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Nils Berglund 2022-06-25 15:49:37 +02:00 committed by GitHub
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19 changed files with 2111 additions and 576 deletions
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9
global_3d.c
View File

@ -27,6 +27,9 @@
/* Choice of potential */
#define POT_HARMONIC 1 /* harmonic oscillator */
#define POT_COULOMB 2 /* Coulomb (1/r) potential */
#define POT_PERIODIC 3 /* periodic potential */
#define POT_DOUBLE_COULOMB 4 /* sum of Coulomb potentials located at focal points of ellipse */
/* plot types used by rde */
@ -39,10 +42,12 @@
#define Z_ANGLE_GRADIENTX 231 /* direction of gradient of u */
#define Z_NORM_GRADIENT_INTENSITY 24 /* gradient and intensity of polar angle */
#define Z_VORTICITY 25 /* curl of polar angle */
#define Z_VORTICITY_ABS 251 /* absolute value of curl of polar angle */
/* for Schrodinger equation */
#define Z_MODULE 30 /* module squared of first two fields */
#define Z_ARGUMENT 31 /* argument of first two fields, with luminosity depending on module */
#define Z_REALPART 32 /* first field, with luminosity depending on module */
/* for RPSLZ equation */
#define Z_MAXTYPE_RPSLZ 40 /* color of type with maximal density */
@ -51,8 +56,8 @@
/* macros to avoid unnecessary computations in 3D plots */
#define COMPUTE_THETA ((cplot == Z_POLAR)||(cplot == Z_NORM_GRADIENT)||(cplot == Z_ANGLE_GRADIENT)||(cplot == Z_NORM_GRADIENT_INTENSITY)||(cplot == Z_VORTICITY))
#define COMPUTE_THETAZ ((zplot == Z_POLAR)||(zplot == Z_NORM_GRADIENT)||(zplot == Z_ANGLE_GRADIENT)||(zplot == Z_NORM_GRADIENT_INTENSITY)||(zplot == Z_VORTICITY))
#define COMPUTE_THETA ((cplot == Z_POLAR)||(cplot == Z_NORM_GRADIENT)||(cplot == Z_ANGLE_GRADIENT)||(cplot == Z_NORM_GRADIENT_INTENSITY)||(cplot == Z_VORTICITY)||(cplot == Z_VORTICITY_ABS))
#define COMPUTE_THETAZ ((zplot == Z_POLAR)||(zplot == Z_NORM_GRADIENT)||(zplot == Z_ANGLE_GRADIENT)||(zplot == Z_NORM_GRADIENT_INTENSITY)||(zplot == Z_VORTICITY)||(zplot == Z_VORTICITY_ABS))
#define COMPUTE_ENERGY ((zplot == P_3D_ENERGY)||(cplot == P_3D_ENERGY)||(zplot == P_3D_LOG_ENERGY)||(cplot == P_3D_LOG_ENERGY)||(zplot == P_3D_TOTAL_ENERGY)||(cplot == P_3D_TOTAL_ENERGY)||(zplot == P_3D_LOG_TOTAL_ENERGY)||(cplot == P_3D_LOG_TOTAL_ENERGY)||(zplot == P_3D_MEAN_ENERGY)||(cplot == P_3D_MEAN_ENERGY)||(zplot == P_3D_LOG_MEAN_ENERGY)||(cplot == P_3D_LOG_MEAN_ENERGY))

10
global_ljones.c
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@ -52,6 +52,9 @@
#define S_POOL_TABLE 6 /* pool table with pockets */
#define S_CENTRIFUGE_RND 7 /* segments forming centrifuge with more rounded bins */
#define S_CENTRIFUGE_LEAKY 8 /* segments forming centrifuge with rounded bins and holes */
#define S_CIRCLE_EXT 9 /* segments forming a repelling cicle */
#define S_ROCKET_NOZZLE 10 /* segments forming a rocket bell-shpaed nozzle */
#define S_TWO_CIRCLES_EXT 11 /* segments forming two repelling cicle */
/* particle interaction */
@ -86,6 +89,12 @@
#define TH_VERTICAL 0 /* only particles at the right of x = PARTIAL_THERMO_SHIFT are coupled */
#define TH_INSEGMENT 1 /* only particles in region defined by segments are coupled */
#define TH_INBOX 2 /* only particles in a given box are coupled */
/* Gravity schedules */
#define G_INCREASE_RELEASE 1 /* slow increase and instant release */
#define G_INCREASE_DECREASE 2 /* slow increase an decrease */
/* Plot types */
@ -196,6 +205,7 @@ typedef struct
double length; /* length of segment */
short int concave; /* corner is concave, to add extra repelling force */
short int cycle; /* set to 1 if (x2, y2) is equal to (x1, y1) of next segment */
short int group; /* group to which segment belongs (for several obstacles) */
double angle1, angle2; /* angles in which concave corners repel */
short int active; /* segment is active */
double x01, x02, y01, y02; /* initial values of extremities, in case of rotation/translation */

1
global_particles.c
View File

@ -77,6 +77,7 @@ double x_shooter = -0.2, y_shooter = -0.6, x_target = 0.4, y_target = 0.7;
#define P_POLYGON 5 /* regular polygon, alternative for D_POLYGON */
#define P_TOKA_PRIME 6 /* Tokarsky room made of 86 triangles */
#define P_TREE 7 /* pine tree */
#define P_TOKA_NONSELF 8 /* Tokarsky non-self-unilluminable room */
/* Color palettes */

8
global_pdes.c
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@ -53,9 +53,12 @@
#define D_STAR 42 /* star shape */
#define D_FRESNEL 43 /* Fresnel lens */
#define D_NOISEPANEL 44 /* zigzag noise insulating panel */
#define D_NOISEPANEL_RECT 441 /* comparison between zigzag noise insulating panel and flat walls */
#define D_DOUBLE_FRESNEL 45 /* two facing Fresnel lenses */
#define D_QRD 46 /* quadratic resonance diffuser */
#define D_QRD_ASYM 461 /* asymmetric quadratic resonance diffuser */
#define D_CIRCLE_SEGMENT 47 /* lens-shaped circular segment */
#define D_GROOVE 48 /* groove array supposed to induce polaritons */
#define NMAXCIRCLES 10000 /* total number of circles/polygons (must be at least NCX*NCY for square grid) */
#define NMAXPOLY 50000 /* maximal number of vertices of polygonal lines (for von Koch et al) */
@ -96,7 +99,8 @@
#define D_VONKOCH_HEATED 27 /* von Koch snowflake in larger circle */
/* Variable index of refraction */
#define IOR_MANDELBROT 1 /* index of refraction depends on escape time in Mandelbrot set */
#define IOR_MANDELBROT 1 /* index of refraction depends on escape time in Mandelbrot set (log) */
#define IOR_MANDELBROT_LIN 100 /* index of refraction depends on escape time in Mandelbrot set (linear) */
/* Boundary conditions */
@ -154,6 +158,8 @@
#define COL_TURBO_CYCLIC 101 /* TURBO color palette (by Anton Mikhailov) corrected to be cyclic, beta */
#define NPWIDTH 0.02 /* width of noise panel separation */
typedef struct
{

6
heat.c
View File

@ -35,7 +35,7 @@
#include <tiffio.h> /* Sam Leffler's libtiff library. */
#include <omp.h>
#define MOVIE 0 /* set to 1 to generate movie */
#define MOVIE 1 /* set to 1 to generate movie */
/* General geometrical parameters */
@ -671,7 +671,7 @@ void animation()
glutSwapBuffers();
draw_wave(phi, xy_in, 1.0, 0);
if (DRAW_BILLIARD) draw_billiard();
if (DRAW_BILLIARD) draw_billiard(0, 1.0);
// print_Julia_parameters(i);
// print_level(MDEPTH);
@ -698,7 +698,7 @@ void animation()
for (j=0; j<NVID; j++) evolve_wave(phi, phi_tmp, xy_in);
if (DRAW_BILLIARD) draw_billiard();
if (DRAW_BILLIARD) draw_billiard(0, 1.0);
// print_level(MDEPTH);
// print_Julia_parameters(i);

