| | 3 | == Console1/Console1/Console1.f90 == |
| | 4 | {{{ |
| | 5 | #!fortran |
| | 6 | real x,dx,s |
| | 7 | !open(1,file='y1.dat', status='unknown') |
| | 8 | a=-0.5 |
| | 9 | b=0.5 |
| | 10 | n=100 |
| | 11 | dx=(b-a)/n |
| | 12 | S1=0 |
| | 13 | S2=0 |
| | 14 | S3=0 |
| | 15 | do i=0,n |
| | 16 | S1=S1+(f(i*dx+a)+f((i+1)*dx+a))/2*dx |
| | 17 | S2=S2+ f(i*dx+a)*dx |
| | 18 | if(mod(i,2)==0) then |
| | 19 | S3=S3+dx/3*2*f(i*dx+a) |
| | 20 | else |
| | 21 | S3=S3+dx/3*4*f(i*dx+a) |
| | 22 | end if |
| | 23 | |
| | 24 | end do |
| | 25 | print *, 'Trap = ', S1 , 'Rec=', S2 , 'Sim=', S3 |
| | 26 | pause |
| | 27 | |
| | 28 | contains |
| | 29 | |
| | 30 | function f(x) |
| | 31 | f=1/sqrt(1-x**2) |
| | 32 | end function f |
| | 33 | end |
| | 34 | }}} |
| | 35 | |
| | 36 | == Console10/Console10/Console10.f90 == |
| | 37 | {{{ |
| | 38 | #!fortran |
| | 39 | ! Osc_rk_0.f90 |
| | 40 | ! |
| | 41 | ! Lab #3 |
| | 42 | ! metod Runge-Kuta. Oscillator. |
| | 43 | |
| | 44 | external fct, out |
| | 45 | real aux(8,4) |
| | 46 | common /a/ dt, k, n, vm, A, om, rl, x, y, r, u(1), u(2), u(3), u(4) |
| | 47 | |
| | 48 | real :: pr(5)=(/0., 2*3.14159*20., 2*3.14159/50, .0001, .0/) |
| | 49 | |
| | 50 | |
| | 51 | integer :: nd = 2 |
| | 52 | real :: dt = 2*3.14159265 |
| | 53 | real :: t |
| | 54 | real :: c = 3.0e10 |
| | 55 | !B0=me*c*om/ez |
| | 56 | B0 = 200.0 |
| | 57 | E0 = 5000 |
| | 58 | eq = 4.8e-10 |
| | 59 | me = 9.1e-28 |
| | 60 | om = eq*B0/me*c |
| | 61 | A = 2.0 |
| | 62 | vm = A*om |
| | 63 | n = 1 |
| | 64 | k = 1 |
| | 65 | b = B0/B0 |
| | 66 | rl = c/om |
| | 67 | u(1) = vm/vm |
| | 68 | u(2) = vm/vm |
| | 69 | u(3) = x/rl |
| | 70 | u(4) = y/rl |
| | 71 | |
| | 72 | |
| | 73 | |
| | 74 | |
| | 75 | open (unit=2, file = '1_rk.dat', status='unknown') |
| | 76 | |
| | 77 | write(*,*) 'x=', u(3), 'vx=', u(1), 'y=', u(4), 'vy=', u(2) |
| | 78 | call rkgs(pr, u, du, nd, ih, fct, out, aux) |
| | 79 | |
| | 80 | write(2,*) 'ih=', ih |
| | 81 | |
| | 82 | |
| | 83 | end |
| | 84 | |
| | 85 | subroutine fct (t, u, du) |
| | 86 | |
| | 87 | real u(3), du(3), u(4), du(4) |
| | 88 | common /a/ dt, k, n, vm, A, om, rl, x, y, r, u(1), u(2), u(3), u(4) |
| | 89 | |
| | 90 | du(1) = -u(3) |
| | 91 | du(2) = u(4) |
| | 92 | du(3) = u(1) |
| | 93 | du(4) = u(2) |
| | 94 | |
| | 95 | return |
| | 96 | end |
| | 97 | |
| | 98 | subroutine out (t, u, du, ih, nd, pr) |
| | 99 | |
| | 100 | common /a/ dt, k, n, om, vm, A, rl, x, y, r, u(1), u(2), u(3), u(4) |
| | 101 | |
| | 102 | if (t.ge.k*(dt/20.)) then |
| | 103 | |
| | 104 | write (4,1) t, u(1), u(2), u(3), u(4) |
| | 105 | k = k + 1 |
| | 106 | else |
| | 107 | end if |
| | 108 | |
| | 109 | 1 format (f8.3, f8.3, f8.3) |
| | 110 | |
| | 111 | return |
| | 112 | end |
| | 113 | |
| | 114 | |
| | 115 | SUBROUTINE RKGS(PRMT,Y,DERY,NDIM,IHLF,FCT,OUTP,AUX) |
| | 116 | ! |
| | 117 | ! |
| | 118 | DIMENSION Y(2),DERY(2),AUX(8,2),A(4),B(4),C(4),PRMT(5) |
| | 119 | DO 1 I=1,NDIM |
| | 120 | 1 AUX(8,I)=.06666667*DERY(I) |
| | 121 | X=PRMT(1) |
| | 122 | XEND=PRMT(2) |
| | 123 | H=PRMT(3) |
| | 124 | PRMT(5)=0. |
| | 125 | CALL FCT(X,Y,DERY) |
| | 126 | ! |
| | 127 | ! ERROR TEST |
| | 128 | IF(H*(XEND-X))38,37,2 |
| | 129 | ! |
| | 130 | ! PREPARATIONS FOR RUNGE-KUTTA METHOD |
| | 131 | 2 A(1)=.5 |
| | 132 | A(2)=.2928932 |
| | 133 | A(3)=1.707107 |
| | 134 | A(4)=.1666667 |
| | 135 | B(1)=2. |
| | 136 | B(2)=1. |
| | 137 | B(3)=1. |
| | 138 | B(4)=2. |
| | 139 | C(1)=.5 |
| | 140 | C(2)=.2928932 |
| | 141 | C(3)=1.707107 |
| | 142 | C(4)=.5 |
| | 143 | ! |
| | 144 | ! PREPARATIONS OF FIRST RUNGE-KUTTA STEP |
| | 145 | DO 3 I=1,NDIM |
| | 146 | AUX(1,I)=Y(I) |
| | 147 | AUX(2,I)=DERY(I) |
| | 148 | AUX(3,I)=0. |
| | 149 | 3 AUX(6,I)=0. |
| | 150 | IREC=0 |
| | 151 | H=H+H |
| | 152 | IHLF=-1 |
| | 153 | ISTEP=0 |
| | 154 | IEND=0 |
| | 155 | ! |
| | 156 | ! |
| | 157 | ! START OF A RUNGE-KUTTA STEP |
| | 158 | 4 IF((X+H-XEND)*H)7,6,5 |
| | 159 | 5 H=XEND-X |
| | 160 | 6 IEND=1 |
| | 161 | ! |
| | 162 | ! RECORDING OF INITIAL VALUES OF THIS STEP |
| | 163 | 7 CALL OUTP(X,Y,DERY,IREC,NDIM,PRMT) |
| | 164 | IF(PRMT(5))40,8,40 |
| | 165 | 8 ITEST=0 |
| | 166 | 9 ISTEP=ISTEP+1 |
| | 167 | ! START OF INNERMOST RUNGE-KUTTA LOOP |
| | 168 | J=1 |
| | 169 | 10 AJ=A(J) |
| | 170 | BJ=B(J) |
| | 171 | CJ=C(J) |
| | 172 | DO 11 I=1,NDIM |
| | 173 | R1=H*DERY(I) |
| | 174 | R2=AJ*(R1-BJ*AUX(6,I)) |
| | 175 | Y(I)=Y(I)+R2 |
| | 176 | R2=R2+R2+R2 |
| | 177 | 11 AUX(6,I)=AUX(6,I)+R2-CJ*R1 |
| | 178 | IF(J-4)12,15,15 |
| | 179 | 12 J=J+1 |
| | 180 | IF(J-3)13,14,13 |
| | 181 | 13 X=X+.5*H |
| | 182 | 14 CALL FCT(X,Y,DERY) |
| | 183 | GOTO 10 |
| | 184 | ! END OF INNERMOST RUNGE-KUTTA LOOP |
| | 185 | ! TEST OF ACCURACY |
| | 186 | 15 IF(ITEST)16,16,20 |
| | 187 | ! |
| | 188 | ! IN CASE ITEST=0 THERE IS NO POSSIBILITY FOR TESTING OF ACCURACY |
| | 189 | 16 DO 17 I=1,NDIM |
| | 190 | 17 AUX(4,I)=Y(I) |
| | 191 | ITEST=1 |
| | 192 | ISTEP=ISTEP+ISTEP-2 |
| | 193 | 18 IHLF=IHLF+1 |
| | 194 | X=X-H |
| | 195 | H=.5*H |
| | 196 | DO 19 I=1,NDIM |
| | 197 | Y(I)=AUX(1,I) |
| | 198 | DERY(I)=AUX(2,I) |
| | 199 | 19 AUX(6,I)=AUX(3,I) |
| | 200 | GOTO 9 |
| | 201 | ! |
| | 202 | ! IN CASE ITEST=1 TESTING OF ACCURACY IS POSSIBLE |
| | 203 | 20 IMOD=ISTEP/2 |
