---|
| 2220 | sf=sf + (1.0_dp/i)*st |
---|
| 2221 | st= s*st |
---|
| 2222 | st=(-1.0_dp)*st |
---|
| 2223 | SA=SA+((-1.0_dp)*SF) |
---|
| 2224 | eps1=FULL_ABS(SA) |
---|
| 2225 | IF(EPS1>deps_tracking) THEN |
---|
| 2226 | EPS0=EPS1 |
---|
| 2227 | ELSE |
---|
| 2228 | IF(EPS1>=EPS0.or.EPS1<=PUNY) THEN |
---|
| 2229 | DONOT=.TRUE. |
---|
| 2230 | ELSE |
---|
| 2231 | EPS0=EPS1 |
---|
| 2232 | ENDIF |
---|
| 2233 | ENDIF |
---|
| 2234 | |
---|
| 2235 | IF(DONOT) EXIT |
---|
| 2236 | |
---|
| 2237 | enddo |
---|
| 2238 | |
---|
| 2239 | if(i>nmax-2) then |
---|
| 2240 | write(6,*) "Did not converge in find_exponent_jet_p" |
---|
| 2241 | stop 666 |
---|
| 2242 | endif |
---|
| 2243 | |
---|
| 2244 | h_axis%x(1)=sf%s%s(3,2) |
---|
| 2245 | h_axis%x(2)=sf%s%s(1,3) |
---|
| 2246 | h_axis%x(3)=sf%s%s(2,1) |
---|
| 2247 | |
---|
| 2248 | !etienne |
---|
| 2249 | |
---|
| 2250 | |
---|
| 2251 | call kill(s,sf,st,SA) |
---|
| 2252 | end subroutine find_exponent_jet_p |
---|
| 2253 | |
---|
| 2254 | subroutine find_exponentp(ds,y_axis,x_axis,z_axis,h_axis,spin_tune) ! |
---|
| 2255 | implicit none |
---|
| 2256 | type(damapspin),intent(inout) :: ds |
---|
| 2257 | type(spinor_8),intent(inout) :: y_axis,x_axis,z_axis,h_axis |
---|
| 2258 | type(spinor_8) s |
---|
| 2259 | type(real_8) cos,sin,theta |
---|
| 2260 | type(real_8) , optional :: spin_tune |
---|
| 2261 | |
---|
| 2262 | call alloc(s) |
---|
| 2263 | call alloc(cos,sin,theta) |
---|
| 2264 | |
---|
| 2265 | call find_axis(ds,y_axis) |
---|
| 2266 | ! etienne |
---|
| 2267 | |
---|
| 2268 | call find_perp_basis(y_axis,x_axis,z_axis) |
---|
| 2269 | |
---|
| 2270 | |
---|
| 2271 | |
---|
| 2272 | s=ds*x_axis |
---|
| 2273 | |
---|
| 2274 | |
---|
| 2275 | cos=s.dot.x_axis |
---|
| 2276 | sin=-(s.dot.z_axis) |
---|
| 2277 | |
---|
| 2278 | theta=clockwise*atan2(sin,cos) |
---|
| 2279 | !if(force_positive.and.theta<zero) theta = theta + twopi !!!! allow negative theta |
---|
| 2280 | |
---|
| 2281 | h_axis=(clockwise*theta)*y_axis |
---|
| 2282 | |
---|
| 2283 | if(present(spin_tune)) then |
---|
| 2284 | spin_tune=(1.0_dp/twopi)*theta |
---|
| 2285 | endif |
---|
| 2286 | |
---|
| 2287 | call kill(cos,sin,theta) |
---|
| 2288 | call kill(s) |
---|
| 2289 | end subroutine find_exponentp |
---|
| 2290 | |
---|
| 2291 | subroutine find_exponent_only(ds,h_axis,spin_tune) ! |
---|
| 2292 | implicit none |
---|
| 2293 | type(damapspin),intent(inout) :: ds |
---|
| 2294 | type(spinor_8),intent(inout) :: h_axis |
---|
| 2295 | type(spinor_8) y_axis,x_axis,z_axis |
---|
| 2296 | type(spinor_8) s |
---|
| 2297 | type(real_8) cos,sin,theta |
---|
| 2298 | type(real_8) , optional :: spin_tune |
---|
| 2299 | |
---|
| 2300 | call alloc(s) |
---|
| 2301 | call alloc(cos,sin,theta) |
---|
| 2302 | call alloc(y_axis) |
---|
| 2303 | call alloc(x_axis) |
---|
| 2304 | call alloc(z_axis) |
---|
| 2305 | call find_axis(ds,y_axis) |
---|
| 2306 | ! etienne |
---|
| 2307 | |
---|
| 2308 | call find_perp_basis(y_axis,x_axis,z_axis) |
---|
| 2309 | |
---|
| 2310 | |
---|
| 2311 | |
---|
| 2312 | s=ds*x_axis |
---|
| 2313 | |
---|
| 2314 | |
---|
| 2315 | cos=s.dot.x_axis |
---|
| 2316 | sin=-(s.dot.z_axis) |
---|
| 2317 | |
---|
| 2318 | theta=clockwise*atan2(sin,cos) |
---|
| 2319 | !if(force_positive.and.theta<zero) theta = theta + twopi !!!! allow negative theta |
---|
| 2320 | |
---|
| 2321 | h_axis=(clockwise*theta)*y_axis |
---|
| 2322 | |
---|
| 2323 | if(present(spin_tune)) then |
---|
| 2324 | spin_tune=(1.0_dp/twopi)*theta |
---|
| 2325 | endif |
---|
| 2326 | |
---|
| 2327 | call kill(y_axis) |
---|
| 2328 | call kill(x_axis) |
---|
| 2329 | call kill(z_axis) |
---|
| 2330 | call kill(cos,sin,theta) |
---|
| 2331 | call kill(s) |
---|
| 2332 | end subroutine find_exponent_only |
---|
| 2333 | |
---|
| 2334 | subroutine remove_y_rot(as_xyz,r_y) |
---|
| 2335 | implicit none |
---|
| 2336 | type(damapspin), intent(inout) :: as_xyz |
---|
| 2337 | type(damapspin), optional , intent(inout) ::r_y |
---|
| 2338 | type(damapspin) temp,as_y,as_nl,rot_y |
---|
| 2339 | type(spinor_8) n_expo,n_tune |
---|
| 2340 | type(taylorresonance) tr |
---|
| 2341 | type(taylor) t |
---|
| 2342 | integer i,j |
---|
| 2343 | integer nmax |
---|
| 2344 | real(dp) c,eps,norm1,norm2 |
---|
| 2345 | logical check |
---|
| 2346 | !!! original as_xyz = as_xyz*r_y = a_y*a_nl*r_y on exit |
---|
| 2347 | check=.true. |
---|
| 2348 | eps=1.d-1 |
---|
| 2349 | nmax=1000 |
---|
| 2350 | |
---|
| 2351 | call alloc(n_expo) |
---|
| 2352 | call alloc(n_tune) |
---|
| 2353 | call alloc(temp,as_y,as_nl,rot_y) |
---|
| 2354 | call alloc(tr) |
---|
| 2355 | call alloc(t) |
---|
| 2356 | |
---|
| 2357 | as_y=as_xyz |
---|
| 2358 | |
---|
| 2359 | norm1=mybig |
---|
| 2360 | rot_y=1 |
---|
| 2361 | |
---|
| 2362 | check=.true. |
---|
| 2363 | norm1=mybig |
---|
| 2364 | do i=1,nmax |
---|
| 2365 | call find_exponent_only(as_y,n_expo) |
---|
| 2366 | ! call dalog_spinor_8(as_y,n_expo) |
---|
| 2367 | norm2=0.0_dp |
---|
| 2368 | n_tune%x(1)=0.0_dp |
---|
| 2369 | n_tune%x(3)=0.0_dp |
---|
| 2370 | ! do j=1,3 |
---|
| 2371 | j=2 ! do loop was a theory error |
---|
| 2372 | t=n_expo%x(j) |
---|
| 2373 | tr=t |
---|
| 2374 | call cfu(tr%cos,phase_shift,tr%cos) |
---|
| 2375 | tr%sin=0.0_dp |
---|
| 2376 | t=tr |
---|
| 2377 | n_tune%x(j)=t |
---|
| 2378 | ! enddo |
---|
| 2379 | temp=exp(n_tune) |
---|
| 2380 | |
---|
| 2381 | rot_y=temp*rot_y |
---|
| 2382 | call inv_as(temp%s%s,temp%s%s) |
---|
| 2383 | as_y=as_y*temp |
---|
| 2384 | if(check) then |
---|
| 2385 | if(norm2<eps) then |
---|
| 2386 | check=.false. |
---|
| 2387 | endif |
---|
| 2388 | else |
---|
| 2389 | if(norm2>=norm1) exit |
---|
| 2390 | endif |
---|
| 2391 | norm1=norm2 |
---|
| 2392 | |
---|
| 2393 | enddo |
---|
| 2394 | if(i>nmax-10) then |
---|
| 2395 | write(6,*) "no convergence in remove_y_rot " |
---|
| 2396 | stop 1067 |
---|
| 2397 | endif |
---|
| 2398 | as_xyz=as_y |
---|
| 2399 | if(present(r_y)) r_y=rot_y |
---|
| 2400 | |
---|
| 2401 | call kill(n_expo) |
---|
| 2402 | call kill(temp,as_y,as_nl,rot_y) |
---|
| 2403 | call kill(tr) |
---|
| 2404 | call kill(n_tune) |
---|
| 2405 | call kill(t) |
---|
| 2406 | |
---|
| 2407 | end subroutine remove_y_rot |
---|
| 2408 | |
---|
| 2409 | subroutine remove_y_rot0(as_xyz,a_y,a_nl,r_y) |
---|
| 2410 | implicit none |
---|
| 2411 | type(damapspin), intent(inout) :: as_xyz |
---|
| 2412 | type(damapspin), optional , intent(inout) :: a_y,a_nl,r_y |
---|
| 2413 | type(damapspin) temp,as_y,as_nl,rot_y |
---|
| 2414 | type(spinor_8) n_expo,n_tune |
---|
| 2415 | type(taylorresonance) tr |
---|
| 2416 | type(taylor) t |
---|
| 2417 | integer i,j |
---|
| 2418 | integer nmax |
---|
| 2419 | real(dp) c,eps,norm1,norm2 |
---|
| 2420 | logical check |
---|
| 2421 | !!! original as_xyz = as_xyz*r_y = a_y*a_nl*r_y on exit |
---|
| 2422 | check=.true. |
---|
| 2423 | eps=1.d-5 |
---|
| 2424 | nmax=1000 |
---|
| 2425 | |
---|
| 2426 | call alloc(n_expo) |
---|
| 2427 | call alloc(n_tune) |
---|
| 2428 | call alloc(temp,as_y,as_nl,rot_y) |
---|
| 2429 | call alloc(tr) |
---|
| 2430 | call alloc(t) |
---|
| 2431 | |
---|
| 2432 | call factor_parameter_dependent_s0(as_xyz,as_y,as_nl,n_expo,1) |
---|
| 2433 | |
---|
| 2434 | norm1=mybig |
---|
| 2435 | rot_y=1 |
---|
| 2436 | do i=1,nmax |
---|
| 2437 | call find_exponent_only(as_y,n_expo) |
---|
| 2438 | n_expo%x(1)=0.0_dp |
---|
| 2439 | n_expo%x(3)=0.0_dp |
---|
| 2440 | temp=exp(n_expo) |
---|
| 2441 | rot_y=temp*rot_y |
---|
| 2442 | call inv_as(temp%s%s,temp%s%s) |
---|
| 2443 | as_y=as_y*temp |
---|
| 2444 | call norm_spinor_8(n_expo,norm2) |
---|
| 2445 | if(check) then |
---|
| 2446 | if(norm2<eps) then |
---|
| 2447 | check=.false. |
---|
| 2448 | endif |
---|
| 2449 | else |
---|
| 2450 | if(norm2>=norm1) exit |
---|
| 2451 | endif |
---|
| 2452 | norm1=norm2 |
---|
| 2453 | enddo |
---|
| 2454 | if(i>nmax-10) then |
---|
| 2455 | write(6,*) "no convergence in daexplogp " |
---|
| 2456 | stop 1066 |
---|
| 2457 | endif |
---|
| 2458 | as_nl=rot_y*as_nl*rot_y**(-1) |
---|
| 2459 | |
---|
| 2460 | check=.true. |
---|
| 2461 | norm1=mybig |
---|
| 2462 | do i=1,nmax |
---|
| 2463 | call dalog_spinor_8(as_nl,n_expo) |
---|
| 2464 | norm2=0.0_dp |
---|
| 2465 | n_tune%x(1)=0.0_dp |
---|
| 2466 | n_tune%x(3)=0.0_dp |
---|
| 2467 | ! do j=1,3 |
---|
| 2468 | j=2 ! do loop was a theory error |
---|
| 2469 | t=n_expo%x(j) |
---|
| 2470 | tr=t |
---|
| 2471 | call cfu(tr%cos,phase_shift,tr%cos) |
---|
| 2472 | tr%sin=0.0_dp |
---|
| 2473 | t=tr |
---|
| 2474 | n_tune%x(j)=t |
---|
| 2475 | norm2=norm2+full_abs(t) |
---|
| 2476 | ! enddo |
---|
| 2477 | temp=exp(n_tune) |
---|
| 2478 | |
---|
| 2479 | rot_y=temp*rot_y |
---|
| 2480 | call inv_as(temp%s%s,temp%s%s) |
---|
| 2481 | as_nl=as_nl*temp |
---|
| 2482 | if(check) then |
---|
| 2483 | if(norm2<eps) then |
---|
| 2484 | check=.false. |
---|
| 2485 | endif |
---|
| 2486 | else |
---|
| 2487 | if(norm2>=norm1) exit |
---|
| 2488 | endif |
---|
| 2489 | norm1=norm2 |
---|
| 2490 | |
---|
| 2491 | enddo |
---|
| 2492 | |
---|
| 2493 | if(i>nmax-10) then |
---|
| 2494 | write(6,*) "no convergence in daexplogp " |
---|
| 2495 | stop 1067 |
---|
| 2496 | endif |
---|
| 2497 | as_xyz=as_y*as_nl |
---|
| 2498 | if(present(r_y)) r_y=rot_y |
---|
| 2499 | if(present(a_y)) a_y=as_y |
---|
| 2500 | if(present(a_nl)) a_nl=as_nl |
---|
| 2501 | |
---|
| 2502 | call kill(n_expo) |
---|
| 2503 | call kill(temp,as_y,as_nl,rot_y) |
---|
| 2504 | call kill(tr) |
---|
| 2505 | call kill(n_tune) |
---|
| 2506 | call kill(t) |
---|
| 2507 | |
---|
| 2508 | end subroutine remove_y_rot0 |
---|
| 2509 | |
---|
| 2510 | subroutine daexplogp(h_axis,ds) |
---|
| 2511 | implicit none |
---|
| 2512 | TYPE(damapspin), INTENT(INout) :: DS |
---|
| 2513 | TYPE(spinor_8), INTENT(IN) :: h_axis |
---|
| 2514 | integer nmax |
---|
| 2515 | integer i |
---|
| 2516 | TYPE(damapspin) dh,dhn,dr |
---|
| 2517 | real(dp) c,eps,norm1,norm2 |
---|
| 2518 | logical check |
---|
| 2519 | |
---|
| 2520 | check=.true. |
---|
| 2521 | eps=1.d-5 |
---|
| 2522 | nmax=1000 |
---|
| 2523 | |
---|
| 2524 | call alloc(dh) |
---|
| 2525 | call alloc(dhn) |
---|
| 2526 | call alloc(dr) |
---|
| 2527 | |
---|
| 2528 | ! this only works with a da-map |
---|
| 2529 | ds=1 |
---|
| 2530 | dh%m=1 |
---|
| 2531 | dh%s%s(2,1)=h_axis%x(3) |
---|
| 2532 | dh%s%s(1,3)=h_axis%x(2) |
---|
| 2533 | dh%s%s(3,2)=h_axis%x(1) |
---|
| 2534 | dh%s%s(1,2)=-h_axis%x(3) |
---|
| 2535 | dh%s%s(3,1)=-h_axis%x(2) |
---|
| 2536 | dh%s%s(2,3)=-h_axis%x(1) |
---|
| 2537 | dhn=1 |
---|
| 2538 | c=1.0_dp |
---|
| 2539 | norm1=mybig |
---|
| 2540 | do i=1,nmax |
---|
| 2541 | dhn=dhn*dh |
---|
| 2542 | c=c/i |
---|
| 2543 | dr=ds |
---|
| 2544 | ds=ds+c*dhn |
---|
| 2545 | dr=ds+(-1.0_dp)*dr |
---|
| 2546 | call norm_damapspin(dr,norm2) |
---|
| 2547 | if(check) then |
---|
| 2548 | if(norm2<eps) then |
---|
| 2549 | check=.false. |
---|
| 2550 | endif |
---|
| 2551 | else |
---|
| 2552 | if(norm2>=norm1) exit |
---|
| 2553 | endif |
---|
| 2554 | norm1=norm2 |
---|
| 2555 | enddo |
---|
| 2556 | |
---|
| 2557 | if(i>nmax-10) then |
---|
| 2558 | write(6,*) "no convergence in daexplogp " |
---|
| 2559 | stop 1066 |
---|
| 2560 | endif |
---|
| 2561 | |
---|
| 2562 | call kill(dh) |
---|
| 2563 | call kill(dhn) |
---|
| 2564 | call kill(dr) |
---|
| 2565 | |
---|
| 2566 | end subroutine daexplogp |
---|
| 2567 | |
---|
| 2568 | subroutine norm_damapspin(ds,norm) |
---|
| 2569 | implicit none |
---|
| 2570 | TYPE(damapspin), INTENT(INout) :: DS |
---|
| 2571 | real(dp) norm |
---|
| 2572 | integer i,j |
---|
| 2573 | |
---|
| 2574 | norm=0.0_dp |
---|
| 2575 | |
---|
| 2576 | do i=1,3 |
---|
| 2577 | do j=1,3 |
---|
| 2578 | norm=norm+full_abs( ds%s%s(i,j) ) |
---|
| 2579 | enddo |
---|
| 2580 | enddo |
---|
| 2581 | |
---|
| 2582 | end subroutine norm_damapspin |
---|
| 2583 | |
---|
| 2584 | subroutine norm_spinor_8(s,norm) |
---|
| 2585 | implicit none |
---|
| 2586 | TYPE(spinor_8), INTENT(INout) :: s |
---|
| 2587 | real(dp) norm |
---|
| 2588 | integer i |
---|
| 2589 | |
---|
| 2590 | norm=0.0_dp |
---|
| 2591 | |
---|
| 2592 | do i=1,3 |
---|
| 2593 | norm=norm+full_abs( s%x(i) ) |
---|
| 2594 | enddo |
---|
| 2595 | |
---|
| 2596 | end subroutine norm_spinor_8 |
---|
| 2597 | |
---|
| 2598 | ! end of find exponent of rotation routines |
---|
| 2599 | |
---|
| 2600 | |
---|
| 2601 | subroutine find_ar(n2,a) |
---|
| 2602 | implicit none |
---|
| 2603 | real(dp) n2(3),n1(3),n3(3) |
---|
| 2604 | real(dp) a(3,3),s,n |
---|
| 2605 | integer i,is |
---|
| 2606 | |
---|
| 2607 | ! here we find smallest value of n2 |
---|
| 2608 | is=2 |
---|
| 2609 | if(abs(n2(1))< abs(n2(2))) is=1 |
---|
| 2610 | |
---|
| 2611 | if(is==1) then |
---|
| 2612 | if(abs(n2(3))<abs(n2(1))) is=3 |
---|
| 2613 | else |
---|
| 2614 | if(abs(n2(3))<abs(n2(2))) is=3 |
---|
| 2615 | endif |
---|
| 2616 | |
---|
| 2617 | ! put n1 in along that value |
---|
| 2618 | n1=0.0_dp |
---|
| 2619 | n1(is)=1.0_dp |
---|
| 2620 | |
---|
| 2621 | s=n2(is)*n1(is) |
---|
| 2622 | |
---|
| 2623 | n=0.0_dp |
---|
| 2624 | do i=1,3 |
---|
| 2625 | n1(i)=n1(i)-s*n2(i) |
---|
| 2626 | n=n1(i)**2+n |
---|
| 2627 | enddo |
---|
| 2628 | n1=n1/sqrt(n) |
---|
| 2629 | |
---|
| 2630 | n3(1)=n1(2)*n2(3)-n1(3)*n2(2) |
---|
| 2631 | n3(2)=n1(3)*n2(1)-n1(1)*n2(3) |
---|
| 2632 | n3(3)=n1(1)*n2(2)-n1(2)*n2(1) |
---|
| 2633 | |
---|
| 2634 | n=0.0_dp |
---|
| 2635 | do i=1,3 |
---|
| 2636 | n=n3(i)**2+n |
---|
| 2637 | enddo |
---|
| 2638 | n3=n3/sqrt(n) |
---|
| 2639 | ! spin_normal_position |
---|
| 2640 | |
---|
| 2641 | ! a=zero |
---|
| 2642 | if(spin_normal_position==2) then |
---|
| 2643 | a(:,1)=n1 |
---|
| 2644 | a(:,2)=n2 |
---|
| 2645 | a(:,3)=n3 |
---|
| 2646 | elseif(spin_normal_position==3) then |
---|
| 2647 | a(:,2)=n1 |
---|
| 2648 | a(:,3)=n2 |
---|
| 2649 | a(:,1)=n3 |
---|
| 2650 | else |
---|
| 2651 | a(:,3)=n1 |
---|
| 2652 | a(:,1)=n2 |
---|
| 2653 | a(:,2)=n3 |
---|
| 2654 | endif |
---|
| 2655 | |
---|
| 2656 | |
---|
| 2657 | end subroutine find_ar |
---|
| 2658 | |
---|
| 2659 | subroutine find_ap(n2,a) |
---|
| 2660 | implicit none |
---|
| 2661 | type(real_8) n2(3),n1(3),n3(3) |
---|
| 2662 | type(real_8) a(3,3),s,n |
---|
| 2663 | real(dp) aa(3,3) |
---|
| 2664 | integer j |
---|
| 2665 | integer i,is |
---|
| 2666 | call alloc(n1,3) |
---|
| 2667 | call alloc(n3,3) |
---|
| 2668 | call alloc(s,n) |
---|
| 2669 | ! here we find smallest value of n2 |
---|
| 2670 | is=2 |
---|
| 2671 | if(abs(n2(1))< abs(n2(2))) is=1 |
---|
| 2672 | |
---|
| 2673 | if(is==1) then |
---|
| 2674 | if(abs(n2(3))<abs(n2(1))) is=3 |
---|
| 2675 | else |
---|
| 2676 | if(abs(n2(3))<abs(n2(2))) is=3 |
---|
| 2677 | endif |
---|
| 2678 | |
---|
| 2679 | ! put n1 in along that value |
---|
| 2680 | do i=1,3 |
---|
| 2681 | n1(i)=0.0_dp |
---|
| 2682 | enddo |
---|
| 2683 | n1(is)=1.0_dp |
---|
| 2684 | |
---|
| 2685 | s=n2(is)*n1(is) |
---|
| 2686 | |
---|
| 2687 | n=0.0_dp |
---|
| 2688 | do i=1,3 |
---|
| 2689 | n1(i)=n1(i)-s*n2(i) |
---|
| 2690 | n=n1(i)**2+n |
---|
| 2691 | enddo |
---|
| 2692 | do i=1,3 |
---|
| 2693 | n1(i)=n1(i)/sqrt(n) |
---|
| 2694 | enddo |
---|
| 2695 | |
---|
| 2696 | n3(1)=n1(2)*n2(3)-n1(3)*n2(2) |
---|
| 2697 | n3(2)=n1(3)*n2(1)-n1(1)*n2(3) |
---|
| 2698 | n3(3)=n1(1)*n2(2)-n1(2)*n2(1) |
---|
| 2699 | |
---|
| 2700 | n=0.0_dp |
---|
| 2701 | do i=1,3 |
---|
| 2702 | n=n3(i)**2+n |
---|
| 2703 | enddo |
---|
| 2704 | do i=1,3 |
---|
| 2705 | n3(i)=n3(i)/sqrt(n) |
---|
| 2706 | enddo |
---|
| 2707 | |
---|
| 2708 | if(spin_normal_position==2) then |
---|
| 2709 | do i=1,3 |
---|
| 2710 | a(i,1)=n1(i) |
---|
| 2711 | a(i,2)=n2(i) |
---|
| 2712 | a(i,3)=n3(i) |
---|
| 2713 | enddo |
---|
| 2714 | elseif(spin_normal_position==3) then |
---|
| 2715 | do i=1,3 |
---|
| 2716 | a(i,2)=n1(i) |
---|
| 2717 | a(i,3)=n2(i) |
---|
| 2718 | a(i,1)=n3(i) |
---|
| 2719 | enddo |
---|
| 2720 | else |
---|
| 2721 | do i=1,3 |
---|
| 2722 | a(i,3)=n1(i) |
---|
| 2723 | a(i,1)=n2(i) |
---|
| 2724 | a(i,2)=n3(i) |
---|
| 2725 | enddo |
---|
| 2726 | endif |
---|
| 2727 | |
---|
| 2728 | |
---|
| 2729 | call kill(n1,3) |
---|
| 2730 | call kill(n3,3) |
---|
| 2731 | call kill(s,n) |
---|
| 2732 | end subroutine find_ap |
---|
| 2733 | |
---|
| 2734 | |
---|
| 2735 | |
---|
| 2736 | subroutine copy_damap_matrix(mi,a) |
---|
| 2737 | implicit none |
---|
| 2738 | type(taylor), intent(inout) :: a(:,:) |
---|
| 2739 | type(damap), intent(in) :: mi |
---|
| 2740 | type(damap) m |
---|
| 2741 | |
---|
| 2742 | integer i,j,nt |
---|
| 2743 | logical doflip |
---|
| 2744 | integer, allocatable :: jl(:) |
---|
| 2745 | |
---|
| 2746 | call alloc(m) |
---|
| 2747 | |
---|
| 2748 | m=mi |
---|
| 2749 | |
---|
| 2750 | if(perform_flip.and.new_ndpt.and.c_%ndpt/=0) then |
---|
| 2751 | perform_flip=.false. |
---|
| 2752 | call flip_damap(m,m) |
---|
| 2753 | doflip=.true. |
---|
| 2754 | else |
---|
| 2755 | doflip=.false. |
---|
| 2756 | endif |
---|
| 2757 | nt=c_%nd2 |
---|
| 2758 | if(c_%ndpt/=0)nt=nt-2 |
---|
| 2759 | |
---|
| 2760 | allocate(jl(nt)) |
---|
| 2761 | jl=0 |
---|
| 2762 | do i=1,min(nt,size(a,dim=1)) |
---|
| 2763 | do j=1,min(nt,size(a,dim=2)) |
---|
| 2764 | jl(j)=1 |
---|
| 2765 | a(i,j)=m%v(i).par.jl |
---|
| 2766 | jl(j)=0 |