317
lennardjones.c
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@ -39,11 +39,10 @@
#define MOVIE 0 /* set to 1 to generate movie */
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */
#define TIME_LAPSE 1 /* set to 1 to add a time-lapse movie at the end */
/* so far incompatible with double movie */
#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */
/* General geometrical parameters */
#define WINWIDTH 1280 /* window width */
@ -54,15 +53,15 @@
#define YMIN -1.125
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
#define INITXMIN -0.7
#define INITXMAX 0.7 /* x interval for initial condition */
#define INITYMIN -0.5
#define INITYMAX 0.5 /* y interval for initial condition */
#define INITXMIN -1.95
#define INITXMAX 1.95 /* x interval for initial condition */
#define INITYMIN -1.05
#define INITYMAX 1.05 /* y interval for initial condition */
#define BCXMIN -2.0
#define BCXMAX 5.0 /* x interval for boundary condition */
#define BCYMIN -1.6
#define BCYMAX 1.6 /* y interval for boundary condition */
#define BCXMAX 2.0 /* x interval for boundary condition */
#define BCYMIN -1.125
#define BCYMAX 1.125 /* y interval for boundary condition */
#define OBSXMIN -2.0
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
@ -70,10 +69,10 @@
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
#define OBSTACLE_PATTERN 2 /* pattern of obstacles, see list in global_ljones.c */
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
#define SEGMENT_PATTERN 5 /* pattern of repelling segments, see list in global_ljones.c */
#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */
#define SEGMENT_PATTERN 9 /* pattern of repelling segments, see list in global_ljones.c */
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
#define TPYE_PROPORTION 0.7 /* proportion of particles of first type */
@ -89,14 +88,14 @@
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
#define PDISC_DISTANCE 3.33 /* minimal distance in Poisson disc process, controls density of particles */
#define PDISC_DISTANCE 4.0 /* minimal distance in Poisson disc process, controls density of particles */
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
#define LAMBDA 0.7 /* parameter controlling the dimensions of domain */
#define LAMBDA 0.2 /* parameter controlling the dimensions of domain */
#define MU 0.012 /* parameter controlling radius of particles */
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
#define NPOLY 18 /* number of sides of polygon */
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
#define NPOLY 20 /* number of sides of polygon */
#define APOLY 0.666666666 /* angle by which to turn polygon, in units of Pi/2 */
#define MDEPTH 4 /* depth of computation of Menger gasket */
#define MRATIO 3 /* ratio defining Menger gasket */
@ -107,6 +106,7 @@
#define NGRIDY 24 /* number of grid point for grid of disks */
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
#define X_SHOOTER -0.2
#define Y_SHOOTER -0.6
@ -115,10 +115,11 @@
/* Parameters for length and speed of simulation */
#define NSTEPS 2000 /* number of frames of movie */
#define NVID 500 /* number of iterations between images displayed on screen */
#define NSEG 250 /* number of segments of boundary */
#define INITIAL_TIME 50 /* time after which to start saving frames */
#define NSTEPS 3000 /* number of frames of movie */
#define NVID 80 /* number of iterations between images displayed on screen */
#define NSEG 150 /* number of segments of boundary */
#define INITIAL_TIME 100 /* time after which to start saving frames */
#define OBSTACLE_INITIAL_TIME 50 /* time after which to start moving obstacle */
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
#define LINK_WIDTH 2 /* width of links between particles */
#define CONTAINER_WIDTH 4 /* width of container boundary */
@ -132,14 +133,16 @@
/* Boundary conditions, see list in global_ljones.c */
#define BOUNDARY_COND 3
#define BOUNDARY_COND 0
/* Plot type, see list in global_ljones.c */
#define PLOT 0
#define PLOT_B 8 /* plot type for second movie */
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
/* Color schemes */
@ -162,48 +165,49 @@
/* particle properties */
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
#define PARTICLE_HUE_MIN 359.0 /* color of original particle */
#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */
#define PARTICLE_EMAX 2.0e2 /* energy of particle with hottest color */
#define HUE_TYPE0 45.0 /* hue of particles of type 0 */
#define HUE_TYPE1 300.0 /* hue of particles of type 1 */
#define HUE_TYPE2 300.0 /* hue of particles of type 2 */
#define HUE_TYPE3 300.0 /* hue of particles of type 3 */
#define PARTICLE_EMAX 1.0e3 /* energy of particle with hottest color */
#define HUE_TYPE0 280.0 /* hue of particles of type 0 */
#define HUE_TYPE1 70.0 /* hue of particles of type 1 */
#define HUE_TYPE2 180.0 /* hue of particles of type 2 */
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
#define KREPEL 12.0 /* constant in repelling force between particles */
#define EQUILIBRIUM_DIST 4.5 /* Lennard-Jones equilibrium distance */
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
#define DAMPING 1.0e-1 /* damping coefficient of particles */
#define PARTICLE_MASS 4.0 /* mass of particle of radius MU */
#define DAMPING 25.0 /* damping coefficient of particles */
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
#define V_INITIAL 10.0 /* initial velocity range */
#define V_INITIAL 0.0 /* initial velocity range */
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
#define SIGMA 5.0 /* noise intensity in thermostat */
#define BETA 0.02 /* initial inverse temperature */
#define BETA 0.1 /* initial inverse temperature */
#define MU_XI 0.01 /* friction constant in thermostat */
#define KSPRING_BOUNDARY 1.0e11 /* confining harmonic potential outside simulation region */
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
#define NBH_DIST_FACTOR 4.0 /* radius in which to count neighbours */
#define GRAVITY 0.0 /* gravity acting on all particles */
#define NBH_DIST_FACTOR 6.0 /* radius in which to count neighbours */
#define GRAVITY 1000.0 /* gravity acting on all particles */
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
#define GRAVITY_INITIAL_TIME 500 /* time at start of simulation with constant gravity */
#define GRAVITY_RESTORE_TIME 1000 /* time at end of simulation with gravity restored to initial value */
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
#define GRAVITY_FACTOR 50.0 /* factor by which to increase gravity */
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
#define ROTATION 0 /* set to 1 to include rotation of particles */
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
#define KTORQUE 50.0 /* force constant in angular dynamics */
#define KTORQUE 100.0 /* force constant in angular dynamics */
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
@ -214,10 +218,10 @@
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
#define BETA_FACTOR 0.025 /* factor by which to change BETA during simulation */
#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
#define FINAL_CONSTANT_PHASE 1000 /* final phase in which temperature is constant */
#define FINAL_CONSTANT_PHASE 0 /* final phase in which temperature is constant */
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
@ -238,9 +242,11 @@
#define N_P_AVERAGE 100 /* size of pressure averaging window */
#define N_T_AVERAGE 50 /* size of temperature averaging window */
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only particles to the right of obstacle to thermostat */
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
#define PARTIAL_THERMO_SHIFT 0.5 /* distance from obstacle at the right of which particles are coupled to thermostat */
#define PARTIAL_THERMO_COUPLING 1 /* set to 1 to couple only particles to the right of obstacle to thermostat */
#define PARTIAL_THERMO_REGION 2 /* region for partial thermostat coupling (see list in global_ljones.c) */
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
@ -250,8 +256,8 @@
#define NPART_BOTTOM 100 /* number of particles at the bottom */
#define ADD_PARTICLES 0 /* set to 1 to add particles */
#define ADD_TIME 500 /* time at which to add first particle */
#define ADD_PERIOD 250 /* time interval between adding further particles */
#define ADD_TIME 0 /* time at which to add first particle */
#define ADD_PERIOD 10000 /* time interval between adding further particles */
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
@ -263,16 +269,21 @@
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
#define PERIOD_ROTATE_BOUNDARY 2500 /* period of rotating boundary */
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
#define ROTATE_FINAL_TIME 500 /* final time without rotation */
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
#define OMEGAMAX 100.0 /* maximal rotation speed */
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */
#define MOVE_BOUNDARY 1 /* set to 1 to move repelling segments, due to force from particles */
#define SEGMENTS_MASS 100.0 /* mass of collection of segments */
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
#define SEGMENTS_MASS 5.0 /* mass of collection of segments */
#define DEACTIVATE_SEGMENT 0 /* set to 1 to deactivate last segment after a certain time */
#define SEGMENT_DEACTIVATION_TIME 1000 /* time at which to deactivate last segment */
#define SEGMENTS_X0 0.0 /* initial position of segments */
#define SEGMENTS_Y0 -0.75 /* initial position of segments */
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be vertical */
@ -280,7 +291,7 @@
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
#define REACTION_PROB 0.03 /* probability controlling reaction term */
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
#define PRINT_LEFT 1 /* set to 1 to print certain parameters at the top left instead of right */
@ -297,11 +308,11 @@
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
#define FMAX 1.0e12 /* maximal force */
#define FLOOR_OMEGA 1 /* set to 1 to limit particle momentum to PMAX */
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
#define PMAX 1000.0 /* maximal force */
#define HASHX 100 /* size of hashgrid in x direction */
#define HASHY 40 /* size of hashgrid in y direction */
#define HASHX 60 /* size of hashgrid in x direction */
#define HASHY 30 /* size of hashgrid in y direction */
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
@ -312,6 +323,7 @@
#define NO_WRAP_BC ((BOUNDARY_COND != BC_PERIODIC)&&(BOUNDARY_COND != BC_PERIODIC_CIRCLE)&&(BOUNDARY_COND != BC_PERIODIC_TRIANGLE)&&(BOUNDARY_COND != BC_KLEIN)&&(BOUNDARY_COND != BC_PERIODIC_FUNNEL)&&(BOUNDARY_COND != BC_BOY)&&(BOUNDARY_COND != BC_GENUS_TWO))
#define PERIODIC_BC ((BOUNDARY_COND == BC_PERIODIC)||(BOUNDARY_COND == BC_PERIODIC_CIRCLE)||(BOUNDARY_COND == BC_PERIODIC_FUNNEL)||(BOUNDARY_COND == BC_PERIODIC_TRIANGLE))
#define TWO_OBSTACLES (SEGMENT_PATTERN == S_TWO_CIRCLES_EXT)
double xshift = 0.0; /* x shift of shown window */
double xspeed = 0.0; /* x speed of obstacle */
@ -320,10 +332,10 @@ double vylid = 0.0; /* y speed coordinate of lid (for BC_RECTANGLE_LID b.c
double xwall = 0.0; /* x coordinate of wall (for BC_RECTANGLE_WALL b.c.) */
double vxwall = 0.0; /* x speed of wall (for BC_RECTANGLE_WALL b.c.) */
double angular_speed = 0.0; /* angular speed of rotating segments */
double xsegments = 0.0; /* x coordinate of segments (for option MOVE_BOUNDARY) */
double ysegments = 0.0; /* y coordinate of segments (for option MOVE_BOUNDARY) */
double vxsegments = 0.0; /* vx coordinate of segments (for option MOVE_BOUNDARY) */
double vysegments = 0.0; /* vy coordinate of segments (for option MOVE_BOUNDARY) */
double xsegments[2] = {SEGMENTS_X0, -SEGMENTS_X0}; /* x coordinate of segments (for option MOVE_BOUNDARY) */
double ysegments[2] = {SEGMENTS_Y0, SEGMENTS_Y0}; /* y coordinate of segments (for option MOVE_BOUNDARY) */
double vxsegments[2] = {0.0, 0.0}; /* vx coordinate of segments (for option MOVE_BOUNDARY) */
double vysegments[2] = {0.0, 0.0}; /* vy coordinate of segments (for option MOVE_BOUNDARY) */
int thermostat_on = 1; /* thermostat switch used when VARY_THERMOSTAT is on */
#define THERMOSTAT_ON ((THERMOSTAT)&&((!VARY_THERMOSTAT)||(thermostat_on)))
@ -440,31 +452,68 @@ double obstacle_schedule_smooth(int i, int j)
double gravity_schedule(int i, int j)
{
double time, gravity;
double time, gravity, x, y;
if ((i < INITIAL_TIME + GRAVITY_INITIAL_TIME)||(i > NSTEPS + INITIAL_TIME - GRAVITY_RESTORE_TIME)) return(GRAVITY);
else
{
time = ((double)(i - INITIAL_TIME - GRAVITY_INITIAL_TIME)
+ (double)j/(double)NVID)/(double)(NSTEPS - GRAVITY_RESTORE_TIME - GRAVITY_INITIAL_TIME);
gravity = GRAVITY*(1.0 + time*(GRAVITY_FACTOR - 1.0));
// printf("i = %i, time = %.3lg, Gravity = %.3lg\n", i, time, gravity);
return(gravity);
switch (GRAVITY_SCHEDULE){
case (G_INCREASE_RELEASE):
{
if ((i < INITIAL_TIME + GRAVITY_INITIAL_TIME)||(i > NSTEPS + INITIAL_TIME - GRAVITY_RESTORE_TIME)) return(GRAVITY);
else
{
time = ((double)(i - INITIAL_TIME - GRAVITY_INITIAL_TIME)
+ (double)j/(double)NVID)/(double)(NSTEPS - GRAVITY_RESTORE_TIME - GRAVITY_INITIAL_TIME);
gravity = GRAVITY*(1.0 + time*(GRAVITY_FACTOR - 1.0));
return(gravity);
}
break;
}
case (G_INCREASE_DECREASE):
{
if ((i < INITIAL_TIME + GRAVITY_INITIAL_TIME)||(i > NSTEPS + INITIAL_TIME - GRAVITY_RESTORE_TIME)) return(GRAVITY);
else
{
time = ((double)(i - INITIAL_TIME - GRAVITY_INITIAL_TIME)
+ (double)j/(double)NVID)/(double)(NSTEPS - GRAVITY_RESTORE_TIME - GRAVITY_INITIAL_TIME);
x = 2.0 - cos(DPI*time);
y = 0.5*((GRAVITY_FACTOR - 1.0)*x + 3.0 - GRAVITY_FACTOR);
gravity = GRAVITY*y;
return(gravity);
}
break;
}
}
}
double rotation_angle(double phase)
{
double omegamax = 15.0;
/* case of rotating hourglass */
while (phase > DPI) phase -= DPI;
return(phase - 0.5*sin(2.0*phase));
// while (phase > DPI) phase -= DPI;
// return(phase - 0.5*sin(2.0*phase));
/* case of centrifuge */
// while (phase > DPI) phase -= DPI;
// angular_speed = 0.5*omegamax*(1.0 - cos(phase));
// return(0.5*omegamax*(phase - sin(phase)));
// while (phase > 1.0) phase -= 1.0;
// phase *= DPI;
// angular_speed = 0.5*OMEGAMAX*(1.0 - cos(phase));
// return(0.5*OMEGAMAX*(phase - sin(phase)));
/* case of centrifuge remaining at constant speed for a while */
if (phase < ROTATE_CHANGE_TIME)
{
// angular_speed = 0.5*OMEGAMAX*(1.0 - cos(phase*PI/ROTATE_CHANGE_TIME));
return(0.5*OMEGAMAX*(phase - (ROTATE_CHANGE_TIME/PI)*sin(phase*PI/ROTATE_CHANGE_TIME)));
}
else if (phase < 1.0 - ROTATE_CHANGE_TIME)
{
// angular_speed = OMEGAMAX;
return(0.5*OMEGAMAX*(2.0*phase - ROTATE_CHANGE_TIME));
}
else
{
// angular_speed = 0.5*OMEGAMAX*(1.0 + cos((phase - 1.0 + ROTATE_CHANGE_TIME)*PI/ROTATE_CHANGE_TIME));
return(0.5*OMEGAMAX*(2.0 - 2.0*ROTATE_CHANGE_TIME + phase - 1.0 + (ROTATE_CHANGE_TIME/PI)*sin((1.0-phase)*PI/ROTATE_CHANGE_TIME)));
}
}
double rotation_schedule(int i)
@ -487,7 +536,7 @@ double rotation_schedule(int i)
double rotation_schedule_smooth(int i, int j)
{
double phase;
double phase, angle, phase1, angle1;
static int imin = INITIAL_TIME + ROTATE_INITIAL_TIME, imax = INITIAL_TIME + NSTEPS - ROTATE_FINAL_TIME;
if (i < imin)
@ -497,9 +546,22 @@ double rotation_schedule_smooth(int i, int j)
}
else
{
if (i > imax) i = imax;
phase = (DPI/(double)PERIOD_ROTATE_BOUNDARY)*((double)(i - imin) + (double)j/(double)NVID);
return(rotation_angle(phase));
if (i > imax)
{
angle = rotation_angle(1.0);
angular_speed = 0.0;
}
else
{
phase = (1.0/(double)(imax - imin))*((double)(i - imin) + (double)j/(double)NVID);
angle = rotation_angle(phase);
phase1 = (1.0/(double)(imax - imin))*((double)(i + 1 - imin) + (double)j/(double)NVID);
angle1 = rotation_angle(phase1);
angular_speed = 25.0*(angle1 - angle);
}
return(angle);
}
}
@ -660,37 +722,68 @@ void evolve_wall(double fboundary)
void evolve_segments(t_segment segment[NMAXSEGMENTS])
{
int i, nactive = 0;
double fx = 0.0, fy = 0.0;
int i, nactive = 0, group;
double fx[2] = {0.0, 0.0}, fy[2] = {0.0, 0.0}, x, y, padding = 3.0*MU, mass2 = SEGMENTS_MASS*TWO_CIRCLES_RADIUS_RATIO;
for (group=0; group<2; group++)
{
fx[group] = 0.0;
fy[group] = 0.0;
}
for (i=0; i<nsegments; i++) if (segment[i].active)
{
fx += segment[i].fx;
fy += segment[i].fy;
group = segment[i].group;
fx[group] += segment[i].fx;
fy[group] += segment[i].fy;
nactive++;
if (BOUNDARY_COND == BC_SCREEN) /* add force from simulation boundary */
{
x = 0.5*(segment[i].x1 + segment[i].x2);
y = 0.5*(segment[i].y1 + segment[i].y2);
if (x < XMIN + padding) fx[group] += KSPRING_BOUNDARY*(XMIN + padding - x);
else if (x > XMAX - padding) fx[group] -= KSPRING_BOUNDARY*(x - XMAX + padding);
if (y < YMIN + padding) fy[group] += KSPRING_BOUNDARY*(YMIN + padding - y);
else if (y > YMAX - padding) fy[group] -= KSPRING_BOUNDARY*(y - YMAX + padding);
}
if (group == 0) fy[group] -= GRAVITY*SEGMENTS_MASS;
else fy[group] -= GRAVITY*mass2;
}
if (nactive > 0)
if (nactive > 0) for (group=0; group<2; group++)
{
fx = fx/(double)nactive;
fy = fy/(double)nactive;
fx[group] = fx[group]/(double)nactive;
fy[group] = fy[group]/(double)nactive;
}
if (FLOOR_FORCE)
if (FLOOR_FORCE)
{
if (fx > FMAX) fx = FMAX;
else if (fx < -FMAX) fx = -FMAX;
if (fy > FMAX) fy = FMAX;
else if (fy < -FMAX) fy = -FMAX;
if (fx[0] > FMAX) fx[0] = FMAX;
else if (fx[0] < -FMAX) fx[0] = -FMAX;
if (fy[0] > FMAX) fy[0] = FMAX;
else if (fy[0] < -FMAX) fy[0] = -FMAX;
}
vxsegments[0] += fx[0]*DT_PARTICLE/SEGMENTS_MASS;
vysegments[0] += fy[0]*DT_PARTICLE/SEGMENTS_MASS;
xsegments[0] += vxsegments[0]*DT_PARTICLE;
ysegments[0] += vysegments[0]*DT_PARTICLE;
if (TWO_OBSTACLES)
{
if (FLOOR_FORCE)
{
if (fx[1] > FMAX) fx[1] = FMAX;
else if (fx[1] < -FMAX) fx[1] = -FMAX;
if (fy[1] > FMAX) fy[1] = FMAX;
else if (fy[1] < -FMAX) fy[1] = -FMAX;
}
vxsegments[1] += fx[1]*DT_PARTICLE/mass2;
vysegments[1] += fy[1]*DT_PARTICLE/mass2;
xsegments[1] += vxsegments[1]*DT_PARTICLE;
ysegments[1] += vysegments[1]*DT_PARTICLE;
}
vxsegments += fx*DT_PARTICLE/(SEGMENTS_MASS);
vysegments += fy*DT_PARTICLE/(SEGMENTS_MASS);
xsegments += vxsegments*DT_PARTICLE;
ysegments += vysegments*DT_PARTICLE;
/* to avoid numerical instabilities */
if (xsegments + 1.0 > BCXMAX)
for (group=0; group<2; group++) if (xsegments[group] + 1.0 > BCXMAX)
{
xsegments = BCXMAX - 1.0;
vxsegments = 0.0;
xsegments[group] = BCXMAX - 1.0;
vxsegments[group] = 0.0;
}
translate_segments(segment, xsegments, ysegments);
@ -783,7 +876,7 @@ void animation()
thermostat_on = thermostat_schedule(i);
printf("Termostat: %i\n", thermostat_on);
}
if ((DEACTIVATE_SEGMENT)&&(i > INITIAL_TIME + SEGMENT_DEACTIVATION_TIME))
if ((ADD_FIXED_SEGMENTS)&&(DEACTIVATE_SEGMENT)&&(i > INITIAL_TIME + SEGMENT_DEACTIVATION_TIME))
segment[nsegments-1].active = 0;
blank();
@ -793,6 +886,7 @@ void animation()
pright = 0.0;
if (RECORD_PRESSURES) for (j=0; j<N_PRESSURES; j++) pressure[j] = 0.0;
// printf("evolving particles\n");
for(n=0; n<NVID; n++)
{
if (MOVE_OBSTACLE)
@ -853,10 +947,13 @@ void animation()
if (i < INITIAL_TIME + WALL_TIME) evolve_wall(fboundary);
else xwall = 0.0;
}
if (MOVE_BOUNDARY) evolve_segments(segment);
if ((MOVE_BOUNDARY)&&(i > OBSTACLE_INITIAL_TIME)) evolve_segments(segment);
} /* end of for (n=0; n<NVID; n++) */
// printf("evolved particles\n");
if (MOVE_BOUNDARY) printf("segments position (%.3lg, %.3lg), speed (%.3lg, %.3lg)\n", xsegments, ysegments, vxsegments, vysegments);
if (MOVE_BOUNDARY)
printf("segments position (%.3lg, %.3lg), speed (%.3lg, %.3lg)\n", xsegments[0], ysegments[0], vxsegments[0], vysegments[0]);
// if ((PARTIAL_THERMO_COUPLING))
if ((PARTIAL_THERMO_COUPLING)&&(i>N_T_AVERAGE))
@ -918,11 +1015,11 @@ void animation()
// printf("Max number of neighbours: %i\n", max_nb);
if (TRACER_PARTICLE) draw_trajectory(trajectory, traj_position, traj_length);
draw_particles(particle, PLOT);
draw_particles(particle, PLOT, beta);
draw_container(xmincontainer, xmaxcontainer, obstacle, segment, wall);
/* add a particle */
if ((ADD_PARTICLES)&&(i > ADD_TIME)&&((i - INITIAL_TIME - ADD_TIME + 1)%ADD_PERIOD == 0)&&(i < NSTEPS - FINAL_NOADD_PERIOD))
if ((ADD_PARTICLES)&&(i > ADD_TIME)&&((i - INITIAL_TIME - ADD_TIME)%ADD_PERIOD == 1)&&(i < NSTEPS - FINAL_NOADD_PERIOD))
nadd_particle = add_particles(particle, px, py, nadd_particle);
/* case of reaction-diffusion equation */
@ -945,7 +1042,8 @@ void animation()
if (PRINT_OMEGA) print_omega(angular_speed);
else if (PRINT_PARTICLE_SPEEDS) print_particles_speeds(particle);
else if (PRINT_SEGMENTS_SPEEDS) print_segments_speeds(vxsegments, vysegments);
glutSwapBuffers();
@ -965,7 +1063,7 @@ void animation()
if ((i >= INITIAL_TIME)&&(DOUBLE_MOVIE))
{
if (TRACER_PARTICLE) draw_trajectory(trajectory, traj_position, traj_length);
draw_particles(particle, PLOT_B);
draw_particles(particle, PLOT_B, beta);
draw_container(xmincontainer, xmaxcontainer, obstacle, segment, wall);
print_parameters(beta, mean_energy, krepel, xmaxcontainer - xmincontainer,
fboundary/(double)(ncircles*NVID), PRINT_LEFT, pressure, gravity);
@ -973,6 +1071,7 @@ void animation()
else if (PRINT_PARTICLE_NUMBER) print_particle_number(ncircles);
if (PRINT_OMEGA) print_omega(angular_speed);
else if (PRINT_PARTICLE_SPEEDS) print_particles_speeds(particle);
else if (PRINT_SEGMENTS_SPEEDS) print_segments_speeds(vxsegments, vysegments);
glutSwapBuffers();
save_frame_lj_counter(NSTEPS + MID_FRAMES + 1 + counter);
counter++;
@ -995,7 +1094,7 @@ void animation()
if (DOUBLE_MOVIE)
{
if (TRACER_PARTICLE) draw_trajectory(trajectory, traj_position, traj_length);
draw_particles(particle, PLOT);
draw_particles(particle, PLOT, beta);
draw_container(xmincontainer, xmaxcontainer, obstacle, segment, wall);
print_parameters(beta, mean_energy, krepel, xmaxcontainer - xmincontainer,
fboundary/(double)(ncircles*NVID), PRINT_LEFT, pressure, gravity);
@ -1003,13 +1102,14 @@ void animation()
else if (PRINT_PARTICLE_NUMBER) print_particle_number(ncircles);
if (PRINT_OMEGA) print_omega(angular_speed);
else if (PRINT_PARTICLE_SPEEDS) print_particles_speeds(particle);
else if (PRINT_SEGMENTS_SPEEDS) print_segments_speeds(vxsegments, vysegments);
glutSwapBuffers();
}
for (i=0; i<MID_FRAMES; i++) save_frame_lj();
if (DOUBLE_MOVIE)
{
if (TRACER_PARTICLE) draw_trajectory(trajectory, traj_position, traj_length);
draw_particles(particle, PLOT_B);
draw_particles(particle, PLOT_B, beta);
draw_container(xmincontainer, xmaxcontainer, obstacle, segment, wall);
print_parameters(beta, mean_energy, krepel, xmaxcontainer - xmincontainer,
fboundary/(double)(ncircles*NVID), PRINT_LEFT, pressure, gravity);
@ -1017,6 +1117,7 @@ void animation()
else if (PRINT_PARTICLE_NUMBER) print_particle_number(ncircles);
if (PRINT_OMEGA) print_omega(angular_speed);
else if (PRINT_PARTICLE_SPEEDS) print_particles_speeds(particle);
else if (PRINT_SEGMENTS_SPEEDS) print_segments_speeds(vxsegments, vysegments);
glutSwapBuffers();
}
for (i=0; i<END_FRAMES; i++) save_frame_lj_counter(NSTEPS + MID_FRAMES + 1 + counter + i);

4
mangrove.c
View File

@ -949,7 +949,7 @@ void animation()
blank();
glColor3f(0.0, 0.0, 0.0);
draw_wave(phi, psi, xy_in, 1.0, 0, PLOT);
draw_billiard();
draw_billiard(0, 1.0);
glutSwapBuffers();
@ -1220,7 +1220,7 @@ void animation()
printf("Drawing billiard\n");
draw_billiard();
draw_billiard(0, 1.0);
glutSwapBuffers();