| | 204 | IF(ISTEP-IMOD-IMOD)21,23,21 |
| | 205 | 21 CALL FCT(X,Y,DERY) |
| | 206 | DO 22 I=1,NDIM |
| | 207 | AUX(5,I)=Y(I) |
| | 208 | 22 AUX(7,I)=DERY(I) |
| | 209 | GOTO 9 |
| | 210 | ! |
| | 211 | ! COMPUTATION OF TEST VALUE DELT |
| | 212 | 23 DELT=0. |
| | 213 | DO 24 I=1,NDIM |
| | 214 | 24 DELT=DELT+AUX(8,I)*ABS(AUX(4,I)-Y(I)) |
| | 215 | IF(DELT-PRMT(4))28,28,25 |
| | 216 | ! |
| | 217 | ! ERROR IS TOO GREAT |
| | 218 | 25 IF(IHLF-10)26,36,36 |
| | 219 | 26 DO 27 I=1,NDIM |
| | 220 | 27 AUX(4,I)=AUX(5,I) |
| | 221 | ISTEP=ISTEP+ISTEP-4 |
| | 222 | X=X-H |
| | 223 | IEND=0 |
| | 224 | GOTO 18 |
| | 225 | ! |
| | 226 | ! RESULT VALUES ARE GOOD |
| | 227 | 28 CALL FCT(X,Y,DERY) |
| | 228 | DO 29 I=1,NDIM |
| | 229 | AUX(1,I)=Y(I) |
| | 230 | AUX(2,I)=DERY(I) |
| | 231 | AUX(3,I)=AUX(6,I) |
| | 232 | Y(I)=AUX(5,I) |
| | 233 | 29 DERY(I)=AUX(7,I) |
| | 234 | CALL OUTP(X-H,Y,DERY,IHLF,NDIM,PRMT) |
| | 235 | IF(PRMT(5))40,30,40 |
| | 236 | 30 DO 31 I=1,NDIM |
| | 237 | Y(I)=AUX(1,I) |
| | 238 | 31 DERY(I)=AUX(2,I) |
| | 239 | IREC=IHLF |
| | 240 | IF(IEND)32,32,39 |
| | 241 | ! |
| | 242 | ! INCREMENT GETS DOUBLED |
| | 243 | 32 IHLF=IHLF-1 |
| | 244 | ISTEP=ISTEP/2 |
| | 245 | H=H+H |
| | 246 | IF(IHLF)4,33,33 |
| | 247 | 33 IMOD=ISTEP/2 |
| | 248 | IF(ISTEP-IMOD-IMOD)4,34,4 |
| | 249 | 34 IF(DELT-.02*PRMT(4))35,35,4 |
| | 250 | 35 IHLF=IHLF-1 |
| | 251 | ISTEP=ISTEP/2 |
| | 252 | H=H+H |
| | 253 | GOTO 4 |
| | 254 | ! |
| | 255 | ! RETURNS TO CALLING PROGRAM |
| | 256 | 36 IHLF=11 |
| | 257 | CALL FCT(X,Y,DERY) |
| | 258 | GOTO 39 |
| | 259 | 37 IHLF=12 |
| | 260 | GOTO 39 |
| | 261 | 38 IHLF=13 |
| | 262 | 39 CALL OUTP(X,Y,DERY,IHLF,NDIM,PRMT) |
| | 263 | 40 RETURN |
| | 264 | END |
| | 265 | |
| | 266 | |
| | 267 | }}} |
| | 268 | |
| | 269 | == Console11/Console11/Console11.f90 == |
| | 270 | {{{ |
| | 271 | #!fortran |
| | 272 | ! Console11.f90 |
| | 273 | ! |
| | 274 | ! FUNCTIONS: |
| | 275 | ! Console11 - Entry point of console application. |
| | 276 | ! |
| | 277 | |
| | 278 | !**************************************************************************** |
| | 279 | ! |
| | 280 | ! PROGRAM: Console11 |
| | 281 | ! |
| | 282 | ! PURPOSE: Entry point for the console application. |
| | 283 | ! |
| | 284 | !**************************************************************************** |
| | 285 | |
| | 286 | program Console11 |
| | 287 | |
| | 288 | implicit none |
| | 289 | |
| | 290 | ! Variables |
| | 291 | |
| | 292 | ! Body of Console11 |
| | 293 | print *, 'Hello World' |
| | 294 | |
| | 295 | end program Console11 |
| | 296 | |
| | 297 | }}} |
| | 298 | |
| | 299 | == Console12/Console12/Console12.f90 == |
| | 300 | {{{ |
| | 301 | #!fortran |
| | 302 | ! Console12.f90 |
| | 303 | ! |
| | 304 | ! FUNCTIONS: |
| | 305 | ! Console12 - Entry point of console application. |
| | 306 | ! |
| | 307 | |
| | 308 | !**************************************************************************** |
| | 309 | ! |
| | 310 | ! PROGRAM: Console12 |
| | 311 | ! |
| | 312 | ! PURPOSE: Entry point for the console application. |
| | 313 | ! |
| | 314 | !**************************************************************************** |
| | 315 | |
| | 316 | program Console12 |
| | 317 | |
| | 318 | implicit none |
| | 319 | |
| | 320 | ! Variables |
| | 321 | |
| | 322 | ! Body of Console12 |
| | 323 | print *, 'Hello World' |
| | 324 | |
| | 325 | end program Console12 |
| | 326 | |
| | 327 | }}} |
| | 328 | |
| | 329 | == Console13/Console13/Console13.f90 == |
| | 330 | {{{ |
| | 331 | #!fortran |
| | 332 | integer :: n=1000 |
| | 333 | real(8) :: dt, t, vm, b, rl, om, x, y, vx, vy, B0 |
| | 334 | real(8) :: eq=-4.8e-10, me=9.1e-28, c = 3.0e10 |
| | 335 | !B0=me*c*om/ez |
| | 336 | B0 = 200.0 |
| | 337 | !E0 = 5000 |
| | 338 | !A = 1e-30 |
| | 339 | x=1.0 |
| | 340 | y=1.0 |
| | 341 | vx=1000.0 |
| | 342 | vy=1000.0 |
| | 343 | a=100 |
| | 344 | !b = B0/B0 |
| | 345 | !om = eq*B0/me*c |
| | 346 | !vm = A*om |
| | 347 | !print *, vm |
| | 348 | !rl = c/om |
| | 349 | !vx = vm/vm |
| | 350 | !vy = vm/vm |
| | 351 | !x = x/rl |
| | 352 | !y = y/rl |
| | 353 | !print *, rl |
| | 354 | t = 1.0e-8 |
| | 355 | dt = t/float(n) |
| | 356 | |
| | 357 | open (1,file='1',status='unknown') |
| | 358 | |
| | 359 | do i=1,n |
| | 360 | vx = vx+(B0*eq)/(c*me)*vy*dt |
| | 361 | vy = vy-(B0*eq)/(c*me)*vx*dt |
| | 362 | x = x+vx*dt |
| | 363 | y = y+vy*dt |
| | 364 | write(1,*) x, vx |
| | 365 | end do |
| | 366 | |
| | 367 | pause |
| | 368 | end program |
| | 369 | }}} |
| | 370 | |
| | 371 | == Console15/Console15/Console15.f90 == |
| | 372 | {{{ |
| | 373 | #!fortran |
| | 374 | x = (/1,5/) |
| | 375 | print *, x |
| | 376 | end |
| | 377 | }}} |
| | 378 | |
| | 379 | == Console16/Console16/Console16.f90 == |
| | 380 | {{{ |
| | 381 | #!fortran |
| | 382 | integer :: n=1000 |
| | 383 | real(8) :: dt, t, vm, om, x, y, vx, vy, B0,b |
| | 384 | real(8) :: eq=4.8e-10, me=9.1e-28, c = 3.0e10, R=1.0 |
| | 385 | x = 1.0 |
| | 386 | y = 1.0 |
| | 387 | a = 0.5 |
| | 388 | |
| | 389 | vx = 1.0e09 |
| | 390 | vy = 1.0e09 |
| | 391 | E0=0.0 |
| | 392 | B0 = 200.0 |
| | 393 | |
| | 394 | b=(2*3.14*6)/(1.0e09) |
| | 395 | |
| | 396 | !B0 = 1e-25 |
| | 397 | !E0 = 5000 |