---|
| 2767 | enddo |
---|
| 2768 | enddo |
---|
| 2769 | |
---|
| 2770 | if(doflip) then |
---|
| 2771 | call flip_damap(m,m) |
---|
| 2772 | perform_flip=.true. |
---|
| 2773 | endif |
---|
| 2774 | |
---|
| 2775 | call kill(m) |
---|
| 2776 | deallocate(jl) |
---|
| 2777 | |
---|
| 2778 | end subroutine copy_damap_matrix |
---|
| 2779 | |
---|
| 2780 | subroutine copy_matrix_matrix(ma,a) |
---|
| 2781 | implicit none |
---|
| 2782 | type(taylor), intent(inout) :: a(:,:) |
---|
| 2783 | type(taylor), intent(in) :: ma(:,:) |
---|
| 2784 | integer i,j |
---|
| 2785 | |
---|
| 2786 | do i=1,size(a,dim=1) |
---|
| 2787 | do j=1,size(a,dim=2) |
---|
| 2788 | a(i,j)=ma(i,j) |
---|
| 2789 | enddo |
---|
| 2790 | enddo |
---|
| 2791 | |
---|
| 2792 | end subroutine copy_matrix_matrix |
---|
| 2793 | |
---|
| 2794 | |
---|
| 2795 | |
---|
| 2796 | subroutine alloc_33t(a) |
---|
| 2797 | implicit none |
---|
| 2798 | type(taylor) a(:,:) |
---|
| 2799 | integer i,j |
---|
| 2800 | |
---|
| 2801 | do i=1,size(a,dim=1) |
---|
| 2802 | do j=1,size(a,dim=2) |
---|
| 2803 | call alloc(a(i,j)) |
---|
| 2804 | enddo |
---|
| 2805 | enddo |
---|
| 2806 | |
---|
| 2807 | end subroutine alloc_33t |
---|
| 2808 | |
---|
| 2809 | subroutine kill_33t(a) |
---|
| 2810 | implicit none |
---|
| 2811 | type(taylor) a(:,:) |
---|
| 2812 | integer i,j |
---|
| 2813 | |
---|
| 2814 | do i=1,size(a,dim=1) |
---|
| 2815 | do j=1,size(a,dim=2) |
---|
| 2816 | call kill(a(i,j)) |
---|
| 2817 | enddo |
---|
| 2818 | enddo |
---|
| 2819 | |
---|
| 2820 | end subroutine kill_33t |
---|
| 2821 | |
---|
| 2822 | subroutine zero_33t(a,r) |
---|
| 2823 | implicit none |
---|
| 2824 | type(taylor) a(:,:) ! taylor |
---|
| 2825 | ! type(taylor) a(3,3) |
---|
| 2826 | integer i,j |
---|
| 2827 | real(dp), optional :: r |
---|
| 2828 | |
---|
| 2829 | do i=1,size(a,dim=1) |
---|
| 2830 | do j=1,size(a,dim=2) |
---|
| 2831 | a(i,j)=0.0_dp |
---|
| 2832 | enddo |
---|
| 2833 | if(present(r)) a(i,i)=1.0_dp |
---|
| 2834 | enddo |
---|
| 2835 | end subroutine zero_33t |
---|
| 2836 | |
---|
| 2837 | subroutine zero_33p(a,r) |
---|
| 2838 | implicit none |
---|
| 2839 | type(real_8) a(:,:) ! taylor |
---|
| 2840 | ! type(taylor) a(3,3) |
---|
| 2841 | integer i,j |
---|
| 2842 | real(dp), optional :: r |
---|
| 2843 | |
---|
| 2844 | do i=1,size(a,dim=1) |
---|
| 2845 | do j=1,size(a,dim=2) |
---|
| 2846 | a(i,j)=0.0_dp |
---|
| 2847 | enddo |
---|
| 2848 | if(present(r)) a(i,i)=1.0_dp |
---|
| 2849 | enddo |
---|
| 2850 | |
---|
| 2851 | end subroutine zero_33p |
---|
| 2852 | |
---|
| 2853 | subroutine alloc_33p(a) |
---|
| 2854 | implicit none |
---|
| 2855 | type(real_8) a(:,:) ! taylor |
---|
| 2856 | integer i,j |
---|
| 2857 | |
---|
| 2858 | do i=1,size(a,dim=1) |
---|
| 2859 | do j=1,size(a,dim=2) |
---|
| 2860 | call alloc(a(i,j)) |
---|
| 2861 | enddo |
---|
| 2862 | enddo |
---|
| 2863 | |
---|
| 2864 | end subroutine alloc_33p |
---|
| 2865 | |
---|
| 2866 | subroutine kill_33p(a) |
---|
| 2867 | implicit none |
---|
| 2868 | type(real_8) a(:,:) |
---|
| 2869 | integer i,j |
---|
| 2870 | |
---|
| 2871 | do i=1,size(a,dim=1) |
---|
| 2872 | do j=1,size(a,dim=2) |
---|
| 2873 | call kill(a(i,j)) |
---|
| 2874 | enddo |
---|
| 2875 | enddo |
---|
| 2876 | |
---|
| 2877 | end subroutine kill_33p |
---|
| 2878 | |
---|
| 2879 | subroutine matmul_33(m,n,mo,sc) |
---|
| 2880 | implicit none |
---|
| 2881 | type(taylor) m(:,:),n(:,:),mo(:,:) |
---|
| 2882 | type(taylor), allocatable :: a(:,:) |
---|
| 2883 | real(dp), optional :: sc |
---|
| 2884 | real(dp) sc0 |
---|
| 2885 | integer i,j,k |
---|
| 2886 | sc0=1.0_dp |
---|
| 2887 | allocate(a(size(m,dim=1),size(n,dim=2))) |
---|
| 2888 | |
---|
| 2889 | call alloc_33(a) |
---|
| 2890 | |
---|
| 2891 | do i=1,size(m,dim=1) |
---|
| 2892 | do j=1,size(m,dim=2) |
---|
| 2893 | do k=1,size(n,dim=2) |
---|
| 2894 | a(i,k)=m(i,j)*n(j,k)+a(i,k) |
---|
| 2895 | enddo |
---|
| 2896 | enddo |
---|
| 2897 | enddo |
---|
| 2898 | |
---|
| 2899 | if(present(sc)) sc0=sc |
---|
| 2900 | do i=1,size(mo,dim=1) |
---|
| 2901 | do j=1,size(mo,dim=2) |
---|
| 2902 | mo(i,j)=sc0*a(i,j) |
---|
| 2903 | enddo |
---|
| 2904 | enddo |
---|
| 2905 | call kill_33(a) |
---|
| 2906 | deallocate(a) |
---|
| 2907 | end subroutine matmul_33 |
---|
| 2908 | |
---|
| 2909 | subroutine matmul_3344(m,n,mo) |
---|
| 2910 | implicit none |
---|
| 2911 | type(taylor) m(:,:),n(:,:),mo(:,:) |
---|
| 2912 | type(taylor), allocatable :: a(:,:) |
---|
| 2913 | integer i,j,k |
---|
| 2914 | |
---|
| 2915 | allocate(a(size(m,dim=1),size(n,dim=2))) |
---|
| 2916 | |
---|
| 2917 | call alloc_33(a) |
---|
| 2918 | |
---|
| 2919 | do i=1,size(m,dim=1) |
---|
| 2920 | do j=1,size(m,dim=2) |
---|
| 2921 | do k=1,size(n,dim=2) |
---|
| 2922 | a(i,k)=m(i,j)*n(j,k)+a(i,k) |
---|
| 2923 | enddo |
---|
| 2924 | enddo |
---|
| 2925 | enddo |
---|
| 2926 | |
---|
| 2927 | |
---|
| 2928 | do i=1,size(mo,dim=1) |
---|
| 2929 | do j=1,size(mo,dim=2) |
---|
| 2930 | mo(i,j)=a(i,j) |
---|
| 2931 | enddo |
---|
| 2932 | enddo |
---|
| 2933 | call kill_33(a) |
---|
| 2934 | deallocate(a) |
---|
| 2935 | end subroutine matmul_3344 |
---|
| 2936 | |
---|
| 2937 | subroutine matmulp(m,n,mo) |
---|
| 2938 | implicit none |
---|
| 2939 | type(real_8) m(3,3),n(3,3),mo(3,3),a(3,3) |
---|
| 2940 | integer i,j,k |
---|
| 2941 | |
---|
| 2942 | |
---|
| 2943 | call alloc_33(a) |
---|
| 2944 | |
---|
| 2945 | do i=1,3 |
---|
| 2946 | do j=1,3 |
---|
| 2947 | do k=1,3 |
---|
| 2948 | a(i,k)=m(i,j)*n(j,k)+a(i,k) |
---|
| 2949 | enddo |
---|
| 2950 | enddo |
---|
| 2951 | enddo |
---|
| 2952 | |
---|
| 2953 | |
---|
| 2954 | do i=1,3 |
---|
| 2955 | do j=1,3 |
---|
| 2956 | mo(i,j)=a(i,j) |
---|
| 2957 | enddo |
---|
| 2958 | enddo |
---|
| 2959 | call kill_33(a) |
---|
| 2960 | |
---|
| 2961 | end subroutine matmulp |
---|
| 2962 | |
---|
| 2963 | subroutine smatmulp(sc,m,n,mo) |
---|
| 2964 | implicit none |
---|
| 2965 | type(real_8) m(3,3),n(3,3),mo(3,3),a(3,3) |
---|
| 2966 | integer i,j |
---|
| 2967 | real(dp) sc |
---|
| 2968 | |
---|
| 2969 | call alloc_33(a) |
---|
| 2970 | |
---|
| 2971 | do i=1,3 |
---|
| 2972 | do j=1,3 |
---|
| 2973 | a(i,j)=m(i,j)*sc+n(i,j) |
---|
| 2974 | enddo |
---|
| 2975 | enddo |
---|
| 2976 | |
---|
| 2977 | |
---|
| 2978 | do i=1,3 |
---|
| 2979 | do j=1,3 |
---|
| 2980 | mo(i,j)=a(i,j) |
---|
| 2981 | enddo |
---|
| 2982 | enddo |
---|
| 2983 | call kill_33(a) |
---|
| 2984 | |
---|
| 2985 | end subroutine smatmulp |
---|
| 2986 | |
---|
| 2987 | subroutine smatp(sc,m,mo) |
---|
| 2988 | implicit none |
---|
| 2989 | type(real_8) m(3,3),mo(3,3),a(3,3) |
---|
| 2990 | integer i,j |
---|
| 2991 | real(dp) sc |
---|
| 2992 | |
---|
| 2993 | call alloc_33(a) |
---|
| 2994 | |
---|
| 2995 | do i=1,3 |
---|
| 2996 | do j=1,3 |
---|
| 2997 | a(i,j)=m(i,j)*sc |
---|
| 2998 | enddo |
---|
| 2999 | enddo |
---|
| 3000 | |
---|
| 3001 | |
---|
| 3002 | do i=1,3 |
---|
| 3003 | do j=1,3 |
---|
| 3004 | mo(i,j)=a(i,j) |
---|
| 3005 | enddo |
---|
| 3006 | enddo |
---|
| 3007 | call kill_33(a) |
---|
| 3008 | |
---|
| 3009 | end subroutine smatp |
---|
| 3010 | |
---|
| 3011 | |
---|
| 3012 | subroutine make_unitary_p(m) |
---|
| 3013 | ! inverse 3x3 rrotation |
---|
| 3014 | implicit none |
---|
| 3015 | integer i, nmax |
---|
| 3016 | type(real_8) m(3,3) |
---|
| 3017 | type(real_8) mt(3,3),id(3,3) |
---|
| 3018 | real(dp) r,eps,rb |
---|
| 3019 | logical doit |
---|
| 3020 | |
---|
| 3021 | doit=.true. |
---|
| 3022 | nmax=100 |
---|
| 3023 | eps=1.e-4_dp |
---|
| 3024 | call alloc_33(mt) |
---|
| 3025 | call alloc_33(id) |
---|
| 3026 | |
---|
| 3027 | do i=1,3 |
---|
| 3028 | id(i,i)=1.5e0_dp |
---|
| 3029 | enddo |
---|
| 3030 | |
---|
| 3031 | rb=mybig |
---|
| 3032 | |
---|
| 3033 | do i=1,nmax |
---|
| 3034 | call transpose_p(m,mt) |
---|
| 3035 | |
---|
| 3036 | call matmulp(m,mt,mt) |
---|
| 3037 | |
---|
| 3038 | call smatp(-0.5_dp,mt,mt) |
---|
| 3039 | |
---|
| 3040 | call smatmulp(1.0_dp,mt,id,mt) |
---|
| 3041 | |
---|
| 3042 | call matmulp(mt,m,m) |
---|
| 3043 | |
---|
| 3044 | call transpose_p(m,mt) |
---|
| 3045 | call matmulp(mt,m,mt) |
---|
| 3046 | call smatmulp(-1.0_dp/1.5e0_dp,id,mt,mt) |
---|
| 3047 | call absolute_p(mt,r) |
---|
| 3048 | if(r<eps.and.doit) then |
---|
| 3049 | doit=.false. |
---|
| 3050 | rb=r |
---|
| 3051 | else |
---|
| 3052 | if(rb<=r) exit |
---|
| 3053 | rb=r |
---|
| 3054 | endif |
---|
| 3055 | enddo |
---|
| 3056 | |
---|
| 3057 | if(i>=nmax) then |
---|
| 3058 | write(6,*) " Too many iterations " |
---|
| 3059 | write(6,*) " Perhaps did not converged in make_unitary_p " |
---|
| 3060 | |
---|
| 3061 | endif |
---|
| 3062 | |
---|
| 3063 | call kill_33(id) |
---|
| 3064 | call kill_33(mt) |
---|
| 3065 | |
---|
| 3066 | end subroutine make_unitary_p |
---|
| 3067 | |
---|
| 3068 | subroutine check_unitary_p(m,r,rt,cc) |
---|
| 3069 | ! inverse 3x3 rrotation |
---|
| 3070 | implicit none |
---|
| 3071 | integer i, j,c |
---|
| 3072 | type(real_8) m(3,3) |
---|
| 3073 | type(real_8) mt(3,3) |
---|
| 3074 | real(dp) r,rt |
---|
| 3075 | integer, optional :: cc |
---|
| 3076 | |
---|
| 3077 | c=c_%no+1 |
---|
| 3078 | if(present(cc)) c=cc |
---|
| 3079 | |
---|
| 3080 | call alloc_33(mt) |
---|
| 3081 | |
---|
| 3082 | r=0.0_dp |
---|
| 3083 | rt=0.0_dp |
---|
| 3084 | call transpose_p(m,mt) |
---|
| 3085 | |
---|
| 3086 | call matmulp(m,mt,mt) |
---|
| 3087 | |
---|
| 3088 | do i=1,3 |
---|
| 3089 | do j=1,3 |
---|
| 3090 | |
---|
| 3091 | r=r+abs(mt(i,j)) |
---|
| 3092 | rt=rt+full_abs(mt(i,j).cut.c) |
---|
| 3093 | enddo |
---|
| 3094 | enddo |
---|
| 3095 | |
---|
| 3096 | |
---|
| 3097 | |
---|
| 3098 | call kill_33(mt) |
---|
| 3099 | |
---|
| 3100 | end subroutine check_unitary_p |
---|
| 3101 | |
---|
| 3102 | |
---|
| 3103 | subroutine absolute_p(m,r) |
---|
| 3104 | implicit none |
---|
| 3105 | integer i,j |
---|
| 3106 | type(real_8) m(3,3) |
---|
| 3107 | real(dp) r |
---|
| 3108 | |
---|
| 3109 | r=0.0_dp |
---|
| 3110 | |
---|
| 3111 | do i=1,3 |
---|
| 3112 | do j=1,3 |
---|
| 3113 | r=r+full_abs(m(i,j)) |
---|
| 3114 | enddo |
---|
| 3115 | enddo |
---|
| 3116 | |
---|
| 3117 | end subroutine absolute_p |
---|
| 3118 | |
---|
| 3119 | subroutine transpose_p(m,mi) |
---|
| 3120 | ! inverse 3x3 rrotation |
---|
| 3121 | implicit none |
---|
| 3122 | integer i,j |
---|
| 3123 | type(real_8), INTENT(INOUT) :: m(3,3),mi(3,3) |
---|
| 3124 | type(real_8) mt(3,3) |
---|
| 3125 | |
---|
| 3126 | call alloc_33(mt) |
---|
| 3127 | |
---|
| 3128 | call smatp(1.0_dp,m,mt) |
---|
| 3129 | |
---|
| 3130 | do i=1,3 |
---|
| 3131 | do j=1,3 |
---|
| 3132 | mi(j,i)=mt(i,j) |
---|
| 3133 | enddo |
---|
| 3134 | enddo |
---|
| 3135 | |
---|
| 3136 | call kill_33(mt) |
---|
| 3137 | |
---|
| 3138 | end subroutine transpose_p |
---|
| 3139 | |
---|
| 3140 | subroutine inv_asr(m,mi) |
---|
| 3141 | ! inverse 3x3 rrotation |
---|
| 3142 | implicit none |
---|
| 3143 | integer i,j |
---|
| 3144 | real(dp) m(3,3),mi(3,3) |
---|
| 3145 | real(dp) n(3,3) |
---|
| 3146 | |
---|
| 3147 | |
---|
| 3148 | do i=1,3 |
---|
| 3149 | do j=1,3 |
---|
| 3150 | n(j,i)=m(i,j) |
---|
| 3151 | enddo |
---|
| 3152 | enddo |
---|
| 3153 | |
---|
| 3154 | do i=1,3 |
---|
| 3155 | do j=1,3 |
---|
| 3156 | mi(i,j)=n(i,j) |
---|
| 3157 | enddo |
---|
| 3158 | enddo |
---|
| 3159 | |
---|
| 3160 | end subroutine inv_asr |
---|
| 3161 | |
---|
| 3162 | |
---|
| 3163 | subroutine inv_asp(m,mi) |
---|
| 3164 | ! inverse 3x3 rrotation |
---|
| 3165 | implicit none |
---|
| 3166 | integer i,j |
---|
| 3167 | type(real_8) m(3,3),mi(3,3) |
---|
| 3168 | type(real_8) n(3,3) |
---|
| 3169 | |
---|
| 3170 | call alloc_33(n) |
---|
| 3171 | |
---|
| 3172 | do i=1,3 |
---|
| 3173 | do j=1,3 |
---|
| 3174 | n(j,i)=m(i,j) |
---|
| 3175 | enddo |
---|
| 3176 | enddo |
---|
| 3177 | |
---|
| 3178 | do i=1,3 |
---|
| 3179 | do j=1,3 |
---|
| 3180 | mi(i,j)=n(i,j) |
---|
| 3181 | enddo |
---|
| 3182 | enddo |
---|
| 3183 | |
---|
| 3184 | call kill_33(n) |
---|
| 3185 | end subroutine inv_asp |
---|
| 3186 | |
---|
| 3187 | subroutine trans_mat(m,ri,mi) |
---|
| 3188 | implicit none |
---|
| 3189 | integer i,j |
---|
| 3190 | type(real_8) m(3,3),mi(3,3) |
---|
| 3191 | type(real_8) n(3,3) |
---|
| 3192 | type(damap) ri |
---|
| 3193 | type(real_8) r |
---|
| 3194 | |
---|
| 3195 | call alloc_33(n) |
---|
| 3196 | call alloc(r) |
---|
| 3197 | |
---|
| 3198 | do i=1,3 |
---|
| 3199 | do j=1,3 |
---|
| 3200 | if(c_%nd2/=0) then |
---|
| 3201 | r=(m(i,j)*ri) |
---|
| 3202 | else |
---|
| 3203 | r=m(i,j) |
---|
| 3204 | endif |
---|
| 3205 | n(i,j)=r !morph(r) |
---|
| 3206 | ! advances by r**(-1) |
---|
| 3207 | enddo |
---|
| 3208 | enddo |
---|
| 3209 | |
---|
| 3210 | |
---|
| 3211 | do i=1,3 |
---|
| 3212 | do j=1,3 |
---|
| 3213 | mi(i,j)=n(i,j) |
---|
| 3214 | enddo |
---|
| 3215 | enddo |
---|
| 3216 | |
---|
| 3217 | call kill(r) |
---|
| 3218 | call kill_33(n) |
---|
| 3219 | end subroutine trans_mat |
---|
| 3220 | |
---|
| 3221 | |
---|
| 3222 | |
---|
| 3223 | |
---|
| 3224 | |
---|
| 3225 | |
---|
| 3226 | subroutine ALLOC_DASPIN(D) |
---|
| 3227 | implicit none |
---|
| 3228 | TYPE(damapspin), INTENT(INOUT) :: D |
---|
| 3229 | INTEGER I,J |
---|
| 3230 | ! D%s0=ZERO |
---|
| 3231 | CALL ALLOC(D%M) |
---|
| 3232 | DO I=1,3 |
---|
| 3233 | DO J=1,3 |
---|
| 3234 | CALL ALLOC(D%S%s(I,J)) |
---|
| 3235 | d%e_ij(i,j)=0.0_dp |
---|
| 3236 | ENDDO |
---|
| 3237 | ENDDO |
---|
| 3238 | |
---|
| 3239 | END subroutine ALLOC_DASPIN |
---|
| 3240 | |
---|
| 3241 | subroutine KILL_DASPIN(D) |
---|
| 3242 | implicit none |
---|
| 3243 | TYPE(damapspin), INTENT(INOUT) :: D |
---|
| 3244 | INTEGER I,J |
---|
| 3245 | |
---|
| 3246 | ! D%s0=ZERO |
---|
| 3247 | CALL KILL(D%M) |
---|
| 3248 | DO I=1,3 |
---|
| 3249 | DO J=1,3 |
---|
| 3250 | CALL KILL(D%S%s(I,J)) |
---|
| 3251 | d%e_ij(i,j)=0.0_dp |
---|
| 3252 | ENDDO |
---|
| 3253 | ENDDO |
---|
| 3254 | |
---|
| 3255 | END subroutine KILL_DASPIN |
---|
| 3256 | |
---|
| 3257 | |
---|
| 3258 | |
---|
| 3259 | |
---|
| 3260 | subroutine ALLOC_SPINOR_8(S) |
---|
| 3261 | implicit none |
---|
| 3262 | TYPE(SPINOR_8), INTENT(INOUT) :: S |
---|
| 3263 | |
---|
| 3264 | CALL ALLOC(S%X,3) |
---|
| 3265 | ! S%G=A_PARTICLE |
---|
| 3266 | END subroutine ALLOC_SPINOR_8 |
---|
| 3267 | |
---|
| 3268 | subroutine ALLOC_res_SPINOR_8(S) |
---|
| 3269 | implicit none |
---|
| 3270 | TYPE(RES_SPINOR_8), INTENT(INOUT) :: S |
---|
| 3271 | |
---|
| 3272 | CALL ALLOC(S%X,3) |
---|
| 3273 | ! S%G=A_PARTICLE |
---|
| 3274 | END subroutine ALLOC_res_SPINOR_8 |
---|
| 3275 | |
---|
| 3276 | subroutine ALLOC_probe_8(R) |
---|
| 3277 | implicit none |
---|
| 3278 | TYPE(probe_8), INTENT(INOUT) :: R |
---|
| 3279 | INTEGER I !,J |
---|
| 3280 | |
---|
| 3281 | ! CALL ALLOC(R%S) |
---|
| 3282 | DO I=1,3 |
---|
| 3283 | CALL ALLOC(R%S(I)) |
---|
| 3284 | ENDDO |
---|
| 3285 | CALL ALLOC(R%X,6) |
---|
| 3286 | ! R%S(0)%X(N0_NORMAL)=ONE |
---|
| 3287 | DO I=1,3 |
---|
| 3288 | R%S(I)=0 |
---|
| 3289 | ENDDO |
---|
| 3290 | CALL ALLOC(R%ac) |
---|
| 3291 | r%e_ij=0.0_dp |
---|
| 3292 | |
---|
| 3293 | END subroutine ALLOC_probe_8 |
---|
| 3294 | |
---|
| 3295 | subroutine ALLOC_rf_phasor_8(R) |
---|
| 3296 | implicit none |
---|
| 3297 | TYPE(rf_phasor_8), INTENT(INOUT) :: R |
---|
| 3298 | INTEGER I !,J |
---|
| 3299 | |
---|
| 3300 | DO I=1,2 |
---|
| 3301 | CALL alloc(R%X(I)) |
---|
| 3302 | ENDDO |
---|
| 3303 | CALL alloc(R%om) |
---|
| 3304 | ! CALL alloc(R%t) |
---|
| 3305 | |
---|
| 3306 | END subroutine ALLOC_rf_phasor_8 |
---|
| 3307 | |
---|
| 3308 | subroutine KILL_res_SPINOR_8(S) |
---|
| 3309 | implicit none |
---|
| 3310 | TYPE(RES_SPINOR_8), INTENT(INOUT) :: S |
---|
| 3311 | |
---|
| 3312 | CALL KILL(S%X,3) |
---|
| 3313 | ! S%G=A_PARTICLE |
---|
| 3314 | END subroutine KILL_res_SPINOR_8 |
---|
| 3315 | |
---|
| 3316 | subroutine KILL_SPINOR_8(S) |
---|
| 3317 | implicit none |
---|
| 3318 | TYPE(SPINOR_8), INTENT(INOUT) :: S |
---|
| 3319 | |
---|
| 3320 | CALL KILL(S%X,3) |
---|
| 3321 | |
---|
| 3322 | |
---|
| 3323 | END subroutine KILL_SPINOR_8 |
---|
| 3324 | |
---|
| 3325 | subroutine KILL_probe_8(R) |
---|
| 3326 | implicit none |
---|
| 3327 | TYPE(probe_8), INTENT(INOUT) :: R |
---|
| 3328 | INTEGER I !,J |
---|
| 3329 | |
---|
| 3330 | ! CALL KILL(R%S) |
---|
| 3331 | DO I=1,3 |
---|
| 3332 | CALL KILL(R%S(I)) |
---|
| 3333 | ENDDO |
---|
| 3334 | CALL KILL(R%X,6) |
---|
| 3335 | |
---|
| 3336 | CALL KILL(R%ac) |
---|
| 3337 | r%e_ij=0.0_dp |
---|
| 3338 | END subroutine KILL_probe_8 |
---|
| 3339 | |
---|
| 3340 | subroutine kill_rf_phasor_8(R) |
---|
| 3341 | implicit none |
---|
| 3342 | TYPE(rf_phasor_8), INTENT(INOUT) :: R |
---|
| 3343 | INTEGER I !,J |
---|
| 3344 | |
---|
| 3345 | DO I=1,2 |
---|
| 3346 | CALL KILL(R%X(I)) |
---|
| 3347 | ENDDO |
---|
| 3348 | CALL KILL(R%om) |
---|
| 3349 | ! CALL KILL(R%t) |
---|
| 3350 | |
---|
| 3351 | END subroutine kill_rf_phasor_8 |
---|
| 3352 | |
---|
| 3353 | |
---|
| 3354 | |
---|
| 3355 | |
---|
| 3356 | !!!!!!!!!!!!!!!! new stuff |
---|
| 3357 | subroutine get_spin_nx_spinor_8(DS,theta0,n0) |
---|
| 3358 | implicit none |
---|
| 3359 | TYPE(damapspin), INTENT(INout) :: DS |
---|
| 3360 | type(real_8), intent(inout) :: theta0 |
---|
| 3361 | type(spinor_8), intent(inout) :: n0 |