92
particle_billiard.c
View File

@ -29,14 +29,15 @@
#include <unistd.h>
#include <sys/types.h>
#include <tiffio.h> /* Sam Leffler's libtiff library. */
#include <time.h>
#define MOVIE 0 /* set to 1 to generate movie */
#define WINWIDTH 1280 /* window width */
#define WINWIDTH 720 /* window width */
#define WINHEIGHT 720 /* window height */
#define XMIN -2.0
#define XMAX 2.0 /* x interval */
#define XMIN -1.125
#define XMAX 1.125 /* x interval */
#define YMIN -1.125
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
@ -47,22 +48,20 @@
#define B_DOMAIN 30 /* choice of domain shape */
#define CIRCLE_PATTERN 1 /* pattern of circles */
#define POLYLINE_PATTERN 6 /* pattern of polyline */
#define POLYLINE_PATTERN 8 /* pattern of polyline */
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
#define NMAXPOLY 100000 /* total number of sides of polygonal line */
// #define NCX 10 /* number of circles in x direction */
// #define NCY 10 /* number of circles in y direction */
#define NCX 30 /* number of circles in x direction */
#define NCY 20 /* number of circles in y direction */
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
#define SDEPTH 1 /* Sierpinski gastket depth */
#define LAMBDA 0.8 /* parameter controlling shape of domain */
#define MU 0.015 /* second parameter controlling shape of billiard */
#define LAMBDA 1.5 /* parameter controlling shape of domain */
#define MU 0.01 /* second parameter controlling shape of billiard */
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
#define NPOLY 6 /* number of sides of polygon */
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
@ -80,16 +79,17 @@
#define LMAX 0.01 /* minimal segment length triggering resampling */
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
#define SHOWZOOM 1 /* set to 1 to show zoom on specific area */
#define PRINT_PARTICLE_NUMBER 1 /* set to 1 to print number of particles */
#define PRINT_COLLISION_NUMBER 0 /* set to 1 to print number of collisions */
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
#define NSTEPS 5000 /* number of frames of movie */
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
#define DPHI 0.00001 /* integration step */
#define NVID 150 /* number of iterations between images displayed on screen */
#define NSTEPS 1000 /* number of frames of movie */
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
#define DPHI 0.00001 /* integration step */
#define NVID 100 /* number of iterations between images displayed on screen */
#define END_FRAMES 25 /* number of still frames at the end of the movie */
/* Decreasing TIME accelerates the animation and the movie */
/* For constant speed of movie, TIME*DPHI should be kept constant */
@ -99,14 +99,14 @@
/* Colors and other graphical parameters */
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
#define COLOR_PALETTE 17 /* Color palette, see list in global_pdes.c */
#define NCOLORS 32 /* number of colors */
#define NCOLORS 64 /* number of colors */
#define COLORSHIFT 0 /* hue of initial color */
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
#define NSEG 100 /* number of segments of boundary */
#define LENGTH 0.05 /* length of velocity vectors */
#define LENGTH 0.03 /* length of velocity vectors */
#define BILLIARD_WIDTH 2 /* width of billiard */
#define PARTICLE_WIDTH 3 /* width of particles */
#define FRONT_WIDTH 3 /* width of wave front */
@ -120,7 +120,7 @@
#define PAUSE 200 /* number of frames after which to pause */
#define PSLEEP 2 /* sleep time during pause */
#define SLEEP1 1 /* initial sleeping time */
#define SLEEP2 1000 /* final sleeping time */
#define SLEEP2 1 /* final sleeping time */
#include "global_particles.c"
@ -437,10 +437,18 @@ void draw_config_showtrails(int color[NPARTMAX], double *configs[NPARTMAX], int
}
if (DRAW_BILLIARD) draw_billiard();
if (SHOWZOOM)
{
draw_zoom(color, configs, active, x_target, y_target, 0.1, 1.65, 0.75, 0.3, 0);
draw_zoom(color, configs, active, x_shooter, y_shooter, 0.1, -1.65, 0.75, 0.3, 1);
if (SHOWZOOM) switch (POLYLINE_PATTERN) {
case (P_TOKA_PRIME):
{
draw_zoom(color, configs, active, x_target, y_target, 0.1, 1.65, 0.75, 0.3, 0);
draw_zoom(color, configs, active, x_shooter, y_shooter, 0.1, -1.65, 0.75, 0.3, 1);
break;
}
case (P_TOKA_NONSELF):
{
draw_zoom(color, configs, active, 0.0, 0.0, 0.1, 1.65, 0.75, 0.3, 0);
break;
}
}
// if (SHOWZOOM) draw_zoom(color, configs, active, 0.95, 0.0, 0.1);
}
@ -547,10 +555,18 @@ void draw_config(int color[NPARTMAX], double *configs[NPARTMAX], int active[NPAR
}
if (DRAW_BILLIARD) draw_billiard();
if (SHOWZOOM)
{
draw_zoom(color, configs, active, x_target, y_target, 0.1, 1.65, 0.75, 0.3, 0);
draw_zoom(color, configs, active, x_shooter, y_shooter, 0.1, -1.65, 0.75, 0.3, 1);
if (SHOWZOOM) switch (POLYLINE_PATTERN) {
case (P_TOKA_PRIME):
{
draw_zoom(color, configs, active, x_target, y_target, 0.1, 1.65, 0.75, 0.3, 0);
draw_zoom(color, configs, active, x_shooter, y_shooter, 0.1, -1.65, 0.75, 0.3, 1);
break;
}
case (P_TOKA_NONSELF):
{
draw_zoom(color, configs, active, 0.0, 0.0, 0.1, 0.82, 0.82, 0.25, 0);
break;
}
}
// if (SHOWZOOM) draw_zoom(color, configs, active, 0.95, 0.0, 0.1);
}
@ -668,7 +684,7 @@ void animation()
// init_drop_config(-1.0 + 0.3*sqrt(2.0), -1.0 + 0.5*sqrt(2.0), 0.0, DPI, configs);
init_line_config(0.0, 0.3, 0.0, 0.9, 0.0, configs);
// init_line_config(0.0, 0.0, 0.0, 0.9, 0.0, configs);
// init_drop_config(-0.95, 0.0, -0.103 + DPI/15.0, -0.1 + DPI/15.0, configs);
/* find long trajectory */
@ -697,7 +713,9 @@ void animation()
// init_drop_config(x_shooter, y_shooter, alphamax, alphamax + DPI, configs);
// init_drop_config(-0.95, 0.0, 1.0, 1.0 + DPI, configs);
// init_drop_config(-0.5, 0.0, 0.2, 0.4, configs);
init_drop_config(0.0, 0.0, 0.0, DPI, configs);
// init_drop_config(-1.3, -0.1, 0.0, DPI, configs);
// init_drop_config(1.4, 0.1, 0.0, DPI, configs);
// init_drop_config(0.5, 0.5, -1.0, 1.0, configs);
@ -759,8 +777,8 @@ void animation()
/* initialize drops in different colors */
// init_partial_drop_config(0.0, 0.0, 0.0, DPI, 0, 2*NPART/5, 0, configs, color, newcolor);
// init_partial_drop_config(0.0, 0.8, 0.0, DPI, 2*NPART/5, 4*NPART/5, 10, configs, color, newcolor);
// init_partial_drop_config(1.2, 0.1, 0.0, DPI, 4*NPART/5, NPART, 36, configs, color, newcolor);
// init_partial_drop_config(0.0, 0.8, 0.0, DPI, 2*NPART/5, 4*NPART/5, 30, configs, color, newcolor);
// init_partial_drop_config(LAMBDA - 0.05, 0.1, 0.0, DPI, 4*NPART/5, NPART, 60, configs, color, newcolor);
for (i=0; i<=NSTEPS; i++)
{
@ -798,7 +816,7 @@ void animation()
if (MOVIE)
{
for (i=0; i<20; i++) save_frame();
for (i=0; i<END_FRAMES; i++) save_frame();
s = system("mv part*.tif tif_part/");
}
@ -811,6 +829,12 @@ void animation()
void display(void)
{
time_t rawtime;
struct tm * timeinfo;
time(&rawtime);
timeinfo = localtime(&rawtime);
glPushMatrix();
blank();
@ -827,6 +851,13 @@ void display(void)
sleep(SLEEP2);
glPopMatrix();
glutDestroyWindow(glutGetWindow());
printf("Start local time and date: %s", asctime(timeinfo));
time(&rawtime);
timeinfo = localtime(&rawtime);
printf("Current local time and date: %s", asctime(timeinfo));
}
@ -848,4 +879,3 @@ int main(int argc, char** argv)
return 0;
}