| | 398 | !A = 1e-30 |
| | 399 | !b = B0/B0 |
| | 400 | !om = eq*B0/me*c |
| | 401 | !vm = A*om |
| | 402 | !print *, vm |
| | 403 | !rl = c/om |
| | 404 | !vx = vm/vm |
| | 405 | !vy = vm/vm |
| | 406 | !x = x/rl |
| | 407 | !y = y/rl |
| | 408 | !print *, rl |
| | 409 | t = 1.00e-08 |
| | 410 | dt = t/float(n) |
| | 411 | |
| | 412 | |
| | 413 | open (1,file='1',status='unknown') |
| | 414 | |
| | 415 | do i=1,n |
| | 416 | |
| | 417 | Bz = B0*(1+a*y) |
| | 418 | !Bz = B0 |
| | 419 | x = x + vx*dt |
| | 420 | y = y + vy*dt |
| | 421 | |
| | 422 | !vx = vx + (vy*eq*Bz)/(c*me)*dt |
| | 423 | !vy = vy - (vx*eq*Bz)/(c*me)*dt |
| | 424 | |
| | 425 | |
| | 426 | if(i*dt.gt.b) then |
| | 427 | E0 = 5.0 |
| | 428 | end if |
| | 429 | |
| | 430 | vx = vx +(eq*E0)/(me)*dt+(vy*eq*Bz)/(c*me)*dt |
| | 431 | vy = vy + (eq*E0)/(me)*dt-(vx*eq*Bz)/(c*me)*dt |
| | 432 | ! x = x + vx*dt |
| | 433 | !y = y + vy*dt |
| | 434 | |
| | 435 | !print *, vx, vy |
| | 436 | |
| | 437 | |
| | 438 | |
| | 439 | |
| | 440 | |
| | 441 | write (1,*) x, y |
| | 442 | |
| | 443 | end do |
| | 444 | pause |
| | 445 | end program |
| | 446 | }}} |
| | 447 | |
| | 448 | == Console17/Console17/Console17.f90 == |
| | 449 | {{{ |
| | 450 | #!fortran |
| | 451 | integer :: N = 1500 |
| | 452 | real(8) :: x = 2.5, y = 0.5, B0 = 500.0, We = 4.0054e-08, b = 2.0, pi = 3.14159, m = 9.1e-28, e = -4.8e-10, c = 2.99e10 |
| | 453 | real(8) vx, vy, v, dt, t |
| | 454 | |
| | 455 | v = sqrt(2*We/m) |
| | 456 | vx = sin(pi/4.0)*v |
| | 457 | vy = cos(pi/4.0)*v |
| | 458 | t = 5e-9 |
| | 459 | dt=t/float(N) |
| | 460 | !Norma |
| | 461 | !tau = t*10e8 |
| | 462 | !me = m*1e28 |
| | 463 | !qe = e*1e10 |
| | 464 | !vl = c*1e-10 |
| | 465 | !ve = v/c |
| | 466 | !vx = sin(pi/4.0)*v |
| | 467 | !vy = cos(pi/4.0)*v |
| | 468 | !dt = tau/float(N) |
| | 469 | |
| | 470 | open (1,file='mov',status='replace') |
| | 471 | do i=1,N |
| | 472 | Bz = B0*(1-b**2*(x**2+y**2)) |
| | 473 | x = x + vx*dt |
| | 474 | y = y + vy*dt |
| | 475 | vx = vx + vy/m*Bz*e/c*dt |
| | 476 | vy = vy - vx/m*Bz*e/c*dt |
| | 477 | print *, x, y |
| | 478 | pause |
| | 479 | write(1,*) y, x |
| | 480 | end do |
| | 481 | end program |
| | 482 | }}} |
| | 483 | |
| | 484 | == Console18/Console18/Console18.f90 == |
| | 485 | {{{ |
| | 486 | #!fortran |
| | 487 | ! Osc_rk_0.f90 |
| | 488 | ! |
| | 489 | ! Lab #3 |
| | 490 | ! metod Runge-Kuta. Oscillator. |
| | 491 | |
| | 492 | external fct, out |
| | 493 | real aux(8,2) |
| | 494 | common /a/ b, lam, f0, dt, k, n |
| | 495 | |
| | 496 | real :: pr(5)=(/0., 2*3.14159*20., 2*3.14159/50, .0001, .0/) |
| | 497 | real :: u(2) = (/0., 0.5/) |
| | 498 | real :: du(2) = (/0.5, 0.5/) |
| | 499 | real :: b=0.003 |
| | 500 | integer :: nd = 2 |
| | 501 | |
| | 502 | real :: dt = 2*3.14159265 |
| | 503 | |
| | 504 | ! real :: lam = 0.1 |
| | 505 | real :: f0 = 0.00 |
| | 506 | |
| | 507 | n = 1 |
| | 508 | k = 1 |
| | 509 | |
| | 510 | open (unit=2, file = 'osc_rk.dat', status='new') |
| | 511 | |
| | 512 | write(*,*) 'x=', u(1), 'v=', u(2) |
| | 513 | pause |
| | 514 | call rkgs(pr, u, du, nd, ih, fct, out, aux) |
| | 515 | |
| | 516 | write(2,*) 'ih=', ih |
| | 517 | |
| | 518 | stop |
| | 519 | end |
| | 520 | |
| | 521 | subroutine fct (t, u, du) |
| | 522 | |
| | 523 | real u(2), du(2), lam |
| | 524 | common /a/ b, lam, f0, dt, k, n |
| | 525 | |
| | 526 | du(1) = -u(2)-2.*b*u(1) |
| | 527 | du(2) = u(1) |
| | 528 | |
| | 529 | return |
| | 530 | end |
| | 531 | |
| | 532 | subroutine out (t, u, du, ih, nd, pr) |
| | 533 | real u(2), du(2), pr(5), lam |
| | 534 | common /a/ b, lam, f0, dt, k, n |
| | 535 | |
| | 536 | if (t.ge.k*(dt/20.)) then |
| | 537 | |
| | 538 | write (2,1) t,u(1),u(2) ! |
| | 539 | k = k + 1 |
| | 540 | else |
| | 541 | end if |
| | 542 | |
| | 543 | 1 format (f8.3, f8.3, f8.3) |
| | 544 | |
| | 545 | return |
| | 546 | end |
| | 547 | |
| | 548 | |
| | 549 | SUBROUTINE RKGS(PRMT,Y,DERY,NDIM,IHLF,FCT,OUTP,AUX) |
| | 550 | ! |
| | 551 | ! |
| | 552 | DIMENSION Y(2),DERY(2),AUX(8,2),A(4),B(4),C(4),PRMT(5) |
| | 553 | DO 1 I=1,NDIM |
| | 554 | 1 AUX(8,I)=.06666667*DERY(I) |
| | 555 | X=PRMT(1) |
| | 556 | XEND=PRMT(2) |
| | 557 | H=PRMT(3) |
| | 558 | PRMT(5)=0. |
| | 559 | CALL FCT(X,Y,DERY) |
| | 560 | ! |
| | 561 | ! ERROR TEST |
| | 562 | IF(H*(XEND-X))38,37,2 |
| | 563 | ! |
| | 564 | ! PREPARATIONS FOR RUNGE-KUTTA METHOD |
| | 565 | 2 A(1)=.5 |
| | 566 | A(2)=.2928932 |
| | 567 | A(3)=1.707107 |
| | 568 | A(4)=.1666667 |
| | 569 | B(1)=2. |
| | 570 | B(2)=1. |
| | 571 | B(3)=1. |
| | 572 | B(4)=2. |
| | 573 | C(1)=.5 |
| | 574 | C(2)=.2928932 |
| | 575 | C(3)=1.707107 |
| | 576 | C(4)=.5 |
| | 577 | ! |
| | 578 | ! PREPARATIONS OF FIRST RUNGE-KUTTA STEP |
| | 579 | DO 3 I=1,NDIM |
| | 580 | AUX(1,I)=Y(I) |
| | 581 | AUX(2,I)=DERY(I) |
| | 582 | AUX(3,I)=0. |
| | 583 | 3 AUX(6,I)=0. |
| | 584 | IREC=0 |
| | 585 | H=H+H |
| | 586 | IHLF=-1 |
| | 587 | ISTEP=0 |
| | 588 | IEND=0 |
| | 589 | ! |
| | 590 | ! |
| | 591 | ! START OF A RUNGE-KUTTA STEP |
| | 592 | 4 IF((X+H-XEND)*H)7,6,5 |
| | 593 | 5 H=XEND-X |
| | 594 | 6 IEND=1 |
| | 595 | ! |
| | 596 | ! RECORDING OF INITIAL VALUES OF THIS STEP |
| | 597 | 7 CALL OUTP(X,Y,DERY,IREC,NDIM,PRMT) |
| | 598 | IF(PRMT(5))40,8,40 |