---|
| 3362 | |
---|
| 3363 | call get_spin_n0(DS,theta0,n0%x) !get_spin_nx_t |
---|
| 3364 | |
---|
| 3365 | end subroutine get_spin_nx_spinor_8 |
---|
| 3366 | |
---|
| 3367 | |
---|
| 3368 | subroutine get_spin_nx_t(DS,theta0,n0) |
---|
| 3369 | implicit none |
---|
| 3370 | TYPE(damapspin), INTENT(INout) :: DS |
---|
| 3371 | type(damapspin) a1i,ds0 |
---|
| 3372 | type(real_8), intent(inout) :: theta0,n0(3) |
---|
| 3373 | type(real_8) s(3,3),a(3,3),ai(3,3) |
---|
| 3374 | type(real_8) a11,a13 |
---|
| 3375 | |
---|
| 3376 | call alloc(a1i) |
---|
| 3377 | call alloc(ds0) |
---|
| 3378 | call alloc_33(s) |
---|
| 3379 | call alloc_33(a) |
---|
| 3380 | call alloc_33(ai) |
---|
| 3381 | call alloc(a11,a13) |
---|
| 3382 | |
---|
| 3383 | call find_n0(ds%s%s,n0) |
---|
| 3384 | |
---|
| 3385 | ! call print(theta0,6) |
---|
| 3386 | |
---|
| 3387 | |
---|
| 3388 | call find_a(n0,a) |
---|
| 3389 | |
---|
| 3390 | call inv_as(a,ai) |
---|
| 3391 | |
---|
| 3392 | |
---|
| 3393 | |
---|
| 3394 | call matmulp(ai,ds%s%s,ai) ! |
---|
| 3395 | call matmulp(ai,a,s) ! |
---|
| 3396 | |
---|
| 3397 | a11=(s(1,1)) |
---|
| 3398 | a13=(s(1,3)) |
---|
| 3399 | |
---|
| 3400 | theta0=clockwise*atan2(a13,a11) |
---|
| 3401 | if(force_positive.and.theta0<0.0_dp) theta0 = theta0 + twopi !!!! allow negative theta0 |
---|
| 3402 | |
---|
| 3403 | ! at this stage the spin map is: |
---|
| 3404 | |
---|
| 3405 | ! exp( theta0 n0 L ) where n0 is not the real n but it depends on (x,p) |
---|
| 3406 | |
---|
| 3407 | |
---|
| 3408 | ! call print(theta0,6) |
---|
| 3409 | |
---|
| 3410 | ! theta0=theta0*nsc |
---|
| 3411 | |
---|
| 3412 | ! call print(theta0,6) |
---|
| 3413 | |
---|
| 3414 | ! write(6,*) mod((theta0.sub.'0'),twopi)+twopi |
---|
| 3415 | |
---|
| 3416 | call kill(a1i) |
---|
| 3417 | call kill(ds0) |
---|
| 3418 | call kill_33(s) |
---|
| 3419 | call kill_33(a) |
---|
| 3420 | call kill_33(ai) |
---|
| 3421 | |
---|
| 3422 | call kill(a11,a13) |
---|
| 3423 | |
---|
| 3424 | end subroutine get_spin_nx_t |
---|
| 3425 | |
---|
| 3426 | subroutine get_spin_nx_r(S,theta0,n0) |
---|
| 3427 | implicit none |
---|
| 3428 | real(dp), intent(inout) :: theta0,n0(3) |
---|
| 3429 | real(dp) a(3,3),ai(3,3) |
---|
| 3430 | real(dp), INTENT(INout) :: S(3,3) |
---|
| 3431 | |
---|
| 3432 | call find_n0(s,n0) |
---|
| 3433 | |
---|
| 3434 | |
---|
| 3435 | |
---|
| 3436 | |
---|
| 3437 | |
---|
| 3438 | call find_a(n0,a) |
---|
| 3439 | call inv_as(a,ai) |
---|
| 3440 | ai=matmul(ai,s) ! |
---|
| 3441 | s=matmul(ai,a) ! |
---|
| 3442 | |
---|
| 3443 | theta0=clockwise*atan2(s(1,3),s(1,1)) |
---|
| 3444 | if(force_positive.and.theta0<0.0_dp) theta0 = theta0 + twopi !!!! allow negative theta0 |
---|
| 3445 | |
---|
| 3446 | |
---|
| 3447 | end subroutine get_spin_nx_r |
---|
| 3448 | |
---|
| 3449 | subroutine get_spin_nx_probe(xs0,theta0,n0) |
---|
| 3450 | implicit none |
---|
| 3451 | type(probe), intent(in) :: xs0 |
---|
| 3452 | real(dp), intent(inout) :: theta0,n0(3) |
---|
| 3453 | integer i,j |
---|
| 3454 | real(dp) S(3,3) |
---|
| 3455 | |
---|
| 3456 | do i=1,3 |
---|
| 3457 | do j=1,3 |
---|
| 3458 | s(i,j)=xs0%s(j)%x(i) |
---|
| 3459 | enddo |
---|
| 3460 | enddo |
---|
| 3461 | |
---|
| 3462 | call get_spin_n0(S,theta0,n0) |
---|
| 3463 | |
---|
| 3464 | |
---|
| 3465 | end subroutine get_spin_nx_probe |
---|
| 3466 | |
---|
| 3467 | |
---|
| 3468 | subroutine get_spin_nx_rd(dS,theta0,n0) |
---|
| 3469 | implicit none |
---|
| 3470 | TYPE(damapspin), INTENT(INout) :: DS |
---|
| 3471 | real(dp), intent(inout) :: theta0,n0(3) |
---|
| 3472 | real(dp) a(3,3),ai(3,3),S(3,3) |
---|
| 3473 | integer i,j |
---|
| 3474 | |
---|
| 3475 | do i=1,3 |
---|
| 3476 | do j=1,3 |
---|
| 3477 | s(i,j)=ds%s%s(i,j) |
---|
| 3478 | enddo |
---|
| 3479 | enddo |
---|
| 3480 | |
---|
| 3481 | call find_n0(s,n0) |
---|
| 3482 | |
---|
| 3483 | call find_a(n0,a) |
---|
| 3484 | call inv_as(a,ai) |
---|
| 3485 | ai=matmul(ai,s) ! |
---|
| 3486 | s=matmul(ai,a) ! |
---|
| 3487 | |
---|
| 3488 | theta0=clockwise*atan2(s(1,3),s(1,1)) |
---|
| 3489 | if(force_positive.and.theta0<0.0_dp) theta0 = theta0 + twopi !!!! allow negative theta0 |
---|
| 3490 | |
---|
| 3491 | |
---|
| 3492 | |
---|
| 3493 | end subroutine get_spin_nx_rd |
---|
| 3494 | |
---|
| 3495 | |
---|
| 3496 | |
---|
| 3497 | !!!!!!!!!!!!!! |
---|
| 3498 | FUNCTION POWMAP( S1, R2 ) |
---|
| 3499 | implicit none |
---|
| 3500 | TYPE (damapspin) POWMAP |
---|
| 3501 | TYPE (damapspin), INTENT (IN) :: S1 |
---|
| 3502 | INTEGER, INTENT (IN) :: R2 |
---|
| 3503 | TYPE (damapspin) S11 |
---|
| 3504 | INTEGER I,R22 |
---|
| 3505 | integer localmaster |
---|
| 3506 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3507 | localmaster=master |
---|
| 3508 | |
---|
| 3509 | |
---|
| 3510 | ! call checkdamap(s1) |
---|
| 3511 | |
---|
| 3512 | call ass(POWMAP) |
---|
| 3513 | |
---|
| 3514 | call alloc(s11) |
---|
| 3515 | |
---|
| 3516 | s11=1 |
---|
| 3517 | |
---|
| 3518 | |
---|
| 3519 | R22=IABS(R2) |
---|
| 3520 | DO I=1,R22 |
---|
| 3521 | s11=s1*s11 |
---|
| 3522 | ENDDO |
---|
| 3523 | |
---|
| 3524 | IF(R2.LT.0) THEN |
---|
| 3525 | ! if(old) then |
---|
| 3526 | |
---|
| 3527 | s11%m=s11%m**(-1) |
---|
| 3528 | call trans_mat(s11%s%s,s11%m,s11%s%s) |
---|
| 3529 | call inv_as(s11%s%s,s11%s%s) |
---|
| 3530 | |
---|
| 3531 | ! CALL etinv(S11%v%i,S11%v%i) |
---|
| 3532 | ! else |
---|
| 3533 | ! CALL newetinv(S11%v%j,S11%v%j) |
---|
| 3534 | ! endif |
---|
| 3535 | ENDIF |
---|
| 3536 | |
---|
| 3537 | powmap=s11 |
---|
| 3538 | |
---|
| 3539 | |
---|
| 3540 | ! powmap=junk |
---|
| 3541 | call kill(s11) |
---|
| 3542 | |
---|
| 3543 | master=localmaster |
---|
| 3544 | |
---|
| 3545 | END FUNCTION POWMAP |
---|
| 3546 | |
---|
| 3547 | FUNCTION dot_spinor( S1, S2 ) |
---|
| 3548 | implicit none |
---|
| 3549 | real(dp) dot_spinor |
---|
| 3550 | TYPE (SPINOR), INTENT (IN) :: S1,S2 |
---|
| 3551 | |
---|
| 3552 | INTEGER I |
---|
| 3553 | |
---|
| 3554 | dot_spinor=0.0_dp |
---|
| 3555 | |
---|
| 3556 | DO I=1,3 |
---|
| 3557 | dot_spinor=dot_spinor+s1%x(i)*s2%x(i) |
---|
| 3558 | ENDDO |
---|
| 3559 | |
---|
| 3560 | |
---|
| 3561 | |
---|
| 3562 | END FUNCTION dot_spinor |
---|
| 3563 | |
---|
| 3564 | FUNCTION dot_spinor_8( S1, S2 ) |
---|
| 3565 | implicit none |
---|
| 3566 | TYPE (real_8) dot_spinor_8 |
---|
| 3567 | TYPE (SPINOR_8), INTENT (IN) :: S1,S2 |
---|
| 3568 | |
---|
| 3569 | INTEGER I |
---|
| 3570 | integer localmaster |
---|
| 3571 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3572 | localmaster=master |
---|
| 3573 | |
---|
| 3574 | |
---|
| 3575 | ! call checkdamap(s1) |
---|
| 3576 | |
---|
| 3577 | call ass(dot_spinor_8) |
---|
| 3578 | |
---|
| 3579 | dot_spinor_8=0.0_dp |
---|
| 3580 | |
---|
| 3581 | DO I=1,3 |
---|
| 3582 | dot_spinor_8=dot_spinor_8+s1%x(i)*s2%x(i) |
---|
| 3583 | ENDDO |
---|
| 3584 | |
---|
| 3585 | |
---|
| 3586 | master=localmaster |
---|
| 3587 | |
---|
| 3588 | END FUNCTION dot_spinor_8 |
---|
| 3589 | |
---|
| 3590 | FUNCTION concat(S2,S1) |
---|
| 3591 | implicit none |
---|
| 3592 | TYPE (damapspin) concat,t2 |
---|
| 3593 | TYPE (damapspin), INTENT (IN) :: S1, S2 |
---|
| 3594 | integer i,j,k |
---|
| 3595 | integer localmaster |
---|
| 3596 | type(real_8) s(3,3) |
---|
| 3597 | |
---|
| 3598 | |
---|
| 3599 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3600 | localmaster=master |
---|
| 3601 | |
---|
| 3602 | call ass(concat) |
---|
| 3603 | call alloc(t2); |
---|
| 3604 | call alloc_33(s); |
---|
| 3605 | |
---|
| 3606 | t2=s2 |
---|
| 3607 | concat=s2 |
---|
| 3608 | |
---|
| 3609 | |
---|
| 3610 | do i=1,3 |
---|
| 3611 | do j=1,3 |
---|
| 3612 | ! if(s2%s(i,j)%kind==2) then |
---|
| 3613 | ! if(c_%nd2/=0) then |
---|
| 3614 | t2%s%s(i,j)=s2%s%s(i,j)*s1%m |
---|
| 3615 | ! else |
---|
| 3616 | ! t2%s(i,j)=s2%s(i,j) |
---|
| 3617 | ! endif |
---|
| 3618 | ! else |
---|
| 3619 | ! t2%s(i,j)=s2%s(i,j) |
---|
| 3620 | ! endif |
---|
| 3621 | enddo |
---|
| 3622 | enddo |
---|
| 3623 | |
---|
| 3624 | if(c_%nd2/=0) concat%m=s2%m*s1%m |
---|
| 3625 | |
---|
| 3626 | ! do i=1,6 |
---|
| 3627 | ! concat%x(i)=s2%x(i) |
---|
| 3628 | ! enddo |
---|
| 3629 | do i=1,3 |
---|
| 3630 | do j=1,3 |
---|
| 3631 | do k=1,3 |
---|
| 3632 | s(i,j)= t2%s%s(i,k)*s1%s%s(k,j)+ s(i,j) |
---|
| 3633 | enddo |
---|
| 3634 | enddo |
---|
| 3635 | enddo |
---|
| 3636 | call smatp(1.0_dp,s,concat%s%s) |
---|
| 3637 | ! concat%s0=s1%s0 |
---|
| 3638 | |
---|
| 3639 | call concat_envelope(S2,S1,concat) |
---|
| 3640 | |
---|
| 3641 | |
---|
| 3642 | call kill_33(s); |
---|
| 3643 | call kill(t2); |
---|
| 3644 | master=localmaster |
---|
| 3645 | |
---|
| 3646 | END FUNCTION concat |
---|
| 3647 | |
---|
| 3648 | subroutine concat_envelope(S2,S1,S3) |
---|
| 3649 | implicit none |
---|
| 3650 | TYPE (damapspin), INTENT (IN) :: S1 |
---|
| 3651 | TYPE (damapspin), INTENT (IN) :: S2 |
---|
| 3652 | TYPE (damapspin), INTENT (INout) :: s3 |
---|
| 3653 | real(dp) s1mi(ndim2,ndim2) |
---|
| 3654 | real(dp) e(ndim2,ndim2) |
---|
| 3655 | |
---|
| 3656 | s1mi=0.0_dp |
---|
| 3657 | e=0.0_dp |
---|
| 3658 | |
---|
| 3659 | s1mi=(s1%m.sub.1)**(-1) |
---|
| 3660 | |
---|
| 3661 | e(1:c_%nd2,1:c_%nd2)=s2%e_ij |
---|
| 3662 | e=matmul(matmul(s1mi,e),transpose(s1mi)) |
---|
| 3663 | |
---|
| 3664 | s3%e_ij=e(1:c_%nd2,1:c_%nd2)+s1%e_ij |
---|
| 3665 | |
---|
| 3666 | end subroutine concat_envelope |
---|
| 3667 | |
---|
| 3668 | subroutine extract_envelope_damap(S1,E0_ij,E_ij) |
---|
| 3669 | implicit none |
---|
| 3670 | TYPE (damapspin), INTENT (IN) :: S1 |
---|
| 3671 | real(dp), INTENT (in) :: E0_ij(6,6) |
---|
| 3672 | real(dp), INTENT (out) :: E_ij(6,6) |
---|
| 3673 | real(dp) s1m(ndim2,ndim2) |
---|
| 3674 | real(dp) e(ndim2,ndim2) |
---|
| 3675 | |
---|
| 3676 | s1m=0.0_dp |
---|
| 3677 | e=0.0_dp |
---|
| 3678 | |
---|
| 3679 | |
---|
| 3680 | s1m=s1%m.sub.1 |
---|
| 3681 | |
---|
| 3682 | |
---|
| 3683 | e(1:c_%nd2,1:c_%nd2)=s1%e_ij+E0_ij |
---|
| 3684 | e=matmul(matmul(s1m,e),transpose(s1m)) |
---|
| 3685 | |
---|
| 3686 | E_ij=e(1:c_%nd2,1:c_%nd2) |
---|
| 3687 | |
---|
| 3688 | end subroutine extract_envelope_damap |
---|
| 3689 | |
---|
| 3690 | subroutine extract_envelope_probe8(p,E0_ij,E_ij) |
---|
| 3691 | implicit none |
---|
| 3692 | TYPE (probe_8), INTENT (IN) :: p |
---|
| 3693 | TYPE (damapspin) S1 |
---|
| 3694 | real(dp), INTENT (in) :: E0_ij(6,6) |
---|
| 3695 | real(dp), INTENT (out) :: E_ij(6,6) |
---|
| 3696 | real(dp) s1m(ndim2,ndim2) |
---|
| 3697 | real(dp) e(ndim2,ndim2) |
---|
| 3698 | |
---|
| 3699 | call alloc(s1) |
---|
| 3700 | s1=p |
---|
| 3701 | |
---|
| 3702 | call extract_envelope_damap(s1,E0_ij,E_ij) |
---|
| 3703 | |
---|
| 3704 | call kill(s1) |
---|
| 3705 | end subroutine extract_envelope_probe8 |
---|
| 3706 | |
---|
| 3707 | |
---|
| 3708 | FUNCTION cmul(S2,S1) ! multiply spin part with real(dp) s1 |
---|
| 3709 | implicit none |
---|
| 3710 | TYPE (damapspin) cmul |
---|
| 3711 | TYPE (damapspin), INTENT (IN) :: S1 |
---|
| 3712 | real(dp), INTENT (IN) :: S2 |
---|
| 3713 | integer i,j |
---|
| 3714 | integer localmaster |
---|
| 3715 | |
---|
| 3716 | |
---|
| 3717 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3718 | localmaster=master |
---|
| 3719 | |
---|
| 3720 | call ass(cmul) |
---|
| 3721 | |
---|
| 3722 | if(c_%nd2/=0) cmul%m=s1%m |
---|
| 3723 | |
---|
| 3724 | |
---|
| 3725 | |
---|
| 3726 | do i=1,3 |
---|
| 3727 | do j=1,3 |
---|
| 3728 | cmul%s%s(i,j)=s2*s1%s%s(i,j) |
---|
| 3729 | enddo |
---|
| 3730 | enddo |
---|
| 3731 | master=localmaster |
---|
| 3732 | |
---|
| 3733 | END FUNCTION cmul |
---|
| 3734 | |
---|
| 3735 | FUNCTION mmul(S1,S2) ! transform spin part with damap s2 |
---|
| 3736 | implicit none |
---|
| 3737 | TYPE (damapspin) mmul |
---|
| 3738 | TYPE (damapspin), INTENT (IN) :: S1 |
---|
| 3739 | type(damap), INTENT (IN) :: s2 |
---|
| 3740 | ! integer i,j,k |
---|
| 3741 | integer localmaster |
---|
| 3742 | |
---|
| 3743 | |
---|
| 3744 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3745 | localmaster=master |
---|
| 3746 | |
---|
| 3747 | call ass(mmul) |
---|
| 3748 | |
---|
| 3749 | mmul=s1 |
---|
| 3750 | call trans_mat( mmul%s%s,s2, mmul%s%s) |
---|
| 3751 | |
---|
| 3752 | ! do i=1,3 |
---|
| 3753 | ! do j=1,3 |
---|
| 3754 | ! if(s2%s(i,j)%kind==2) then |
---|
| 3755 | ! mmul%s(i,j)=s1%s(i,j)*s2 |
---|
| 3756 | ! enddo |
---|
| 3757 | ! enddo |
---|
| 3758 | |
---|
| 3759 | master=localmaster |
---|
| 3760 | |
---|
| 3761 | END FUNCTION mmul |
---|
| 3762 | |
---|
| 3763 | FUNCTION damapspin_spinor8_mul(S1,S2) ! transform spin part with spinor_8 s2 and returns spinor_8 |
---|
| 3764 | implicit none |
---|
| 3765 | type(spinor_8) damapspin_spinor8_mul |
---|
| 3766 | TYPE (damapspin), INTENT (IN) :: S1 |
---|
| 3767 | type(spinor_8), INTENT (IN) :: S2 |
---|
| 3768 | integer i,j |
---|
| 3769 | integer localmaster |
---|
| 3770 | |
---|
| 3771 | |
---|
| 3772 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3773 | localmaster=master |
---|
| 3774 | |
---|
| 3775 | call assp_master(damapspin_spinor8_mul%x(1)) |
---|
| 3776 | call assp_no_master(damapspin_spinor8_mul%x(2)) |
---|
| 3777 | call assp_no_master(damapspin_spinor8_mul%x(3)) |
---|
| 3778 | |
---|
| 3779 | damapspin_spinor8_mul%x(1)=0.0_dp |
---|
| 3780 | damapspin_spinor8_mul%x(2)=0.0_dp |
---|
| 3781 | damapspin_spinor8_mul%x(3)=0.0_dp |
---|
| 3782 | |
---|
| 3783 | do i=1,3 |
---|
| 3784 | do j=1,3 |
---|
| 3785 | damapspin_spinor8_mul%x(i)=(s1%s%s(i,j))*S2%x(j)+damapspin_spinor8_mul%x(i) |
---|
| 3786 | enddo |
---|
| 3787 | enddo |
---|
| 3788 | |
---|
| 3789 | master=localmaster |
---|
| 3790 | |
---|
| 3791 | END FUNCTION damapspin_spinor8_mul |
---|
| 3792 | |
---|
| 3793 | |
---|
| 3794 | FUNCTION damapspin_spinor_mul(S1,S2) ! transform spin part with spinor_8 s2 and returns spinor_8 |
---|
| 3795 | implicit none |
---|
| 3796 | type(spinor_8) damapspin_spinor_mul |
---|
| 3797 | TYPE (damapspin), INTENT (IN) :: S1 |
---|
| 3798 | type(spinor), INTENT (IN) :: S2 |
---|
| 3799 | integer i,j |
---|
| 3800 | integer localmaster |
---|
| 3801 | |
---|
| 3802 | |
---|
| 3803 | |
---|
| 3804 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3805 | localmaster=master |
---|
| 3806 | |
---|
| 3807 | call assp_master(damapspin_spinor_mul%x(1)) |
---|
| 3808 | call assp_no_master(damapspin_spinor_mul%x(2)) |
---|
| 3809 | call assp_no_master(damapspin_spinor_mul%x(3)) |
---|
| 3810 | |
---|
| 3811 | damapspin_spinor_mul%x(1)=0.0_dp |
---|
| 3812 | damapspin_spinor_mul%x(2)=0.0_dp |
---|
| 3813 | damapspin_spinor_mul%x(3)=0.0_dp |
---|
| 3814 | |
---|
| 3815 | do i=1,3 |
---|
| 3816 | do j=1,3 |
---|
| 3817 | damapspin_spinor_mul%x(i)=(s1%s%s(i,j))*S2%x(j)+damapspin_spinor_mul%x(i) |
---|
| 3818 | enddo |
---|
| 3819 | enddo |
---|
| 3820 | |
---|
| 3821 | master=localmaster |
---|
| 3822 | |
---|
| 3823 | |
---|
| 3824 | END FUNCTION damapspin_spinor_mul |
---|
| 3825 | |
---|
| 3826 | FUNCTION exp_spinor_8(S1) ! transform spin part with damap s2 |
---|
| 3827 | implicit none |
---|
| 3828 | TYPE (damapspin) exp_spinor_8 |
---|
| 3829 | TYPE (spinor_8), INTENT (IN) :: S1 |
---|
| 3830 | ! integer i,j,k |
---|
| 3831 | integer localmaster |
---|
| 3832 | |
---|
| 3833 | |
---|
| 3834 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3835 | localmaster=master |
---|
| 3836 | |
---|
| 3837 | call ass(exp_spinor_8) |
---|
| 3838 | |
---|
| 3839 | call daexplogp(S1,exp_spinor_8) |
---|
| 3840 | |
---|
| 3841 | master=localmaster |
---|
| 3842 | |
---|
| 3843 | END FUNCTION exp_spinor_8 |
---|
| 3844 | |
---|
| 3845 | |
---|
| 3846 | FUNCTION spin8_mul_map(S2,S1) ! transforms spinor_8 s2 with damap s1 |
---|
| 3847 | implicit none |
---|
| 3848 | type(spinor_8) spin8_mul_map |
---|
| 3849 | TYPE (damap), INTENT (IN) :: S1 |
---|
| 3850 | type(spinor_8), INTENT (IN) :: S2 |
---|
| 3851 | integer i |
---|
| 3852 | integer localmaster |
---|
| 3853 | |
---|
| 3854 | |
---|
| 3855 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3856 | localmaster=master |
---|
| 3857 | |
---|
| 3858 | call assp_master(spin8_mul_map%x(1)) |
---|
| 3859 | call assp_no_master(spin8_mul_map%x(2)) |
---|
| 3860 | call assp_no_master(spin8_mul_map%x(3)) |
---|
| 3861 | |
---|
| 3862 | spin8_mul_map%x(1)=0.0_dp |
---|
| 3863 | spin8_mul_map%x(2)=0.0_dp |
---|
| 3864 | spin8_mul_map%x(3)=0.0_dp |
---|
| 3865 | |
---|
| 3866 | do i=1,3 |
---|
| 3867 | if(S2%x(i)%kind==2) then |
---|
| 3868 | spin8_mul_map%x(i)=S2%x(i)%t*s1 |
---|
| 3869 | else |
---|
| 3870 | spin8_mul_map%x(i)=S2%x(i) |
---|
| 3871 | endif |
---|
| 3872 | enddo |
---|
| 3873 | |
---|
| 3874 | master=localmaster |
---|
| 3875 | |
---|
| 3876 | END FUNCTION spin8_mul_map |
---|
| 3877 | |
---|
| 3878 | FUNCTION spin8_scal8_map(S1,S2) ! transforms spinor_8 s2 with damap s1 |
---|
| 3879 | implicit none |
---|
| 3880 | type(spinor_8) spin8_scal8_map |
---|
| 3881 | TYPE (real_8), INTENT (IN) :: S1 |
---|
| 3882 | type(spinor_8), INTENT (IN) :: S2 |
---|
| 3883 | integer i |
---|
| 3884 | integer localmaster |
---|
| 3885 | |
---|
| 3886 | |
---|
| 3887 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3888 | localmaster=master |
---|
| 3889 | |
---|
| 3890 | call assp_master(spin8_scal8_map%x(1)) |
---|
| 3891 | call assp_no_master(spin8_scal8_map%x(2)) |