315
rde.c
View File

@ -44,37 +44,34 @@
/* General geometrical parameters */
// #define WINWIDTH 1920 /* window width */
// #define WINHEIGHT 1000 /* window height */
// #define NX 480 /* number of grid points on x axis */
// #define NY 250 /* number of grid points on y axis */
// // #define NX 1920 /* number of grid points on x axis */
// // #define NY 1000 /* number of grid points on y axis */
//
// #define XMIN -2.0
// #define XMAX 2.0 /* x interval */
// #define YMIN -1.041666667
// #define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
#define WINWIDTH 1280 /* window width */
#define WINHEIGHT 720 /* window height */
// #define NX 160 /* number of grid points on x axis */
// #define NY 90 /* number of grid points on y axis */
#define NX 320 /* number of grid points on x axis */
#define NY 180 /* number of grid points on y axis */
// #define NX 640 /* number of grid points on x axis */
// #define NY 360 /* number of grid points on y axis */
// #define NX 1280 /* number of grid points on x axis */
// #define NX 720 /* number of grid points on x axis */
// #define NY 720 /* number of grid points on y axis */
#define WINWIDTH 1920 /* window width */
#define WINHEIGHT 1000 /* window height */
#define NX 480 /* number of grid points on x axis */
#define NY 240 /* number of grid points on y axis */
#define XMIN -2.0
#define XMAX 2.0 /* x interval */
#define YMIN -1.125
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
#define YMIN -1.041666667
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
// #define WINWIDTH 1280 /* window width */
// #define WINHEIGHT 720 /* window height */
//
// // #define NX 160 /* number of grid points on x axis */
// // #define NY 90 /* number of grid points on y axis */
// #define NX 320 /* number of grid points on x axis */
// #define NY 180 /* number of grid points on y axis */
//
// // #define NX 640 /* number of grid points on x axis */
// // #define NY 360 /* number of grid points on y axis */
//
// // #define NX 1280 /* number of grid points on x axis */
// // #define NY 720 /* number of grid points on y axis */
//
// #define XMIN -2.0
// #define XMAX 2.0 /* x interval */
// #define YMIN -1.125
// #define YMAX 1.125 /* y interval for 9/16 aspect ratio */
/* Choice of simulated equation */
@ -82,14 +79,14 @@
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
#define NLAPLACIANS 2 /* number of fields for which to compute Laplacian */
#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodiner equation) */
#define POTENTIAL 1 /* type of potential, see list in global_3d.c */
#define ADD_POTENTIAL 1 /* set to 1 to add a potential (for Schrodiner equation) */
#define POTENTIAL 2 /* type of potential, see list in global_3d.c */
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
/* Choice of the billiard table */
#define B_DOMAIN 9 /* choice of domain shape, see list in global_pdes.c */
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
@ -97,11 +94,11 @@
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
#define LAMBDA 0.4 /* parameter controlling the dimensions of domain */
#define MU 0.06 /* parameter controlling the dimensions of domain */
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
#define MU 1.0 /* parameter controlling the dimensions of domain */
#define NPOLY 6 /* number of sides of polygon */
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
#define MDEPTH 5 /* depth of computation of Menger gasket */
#define APOLY 0.333333333 /* angle by which to turn polygon, in units of Pi/2 */
#define MDEPTH 7 /* depth of computation of Menger gasket */
#define MRATIO 5 /* ratio defining Menger gasket */
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
@ -125,38 +122,44 @@
/* Physical patameters of wave equation */
#define DT 0.00000001
#define DT 0.00000002
#define VISCOSITY 0.1
#define VISCOSITY 2.0
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
#define EPSILON 0.8 /* time scale separation */
#define DELTA 0.1 /* time scale separation */
#define FHNA 1.0 /* parameter in FHN equation */
#define FHNC -0.01 /* parameter in FHN equation */
#define K_HARMONIC 1.5 /* spring constant of harmonic potential */
#define BZQ 0.0008 /* parameter in BZ equation */
#define BZF 1.2 /* parameter in BZ equation */
#define FHNA 1.0 /* parameter in FHN equation */
#define FHNC -0.01 /* parameter in FHN equation */
#define K_HARMONIC 0.2 /* spring constant of harmonic potential */
#define K_COULOMB 0.5 /* constant in Coulomb potential */
#define BZQ 0.0008 /* parameter in BZ equation */
#define BZF 1.2 /* parameter in BZ equation */
#define T_OUT 2.0 /* outside temperature */
#define T_IN 0.0 /* inside temperature */
#define SPEED 0.0 /* speed of drift to the right */
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
#define NOISE_INTENSITY 0.1 /* noise intensity */
#define NOISE_INTENSITY 0.005 /* noise intensity */
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
#define ADJUST_INTSTEP 1 /* set to 1 to decrease integration step when viscosity increases */
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
for numerical stability */
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
/* Boundary conditions, see list in global_pdes.c */
@ -164,13 +167,13 @@
/* Parameters for length and speed of simulation */
#define NSTEPS 1500 /* number of frames of movie */
#define NVID 900 /* number of iterations between images displayed on screen */
#define NSTEPS 1150 /* number of frames of movie */
#define NVID 850 /* number of iterations between images displayed on screen */
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
#define MAX_DT 0.024 /* maximal value of integration step */
#define NSEG 100 /* number of segments of boundary */
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
#define BOUNDARY_WIDTH 4 /* width of billiard boundary */
#define PAUSE 100 /* number of frames after which to pause */
#define PSLEEP 2 /* sleep time during pause */
@ -178,11 +181,16 @@
#define SLEEP2 1 /* final sleeping time */
#define INITIAL_TIME 0 /* initial still time */
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
#define END_FRAMES 100 /* number of still frames at end of movie */
#define END_FRAMES 50 /* number of still frames at end of movie */
#define FADE 1 /* set to 1 to fade at end of movie */
/* Visualisation */
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
/* Plot type - color scheme */
#define CPLOT 30
@ -190,7 +198,9 @@
/* Plot type - height of 3D plot */
#define ZPLOT 30 /* z coordinate in 3D plot */
// #define ZPLOT 30 /* z coordinate in 3D plot */
// #define ZPLOT_B 32 /* z coordinate in second 3D plot */
#define ZPLOT 30 /* z coordinate in 3D plot */
#define ZPLOT_B 30 /* z coordinate in second 3D plot */
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
@ -198,13 +208,17 @@
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
#define DRAW_OUTSIDE_GRAY 1 /* experimental - draw outside of billiard in gray */
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
#define ADD_POT_CONSTANT 0.5 /* constant in front of added potential */
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
#define PRINT_TIME 0 /* set to 1 to print running time */
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
#define PRINT_TIME 0 /* set to 1 to print running time */
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
#define FIELD_LINE_WIDTH 1 /* width of field lines */
@ -223,22 +237,23 @@
/* Color schemes, see list in global_pdes.c */
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
#define COLOR_PALETTE_B 17 /* Color palette, see list in global_pdes.c */
#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
#define COLOR_PALETTE_B 10 /* Color palette, see list in global_pdes.c */
#define BLACK 1 /* black background */
#define COLOR_SCHEME 3 /* choice of color scheme */
#define COLOR_PHASE_SHIFT 1.0 /* phase shift of color scheme, in units of Pi */
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
#define VSCALE_AMPLITUDE 20.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
#define VSCALE_AMPLITUDE 7.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
#define SLOPE_SCHROD_LUM 50.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
#define SLOPE_SCHROD_LUM 15.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
#define MIN_SCHROD_LUM 0.075 /* minimal luminosity in color scheme Z_ARGUMENT*/
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
@ -250,9 +265,9 @@
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
#define LOG_SHIFT 0.0
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
#define COLORBAR_RANGE 0.55 /* scale of color scheme bar */
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
/* only for compatibility with wave_common.c */
@ -273,20 +288,23 @@ double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_
double v_3d[2] = {-0.75, -0.45};
double w_3d[2] = {0.0, 0.015};
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
double observer[3] = {8.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
#define YSHIFT_3D 0.05 /* overall y shift for REP_PROJ_3D representation */
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
#define YSHIFT_3D 0.2 /* overall y shift for REP_PROJ_3D representation */
/* For debugging purposes only */
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
#define VMAX 10.0 /* max value of wave amplitude */
#define VMAX 2.0 /* max value of wave amplitude */
#define REFRESH_B (ZPLOT_B != ZPLOT)||(CPLOT_B != CPLOT) /* to save computing time, to be improved */
#define COMPUTE_WRAP_ANGLE ((WRAP_ANGLE)&&((cplot == Z_ANGLE_GRADIENT)||(cplot == Z_ANGLE_GRADIENTX)||(cplot == Z_ARGUMENT)||(cplot == Z_ANGLE_GRADIENTX)))
#define PRINT_PARAMETERS ((PRINT_TIME)||(PRINT_VISCOSITY)||(PRINT_RPSLZB)||(PRINT_PROBABILITIES)||(PRINT_NOISE))
#include "global_pdes.c"
#include "sub_wave.c"
@ -301,7 +319,7 @@ double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D
double potential(int i, int j)
/* compute potential (e.g. for Schrödinger equation) */
{
double x, y, xy[2];
double x, y, xy[2], r, small = 2.0e-1, kx, ky;
ij_to_xy(i, j, xy);
x = xy[0];
@ -312,6 +330,19 @@ double potential(int i, int j)
{
return (K_HARMONIC*(x*x + y*y));
}
case (POT_COULOMB):
{
// r = module2(x, y);
r = sqrt(x*x + y*y + small*small);
// if (r < small) r = small;
return (-K_COULOMB/r);
}
case (POT_PERIODIC):
{
kx = 4.0*DPI/(XMAX - XMIN);
ky = 2.0*DPI/(YMAX - YMIN);
return(-K_HARMONIC*cos(kx*x)*cos(ky*y));
}
default:
{
return(0.0);
@ -321,7 +352,7 @@ double potential(int i, int j)
void initialize_potential(double potential_field[NX*NY])
/* initialize the potential field, e.f. for the Schrödinger equation */
/* initialize the potential field, e.g. for the Schrödinger equation */
{
int i, j;
@ -455,10 +486,10 @@ void print_level(int level)
void print_parameters(double time, short int left, double viscosity)
void print_parameters(t_rde rde[NX*NY], short int xy_in[NX*NY], double time, short int left, double viscosity, double noise)
{
char message[100];
double density, hue, rgb[3], logratio, y, pos[2];
double density, hue, rgb[3], logratio, x, y, pos[2], probas[2];
static double xbox, xtext, boxwidth, boxheight;
static int first = 1;
@ -498,17 +529,40 @@ void print_parameters(double time, short int left, double viscosity)
first = 0;
}
y = YMAX - 0.1;
erase_area_hsl(xbox, y + 0.02, boxwidth, boxheight, 0.0, 0.9, 0.0);
glColor3f(1.0, 1.0, 1.0);
if (PRINT_TIME) sprintf(message, "Time %.3f", time);
else if (PRINT_VISCOSITY) sprintf(message, "Viscosity %.3f", viscosity);
else if (PRINT_RPSLZB) sprintf(message, "b = %.3f", rpslzb);
if (PLOT_3D) write_text(xtext, y, message);
if (PRINT_PROBABILITIES)
{
compute_probabilities(rde, xy_in, probas);
printf("pleft = %.3lg, pright = %.3lg\n", probas[0], probas[1]);
x = XMIN + 0.15*(XMAX - XMIN);
y = YMIN + 0.3*(YMAX - YMIN);
erase_area_hsl(x, y, boxwidth, boxheight, 0.0, 0.9, 0.0);
glColor3f(1.0, 1.0, 1.0);
sprintf(message, "Proba %.3f", probas[0]);
write_text(x, y, message);
x = XMIN + 0.72*(XMAX - XMIN);
y = YMIN + 0.68*(YMAX - YMIN);
erase_area_hsl(x, y, boxwidth, boxheight, 0.0, 0.9, 0.0);
glColor3f(1.0, 1.0, 1.0);
sprintf(message, "Proba %.3f", probas[1]);
write_text(x, y, message);
}
else
{
xy_to_pos(xtext, y, pos);
write_text(pos[0], pos[1], message);
y = YMAX - 0.1;
erase_area_hsl(xbox, y + 0.02, boxwidth, boxheight, 0.0, 0.9, 0.0);
glColor3f(1.0, 1.0, 1.0);
if (PRINT_TIME) sprintf(message, "Time %.3f", time);
else if (PRINT_VISCOSITY) sprintf(message, "Viscosity %.3f", viscosity);
else if (PRINT_RPSLZB) sprintf(message, "b = %.3f", rpslzb);
else if (PRINT_NOISE) sprintf(message, "noise %.3f", noise);
if (PLOT_3D) write_text(xtext, y, message);
else
{
xy_to_pos(xtext, y, pos);
write_text(pos[0], pos[1], message);
}
}
}
@ -523,6 +577,18 @@ void draw_color_bar_palette(int plot, double range, int palette, int fade, doubl
draw_color_scheme_palette_3d(XMAX - 1.5*width, YMIN + 0.1, XMAX - 0.5*width, YMAX - 0.1, plot, -range, range, palette, fade, fade_value);
}
double noise_schedule(int i)
{
double ratio;
if (i < NOISE_INITIAL_TIME) return (NOISE_INTENSITY);
else
{
ratio = (double)(i - NOISE_INITIAL_TIME)/(double)(NSTEPS - NOISE_INITIAL_TIME);
return (NOISE_INTENSITY*(1.0 + ratio*(NOISE_FACTOR - 1.0)));
}
}
double viscosity_schedule(int i)
{
@ -550,10 +616,33 @@ double rpslzb_schedule(int i)
}
void viewpoint_schedule(int i)
/* change position of observer */
{
int j;
double angle, ca, sa;
static double observer_initial[3];
static int first = 1;
if (first)
{
for (j=0; j<3; j++) observer_initial[j] = observer[j];
first = 0;
}
angle = (ROTATE_ANGLE*DPI/360.0)*(double)i/(double)NSTEPS;
ca = cos(angle);
sa = sin(angle);
observer[0] = ca*observer_initial[0] - sa*observer_initial[1];
observer[1] = sa*observer_initial[0] + ca*observer_initial[1];
printf("Angle %.3lg, Observer position (%.3lg, %.3lg, %.3lg)\n", angle, observer[0], observer[1], observer[2]);
}
void animation()
{
double time = 0.0, scale, dx, var, jangle, cosj, sinj, sqrintstep, intstep0, viscosity_printed, fade_value;
double time = 0.0, scale, dx, var, jangle, cosj, sinj, sqrintstep,
intstep0, viscosity_printed, fade_value, noise = NOISE_INTENSITY;
double *phi[NFIELDS], *phi_tmp[NFIELDS], *potential_field;
short int *xy_in;
int i, j, k, s, nvid, field;
@ -570,7 +659,11 @@ void animation()
xy_in = (short int *)malloc(NX*NY*sizeof(short int));
rde = (t_rde *)malloc(NX*NY*sizeof(t_rde));
if (ADD_POTENTIAL) potential_field = (double *)malloc(NX*NY*sizeof(double));
if (ADD_POTENTIAL)
{
potential_field = (double *)malloc(NX*NY*sizeof(double));
initialize_potential(potential_field);
}
npolyline = init_polyline(MDEPTH, polyline);
for (i=0; i<npolyline; i++) printf("vertex %i: (%.3f, %.3f)\n", i, polyline[i].x, polyline[i].y);
@ -591,7 +684,7 @@ void animation()
// init_random(0.5, 0.4, phi, xy_in);
// init_random(0.0, 0.4, phi, xy_in);
// init_gaussian(x, y, mean, amplitude, scalex, phi, xy_in)
init_coherent_state(-0.75, 0.0, 5.0, -7.0, 0.2, phi, xy_in);
init_coherent_state(-0.7, 0.0, 3.5, 0.0, 0.15, phi, xy_in);
init_cfield_rde(phi, xy_in, CPLOT, rde, 0);
if (PLOT_3D) init_zfield_rde(phi, xy_in, ZPLOT, rde, 0);
@ -609,9 +702,9 @@ void animation()
glutSwapBuffers();
printf("Drawing wave\n");
draw_wave_rde(0, phi, xy_in, rde, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
draw_wave_rde(0, phi, xy_in, rde, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
// draw_billiard();
if ((PRINT_TIME)||(PRINT_VISCOSITY)||(PRINT_RPSLZB)) print_parameters(time, 0, VISCOSITY);
if (PRINT_PARAMETERS) print_parameters(rde, xy_in, time, 0, VISCOSITY, noise);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, 0, 1.0);
glutSwapBuffers();
@ -638,8 +731,14 @@ void animation()
}
if (CHANGE_RPSLZB) rpslzb = rpslzb_schedule(i);
if (ROTATE_VIEW)
{
viewpoint_schedule(i - INITIAL_TIME);
reset_view = 1;
}
printf("Drawing wave %i\n", i);
draw_wave_rde(0, phi, xy_in, rde, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
draw_wave_rde(0, phi, xy_in, rde, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
// nvid = (int)((double)NVID*(1.0 + (ACCELERATION_FACTOR - 1.0)*(double)i/(double)NSTEPS));
/* increase integration step */
@ -660,22 +759,36 @@ void animation()
if (ADD_NOISE == 1)
{
for (field=0; field<=NFIELDS; field++)
// #pragma omp parallel for private(field,j,k)
for (field=0; field<NFIELDS; field++)
for (j=0; j<NX; j++)
for (k=0; k<NY; k++)
phi[field][j*NY+k] += sqrintstep*NOISE_INTENSITY*gaussian();
}
else if (ADD_NOISE == 2)
{
for (field=0; field<=NFIELDS; field++)
for (j=NX/2; j<NX; j++)
for (k=0; k<NY; k++)
phi[field][j*NY+k] += sqrintstep*NOISE_INTENSITY*gaussian();
if (CHANGE_NOISE)
{
noise = noise_schedule(i);
// #pragma omp parallel for private(field,j,k)
for (field=0; field<NFIELDS; field++)
for (j=NX/2; j<NX; j++)
for (k=0; k<NY; k++)
phi[field][j*NY+k] += sqrintstep*noise*gaussian();
}
else
{
// #pragma omp parallel for private(field,j,k)
for (field=0; field<NFIELDS; field++)
for (j=NX/2; j<NX; j++)
for (k=0; k<NY; k++)
phi[field][j*NY+k] += sqrintstep*NOISE_INTENSITY*gaussian();
}
}
time += nvid*intstep;
// draw_billiard();
if ((PRINT_TIME)||(PRINT_VISCOSITY)||(PRINT_RPSLZB)) print_parameters(time, 0, viscosity_printed);
if (PRINT_PARAMETERS) print_parameters(rde, xy_in, time, 0, viscosity_printed, noise);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, 0, 1.0);
// print_level(MDEPTH);
@ -693,9 +806,9 @@ void animation()
if ((i >= INITIAL_TIME)&&(DOUBLE_MOVIE))
{
draw_wave_rde(1, phi, xy_in, rde, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 0, 1.0, REFRESH_B);
draw_wave_rde(1, phi, xy_in, rde, potential_field, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 0, 1.0, REFRESH_B);
// draw_billiard();
if ((PRINT_TIME)||(PRINT_VISCOSITY)||(PRINT_RPSLZB)) print_parameters(time, 0, viscosity_printed);
if (PRINT_PARAMETERS) print_parameters(rde, xy_in, time, 0, viscosity_printed, noise);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, 0, 1.0);
glutSwapBuffers();
save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter);
@ -719,9 +832,9 @@ void animation()
{
if (DOUBLE_MOVIE)
{
draw_wave_rde(0, phi, xy_in, rde, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
draw_wave_rde(0, phi, xy_in, rde, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
// draw_billiard();
if ((PRINT_TIME)||(PRINT_VISCOSITY)||(PRINT_RPSLZB)) print_parameters(time, 0, viscosity_printed);
if (PRINT_PARAMETERS) print_parameters(rde, xy_in, time, 0, viscosity_printed, noise);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, 0, 1.0);
glutSwapBuffers();
@ -729,14 +842,14 @@ void animation()
else for (i=0; i<MID_FRAMES; i++)
{
fade_value = 1.0 - (double)i/(double)MID_FRAMES;
draw_wave_rde(0, phi, xy_in, rde, ZPLOT, CPLOT, COLOR_PALETTE, 1, fade_value, 0);
draw_wave_rde(0, phi, xy_in, rde, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 1, fade_value, 0);
// draw_billiard();
if ((PRINT_TIME)||(PRINT_VISCOSITY)||(PRINT_RPSLZB)) print_parameters(time, 0, viscosity_printed);
if (PRINT_PARAMETERS) print_parameters(rde, xy_in, time, 0, viscosity_printed, noise);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, 1, fade_value);
glutSwapBuffers();
save_frame_counter(NSTEPS + i + 1);
}
draw_wave_rde(1, phi, xy_in, rde, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 0, 1.0, REFRESH_B);
draw_wave_rde(1, phi, xy_in, rde, potential_field, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 0, 1.0, REFRESH_B);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, 0, 1.0);
glutSwapBuffers();
@ -744,7 +857,7 @@ void animation()
else for (i=0; i<END_FRAMES; i++)
{
fade_value = 1.0 - (double)i/(double)END_FRAMES;
draw_wave_rde(1, phi, xy_in, rde, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 1, fade_value, 0);
draw_wave_rde(1, phi, xy_in, rde, potential_field, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 1, fade_value, 0);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, 1, fade_value);
glutSwapBuffers();
save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter + i);
@ -756,7 +869,7 @@ void animation()
else for (i=0; i<END_FRAMES; i++)
{
fade_value = 1.0 - (double)i/(double)END_FRAMES;
draw_wave_rde(0, phi, xy_in, rde, ZPLOT, CPLOT, COLOR_PALETTE, 1, fade_value, 0);
draw_wave_rde(0, phi, xy_in, rde, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 1, fade_value, 0);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, 1, fade_value);
glutSwapBuffers();
save_frame_counter(NSTEPS + 1 + counter + i);

2
schrodinger.c
View File

@ -638,7 +638,7 @@ void animation()
for (j=0; j<NVID; j++) evolve_wave(phi, psi, phi_tmp, psi_tmp, xy_in);
draw_billiard();
draw_billiard(0, 1.0);
if (DRAW_COLOR_SCHEME) draw_color_bar(PLOT, COLORBAR_RANGE);