| | 599 | 8 ITEST=0 |
| | 600 | 9 ISTEP=ISTEP+1 |
| | 601 | ! START OF INNERMOST RUNGE-KUTTA LOOP |
| | 602 | J=1 |
| | 603 | 10 AJ=A(J) |
| | 604 | BJ=B(J) |
| | 605 | CJ=C(J) |
| | 606 | DO 11 I=1,NDIM |
| | 607 | R1=H*DERY(I) |
| | 608 | R2=AJ*(R1-BJ*AUX(6,I)) |
| | 609 | Y(I)=Y(I)+R2 |
| | 610 | R2=R2+R2+R2 |
| | 611 | 11 AUX(6,I)=AUX(6,I)+R2-CJ*R1 |
| | 612 | IF(J-4)12,15,15 |
| | 613 | 12 J=J+1 |
| | 614 | IF(J-3)13,14,13 |
| | 615 | 13 X=X+.5*H |
| | 616 | 14 CALL FCT(X,Y,DERY) |
| | 617 | GOTO 10 |
| | 618 | ! END OF INNERMOST RUNGE-KUTTA LOOP |
| | 619 | ! TEST OF ACCURACY |
| | 620 | 15 IF(ITEST)16,16,20 |
| | 621 | ! |
| | 622 | ! IN CASE ITEST=0 THERE IS NO POSSIBILITY FOR TESTING OF ACCURACY |
| | 623 | 16 DO 17 I=1,NDIM |
| | 624 | 17 AUX(4,I)=Y(I) |
| | 625 | ITEST=1 |
| | 626 | ISTEP=ISTEP+ISTEP-2 |
| | 627 | 18 IHLF=IHLF+1 |
| | 628 | X=X-H |
| | 629 | H=.5*H |
| | 630 | DO 19 I=1,NDIM |
| | 631 | Y(I)=AUX(1,I) |
| | 632 | DERY(I)=AUX(2,I) |
| | 633 | 19 AUX(6,I)=AUX(3,I) |
| | 634 | GOTO 9 |
| | 635 | ! |
| | 636 | ! IN CASE ITEST=1 TESTING OF ACCURACY IS POSSIBLE |
| | 637 | 20 IMOD=ISTEP/2 |
| | 638 | IF(ISTEP-IMOD-IMOD)21,23,21 |
| | 639 | 21 CALL FCT(X,Y,DERY) |
| | 640 | DO 22 I=1,NDIM |
| | 641 | AUX(5,I)=Y(I) |
| | 642 | 22 AUX(7,I)=DERY(I) |
| | 643 | GOTO 9 |
| | 644 | ! |
| | 645 | ! COMPUTATION OF TEST VALUE DELT |
| | 646 | 23 DELT=0. |
| | 647 | DO 24 I=1,NDIM |
| | 648 | 24 DELT=DELT+AUX(8,I)*ABS(AUX(4,I)-Y(I)) |
| | 649 | IF(DELT-PRMT(4))28,28,25 |
| | 650 | ! |
| | 651 | ! ERROR IS TOO GREAT |
| | 652 | 25 IF(IHLF-10)26,36,36 |
| | 653 | 26 DO 27 I=1,NDIM |
| | 654 | 27 AUX(4,I)=AUX(5,I) |
| | 655 | ISTEP=ISTEP+ISTEP-4 |
| | 656 | X=X-H |
| | 657 | IEND=0 |
| | 658 | GOTO 18 |
| | 659 | ! |
| | 660 | ! RESULT VALUES ARE GOOD |
| | 661 | 28 CALL FCT(X,Y,DERY) |
| | 662 | DO 29 I=1,NDIM |
| | 663 | AUX(1,I)=Y(I) |
| | 664 | AUX(2,I)=DERY(I) |
| | 665 | AUX(3,I)=AUX(6,I) |
| | 666 | Y(I)=AUX(5,I) |
| | 667 | 29 DERY(I)=AUX(7,I) |
| | 668 | CALL OUTP(X-H,Y,DERY,IHLF,NDIM,PRMT) |
| | 669 | IF(PRMT(5))40,30,40 |
| | 670 | 30 DO 31 I=1,NDIM |
| | 671 | Y(I)=AUX(1,I) |
| | 672 | 31 DERY(I)=AUX(2,I) |
| | 673 | IREC=IHLF |
| | 674 | IF(IEND)32,32,39 |
| | 675 | ! |
| | 676 | ! INCREMENT GETS DOUBLED |
| | 677 | 32 IHLF=IHLF-1 |
| | 678 | ISTEP=ISTEP/2 |
| | 679 | H=H+H |
| | 680 | IF(IHLF)4,33,33 |
| | 681 | 33 IMOD=ISTEP/2 |
| | 682 | IF(ISTEP-IMOD-IMOD)4,34,4 |
| | 683 | 34 IF(DELT-.02*PRMT(4))35,35,4 |
| | 684 | 35 IHLF=IHLF-1 |
| | 685 | ISTEP=ISTEP/2 |
| | 686 | H=H+H |
| | 687 | GOTO 4 |
| | 688 | ! |
| | 689 | ! RETURNS TO CALLING PROGRAM |
| | 690 | 36 IHLF=11 |
| | 691 | CALL FCT(X,Y,DERY) |
| | 692 | GOTO 39 |
| | 693 | 37 IHLF=12 |
| | 694 | GOTO 39 |
| | 695 | 38 IHLF=13 |
| | 696 | 39 CALL OUTP(X,Y,DERY,IHLF,NDIM,PRMT) |
| | 697 | 40 RETURN |
| | 698 | END |
| | 699 | |
| | 700 | }}} |
| | 701 | |
| | 702 | == Console19/Console19/Console19.f90 == |
| | 703 | {{{ |
| | 704 | #!fortran |
| | 705 | ! Osc_rk_0.f90 |
| | 706 | ! |
| | 707 | ! Lab #3 |
| | 708 | ! metod Runge-Kuta. Oscillator. |
| | 709 | |
| | 710 | external fct, out |
| | 711 | real aux(8,2) |
| | 712 | common /a/ b, lam, f0, dt, k, n, c |
| | 713 | |
| | 714 | real :: pr(5)=(/0., 2*3.14159*100., 2*3.14159/50, .0001, .0/) |
| | 715 | real :: u(2) = (/0., 0.5/) |
| | 716 | real :: du(2) = (/0.5, 0.5/) |
| | 717 | real :: b=0.003 |
| | 718 | integer :: nd = 2 |
| | 719 | real:: c = 2.0 |
| | 720 | real :: dt = 2*3.14159265 |
| | 721 | |
| | 722 | |
| | 723 | ! real :: lam = 0.1 |
| | 724 | real :: f0 = 0.00 |
| | 725 | |
| | 726 | n = 1 |
| | 727 | k = 1 |
| | 728 | |
| | 729 | open (unit=2, file = 'osc_rk.dat', status='new') |
| | 730 | |
| | 731 | write(*,*) 'x=', u(1), 'v=', u(2) |
| | 732 | pause |
| | 733 | call rkgs(pr, u, du, nd, ih, fct, out, aux) |
| | 734 | |
| | 735 | write(2,*) 'ih=', ih |
| | 736 | |
| | 737 | stop |
| | 738 | end |
| | 739 | |
| | 740 | subroutine fct (t, u, du) |
| | 741 | |
| | 742 | real u(2), du(2), lam |
| | 743 | common /a/ b, lam, f0, dt, k, n, c |
| | 744 | |
| | 745 | du(1) = c*cos(0.5*t)-u(2)-2.*b*u(1) |
| | 746 | du(2) = u(1) |
| | 747 | |
| | 748 | return |
| | 749 | end |
| | 750 | |
| | 751 | subroutine out (t, u, du, ih, nd, pr) |
| | 752 | real u(2), du(2), pr(5), lam |
| | 753 | common /a/ b, lam, f0, dt, k, n, c |
| | 754 | |
| | 755 | if (t.ge.k*(dt/20.)) then |
| | 756 | |
| | 757 | write (2,1) t,u(1),u(2) ! |
| | 758 | k = k + 1 |
| | 759 | else |
| | 760 | end if |
| | 761 | |
| | 762 | 1 format (f8.3, f8.3, f8.3) |
| | 763 | |
| | 764 | return |
| | 765 | end |
| | 766 | |
| | 767 | |
| | 768 | SUBROUTINE RKGS(PRMT,Y,DERY,NDIM,IHLF,FCT,OUTP,AUX) |
| | 769 | ! |
| | 770 | ! |
| | 771 | DIMENSION Y(2),DERY(2),AUX(8,2),A(4),B(4),C(4),PRMT(5) |
| | 772 | DO 1 I=1,NDIM |
| | 773 | 1 AUX(8,I)=.06666667*DERY(I) |
| | 774 | X=PRMT(1) |
| | 775 | XEND=PRMT(2) |
| | 776 | H=PRMT(3) |
| | 777 | PRMT(5)=0. |
| | 778 | CALL FCT(X,Y,DERY) |
| | 779 | ! |
| | 780 | ! ERROR TEST |
| | 781 | IF(H*(XEND-X))38,37,2 |
| | 782 | ! |
| | 783 | ! PREPARATIONS FOR RUNGE-KUTTA METHOD |
| | 784 | 2 A(1)=.5 |
| | 785 | A(2)=.2928932 |
| | 786 | A(3)=1.707107 |
| | 787 | A(4)=.1666667 |
| | 788 | B(1)=2. |
| | 789 | B(2)=1. |