---|
| 3892 | call assp_no_master(spin8_scal8_map%x(3)) |
---|
| 3893 | |
---|
| 3894 | spin8_scal8_map%x(1)=0.0_dp |
---|
| 3895 | spin8_scal8_map%x(2)=0.0_dp |
---|
| 3896 | spin8_scal8_map%x(3)=0.0_dp |
---|
| 3897 | |
---|
| 3898 | do i=1,3 |
---|
| 3899 | spin8_scal8_map%x(i)=s1*S2%x(i) |
---|
| 3900 | enddo |
---|
| 3901 | |
---|
| 3902 | master=localmaster |
---|
| 3903 | |
---|
| 3904 | END FUNCTION spin8_scal8_map |
---|
| 3905 | |
---|
| 3906 | |
---|
| 3907 | FUNCTION add_spin8_spin8(S1,S2) ! transforms spinor_8 s2 with damap s1 |
---|
| 3908 | implicit none |
---|
| 3909 | type(spinor_8) add_spin8_spin8 |
---|
| 3910 | type(spinor_8), INTENT (IN) :: S1,S2 |
---|
| 3911 | integer i |
---|
| 3912 | integer localmaster |
---|
| 3913 | |
---|
| 3914 | |
---|
| 3915 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3916 | localmaster=master |
---|
| 3917 | |
---|
| 3918 | call assp_master(add_spin8_spin8%x(1)) |
---|
| 3919 | call assp_no_master(add_spin8_spin8%x(2)) |
---|
| 3920 | call assp_no_master(add_spin8_spin8%x(3)) |
---|
| 3921 | |
---|
| 3922 | add_spin8_spin8%x(1)=0.0_dp |
---|
| 3923 | add_spin8_spin8%x(2)=0.0_dp |
---|
| 3924 | add_spin8_spin8%x(3)=0.0_dp |
---|
| 3925 | |
---|
| 3926 | do i=1,3 |
---|
| 3927 | add_spin8_spin8%x(i)=s1%x(i)+S2%x(i) |
---|
| 3928 | enddo |
---|
| 3929 | |
---|
| 3930 | master=localmaster |
---|
| 3931 | |
---|
| 3932 | END FUNCTION add_spin8_spin8 |
---|
| 3933 | |
---|
| 3934 | FUNCTION mul_spin8_spin8(S1,S2) ! transforms spinor_8 s2 with damap s1 |
---|
| 3935 | implicit none |
---|
| 3936 | type(spinor_8) mul_spin8_spin8 |
---|
| 3937 | type(spinor_8), INTENT (IN) :: S1,S2 |
---|
| 3938 | integer i |
---|
| 3939 | integer localmaster |
---|
| 3940 | |
---|
| 3941 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3942 | localmaster=master |
---|
| 3943 | |
---|
| 3944 | call assp_master(mul_spin8_spin8%x(1)) |
---|
| 3945 | call assp_no_master(mul_spin8_spin8%x(2)) |
---|
| 3946 | call assp_no_master(mul_spin8_spin8%x(3)) |
---|
| 3947 | |
---|
| 3948 | mul_spin8_spin8%x(1)=0.0_dp |
---|
| 3949 | mul_spin8_spin8%x(2)=0.0_dp |
---|
| 3950 | mul_spin8_spin8%x(3)=0.0_dp |
---|
| 3951 | |
---|
| 3952 | mul_spin8_spin8%x(1)=s1%x(2)*S2%x(3)-s1%x(3)*S2%x(2) |
---|
| 3953 | mul_spin8_spin8%x(2)=s1%x(3)*S2%x(1)-s1%x(1)*S2%x(3) |
---|
| 3954 | mul_spin8_spin8%x(3)=s1%x(1)*S2%x(2)-s1%x(2)*S2%x(1) |
---|
| 3955 | |
---|
| 3956 | master=localmaster |
---|
| 3957 | |
---|
| 3958 | END FUNCTION mul_spin8_spin8 |
---|
| 3959 | |
---|
| 3960 | FUNCTION sub_spin8_spin8(S1,S2) ! transforms spinor_8 s2 with damap s1 |
---|
| 3961 | implicit none |
---|
| 3962 | type(spinor_8) sub_spin8_spin8 |
---|
| 3963 | type(spinor_8), INTENT (IN) :: S1,S2 |
---|
| 3964 | integer i |
---|
| 3965 | integer localmaster |
---|
| 3966 | |
---|
| 3967 | |
---|
| 3968 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 3969 | localmaster=master |
---|
| 3970 | |
---|
| 3971 | call assp_master(sub_spin8_spin8%x(1)) |
---|
| 3972 | call assp_no_master(sub_spin8_spin8%x(2)) |
---|
| 3973 | call assp_no_master(sub_spin8_spin8%x(3)) |
---|
| 3974 | |
---|
| 3975 | sub_spin8_spin8%x(1)=0.0_dp |
---|
| 3976 | sub_spin8_spin8%x(2)=0.0_dp |
---|
| 3977 | sub_spin8_spin8%x(3)=0.0_dp |
---|
| 3978 | |
---|
| 3979 | do i=1,3 |
---|
| 3980 | sub_spin8_spin8%x(i)=s1%x(i)-S2%x(i) |
---|
| 3981 | enddo |
---|
| 3982 | |
---|
| 3983 | master=localmaster |
---|
| 3984 | |
---|
| 3985 | END FUNCTION sub_spin8_spin8 |
---|
| 3986 | |
---|
| 3987 | function eval_spinor_8(s,x) |
---|
| 3988 | implicit none |
---|
| 3989 | TYPE(spinor) eval_spinor_8 |
---|
| 3990 | TYPE(spinor_8), INTENT(IN) :: s |
---|
| 3991 | real(dp), INTENT(IN) :: x(lnv) |
---|
| 3992 | integer i |
---|
| 3993 | |
---|
| 3994 | |
---|
| 3995 | do i=1,3 |
---|
| 3996 | if(s%x(i)%kind==2) then |
---|
| 3997 | eval_spinor_8%x(i)=s%x(i)%t*x |
---|
| 3998 | endif |
---|
| 3999 | enddo |
---|
| 4000 | |
---|
| 4001 | end function eval_spinor_8 |
---|
| 4002 | |
---|
| 4003 | FUNCTION concatxp(S2,x) |
---|
| 4004 | implicit none |
---|
| 4005 | TYPE (damapspin) concatxp |
---|
| 4006 | TYPE (damapspin), INTENT (IN) :: S2 |
---|
| 4007 | real(dp), INTENT (IN) :: x(lnv) |
---|
| 4008 | integer localmaster |
---|
| 4009 | |
---|
| 4010 | |
---|
| 4011 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 4012 | localmaster=master |
---|
| 4013 | |
---|
| 4014 | call ass(concatxp) |
---|
| 4015 | |
---|
| 4016 | call eval_spin_matrix(S2,x,concatxp) |
---|
| 4017 | |
---|
| 4018 | master=localmaster |
---|
| 4019 | |
---|
| 4020 | END FUNCTION concatxp |
---|
| 4021 | |
---|
| 4022 | |
---|
| 4023 | FUNCTION addm(S2,S1) ! adds spin part of s1 and s2 |
---|
| 4024 | implicit none |
---|
| 4025 | TYPE (damapspin) addm |
---|
| 4026 | TYPE (damapspin), INTENT (IN) :: S1, S2 |
---|
| 4027 | integer i,j |
---|
| 4028 | integer localmaster |
---|
| 4029 | |
---|
| 4030 | |
---|
| 4031 | IF(.NOT.C_%STABLE_DA) RETURN |
---|
| 4032 | localmaster=master |
---|
| 4033 | |
---|
| 4034 | call ass(addm) |
---|
| 4035 | |
---|
| 4036 | addm=s2 |
---|
| 4037 | |
---|
| 4038 | do i=1,3 |
---|
| 4039 | do j=1,3 |
---|
| 4040 | addm%s%s(i,j)=s2%s%s(i,j)+s1%s%s(i,j) |
---|
| 4041 | enddo |
---|
| 4042 | enddo |
---|
| 4043 | |
---|
| 4044 | |
---|
| 4045 | master=localmaster |
---|
| 4046 | |
---|
| 4047 | END FUNCTION addm |
---|
| 4048 | |
---|
| 4049 | |
---|
| 4050 | real(dp) function purge_transverse(j) |
---|
| 4051 | implicit none |
---|
| 4052 | integer i |
---|
| 4053 | ! INTEGER J(NTT) |
---|
| 4054 | integer,dimension(:)::j |
---|
| 4055 | if(.not.c_%stable_da) return |
---|
| 4056 | |
---|
| 4057 | purge_transverse=1.0_dp |
---|
| 4058 | |
---|
| 4059 | |
---|
| 4060 | do i=1,c_%nd2 |
---|
| 4061 | |
---|
| 4062 | if(i/=c_%ndpt) then |
---|
| 4063 | if(j(i)/=0) then |
---|
| 4064 | purge_transverse=0.0_dp |
---|
| 4065 | exit |
---|
| 4066 | endif |
---|
| 4067 | endif |
---|
| 4068 | enddo |
---|
| 4069 | |
---|
| 4070 | return |
---|
| 4071 | end function purge_transverse |
---|
| 4072 | |
---|
| 4073 | subroutine clean_orbital_33(s,sf) |
---|
| 4074 | implicit none |
---|
| 4075 | TYPE (real_8), intent(inout) :: s(3,3),sf(3,3) |
---|
| 4076 | integer i,j |
---|
| 4077 | type(taylor) t |
---|
| 4078 | logical doflip |
---|
| 4079 | call alloc(t) |
---|
| 4080 | |
---|
| 4081 | if(perform_flip.and.new_ndpt.and.c_%ndpt/=0) then |
---|
| 4082 | perform_flip=.false. |
---|
| 4083 | do i=1,3 |
---|
| 4084 | do j=1,3 |
---|
| 4085 | if(s(i,j)%kind==2) call fliptaylor(s(i,j)%t,s(i,j)%t,1) |
---|
| 4086 | enddo |
---|
| 4087 | enddo |
---|
| 4088 | doflip=.true. |
---|
| 4089 | else |
---|
| 4090 | doflip=.false. |
---|
| 4091 | endif |
---|
| 4092 | |
---|
| 4093 | do i=1,3 |
---|
| 4094 | do j=1,3 |
---|
| 4095 | if(s(i,j)%kind==2) then |
---|
| 4096 | call cfu(s(i,j)%t,purge_transverse,t) |
---|
| 4097 | sf(i,j)=t |
---|
| 4098 | else |
---|
| 4099 | sf(i,j)=s(i,j) |
---|
| 4100 | endif |
---|
| 4101 | enddo |
---|
| 4102 | enddo |
---|
| 4103 | call kill(t) |
---|
| 4104 | |
---|
| 4105 | if(doflip) then |
---|
| 4106 | do i=1,3 |
---|
| 4107 | do j=1,3 |
---|
| 4108 | if(s(i,j)%kind==2) call fliptaylor(s(i,j)%t,s(i,j)%t,-1) |
---|
| 4109 | if(s(i,j)%kind==2.and.s(i,j)%t%i/=sf(i,j)%t%i) then |
---|
| 4110 | call fliptaylor(sf(i,j)%t,sf(i,j)%t,-1) |
---|
| 4111 | endif |
---|
| 4112 | enddo |
---|
| 4113 | enddo |
---|
| 4114 | perform_flip=.true. |
---|
| 4115 | endif |
---|
| 4116 | |
---|
| 4117 | |
---|
| 4118 | end subroutine clean_orbital_33 |
---|
| 4119 | |
---|
| 4120 | !!!!!!!!!! Normal form !!!!!!!!!!!!!!! |
---|
| 4121 | |
---|
| 4122 | subroutine alloc_normal_spin(D) |
---|
| 4123 | implicit none |
---|
| 4124 | TYPE(normal_spin), INTENT(INOUT) :: D |
---|
| 4125 | |
---|
| 4126 | CALL alloc(D%n0,3) |
---|
| 4127 | CALL alloc(D%theta0) |
---|
| 4128 | CALL alloc(D%n) |
---|
| 4129 | CALL alloc(D%a_t) |
---|
| 4130 | CALL alloc(D%as) |
---|
| 4131 | CALL alloc(D%a1) |
---|
| 4132 | CALL alloc(D%ar) |
---|
| 4133 | D%NRES=0 |
---|
| 4134 | D%M=0 |
---|
| 4135 | D%Ms=0 |
---|
| 4136 | D%s_ij0=0.0_dp |
---|
| 4137 | D%s_ijr=0.0_dp |
---|
| 4138 | D%emittance=0.0_dp |
---|
| 4139 | D%tune=0.0_dp |
---|
| 4140 | D%damping=0.0_dp |
---|
| 4141 | D%AUTO=my_true |
---|
| 4142 | D%STOCHASTIC=my_false |
---|
| 4143 | D%STOCH=0.0_dp |
---|
| 4144 | D%STOCH_inv=0.0_dp |
---|
| 4145 | D%nu=0.0_dp |
---|
| 4146 | |
---|
| 4147 | END subroutine alloc_normal_spin |
---|
| 4148 | |
---|
| 4149 | subroutine KILL_normal_spin(D) |
---|
| 4150 | implicit none |
---|
| 4151 | TYPE(normal_spin), INTENT(INOUT) :: D |
---|
| 4152 | |
---|
| 4153 | CALL KILL(D%n0,3) |
---|
| 4154 | CALL KILL(D%theta0) |
---|
| 4155 | CALL KILL(D%n) |
---|
| 4156 | CALL KILL(D%a_t) |
---|
| 4157 | CALL KILL(D%as) |
---|
| 4158 | CALL KILL(D%a1) |
---|
| 4159 | CALL KILL(D%ar) |
---|
| 4160 | |
---|
| 4161 | END subroutine KILL_normal_spin |
---|
| 4162 | |
---|
| 4163 | !!!!!!!!!!!!!!!! new stuff |
---|
| 4164 | subroutine Go_to_closed(ns,DS,spin_in) |
---|
| 4165 | implicit none |
---|
| 4166 | TYPE(normal_spin), INTENT(INOUT) :: ns |
---|
| 4167 | TYPE(damapspin), INTENT(INout) :: DS |
---|
| 4168 | logical(lp), INTENT(IN) :: spin_in |
---|
| 4169 | logical(lp) rad_in |
---|
| 4170 | type(damapspin) a1i,ds0 |
---|
| 4171 | type(damapspin)s ,a ,ai |
---|
| 4172 | type(taylor) nn |
---|
| 4173 | type(real_8) a11,a13 |
---|
| 4174 | integer i,j,jj(lnv) |
---|
| 4175 | real(dp) ss(3,3) |
---|
| 4176 | !!!!!!!!!! wrapping for radiation !!!!!!!!!!!!!!!!!!! |
---|
| 4177 | type(radtaylor) ys(ndim2) |
---|
| 4178 | type(beamenvelope) env |
---|
| 4179 | |
---|
| 4180 | |
---|
| 4181 | call alloc(a1i) |
---|
| 4182 | call alloc(ds0) |
---|
| 4183 | call alloc(s) |
---|
| 4184 | call alloc(a) |
---|
| 4185 | call alloc(ai) |
---|
| 4186 | call alloc(nn) |
---|
| 4187 | call alloc(a11,a13) |
---|
| 4188 | |
---|
| 4189 | ns%as=1 ! damapspin to fix point |
---|
| 4190 | |
---|
| 4191 | ns%n=ds%m ! ORBITAL NORMALIZATION |
---|
| 4192 | |
---|
| 4193 | ns%as%m=ns%n%a1 ! fix point map a1 of orbital normal form |
---|
| 4194 | |
---|
| 4195 | a1i=ns%as**(-1) ! fix point map a1 of orbital normal form |
---|
| 4196 | |
---|
| 4197 | |
---|
| 4198 | DS0=a1i*ds*ns%as |
---|
| 4199 | ! DS0=a1i*ds*ns%as ! at this stage ds0 is the map around the fixed point |
---|
| 4200 | ! but spin matrix unchanged except for its dependence on transverse |
---|
| 4201 | |
---|
| 4202 | !!!!!!!!!! wrapping for radiation !!!!!!!!!!!!!!!!!!! |
---|
| 4203 | !!!!!!!!!! later to be change changed !!!!!!!!!!!!!!! |
---|
| 4204 | call check_rad(ds%e_ij,rad_in) |
---|
| 4205 | if(rad_in) then |
---|
| 4206 | if(c_%no==1) then |
---|
| 4207 | call normalize_envelope(ns,DS) |
---|
| 4208 | Write(6,*) "New envelope calculation attempted with NO=1 " |
---|
| 4209 | else |
---|
| 4210 | call alloc(ys,6) |
---|
| 4211 | call alloc(env) |
---|
| 4212 | jj=0 |
---|
| 4213 | do i=1,6 |
---|
| 4214 | ys(i)%v=ds%m%v(i) |
---|
| 4215 | do j=1,6 |
---|
| 4216 | ys(i)%e(j)=ds%e_ij(i,j) |
---|
| 4217 | enddo |
---|
| 4218 | enddo |
---|
| 4219 | env%stochastic=ns%stochastic |
---|
| 4220 | env%auto=ns%auto |
---|
| 4221 | env=ys |
---|
| 4222 | |
---|
| 4223 | ns%s_ij0 = env%s_ij0 |
---|
| 4224 | ns%emittance = env%emittance |
---|
| 4225 | ns%KICK = env%KICK |
---|
| 4226 | do i=1,6 |
---|
| 4227 | do j=1,6 |
---|
| 4228 | jj(j)=1 |
---|
| 4229 | ns%STOCH(i,j) = env%STOCH%v(i).sub.jj |
---|
| 4230 | jj(j)=0 |
---|
| 4231 | enddo |
---|
| 4232 | enddo |
---|
| 4233 | |
---|
| 4234 | call kill(env) |
---|
| 4235 | call kill(ys,6) |
---|
| 4236 | endif |
---|
| 4237 | endif |
---|
| 4238 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
| 4239 | s=1 |
---|
| 4240 | a=1 |
---|
| 4241 | ai=1 |
---|
| 4242 | |
---|
| 4243 | call clean_orbital_33(ds0%s%s,s%s%s) |
---|
| 4244 | ! at this stage s is the spin map without dependence on orbital |
---|
| 4245 | |
---|
| 4246 | if(spin_in) then !!!! spin in |
---|
| 4247 | call find_n0(s%s%s,ns%n0) |
---|
| 4248 | |
---|
| 4249 | call find_a(ns%n0,a%s%s) |
---|
| 4250 | |
---|
| 4251 | ai=a**(-1) |
---|
| 4252 | |
---|
| 4253 | s=(ai*s)*a |
---|
| 4254 | |
---|
| 4255 | !write(6,*) " diagonal " |
---|
| 4256 | ! do i=1,3 |
---|
| 4257 | ! do j=1,3 |
---|
| 4258 | ! ss(i,j)=s%s(i,j) |
---|
| 4259 | ! enddo |
---|
| 4260 | ! write(6,*) ss(i,1:3) |
---|
| 4261 | ! enddo |
---|
| 4262 | |
---|
| 4263 | !pause 777 |
---|
| 4264 | |
---|
| 4265 | a11=s%s%s(1,1) |
---|
| 4266 | a13=s%s%s(1,3) |
---|
| 4267 | |
---|
| 4268 | ns%theta0=clockwise*atan2(a13,a11) |
---|
| 4269 | ns%nu=ns%theta0/twopi |
---|
| 4270 | if(force_positive.and.ns%theta0<0.0_dp) ns%theta0 = ns%theta0 + twopi !!!! allow negative theta0 |
---|
| 4271 | |
---|
| 4272 | ns%as=ns%as*a |
---|
| 4273 | |
---|
| 4274 | ns%ar=1 |
---|
| 4275 | ns%ar%m=ns%as%m**(-1)*ns%n%a_t |
---|
| 4276 | else |
---|
| 4277 | ns%ar=1 |
---|
| 4278 | ns%ar%m=ns%as%m**(-1)*ns%n%a_t |
---|
| 4279 | |
---|
| 4280 | ns%theta0=0.0_dp ! arbitrary junk |
---|
| 4281 | ns%n0(1)=0.0_dp ! arbitrary junk |
---|
| 4282 | ns%n0(2)=1.0_dp ! arbitrary junk |
---|
| 4283 | ns%n0(3)=0.0_dp ! arbitrary junk |
---|
| 4284 | endif |
---|
| 4285 | |
---|
| 4286 | call kill(a1i) |
---|
| 4287 | call kill(ds0) |
---|
| 4288 | call kill(s) |
---|
| 4289 | call kill(a) |
---|
| 4290 | call kill(ai) |
---|
| 4291 | |
---|
| 4292 | call kill(a11,a13) |
---|
| 4293 | call kill(nn) |
---|
| 4294 | |
---|
| 4295 | end subroutine Go_to_closed |
---|
| 4296 | |
---|
| 4297 | subroutine normalize_envelope(norm_spin,m_spin) |
---|
| 4298 | implicit none |
---|
| 4299 | type(normal_spin) norm_spin |
---|
| 4300 | type(damapspin) m_spin |
---|
| 4301 | type(normalform) norm |
---|
| 4302 | type(damap) m |
---|
| 4303 | integer i,j,i1,i2 |
---|
| 4304 | real(dp) a(6,6),ai(6,6),ait(6,6),mat(6,6), sigma_inf(6,6),at(6,6),br(6,6) |
---|
| 4305 | complex(dp) c(6,6),ci(6,6),cit(6,6), b(6,6),ct(6,6) |
---|
| 4306 | complex(dp) coef,ba(6,6),b_phasor(6,6) |
---|
| 4307 | complex(dp) R(6,6),r_phasor(6,6), sigma_inf_phasor(6,6) |
---|
| 4308 | real(dp) xj(6,6),mj(6,6),xn,jb(6,6),bs(6,6) |
---|
| 4309 | |
---|
| 4310 | b=m_spin%e_ij |
---|
| 4311 | bs=m_spin%e_ij |
---|
| 4312 | |
---|
| 4313 | c=0.0_dp |
---|
| 4314 | ci=0.0_dp |
---|
| 4315 | do i=1,3 |
---|
| 4316 | do j=1,3 |
---|
| 4317 | xj(2*i,2*i-1)=-1.0_dp |
---|
| 4318 | xj(2*i-1,2*i)=1.0_dp |
---|
| 4319 | c(2*i-1,2*i-1)=0.5_dp |
---|
| 4320 | c(2*i-1,2*i)=0.5_dp |
---|
| 4321 | c(2*i,2*i-1)=0.5_dp/i_ |
---|
| 4322 | c(2*i,2*i)=-0.5_dp/i_ |
---|
| 4323 | ci(2*i-1,2*i-1)=1.0_dp |
---|
| 4324 | ci(2*i-1,2*i)=i_ |
---|
| 4325 | ci(2*i,2*i-1)=1.0_dp |
---|
| 4326 | ci(2*i,2*i)=-i_ |
---|
| 4327 | enddo |
---|
| 4328 | enddo |
---|
| 4329 | |
---|
| 4330 | mat=m_spin%m |
---|
| 4331 | a=norm_spin%n%a_t |
---|
| 4332 | ai=norm_spin%n%a_t**(-1) |
---|
| 4333 | ait=transpose(ai) |
---|
| 4334 | at=transpose(a) |
---|
| 4335 | cit=transpose(ci) |
---|
| 4336 | ct=transpose(c) |
---|
| 4337 | |
---|
| 4338 | R=matmul(matmul(ai,b),ait) |
---|
| 4339 | |
---|
| 4340 | ba=matmul(matmul(ai,b),ait) |
---|
| 4341 | |
---|
| 4342 | b_phasor=matmul(matmul(ci,ba),cit) |
---|
| 4343 | |
---|
| 4344 | r=matmul(matmul(ai,mat),a) |
---|
| 4345 | r_phasor=matmul(matmul(ci,r),c) |
---|
| 4346 | |
---|
| 4347 | do i=1,6 |
---|
| 4348 | do j=1,6 |
---|
| 4349 | sigma_inf_phasor(i,j)= r_phasor(i,i)*r_phasor(j,j)/(1.0_dp-r_phasor(i,i)*r_phasor(j,j))*b_phasor(i,j) |
---|
| 4350 | enddo |
---|
| 4351 | enddo |
---|
| 4352 | do i=1,3 |
---|
| 4353 | norm_spin%emittance(i)=sigma_inf_phasor(2*i-1,2*i)/2.0_dp |
---|
| 4354 | enddo |
---|
| 4355 | |
---|
| 4356 | sigma_inf=matmul(matmul(c,sigma_inf_phasor),ct) |
---|
| 4357 | sigma_inf=matmul(matmul(a,sigma_inf),at) |
---|
| 4358 | |
---|
| 4359 | norm_spin%s_ij0=sigma_inf |
---|
| 4360 | norm_spin%s_ijr=sigma_inf_phasor |
---|
| 4361 | |
---|
| 4362 | norm_spin%tune=norm_spin%n%tune(1:3) |
---|
| 4363 | norm_spin%damping=norm_spin%n%damping(1:3) |
---|
| 4364 | |
---|
| 4365 | |
---|
| 4366 | |
---|
| 4367 | if(norm_spin%STOCHASTIC) then |
---|
| 4368 | call diagonalise_envelope_a(bs,br,a,ai,norm_spin%kick) !diagonalise_envelope_a(b,br,a,ai,kick) |
---|
| 4369 | norm_spin%STOCH=a |
---|
| 4370 | norm_spin%STOCH_inv=ai |
---|
| 4371 | endif |
---|
| 4372 | |
---|
| 4373 | end subroutine normalize_envelope |
---|
| 4374 | |
---|
| 4375 | subroutine fetch_s0(DS,s) |
---|
| 4376 | implicit none |
---|
| 4377 | TYPE(damapspin), INTENT(INout) :: DS |
---|
| 4378 | TYPE(damapspin), INTENT(INout) :: s |
---|
| 4379 | TYPE(damapspin) s0 |
---|
| 4380 | integer i,j |
---|
| 4381 | |
---|
| 4382 | call alloc(s0) |
---|
| 4383 | |
---|
| 4384 | s0=1 |
---|
| 4385 | |
---|
| 4386 | do i=1,3 |
---|
| 4387 | do j=1,3 |
---|
| 4388 | s0%s%s(i,j)=ds%s%s(i,j).sub.'0' |
---|
| 4389 | enddo |
---|
| 4390 | enddo |
---|
| 4391 | s=s0 |
---|
| 4392 | call kill(s0) |
---|
| 4393 | |
---|
| 4394 | end subroutine fetch_s0 |
---|
| 4395 | |
---|
| 4396 | |
---|
| 4397 | subroutine dalog_spinor_8(DS,n) |
---|
| 4398 | implicit none |
---|
| 4399 | TYPE(damapspin), INTENT(INout) :: DS |
---|
| 4400 | TYPE(spinor_8), INTENT(INout) :: n |
---|
| 4401 | TYPE(taylor) om(3) |
---|
| 4402 | integer i |
---|
| 4403 | call alloc(om) |
---|
| 4404 | |
---|