662
sub_lj.c
View File

@ -8,6 +8,7 @@
// #define HUE_TYPE0 300.0 /* hue of particles of type 0 */
// #define HUE_TYPE1 90.0 /* hue of particles of type 1 */
int writetiff(char *filename, char *description, int x, int y, int width, int height, int compression)
{
TIFF *file;
@ -782,6 +783,18 @@ void init_particle_config(t_particle particles[NMAXCIRCLES])
}
break;
}
case (C_POOL_TABLE):
{
for (i=1; i<6; i++) for (j=0; j<i; j++)
{
particles[ncircles].xc = INITXMIN + (double)i*0.25*(INITXMAX - INITXMIN);
particles[ncircles].yc = 0.5*(INITYMIN + INITYMAX) + ((double)j - 0.5*(double)(i-1))*0.25*(INITYMAX - INITYMIN);
particles[ncircles].radius = MU;
particles[ncircles].active = 1;
ncircles += 1;
}
break;
}
case (C_ONE):
{
particles[ncircles].xc = 0.0;
@ -836,11 +849,28 @@ void init_people_config(t_person people[NMAXCIRCLES])
}
void add_obstacle(double x, double y, double radius, t_obstacle obstacle[NMAXOBSTACLES])
/* add a circular obstacle to obstacle configuration */
{
if (nobstacles + 1 < NMAXOBSTACLES)
{
obstacle[nobstacles].xc = x;
obstacle[nobstacles].yc = y;
obstacle[nobstacles].radius = radius;
obstacle[nobstacles].active = 1;
nobstacles++;
}
else printf("Warning: NMAXOBSTACLES should be increased\n");
}
void init_obstacle_config(t_obstacle obstacle[NMAXOBSTACLES])
/* initialise circular obstacle configuration */
{
int i, j, n;
double x, y, dx, dy;
double x, y, dx, dy, width, lpocket, xmid = 0.5*(BCXMIN + BCXMAX), radius;
switch (OBSTACLE_PATTERN) {
case (O_CORNERS):
@ -890,19 +920,130 @@ void init_obstacle_config(t_obstacle obstacle[NMAXOBSTACLES])
nobstacles = n;
break;
}
case (O_POOL_TABLE):
{
lpocket = 0.1;
width = 0.5*MU;
radius = 2.0*width;
add_obstacle(BCXMIN + lpocket, BCYMIN - width, radius, obstacle);
add_obstacle(xmid - lpocket, BCYMIN - width, radius, obstacle);
add_obstacle(xmid + lpocket, BCYMIN - width, radius, obstacle);
add_obstacle(BCXMAX - lpocket, BCYMIN - width, radius, obstacle);
add_obstacle(BCXMAX + width, BCYMIN + lpocket, radius, obstacle);
add_obstacle(BCXMAX + width, BCYMAX - lpocket, radius, obstacle);
add_obstacle(BCXMIN + lpocket, BCYMAX + width, radius, obstacle);
add_obstacle(xmid - lpocket, BCYMAX + width, radius, obstacle);
add_obstacle(xmid + lpocket, BCYMAX + width, radius, obstacle);
add_obstacle(BCXMAX - lpocket, BCYMAX + width, radius, obstacle);
add_obstacle(BCXMIN - width, BCYMIN + lpocket, radius, obstacle);
add_obstacle(BCXMIN - width, BCYMAX - lpocket, radius, obstacle);
break;
}
default:
{
printf("Function init_obstacle_config not defined for this pattern \n");
}
}
}
void add_rectangle_to_segments(double x1, double y1, double x2, double y2, t_segment segment[NMAXSEGMENTS])
/* add four segements forming a rectangle to linear obstacle configuration */
{
int i, n = nsegments;
if (nsegments + 4 < NMAXSEGMENTS)
{
segment[n].x1 = x1;
segment[n].y1 = y1;
segment[n].x2 = x2;
segment[n].y2 = y1;
segment[n+1].x1 = x2;
segment[n+1].y1 = y1;
segment[n+1].x2 = x2;
segment[n+1].y2 = y2;
segment[n+2].x1 = x2;
segment[n+2].y1 = y2;
segment[n+2].x2 = x1;
segment[n+2].y2 = y2;
segment[n+3].x1 = x1;
segment[n+3].y1 = y2;
segment[n+3].x2 = x1;
segment[n+3].y2 = y1;
for (i=0; i<4; i++) segment[n+i].concave = 1;
nsegments += 4;
}
else printf("Warning: NMAXSEGMENTS too small\n");
}
void add_rotated_angle_to_segments(double x1, double y1, double x2, double y2, double width, t_segment segment[NMAXSEGMENTS])
/* add four segments forming a rectangle, specified by two adjacent corners and width */
{
double tx, ty, ux, uy, norm, x3, y3, x4, y4;
int i, n = nsegments;
tx = x2 - x1;
ty = y2 - y1;
norm = module2(tx, ty);
tx = tx/norm;
ty = ty/norm;
x3 = x2 + width*ty;
y3 = y2 - width*tx;
x4 = x1 + width*ty;
y4 = y1 - width*tx;
if (nsegments + 4 < NMAXSEGMENTS)
{
segment[n].x1 = x1;
segment[n].y1 = y1;
segment[n].x2 = x2;
segment[n].y2 = y2;
segment[n+1].x1 = x2;
segment[n+1].y1 = y2;
segment[n+1].x2 = x3;
segment[n+1].y2 = y3;
segment[n+2].x1 = x3;
segment[n+2].y1 = y3;
segment[n+2].x2 = x4;
segment[n+2].y2 = y4;
segment[n+3].x1 = x4;
segment[n+3].y1 = y4;
segment[n+3].x2 = x1;
segment[n+3].y2 = y1;
for (i=0; i<4; i++) segment[n+i].concave = 1;
nsegments += 4;
}
else printf("Warning: NMAXSEGMENTS too small\n");
}
double nozzle_width(double x, double width)
/* width of bell-shaped nozzle */
{
double lam = 0.5*LAMBDA;
if (x >= 0.0) return(width);
else return(sqrt(width*width - 0.5*x));
}
void init_segment_config(t_segment segment[NMAXSEGMENTS])
/* initialise linear obstacle configuration */
{
int i, cycle = 0, iminus, iplus;
double angle, angle2, dx, width, height, a, b, length;
int i, j, cycle = 0, iminus, iplus, nsides, n;
double angle, angle2, dx, width, height, a, b, length, xmid = 0.5*(BCXMIN + BCXMAX), lpocket, r, x, x1, y1, x2, y2, nozx, nozy;
switch (SEGMENT_PATTERN) {
case (S_RECTANGLE):
@ -922,7 +1063,11 @@ void init_segment_config(t_segment segment[NMAXSEGMENTS])
cycle = 1;
nsegments = 4;
for (i=0; i<nsegments; i++) segment[i].concave = 0;
for (i=0; i<nsegments; i++)
{
segment[i].concave = 0;
segment[i].group = 0;
}
break;
}
case (S_CUP):
@ -945,7 +1090,12 @@ void init_segment_config(t_segment segment[NMAXSEGMENTS])
cycle = 1;
nsegments = 4;
for (i=0; i<nsegments; i++) segment[i].concave = 0;
for (i=0; i<nsegments; i++)
{
segment[i].concave = 0;
segment[i].group = 0;
}
break;
}
case (S_HOURGLASS):
@ -988,6 +1138,8 @@ void init_segment_config(t_segment segment[NMAXSEGMENTS])
cycle = 1;
nsegments = 8;
for (i=0; i<nsegments; i++) segment[i].group = 0;
break;
}
case (S_PENTA):
@ -1013,7 +1165,12 @@ void init_segment_config(t_segment segment[NMAXSEGMENTS])
cycle = 1;
nsegments = 5;
for (i=0; i<nsegments; i++) segment[i].concave = 0;
for (i=0; i<nsegments; i++)
{
segment[i].concave = 0;
segment[i].group = 0;
}
break;
}
case (S_CENTRIFUGE):
@ -1041,6 +1198,9 @@ void init_segment_config(t_segment segment[NMAXSEGMENTS])
cycle = 1;
nsegments = 4*NPOLY;
for (i=0; i<nsegments; i++) segment[i].group = 0;
break;
}
case (S_POLY_ELLIPSE):
@ -1066,6 +1226,214 @@ void init_segment_config(t_segment segment[NMAXSEGMENTS])
nsegments = 2*NPOLY;
break;
}
case (S_POOL_TABLE):
{
width = MU;
lpocket = 0.1;
add_rectangle_to_segments(BCXMIN + lpocket, BCYMIN, xmid - lpocket, BCYMIN - width, segment);
add_rectangle_to_segments(xmid + lpocket, BCYMIN, BCXMAX - lpocket, BCYMIN - width, segment);
add_rectangle_to_segments(BCXMAX + width, BCYMIN + lpocket, BCXMAX, BCYMAX - lpocket, segment);
add_rectangle_to_segments(BCXMAX - lpocket, BCYMAX, xmid + lpocket, BCYMAX + width, segment);
add_rectangle_to_segments(xmid - lpocket, BCYMAX, BCXMIN + lpocket, BCYMAX + width, segment);
add_rectangle_to_segments(BCXMIN - width, BCYMAX - lpocket, BCXMIN, BCYMIN + lpocket, segment);
cycle = 0;
for (i=0; i<nsegments; i++)
{
segment[i].concave = 0;
segment[i].group = 0;
}
break;
}
case (S_CENTRIFUGE_RND):
{
angle = DPI/(double)NPOLY;
nsides = 24;
if ((nsides+2)*NPOLY > NMAXSEGMENTS)
{
printf("Error: NMAXSEGMENTS is too small\n");
exit(1);
}
for (i=0; i<NPOLY; i++)
{
segment[i*(nsides+2)].x1 = LAMBDA*cos(((double)i + 0.02)*angle);
segment[i*(nsides+2)].y1 = LAMBDA*sin(((double)i + 0.02)*angle);
segment[i*(nsides+2)].concave = 1;
for (j=1; j<=nsides; j++)
{
x = (double)j/(double)(nsides+1);
r = 0.5 + sqrt(x*(1.0-x));
angle2 = (double)i*angle + angle*(double)j/(double)(nsides+1);
segment[i*(nsides+2) + j].x1 = r*cos(angle2);
segment[i*(nsides+2) + j].y1 = r*sin(angle2);
segment[i*(nsides+2) + j].concave = 0;
}
segment[i*(nsides+2) + nsides + 1].x1 = LAMBDA*cos(((double)i + 0.98)*angle);
segment[i*(nsides+2) + nsides + 1].y1 = LAMBDA*sin(((double)i + 0.98)*angle);
segment[i*(nsides+2) + nsides + 1].concave = 1;
}
cycle = 1;
nsegments = (nsides+2)*NPOLY;
for (i=0; i<nsegments; i++) segment[i].group = 0;
break;
}
case (S_CENTRIFUGE_LEAKY):
{
angle = DPI/(double)NPOLY;
nsides = 20;
if (2*(nsides+2)*NPOLY > NMAXSEGMENTS)
{
printf("Error: NMAXSEGMENTS is too small\n");
exit(1);
}
for (i=0; i<NPOLY; i++)
{
angle2 = (double)i*angle;
x1 = LAMBDA*cos(angle2);
y1 = LAMBDA*sin(angle2);
x2 = 0.7*cos(angle2);
y2 = 0.7*sin(angle2);
add_rotated_angle_to_segments(x1, y1, x2, y2, MU, segment);
for (j=0; j<nsides; j++) if (j!=nsides/2)
{
x = (double)j/(double)(nsides);
r = 0.5 + sqrt(x*(1.0-x) + 0.04);
if (j < nsides/2) angle2 = (double)i*angle + angle*(double)j/((double)(nsides) - 0.15);
else angle2 = (double)i*angle + angle*(double)j/((double)(nsides) + 0.15);
x1 = r*cos(angle2);
y1 = r*sin(angle2);
x = (double)(j+1)/(double)(nsides);
r = 0.5 + sqrt(x*(1.0-x) + 0.04);
if (j < nsides/2) angle2 = (double)i*angle + angle*(double)(j+1)/((double)(nsides) - 0.15);
else angle2 = (double)i*angle + angle*(double)(j+1)/((double)(nsides) + 0.15);
x2 = r*cos(angle2);
y2 = r*sin(angle2);
add_rotated_angle_to_segments(x1, y1, x2, y2, 0.5*MU, segment);
}
}
cycle = 0;
for (i=0; i<nsegments; i++)
{
segment[i].concave = 0;
segment[i].group = 0;
}
break;
}
case (S_CIRCLE_EXT):
{
angle = DPI/(double)NPOLY;
for (i=0; i<NPOLY; i++)
{
segment[i].x1 = SEGMENTS_X0 + LAMBDA*cos(((double)i)*angle);
segment[i].y1 = SEGMENTS_Y0 - LAMBDA*sin(((double)i)*angle);
segment[i].concave = 1;
}
cycle = 1;
nsegments = NPOLY;
for (i=0; i<nsegments; i++) segment[i].group = 0;
break;
}
case (S_ROCKET_NOZZLE):
{
/* ellipse */
for (i=1; i<NPOLY-1; i++)
{
angle = -PI + (double)i*DPI/(double)NPOLY;
x1 = 0.7*LAMBDA*(1.0 + cos(angle));
y1 = 0.5*LAMBDA*sin(angle);
angle = -PI + (double)(i+1)*DPI/(double)NPOLY;
x2 = 0.7*LAMBDA*(1.0 + cos(angle));
y2 = 0.5*LAMBDA*sin(angle);
add_rotated_angle_to_segments(x1, y1, x2, y2, 0.02, segment);
}
/* compute intersection point of nozzle and ellipse */
angle = PI - DPI/(double)NPOLY;
nozx = 0.7*LAMBDA*(1.0 + cos(angle));
nozy = 0.5*LAMBDA*sin(angle);
nsides = 10;
dx = LAMBDA/(double)(nsides);
/* nozzle */
for (i=0; i<nsides; i++)
{
x1 = -LAMBDA + dx*(double)(i-1);
y1 = nozzle_width(x1, nozy);
x2 = x1 + dx;
y2 = nozzle_width(x2, nozy);
add_rotated_angle_to_segments(x1, y1, x2, y2, 0.02, segment);
}
add_rotated_angle_to_segments(x2, y2, nozx, nozy, 0.02, segment);
for (i=0; i<nsides; i++)
{
x1 = -LAMBDA + dx*(double)(i-1);
y1 = -nozzle_width(x1, nozy);
x2 = x1 + dx;
y2 = -nozzle_width(x2, nozy);
add_rotated_angle_to_segments(x1, y1, x2, y2, 0.02, segment);
}
add_rotated_angle_to_segments(x2, y2, nozx, -nozy, 0.02, segment);
/* closing segment */
segment[nsegments].x1 = nozx;
segment[nsegments].y1 = nozy;
segment[nsegments].x2 = nozx;
segment[nsegments].y2 = -nozy;
nsegments++;
cycle = 0;
for (i=0; i<nsegments; i++) segment[i].group = 0;
break;
}
case (S_TWO_CIRCLES_EXT):
{
angle = DPI/(double)NPOLY;
for (i=0; i<NPOLY; i++)
{
segment[i].x1 = SEGMENTS_X0 + LAMBDA*cos(((double)i)*angle);
segment[i].y1 = SEGMENTS_Y0 - LAMBDA*sin(((double)i)*angle);
segment[i].x2 = SEGMENTS_X0 + LAMBDA*cos(((double)(i+1))*angle);
segment[i].y2 = SEGMENTS_Y0 - LAMBDA*sin(((double)(i+1))*angle);
segment[i].concave = 1;
segment[i].group = 0;
}
for (i=NPOLY; i<2*NPOLY; i++)
{
segment[i].x1 = -SEGMENTS_X0 + TWO_CIRCLES_RADIUS_RATIO*LAMBDA*cos(((double)i)*angle);
segment[i].y1 = SEGMENTS_Y0 - TWO_CIRCLES_RADIUS_RATIO*LAMBDA*sin(((double)i)*angle);
segment[i].x2 = -SEGMENTS_X0 + TWO_CIRCLES_RADIUS_RATIO*LAMBDA*cos(((double)(i+1))*angle);
segment[i].y2 = SEGMENTS_Y0 - TWO_CIRCLES_RADIUS_RATIO*LAMBDA*sin(((double)(i+1))*angle);
segment[i].concave = 1;
segment[i].group = 1;
}
cycle = 0;
nsegments = 2*NPOLY;
break;
}
default:
{
printf("Function init_segment_config not defined for this pattern \n");
@ -1077,6 +1445,11 @@ void init_segment_config(t_segment segment[NMAXSEGMENTS])
segment[i].x2 = segment[(i+1)%(nsegments)].x1;
segment[i].y2 = segment[(i+1)%(nsegments)].y1;
}
else if (SEGMENT_PATTERN != S_TWO_CIRCLES_EXT) for (i=0; i<nsegments; i++) if (segment[i].cycle)
{
segment[i].x2 = segment[(i+1)%(nsegments)].x1;
segment[i].y2 = segment[(i+1)%(nsegments)].y1;
}
/* add one segment for S_POLY_ELLIPSE configuration */
if (SEGMENT_PATTERN == S_POLY_ELLIPSE)
@ -1091,6 +1464,10 @@ void init_segment_config(t_segment segment[NMAXSEGMENTS])
/* activate all segments */
for (i=0; i<nsegments; i++) segment[i].active = 1;
/* inactivate some segments of leaky centrifuge */
// if (SEGMENT_PATTERN == S_CENTRIFUGE_LEAKY)
// for (i=0; i<NPOLY; i++) segment[(nsides+2)*i + nsides/2].active = 0;
/* compute parameters for slope and normal of segments */
for (i=0; i<nsegments; i++)
{
@ -1108,8 +1485,20 @@ void init_segment_config(t_segment segment[NMAXSEGMENTS])
/* deal with concave corners */
for (i=0; i<nsegments; i++) if (segment[i].concave)
{
iminus = i-1; if (iminus == 0) iminus = nsegments - 1;
iplus = i+1; if (iplus == nsegments - 1) iplus = 0;
iminus = i-1;
iplus = i+1;
if (SEGMENT_PATTERN == S_TWO_CIRCLES_EXT)
{
if (iminus == -1) iminus += nsegments/2;
else if (iminus == nsegments/2 - 1) iminus += nsegments/2;
if (iplus == nsegments/2) iplus = 0;
else if (iplus == nsegments) iplus = nsegments/2;
}
else
{
if (iminus == 0) iminus = nsegments - 1;
if (iplus == nsegments - 1) iplus = 0;
}
angle = argument(segment[iplus].x1 - segment[i].x1, segment[iplus].y1 - segment[i].y1) + PID;
angle2 = argument(segment[i].x1 - segment[iminus].x1, segment[i].y1 - segment[iminus].y1) + PID;
if (angle2 < angle) angle2 += DPI;
@ -1141,7 +1530,7 @@ void init_segment_config(t_segment segment[NMAXSEGMENTS])
int in_segment_region(double x, double y)
/* returns 1 if (x,y) is inside region delimited by obstacle segments */
{
double angle, dx, height, width, theta;
double angle, dx, height, width, theta, lx, ly;
if (x >= BCXMAX) return(0);
if (x <= BCXMIN) return(0);
@ -1194,6 +1583,51 @@ int in_segment_region(double x, double y)
if (x*x + y*y/(LAMBDA*LAMBDA) < 0.95) return(1);
else return(0);
}
case (S_CENTRIFUGE_RND):
{
if (module2(x,y) > 0.75) return(0);
angle = argument(x,y);
theta = DPI/(double)NPOLY;
while (angle > theta) angle -= theta;
while (angle < 0.0) angle += theta;
if (angle < 0.1) return(0);
if (angle > 0.9) return(0);
return(1);
}
case (S_CENTRIFUGE_LEAKY):
{
if (module2(x,y) > 0.75) return(0);
angle = argument(x,y);
theta = DPI/(double)NPOLY;
while (angle > theta) angle -= theta;
while (angle < 0.0) angle += theta;
if (angle < 0.1) return(0);
if (angle > 0.9) return(0);
return(1);
}
case (S_CIRCLE_EXT):
{
if (module2(x - SEGMENTS_X0, y - SEGMENTS_Y0) > LAMBDA + 2.0*MU) return(1);
else return(0);
}
case (S_TWO_CIRCLES_EXT):
{
if ((module2(x - SEGMENTS_X0, y - SEGMENTS_Y0) > LAMBDA + 2.0*MU)&&(module2(x + SEGMENTS_X0, y - SEGMENTS_Y0) > TWO_CIRCLES_RADIUS_RATIO*LAMBDA + 2.0*MU)) return(1);
else return(0);
}
case (S_ROCKET_NOZZLE):
{
if (x < 0.0) return(0);
else if (x > 1.4*LAMBDA) return(0);
else
{
lx = 0.7*LAMBDA;
ly = 0.5*LAMBDA;
x -= lx;
if (x*x/(lx*lx) + y*y/(ly*ly) < 0.95) return(1);
}
return(0);
}
default: return(1);
}
}
@ -1231,17 +1665,27 @@ void rotate_segments(t_segment segment[NMAXSEGMENTS], double angle)
}
void translate_segments(t_segment segment[NMAXSEGMENTS], double deltax, double deltay)
void translate_segments(t_segment segment[NMAXSEGMENTS], double deltax[2], double deltay[2])
/* rotates the repelling segments by given angle */
{
int i;
int i, group;
for (i=0; i<nsegments; i++)
{
segment[i].x1 = segment[i].x01 + deltax;
segment[i].y1 = segment[i].y01 + deltay;
segment[i].x2 = segment[i].x02 + deltax;
segment[i].y2 = segment[i].y02 + deltay;
group = segment[i].group;
if (group == 0)
{
segment[i].x1 = segment[i].x01 + deltax[group] - SEGMENTS_X0;
segment[i].x2 = segment[i].x02 + deltax[group] - SEGMENTS_X0;
}
else
{
segment[i].x1 = segment[i].x01 + deltax[group] + SEGMENTS_X0;
segment[i].x2 = segment[i].x02 + deltax[group] + SEGMENTS_X0;
}
segment[i].y1 = segment[i].y01 + deltay[group] - SEGMENTS_Y0;
segment[i].y2 = segment[i].y02 + deltay[group] - SEGMENTS_Y0;
segment[i].c = segment[i].nx*segment[i].x1 + segment[i].ny*segment[i].y1;
}
}
@ -2074,6 +2518,63 @@ void compute_entropy(t_particle particle[NMAXCIRCLES], double entropy[2])
else entropy[1] = -(p2*log(p2) + (1.0-p2)*log(1.0-p2)/log2);
}
void draw_triangles(t_particle particle[NMAXCIRCLES])
/* fill triangles between neighboring particles */
{
int i, j, k, p, q, t0, tj, tmax, nsame = 0, same_table[9*HASHMAX];
double rgb[3], hue, dx, dy, x, y;
printf("Number of nbs: ");
for (i=0; i<ncircles; i++) if (particle[i].active)
{
nsame = 0;
t0 = particle[i].type;
/* find neighbours of same type */
for (j=0; j<particle[i].hash_nneighb; j++)
{
k = particle[i].hashneighbour[j];
if ((k!=i)&&(particle[k].type == t0))
{
same_table[nsame] = j;
nsame++;
}
}
/* draw the triangles */
if (nsame > 1)
{
if (t0 <= 1) hue = HUE_TYPE0;
else if (t0 == 2) hue = HUE_TYPE1;
else if (t0 == 3) hue = HUE_TYPE2;
else hue = HUE_TYPE3;
hsl_to_rgb(hue, 0.9, 0.3, rgb);
glColor3f(rgb[0], rgb[1], rgb[2]);
for (p=-1; p<2; p++) for (q=-1; q<2; q++)
{
x = particle[i].xc + (double)p*(BCXMAX - BCXMIN);
y = particle[i].yc + (double)q*(BCYMAX - BCYMIN);
glBegin(GL_TRIANGLE_FAN);
glVertex2d(x, y);
// printf("%i | ", particle[i].hash_nneighb);
for (k=0; k<nsame; k++)
{
dx = particle[i].deltax[same_table[k]];
dy = particle[i].deltay[same_table[k]];
if (module2(dx, dy) < particle[i].radius*NBH_DIST_FACTOR)
glVertex2d(x + dx, y + dy);
}
glEnd();
}
}
}
printf("\n");
}
void draw_one_particle_links(t_particle particle)
/* draw links of one particle */
{
@ -2224,22 +2725,42 @@ void draw_trajectory(t_tracer trajectory[TRAJECTORY_LENGTH*N_TRACER_PARTICLES],
}
void draw_particles(t_particle particle[NMAXCIRCLES], int plot)
void draw_particles(t_particle particle[NMAXCIRCLES], int plot, double beta)
{
int i, j, k, m, width, nnbg, nsides;
double ej, hue, huex, huey, rgb[3], rgbx[3], rgby[3], radius, x1, y1, x2, y2, angle, ca, sa, length, linkcolor, sign = 1.0, angle1, signy = 1.0, periodx, periody, x, y, lum;
double ej, hue, huex, huey, rgb[3], rgbx[3], rgby[3], radius, x1, y1, x2, y2, angle, ca, sa, length, linkcolor, sign = 1.0, angle1, signy = 1.0, periodx, periody, x, y, lum, logratio;
char message[100];
if (!TRACER_PARTICLE) blank();
glColor3f(1.0, 1.0, 1.0);
/* show region of partial thermostat */
if ((PARTIAL_THERMO_COUPLING)&&(PARTIAL_THERMO_REGION == TH_INBOX))
{
if (INCREASE_BETA)
{
logratio = log(beta/BETA)/log(0.5*BETA_FACTOR);
if (logratio > 1.0) logratio = 1.0;
else if (logratio < 0.0) logratio = 0.0;
if (BETA_FACTOR > 1.0) hue = PARTICLE_HUE_MAX - (PARTICLE_HUE_MAX - PARTICLE_HUE_MIN)*logratio;
else hue = PARTICLE_HUE_MIN - (PARTICLE_HUE_MIN - PARTICLE_HUE_MAX)*logratio;
}
else hue = 0.25*PARTICLE_HUE_MIN + 0.75*PARTICLE_HUE_MAX;
erase_area_hsl_turbo(0.0, YMIN, 2.0*PARTIAL_THERMO_WIDTH, PARTIAL_THERMO_HEIGHT*(YMAX - YMIN), hue, 0.9, 0.15);
}
/* draw the bonds first */
if (plot == P_BONDS)
if ((DRAW_BONDS)||(plot == P_BONDS))
{
glLineWidth(LINK_WIDTH);
for (j=0; j<ncircles; j++) if (particle[j].active) draw_one_particle_links(particle[j]);
}
/* fill triangles between particles */
if (FILL_TRIANGLES) draw_triangles(particle);
/* determine particle color and size */
for (j=0; j<ncircles; j++) if (particle[j].active)
{
@ -2741,6 +3262,11 @@ void draw_container(double xmin, double xmax, t_obstacle obstacle[NMAXOBSTACLES]
{
hsl_to_rgb(300.0, 0.1, 0.5, rgb);
draw_colored_rectangle(0.0, 0.0, BCXMAX, BCYMAX, rgb);
break;
}
default:
{
/* do nothing */
}
}
@ -2823,6 +3349,7 @@ void print_parameters(double beta, double temperature, double krepel, double len
{
logratio = log(beta/BETA)/log(0.5*BETA_FACTOR);
if (logratio > 1.0) logratio = 1.0;
else if (logratio < 0.0) logratio = 0.0;
if (BETA_FACTOR > 1.0) hue = PARTICLE_HUE_MAX - (PARTICLE_HUE_MAX - PARTICLE_HUE_MIN)*logratio;
else hue = PARTICLE_HUE_MIN - (PARTICLE_HUE_MIN - PARTICLE_HUE_MAX)*logratio;
erase_area_hsl_turbo(xbox, y + 0.025, 0.37, 0.05, hue, 0.9, 0.5);
@ -3105,8 +3632,6 @@ void print_omega(double angular_speed)
if (first)
{
// xleftbox = XMIN + 0.4;
// xlefttext = xleftbox - 0.55;
xrightbox = XMAX - 0.39;
xrighttext = xrightbox - 0.55;
first = 0;
@ -3115,11 +3640,55 @@ void print_omega(double angular_speed)
erase_area_hsl(xrightbox, y + 0.025, 0.35, 0.05, 0.0, 0.9, 0.0);
glColor3f(1.0, 1.0, 1.0);
sprintf(message, "Angular speed = %.4f", DPI*angular_speed*25.0/(double)(PERIOD_ROTATE_BOUNDARY));
sprintf(message, "Angular speed = %.4f", angular_speed);
// sprintf(message, "Angular speed = %.4f", DPI*angular_speed*25.0/(double)(PERIOD_ROTATE_BOUNDARY));
write_text(xrighttext + 0.1, y, message);
}
void print_segments_speeds(double vx[2], double vy[2])
{
char message[100];
double rgb[3], y = YMAX - 0.1;
static double xleftbox, xlefttext, xrightbox, xrighttext, ymin = YMIN + 0.05;
static int first = 1;
if (first)
{
xleftbox = XMIN + 0.4;
xlefttext = xleftbox - 0.3;
xrightbox = XMAX - 0.39;
xrighttext = xrightbox - 0.3;
first = 0;
}
erase_area_hsl(xrightbox, y + 0.025, 0.25, 0.05, 0.0, 0.9, 0.0);
glColor3f(1.0, 1.0, 1.0);
sprintf(message, "Vx = %.2f", vx[0]);
write_text(xrighttext + 0.1, y, message);
y -= 0.1;
erase_area_hsl(xrightbox, y + 0.025, 0.25, 0.05, 0.0, 0.9, 0.0);
glColor3f(1.0, 1.0, 1.0);
sprintf(message, "Vy = %.2f", vy[0]);
write_text(xrighttext + 0.1, y, message);
if (TWO_OBSTACLES)
{
y = YMAX - 0.1;
erase_area_hsl(xleftbox, y + 0.025, 0.25, 0.05, 0.0, 0.9, 0.0);
glColor3f(1.0, 1.0, 1.0);
sprintf(message, "Vx = %.2f", vx[1]);
write_text(xlefttext + 0.1, y, message);
y -= 0.1;
erase_area_hsl(xleftbox, y + 0.025, 0.25, 0.05, 0.0, 0.9, 0.0);
glColor3f(1.0, 1.0, 1.0);
sprintf(message, "Vy = %.2f", vy[1]);
write_text(xlefttext + 0.1, y, message);
}
}
void print_particles_speeds(t_particle particle[NMAXCIRCLES])
{
char message[100];
@ -3606,6 +4175,34 @@ double compute_boundary_force(int j, t_particle particle[NMAXCIRCLES], t_obstacl
}
return(fperp);
}
case (BC_ABSORBING):
{
/* add harmonic force outside screen */
padding = 0.1;
x = particle[j].xc;
y = particle[j].yc;
if ((x > XMAX + padding)||(x < XMIN - padding)||(y > YMAX + padding)||(y < YMIN - padding))
{
particle[j].active = 0;
particle[j].vx = 0.0;
particle[j].vy = 0.0;
particle[j].xc = XMAX + 2.0*padding;
particle[j].yc = YMAX + 2.0*padding;
}
// if ((x > XMAX)&&(x < XMAX + 0.5*padding)) particle[j].fx += KSPRING_BOUNDARY*(XMAX + 0.5*padding - x);
// else if (x < XMIN) particle[j].fx -= KSPRING_BOUNDARY;
// if (y > YMAX) particle[j].fy += KSPRING_BOUNDARY;
// else if (y < YMIN) particle[j].fy -= KSPRING_BOUNDARY;
// if (x > XMAX + padding) particle[j].fx -= KSPRING_BOUNDARY*(x - XMAX - padding);
// else if (x < XMIN - padding) particle[j].fx += KSPRING_BOUNDARY*(XMIN - padding - x);
// if (y > YMAX + padding) particle[j].fy -= KSPRING_BOUNDARY*(y - YMAX - padding);
// else if (y < YMIN - padding) particle[j].fy += KSPRING_BOUNDARY*(YMIN - padding - y);
return(fperp);
}
}
}
@ -3907,13 +4504,15 @@ int add_particles(t_particle particle[NMAXCIRCLES], double px[NMAXCIRCLES], doub
// px[ncircles - 1] = particle[ncircles - 1].vx;
// py[ncircles - 1] = particle[ncircles - 1].vy;
// add_particle(MU*(2.0*rand()/RAND_MAX - 1.0), YMAX + 2.0*MU, 0.0, 0.0, PARTICLE_MASS, 0, particle);
// add_particle(XMIN - 0.5*MU, 0.0, 50.0 + 5.0*(double)i, 0.0, 2.0*PARTICLE_MASS, 0, particle);
printf("Adding a particle\n\n");
add_particle(XMIN - 0.5*MU, 0.0, 50.0 + 5.0*(double)i, 0.0, 2.0*PARTICLE_MASS, 0, particle);
i++;
add_particle(BCXMIN + 0.1, 0.5*(BCYMIN + BCYMAX), 200.0, 0.0, PARTICLE_MASS, 0, particle);
// i++;
particle[ncircles - 1].radius = 0.5*MU;
particle[ncircles - 1].radius = MU;
particle[ncircles - 1].eq_dist = EQUILIBRIUM_DIST;
particle[ncircles - 1].thermostat = 0;
px[ncircles - 1] = particle[ncircles - 1].vx;
@ -3959,6 +4558,7 @@ int partial_thermostat_coupling(t_particle particle[NMAXCIRCLES], double xmin)
/* only couple particles with x > xmin to thermostat */
{
int condition, i, nthermo = 0;
double x, y;
for (i=0; i<ncircles; i++)
{
@ -3970,7 +4570,17 @@ int partial_thermostat_coupling(t_particle particle[NMAXCIRCLES], double xmin)
}
case (TH_INSEGMENT):
{
condition = (in_segment_region(particle[i].xc - xsegments, particle[i].yc - ysegments));
condition = (in_segment_region(particle[i].xc - xsegments[0], particle[i].yc - ysegments[0]));
// condition = (in_segment_region(particle[i].xc - xsegments[0], particle[i].yc - ysegments[0]));
// if (TWO_OBSTACLES)
// condition = condition||(in_segment_region(particle[i].xc - xsegments[1], particle[i].yc - ysegments[1]));
break;
}
case (TH_INBOX):
{
x = particle[i].xc;
y = particle[i].yc;
condition = ((y < YMIN + PARTIAL_THERMO_HEIGHT*(YMAX - YMIN))&&(vabs(x) < PARTIAL_THERMO_WIDTH*XMAX));
break;
}
default: condition = 1;