| | 790 | B(3)=1. |
| | 791 | B(4)=2. |
| | 792 | C(1)=.5 |
| | 793 | C(2)=.2928932 |
| | 794 | C(3)=1.707107 |
| | 795 | C(4)=.5 |
| | 796 | ! |
| | 797 | ! PREPARATIONS OF FIRST RUNGE-KUTTA STEP |
| | 798 | DO 3 I=1,NDIM |
| | 799 | AUX(1,I)=Y(I) |
| | 800 | AUX(2,I)=DERY(I) |
| | 801 | AUX(3,I)=0. |
| | 802 | 3 AUX(6,I)=0. |
| | 803 | IREC=0 |
| | 804 | H=H+H |
| | 805 | IHLF=-1 |
| | 806 | ISTEP=0 |
| | 807 | IEND=0 |
| | 808 | ! |
| | 809 | ! |
| | 810 | ! START OF A RUNGE-KUTTA STEP |
| | 811 | 4 IF((X+H-XEND)*H)7,6,5 |
| | 812 | 5 H=XEND-X |
| | 813 | 6 IEND=1 |
| | 814 | ! |
| | 815 | ! RECORDING OF INITIAL VALUES OF THIS STEP |
| | 816 | 7 CALL OUTP(X,Y,DERY,IREC,NDIM,PRMT) |
| | 817 | IF(PRMT(5))40,8,40 |
| | 818 | 8 ITEST=0 |
| | 819 | 9 ISTEP=ISTEP+1 |
| | 820 | ! START OF INNERMOST RUNGE-KUTTA LOOP |
| | 821 | J=1 |
| | 822 | 10 AJ=A(J) |
| | 823 | BJ=B(J) |
| | 824 | CJ=C(J) |
| | 825 | DO 11 I=1,NDIM |
| | 826 | R1=H*DERY(I) |
| | 827 | R2=AJ*(R1-BJ*AUX(6,I)) |
| | 828 | Y(I)=Y(I)+R2 |
| | 829 | R2=R2+R2+R2 |
| | 830 | 11 AUX(6,I)=AUX(6,I)+R2-CJ*R1 |
| | 831 | IF(J-4)12,15,15 |
| | 832 | 12 J=J+1 |
| | 833 | IF(J-3)13,14,13 |
| | 834 | 13 X=X+.5*H |
| | 835 | 14 CALL FCT(X,Y,DERY) |
| | 836 | GOTO 10 |
| | 837 | ! END OF INNERMOST RUNGE-KUTTA LOOP |
| | 838 | ! TEST OF ACCURACY |
| | 839 | 15 IF(ITEST)16,16,20 |
| | 840 | ! |
| | 841 | ! IN CASE ITEST=0 THERE IS NO POSSIBILITY FOR TESTING OF ACCURACY |
| | 842 | 16 DO 17 I=1,NDIM |
| | 843 | 17 AUX(4,I)=Y(I) |
| | 844 | ITEST=1 |
| | 845 | ISTEP=ISTEP+ISTEP-2 |
| | 846 | 18 IHLF=IHLF+1 |
| | 847 | X=X-H |
| | 848 | H=.5*H |
| | 849 | DO 19 I=1,NDIM |
| | 850 | Y(I)=AUX(1,I) |
| | 851 | DERY(I)=AUX(2,I) |
| | 852 | 19 AUX(6,I)=AUX(3,I) |
| | 853 | GOTO 9 |
| | 854 | ! |
| | 855 | ! IN CASE ITEST=1 TESTING OF ACCURACY IS POSSIBLE |
| | 856 | 20 IMOD=ISTEP/2 |
| | 857 | IF(ISTEP-IMOD-IMOD)21,23,21 |
| | 858 | 21 CALL FCT(X,Y,DERY) |
| | 859 | DO 22 I=1,NDIM |
| | 860 | AUX(5,I)=Y(I) |
| | 861 | 22 AUX(7,I)=DERY(I) |
| | 862 | GOTO 9 |
| | 863 | ! |
| | 864 | ! COMPUTATION OF TEST VALUE DELT |
| | 865 | 23 DELT=0. |
| | 866 | DO 24 I=1,NDIM |
| | 867 | 24 DELT=DELT+AUX(8,I)*ABS(AUX(4,I)-Y(I)) |
| | 868 | IF(DELT-PRMT(4))28,28,25 |
| | 869 | ! |
| | 870 | ! ERROR IS TOO GREAT |
| | 871 | 25 IF(IHLF-10)26,36,36 |
| | 872 | 26 DO 27 I=1,NDIM |
| | 873 | 27 AUX(4,I)=AUX(5,I) |
| | 874 | ISTEP=ISTEP+ISTEP-4 |
| | 875 | X=X-H |
| | 876 | IEND=0 |
| | 877 | GOTO 18 |
| | 878 | ! |
| | 879 | ! RESULT VALUES ARE GOOD |
| | 880 | 28 CALL FCT(X,Y,DERY) |
| | 881 | DO 29 I=1,NDIM |
| | 882 | AUX(1,I)=Y(I) |
| | 883 | AUX(2,I)=DERY(I) |
| | 884 | AUX(3,I)=AUX(6,I) |
| | 885 | Y(I)=AUX(5,I) |
| | 886 | 29 DERY(I)=AUX(7,I) |
| | 887 | CALL OUTP(X-H,Y,DERY,IHLF,NDIM,PRMT) |
| | 888 | IF(PRMT(5))40,30,40 |
| | 889 | 30 DO 31 I=1,NDIM |
| | 890 | Y(I)=AUX(1,I) |
| | 891 | 31 DERY(I)=AUX(2,I) |
| | 892 | IREC=IHLF |
| | 893 | IF(IEND)32,32,39 |
| | 894 | ! |
| | 895 | ! INCREMENT GETS DOUBLED |
| | 896 | 32 IHLF=IHLF-1 |
| | 897 | ISTEP=ISTEP/2 |
| | 898 | H=H+H |
| | 899 | IF(IHLF)4,33,33 |
| | 900 | 33 IMOD=ISTEP/2 |
| | 901 | IF(ISTEP-IMOD-IMOD)4,34,4 |
| | 902 | 34 IF(DELT-.02*PRMT(4))35,35,4 |
| | 903 | 35 IHLF=IHLF-1 |
| | 904 | ISTEP=ISTEP/2 |
| | 905 | H=H+H |
| | 906 | GOTO 4 |
| | 907 | ! |
| | 908 | ! RETURNS TO CALLING PROGRAM |
| | 909 | 36 IHLF=11 |
| | 910 | CALL FCT(X,Y,DERY) |
| | 911 | GOTO 39 |
| | 912 | 37 IHLF=12 |
| | 913 | GOTO 39 |
| | 914 | 38 IHLF=13 |
| | 915 | 39 CALL OUTP(X,Y,DERY,IHLF,NDIM,PRMT) |
| | 916 | 40 RETURN |
| | 917 | END |
| | 918 | |
| | 919 | }}} |
| | 920 | |
| | 921 | == Console2/Console2/Console2.f90 == |
| | 922 | {{{ |
| | 923 | #!fortran |
| | 924 | real x,dx,s |
| | 925 | !open(1,file='y1.dat', status='unknown') |
| | 926 | a=0 |
| | 927 | b=1.57 |
| | 928 | n=100 |
| | 929 | dx=(b-a)/n |
| | 930 | S=0 |
| | 931 | do i=0,n |
| | 932 | if(mod(i,2)==0) then |
| | 933 | S=S+dx/3*2*f(i*dx+a) |
| | 934 | else |
| | 935 | S=S+dx/3*4*f(i*dx+a) |
| | 936 | end if |
| | 937 | end do |
| | 938 | |
| | 939 | print *, 'Sim = ', S |
| | 940 | pause |
| | 941 | |
| | 942 | contains |
| | 943 | |
| | 944 | function f(x) |
| | 945 | f=sin(x)*sin(2*x)*sin(3*x) |
| | 946 | end function f |
| | 947 | end |
| | 948 | }}} |
| | 949 | |
| | 950 | == Console20/Console20/Console20.f90 == |
| | 951 | {{{ |
| | 952 | #!fortran |
| | 953 | ! Console20.f90 |
| | 954 | ! |
| | 955 | ! FUNCTIONS: |
| | 956 | ! Console20 - Entry point of console application. |
| | 957 | ! |
| | 958 | |
| | 959 | !**************************************************************************** |
| | 960 | ! |
| | 961 | ! PROGRAM: Console20 |
| | 962 | ! |
| | 963 | ! PURPOSE: Entry point for the console application. |
| | 964 | ! |
| | 965 | !**************************************************************************** |
| | 966 | |
| | 967 | program Console20 |
| | 968 | |
| | 969 | implicit none |
| | 970 | |
| | 971 | ! Variables |
| | 972 | |
| | 973 | ! Body of Console20 |
| | 974 | print *, 'Hello World' |
| | 975 | |
| | 976 | end program Console20 |
| | 977 | |
| | 978 | }}} |
| | 979 | |
| | 980 | == Console21/Console21/Console21.f90 == |
| | 981 | {{{ |
| | 982 | #!fortran |
| | 983 | integer :: n=1000 |