| 4405 | call dalog(DS,om) |
---|
| 4406 | |
---|
| 4407 | do i=1,3 |
---|
| 4408 | n%x(i)=morph(om(i)) |
---|
| 4409 | enddo |
---|
| 4410 | |
---|
| 4411 | call kill(om) |
---|
| 4412 | end subroutine dalog_spinor_8 |
---|
| 4413 | |
---|
| 4414 | subroutine factor_parameter_dependent_s0(DS,s0,NS,N_AXIS,DIR) |
---|
| 4415 | implicit none |
---|
| 4416 | TYPE(damapspin), INTENT(INout) :: DS,s0,NS |
---|
| 4417 | TYPE(damapspin)A_F,A_S |
---|
| 4418 | TYPE(spinor_8), INTENT(INout) :: N_AXIS |
---|
| 4419 | INTEGER DIR |
---|
| 4420 | |
---|
| 4421 | CALL ALLOC(A_F,A_S) |
---|
| 4422 | |
---|
| 4423 | A_f=DS |
---|
| 4424 | a_f%m=1 |
---|
| 4425 | CALL clean_orbital_33(A_f%S%s,A_f%S%s) |
---|
| 4426 | A_S=DS |
---|
| 4427 | a_s%m=1 |
---|
| 4428 | IF(DIR==1) THEN |
---|
| 4429 | a_S=a_f**(-1)*a_s ! =s0*ns |
---|
| 4430 | ELSE |
---|
| 4431 | a_S=a_s*a_f**(-1) ! =ns*s0 of course s0 is different |
---|
| 4432 | ENDIF |
---|
| 4433 | CALL dalog_spinor_8(a_S,N_AXIS) ! S=exp(N_AXIS) |
---|
| 4434 | S0=A_F |
---|
| 4435 | NS=A_S |
---|
| 4436 | |
---|
| 4437 | |
---|
| 4438 | CALL KILL(A_F,A_S) |
---|
| 4439 | |
---|
| 4440 | END subroutine factor_parameter_dependent_s0 |
---|
| 4441 | |
---|
| 4442 | |
---|
| 4443 | subroutine factor_s0(DS,s0,NS,N_AXIS,DIR) |
---|
| 4444 | implicit none |
---|
| 4445 | TYPE(damapspin), INTENT(INout) :: DS,s0,NS |
---|
| 4446 | TYPE(damapspin)A_F,A_S |
---|
| 4447 | TYPE(spinor_8), INTENT(INout) :: N_AXIS |
---|
| 4448 | INTEGER DIR |
---|
| 4449 | |
---|
| 4450 | CALL ALLOC(A_F,A_S) |
---|
| 4451 | |
---|
| 4452 | A_f=DS |
---|
| 4453 | a_f%m=1 |
---|
| 4454 | CALL fetch_s0(A_f,A_f) |
---|
| 4455 | A_S=DS |
---|
| 4456 | a_s%m=1 |
---|
| 4457 | IF(DIR==1) THEN |
---|
| 4458 | a_S=a_f*a_s**(-1) ! angle has no constant part (DA) BUT PARAMETERS |
---|
| 4459 | ELSE |
---|
| 4460 | a_S=a_f**(-1)*a_s ! angle has no constant part (DA) |
---|
| 4461 | ENDIF |
---|
| 4462 | CALL dalog_spinor_8(a_S,N_AXIS) ! S=exp(N_AXIS) |
---|
| 4463 | S0=A_F |
---|
| 4464 | NS=A_S |
---|
| 4465 | |
---|
| 4466 | |
---|
| 4467 | CALL KILL(A_F,A_S) |
---|
| 4468 | |
---|
| 4469 | END subroutine factor_s0 |
---|
| 4470 | |
---|
| 4471 | |
---|
| 4472 | subroutine dalog(DS,om) |
---|
| 4473 | implicit none |
---|
| 4474 | TYPE(damapspin), INTENT(INout) :: DS |
---|
| 4475 | TYPE(taylor), INTENT(INout) :: om(3) |
---|
| 4476 | TYPE(damapspin) h |
---|
| 4477 | integer i |
---|
| 4478 | TYPE(damapspin) dh,dhn |
---|
| 4479 | real(dp) c,cl |
---|
| 4480 | call alloc(h) |
---|
| 4481 | call alloc(dh) |
---|
| 4482 | call alloc(dhn) |
---|
| 4483 | ! this only works with a da-map |
---|
| 4484 | |
---|
| 4485 | dh=ds |
---|
| 4486 | dh%m=1 |
---|
| 4487 | h=0 |
---|
| 4488 | dhn=1 |
---|
| 4489 | dh%s%s(1,1)=dh%s%s(1,1)-1.0_dp |
---|
| 4490 | dh%s%s(2,2)=dh%s%s(2,2)-1.0_dp |
---|
| 4491 | dh%s%s(3,3)=dh%s%s(3,3)-1.0_dp |
---|
| 4492 | |
---|
| 4493 | c=1.0_dp |
---|
| 4494 | do i=1,c_%no |
---|
| 4495 | dhn=dhn*dh |
---|
| 4496 | cl=c/i |
---|
| 4497 | h=h+cl*dhn |
---|
| 4498 | c=-c |
---|
| 4499 | enddo |
---|
| 4500 | |
---|
| 4501 | om(1)=h%s%s(3,2) |
---|
| 4502 | om(2)=h%s%s(1,3) |
---|
| 4503 | om(3)=h%s%s(2,1) |
---|
| 4504 | |
---|
| 4505 | call kill(h) |
---|
| 4506 | call kill(dh) |
---|
| 4507 | call kill(dhn) |
---|
| 4508 | |
---|
| 4509 | end subroutine dalog |
---|
| 4510 | |
---|
| 4511 | subroutine daexplog(om,ds) |
---|
| 4512 | implicit none |
---|
| 4513 | TYPE(damapspin), INTENT(INout) :: DS |
---|
| 4514 | TYPE(taylor), INTENT(INout) :: om(3) |
---|
| 4515 | integer i |
---|
| 4516 | TYPE(damapspin) dh,dhn |
---|
| 4517 | real(dp) c |
---|
| 4518 | call alloc(dh) |
---|
| 4519 | call alloc(dhn) |
---|
| 4520 | ! this only works with a da-map |
---|
| 4521 | ds=1 |
---|
| 4522 | dh%m=1 |
---|
| 4523 | dh%s%s(2,1)=om(3) |
---|
| 4524 | dh%s%s(1,3)=om(2) |
---|
| 4525 | dh%s%s(3,2)=om(1) |
---|
| 4526 | dh%s%s(1,2)=-om(3) |
---|
| 4527 | dh%s%s(3,1)=-om(2) |
---|
| 4528 | dh%s%s(2,3)=-om(1) |
---|
| 4529 | dhn=1 |
---|
| 4530 | c=1.0_dp |
---|
| 4531 | do i=1,c_%no |
---|
| 4532 | dhn=dhn*dh |
---|
| 4533 | c=c/i |
---|
| 4534 | ds=ds+c*dhn |
---|
| 4535 | enddo |
---|
| 4536 | |
---|
| 4537 | |
---|
| 4538 | call kill(dh) |
---|
| 4539 | call kill(dhn) |
---|
| 4540 | |
---|
| 4541 | end subroutine daexplog |
---|
| 4542 | |
---|
| 4543 | subroutine get_kernel(ns,om,oma) |
---|
| 4544 | implicit none |
---|
| 4545 | TYPE(normal_spin), INTENT(INout) :: ns |
---|
| 4546 | TYPE(taylor), INTENT(INout) :: om(3),oma(3) |
---|
| 4547 | type(taylorresonance) t |
---|
| 4548 | TYPE(complextaylor) omr(3),omc(3) |
---|
| 4549 | integer N,i,nd,j |
---|
| 4550 | integer, allocatable :: jc(:) |
---|
| 4551 | real(dp) value,ang,tune(4) |
---|
| 4552 | complex(dp) denom |
---|
| 4553 | logical doit,doflip |
---|
| 4554 | |
---|
| 4555 | if(perform_flip.and.new_ndpt.and.c_%ndpt/=0) then |
---|
| 4556 | perform_flip=.false. |
---|
| 4557 | call fliptaylor(om(1),om(1),1) |
---|
| 4558 | call fliptaylor(om(2),om(2),1) |
---|
| 4559 | call fliptaylor(om(3),om(3),1) |
---|
| 4560 | call flip_real_array(ns%n%tune,ns%n%tune,1) |
---|
| 4561 | if(use_ptc_ac_position) then |
---|
| 4562 | call flip_resonance(ns%m,ns%m,1) |
---|
| 4563 | endif |
---|
| 4564 | doflip=.true. |
---|
| 4565 | else |
---|
| 4566 | doflip=.false. |
---|
| 4567 | endif |
---|
| 4568 | |
---|
| 4569 | |
---|
| 4570 | nd=c_%nd2/2 |
---|
| 4571 | if(c_%ndpt/=0) nd=nd-1 |
---|
| 4572 | |
---|
| 4573 | call alloc(omc,3) |
---|
| 4574 | call alloc(omr,3) |
---|
| 4575 | call alloc(t) |
---|
| 4576 | ! write(6,*) c_%nd2,c_%ndpt,nd |
---|
| 4577 | ! write(6,*) ns%n%tune |
---|
| 4578 | |
---|
| 4579 | |
---|
| 4580 | omc(1)= om(1)-i_*om(3) ! coeff of lambdda |
---|
| 4581 | omc(3)= om(1)+i_*om(3) ! coeff of lambdda* |
---|
| 4582 | omc(2)= om(2) |
---|
| 4583 | |
---|
| 4584 | allocate(jc(c_%nv)) |
---|
| 4585 | |
---|
| 4586 | |
---|
| 4587 | ! om(2) is always real!!! |
---|
| 4588 | t=omc(2)%r |
---|
| 4589 | ! cos part of omc(2) !!! |
---|
| 4590 | |
---|
| 4591 | call taylor_cycle(t%cos,size=n) |
---|
| 4592 | |
---|
| 4593 | do i=1,n |
---|
| 4594 | call taylor_cycle(t%cos,ii=i,value=value,j=jc) |
---|
| 4595 | |
---|
| 4596 | call test_jc(ns,jc,nd,doit) |
---|
| 4597 | |
---|
| 4598 | if(doit) then |
---|
| 4599 | ang=0.0_dp |
---|
| 4600 | do j=1,nd |
---|
| 4601 | ang=(jc(j*2-1)-jc(j*2))*twopi*ns%n%tune(j)+ang |
---|
| 4602 | enddo |
---|
| 4603 | denom=value/(exp(-i_*ang)-1.0_dp) |
---|
| 4604 | omr(2)=omr(2)+ (denom.mono.jc) |
---|
| 4605 | endif |
---|
| 4606 | enddo |
---|
| 4607 | |
---|
| 4608 | ! sin part of om(2) |
---|
| 4609 | call taylor_cycle(t%sin,size=N) |
---|
| 4610 | |
---|
| 4611 | do i=1,n |
---|
| 4612 | call taylor_cycle(t%sin,ii=i,value=value,j=jc) |
---|
| 4613 | |
---|
| 4614 | call test_jc(ns,jc,nd,doit) |
---|
| 4615 | |
---|
| 4616 | if(doit) then |
---|
| 4617 | ang=0.0_dp |
---|
| 4618 | do j=1,nd |
---|
| 4619 | ang=(jc(j*2-1)-jc(j*2))*twopi*ns%n%tune(j)+ang |
---|
| 4620 | enddo |
---|
| 4621 | denom=value/(exp(-i_*ang)-1.0_dp) |
---|
| 4622 | omr(2)=omr(2)+ i_*(denom.mono.jc) |
---|
| 4623 | endif |
---|
| 4624 | enddo |
---|
| 4625 | doit=.true. |
---|
| 4626 | ! real part of om(1) |
---|
| 4627 | t=omc(1)%r |
---|
| 4628 | call taylor_cycle(t%cos,N) |
---|
| 4629 | |
---|
| 4630 | do i=1,n |
---|
| 4631 | call taylor_cycle(t%cos,ii=i,value=value,j=jc) |
---|
| 4632 | |
---|
| 4633 | call test_jc_spin(ns,jc,clockwise,nd,doit) |
---|
| 4634 | |
---|
| 4635 | if(doit) then |
---|
| 4636 | ang=0.0_dp |
---|
| 4637 | do j=1,nd |
---|
| 4638 | ang=(jc(j*2-1)-jc(j*2))*twopi*ns%n%tune(j)+ang |
---|
| 4639 | enddo |
---|
| 4640 | denom=value/(exp(-i_*ang)-exp(clockwise*i_*ns%theta0)) |
---|
| 4641 | omr(1)=omr(1)+ (denom.mono.jc) |
---|
| 4642 | endif |
---|
| 4643 | enddo |
---|
| 4644 | |
---|
| 4645 | call taylor_cycle(t%SIN,N) |
---|
| 4646 | |
---|
| 4647 | do i=1,n |
---|
| 4648 | call taylor_cycle(t%SIN,ii=i,value=value,j=jc) |
---|
| 4649 | |
---|
| 4650 | call test_jc_spin(ns,jc,clockwise,nd,doit) |
---|
| 4651 | |
---|
| 4652 | if(doit) then |
---|
| 4653 | ang=0.0_dp |
---|
| 4654 | do j=1,nd |
---|
| 4655 | ang=(jc(j*2-1)-jc(j*2))*twopi*ns%n%tune(j)+ang |
---|
| 4656 | enddo |
---|
| 4657 | denom=value/(exp(-i_*ang)-exp(clockwise*i_*ns%theta0)) |
---|
| 4658 | omr(1)=omr(1)+ I_*(denom.mono.jc) |
---|
| 4659 | endif |
---|
| 4660 | enddo |
---|
| 4661 | |
---|
| 4662 | ! imaginary part of om(1) |
---|
| 4663 | t=omc(1)%i |
---|
| 4664 | call taylor_cycle(t%cos,N) |
---|
| 4665 | |
---|
| 4666 | do i=1,n |
---|
| 4667 | call taylor_cycle(t%cos,ii=i,value=value,j=jc) |
---|
| 4668 | |
---|
| 4669 | call test_jc_spin(ns,jc,clockwise,nd,doit) |
---|
| 4670 | |
---|
| 4671 | if(doit) then |
---|
| 4672 | ang=0.0_dp |
---|
| 4673 | do j=1,nd |
---|
| 4674 | ang=(jc(j*2-1)-jc(j*2))*twopi*ns%n%tune(j)+ang |
---|
| 4675 | enddo |
---|
| 4676 | denom=value/(exp(-i_*ang)-exp(clockwise*i_*ns%theta0)) |
---|
| 4677 | omr(1)=omr(1)+ i_*(denom.mono.jc) |
---|
| 4678 | endif |
---|
| 4679 | enddo |
---|
| 4680 | |
---|
| 4681 | call taylor_cycle(t%SIN,N) |
---|
| 4682 | |
---|
| 4683 | do i=1,n |
---|
| 4684 | call taylor_cycle(t%SIN,ii=i,value=value,j=jc) |
---|
| 4685 | |
---|
| 4686 | call test_jc_spin(ns,jc,clockwise,nd,doit) |
---|
| 4687 | |
---|
| 4688 | if(doit) then |
---|
| 4689 | ang=0.0_dp |
---|
| 4690 | do j=1,nd |
---|
| 4691 | ang=(jc(j*2-1)-jc(j*2))*twopi*ns%n%tune(j)+ang |
---|
| 4692 | enddo |
---|
| 4693 | denom=value/(exp(-i_*ang)-exp(clockwise*i_*ns%theta0)) |
---|
| 4694 | omr(1)=omr(1)-(denom.mono.jc) |
---|
| 4695 | endif |
---|
| 4696 | enddo |
---|
| 4697 | |
---|
| 4698 | ! real part of om(3) |
---|
| 4699 | t=omc(3)%r |
---|
| 4700 | call taylor_cycle(t%cos,N) |
---|
| 4701 | |
---|
| 4702 | do i=1,n |
---|
| 4703 | call taylor_cycle(t%cos,ii=i,value=value,j=jc) |
---|
| 4704 | |
---|
| 4705 | call test_jc_spin(ns,jc,-clockwise,nd,doit) |
---|
| 4706 | |
---|
| 4707 | if(doit) then |
---|
| 4708 | ang=0.0_dp |
---|
| 4709 | do j=1,nd |
---|
| 4710 | ang=(jc(j*2-1)-jc(j*2))*twopi*ns%n%tune(j)+ang |
---|
| 4711 | enddo |
---|
| 4712 | denom=value/(exp(-i_*ang)-exp(-clockwise*i_*ns%theta0)) |
---|
| 4713 | omr(3)=omr(3)+ (denom.mono.jc) |
---|
| 4714 | endif |
---|
| 4715 | enddo |
---|
| 4716 | |
---|
| 4717 | call taylor_cycle(t%SIN,N) |
---|
| 4718 | |
---|
| 4719 | do i=1,n |
---|
| 4720 | call taylor_cycle(t%SIN,ii=i,value=value,j=jc) |
---|
| 4721 | |
---|
| 4722 | call test_jc_spin(ns,jc,-clockwise,nd,doit) |
---|
| 4723 | |
---|
| 4724 | if(doit) then |
---|
| 4725 | ang=0.0_dp |
---|
| 4726 | do j=1,nd |
---|
| 4727 | ang=(jc(j*2-1)-jc(j*2))*twopi*ns%n%tune(j)+ang |
---|
| 4728 | enddo |
---|
| 4729 | denom=value/(exp(-i_*ang)-exp(-clockwise*i_*ns%theta0)) |
---|
| 4730 | omr(3)=omr(3)+ I_*(denom.mono.jc) |
---|
| 4731 | endif |
---|
| 4732 | enddo |
---|
| 4733 | |
---|
| 4734 | ! imaginary part of om(3) |
---|
| 4735 | t=omc(3)%i |
---|
| 4736 | call taylor_cycle(t%cos,N) |
---|
| 4737 | |
---|
| 4738 | do i=1,n |
---|
| 4739 | call taylor_cycle(t%cos,ii=i,value=value,j=jc) |
---|
| 4740 | |
---|
| 4741 | call test_jc_spin(ns,jc,-clockwise,nd,doit) |
---|
| 4742 | |
---|
| 4743 | if(doit) then |
---|
| 4744 | ang=0.0_dp |
---|
| 4745 | do j=1,nd |
---|
| 4746 | ang=(jc(j*2-1)-jc(j*2))*twopi*ns%n%tune(j)+ang |
---|
| 4747 | enddo |
---|
| 4748 | denom=value/(exp(-i_*ang)-exp(-clockwise*i_*ns%theta0)) |
---|
| 4749 | omr(3)=omr(3)+ i_*(denom.mono.jc) |
---|
| 4750 | endif |
---|
| 4751 | enddo |
---|
| 4752 | |
---|
| 4753 | call taylor_cycle(t%SIN,N) |
---|
| 4754 | |
---|
| 4755 | do i=1,n |
---|
| 4756 | call taylor_cycle(t%SIN,ii=i,value=value,j=jc) |
---|
| 4757 | |
---|
| 4758 | call test_jc_spin(ns,jc,-clockwise,nd,doit) |
---|
| 4759 | |
---|
| 4760 | if(doit) then |
---|
| 4761 | ang=0.0_dp |
---|
| 4762 | do j=1,nd |
---|
| 4763 | ang=(jc(j*2-1)-jc(j*2))*twopi*ns%n%tune(j)+ang |
---|
| 4764 | enddo |
---|
| 4765 | denom=value/(exp(-i_*ang)-exp(-clockwise*i_*ns%theta0)) |
---|
| 4766 | omr(3)=omr(3)-(denom.mono.jc) |
---|
| 4767 | endif |
---|
| 4768 | enddo |
---|
| 4769 | 1111 continue |
---|
| 4770 | call kill(omc,3) |
---|
| 4771 | call alloc(omc,3) |
---|
| 4772 | |
---|
| 4773 | omc(1)= (omr(3)+omr(1))/2.0_dp |
---|
| 4774 | omc(3)= (omr(3)-omr(1))/2.0_dp/i_ |
---|
| 4775 | omc(2)=omr(2) |
---|
| 4776 | |
---|
| 4777 | do i=1,3 |
---|
| 4778 | t%cos=omc(i)%r |
---|
| 4779 | t%sin=omc(i)%i |
---|
| 4780 | oma(i)=t |
---|
| 4781 | enddo |
---|
| 4782 | |
---|
| 4783 | if(doflip) then |
---|
| 4784 | call flip_real_array(ns%n%tune,ns%n%tune,-1) |
---|
| 4785 | call fliptaylor(om(1),om(1),-1) |
---|
| 4786 | call fliptaylor(om(2),om(2),-1) |
---|
| 4787 | call fliptaylor(om(3),om(3),-1) |
---|
| 4788 | call fliptaylor(oma(1),oma(1),-1) |
---|
| 4789 | call fliptaylor(oma(2),oma(2),-1) |
---|
| 4790 | call fliptaylor(oma(3),oma(3),-1) |
---|
| 4791 | if(use_ptc_ac_position) then |
---|
| 4792 | call flip_resonance(ns%m,ns%m,-1) |
---|
| 4793 | endif |
---|
| 4794 | perform_flip=.true. |
---|
| 4795 | endif |
---|
| 4796 | |
---|
| 4797 | deallocate(jc) |
---|
| 4798 | call kill(t) |
---|
| 4799 | call kill(omr,3) |
---|
| 4800 | call kill(omc,3) |
---|
| 4801 | |
---|
| 4802 | end subroutine get_kernel |
---|
| 4803 | |
---|
| 4804 | subroutine test_jc(ns,jc,nd,doit) |
---|
| 4805 | implicit none |
---|
| 4806 | logical doit |
---|
| 4807 | integer i,nd,k,l,j |
---|
| 4808 | integer jc(:) |
---|
| 4809 | TYPE(normal_spin), INTENT(INout) :: ns |
---|
| 4810 | |
---|
| 4811 | doit=.true. |
---|
| 4812 | |
---|
| 4813 | k=0 |
---|
| 4814 | do i=1,nd |
---|
| 4815 | k=iabs(jc(i*2-1)-jc(i*2))+k |
---|
| 4816 | enddo |
---|
| 4817 | if(k==0) doit=.false. |
---|
| 4818 | |
---|
| 4819 | if(.not.doit) return |
---|
| 4820 | |
---|
| 4821 | do j=1,ns%n%nres |
---|
| 4822 | k=0 |
---|
| 4823 | l=0 |
---|
| 4824 | do i=1,nd |
---|
| 4825 | k=iabs(jc(i*2-1)-jc(i*2)-ns%n%m(i,j))+k |
---|
| 4826 | l=iabs(jc(i*2-1)-jc(i*2)+ns%n%m(i,j))+l |
---|
| 4827 | enddo |
---|
| 4828 | if(k==0.or.l==0) then |
---|
| 4829 | doit=.false. |
---|
| 4830 | exit |
---|
| 4831 | endif |
---|
| 4832 | enddo |
---|
| 4833 | |
---|
| 4834 | |
---|
| 4835 | end subroutine test_jc |
---|
| 4836 | |
---|
| 4837 | subroutine test_jc_spin(ns,jc,is,nd,doit) |
---|
| 4838 | implicit none |
---|
| 4839 | logical doit |
---|
| 4840 | integer i,nd,k,l,j,is |
---|
| 4841 | integer jc(:) |
---|
| 4842 | TYPE(normal_spin), INTENT(INout) :: ns |
---|
| 4843 | |
---|
| 4844 | doit=.true. |
---|
| 4845 | |
---|
| 4846 | ! write(6,*) jc(1:4),is |
---|
| 4847 | ! write(6,*) ns%m(1,1),ns%m(2,1),ns%ms(1) |
---|
| 4848 | |
---|
| 4849 | do j=1,ns%nres |
---|
| 4850 | k=0 |
---|
| 4851 | l=0 |
---|
| 4852 | do i=1,nd |
---|
| 4853 | k=iabs(jc(i*2-1)-jc(i*2)-ns%m(i,j))+k |
---|
| 4854 | l=iabs(jc(i*2-1)-jc(i*2)+ns%m(i,j))+l |
---|
| 4855 | enddo |
---|
| 4856 | k=k+iabs(is-ns%ms(j)) |
---|
| 4857 | l=l+iabs(is+ns%ms(j)) |
---|
| 4858 | if(k==0.or.l==0) then |
---|
| 4859 | doit=.false. |
---|
| 4860 | exit |
---|
| 4861 | endif |
---|
| 4862 | enddo |
---|
| 4863 | |
---|
| 4864 | |
---|
| 4865 | end subroutine test_jc_spin |
---|
| 4866 | |
---|
| 4867 | subroutine check_spin(DS,spin_in) |
---|
| 4868 | implicit none |
---|
| 4869 | logical(lp), INTENT(INout) :: spin_in |
---|
| 4870 | TYPE(damapspin), INTENT(IN) :: DS |
---|
| 4871 | integer i,j |
---|
| 4872 | real(dp) norm |
---|
| 4873 | |
---|
| 4874 | spin_in=.true. |
---|
| 4875 | norm=0.0_dp |
---|
| 4876 | do i=1,3 |
---|
| 4877 | do j=1,3 |
---|
| 4878 | norm=norm+full_abs(DS%s%s(i,j)) |
---|
| 4879 | enddo |
---|
| 4880 | enddo |
---|
| 4881 | norm=abs(norm-3.0_dp) |
---|
| 4882 | |
---|
| 4883 | if(norm<=eps_tpsalie) then |
---|
| 4884 | write(6,*) " Spin Map is identity : not normalized " |
---|
| 4885 | spin_in=.false. |
---|
| 4886 | endif |
---|
| 4887 | |
---|
| 4888 | end subroutine check_spin |
---|
| 4889 | |
---|
| 4890 | subroutine check_rad(e_ij,rad_in) |
---|
| 4891 | implicit none |
---|
| 4892 | logical(lp), INTENT(INout) :: rad_in |
---|
| 4893 | real(dp) e_ij(6,6) |
---|
| 4894 | integer i,j |
---|
| 4895 | real(dp) norm |
---|
| 4896 | |
---|
| 4897 | rad_in=.true. |
---|
| 4898 | norm=0.0_dp |
---|
| 4899 | do i=1,6 |
---|
| 4900 | do j=1,6 |
---|
| 4901 | norm=norm+abs(e_ij(i,j)) |
---|
| 4902 | enddo |
---|
| 4903 | enddo |
---|
| 4904 | |
---|
| 4905 | if(norm==0.0_dp) then |
---|
| 4906 | if(global_verbose) write(6,*) " Radiation Envelope is 0.0_dp : not printed " |
---|
| 4907 | rad_in=.false. |
---|
| 4908 | endif |
---|
| 4909 | |
---|
| 4910 | end subroutine check_rad |
---|
| 4911 | |
---|
| 4912 | subroutine normalise_spin(ns,DS_in) |
---|
| 4913 | implicit none |
---|
| 4914 | TYPE(normal_spin), INTENT(INout) :: ns |
---|
| 4915 | TYPE(damapspin), INTENT(IN) :: DS_in |
---|
| 4916 | TYPE(damapspin) ds,ds0,dst,dsi |
---|
| 4917 | TYPE(damap) r0 |
---|
| 4918 | type(taylor) om(3),oma(3) |
---|
| 4919 | integer i |
---|
| 4920 | logical(lp) spin_in |
---|
| 4921 | |
---|
| 4922 | call alloc(ds) |
---|
| 4923 | call alloc(dst) |
---|
| 4924 | call alloc(dsi) |
---|
| 4925 | call alloc(ds0) |
---|
| 4926 | call alloc(r0) |
---|
| 4927 | call alloc(om) |
---|
| 4928 | call alloc(oma) |
---|
| 4929 | spin_in=.false. |
---|
| 4930 | |
---|