96
sub_part_billiard.c
View File

@ -276,6 +276,14 @@ void erase_rectangle_outside(double h, double s, double l)
glEnd();
}
void draw_line(double x1, double y1, double x2, double y2)
{
glBegin(GL_LINE_STRIP);
glVertex2d(x1, y1);
glVertex2d(x2, y2);
glEnd();
}
void draw_circle(double x, double y, double r, int nseg)
{
int i;
@ -1323,21 +1331,32 @@ void draw_billiard() /* draws the billiard boundary */
}
if (FOCI)
{
if (POLYLINE_PATTERN == P_TOKARSKY)
{
glLineWidth(2);
rgb[0] = 1.0; rgb[1] = 0.0; rgb[2] = 0.0;
draw_colored_circle(-0.95, 0.0, r, NSEG, rgb);
rgb[0] = 0.0; rgb[1] = 0.8; rgb[2] = 0.2;
draw_colored_circle(0.95, 0.0, r, NSEG, rgb);
}
else if (POLYLINE_PATTERN == P_TOKA_PRIME)
{
glLineWidth(2);
rgb[0] = 1.0; rgb[1] = 0.0; rgb[2] = 0.0;
draw_colored_circle(-polyline[84].x1, polyline[84].y1, r, NSEG, rgb);
rgb[0] = 0.0; rgb[1] = 0.8; rgb[2] = 0.2;
draw_colored_circle(polyline[84].x1, polyline[84].y1, r, NSEG, rgb);
switch (POLYLINE_PATTERN) {
case (P_TOKARSKY):
{
glLineWidth(2);
rgb[0] = 1.0; rgb[1] = 0.0; rgb[2] = 0.0;
draw_colored_circle(-0.95, 0.0, r, NSEG, rgb);
rgb[0] = 0.0; rgb[1] = 0.8; rgb[2] = 0.2;
draw_colored_circle(0.95, 0.0, r, NSEG, rgb);
break;
}
case (P_TOKA_PRIME):
{
glLineWidth(2);
rgb[0] = 1.0; rgb[1] = 0.0; rgb[2] = 0.0;
draw_colored_circle(-polyline[84].x1, polyline[84].y1, r, NSEG, rgb);
rgb[0] = 0.0; rgb[1] = 0.8; rgb[2] = 0.2;
draw_colored_circle(polyline[84].x1, polyline[84].y1, r, NSEG, rgb);
break;
}
case (P_TOKA_NONSELF):
{
glLineWidth(2);
rgb[0] = 0.0; rgb[1] = 0.8; rgb[2] = 0.2;
draw_colored_circle(0.0, 0.0, r, NSEG, rgb);
break;
}
}
}
if (ABSORBING_CIRCLES)
@ -6083,8 +6102,53 @@ void init_polyline(t_segment polyline[NMAXPOLY], t_circle circles[NMAXCIRCLES])
circles[i].radius = MU;
circles[i].active = 1;
}
break;
}
case (P_TOKA_NONSELF):
{
nsides = 12;
ncircles = 12;
polyline[0].x1 = 0.0; polyline[0].y1 = 2.0; polyline[0].angle = 3.0*PID;
polyline[1].x1 = 0.0; polyline[1].y1 = 1.0; polyline[1].angle = 0.0;
polyline[2].x1 = 1.0; polyline[2].y1 = 1.0; polyline[2].angle = 3.5*PID;
polyline[3].x1 = 2.0; polyline[3].y1 = 0.0; polyline[3].angle = PI;
polyline[4].x1 = 1.0; polyline[4].y1 = 0.0; polyline[4].angle = 3.0*PID;
polyline[5].x1 = 1.0; polyline[5].y1 = -1.0; polyline[5].angle = 2.5*PID;
polyline[6].x1 = 0.0; polyline[6].y1 = -2.0; polyline[6].angle = PID;
polyline[7].x1 = 0.0; polyline[7].y1 = -1.0; polyline[7].angle = PI;
polyline[8].x1 = -1.0; polyline[8].y1 = -1.0; polyline[8].angle = 1.5*PID;
polyline[9].x1 = -2.0; polyline[9].y1 = 0.0; polyline[9].angle = 0.0;
polyline[10].x1 = -1.0; polyline[10].y1 = 0.0; polyline[10].angle = PID;
polyline[11].x1 = -1.0; polyline[11].y1 = 1.0; polyline[11].angle = 0.5*PID;
ratio = (YMAX - YMIN)/4.5;
for (i=0; i<nsides; i++)
{
polyline[i].x1 = ratio*(polyline[i].x1);
polyline[i].y1 = ratio*(polyline[i].y1);
}
for (i=0; i<nsides; i++) if (i < nsides-1)
{
polyline[i].x2 = polyline[i+1].x1;
polyline[i].y2 = polyline[i+1].y1;
}
polyline[nsides-1].x2 = polyline[0].x1;
polyline[nsides-1].y2 = polyline[0].y1;
for (i=0; i<nsides; i++)
polyline[i].length = module2(polyline[i].x2 - polyline[i].x1, polyline[i].y2 - polyline[i].y1);
for (i=0; i<ncircles; i++)
{
circles[i].xc = polyline[i].x1;
circles[i].yc = polyline[i].y1;
circles[i].radius = MU;
circles[i].active = 1;
}
break;
}
}
}