| | 984 | real(8) :: dt, t, vm, om, x, y, vx, vy, B0,b |
| | 985 | real(8) :: eq=4.8e-10, me=9.1e-28, c = 3.0e10, R=1.0 |
| | 986 | x = 1.0 |
| | 987 | y = 1.0 |
| | 988 | a = 0.5 |
| | 989 | |
| | 990 | vx = 1.0e09 |
| | 991 | vy = 1.0e09 |
| | 992 | E0 = 0.0 |
| | 993 | B0 = 200.0 |
| | 994 | |
| | 995 | b = (2*3.14)/(1.0e09) |
| | 996 | |
| | 997 | t = 1.00e-08 |
| | 998 | dt = t/float(n) |
| | 999 | |
| | 1000 | |
| | 1001 | open (1,file='1',status='unknown') |
| | 1002 | |
| | 1003 | do i=1,n |
| | 1004 | |
| | 1005 | Bz = B0*(1+a*y) |
| | 1006 | !Bz = B0 |
| | 1007 | x = x + vx*dt |
| | 1008 | y = y + vy*dt |
| | 1009 | |
| | 1010 | vx = vx + (vy*eq*Bz)/(c*me)*dt |
| | 1011 | vy = vy - (vx*eq*Bz)/(c*me)*dt |
| | 1012 | |
| | 1013 | |
| | 1014 | if(i*dt.gt.b) then |
| | 1015 | E0 = 3.0 |
| | 1016 | end if |
| | 1017 | |
| | 1018 | vx = vx + (vy*eq*Bz)/(c*me)*dt |
| | 1019 | vy = vy + (eq*E0)/(me)*dt - (vx*eq*Bz)/(c*me)*dt |
| | 1020 | x = x - vx*dt |
| | 1021 | y = y + vy*dt |
| | 1022 | |
| | 1023 | !print *, vx, vy |
| | 1024 | |
| | 1025 | |
| | 1026 | |
| | 1027 | |
| | 1028 | |
| | 1029 | write (1,*) x, y |
| | 1030 | |
| | 1031 | end do |
| | 1032 | pause |
| | 1033 | end program |
| | 1034 | }}} |
| | 1035 | |
| | 1036 | == Console22/Console22/Console22.f90 == |
| | 1037 | {{{ |
| | 1038 | #!fortran |
| | 1039 | integer :: n=1000 |
| | 1040 | real(8) :: dt, t, x, y, vx, vy, v, E, W |
| | 1041 | real(8) :: mp = 1.67e-24, q = 4.8e-10 |
| | 1042 | x = 1.0 |
| | 1043 | y = 1.0 |
| | 1044 | d = 1.0 |
| | 1045 | a = 30 |
| | 1046 | W0 = 1000 |
| | 1047 | |
| | 1048 | v = sqrt(2*W0/mp) |
| | 1049 | |
| | 1050 | |
| | 1051 | t = 1.00e-05 |
| | 1052 | dt = t/float(n) |
| | 1053 | |
| | 1054 | |
| | 1055 | open (1,file='1',status='unknown') |
| | 1056 | |
| | 1057 | do i=1,n |
| | 1058 | |
| | 1059 | vx = v*sin(a) |
| | 1060 | vy = v*cos(a) |
| | 1061 | x = x + vx*dt |
| | 1062 | y = y + vy*dt |
| | 1063 | |
| | 1064 | E = (4*3.14*mp*y)/d |
| | 1065 | W = (E*q)/ x |
| | 1066 | |
| | 1067 | |
| | 1068 | |
| | 1069 | |
| | 1070 | !print *, vx, vy |
| | 1071 | |
| | 1072 | |
| | 1073 | |
| | 1074 | |
| | 1075 | write (1,*) W, t |
| | 1076 | |
| | 1077 | end do |
| | 1078 | pause |
| | 1079 | end program |
| | 1080 | }}} |
| | 1081 | |
| | 1082 | == Console24/Console24/Console24.f90 == |
| | 1083 | {{{ |
| | 1084 | #!fortran |
| | 1085 | |
| | 1086 | ! Lab #1 |
| | 1087 | ! metod Runge-Kuta. Rezonans i avtorezonans. |
| | 1088 | |
| | 1089 | external fct, out |
| | 1090 | real aux(8,2) |
| | 1091 | common /a/ dt, k, n, g0, om, B0, B, a |
| | 1092 | |
| | 1093 | real :: pr(5)=(/0., 2*3.14159*100., 2*3.14159/50, .0001, .0/) |
| | 1094 | real :: u(2) = (/0., 0.5/) |
| | 1095 | real :: du(2) = (/0.5, 0.5/) |
| | 1096 | |
| | 1097 | integer :: nd = 2 |
| | 1098 | real :: dt = 2*3.14159265 |
| | 1099 | |
| | 1100 | real :: t, m0, B, B0, a |
| | 1101 | real :: f0 = 0.00 |
| | 1102 | f = 2.45e09 |
| | 1103 | pi = 3.14159265 |
| | 1104 | ez = 4.8e-10 |
| | 1105 | m0 = 9.1e-28 |
| | 1106 | c = 3.0e10 |
| | 1107 | om = 2*pi*f |
| | 1108 | E = 2. |
| | 1109 | w = 1000. |
| | 1110 | a = 0.09 |
| | 1111 | g0 = ez*E/(m0*c*om) |
| | 1112 | B0 = m0*c*om/ez |
| | 1113 | B = B0*(1+a*t) |
| | 1114 | b = B/B0 |
| | 1115 | u(1) = pi |
| | 1116 | u(2) = w/511000.+1 |
| | 1117 | write (*,*) g0 |
| | 1118 | pause |
| | 1119 | |
| | 1120 | |
| | 1121 | |
| | 1122 | n = 1 |
| | 1123 | k = 1 |
| | 1124 | |
| | 1125 | open (unit=2, file = 'rez_avtorez.dat', status='unknown') |
| | 1126 | |
| | 1127 | |
| | 1128 | call rkgs(pr, u, du, nd, ih, fct, out, aux) |
| | 1129 | |
| | 1130 | write(2,*) 'ih=' ,ih |
| | 1131 | |
| | 1132 | |
| | 1133 | |
| | 1134 | end |
| | 1135 | |
| | 1136 | subroutine fct (t, u, du) |
| | 1137 | |
| | 1138 | real u(2), du(2), lam |
| | 1139 | common /a/ dt, k, n, g0, om, B, B0, a |
| | 1140 | |
| | 1141 | du(1) = (a*t+1-u(2))/u(2)+g0*sqrt(1./(u(2)**2-1))*sin(u(1)) |
| | 1142 | du(2) = -g0*sqrt(1.-1./u(2)**2)*cos(u(1)) |
| | 1143 | |
| | 1144 | !write (*,*) du(1), du(2) |
| | 1145 | !pause |
| | 1146 | |
| | 1147 | return |
| | 1148 | end |
| | 1149 | |
| | 1150 | subroutine out (t, u, du, ih, nd, pr) |
| | 1151 | real u(2), du(2), pr(5), lam |
| | 1152 | common /a/ dt, k, n, g0, om, B, B0, a |
| | 1153 | |
| | 1154 | if (t.ge.k*(dt/2.)) then |
| | 1155 | |
| | 1156 | write (2,1) t,u(1),(u(2)-1)*511. |
| | 1157 | k = k + 1 |
| | 1158 | else |
| | 1159 | end if |
| | 1160 | |
| | 1161 | 1 format (3e10.3) |
| | 1162 | |
| | 1163 | return |
| | 1164 | end |
| | 1165 | |
| | 1166 | |
| | 1167 | SUBROUTINE RKGS(PRMT,Y,DERY,NDIM,IHLF,FCT,OUTP,AUX) |
| | 1168 | ! |
| | 1169 | ! |
| | 1170 | DIMENSION Y(2),DERY(2),AUX(8,2),A(4),B(4),C(4),PRMT(5) |
| | 1171 | DO 1 I=1,NDIM |
| | 1172 | 1 AUX(8,I)=.06666667*DERY(I) |
| | 1173 | X=PRMT(1) |
| | 1174 | XEND=PRMT(2) |
| | 1175 | H=PRMT(3) |
| | 1176 | PRMT(5)=0. |
| | 1177 | CALL FCT(X,Y,DERY) |
| | 1178 | ! |
| | 1179 | ! ERROR TEST |
| | 1180 | IF(H*(XEND-X))38,37,2 |
| | 1181 | ! |
| | 1182 | ! PREPARATIONS FOR RUNGE-KUTTA METHOD |
| | 1183 | 2 A(1)=.5 |
| | 1184 | A(2)=.2928932 |
| | 1185 | A(3)=1.707107 |
| | 1186 | A(4)=.1666667 |
| | 1187 | B(1)=2. |
| | 1188 | B(2)=1. |
| | 1189 | B(3)=1. |
| | 1190 | B(4)=2. |