| 4931 | call check_spin(DS_in,spin_in) |
---|
| 4932 | ds=ds_in |
---|
| 4933 | ! step 1 |
---|
| 4934 | ! Normalize to the parameter dependent n0 of the theory |
---|
| 4935 | call Go_to_closed(ns,DS,spin_in) |
---|
| 4936 | |
---|
| 4937 | ! step 2 |
---|
| 4938 | ! Apply the transformation found in step 1 to ds |
---|
| 4939 | ds=ns%as**(-1)*ds*ns%as |
---|
| 4940 | ! Apply the transformation found in step 1 to ds |
---|
| 4941 | ds=ns%ar**(-1)*ds*ns%ar ! around fixed point and transversely normalised |
---|
| 4942 | |
---|
| 4943 | call fetch_s0(DS,ds0) ! ds0=(I,exp(theta0 L_y) ) |
---|
| 4944 | |
---|
| 4945 | |
---|
| 4946 | ns%a_t=1 |
---|
| 4947 | r0=ns%n%normal |
---|
| 4948 | if(spin_in) then |
---|
| 4949 | |
---|
| 4950 | do i=1,c_%no+1 |
---|
| 4951 | |
---|
| 4952 | dst=ds*ds0**(-1) ! ds=exp(small)*ds0 |
---|
| 4953 | ! dst=exp(small) |
---|
| 4954 | |
---|
| 4955 | call dalog(DSt,om) ! small=log(dst) finite # of steps |
---|
| 4956 | |
---|
| 4957 | call get_kernel(ns,om,oma) |
---|
| 4958 | |
---|
| 4959 | call daexplog(oma,dsi) ! dsi=exp(oma(i)*L_i) |
---|
| 4960 | ns%a_t=ns%a_t*dsi ! updated a_t= a_t*dsi |
---|
| 4961 | |
---|
| 4962 | ds=ds*dsi ! ds=dsi**(-1) ds * dsi |
---|
| 4963 | dsi=dsi**(-1) ! eventually ds is normalized |
---|
| 4964 | ds=dsi*ds |
---|
| 4965 | enddo ! keep going |
---|
| 4966 | |
---|
| 4967 | endif |
---|
| 4968 | ns%a_t=ns%as*ns%ar*ns%a_t |
---|
| 4969 | |
---|
| 4970 | |
---|
| 4971 | dsi=ns%a_t |
---|
| 4972 | |
---|
| 4973 | ns%a1=1 |
---|
| 4974 | ns%a1%m=ns%n%a1 |
---|
| 4975 | |
---|
| 4976 | dsi=ns%a1**(-1)*ns%a_t |
---|
| 4977 | ns%as=dsi |
---|
| 4978 | ns%as%m=1 |
---|
| 4979 | ns%as=ns%as*dsi%m**(-1) |
---|
| 4980 | ns%ar=1 |
---|
| 4981 | ns%ar%m=dsi%m ! a_t= a1 o A_s o A_r |
---|
| 4982 | call kill(ds) |
---|
| 4983 | call kill(dst) |
---|
| 4984 | call kill(dsi) |
---|
| 4985 | call kill(ds0) |
---|
| 4986 | call kill(r0) |
---|
| 4987 | call kill(om) |
---|
| 4988 | call kill(oma) |
---|
| 4989 | end subroutine normalise_spin |
---|
| 4990 | |
---|
| 4991 | subroutine eval_spin_matrix(a_in,x,a_out) |
---|
| 4992 | implicit none |
---|
| 4993 | TYPE(damapspin), INTENT(IN) :: a_in |
---|
| 4994 | TYPE(damapspin), INTENT(out) :: a_out |
---|
| 4995 | TYPE(damapspin) a_temp |
---|
| 4996 | real(dp) x(lnv) |
---|
| 4997 | integer i,j |
---|
| 4998 | |
---|
| 4999 | call alloc(a_temp) |
---|
| 5000 | |
---|
| 5001 | do i=c_%nv+1,lnv |
---|
| 5002 | x(i)=0.0_dp |
---|
| 5003 | enddo |
---|
| 5004 | |
---|
| 5005 | a_temp=a_in |
---|
| 5006 | |
---|
| 5007 | do i=1,3 |
---|
| 5008 | do j=1,3 |
---|
| 5009 | if(a_in%s%s(i,j)%kind==2) then |
---|
| 5010 | a_temp%s%s(i,j)=a_in%s%s(i,j)%t*x |
---|
| 5011 | endif |
---|
| 5012 | enddo |
---|
| 5013 | enddo |
---|
| 5014 | a_out=a_temp |
---|
| 5015 | |
---|
| 5016 | call kill(a_temp) |
---|
| 5017 | |
---|
| 5018 | end subroutine eval_spin_matrix |
---|
| 5019 | |
---|
| 5020 | |
---|
| 5021 | subroutine factor_as(a_t,a_f,a_s,a_l,a_nl,DR,R_TE,CS_TE,COSLIKE,s0,s_nl) |
---|
| 5022 | implicit none |
---|
| 5023 | TYPE(damapspin), INTENT(INout) :: a_t,a_f,a_s,a_l,a_nl |
---|
| 5024 | logical(lp) lagrange0,factor_spin0 |
---|
| 5025 | TYPE(damapspin), optional, intent(inout) ::R_TE,CS_TE,DR,s0,s_nl |
---|
| 5026 | logical(lp) , optional, intent(inout) :: COSLIKE |
---|
| 5027 | TYPE(damapspin) rot_y,temp,tempi |
---|
| 5028 | |
---|
| 5029 | factor_spin0=my_false |
---|
| 5030 | if(present(s0).and.present(s_nl)) then |
---|
| 5031 | factor_spin0=my_true |
---|
| 5032 | elseif(.not.(present(s0)).and.(.not.present(s_nl))) then |
---|
| 5033 | ! do nothing |
---|
| 5034 | else |
---|
| 5035 | write(6,*) " error in factor_as " |
---|
| 5036 | stop 333 |
---|
| 5037 | endif |
---|
| 5038 | a_f=1 |
---|
| 5039 | a_l=1 |
---|
| 5040 | a_nl=1 |
---|
| 5041 | lagrange0=my_false |
---|
| 5042 | if(present(dr)) then |
---|
| 5043 | lagrange0=my_true |
---|
| 5044 | dr=1 |
---|
| 5045 | endif |
---|
| 5046 | if(present(R_TE).and.present(CS_TE)) then |
---|
| 5047 | R_TE=1 |
---|
| 5048 | CS_TE=1 |
---|
| 5049 | elseif((.not.present(R_TE)).and.(.not.present(CS_TE))) then |
---|
| 5050 | ! nothing to be done |
---|
| 5051 | else |
---|
| 5052 | write(6,*) " factor_as has an error: R_TE and CS_TE must be both present or absent " |
---|
| 5053 | stop 1068 |
---|
| 5054 | |
---|
| 5055 | endif |
---|
| 5056 | |
---|
| 5057 | call factor(a_t%m,a_f%m,a_l%m,a_nl%m,DR%m,R_TE%m,CS_TE%m,COSLIKE) |
---|
| 5058 | |
---|
| 5059 | if(lagrange0) then |
---|
| 5060 | a_s=1 |
---|
| 5061 | a_s%s=a_t%s |
---|
| 5062 | a_s=a_s*dr**(-1) |
---|
| 5063 | |
---|
| 5064 | call alloc(rot_y,temp,tempi) |
---|
| 5065 | if(factor_spin0) then |
---|
| 5066 | call remove_y_rot0(a_s,s0,s_nl,r_y=rot_y) |
---|
| 5067 | else |
---|
| 5068 | call remove_y_rot(a_s,r_y=rot_y) |
---|
| 5069 | endif |
---|
| 5070 | if(present(dr)) dr=dr*rot_y |
---|
| 5071 | call kill(rot_y,temp,tempi) |
---|
| 5072 | |
---|
| 5073 | a_t%s=a_s%s |
---|
| 5074 | endif |
---|
| 5075 | |
---|
| 5076 | |
---|
| 5077 | |
---|
| 5078 | a_s=a_f**(-1)*a_t |
---|
| 5079 | a_s%m=1 |
---|
| 5080 | a_s=a_s*a_t%m**(-1) |
---|
| 5081 | |
---|
| 5082 | |
---|
| 5083 | |
---|
| 5084 | |
---|
| 5085 | !!! this creates |
---|
| 5086 | |
---|
| 5087 | !! (a_t%m,a_t%s) = (a_f%m, I ) o (I ,a_s%s) o (a_l%m,I) o (a_nl%m,I) |
---|
| 5088 | |
---|
| 5089 | ! |
---|
| 5090 | !if(present(a_s0)) then |
---|
| 5091 | !a_s0=1 |
---|
| 5092 | !call clean_orbital_33(a_s%s,a_s0%s) |
---|
| 5093 | |
---|
| 5094 | !a_s=a_s0**(-1)*a_s |
---|
| 5095 | !endif |
---|
| 5096 | |
---|
| 5097 | |
---|
| 5098 | |
---|
| 5099 | end subroutine factor_as |
---|
| 5100 | |
---|
| 5101 | subroutine CANONIZE( a_t,A_cs,PHASE_ADVANCE,R_TE,CS_TE,COSLIKE ) |
---|
| 5102 | implicit none |
---|
| 5103 | TYPE(damap), INTENT(INout) :: a_t,A_cs |
---|
| 5104 | type(taylor),optional, INTENT(INout) :: PHASE_ADVANCE(:) |
---|
| 5105 | TYPE(damap), optional, intent(inout) ::R_TE,CS_TE |
---|
| 5106 | logical(lp) , optional, intent(inout) :: COSLIKE |
---|
| 5107 | TYPE(damap) a_f,a_l,a_nl,dr1,a_tt |
---|
| 5108 | type(onelieexponent) uno |
---|
| 5109 | logical(lp) doflip |
---|
| 5110 | integer i |
---|
| 5111 | |
---|
| 5112 | |
---|
| 5113 | if(perform_flip.and.new_ndpt.and.c_%ndpt/=0) then |
---|
| 5114 | ! write(6,*) " flipping ",c_%ndpt,c_%nd2-1 |
---|
| 5115 | ! pause 7123 |
---|
| 5116 | |
---|
| 5117 | perform_flip=.false. |
---|
| 5118 | call flip_damap(a_t,a_t) |
---|
| 5119 | doflip=.true. |
---|
| 5120 | else |
---|
| 5121 | doflip=.false. |
---|
| 5122 | endif |
---|
| 5123 | |
---|
| 5124 | call alloc(a_f,a_l,a_nl,dr1,a_tt) |
---|
| 5125 | call alloc(uno) |
---|
| 5126 | dr1=1 |
---|
| 5127 | a_tt=a_t |
---|
| 5128 | call factor(a_tt,a_f,a_l,a_nl,DR1,R_TE,CS_TE,COSLIKE) |
---|
| 5129 | |
---|
| 5130 | A_cs=a_f*a_l*a_nl |
---|
| 5131 | if(present(PHASE_ADVANCE)) then |
---|
| 5132 | uno=dr1 |
---|
| 5133 | |
---|
| 5134 | if(c_%ndpt==0) then |
---|
| 5135 | do i=1,c_%nd |
---|
| 5136 | PHASE_ADVANCE(i)=PHASE_ADVANCE(i)+((uno%VECTOR%v(2*i-1)).k.(2*i))/twopi |
---|
| 5137 | enddo |
---|
| 5138 | else |
---|
| 5139 | if(c_%ndpt>c_%nd2-2) then |
---|
| 5140 | do i=1,c_%nd-1 |
---|
| 5141 | PHASE_ADVANCE(i)=PHASE_ADVANCE(i)+((uno%VECTOR%v(2*i-1)).k.(2*i))/twopi |
---|
| 5142 | enddo |
---|
| 5143 | else |
---|
| 5144 | do i=1,c_%nd-2 |
---|
| 5145 | PHASE_ADVANCE(i)=PHASE_ADVANCE(i)+((uno%VECTOR%v(2*i-1)).k.(2*i))/twopi |
---|
| 5146 | enddo |
---|
| 5147 | i=c_%nd-1 |
---|
| 5148 | PHASE_ADVANCE(i+1)=PHASE_ADVANCE(i)+((uno%VECTOR%v(2*i-1)).k.(2*i))/twopi |
---|
| 5149 | endif |
---|
| 5150 | endif |
---|
| 5151 | |
---|
| 5152 | endif |
---|
| 5153 | |
---|
| 5154 | |
---|
| 5155 | if(doflip) then |
---|
| 5156 | call flip_damap(a_t,a_t) |
---|
| 5157 | call flip_damap(a_cs,a_cs) |
---|
| 5158 | call flip_damap(dr1,dr1) |
---|
| 5159 | if(present(PHASE_ADVANCE)) then |
---|
| 5160 | do i=1,c_%nd |
---|
| 5161 | call flip_taylor(PHASE_ADVANCE(i),PHASE_ADVANCE(i),-1) |
---|
| 5162 | enddo |
---|
| 5163 | endif |
---|
| 5164 | perform_flip=.true. |
---|
| 5165 | endif |
---|
| 5166 | call kill(uno) |
---|
| 5167 | call kill(a_f,a_l,a_nl,dr1,a_tt) |
---|
| 5168 | |
---|
| 5169 | end subroutine CANONIZE |
---|
| 5170 | |
---|
| 5171 | subroutine factor_am(a_t,a_f,a_l,a_nl,DR,R_TE,CS_TE,COSLIKE) |
---|
| 5172 | implicit none |
---|
| 5173 | TYPE(damap), INTENT(INout) :: a_t,a_nl,a_l,a_f |
---|
| 5174 | integer i,n,k,nt,j |
---|
| 5175 | integer, allocatable :: jc(:) |
---|
| 5176 | real(dp) value,alpha0,sip |
---|
| 5177 | logical doit |
---|
| 5178 | TYPE(damap) atemp,s1,s1i,m1 |
---|
| 5179 | TYPE(taylor)a12,a11,p(ndim) |
---|
| 5180 | logical(lp) doflip,dote,lagrange0 |
---|
| 5181 | TYPE(damap), optional, intent(inout) ::R_TE,CS_TE,DR |
---|
| 5182 | logical(lp) , optional, intent(inout) :: COSLIKE |
---|
| 5183 | type(taylor) m(ndim2,ndim2) |
---|
| 5184 | type(taylor) at(2,2),bt(2,2),ct(2,2),dt(2,2),ati(2,2),bti(2,2),alpha,det |
---|
| 5185 | type(gmap) g |
---|
| 5186 | type(onelieexponent) un |
---|
| 5187 | type(reversedragtfinn) rdf |
---|
| 5188 | type(vecresonance) vr |
---|
| 5189 | logical(lp) t_e |
---|
| 5190 | |
---|
| 5191 | t_e=my_true |
---|
| 5192 | lagrange0=my_false |
---|
| 5193 | if(present(dr)) lagrange0=my_true |
---|
| 5194 | |
---|
| 5195 | call alloc(atemp,s1,s1i,m1) |
---|
| 5196 | call alloc(a12,a11) |
---|
| 5197 | call alloc(p,ndim) |
---|
| 5198 | call alloc_nn(m) |
---|
| 5199 | call alloc_nn(at) |
---|
| 5200 | call alloc_nn(bt) |
---|
| 5201 | call alloc_nn(ct) |
---|
| 5202 | call alloc_nn(dt) |
---|
| 5203 | call alloc_nn(ati) |
---|
| 5204 | call alloc_nn(bti) |
---|
| 5205 | call alloc(alpha,det) |
---|
| 5206 | allocate(jc(c_%nv)) |
---|
| 5207 | |
---|
| 5208 | |
---|
| 5209 | |
---|
| 5210 | if(perform_flip.and.new_ndpt.and.c_%ndpt/=0) then |
---|
| 5211 | ! write(6,*) " flipping ",c_%ndpt,c_%nd2-1 |
---|
| 5212 | ! pause 7123 |
---|
| 5213 | |
---|
| 5214 | perform_flip=.false. |
---|
| 5215 | call flip_damap(a_t,a_t) |
---|
| 5216 | doflip=.true. |
---|
| 5217 | else |
---|
| 5218 | doflip=.false. |
---|
| 5219 | endif |
---|
| 5220 | |
---|
| 5221 | atemp=1 |
---|
| 5222 | do k=1,c_%nd2 |
---|
| 5223 | call taylor_cycle(a_t%v(k),N) |
---|
| 5224 | |
---|
| 5225 | do i=1,n |
---|
| 5226 | call taylor_cycle(a_t%v(k),ii=i,value=value,j=jc) |
---|
| 5227 | call check_fix(jc,0,doit) |
---|
| 5228 | if(doit) atemp%v(k)= atemp%v(k) + (value.mono.jc) |
---|
| 5229 | enddo |
---|
| 5230 | enddo |
---|
| 5231 | |
---|
| 5232 | ! in case we have ndpt/=0 |
---|
| 5233 | |
---|
| 5234 | if(c_%ndpt==c_%nd2-1) then ! ptc convention |
---|
| 5235 | atemp%v(c_%nd2-1)=atemp%v(c_%nd2-1)-(1.0_dp.mono.(c_%nd2-1)) |
---|
| 5236 | atemp%v(c_%nd2)=atemp%v(c_%nd2)-(1.0_dp.mono.(c_%nd2)) |
---|
| 5237 | do i=1,c_%nd-1 |
---|
| 5238 | atemp%v(c_%ndpt+1)=atemp%v(c_%ndpt+1) & |
---|
| 5239 | +(atemp%v(2*i).d.c_%ndpt)*(1.0_dp.mono.2*i-1)-(atemp%v(2*i-1).d.c_%ndpt)*(1.0_dp.mono.2*i) |
---|
| 5240 | enddo |
---|
| 5241 | elseif(c_%ndpt==c_%nd2) then ! Marylie convention |
---|
| 5242 | atemp%v(c_%nd2-1)=atemp%v(c_%nd2-1)-(1.0_dp.mono.(c_%nd2-1)) |
---|
| 5243 | atemp%v(c_%nd2)=atemp%v(c_%nd2)-(1.0_dp.mono.(c_%nd2)) |
---|
| 5244 | do i=1,c_%nd-1 |
---|
| 5245 | atemp%v(c_%ndpt-1)=atemp%v(c_%ndpt-1) & |
---|
| 5246 | -(atemp%v(2*i).d.c_%ndpt)*(1.0_dp.mono.2*i-1)+(atemp%v(2*i-1).d.c_%ndpt)*(1.0_dp.mono.2*i) |
---|
| 5247 | enddo |
---|
| 5248 | endif |
---|
| 5249 | |
---|
| 5250 | |
---|
| 5251 | a_f=atemp !!! not exact ! temporal part could be wrong!!! |
---|
| 5252 | |
---|
| 5253 | a_l=a_f**(-1)*a_t |
---|
| 5254 | |
---|
| 5255 | atemp=0 |
---|
| 5256 | do k=1,c_%nd2 |
---|
| 5257 | call taylor_cycle(a_l%v(k),N) |
---|
| 5258 | |
---|
| 5259 | do i=1,n |
---|
| 5260 | call taylor_cycle(a_l%v(k),ii=i,value=value,j=jc) |
---|
| 5261 | call check_fix(jc,1,doit) |
---|
| 5262 | if(doit) atemp%v(k)= atemp%v(k) + (value.mono.jc) |
---|
| 5263 | enddo |
---|
| 5264 | enddo |
---|
| 5265 | |
---|
| 5266 | |
---|
| 5267 | ! in case we have ndpt/=0 |
---|
| 5268 | |
---|
| 5269 | if(c_%ndpt/=0) then ! ptc convention |
---|
| 5270 | atemp%v(c_%nd2-1)=(1.0_dp.mono.(c_%nd2-1)) |
---|
| 5271 | atemp%v(c_%nd2)= (1.0_dp.mono.(c_%nd2)) |
---|
| 5272 | |
---|
| 5273 | if(c_%ndpt==c_%nd2) then |
---|
| 5274 | k=c_%nd2-1 |
---|
| 5275 | else |
---|
| 5276 | k=c_%nd2 |
---|
| 5277 | endif |
---|
| 5278 | |
---|
| 5279 | call taylor_cycle(a_l%v(k),N) |
---|
| 5280 | |
---|
| 5281 | do i=1,n |
---|
| 5282 | call taylor_cycle(a_l%v(k),ii=i,value=value,j=jc) |
---|
| 5283 | call check_fix(jc,2,doit) |
---|
| 5284 | if(doit) atemp%v(k)= atemp%v(k) + (value.mono.jc) |
---|
| 5285 | enddo |
---|
| 5286 | |
---|
| 5287 | endif |
---|
| 5288 | |
---|
| 5289 | a_nl=atemp**(-1)*a_l |
---|
| 5290 | a_l=atemp |
---|
| 5291 | |
---|
| 5292 | !!! a_t=a_f*a_l*a_nl at this stage |
---|
| 5293 | |
---|
| 5294 | ! if(present(lagrange)) then |
---|
| 5295 | if(lagrange0) then |
---|
| 5296 | ! enforce Teng-Edwards to all orders in parameters i.e. A_12=0 and A_3_4=0 etc.... |
---|
| 5297 | nt=c_%nd |
---|
| 5298 | if(C_%ndpt/=0) nt=nt-1 |
---|
| 5299 | |
---|
| 5300 | s1=1 |
---|
| 5301 | s1i=1 |
---|
| 5302 | |
---|
| 5303 | if(C_%ndpt/=0) then |
---|
| 5304 | s1%v(C_%ndpt)=1.0_dp.mono.C_%ndpt |
---|
| 5305 | s1i%v(C_%ndpt)=1.0_dp.mono.C_%ndpt |
---|
| 5306 | endif |
---|
| 5307 | |
---|
| 5308 | do i=1,nt |
---|
| 5309 | a11=a_l%v(2*i-1).d.(2*i-1) |
---|
| 5310 | a12=a_l%v(2*i-1).d.(2*i) |
---|
| 5311 | p(i)=-a12/a11 |
---|
| 5312 | p(i)=atan(p(i)) |
---|
| 5313 | sip=a11*cos(p(i))-a12*sin(p(i)) |
---|
| 5314 | if(sip<0) p(i)=p(i)+pi |
---|
| 5315 | if(C_%ndpt/=0) then |
---|
| 5316 | if(mod(C_%ndpt,2)==1) then |
---|
| 5317 | s1%v(C_%ndpt+1)=s1%v(C_%ndpt+1)-(p(i).d.C_%ndpt)*((1.0_dp.mono.(2*i))**2+(1.0_dp.mono.(2*i-1))**2)*0.5_dp |
---|
| 5318 | s1i%v(C_%ndpt+1)=s1i%v(C_%ndpt+1)+(p(i).d.C_%ndpt)*((1.0_dp.mono.(2*i))**2+(1.0_dp.mono.(2*i-1))**2)*0.5_dp |
---|
| 5319 | else |
---|
| 5320 | s1%v(C_%ndpt-1)=s1%v(C_%ndpt-1)+(p(i).d.C_%ndpt)*((1.0_dp.mono.(2*i))**2+(1.0_dp.mono.(2*i-1))**2)*0.5_dp |
---|
| 5321 | s1i%v(C_%ndpt-1)=s1i%v(C_%ndpt-1)-(p(i).d.C_%ndpt)*((1.0_dp.mono.(2*i))**2+(1.0_dp.mono.(2*i-1))**2)*0.5_dp |
---|
| 5322 | endif |
---|
| 5323 | endif |
---|
| 5324 | s1%v(2*i-1)=COS(p(i))*(1.0_dp.mono.(2*i-1))+SIN(p(i))*(1.0_dp.mono.(2*i)) |
---|
| 5325 | s1%v(2*i) =COS(p(i))*(1.0_dp.mono.(2*i))-SIN(p(i))*(1.0_dp.mono.(2*i-1)) |
---|
| 5326 | s1i%v(2*i-1)=COS(p(i))*(1.0_dp.mono.(2*i-1))-SIN(p(i))*(1.0_dp.mono.(2*i)) |
---|
| 5327 | s1i%v(2*i) =COS(p(i))*(1.0_dp.mono.(2*i))+SIN(p(i))*(1.0_dp.mono.(2*i-1)) |
---|
| 5328 | enddo |
---|
| 5329 | if(.not.courant_snyder) then |
---|
| 5330 | s1i=1 |
---|
| 5331 | s1=1 |
---|
| 5332 | endif |
---|
| 5333 | a_nl=s1i*a_nl*s1 |
---|
| 5334 | a_l=a_l*s1 |
---|
| 5335 | dr=s1i |
---|
| 5336 | ! a_t_cs= a_f*a_l_cs* a_nl ! a_nl is not yet " standard " |
---|
| 5337 | !!!!! nonlinear part if s1i !!!!!! |
---|
| 5338 | if(c_%no>1.and.courant_snyder) then |
---|
| 5339 | if(onelie) then |
---|
| 5340 | nd_used=c_%nd2/2 |
---|
| 5341 | if(c_%ndpt/=0) nd_used=nd_used-1 |
---|
| 5342 | call alloc(vr) |
---|
| 5343 | call alloc(un) |
---|
| 5344 | |
---|
| 5345 | s1i=a_nl ! preserve it |
---|
| 5346 | s1=1 |
---|
| 5347 | do i=1,c_%no ! i=1,c_%no |
---|
| 5348 | un%eps=-c_%no |
---|
| 5349 | un=s1i |
---|
| 5350 | vr=un%vector |
---|
| 5351 | decal=1 ! not coasting plane |
---|
| 5352 | do k=1,nd_used*2 |
---|
| 5353 | i_phase=k |
---|
| 5354 | if(mod(k,2)==0) then |
---|
| 5355 | i_plane=k/2 |
---|
| 5356 | else |
---|
| 5357 | i_plane=(k+1)/2 |
---|
| 5358 | endif |
---|
| 5359 | call cfu(vr%cos%v(k),dphase,vr%cos%v(k)) |
---|
| 5360 | call cfu(vr%sin%v(k),dphase,vr%sin%v(k)) |
---|
| 5361 | enddo |
---|
| 5362 | |
---|
| 5363 | do k=nd_used*2+1,c_%nd2 ! fix coasting later |
---|
| 5364 | vr%cos%v(k)=0.0_dp |
---|
| 5365 | vr%sin%v(k)=0.0_dp |
---|
| 5366 | enddo |
---|
| 5367 | |
---|
| 5368 | un%vector=vr |
---|
| 5369 | s1=texp(un%vector,s1) |
---|
| 5370 | s1i=texp(un%vector,s1i) |
---|
| 5371 | enddo ! i=1,c_%no |
---|
| 5372 | |
---|
| 5373 | !!!! now fix coasting !!!!! |
---|
| 5374 | if( nd_used == c_%nd) then |
---|
| 5375 | a_nl=s1i |
---|
| 5376 | else ! coasting |
---|
| 5377 | un%eps=-c_%no |
---|
| 5378 | un=s1 |
---|
| 5379 | alpha0=1.0_dp |
---|
| 5380 | if(mod(c_%ndpt,2)==0) alpha0=-1.0_dp |
---|
| 5381 | do i=1,c_%nd2-2 |
---|
| 5382 | un%vector%v(i)=alpha0*(un%vector%v(i).d.c_%ndpt) |
---|
| 5383 | enddo |
---|
| 5384 | call int_partial(un%vector,un%pb,2) |
---|
| 5385 | |
---|
| 5386 | if(mod(c_%ndpt,2)==0) then |
---|
| 5387 | s1%v(c_%ndpt-1)=s1%v(c_%ndpt-1)+un%pb%h |
---|
| 5388 | else |
---|
| 5389 | s1%v(c_%ndpt+1)=s1%v(c_%ndpt+1)+un%pb%h |
---|
| 5390 | endif |
---|
| 5391 | |
---|
| 5392 | a_nl=a_nl*s1 |
---|
| 5393 | endif ! end of nd_used == c_%nd |
---|
| 5394 | |
---|
| 5395 | !!!! end of now fix coasting !!!!! |
---|
| 5396 | |
---|
| 5397 | dr=dr*s1**(-1) |
---|
| 5398 | call kill(vr) |
---|
| 5399 | call kill(un) |
---|
| 5400 | else ! reverse Dragt-Finn |
---|
| 5401 | nd_used=c_%nd2/2 |
---|
| 5402 | if(c_%ndpt/=0) nd_used=nd_used-1 |
---|
| 5403 | call alloc(vr) |
---|
| 5404 | call alloc(rdf) |
---|
| 5405 | |
---|
| 5406 | s1i=a_nl ! preserve it |
---|
| 5407 | s1=1 |
---|
| 5408 | do i=1,c_%no ! i=1,c_%no |