284
sub_rde.c
View File

@ -399,13 +399,29 @@ void compute_field_argument(double *phi[NFIELDS], t_rde rde[NX*NY])
for (j=0; j<NY; j++)
{
arg = argument(phi[0][i*NY+j], phi[1][i*NY+j]) + COLOR_PHASE_SHIFT*PI;
if (arg < 0.0) arg += DPI;
if (arg >= DPI) arg -= DPI;
while (arg < 0.0) arg += DPI;
while (arg >= DPI) arg -= DPI;
rde[i*NY+j].field_arg = arg;
}
}
void compute_probabilities(t_rde rde[NX*NY], short int xy_in[NX*NY], double probas[2])
/* compute probabilities for Ehrenfest urns */
{
int i, j;
double pleft = 0.0, pright = 0.0, sum;
#pragma omp parallel for private(j)
for (j=0; j<NY; j++)
{
for (i=0; i<NX/2; i++) if (xy_in[i*NY+j]) pleft += rde[i*NY+j].field_norm;
for (i=NX/2; i<NX; i++) if (xy_in[i*NY+j]) pright += rde[i*NY+j].field_norm;
}
sum = pleft + pright;
probas[0] = pleft/sum;
probas[1] = pright/sum;
}
// void compute_field_norm(double phi_x[NX*NY], double phi_y[NX*NY], double phi_norm[NX*NY], double factor)
// /* compute the norm of (phi_x, phi_y) */
@ -487,7 +503,7 @@ void compute_laplacian(double phi_in[NX*NY], double phi_out[NX*NY], short int xy
}
}
void compute_light_angle_rde(short int xy_in[NX*NY], t_rde rde[NX*NY], int movie)
void compute_light_angle_rde(short int xy_in[NX*NY], t_rde rde[NX*NY], double potential[NX*NY], int movie)
/* computes cosine of angle between normal vector and vector light */
{
int i, j;
@ -510,6 +526,14 @@ void compute_light_angle_rde(short int xy_in[NX*NY], t_rde rde[NX*NY], int movie
{
gradx = (*rde[(i+1)*NY+j].p_zfield[movie] - *rde[(i-1)*NY+j].p_zfield[movie])/dx;
grady = (*rde[i*NY+j+1].p_zfield[movie] - *rde[i*NY+j-1].p_zfield[movie])/dy;
/* case where the potential is added to the z coordinate */
if ((ADD_POTENTIAL)&&(ADD_POTENTIAL_TO_Z))
{
gradx += ADD_POT_CONSTANT*(potential[(i+1)*NY+j] - potential[(i-1)*NY+j])/dx;
grady += ADD_POT_CONSTANT*(potential[i*NY+j+1] - potential[i*NY+j-1])/dx;
}
norm = sqrt(1.0 + gradx*gradx + grady*grady);
pscal = -gradx*light[0] - grady*light[1] + 1.0;
@ -603,7 +627,8 @@ void compute_field_color_rde(double value, int cplot, int palette, double rgb[3]
}
case (Z_NORM_GRADIENT):
{
color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 0, rgb);
// color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 0, rgb);
color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 0, rgb);
break;
}
case (Z_ANGLE_GRADIENT):
@ -631,6 +656,11 @@ void compute_field_color_rde(double value, int cplot, int palette, double rgb[3]
hsl_to_rgb_palette(180.0*(1.0 - color_amplitude(value, 1.0, 0)), 0.9, 0.5, rgb, palette);
break;
}
case (Z_VORTICITY_ABS):
{
hsl_to_rgb_palette(360.0*(1.0 - vabs(color_amplitude(value, 1.0, 0))), 0.9, 0.5, rgb, palette);
break;
}
case (Z_MAXTYPE_RPSLZ):
{
hsl_to_rgb_palette(value, 0.9, 0.5, rgb, palette);
@ -653,25 +683,47 @@ void compute_field_color_rde(double value, int cplot, int palette, double rgb[3]
}
case (Z_ARGUMENT):
{
color_scheme_palette(C_ONEDIM_LINEAR, palette, value/DPI, 1.0, 1, rgb);
// color_scheme_palette(C_ONEDIM_LINEAR, palette, value/DPI, 1.0, 1, rgb);
hsl_to_rgb_palette(360.0*value/DPI, 0.9, 0.5, rgb, palette);
break;
}
case (Z_REALPART):
{
color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*value, 1.0, 0, rgb);
break;
}
}
}
double adjust_field(double z, double pot)
/* add potential in case of option ADD_POTENTIAL_TO_Z */
{
if ((ADD_POTENTIAL)&&(ADD_POTENTIAL_TO_Z)) return (z + ADD_POT_CONSTANT*pot);
else return(z);
}
double compute_interpolated_colors_rde(int i, int j, t_rde rde[NX*NY], double palette, int cplot,
double compute_interpolated_colors_rde(int i, int j, t_rde rde[NX*NY], double potential[NX*NY], double palette, int cplot,
double rgb_e[3], double rgb_w[3], double rgb_n[3], double rgb_s[3],
double *z_sw, double *z_se, double *z_nw, double *z_ne,
int fade, double fade_value, int movie)
{
int k;
double cw, ce, cn, cs, c_sw, c_se, c_nw, c_ne, c_mid, ca, z_mid;
double *z_sw, *z_se, *z_nw, *z_ne, lum;
double lum;
z_sw = rde[i*NY+j].p_zfield[movie];
z_se = rde[(i+1)*NY+j].p_zfield[movie];
z_nw = rde[i*NY+j+1].p_zfield[movie];
z_ne = rde[(i+1)*NY+j+1].p_zfield[movie];
*z_sw = *rde[i*NY+j].p_zfield[movie];
*z_se = *rde[(i+1)*NY+j].p_zfield[movie];
*z_nw = *rde[i*NY+j+1].p_zfield[movie];
*z_ne = *rde[(i+1)*NY+j+1].p_zfield[movie];
if ((ADD_POTENTIAL)&&(ADD_POTENTIAL_TO_Z))
{
*z_sw += ADD_POT_CONSTANT*potential[i*NY+j];
*z_se += ADD_POT_CONSTANT*potential[(i+1)*NY+j];
*z_nw += ADD_POT_CONSTANT*potential[i*NY+j+1];
*z_ne += ADD_POT_CONSTANT*potential[(i+1)*NY+j+1];
}
z_mid = 0.25*(*z_sw + *z_se + *z_nw + *z_ne);
@ -707,9 +759,10 @@ double compute_interpolated_colors_rde(int i, int j, t_rde rde[NX*NY], double pa
compute_field_color_rde(cn, cplot, palette, rgb_n);
compute_field_color_rde(cs, cplot, palette, rgb_s);
// if ((cplot == Z_ARGUMENT)||(cplot == Z_REALPART))
if (cplot == Z_ARGUMENT)
{
lum = tanh(SLOPE_SCHROD_LUM*rde[i*NY+j].field_norm);
lum = tanh(SLOPE_SCHROD_LUM*rde[i*NY+j].field_norm) + MIN_SCHROD_LUM;
for (k=0; k<3; k++)
{
rgb_e[k] *= lum;
@ -767,7 +820,7 @@ void compute_rde_fields(double *phi[NFIELDS], short int xy_in[NX*NY], int zplot,
compute_gradient_polar(rde, 0.03);
}
if ((zplot == Z_VORTICITY)||(cplot == Z_VORTICITY))
if ((zplot == Z_VORTICITY)||(cplot == Z_VORTICITY)||(zplot == Z_VORTICITY_ABS)||(cplot == Z_VORTICITY_ABS))
{
compute_gradient_theta(rde);
compute_curl(rde);
@ -851,6 +904,12 @@ void init_zfield_rde(double *phi[NFIELDS], short int xy_in[NX*NY], int zplot, t_
for (i=0; i<NX; i++) for (j=0; j<NY; j++) rde[i*NY+j].p_zfield[movie] = &rde[i*NY+j].curl;
break;
}
case (Z_VORTICITY_ABS):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) rde[i*NY+j].p_zfield[movie] = &rde[i*NY+j].curl;
break;
}
case (Z_MAXTYPE_RPSLZ):
{
#pragma omp parallel for private(i,j)
@ -881,6 +940,12 @@ void init_zfield_rde(double *phi[NFIELDS], short int xy_in[NX*NY], int zplot, t_
for (i=0; i<NX; i++) for (j=0; j<NY; j++) rde[i*NY+j].p_zfield[movie] = &rde[i*NY+j].field_arg;
break;
}
case (Z_REALPART):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) rde[i*NY+j].p_zfield[movie] = &phi[0][i*NY+j];
break;
}
}
}
@ -938,6 +1003,12 @@ void init_cfield_rde(double *phi[NFIELDS], short int xy_in[NX*NY], int cplot, t_
for (i=0; i<NX; i++) for (j=0; j<NY; j++) rde[i*NY+j].p_cfield[movie] = &rde[i*NY+j].curl;
break;
}
case (Z_VORTICITY_ABS):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) rde[i*NY+j].p_cfield[movie] = &rde[i*NY+j].curl;
break;
}
case (Z_MAXTYPE_RPSLZ):
{
#pragma omp parallel for private(i,j)
@ -968,6 +1039,12 @@ void init_cfield_rde(double *phi[NFIELDS], short int xy_in[NX*NY], int cplot, t_
for (i=0; i<NX; i++) for (j=0; j<NY; j++) rde[i*NY+j].p_cfield[movie] = &rde[i*NY+j].field_arg;
break;
}
case (Z_REALPART):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) rde[i*NY+j].p_cfield[movie] = &phi[0][i*NY+j];
break;
}
}
}
@ -981,6 +1058,7 @@ void compute_cfield_rde(short int xy_in[NX*NY], int cplot, int palette, t_rde rd
for (i=0; i<NX; i++) for (j=0; j<NY; j++)
{
compute_field_color_rde(*rde[i*NY+j].p_cfield[movie], cplot, palette, rde[i*NY+j].rgb);
// if ((cplot == Z_ARGUMENT)||(cplot == Z_REALPART))
if (cplot == Z_ARGUMENT)
{
lum = tanh(SLOPE_SCHROD_LUM*rde[i*NY+j].field_norm);
@ -1019,86 +1097,130 @@ void draw_wave_2d_rde(short int xy_in[NX*NY], t_rde rde[NX*NY])
}
}
glEnd ();
if (DRAW_BILLIARD) draw_billiard();
if (DRAW_BILLIARD) draw_billiard(0, 1.0);
}
void draw_wave_3d_ij_rde(int i, int j, int movie, double *phi[NFIELDS], short int xy_in[NX*NY], t_rde rde[NX*NY],
double potential[NX*NY], int zplot, int cplot, int palette, int fade, double fade_value)
{
int k, l, draw = 1;
double xy[2], xy_screen[2], rgb[3], pos[2], ca, rgb_e[3], rgb_w[3], rgb_n[3], rgb_s[3];
double z, z_sw, z_se, z_nw, z_ne, z_mid, zw, ze, zn, zs, min = 1000.0, max = 0.0;
double xy_sw[2], xy_se[2], xy_nw[2], xy_ne[2], xy_mid[2];
double energy;
if (NON_DIRICHLET_BC)
draw = (xy_in[i*NY+j])&&(xy_in[(i+1)*NY+j])&&(xy_in[i*NY+j+1])&&(xy_in[(i+1)*NY+j+1]);
else draw = (TWOSPEEDS)||(xy_in[i*NY+j]);
if (draw)
{
if (AMPLITUDE_HIGH_RES > 0)
{
z_mid = compute_interpolated_colors_rde(i, j, rde, potential, palette, cplot,
rgb_e, rgb_w, rgb_n, rgb_s, &z_sw, &z_se, &z_nw, &z_ne,
fade, fade_value, movie);
ij_to_xy(i, j, xy_sw);
ij_to_xy(i+1, j, xy_se);
ij_to_xy(i, j+1, xy_nw);
ij_to_xy(i+1, j+1, xy_ne);
for (k=0; k<2; k++) xy_mid[k] = 0.25*(xy_sw[k] + xy_se[k] + xy_nw[k] + xy_ne[k]);
if (AMPLITUDE_HIGH_RES == 1)
{
glBegin(GL_TRIANGLE_FAN);
glColor3f(rgb_w[0], rgb_w[1], rgb_w[2]);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_nw, z_nw);
draw_vertex_xyz(xy_sw, z_sw);
glColor3f(rgb_s[0], rgb_s[1], rgb_s[2]);
draw_vertex_xyz(xy_se, z_se);
glColor3f(rgb_e[0], rgb_e[1], rgb_e[2]);
draw_vertex_xyz(xy_ne, z_ne);
glColor3f(rgb_n[0], rgb_n[1], rgb_n[2]);
draw_vertex_xyz(xy_nw, z_nw);
glEnd ();
}
}
else
{
glColor3f(rde[i*NY+j].rgb[0], rde[i*NY+j].rgb[1], rde[i*NY+j].rgb[2]);
glBegin(GL_TRIANGLE_FAN);
ij_to_xy(i, j, xy);
draw_vertex_xyz(xy, adjust_field(*rde[i*NY+j].p_zfield[movie], potential[i*NY+j]));
ij_to_xy(i+1, j, xy);
draw_vertex_xyz(xy, adjust_field(*rde[(i+1)*NY+j].p_zfield[movie], potential[(i+1)*NY+j]));
ij_to_xy(i+1, j+1, xy);
draw_vertex_xyz(xy, adjust_field(*rde[(i+1)*NY+j+1].p_zfield[movie], potential[(i+1)*NY+j+1]));
ij_to_xy(i, j+1, xy);
draw_vertex_xyz(xy, adjust_field(*rde[i*NY+j+1].p_zfield[movie], potential[i*NY+j+1]));
glEnd ();
}
}
}
void draw_wave_3d_rde(int movie, double *phi[NFIELDS], short int xy_in[NX*NY], t_rde rde[NX*NY],
void draw_wave_3d_rde(int movie, double *phi[NFIELDS], short int xy_in[NX*NY], t_rde rde[NX*NY], double potential[NX*NY],
int zplot, int cplot, int palette, int fade, double fade_value)
{
int i, j, k, l, draw = 1;
double xy[2], xy_screen[2], rgb[3], pos[2], ca, rgb_e[3], rgb_w[3], rgb_n[3], rgb_s[3];
double z_sw, z_se, z_nw, z_ne, z_mid, zw, ze, zn, zs, min = 1000.0, max = 0.0;
double xy_sw[2], xy_se[2], xy_nw[2], xy_ne[2], xy_mid[2];
double energy;
int i, j;
double observer_angle;
blank();
if (DRAW_BILLIARD) draw_billiard_3d(fade, fade_value);
for (i=0; i<NX-2; i++)
for (j=0; j<NY-2; j++)
{
if (NON_DIRICHLET_BC)
draw = (xy_in[i*NY+j])&&(xy_in[(i+1)*NY+j])&&(xy_in[i*NY+j+1])&&(xy_in[(i+1)*NY+j+1]);
else draw = (TWOSPEEDS)||(xy_in[i*NY+j]);
if (draw)
{
if (AMPLITUDE_HIGH_RES > 0)
{
z_mid = compute_interpolated_colors_rde(i, j, rde, palette, cplot,
rgb_e, rgb_w, rgb_n, rgb_s, fade, fade_value, movie);
ij_to_xy(i, j, xy_sw);
ij_to_xy(i+1, j, xy_se);
ij_to_xy(i, j+1, xy_nw);
ij_to_xy(i+1, j+1, xy_ne);
for (k=0; k<2; k++) xy_mid[k] = 0.25*(xy_sw[k] + xy_se[k] + xy_nw[k] + xy_ne[k]);
if (AMPLITUDE_HIGH_RES == 1)
{
glBegin(GL_TRIANGLE_FAN);
glColor3f(rgb_w[0], rgb_w[1], rgb_w[2]);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_nw, *rde[i*NY+j+1].p_zfield[movie]);
draw_vertex_xyz(xy_sw, *rde[i*NY+j].p_zfield[movie]);
glColor3f(rgb_s[0], rgb_s[1], rgb_s[2]);
draw_vertex_xyz(xy_se, *rde[(i+1)*NY+j].p_zfield[movie]);
glColor3f(rgb_e[0], rgb_e[1], rgb_e[2]);
draw_vertex_xyz(xy_ne, *rde[(i+1)*NY+j+1].p_zfield[movie]);
glColor3f(rgb_n[0], rgb_n[1], rgb_n[2]);
draw_vertex_xyz(xy_nw, *rde[i*NY+j+1].p_zfield[movie]);
glEnd ();
}
}
else
{
glColor3f(rde[i*NY+j].rgb[0], rde[i*NY+j].rgb[1], rde[i*NY+j].rgb[2]);
glBegin(GL_TRIANGLE_FAN);
ij_to_xy(i, j, xy);
draw_vertex_xyz(xy, *rde[i*NY+j].p_zfield[movie]);
ij_to_xy(i+1, j, xy);
draw_vertex_xyz(xy, *rde[(i+1)*NY+j].p_zfield[movie]);
ij_to_xy(i+1, j+1, xy);
draw_vertex_xyz(xy, *rde[(i+1)*NY+j+1].p_zfield[movie]);
ij_to_xy(i, j+1, xy);
draw_vertex_xyz(xy, *rde[i*NY+j+1].p_zfield[movie]);
glEnd ();
}
}
}
if (!ROTATE_VIEW)
{
for (i=0; i<NX-2; i++)
for (j=0; j<NY-2; j++)
draw_wave_3d_ij_rde(i, j, movie, phi, xy_in, rde, potential, zplot, cplot, palette, fade, fade_value);
}
else /* draw facets in an order depending on the position of the observer */
{
observer_angle = argument(observer[0], observer[1]);
observer_angle -= 0.5*PID;
if (observer_angle < 0.0) observer_angle += DPI;
printf("Observer_angle = %.3lg\n", observer_angle*360.0/DPI);
if ((observer_angle > 0.0)&&(observer_angle < PID))
{
for (j=0; j<NY-2; j++)
for (i=0; i<NX-2; i++)
draw_wave_3d_ij_rde(i, j, movie, phi, xy_in, rde, potential, zplot, cplot, palette, fade, fade_value);
}
else if (observer_angle < PI)
{
for (i=NX-3; i>0; i--)
for (j=0; j<NY-2; j++)
draw_wave_3d_ij_rde(i, j, movie, phi, xy_in, rde, potential, zplot, cplot, palette, fade, fade_value);
}
else if (observer_angle < 1.5*PI)
{
for (j=NY-3; j>0; j--)
for (i=0; i<NX-2; i++)
draw_wave_3d_ij_rde(i, j, movie, phi, xy_in, rde, potential, zplot, cplot, palette, fade, fade_value);
}
else
{
for (i=0; i<NX-2; i++)
for (j=0; j<NY-2; j++)
draw_wave_3d_ij_rde(i, j, movie, phi, xy_in, rde, potential, zplot, cplot, palette, fade, fade_value);
}
}
if (DRAW_BILLIARD_FRONT) draw_billiard_3d_front(fade, fade_value);
}
void draw_wave_rde(int movie, double *phi[NFIELDS], short int xy_in[NX*NY], t_rde rde[NX*NY],
void draw_wave_rde(int movie, double *phi[NFIELDS], short int xy_in[NX*NY], t_rde rde[NX*NY], double potential[NX*NY],
int zplot, int cplot, int palette, int fade, double fade_value, int refresh)
{
int i, j, k, l, draw = 1;
@ -1112,11 +1234,11 @@ void draw_wave_rde(int movie, double *phi[NFIELDS], short int xy_in[NX*NY], t_rd
// printf("Computing fields\n");
compute_rde_fields(phi, xy_in, zplot, cplot, rde);
// printf("Computed fields\n");
if ((PLOT_3D)&&(SHADE_3D)) compute_light_angle_rde(xy_in, rde, movie);
if ((PLOT_3D)&&(SHADE_3D)) compute_light_angle_rde(xy_in, rde, potential, movie);
}
compute_cfield_rde(xy_in, cplot, palette, rde, fade, fade_value, movie);
if (PLOT_3D) draw_wave_3d_rde(movie, phi, xy_in, rde, zplot, cplot, palette, fade, fade_value);
if (PLOT_3D) draw_wave_3d_rde(movie, phi, xy_in, rde, potential, zplot, cplot, palette, fade, fade_value);
else draw_wave_2d_rde(xy_in, rde);
}