| | 1191 | C(1)=.5 |
| | 1192 | C(2)=.2928932 |
| | 1193 | C(3)=1.707107 |
| | 1194 | C(4)=.5 |
| | 1195 | ! |
| | 1196 | ! PREPARATIONS OF FIRST RUNGE-KUTTA STEP |
| | 1197 | DO 3 I=1,NDIM |
| | 1198 | AUX(1,I)=Y(I) |
| | 1199 | AUX(2,I)=DERY(I) |
| | 1200 | AUX(3,I)=0. |
| | 1201 | 3 AUX(6,I)=0. |
| | 1202 | IREC=0 |
| | 1203 | H=H+H |
| | 1204 | IHLF=-1 |
| | 1205 | ISTEP=0 |
| | 1206 | IEND=0 |
| | 1207 | ! |
| | 1208 | ! |
| | 1209 | ! START OF A RUNGE-KUTTA STEP |
| | 1210 | 4 IF((X+H-XEND)*H)7,6,5 |
| | 1211 | 5 H=XEND-X |
| | 1212 | 6 IEND=1 |
| | 1213 | ! |
| | 1214 | ! RECORDING OF INITIAL VALUES OF THIS STEP |
| | 1215 | 7 CALL OUTP(X,Y,DERY,IREC,NDIM,PRMT) |
| | 1216 | IF(PRMT(5))40,8,40 |
| | 1217 | 8 ITEST=0 |
| | 1218 | 9 ISTEP=ISTEP+1 |
| | 1219 | ! START OF INNERMOST RUNGE-KUTTA LOOP |
| | 1220 | J=1 |
| | 1221 | 10 AJ=A(J) |
| | 1222 | BJ=B(J) |
| | 1223 | CJ=C(J) |
| | 1224 | DO 11 I=1,NDIM |
| | 1225 | R1=H*DERY(I) |
| | 1226 | R2=AJ*(R1-BJ*AUX(6,I)) |
| | 1227 | Y(I)=Y(I)+R2 |
| | 1228 | R2=R2+R2+R2 |
| | 1229 | 11 AUX(6,I)=AUX(6,I)+R2-CJ*R1 |
| | 1230 | IF(J-4)12,15,15 |
| | 1231 | 12 J=J+1 |
| | 1232 | IF(J-3)13,14,13 |
| | 1233 | 13 X=X+.5*H |
| | 1234 | 14 CALL FCT(X,Y,DERY) |
| | 1235 | GOTO 10 |
| | 1236 | ! END OF INNERMOST RUNGE-KUTTA LOOP |
| | 1237 | ! TEST OF ACCURACY |
| | 1238 | 15 IF(ITEST)16,16,20 |
| | 1239 | ! |
| | 1240 | ! IN CASE ITEST=0 THERE IS NO POSSIBILITY FOR TESTING OF ACCURACY |
| | 1241 | 16 DO 17 I=1,NDIM |
| | 1242 | 17 AUX(4,I)=Y(I) |
| | 1243 | ITEST=1 |
| | 1244 | ISTEP=ISTEP+ISTEP-2 |
| | 1245 | 18 IHLF=IHLF+1 |
| | 1246 | X=X-H |
| | 1247 | H=.5*H |
| | 1248 | DO 19 I=1,NDIM |
| | 1249 | Y(I)=AUX(1,I) |
| | 1250 | DERY(I)=AUX(2,I) |
| | 1251 | 19 AUX(6,I)=AUX(3,I) |
| | 1252 | GOTO 9 |
| | 1253 | ! |
| | 1254 | ! IN CASE ITEST=1 TESTING OF ACCURACY IS POSSIBLE |
| | 1255 | 20 IMOD=ISTEP/2 |
| | 1256 | IF(ISTEP-IMOD-IMOD)21,23,21 |
| | 1257 | 21 CALL FCT(X,Y,DERY) |
| | 1258 | DO 22 I=1,NDIM |
| | 1259 | AUX(5,I)=Y(I) |
| | 1260 | 22 AUX(7,I)=DERY(I) |
| | 1261 | GOTO 9 |
| | 1262 | ! |
| | 1263 | ! COMPUTATION OF TEST VALUE DELT |
| | 1264 | 23 DELT=0. |
| | 1265 | DO 24 I=1,NDIM |
| | 1266 | 24 DELT=DELT+AUX(8,I)*ABS(AUX(4,I)-Y(I)) |
| | 1267 | IF(DELT-PRMT(4))28,28,25 |
| | 1268 | ! |
| | 1269 | ! ERROR IS TOO GREAT |
| | 1270 | 25 IF(IHLF-10)26,36,36 |
| | 1271 | 26 DO 27 I=1,NDIM |
| | 1272 | 27 AUX(4,I)=AUX(5,I) |
| | 1273 | ISTEP=ISTEP+ISTEP-4 |
| | 1274 | X=X-H |
| | 1275 | IEND=0 |
| | 1276 | GOTO 18 |
| | 1277 | ! |
| | 1278 | ! RESULT VALUES ARE GOOD |
| | 1279 | 28 CALL FCT(X,Y,DERY) |
| | 1280 | DO 29 I=1,NDIM |
| | 1281 | AUX(1,I)=Y(I) |
| | 1282 | AUX(2,I)=DERY(I) |
| | 1283 | AUX(3,I)=AUX(6,I) |
| | 1284 | Y(I)=AUX(5,I) |
| | 1285 | 29 DERY(I)=AUX(7,I) |
| | 1286 | CALL OUTP(X-H,Y,DERY,IHLF,NDIM,PRMT) |
| | 1287 | IF(PRMT(5))40,30,40 |
| | 1288 | 30 DO 31 I=1,NDIM |
| | 1289 | Y(I)=AUX(1,I) |
| | 1290 | 31 DERY(I)=AUX(2,I) |
| | 1291 | IREC=IHLF |
| | 1292 | IF(IEND)32,32,39 |
| | 1293 | ! |
| | 1294 | ! INCREMENT GETS DOUBLED |
| | 1295 | 32 IHLF=IHLF-1 |
| | 1296 | ISTEP=ISTEP/2 |
| | 1297 | H=H+H |
| | 1298 | IF(IHLF)4,33,33 |
| | 1299 | 33 IMOD=ISTEP/2 |
| | 1300 | IF(ISTEP-IMOD-IMOD)4,34,4 |
| | 1301 | 34 IF(DELT-.02*PRMT(4))35,35,4 |
| | 1302 | 35 IHLF=IHLF-1 |
| | 1303 | ISTEP=ISTEP/2 |
| | 1304 | H=H+H |
| | 1305 | GOTO 4 |
| | 1306 | ! |
| | 1307 | ! RETURNS TO CALLING PROGRAM |
| | 1308 | 36 IHLF=11 |
| | 1309 | CALL FCT(X,Y,DERY) |
| | 1310 | GOTO 39 |
| | 1311 | 37 IHLF=12 |
| | 1312 | GOTO 39 |
| | 1313 | 38 IHLF=13 |
| | 1314 | 39 CALL OUTP(X,Y,DERY,IHLF,NDIM,PRMT) |
| | 1315 | 40 RETURN |
| | 1316 | END |
| | 1317 | |
| | 1318 | |
| | 1319 | }}} |
| | 1320 | |
| | 1321 | == Console26/Console26/Console26.f90 == |
| | 1322 | {{{ |
| | 1323 | #!fortran |
| | 1324 | |
| | 1325 | ! Lab #1 |
| | 1326 | ! metod Runge-Kuta. Rezonans i avtorezonans. |
| | 1327 | |
| | 1328 | external fct, out |
| | 1329 | real aux(8,4) |
| | 1330 | common /a/ dt, k, n, g0, om, B0, B, a, y, rl |
| | 1331 | |
| | 1332 | real :: pr(5)=(/0., 2*3.14159*200., 2*3.14159/50, .0001, .0/) |
| | 1333 | real :: u(4) = (/0., 0., 0., 0./) |
| | 1334 | real :: du(4) = (/0.25, 0.25, 0.25, 0.25/) |
| | 1335 | |
| | 1336 | integer :: nd = 4 |
| | 1337 | real :: dt = 2*3.14159265 |
| | 1338 | |
| | 1339 | real :: t, m0, B, B0, a |
| | 1340 | real :: f0 = 0.00 |
| | 1341 | f = 2.45e09 |
| | 1342 | pi = 3.14159265 |
| | 1343 | ez = 4.8e-10 |
| | 1344 | m0 = 9.1e-28 |
| | 1345 | c = 3.0e10 |
| | 1346 | om = 2*pi*f |
| | 1347 | E0 = 5. |
| | 1348 | E = E0 |
| | 1349 | a = 0.00034 |
| | 1350 | B0 = m0*c*om/ez |
| | 1351 | g0 = E0/B0 |
| | 1352 | B = B0 |
| | 1353 | b = B/B0 |
| | 1354 | rl = c/om |
| | 1355 | u(1) = 0. |
| | 1356 | u(2) = 0. |
| | 1357 | u(3) = 0. |
| | 1358 | u(4) = 0. |
| | 1359 | write (*,*) g0, B0, b, E, rl |
| | 1360 | pause |
| | 1361 | |
| | 1362 | |
| | 1363 | |
| | 1364 | n = 1 |
| | 1365 | k = 1 |
| | 1366 | |
| | 1367 | open (unit=2, file = 'rez_avtorez.dat', status='unknown') |
| | 1368 | |
| | 1369 | |
| | 1370 | call rkgs(pr, u, du, nd, ih, fct, out, aux) |
| | 1371 | |
| | 1372 | write(2,*) 'ih=' ,ih |
| | 1373 | |
| | 1374 | |
| | 1375 | |
| | 1376 | end |
| | 1377 | |