---|
| 5409 | rdf=s1i |
---|
| 5410 | vr=rdf%nonlinear |
---|
| 5411 | decal=1 ! not coasting plane |
---|
| 5412 | do k=1,nd_used*2 |
---|
| 5413 | i_phase=k |
---|
| 5414 | if(mod(k,2)==0) then |
---|
| 5415 | i_plane=k/2 |
---|
| 5416 | else |
---|
| 5417 | i_plane=(k+1)/2 |
---|
| 5418 | endif |
---|
| 5419 | call cfu(vr%cos%v(k),dphase,vr%cos%v(k)) |
---|
| 5420 | call cfu(vr%sin%v(k),dphase,vr%sin%v(k)) |
---|
| 5421 | enddo |
---|
| 5422 | |
---|
| 5423 | do k=nd_used*2+1,c_%nd2 ! fix coasting later |
---|
| 5424 | vr%cos%v(k)=0.0_dp |
---|
| 5425 | vr%sin%v(k)=0.0_dp |
---|
| 5426 | enddo |
---|
| 5427 | |
---|
| 5428 | rdf%nonlinear=vr |
---|
| 5429 | s1=texp(rdf%nonlinear,s1) |
---|
| 5430 | s1i=texp(rdf%nonlinear,s1i) |
---|
| 5431 | enddo ! i=1,c_%no |
---|
| 5432 | |
---|
| 5433 | !!!! now fix coasting !!!!! |
---|
| 5434 | if( nd_used == c_%nd) then |
---|
| 5435 | a_nl=s1i |
---|
| 5436 | else ! coasting |
---|
| 5437 | rdf=s1 |
---|
| 5438 | alpha0=1.0_dp |
---|
| 5439 | if(mod(c_%ndpt,2)==0) alpha0=-1.0_dp |
---|
| 5440 | do i=1,c_%nd2-2 |
---|
| 5441 | rdf%nonlinear%v(i)=alpha0*(rdf%nonlinear%v(i).d.c_%ndpt) |
---|
| 5442 | enddo |
---|
| 5443 | call int_partial(rdf%nonlinear,rdf%pb,2) |
---|
| 5444 | |
---|
| 5445 | if(mod(c_%ndpt,2)==0) then |
---|
| 5446 | s1%v(c_%ndpt-1)=s1%v(c_%ndpt-1)+rdf%pb%h |
---|
| 5447 | else |
---|
| 5448 | s1%v(c_%ndpt+1)=s1%v(c_%ndpt+1)+rdf%pb%h |
---|
| 5449 | endif |
---|
| 5450 | |
---|
| 5451 | a_nl=a_nl*s1 |
---|
| 5452 | endif ! end of nd_used == c_%nd |
---|
| 5453 | |
---|
| 5454 | !!!! end of now fix coasting !!!!! |
---|
| 5455 | |
---|
| 5456 | dr=dr*s1**(-1) |
---|
| 5457 | call kill(vr) |
---|
| 5458 | call kill(rdf) |
---|
| 5459 | endif |
---|
| 5460 | endif ! no>1 |
---|
| 5461 | |
---|
| 5462 | |
---|
| 5463 | !!!! |
---|
| 5464 | endif ! it (te) |
---|
| 5465 | ! endif ! present(te) |
---|
| 5466 | |
---|
| 5467 | |
---|
| 5468 | dote=present(R_TE).and.present(CS_TE) |
---|
| 5469 | if(doing_ac_modulation_in_ptc) then |
---|
| 5470 | dote=dote.and.(c_%nd2==6.or.c_%ndpt>=5) |
---|
| 5471 | else |
---|
| 5472 | dote=dote.and.(c_%nd2==4.or.c_%ndpt>=5) |
---|
| 5473 | endif |
---|
| 5474 | if(dote) then |
---|
| 5475 | |
---|
| 5476 | call copy_damap_matrix(a_l,m) |
---|
| 5477 | call copy_matrix_matrix(m(1:2,1:2),at) |
---|
| 5478 | call copy_matrix_matrix(m(1:2,3:4),ct) |
---|
| 5479 | call copy_matrix_matrix(m(3:4,1:2),dt) |
---|
| 5480 | call copy_matrix_matrix(m(3:4,3:4),bt) |
---|
| 5481 | |
---|
| 5482 | call invert_22(at,ati) |
---|
| 5483 | call invert_22(bt,bti) |
---|
| 5484 | if(.not.c_%STABLE_DA) then |
---|
| 5485 | t_e=my_false |
---|
| 5486 | endif |
---|
| 5487 | |
---|
| 5488 | |
---|
| 5489 | call matmul_nn(dt,ati,ati,sc=-1.0_dp) |
---|
| 5490 | call matmul_nn(ati,ct,ct) |
---|
| 5491 | call matmul_nn(ct,bti,ct) |
---|
| 5492 | if(.not.c_%STABLE_DA) then |
---|
| 5493 | t_e=my_false |
---|
| 5494 | goto 888 |
---|
| 5495 | endif |
---|
| 5496 | |
---|
| 5497 | |
---|
| 5498 | alpha=ct(1,1) |
---|
| 5499 | alpha0=alpha |
---|
| 5500 | |
---|
| 5501 | if(alpha0<=-1.0_dp) then |
---|
| 5502 | t_e=my_false |
---|
| 5503 | goto 888 |
---|
| 5504 | endif |
---|
| 5505 | |
---|
| 5506 | det=sqrt(1.0_dp/(1.0_dp+alpha)) |
---|
| 5507 | |
---|
| 5508 | |
---|
| 5509 | |
---|
| 5510 | |
---|
| 5511 | if(alpha0>=0.0_dp) then |
---|
| 5512 | COSLIKE=my_true |
---|
| 5513 | else |
---|
| 5514 | ! det=sqrt(one/(one-alpha)) |
---|
| 5515 | COSLIKE=my_false |
---|
| 5516 | endif |
---|
| 5517 | |
---|
| 5518 | CS_TE=0 |
---|
| 5519 | do i=1,2 |
---|
| 5520 | do j=1,2 |
---|
| 5521 | CS_TE%v(i)=at(i,j)*(1.0_dp.mono.j)/det+CS_TE%v(i) |
---|
| 5522 | CS_TE%v(i+2)=bt(i,j)*(1.0_dp.mono.(j+2))/det+CS_TE%v(i+2) |
---|
| 5523 | enddo |
---|
| 5524 | enddo |
---|
| 5525 | |
---|
| 5526 | |
---|
| 5527 | |
---|
| 5528 | ! The rotation matrix is created but it may not have the correct path length |
---|
| 5529 | !dependence |
---|
| 5530 | if(c_%ndpt/=0.and.t_e) then |
---|
| 5531 | call alloc(g,c_%nv) |
---|
| 5532 | call alloc(un) |
---|
| 5533 | ! write(6,*) " epseone " |
---|
| 5534 | ! read(5,*) un%eps |
---|
| 5535 | un%eps=-c_%no |
---|
| 5536 | do i=1,c_%nv |
---|
| 5537 | g%v(i)=1.0_dp.mono.i |
---|
| 5538 | enddo |
---|
| 5539 | g%v(c_%ndpt)=0.0_dp |
---|
| 5540 | |
---|
| 5541 | do i=1,c_%nd2 |
---|
| 5542 | s1%v(i) = CS_TE%v(i)*g |
---|
| 5543 | enddo |
---|
| 5544 | ! s1%v(c_%ndpt)=one.mono.c_%ndpt |
---|
| 5545 | !!!!!new |
---|
| 5546 | s1%v(c_%nd2)=1.0_dp.mono.c_%nd2 |
---|
| 5547 | s1%v(c_%nd2-1)=1.0_dp.mono.c_%nd2-1 |
---|
| 5548 | |
---|
| 5549 | |
---|
| 5550 | CS_TE%v(c_%nd2)=1.0_dp.mono.c_%nd2 |
---|
| 5551 | CS_TE%v(c_%nd2-1)=1.0_dp.mono.c_%nd2-1 |
---|
| 5552 | !!!!! |
---|
| 5553 | s1i=s1**(-1) |
---|
| 5554 | s1i=s1i*CS_TE ! s1i is completely nonlinear. |
---|
| 5555 | un=s1i |
---|
| 5556 | |
---|
| 5557 | alpha0=1.0_dp |
---|
| 5558 | if(mod(c_%ndpt,2)==0) alpha0=-1.0_dp |
---|
| 5559 | do i=1,c_%nd2-2 |
---|
| 5560 | un%vector%v(i)=alpha0*(un%vector%v(i).d.c_%ndpt) |
---|
| 5561 | enddo |
---|
| 5562 | call int_partial(un%vector,un%pb,2) |
---|
| 5563 | ! un%pb=un%vector ! this is the longitudinal part |
---|
| 5564 | if(mod(c_%ndpt,2)==0) then |
---|
| 5565 | s1i%v(c_%ndpt-1)=s1i%v(c_%ndpt-1)+un%pb%h |
---|
| 5566 | else |
---|
| 5567 | s1i%v(c_%ndpt+1)=s1i%v(c_%ndpt+1)+un%pb%h |
---|
| 5568 | endif |
---|
| 5569 | |
---|
| 5570 | |
---|
| 5571 | CS_TE=s1*s1i |
---|
| 5572 | |
---|
| 5573 | |
---|
| 5574 | |
---|
| 5575 | call kill(un) |
---|
| 5576 | call kill(g) |
---|
| 5577 | !endif !eps_te |
---|
| 5578 | endif |
---|
| 5579 | |
---|
| 5580 | 888 continue |
---|
| 5581 | if(.not.t_e) then |
---|
| 5582 | c_%STABLE_DA=my_true |
---|
| 5583 | cs_te=0 |
---|
| 5584 | R_TE=0 |
---|
| 5585 | write(6,*) " Teng-Edwards is crap !" |
---|
| 5586 | else |
---|
| 5587 | R_TE=a_l*cs_TE**(-1) |
---|
| 5588 | endif |
---|
| 5589 | |
---|
| 5590 | endif ! end of T-E done |
---|
| 5591 | |
---|
| 5592 | if(lagrange0) then |
---|
| 5593 | a_t=a_f*a_l*a_nl |
---|
| 5594 | endif |
---|
| 5595 | |
---|
| 5596 | if(doing_ac_modulation_in_ptc.and.present(CS_TE)) then ! removing useless tiny numbers |
---|
| 5597 | CS_TE%v(c_%nd2-1)=1.0_dp.mono.(c_%nd2-1) |
---|
| 5598 | CS_TE%v(c_%nd2)=1.0_dp.mono.(c_%nd2) |
---|
| 5599 | endif |
---|
| 5600 | |
---|
| 5601 | if(doflip) then |
---|
| 5602 | call flip_damap(a_t,a_t) |
---|
| 5603 | call flip_damap(a_nl,a_nl) |
---|
| 5604 | call flip_damap(a_l,a_l) |
---|
| 5605 | call flip_damap(a_f,a_f) |
---|
| 5606 | if(present(dr)) call flip_damap(dr,dr) |
---|
| 5607 | if(present(CS_TE)) call flip_damap(CS_TE,CS_TE) |
---|
| 5608 | if(present(R_TE)) call flip_damap(R_TE,R_TE) |
---|
| 5609 | perform_flip=.true. |
---|
| 5610 | endif |
---|
| 5611 | |
---|
| 5612 | deallocate(jc) |
---|
| 5613 | call kill(atemp,s1,s1i,m1) |
---|
| 5614 | call kill(a12,a11) |
---|
| 5615 | call kill(p,ndim) |
---|
| 5616 | call kill_nn(m) |
---|
| 5617 | call kill_nn(at) |
---|
| 5618 | call kill_nn(bt) |
---|
| 5619 | call kill_nn(ct) |
---|
| 5620 | call kill_nn(dt) |
---|
| 5621 | call kill_nn(ati) |
---|
| 5622 | call kill_nn(bti) |
---|
| 5623 | call kill(alpha,det) |
---|
| 5624 | |
---|
| 5625 | |
---|
| 5626 | end subroutine factor_am |
---|
| 5627 | |
---|
| 5628 | subroutine factor_am_special(a_t,a_f,a_l,a_nl,DR) |
---|
| 5629 | implicit none |
---|
| 5630 | TYPE(damap), INTENT(INout) :: a_t,a_nl,a_l,a_f |
---|
| 5631 | integer i,n,k,nt,j |
---|
| 5632 | integer, allocatable :: jc(:) |
---|
| 5633 | real(dp) value,alpha0 |
---|
| 5634 | logical doit |
---|
| 5635 | TYPE(damap) atemp,s1,s1i,m1 |
---|
| 5636 | TYPE(taylor)a12,a11,p(ndim) |
---|
| 5637 | logical(lp) doflip,dote,lagrange0 |
---|
| 5638 | TYPE(damap), optional, intent(inout) ::DR |
---|
| 5639 | ! type(taylor) m(ndim2,ndim2) |
---|
| 5640 | ! type(taylor) at(2,2),bt(2,2),ct(2,2),dt(2,2),ati(2,2),bti(2,2),alpha,det |
---|
| 5641 | ! type(gmap) g |
---|
| 5642 | ! type(onelieexponent) un |
---|
| 5643 | ! type(reversedragtfinn) rdf |
---|
| 5644 | ! type(vecresonance) vr |
---|
| 5645 | |
---|
| 5646 | |
---|
| 5647 | lagrange0=my_false |
---|
| 5648 | if(present(dr)) lagrange0=my_true |
---|
| 5649 | |
---|
| 5650 | call alloc(atemp,s1,s1i,m1) |
---|
| 5651 | call alloc(a12,a11) |
---|
| 5652 | call alloc(p,ndim) |
---|
| 5653 | ! call alloc_nn(m) |
---|
| 5654 | ! call alloc_nn(at) |
---|
| 5655 | ! call alloc_nn(bt) |
---|
| 5656 | ! call alloc_nn(ct) |
---|
| 5657 | ! call alloc_nn(dt) |
---|
| 5658 | ! call alloc_nn(ati) |
---|
| 5659 | ! call alloc_nn(bti) |
---|
| 5660 | ! call alloc(alpha,det) |
---|
| 5661 | allocate(jc(c_%nv)) |
---|
| 5662 | |
---|
| 5663 | |
---|
| 5664 | |
---|
| 5665 | if(perform_flip.and.new_ndpt.and.c_%ndpt/=0) then |
---|
| 5666 | ! write(6,*) " flipping ",c_%ndpt,c_%nd2-1 |
---|
| 5667 | ! pause 7123 |
---|
| 5668 | |
---|
| 5669 | perform_flip=.false. |
---|
| 5670 | call flip_damap(a_t,a_t) |
---|
| 5671 | doflip=.true. |
---|
| 5672 | else |
---|
| 5673 | doflip=.false. |
---|
| 5674 | endif |
---|
| 5675 | |
---|
| 5676 | atemp=1 |
---|
| 5677 | do k=1,c_%nd2 |
---|
| 5678 | call taylor_cycle(a_t%v(k),N) |
---|
| 5679 | |
---|
| 5680 | do i=1,n |
---|
| 5681 | call taylor_cycle(a_t%v(k),ii=i,value=value,j=jc) |
---|
| 5682 | call check_fix(jc,0,doit) |
---|
| 5683 | if(doit) atemp%v(k)= atemp%v(k) + (value.mono.jc) |
---|
| 5684 | enddo |
---|
| 5685 | enddo |
---|
| 5686 | |
---|
| 5687 | ! in case we have ndpt/=0 |
---|
| 5688 | |
---|
| 5689 | if(c_%ndpt==c_%nd2-1) then ! ptc convention |
---|
| 5690 | atemp%v(c_%nd2-1)=atemp%v(c_%nd2-1)-(1.0_dp.mono.(c_%nd2-1)) |
---|
| 5691 | atemp%v(c_%nd2)=atemp%v(c_%nd2)-(1.0_dp.mono.(c_%nd2)) |
---|
| 5692 | do i=1,c_%nd-1 |
---|
| 5693 | atemp%v(c_%ndpt+1)=atemp%v(c_%ndpt+1) & |
---|
| 5694 | +(atemp%v(2*i).d.c_%ndpt)*(1.0_dp.mono.2*i-1)-(atemp%v(2*i-1).d.c_%ndpt)*(1.0_dp.mono.2*i) |
---|
| 5695 | enddo |
---|
| 5696 | elseif(c_%ndpt==c_%nd2) then ! Marylie convention |
---|
| 5697 | atemp%v(c_%nd2-1)=atemp%v(c_%nd2-1)-(1.0_dp.mono.(c_%nd2-1)) |
---|
| 5698 | atemp%v(c_%nd2)=atemp%v(c_%nd2)-(1.0_dp.mono.(c_%nd2)) |
---|
| 5699 | do i=1,c_%nd-1 |
---|
| 5700 | atemp%v(c_%ndpt-1)=atemp%v(c_%ndpt-1) & |
---|
| 5701 | -(atemp%v(2*i).d.c_%ndpt)*(1.0_dp.mono.2*i-1)+(atemp%v(2*i-1).d.c_%ndpt)*(1.0_dp.mono.2*i) |
---|
| 5702 | enddo |
---|
| 5703 | endif |
---|
| 5704 | |
---|
| 5705 | |
---|
| 5706 | a_f=atemp !!! not exact ! temporal part could be wrong!!! |
---|
| 5707 | |
---|
| 5708 | a_l=a_f**(-1)*a_t |
---|
| 5709 | |
---|
| 5710 | atemp=0 |
---|
| 5711 | do k=1,c_%nd2 |
---|
| 5712 | call taylor_cycle(a_l%v(k),N) |
---|
| 5713 | |
---|
| 5714 | do i=1,n |
---|
| 5715 | call taylor_cycle(a_l%v(k),ii=i,value=value,j=jc) |
---|
| 5716 | call check_fix(jc,1,doit) |
---|
| 5717 | if(doit) atemp%v(k)= atemp%v(k) + (value.mono.jc) |
---|
| 5718 | enddo |
---|
| 5719 | enddo |
---|
| 5720 | |
---|
| 5721 | |
---|
| 5722 | ! in case we have ndpt/=0 |
---|
| 5723 | |
---|
| 5724 | if(c_%ndpt/=0) then ! ptc convention |
---|
| 5725 | atemp%v(c_%nd2-1)=(1.0_dp.mono.(c_%nd2-1)) |
---|
| 5726 | atemp%v(c_%nd2)= (1.0_dp.mono.(c_%nd2)) |
---|
| 5727 | |
---|
| 5728 | if(c_%ndpt==c_%nd2) then |
---|
| 5729 | k=c_%nd2-1 |
---|
| 5730 | else |
---|
| 5731 | k=c_%nd2 |
---|
| 5732 | endif |
---|
| 5733 | |
---|
| 5734 | call taylor_cycle(a_l%v(k),N) |
---|
| 5735 | |
---|
| 5736 | do i=1,n |
---|
| 5737 | call taylor_cycle(a_l%v(k),ii=i,value=value,j=jc) |
---|
| 5738 | call check_fix(jc,2,doit) |
---|
| 5739 | if(doit) atemp%v(k)= atemp%v(k) + (value.mono.jc) |
---|
| 5740 | enddo |
---|
| 5741 | |
---|
| 5742 | endif |
---|
| 5743 | |
---|
| 5744 | a_nl=atemp**(-1)*a_l |
---|
| 5745 | a_l=atemp |
---|
| 5746 | |
---|
| 5747 | !!! a_t=a_f*a_l*a_nl at this stage |
---|
| 5748 | |
---|
| 5749 | ! if(present(lagrange)) then |
---|
| 5750 | if(lagrange0) then |
---|
| 5751 | ! enforce Teng-Edwards to all orders in parameters i.e. A_12=0 and A_3_4=0 etc.... |
---|
| 5752 | nt=c_%nd |
---|
| 5753 | if(C_%ndpt/=0) nt=nt-1 |
---|
| 5754 | |
---|
| 5755 | s1=1 |
---|
| 5756 | s1i=1 |
---|
| 5757 | |
---|
| 5758 | if(C_%ndpt/=0) then |
---|
| 5759 | s1%v(C_%ndpt)=1.0_dp.mono.C_%ndpt |
---|
| 5760 | s1i%v(C_%ndpt)=1.0_dp.mono.C_%ndpt |
---|
| 5761 | endif |
---|
| 5762 | |
---|
| 5763 | do i=1,nt |
---|
| 5764 | a11=a_l%v(2*i-1).d.(2*i-1) |
---|
| 5765 | a12=a_l%v(2*i-1).d.(2*i) |
---|
| 5766 | p(i)=-a12/a11 |
---|
| 5767 | p(i)=atan(p(i)) |
---|
| 5768 | if(C_%ndpt/=0) then |
---|
| 5769 | if(mod(C_%ndpt,2)==1) then |
---|
| 5770 | s1%v(C_%ndpt+1)=s1%v(C_%ndpt+1)-(p(i).d.C_%ndpt)*((1.0_dp.mono.(2*i))**2+(1.0_dp.mono.(2*i-1))**2)*0.5_dp |
---|
| 5771 | s1i%v(C_%ndpt+1)=s1i%v(C_%ndpt+1)+(p(i).d.C_%ndpt)*((1.0_dp.mono.(2*i))**2+(1.0_dp.mono.(2*i-1))**2)*0.5_dp |
---|
| 5772 | else |
---|
| 5773 | s1%v(C_%ndpt-1)=s1%v(C_%ndpt-1)+(p(i).d.C_%ndpt)*((1.0_dp.mono.(2*i))**2+(1.0_dp.mono.(2*i-1))**2)*0.5_dp |
---|
| 5774 | s1i%v(C_%ndpt-1)=s1i%v(C_%ndpt-1)-(p(i).d.C_%ndpt)*((1.0_dp.mono.(2*i))**2+(1.0_dp.mono.(2*i-1))**2)*0.5_dp |
---|
| 5775 | endif |
---|
| 5776 | endif |
---|
| 5777 | s1%v(2*i-1)=COS(p(i))*(1.0_dp.mono.(2*i-1))+SIN(p(i))*(1.0_dp.mono.(2*i)) |
---|
| 5778 | s1%v(2*i) =COS(p(i))*(1.0_dp.mono.(2*i))-SIN(p(i))*(1.0_dp.mono.(2*i-1)) |
---|
| 5779 | s1i%v(2*i-1)=COS(p(i))*(1.0_dp.mono.(2*i-1))-SIN(p(i))*(1.0_dp.mono.(2*i)) |
---|
| 5780 | s1i%v(2*i) =COS(p(i))*(1.0_dp.mono.(2*i))+SIN(p(i))*(1.0_dp.mono.(2*i-1)) |
---|
| 5781 | enddo |
---|
| 5782 | if(.not.courant_snyder) then |
---|
| 5783 | s1i=1 |
---|
| 5784 | s1=1 |
---|
| 5785 | endif |
---|
| 5786 | a_nl=s1i*a_nl*s1 |
---|
| 5787 | a_l=a_l*s1 |
---|
| 5788 | dr=s1i |
---|
| 5789 | ! a_t_cs= a_f*a_l_cs* a_nl ! a_nl is not yet " standard " |
---|
| 5790 | !!!!! nonlinear part if s1i !!!!!! |
---|
| 5791 | |
---|
| 5792 | |
---|
| 5793 | |
---|
| 5794 | !!!! |
---|
| 5795 | endif ! it (te) |
---|
| 5796 | |
---|
| 5797 | |
---|
| 5798 | |
---|
| 5799 | |
---|
| 5800 | if(lagrange0) then |
---|
| 5801 | a_t=a_f*a_l*a_nl |
---|
| 5802 | endif |
---|
| 5803 | |
---|
| 5804 | |
---|
| 5805 | if(doflip) then |
---|
| 5806 | call flip_damap(a_t,a_t) |
---|
| 5807 | call flip_damap(a_nl,a_nl) |
---|
| 5808 | call flip_damap(a_l,a_l) |
---|
| 5809 | call flip_damap(a_f,a_f) |
---|
| 5810 | if(present(dr)) call flip_damap(dr,dr) |
---|
| 5811 | |
---|
| 5812 | perform_flip=.true. |
---|
| 5813 | endif |
---|
| 5814 | |
---|
| 5815 | deallocate(jc) |
---|
| 5816 | call kill(atemp,s1,s1i,m1) |
---|
| 5817 | call kill(a12,a11) |
---|
| 5818 | call kill(p,ndim) |
---|
| 5819 | ! call kill_nn(m) |
---|
| 5820 | ! call kill_nn(at) |
---|
| 5821 | ! call kill_nn(bt) |
---|
| 5822 | ! call kill_nn(ct) |
---|
| 5823 | ! call kill_nn(dt) |
---|
| 5824 | ! call kill_nn(ati) |
---|
| 5825 | ! call kill_nn(bti) |
---|
| 5826 | ! call kill(alpha,det) |
---|
| 5827 | |
---|
| 5828 | |
---|
| 5829 | end subroutine factor_am_special |
---|
| 5830 | |
---|
| 5831 | subroutine int_partial(v,h,nd0) |
---|
| 5832 | implicit none |
---|
| 5833 | ! IF SCA=-one |
---|
| 5834 | ! \VEC{V}.GRAD = J GRAD H . GRAD = :H: |
---|
| 5835 | ! |
---|
| 5836 | ! IF SCA=one |
---|
| 5837 | ! \VEC{V}.GRAD = GRAD H . GRAD |
---|
| 5838 | integer i,nd0 |
---|
| 5839 | type(vecfield) v |
---|
| 5840 | type(pbfield) h |
---|
| 5841 | type(taylor) b4,b3,b2,b1 |
---|
| 5842 | type(damap) x |
---|
| 5843 | logical doflip |
---|
| 5844 | if(.not.c_%stable_da) return |
---|
| 5845 | |
---|
| 5846 | if(perform_flip.and.new_ndpt.and.c_%ndpt/=0) then |
---|
| 5847 | ! write(6,*) " flipping ",c_%ndpt,c_%nd2-1 |
---|
| 5848 | ! pause 7123 |
---|
| 5849 | |
---|
| 5850 | perform_flip=.false. |
---|
| 5851 | call flip_vecfield(v,v,1) |
---|
| 5852 | call flip_taylor(h%h,h%h,1) |
---|
| 5853 | doflip=.true. |
---|
| 5854 | else |
---|
| 5855 | doflip=.false. |
---|
| 5856 | endif |
---|
| 5857 | |
---|
| 5858 | nd_used=nd0 |
---|
| 5859 | call alloc(x) |
---|
| 5860 | call alloc(b4,b3,b2,b1) |
---|
| 5861 | |
---|
| 5862 | x=1 |
---|
| 5863 | |
---|
| 5864 | do i=1,nd_used |
---|
| 5865 | call cfu(v%v(2*i-1),dlie,b3) |
---|
| 5866 | call cfu(v%v(2*i),dlie,b1) |
---|
| 5867 | b2=b1*x%v(2*i-1) |
---|
| 5868 | b1=b3*x%v(2*i) |
---|
| 5869 | b3=b2-b1 |
---|
| 5870 | b2=b3+b4 |
---|
| 5871 | b4=b2 |
---|
| 5872 | enddo |
---|
| 5873 | h%h=b4 |
---|
| 5874 | |
---|
| 5875 | |
---|
| 5876 | call kill(b4,b3,b2,b1) |
---|
| 5877 | call kill(x) |
---|
| 5878 | |
---|
| 5879 | if(doflip) then |
---|
| 5880 | call flip_vecfield(v,v,-1) |
---|
| 5881 | call flip_taylor(h%h,h%h,-1) |
---|
| 5882 | perform_flip=.true. |
---|
| 5883 | endif |
---|
| 5884 | end subroutine int_partial |
---|
| 5885 | |
---|
| 5886 | real(dp) function dlie(j) |
---|
| 5887 | implicit none |
---|
| 5888 | integer i |
---|
| 5889 | ! INTEGER J(NTT) |
---|
| 5890 | integer,dimension(:)::j |
---|
| 5891 | if(.not.c_%stable_da) return |
---|
| 5892 | |
---|
| 5893 | dlie=0.0_dp |
---|
| 5894 | do i=1,nd_used |
---|
| 5895 | dlie=REAL(j(2*i-1)+j(2*i),kind=DP)+dlie |
---|
| 5896 | enddo |
---|
| 5897 | dlie=dlie+1.0_dp |
---|
| 5898 | dlie=1.0_dp/dlie |
---|
| 5899 | return |
---|
| 5900 | end function dlie |
---|
| 5901 | |
---|
| 5902 | |
---|
| 5903 | real(dp) function dphase(j) |
---|
| 5904 | implicit none |
---|
| 5905 | integer i |
---|