| | 1378 | subroutine fct (t, u, du) |
| | 1379 | |
| | 1380 | real u(4), du(4), lam |
| | 1381 | common /a/ dt, k, n, g0, om, B, B0, a, y, rl |
| | 1382 | y=sqrt(1+u(1)**2+u(2)**2) |
| | 1383 | du(1) = -g0*cos(t)- u(2)*(1+a*t)/y |
| | 1384 | du(2) = -g0*sin(t)+u(1)*(1+a*t)/y |
| | 1385 | du(3) = u(1)/y |
| | 1386 | du(4) = u(2)/y |
| | 1387 | |
| | 1388 | !write (*,*) du(1), du(2), du(3), du(4) |
| | 1389 | !pause |
| | 1390 | |
| | 1391 | return |
| | 1392 | end |
| | 1393 | |
| | 1394 | subroutine out (t, u, du, ih, nd, pr) |
| | 1395 | real u(4), du(4), pr(5), lam |
| | 1396 | common /a/ dt, k, n, g0, om, B, B0, a, y, rl |
| | 1397 | |
| | 1398 | if (t.ge.k*(dt)) then |
| | 1399 | |
| | 1400 | write (2,1) t,(y-1)*511. ,u(3)*rl,u(4)*rl |
| | 1401 | k = k + 1 |
| | 1402 | else |
| | 1403 | end if |
| | 1404 | |
| | 1405 | 1 format (5e12.3) |
| | 1406 | |
| | 1407 | return |
| | 1408 | end |
| | 1409 | |
| | 1410 | |
| | 1411 | SUBROUTINE RKGS(PRMT,Y,DERY,NDIM,IHLF,FCT,OUTP,AUX) |
| | 1412 | ! |
| | 1413 | ! |
| | 1414 | DIMENSION Y(4),DERY(4),AUX(8,4),A(4),B(4),C(4),PRMT(5) |
| | 1415 | DO 1 I=1,NDIM |
| | 1416 | 1 AUX(8,I)=.06666667*DERY(I) |
| | 1417 | X=PRMT(1) |
| | 1418 | XEND=PRMT(2) |
| | 1419 | H=PRMT(3) |
| | 1420 | PRMT(5)=0. |
| | 1421 | CALL FCT(X,Y,DERY) |
| | 1422 | ! |
| | 1423 | ! ERROR TEST |
| | 1424 | IF(H*(XEND-X))38,37,2 |
| | 1425 | ! |
| | 1426 | ! PREPARATIONS FOR RUNGE-KUTTA METHOD |
| | 1427 | 2 A(1)=.5 |
| | 1428 | A(2)=.2928932 |
| | 1429 | A(3)=1.707107 |
| | 1430 | A(4)=.1666667 |
| | 1431 | B(1)=2. |
| | 1432 | B(2)=1. |
| | 1433 | B(3)=1. |
| | 1434 | B(4)=2. |
| | 1435 | C(1)=.5 |
| | 1436 | C(2)=.2928932 |
| | 1437 | C(3)=1.707107 |
| | 1438 | C(4)=.5 |
| | 1439 | ! |
| | 1440 | ! PREPARATIONS OF FIRST RUNGE-KUTTA STEP |
| | 1441 | DO 3 I=1,NDIM |
| | 1442 | AUX(1,I)=Y(I) |
| | 1443 | AUX(2,I)=DERY(I) |
| | 1444 | AUX(3,I)=0. |
| | 1445 | 3 AUX(6,I)=0. |
| | 1446 | IREC=0 |
| | 1447 | H=H+H |
| | 1448 | IHLF=-1 |
| | 1449 | ISTEP=0 |
| | 1450 | IEND=0 |
| | 1451 | ! |
| | 1452 | ! |
| | 1453 | ! START OF A RUNGE-KUTTA STEP |
| | 1454 | 4 IF((X+H-XEND)*H)7,6,5 |
| | 1455 | 5 H=XEND-X |
| | 1456 | 6 IEND=1 |
| | 1457 | ! |
| | 1458 | ! RECORDING OF INITIAL VALUES OF THIS STEP |
| | 1459 | 7 CALL OUTP(X,Y,DERY,IREC,NDIM,PRMT) |
| | 1460 | IF(PRMT(5))40,8,40 |
| | 1461 | 8 ITEST=0 |
| | 1462 | 9 ISTEP=ISTEP+1 |
| | 1463 | ! START OF INNERMOST RUNGE-KUTTA LOOP |
| | 1464 | J=1 |
| | 1465 | 10 AJ=A(J) |
| | 1466 | BJ=B(J) |
| | 1467 | CJ=C(J) |
| | 1468 | DO 11 I=1,NDIM |
| | 1469 | R1=H*DERY(I) |
| | 1470 | R2=AJ*(R1-BJ*AUX(6,I)) |
| | 1471 | Y(I)=Y(I)+R2 |
| | 1472 | R2=R2+R2+R2 |
| | 1473 | 11 AUX(6,I)=AUX(6,I)+R2-CJ*R1 |
| | 1474 | IF(J-4)12,15,15 |
| | 1475 | 12 J=J+1 |
| | 1476 | IF(J-3)13,14,13 |
| | 1477 | 13 X=X+.5*H |
| | 1478 | 14 CALL FCT(X,Y,DERY) |
| | 1479 | GOTO 10 |
| | 1480 | ! END OF INNERMOST RUNGE-KUTTA LOOP |
| | 1481 | ! TEST OF ACCURACY |
| | 1482 | 15 IF(ITEST)16,16,20 |
| | 1483 | ! |
| | 1484 | ! IN CASE ITEST=0 THERE IS NO POSSIBILITY FOR TESTING OF ACCURACY |
| | 1485 | 16 DO 17 I=1,NDIM |
| | 1486 | 17 AUX(4,I)=Y(I) |
| | 1487 | ITEST=1 |
| | 1488 | ISTEP=ISTEP+ISTEP-2 |
| | 1489 | 18 IHLF=IHLF+1 |
| | 1490 | X=X-H |
| | 1491 | H=.5*H |
| | 1492 | DO 19 I=1,NDIM |
| | 1493 | Y(I)=AUX(1,I) |
| | 1494 | DERY(I)=AUX(2,I) |
| | 1495 | 19 AUX(6,I)=AUX(3,I) |
| | 1496 | GOTO 9 |
| | 1497 | ! |
| | 1498 | ! IN CASE ITEST=1 TESTING OF ACCURACY IS POSSIBLE |
| | 1499 | 20 IMOD=ISTEP/2 |
| | 1500 | IF(ISTEP-IMOD-IMOD)21,23,21 |
| | 1501 | 21 CALL FCT(X,Y,DERY) |
| | 1502 | DO 22 I=1,NDIM |
| | 1503 | AUX(5,I)=Y(I) |
| | 1504 | 22 AUX(7,I)=DERY(I) |
| | 1505 | GOTO 9 |
| | 1506 | ! |
| | 1507 | ! COMPUTATION OF TEST VALUE DELT |
| | 1508 | 23 DELT=0. |
| | 1509 | DO 24 I=1,NDIM |
| | 1510 | 24 DELT=DELT+AUX(8,I)*ABS(AUX(4,I)-Y(I)) |
| | 1511 | IF(DELT-PRMT(4))28,28,25 |
| | 1512 | ! |
| | 1513 | ! ERROR IS TOO GREAT |
| | 1514 | 25 IF(IHLF-10)26,36,36 |
| | 1515 | 26 DO 27 I=1,NDIM |
| | 1516 | 27 AUX(4,I)=AUX(5,I) |
| | 1517 | ISTEP=ISTEP+ISTEP-4 |
| | 1518 | X=X-H |
| | 1519 | IEND=0 |
| | 1520 | GOTO 18 |
| | 1521 | ! |
| | 1522 | ! RESULT VALUES ARE GOOD |
| | 1523 | 28 CALL FCT(X,Y,DERY) |
| | 1524 | DO 29 I=1,NDIM |
| | 1525 | AUX(1,I)=Y(I) |
| | 1526 | AUX(2,I)=DERY(I) |
| | 1527 | AUX(3,I)=AUX(6,I) |
| | 1528 | Y(I)=AUX(5,I) |
| | 1529 | 29 DERY(I)=AUX(7,I) |
| | 1530 | CALL OUTP(X-H,Y,DERY,IHLF,NDIM,PRMT) |
| | 1531 | IF(PRMT(5))40,30,40 |
| | 1532 | 30 DO 31 I=1,NDIM |
| | 1533 | Y(I)=AUX(1,I) |
| | 1534 | 31 DERY(I)=AUX(2,I) |
| | 1535 | IREC=IHLF |
| | 1536 | IF(IEND)32,32,39 |
| | 1537 | ! |
| | 1538 | ! INCREMENT GETS DOUBLED |
| | 1539 | 32 IHLF=IHLF-1 |
| | 1540 | ISTEP=ISTEP/2 |
| | 1541 | H=H+H |
| | 1542 | IF(IHLF)4,33,33 |
| | 1543 | 33 IMOD=ISTEP/2 |
| | 1544 | IF(ISTEP-IMOD-IMOD)4,34,4 |
| | 1545 | 34 IF(DELT-.02*PRMT(4))35,35,4 |
| | 1546 | 35 IHLF=IHLF-1 |
| | 1547 | ISTEP=ISTEP/2 |
| | 1548 | H=H+H |
| | 1549 | GOTO 4 |
| | 1550 | ! |
| | 1551 | ! RETURNS TO CALLING PROGRAM |
| | 1552 | 36 IHLF=11 |
| | 1553 | CALL FCT(X,Y,DERY) |
| | 1554 | GOTO 39 |
| | 1555 | 38 IHLF=13 |
| | 1556 | 39 CALL OUTP(X,Y,DERY,IHLF,NDIM,PRMT) |
| | 1557 | 40 RETURN |
| | 1558 | END |
| | 1559 | }}} |
| | 1560 | |