| 5906 | ! INTEGER J(NTT) |
---|
| 5907 | integer,dimension(:)::j |
---|
| 5908 | integer t,tu |
---|
| 5909 | if(.not.c_%stable_da) return |
---|
| 5910 | |
---|
| 5911 | t=-decal |
---|
| 5912 | tu=0 |
---|
| 5913 | dphase=0.0_dp |
---|
| 5914 | do i=1,nd_used |
---|
| 5915 | t=abs(j(2*i-1)-j(2*i))+t |
---|
| 5916 | enddo |
---|
| 5917 | if(t==0.and.decal/=0) then |
---|
| 5918 | tu=(j(2*i_plane-1)-j(2*i_plane)) |
---|
| 5919 | if(mod(i_phase,2)==1) then |
---|
| 5920 | tu=tu-1 |
---|
| 5921 | else |
---|
| 5922 | tu=tu+1 |
---|
| 5923 | endif |
---|
| 5924 | if(tu==0) dphase=-1.0_dp |
---|
| 5925 | else |
---|
| 5926 | if(t==0) dphase=-1.0_dp |
---|
| 5927 | endif |
---|
| 5928 | |
---|
| 5929 | return |
---|
| 5930 | end function dphase |
---|
| 5931 | |
---|
| 5932 | real(dp) function phase_shift(j) |
---|
| 5933 | implicit none |
---|
| 5934 | integer i |
---|
| 5935 | ! INTEGER J(NTT) |
---|
| 5936 | integer,dimension(:)::j |
---|
| 5937 | integer nd,t |
---|
| 5938 | if(.not.c_%stable_da) return |
---|
| 5939 | nd=c_%nd2/2 |
---|
| 5940 | if(c_%ndpt/=0) nd=nd-1 |
---|
| 5941 | |
---|
| 5942 | |
---|
| 5943 | phase_shift=0.0_dp |
---|
| 5944 | t=0 |
---|
| 5945 | do i=1,nd |
---|
| 5946 | t=abs(j(2*i-1)-j(2*i))+t |
---|
| 5947 | enddo |
---|
| 5948 | if(t==0) phase_shift=1.0_dp |
---|
| 5949 | |
---|
| 5950 | return |
---|
| 5951 | end function phase_shift |
---|
| 5952 | |
---|
| 5953 | |
---|
| 5954 | subroutine invert_22(a,ai) |
---|
| 5955 | implicit none |
---|
| 5956 | type(taylor) a(2,2),ai(2,2),t(2,2) |
---|
| 5957 | type(taylor) det |
---|
| 5958 | call alloc_nn(t) |
---|
| 5959 | call alloc(det) |
---|
| 5960 | |
---|
| 5961 | det=a(1,1)*a(2,2)-a(1,2)*a(2,1) |
---|
| 5962 | t(1,1)=a(2,2)/det |
---|
| 5963 | t(2,2)=a(1,1)/det |
---|
| 5964 | t(1,2)=-a(1,2)/det |
---|
| 5965 | t(2,1)=-a(2,1)/det |
---|
| 5966 | |
---|
| 5967 | ai(1,1)=t(1,1) |
---|
| 5968 | ai(1,1)=t(1,1) |
---|
| 5969 | ai(1,1)=t(1,1) |
---|
| 5970 | ai(1,1)=t(1,1) |
---|
| 5971 | |
---|
| 5972 | call copy_matrix_matrix(t,ai) |
---|
| 5973 | |
---|
| 5974 | call kill_nn(t) |
---|
| 5975 | call kill(det) |
---|
| 5976 | |
---|
| 5977 | end subroutine invert_22 |
---|
| 5978 | |
---|
| 5979 | |
---|
| 5980 | subroutine check_fix(jc,ord,doit) |
---|
| 5981 | implicit none |
---|
| 5982 | logical doit |
---|
| 5983 | integer i,nd2,l,ord |
---|
| 5984 | integer jc(:) |
---|
| 5985 | |
---|
| 5986 | nd2=c_%nd2 |
---|
| 5987 | if(c_%ndpt/=0) nd2=c_%nd2-2 |
---|
| 5988 | |
---|
| 5989 | doit=.false. |
---|
| 5990 | |
---|
| 5991 | |
---|
| 5992 | l=0 |
---|
| 5993 | do i=1,nd2 |
---|
| 5994 | l=jc(i)+l |
---|
| 5995 | enddo |
---|
| 5996 | if(l==ord) doit=.true. |
---|
| 5997 | |
---|
| 5998 | end subroutine check_fix |
---|
| 5999 | |
---|
| 6000 | |
---|
| 6001 | subroutine INTO_RES_SPIN8_eq(H_RES,H) |
---|
| 6002 | implicit none |
---|
| 6003 | TYPE(spinor_8), INTENT(in) :: h |
---|
| 6004 | TYPE(res_spinor_8), INTENT(inout) :: H_RES |
---|
| 6005 | call INTO_RES_SPIN8(H,H_RES) |
---|
| 6006 | end subroutine INTO_RES_SPIN8_eq |
---|
| 6007 | |
---|
| 6008 | subroutine INTO_RES_SPIN8(H,H_RES) |
---|
| 6009 | implicit none |
---|
| 6010 | TYPE(spinor_8), INTENT(in) :: h |
---|
| 6011 | TYPE(res_spinor_8), INTENT(inout) :: H_RES |
---|
| 6012 | type(taylorresonance) tr,ti |
---|
| 6013 | |
---|
| 6014 | call alloc( tr) |
---|
| 6015 | call alloc( ti) |
---|
| 6016 | |
---|
| 6017 | |
---|
| 6018 | H_RES%X(1)= H%X(1)-i_*H%X(3) |
---|
| 6019 | H_RES%X(2)= H%X(1)+i_*H%X(3) |
---|
| 6020 | H_RES%X(3)= H%X(2) |
---|
| 6021 | |
---|
| 6022 | tr=H_RES%X(3)%t%r |
---|
| 6023 | |
---|
| 6024 | H_RES%X(3)= tr%cos + i_*tr%sin |
---|
| 6025 | |
---|
| 6026 | tr=H_RES%X(1)%t%r |
---|
| 6027 | ti=H_RES%X(1)%t%i |
---|
| 6028 | |
---|
| 6029 | H_RES%X(1)=tr%cos + i_*tr%sin + i_* (ti%cos + i_*ti%sin) |
---|
| 6030 | |
---|
| 6031 | tr=H_RES%X(2)%t%r |
---|
| 6032 | ti=H_RES%X(2)%t%i |
---|
| 6033 | |
---|
| 6034 | H_RES%X(2)=tr%cos + i_*tr%sin + i_* (ti%cos + i_*ti%sin) |
---|
| 6035 | |
---|
| 6036 | |
---|
| 6037 | call kill( tr) |
---|
| 6038 | call kill( ti) |
---|
| 6039 | |
---|
| 6040 | |
---|
| 6041 | END SUBROUTINE INTO_RES_SPIN8 |
---|
| 6042 | |
---|
| 6043 | subroutine INTO_SPIN8_from_RES_eq(H,H_RES) |
---|
| 6044 | implicit none |
---|
| 6045 | TYPE(spinor_8), INTENT(inout) :: h |
---|
| 6046 | TYPE(res_spinor_8), INTENT(in) :: H_RES |
---|
| 6047 | type(taylorresonance) tr |
---|
| 6048 | type(taylor) t |
---|
| 6049 | type(complextaylor) c |
---|
| 6050 | |
---|
| 6051 | call alloc( tr) |
---|
| 6052 | call alloc( t) |
---|
| 6053 | call alloc( c) |
---|
| 6054 | |
---|
| 6055 | tr%cos=H_RES%X(3)%t%r |
---|
| 6056 | tr%sin=H_RES%X(3)%t%i |
---|
| 6057 | t=tr |
---|
| 6058 | H%X(2)=morph(t) |
---|
| 6059 | c=(H_RES%X(1)+H_RES%X(2))/2.0_dp |
---|
| 6060 | |
---|
| 6061 | tr%cos=c%r |
---|
| 6062 | tr%sin=c%i |
---|
| 6063 | t=tr |
---|
| 6064 | H%X(1)=morph(t) |
---|
| 6065 | |
---|
| 6066 | c=i_*(H_RES%X(1)-H_RES%X(2))/2.0_dp |
---|
| 6067 | |
---|
| 6068 | tr%cos=c%r |
---|
| 6069 | tr%sin=c%i |
---|
| 6070 | t=tr |
---|
| 6071 | H%X(3)=morph(t) |
---|
| 6072 | |
---|
| 6073 | call kill( c) |
---|
| 6074 | call kill( t) |
---|
| 6075 | call kill( tr) |
---|
| 6076 | |
---|
| 6077 | |
---|
| 6078 | END SUBROUTINE INTO_SPIN8_from_RES_eq |
---|
| 6079 | |
---|
| 6080 | !!!!!!!!!! normal form on theta into theta(H) !!!!!!!!!!!!!!!! |
---|
| 6081 | |
---|
| 6082 | subroutine normal_thetaH(ds,ns) |
---|
| 6083 | implicit none |
---|
| 6084 | TYPE(damapspin), INTENT(INout) :: ds |
---|
| 6085 | TYPE(normal_spin), INTENT(INout) :: ns |
---|
| 6086 | TYPE(onelieexponent) uno |
---|
| 6087 | TYPE(pbfield) h |
---|
| 6088 | TYPE(damapspin) nc |
---|
| 6089 | TYPE(normalform) nf |
---|
| 6090 | TYPE(taylorresonance) tr,theta0r |
---|
| 6091 | TYPE(taylor) theta0 |
---|
| 6092 | TYPE(complextaylor) gam |
---|
| 6093 | real(dp) muc,epsy,ath,vvb |
---|
| 6094 | complex(dp) dely,bth,beta,alpha |
---|
| 6095 | |
---|
| 6096 | |
---|
| 6097 | muc=0.25e0_dp*twopi |
---|
| 6098 | call alloc(h) |
---|
| 6099 | call alloc(uno) |
---|
| 6100 | call alloc(nc) |
---|
| 6101 | call alloc(tr) |
---|
| 6102 | call alloc(theta0r) |
---|
| 6103 | call alloc(theta0) |
---|
| 6104 | call alloc(gam) |
---|
| 6105 | call alloc(nf) |
---|
| 6106 | |
---|
| 6107 | nc=ns%a_t**(-1)*ds*ns%a_t |
---|
| 6108 | |
---|
| 6109 | h%h=muc*((1.0_dp.mono.'002')+(1.0_dp.mono.'0002'))/2.0_dp |
---|
| 6110 | h%h=h%h+muc*((1.0_dp.mono.'2')+(1.0_dp.mono.'02'))/2.0_dp |
---|
| 6111 | |
---|
| 6112 | nc%m=texp(h,nc%m) |
---|
| 6113 | |
---|
| 6114 | |
---|
| 6115 | ! call print(nc%m,6) |
---|
| 6116 | ! nf=nc%m |
---|
| 6117 | |
---|
| 6118 | uno=nc%m |
---|
| 6119 | uno%pb%h=uno%pb%h-muc*((1.0_dp.mono.'2')+(1.0_dp.mono.'02'))/2.0_dp |
---|
| 6120 | tr=uno%pb%h |
---|
| 6121 | |
---|
| 6122 | call print(ns%theta0,6) |
---|
| 6123 | |
---|
| 6124 | ! a11=(s(1,1)) |
---|
| 6125 | ! a13=(s(1,3)) |
---|
| 6126 | |
---|
| 6127 | theta0=atan2(nc%s%s(1,3),nc%s%s(1,1)) |
---|
| 6128 | if((theta0.sub.'0')<0.0_dp) theta0 = theta0 + twopi |
---|
| 6129 | |
---|
| 6130 | theta0r=theta0 |
---|
| 6131 | |
---|
| 6132 | !! call taylor_clean(theta0r%cos,1.d-1) |
---|
| 6133 | ! call taylor_clean(theta0r%sin,1.d-1) |
---|
| 6134 | ! call taylor_clean(tr%cos,1.d-5) |
---|
| 6135 | ! call taylor_clean(tr%sin,1.d-5) |
---|
| 6136 | |
---|
| 6137 | call print(theta0r%cos,6) |
---|
| 6138 | call print(tr%cos,6) |
---|
| 6139 | |
---|
| 6140 | call print(theta0r%sin,6) |
---|
| 6141 | call print(tr%sin,6) |
---|
| 6142 | |
---|
| 6143 | epsy=tr%cos.sub.'0011' |
---|
| 6144 | dely=(tr%cos.sub.'0040')+i_*(tr%sin.sub.'0040') |
---|
| 6145 | ath=theta0r%cos.sub.'0011' |
---|
| 6146 | bth=(theta0r%cos.sub.'0040')+i_*(theta0r%sin.sub.'0040') |
---|
| 6147 | write(6,*) epsy |
---|
| 6148 | write(6,*) dely |
---|
| 6149 | write(6,*) ath |
---|
| 6150 | write(6,*) bth |
---|
| 6151 | vvb=(0.2d-3)**2 |
---|
| 6152 | |
---|
| 6153 | alpha=(ath*dely/epsy-bth)*i_/8.d0/dely |
---|
| 6154 | write(6,*) alpha |
---|
| 6155 | alpha=abs(alpha) |
---|
| 6156 | write(6,*) alpha |
---|
| 6157 | alpha=0 |
---|
| 6158 | beta=((ath*dely/epsy-bth)*i_/8.d0-dely*alpha)/epsy |
---|
| 6159 | beta=abs(beta) |
---|
| 6160 | write(6,*) beta |
---|
| 6161 | alpha=0.1d0 |
---|
| 6162 | beta=((ath*dely/epsy-bth)*i_/8.d0-dely*alpha)/epsy |
---|
| 6163 | beta=abs(beta) |
---|
| 6164 | write(6,*) beta |
---|
| 6165 | ! alpha=beta*(dely/epsy)*vvb |
---|
| 6166 | |
---|
| 6167 | |
---|
| 6168 | call kill(uno) |
---|
| 6169 | call kill(h) |
---|
| 6170 | call kill(nc) |
---|
| 6171 | call kill(tr) |
---|
| 6172 | call kill(theta0r) |
---|
| 6173 | call kill(theta0) |
---|
| 6174 | call kill(nf) |
---|
| 6175 | call kill(gam) |
---|
| 6176 | |
---|
| 6177 | end subroutine normal_thetaH |
---|
| 6178 | |
---|
| 6179 | |
---|
| 6180 | !!! Some useful routines |
---|
| 6181 | |
---|
| 6182 | subroutine AVERAGE(F,A,F_floquet,F_xp,use_J) |
---|
| 6183 | implicit none |
---|
| 6184 | type(damap) A |
---|
| 6185 | TYPE(TAYLOR), intent(inout):: F |
---|
| 6186 | TYPE(TAYLOR), intent(inout):: F_floquet |
---|
| 6187 | TYPE(TAYLOR), optional, intent(inout):: F_xp |
---|
| 6188 | type(taylor) tt,tt_xp |
---|
| 6189 | TYPE(taylorresonance) fq |
---|
| 6190 | real(dp) value,valuexp |
---|
| 6191 | integer, allocatable :: jc(:) |
---|
| 6192 | logical, optional :: use_J |
---|
| 6193 | logical usej |
---|
| 6194 | integer i,n,j,it,nd,iu |
---|
| 6195 | logical doflip,uj |
---|
| 6196 | |
---|
| 6197 | if(perform_flip.and.new_ndpt.and.c_%ndpt/=0) then |
---|
| 6198 | perform_flip=.false. |
---|
| 6199 | call fliptaylor(F,F,1) |
---|
| 6200 | call flip_damap(A,A) |
---|
| 6201 | doflip=.true. |
---|
| 6202 | else |
---|
| 6203 | doflip=.false. |
---|
| 6204 | endif |
---|
| 6205 | |
---|
| 6206 | uj=.false. |
---|
| 6207 | if(present(use_j)) uj=use_j |
---|
| 6208 | |
---|
| 6209 | nd=c_%nd2/2 |
---|
| 6210 | if(c_%ndpt/=0) nd=nd-1 |
---|
| 6211 | |
---|
| 6212 | allocate(jc(c_%nv)) |
---|
| 6213 | call alloc(tt,tt_xp) |
---|
| 6214 | call alloc(fq) |
---|
| 6215 | !! USE_J is false by default |
---|
| 6216 | |
---|
| 6217 | |
---|
| 6218 | fq=F*A |
---|
| 6219 | fq%sin=0.0_dp |
---|
| 6220 | |
---|
| 6221 | call taylor_cycle(fq%cos,size=n) |
---|
| 6222 | |
---|
| 6223 | do i=1,n |
---|
| 6224 | call taylor_cycle(fq%cos,ii=i,value=value,j=jc) |
---|
| 6225 | |
---|
| 6226 | it=0 |
---|
| 6227 | iu=0 |
---|
| 6228 | do j=1,nd |
---|
| 6229 | it=iabs(jc(j*2-1)-jc(j*2))+it |
---|
| 6230 | iu=iabs(jc(j*2-1)+jc(j*2))+iu |
---|
| 6231 | enddo |
---|
| 6232 | if(it==0) then |
---|
| 6233 | iu=iu/2 |
---|
| 6234 | valuexp=value |
---|
| 6235 | if(uj) then |
---|
| 6236 | value=valuexp*2.0_dp**iu |
---|
| 6237 | endif |
---|
| 6238 | tt=(value.mono.jc)+tt |
---|
| 6239 | tt_xp=(valuexp.mono.jc)+tt_xp |
---|
| 6240 | endif |
---|
| 6241 | |
---|
| 6242 | enddo |
---|
| 6243 | |
---|
| 6244 | fq%cos=tt |
---|
| 6245 | F_floquet=tt |
---|
| 6246 | |
---|
| 6247 | if(present(F_xp)) then |
---|
| 6248 | fq%cos=tt_xp |
---|
| 6249 | F_xp=fq |
---|
| 6250 | F_xp=F_xp*A**(-1) |
---|
| 6251 | endif |
---|
| 6252 | |
---|
| 6253 | deallocate(jc) |
---|
| 6254 | call kill(tt,tt_xp) |
---|
| 6255 | call kill(fq) |
---|
| 6256 | |
---|
| 6257 | if(doflip) then |
---|
| 6258 | call fliptaylor(F,F,-1) |
---|
| 6259 | call flip_damap(A,A) |
---|
| 6260 | call fliptaylor(F_floquet,F_floquet,-1) |
---|
| 6261 | if(present(F_xp)) call fliptaylor(F_xp,F_xp,-1) |
---|
| 6262 | perform_flip=.true. |
---|
| 6263 | endif |
---|
| 6264 | |
---|
| 6265 | end subroutine AVERAGE |
---|
| 6266 | |
---|
| 6267 | ! remove small numbers |
---|
| 6268 | |
---|
| 6269 | SUBROUTINE clean_damapspin(S1,S2,prec) |
---|
| 6270 | implicit none |
---|
| 6271 | type (damapspin),INTENT(INOUT)::S2 |
---|
| 6272 | type (damapspin), intent(INOUT):: s1 |
---|
| 6273 | real(dp) prec |
---|
| 6274 | integer i,j |
---|
| 6275 | |
---|
| 6276 | call clean_damap(s1%m,s2%m,prec) |
---|
| 6277 | do i=1,3 |
---|
| 6278 | do j=1,3 |
---|
| 6279 | call clean_real_8(s1%s%s(i,j),s2%s%s(i,j),prec) |
---|
| 6280 | enddo |
---|
| 6281 | enddo |
---|
| 6282 | |
---|
| 6283 | |
---|
| 6284 | END SUBROUTINE clean_damapspin |
---|
| 6285 | |
---|
| 6286 | SUBROUTINE clean_spinor_8(S1,S2,prec) |
---|
| 6287 | implicit none |
---|
| 6288 | type (spinor_8),INTENT(INOUT)::S2 |
---|
| 6289 | type (spinor_8), intent(INOUT):: s1 |
---|
| 6290 | real(dp) prec |
---|
| 6291 | integer i |
---|
| 6292 | |
---|
| 6293 | do i=1,3 |
---|
| 6294 | call clean_real_8(s1%x(i),s2%x(i),prec) |
---|
| 6295 | enddo |
---|
| 6296 | |
---|
| 6297 | END SUBROUTINE clean_spinor_8 |
---|
| 6298 | |
---|
| 6299 | SUBROUTINE clean_res_spinor_8(S1,S2,prec) |
---|
| 6300 | implicit none |
---|
| 6301 | type (res_spinor_8),INTENT(INOUT)::S2 |
---|
| 6302 | type (res_spinor_8), intent(INOUT):: s1 |
---|
| 6303 | real(dp) prec |
---|
| 6304 | integer i |
---|
| 6305 | |
---|
| 6306 | do i=1,3 |
---|
| 6307 | call clean_double_complex(s1%x(i),s2%x(i),prec) |
---|
| 6308 | enddo |
---|
| 6309 | |
---|
| 6310 | END SUBROUTINE clean_res_spinor_8 |
---|
| 6311 | |
---|
| 6312 | |
---|
| 6313 | ! TABLE STUFF FOR FUTURE DA |
---|
| 6314 | |
---|
| 6315 | integer function number_mon(n,m) |
---|
| 6316 | implicit none |
---|
| 6317 | integer i,n,m |
---|
| 6318 | |
---|
| 6319 | number_mon=1 |
---|
| 6320 | |
---|
| 6321 | |
---|
| 6322 | do i=n+m,max(n,m)+1,-1 |
---|
| 6323 | |
---|
| 6324 | number_mon=number_mon*i |
---|
| 6325 | enddo |
---|
| 6326 | |
---|
| 6327 | do i=2,min(n,m) |
---|
| 6328 | number_mon=number_mon/i |
---|
| 6329 | enddo |
---|
| 6330 | |
---|
| 6331 | end function number_mon |
---|
| 6332 | |
---|
| 6333 | integer function mul_fac(ju) |
---|
| 6334 | implicit none |
---|
| 6335 | integer ju(:),nv |
---|
| 6336 | integer i,k,no |
---|
| 6337 | |
---|
| 6338 | mul_fac=1.0_dp |
---|
| 6339 | if(firstfac) then |
---|
| 6340 | call make_fac |
---|
| 6341 | firstfac=.false. |
---|
| 6342 | endif |
---|
| 6343 | nv=size(ju) |
---|
| 6344 | |
---|
| 6345 | k=0 |
---|
| 6346 | do i=1,nv |
---|
| 6347 | k=k+ju(i) |
---|
| 6348 | enddo |
---|
| 6349 | |
---|
| 6350 | |
---|
| 6351 | do i=1,nv |
---|
| 6352 | if(ju(i)==0) cycle |
---|
| 6353 | |
---|
| 6354 | mul_fac=(fac(k)/fac(k-ju(i))/fac(ju(i)))*mul_fac |
---|
| 6355 | k=k-ju(i) |
---|
| 6356 | |
---|
| 6357 | enddo |
---|
| 6358 | |
---|
| 6359 | |
---|
| 6360 | end function mul_fac |
---|
| 6361 | |
---|
| 6362 | subroutine make_fac() |
---|
| 6363 | implicit none |
---|
| 6364 | integer i |
---|
| 6365 | |
---|
| 6366 | fac(0)=1.0_dp |
---|
| 6367 | do i=1,nfac |
---|
| 6368 | fac(i)=i*fac(i-1) |
---|
| 6369 | enddo |
---|
| 6370 | |
---|
| 6371 | end subroutine make_fac |
---|
| 6372 | |
---|
| 6373 | |
---|
| 6374 | integer function pos_mon(ju,nomax,nv) |
---|
| 6375 | implicit none |
---|
| 6376 | integer ju(:),no,nv,nomax |
---|
| 6377 | integer i,k,nk |
---|
| 6378 | |
---|
| 6379 | pos_mon=0 |
---|
| 6380 | no=0 |
---|
| 6381 | do i=1,nv |
---|
| 6382 | no=no+ju(i) |
---|
| 6383 | enddo |
---|
| 6384 | |
---|
| 6385 | nk=no |
---|
| 6386 | |
---|
| 6387 | if(nk>nomax) then |
---|
| 6388 | pos_mon=0 |
---|
| 6389 | return |
---|
| 6390 | endif |
---|
| 6391 | |
---|
| 6392 | do k=1,nv-1 |
---|
| 6393 | if(ju(k)/=0) then |
---|
| 6394 | pos_mon=pos_mon+number_mon(nk,nv-k)-number_mon(nk-ju(k),nv-k) |
---|
| 6395 | nk=nk-ju(k) |
---|
| 6396 | endif |
---|
| 6397 | enddo |
---|
| 6398 | pos_mon=pos_mon+1 |
---|
| 6399 | |
---|
| 6400 | if(no>0) pos_mon=pos_mon+number_mon(no-1,nv) |
---|
| 6401 | |
---|
| 6402 | end function pos_mon |
---|
| 6403 | |
---|
| 6404 | integer function pos_no(no,nomax,nv) |
---|
| 6405 | implicit none |
---|
| 6406 | integer ju(lnv),no,nv,nomax |
---|
| 6407 | |
---|
| 6408 | if(no==0) then |
---|
| 6409 | pos_no=0 |
---|
| 6410 | endif |
---|
| 6411 | if(no>nomax) then |
---|
| 6412 | pos_no=-1 |
---|
| 6413 | endif |
---|
| 6414 | ju=0 |
---|
| 6415 | ju(nv)=no |
---|
| 6416 | pos_no=pos_mon(ju,nomax,nv) |
---|
| 6417 | end function pos_no |
---|
| 6418 | |
---|
| 6419 | subroutine find_exp(p,ju,no,nv) |
---|
| 6420 | implicit none |
---|
| 6421 | integer ju(:),no,nv |
---|
| 6422 | integer i,nk,nvk,p,p0,p1,pg |
---|
| 6423 | |
---|
| 6424 | ju=0 |
---|
| 6425 | |
---|
| 6426 | if(p==1) then |
---|
| 6427 | return |
---|
| 6428 | endif |
---|
| 6429 | |
---|
| 6430 | if(p<=nv+1) then |
---|
| 6431 | ju(nv-p+2)=1 |
---|
| 6432 | return |
---|
| 6433 | endif |
---|
| 6434 | |
---|
| 6435 | |
---|
| 6436 | do i=1,no |
---|
| 6437 | p1=number_mon(i,nv) |
---|
| 6438 | if(p1>=p) then |
---|
| 6439 | nk=i |
---|
| 6440 | exit |
---|
| 6441 | endif |
---|
| 6442 | p0=p1 |
---|
| 6443 | enddo |
---|
| 6444 | |
---|
| 6445 | |
---|
| 6446 | |
---|
| 6447 | nvk=nv-1 |
---|
| 6448 | pg=p0 |
---|
| 6449 | do while(nvk>0) |
---|
| 6450 | |
---|
| 6451 | p1=pg |
---|
| 6452 | do i=0,nk |
---|
| 6453 | p1=number_mon(nk-i,nvk-1)+p1 |
---|
| 6454 | if(p1>=p) then |
---|
| 6455 | nk=nk-i |
---|
| 6456 | ju(nv-nvk)=i |
---|
| 6457 | nvk=nvk-1 |
---|
| 6458 | exit |
---|
| 6459 | endif |
---|
| 6460 | pg=p1 |
---|
| 6461 | enddo |
---|
| 6462 | enddo |
---|
| 6463 | ju(nv)=nk |
---|
| 6464 | end subroutine find_exp |
---|
| 6465 | |
---|
| 6466 | |
---|
| 6467 | |
---|
| 6468 | end module tree_element_MODULE |
---|