237
sub_wave.c
View File

@ -1461,6 +1461,56 @@ int compute_noisepanel_coordinates(t_vertex polyline[NMAXPOLY])
return(2*n);
}
int compute_noisepanel_rect_coordinates(t_vertex polyline[NMAXPOLY])
/* compute positions of vertices of noise panel */
{
int i, n, even;
double ymax, dy, x, y, x1, pos[2];
/* find the leftmost point */
x = -NPWIDTH;
n = 0;
while (x > XMIN)
{
x -= LAMBDA;
n++;
}
if (n%2 == 0) even = 1;
else even = 0;
i = 0;
while (x <= 0.0)
{
if (even) y = YMIN + 0.1;
else y = YMIN + 0.1 + MU;
x1 = x;
if (x1 > XMAX) x1 = XMAX;
else if (x1 < XMIN) x1 = XMIN;
polyline[i].x = x1;
polyline[i].y = y;
xy_to_pos(x1, y, pos);
polyline[i].posi = pos[0];
polyline[i].posj = pos[1];
x += LAMBDA;
even = 1 - even;
i++;
}
n = i;
for (i=0; i<n; i++)
{
polyline[n+i].x = polyline[n-i-1].x;
polyline[n+i].y = -polyline[n-i-1].y;
polyline[n+i].posi = polyline[n-i-1].posi;
polyline[n+i].posj = NY - polyline[n-i-1].posj;
}
return(2*n);
}
int compute_qrd_coordinates(t_vertex polyline[NMAXPOLY])
/* compute positions of quadratic noise diffuser */
{
@ -1549,6 +1599,10 @@ int init_polyline(int depth, t_vertex polyline[NMAXPOLY])
{
return(compute_noisepanel_coordinates(polyline));
}
case (D_NOISEPANEL_RECT):
{
return(compute_noisepanel_rect_coordinates(polyline));
}
case (D_QRD):
{
return(compute_qrd_coordinates(polyline));
@ -1611,7 +1665,7 @@ int xy_in_billiard(double x, double y)
/* returns 1 if (x,y) represents a point in the billiard */
// double x, y;
{
double l2, r2, r2mu, omega, b, c, angle, z, x1, y1, x2, y2, u, v, u1, v1, dx, dy, width, alpha;
double l2, r2, r2mu, omega, b, c, angle, z, x1, y1, x2, y2, u, v, u1, v1, dx, dy, width, alpha, s, a;
int i, j, k, k1, k2, condition = 0, m;
static int first = 1, nsides;
@ -2047,6 +2101,22 @@ int xy_in_billiard(double x, double y)
else y1 = 0.1 + 2.0*MU - MU*x1/LAMBDA;
return((y > YMIN + y1)&&(y < YMAX - y1));
}
case (D_NOISEPANEL_RECT):
{
x1 = -x;
if (x1 > NPWIDTH)
{
while (x1 > 2.0*LAMBDA) x1 -= 2.0*LAMBDA;
if (x1 <= LAMBDA) y1 = 0.1 + MU*x1/LAMBDA;
else y1 = 0.1 + 2.0*MU - MU*x1/LAMBDA;
return((y > YMIN + y1)&&(y < YMAX - y1)&&(x > XMIN + 0.1));
}
else if (x > NPWIDTH)
{
return((vabs(y) < YMAX - 0.1)&&(x < XMAX - 0.1));
}
else return(0);
}
case (D_QRD):
{
x1 = vabs(x)/LAMBDA;
@ -2055,6 +2125,25 @@ int xy_in_billiard(double x, double y)
y1 = (MU/13.0)*(14.0 - (double)k1);
return ((y > YMIN + y1)&&(y < YMAX - y1));
}
case (D_QRD_ASYM):
{
if (y > 0.0)
{
x1 = vabs(x)/LAMBDA;
k = (int)(x1 + 0.5);
k1 = (k*k) % 13;
y1 = (MU/13.0)*(14.0 - (double)k1);
return (y < YMAX - y1);
}
else
{
x1 = vabs(x + 1.0)/LAMBDA;
k = (int)(x1 + 0.5);
k1 = (k*k) % 17;
y1 = (MU/17.0)*(18.0 - (double)k1);
return (y > YMIN + y1);
}
}
case (D_CIRCLE_SEGMENT):
{
if (vabs(y) > 0.9*vabs(LAMBDA)) return(1);
@ -2076,6 +2165,14 @@ int xy_in_billiard(double x, double y)
else return(1);
}
}
case (D_GROOVE):
{
s = 0.85*LAMBDA;
a = 0.5*LAMBDA;
x1 = x - XMIN - (double)((int)((x - XMIN)/LAMBDA))*LAMBDA;
if (x1 < a) return (y > YMIN + LAMBDA);
else return (y > YMIN + LAMBDA + s);
}
case (D_MENGER):
{
x1 = 0.5*(x+1.0);
@ -2255,14 +2352,22 @@ void tvertex_lineto(t_vertex z)
}
void draw_billiard() /* draws the billiard boundary */
void draw_billiard(int fade, double fade_value) /* draws the billiard boundary */
{
double x0, x, y, x1, y1, dx, dy, phi, r = 0.01, pos[2], pos1[2], alpha, dphi, omega, z, l, width, a, b, c, ymax;
int i, j, k, k1, k2, mr2;
static int first = 1, nsides;
if (BLACK) glColor3f(1.0, 1.0, 1.0);
else glColor3f(0.0, 0.0, 0.0);
if (fade)
{
if (BLACK) glColor3f(fade_value, fade_value, fade_value);
else glColor3f(1.0 - fade_value, 1.0 - fade_value, 1.0 - fade_value);
}
else
{
if (BLACK) glColor3f(1.0, 1.0, 1.0);
else glColor3f(0.0, 0.0, 0.0);
}
glLineWidth(BOUNDARY_WIDTH);
glEnable(GL_LINE_SMOOTH);
@ -2298,7 +2403,8 @@ void draw_billiard() /* draws the billiard boundary */
/* draw foci */
if (FOCI)
{
glColor3f(0.3, 0.3, 0.3);
if (fade) glColor3f(0.3*fade_value, 0.3*fade_value, 0.3*fade_value);
else glColor3f(0.3, 0.3, 0.3);
x0 = sqrt(LAMBDA*LAMBDA-1.0);
glLineWidth(2);
@ -3041,6 +3147,14 @@ void draw_billiard() /* draws the billiard boundary */
glEnd();
break;
}
case (D_NOISEPANEL_RECT):
{
glLineWidth(BOUNDARY_WIDTH);
glBegin(GL_LINE_STRIP);
for (i=0; i<npolyline; i++) tvertex_lineto(polyline[i]);
glEnd();
break;
}
case (D_QRD):
{
glLineWidth(BOUNDARY_WIDTH);
@ -3325,7 +3439,11 @@ void draw_billiard() /* draws the billiard boundary */
glEnd();
break;
}
default:
case (D_NOTHING):
{
break;
}
default:
{
printf("Function draw_billiard not defined for this billiard \n");
}
@ -3544,4 +3662,111 @@ void draw_color_scheme_palette(double x1, double y1, double x2, double y2, int p
draw_rectangle(x1, y1, x2, y2);
}
void draw_color_scheme_palette_fade(double x1, double y1, double x2, double y2, int plot, double min, double max, int palette, int fade, double fade_value)
{
int j, k, ij_botleft[2], ij_topright[2], imin, imax, jmin, jmax;
double y, dy, dy_e, rgb[3], value, lum, amp;
xy_to_ij(x1, y1, ij_botleft);
xy_to_ij(x2, y2, ij_topright);
rgb[0] = 0.0; rgb[1] = 0.0; rgb[2] = 0.0;
erase_area_rgb(0.5*(x1 + x2), x2 - x1, 0.5*(y1 + y2), y2 - y1, rgb);
if (ROTATE_COLOR_SCHEME)
{
jmin = ij_botleft[0];
jmax = ij_topright[0];
imin = ij_botleft[1];
imax = ij_topright[1];
}
else
{
imin = ij_botleft[0];
imax = ij_topright[0];
jmin = ij_botleft[1];
jmax = ij_topright[1];
}
glBegin(GL_QUADS);
dy = (max - min)/((double)(jmax - jmin));
dy_e = max/((double)(jmax - jmin));
for (j = jmin; j < jmax; j++)
{
switch (plot) {
case (P_AMPLITUDE):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_ENERGY):
{
value = dy_e*(double)(j - jmin)*100.0/E_SCALE;
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_MEAN_ENERGY):
{
value = dy_e*(double)(j - jmin)*100.0/E_SCALE;
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_LOG_ENERGY):
{
value = LOG_SHIFT + LOG_SCALE*log(dy_e*(double)(j - jmin)*100.0/E_SCALE);
// if (value <= 0.0) value = 0.0;
color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_LOG_MEAN_ENERGY):
{
value = LOG_SHIFT + LOG_SCALE*log(dy_e*(double)(j - jmin)*100.0/E_SCALE);
// if (value <= 0.0) value = 0.0;
color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_PHASE):
{
value = min + 1.0*dy*(double)(j - jmin);
// lum = (color_amplitude(value, 1.0, 1))*0.5;
// if (lum < 0.0) lum = 0.0;
// hsl_to_rgb(value*360.0, 0.9, 0.5, rgb);
// color_scheme(COLOR_SCHEME, value, 1.0, 1, rgb);
// amp = color_amplitude_linear(value, 1.0, 1);
amp = 0.5*color_amplitude_linear(value, 1.0, 1);
while (amp > 1.0) amp -= 2.0;
while (amp < -1.0) amp += 2.0;
amp_to_rgb(0.5*(1.0 + amp), rgb);
break;
}
}
if (fade) for (k=0; k<3; k++) rgb[k] *= fade_value;
glColor3f(rgb[0], rgb[1], rgb[2]);
if (ROTATE_COLOR_SCHEME)
{
glVertex2i(j, imin);
glVertex2i(j, imax);
glVertex2i(j+1, imax);
glVertex2i(j+1, imin);
}
else
{
glVertex2i(imin, j);
glVertex2i(imax, j);
glVertex2i(imax, j+1);
glVertex2i(imin, j+1);
}
}
glEnd ();
if (fade) glColor3f(fade_value, fade_value, fade_value);
else glColor3f(1.0, 1.0, 1.0);
glLineWidth(BOUNDARY_WIDTH);
draw_rectangle(x1, y1, x2, y2);
}

321
sub_wave_3d.c
View File

@ -21,7 +21,7 @@ void xyz_to_xy(double x, double y, double z, double xy_out[2])
static double n2, m2, d, sm2, sn2, v[3], h[2], plane_ratio = 0.5;
static int first = 1;
if ((first)&&(REPRESENTATION_3D == REP_PROJ_3D))
if (((first)&&(REPRESENTATION_3D == REP_PROJ_3D))||(reset_view))
{
m2 = observer[0]*observer[0] + observer[1]*observer[1];
n2 = m2 + observer[2]*observer[2];
@ -34,8 +34,9 @@ void xyz_to_xy(double x, double y, double z, double xy_out[2])
v[1] = -observer[1]*observer[2]/(sn2*sm2);
v[2] = m2/(sn2*sm2);
first = 0;
printf("h = (%.3lg, %.3lg)\n", h[0], h[1]);
printf("v = (%.3lg, %.3lg, %.3lg)\n", v[0], v[1], v[2]);
reset_view = 0;
// printf("h = (%.3lg, %.3lg)\n", h[0], h[1]);
// printf("v = (%.3lg, %.3lg, %.3lg)\n", v[0], v[1], v[2]);
}
switch (REPRESENTATION_3D) {
@ -170,6 +171,16 @@ void draw_billiard_3d(int fade, double fade_value) /* draws the billiard bo
glEnable(GL_LINE_SMOOTH);
switch (B_DOMAIN) {
case (D_RECTANGLE):
{
glBegin(GL_LINE_LOOP);
draw_vertex_x_y_z(LAMBDA, -1.0, 0.0);
draw_vertex_x_y_z(LAMBDA, 1.0, 0.0);
draw_vertex_x_y_z(-LAMBDA, 1.0, 0.0);
draw_vertex_x_y_z(-LAMBDA, -1.0, 0.0);
glEnd();
break;
}
case (D_ELLIPSE):
{
glBegin(GL_LINE_LOOP);
@ -714,6 +725,10 @@ void draw_billiard_3d(int fade, double fade_value) /* draws the billiard bo
if (polygons[i].active) draw_tpolygon_3d(polygons[i]);
break;
}
case (D_NOTHING):
{
break;
}
default:
{
break;
@ -781,6 +796,15 @@ void draw_billiard_3d_front(int fade, double fade_value)
glEnable(GL_LINE_SMOOTH);
switch (B_DOMAIN) {
case (D_RECTANGLE):
{
glBegin(GL_LINE_STRIP);
draw_vertex_x_y_z(LAMBDA, -1.0, 0.0);
draw_vertex_x_y_z(LAMBDA, 1.0, 0.0);
draw_vertex_x_y_z(-LAMBDA, 1.0, 0.0);
glEnd();
break;
}
case (D_YOUNG):
{
glBegin(GL_LINE_STRIP);
@ -1150,6 +1174,43 @@ void init_speed_dissipation(short int xy_in[NX*NY], double tc[NX*NY], double tcc
}
break;
}
case (IOR_MANDELBROT_LIN):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++){
for (j=0; j<NY; j++){
ij_to_xy(i, j, xy);
x = xy[0];
y = xy[1];
u = 0.0;
v = 0.0;
k = 0;
while ((k<MANDELLEVEL)&&(u*u+v*v < 1000.0*MANDELLIMIT))
{
u1 = u*u - v*v + x;
v = 2.0*u*v + y;
u = u1;
k++;
}
if (k >= MANDELLEVEL)
{
tc[i*NY+j] = COURANT;
tcc[i*NY+j] = courant2;
tgamma[i*NY+j] = GAMMA;
}
else
{
speed = (double)k/(double)MANDELLEVEL;
if (speed < 1.0e-10) speed = 1.0e-10;
else if (speed > 10.0) speed = 10.0;
tcc[i*NY+j] = courant2*speed;
tc[i*NY+j] = COURANT*sqrt(speed);
tgamma[i*NY+j] = GAMMA;
}
}
}
break;
}
default:
{
for (i=0; i<NX; i++){
@ -1324,15 +1385,124 @@ void compute_cfield(short int xy_in[NX*NY], int cplot, int palette, t_wave wave[
}
void draw_wave_3d(int movie, double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], t_wave wave[NX*NY],
int zplot, int cplot, int palette, int fade, double fade_value, int refresh)
void draw_wave_3d_ij(int i, int j, int movie, double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], t_wave wave[NX*NY],
int zplot, int cplot, int palette, int fade, double fade_value)
/* draw wave at simulation grid point (i,j) */
{
int i, j, k, l, draw = 1;
int k, l, draw = 1;
double xy[2], xy2[2], xy_screen[2], rgb[3], pos[2], ca, rgb_e[3], rgb_w[3], rgb_n[3], rgb_s[3];
double z_sw, z_se, z_nw, z_ne, z_mid, zw, ze, zn, zs, min = 1000.0, max = 0.0;
double xy_sw[2], xy_se[2], xy_nw[2], xy_ne[2], xy_mid[2];
double energy, zfloor = -10.0;
if (NON_DIRICHLET_BC)
draw = (xy_in[i*NY+j])&&(xy_in[(i+1)*NY+j])&&(xy_in[i*NY+j+1])&&(xy_in[(i+1)*NY+j+1]);
else draw = (TWOSPEEDS)||(xy_in[i*NY+j]);
if (FLOOR_ZCOORD)
draw = (draw)&&(*wave[i*NY+j].p_zfield[movie] > zfloor)&&(*wave[(i+1)*NY+j].p_zfield[movie] > zfloor)&&(*wave[i*NY+j+1].p_zfield[movie] > zfloor)&&(*wave[(i+1)*NY+j+1].p_zfield[movie] > zfloor);
if (draw)
{
if (AMPLITUDE_HIGH_RES > 0)
{
z_mid = compute_interpolated_colors_wave(i, j, xy_in, wave, palette, cplot,
rgb_e, rgb_w, rgb_n, rgb_s, fade, fade_value, movie);
ij_to_xy(i, j, xy_sw);
ij_to_xy(i+1, j, xy_se);
ij_to_xy(i, j+1, xy_nw);
ij_to_xy(i+1, j+1, xy_ne);
for (k=0; k<2; k++) xy_mid[k] = 0.25*(xy_sw[k] + xy_se[k] + xy_nw[k] + xy_ne[k]);
if (AMPLITUDE_HIGH_RES == 1)
{
glBegin(GL_TRIANGLE_FAN);
glColor3f(rgb_w[0], rgb_w[1], rgb_w[2]);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie]);
draw_vertex_xyz(xy_sw, *wave[i*NY+j].p_zfield[movie]);
glColor3f(rgb_s[0], rgb_s[1], rgb_s[2]);
draw_vertex_xyz(xy_se, *wave[(i+1)*NY+j].p_zfield[movie]);
glColor3f(rgb_e[0], rgb_e[1], rgb_e[2]);
draw_vertex_xyz(xy_ne, *wave[(i+1)*NY+j+1].p_zfield[movie]);
glColor3f(rgb_n[0], rgb_n[1], rgb_n[2]);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie]);
glEnd ();
}
else /* experimental */
{
glColor3f(rgb_w[0], rgb_w[1], rgb_w[2]);
glBegin(GL_TRIANGLE_STRIP);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie]);
draw_vertex_xyz(xy_sw, *wave[i*NY+j].p_zfield[movie]);
glEnd ();
glColor3f(rgb_s[0], rgb_s[1], rgb_s[2]);
glBegin(GL_TRIANGLE_STRIP);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_sw, *wave[i*NY+j].p_zfield[movie]);
draw_vertex_xyz(xy_se, *wave[(i+1)*NY+j].p_zfield[movie]);
glEnd ();
glColor3f(rgb_e[0], rgb_e[1], rgb_e[2]);
glBegin(GL_TRIANGLE_STRIP);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_se, *wave[(i+1)*NY+j].p_zfield[movie]);
draw_vertex_xyz(xy_ne, *wave[(i+1)*NY+j+1].p_zfield[movie]);
glEnd ();
glColor3f(rgb_n[0], rgb_n[1], rgb_n[2]);
glBegin(GL_TRIANGLE_STRIP);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie]);
draw_vertex_xyz(xy_ne, *wave[(i+1)*NY+j+1].p_zfield[movie]);
glEnd ();
}
}
else
{
glColor3f(wave[i*NY+j].rgb[0], wave[i*NY+j].rgb[1], wave[i*NY+j].rgb[2]);
glBegin(GL_TRIANGLE_FAN);
ij_to_xy(i, j, xy);
draw_vertex_xyz(xy, *wave[i*NY+j].p_zfield[movie]);
ij_to_xy(i+1, j, xy);
draw_vertex_xyz(xy, *wave[(i+1)*NY+j].p_zfield[movie]);
ij_to_xy(i+1, j+1, xy);
draw_vertex_xyz(xy, *wave[(i+1)*NY+j+1].p_zfield[movie]);
ij_to_xy(i, j+1, xy);
draw_vertex_xyz(xy, *wave[i*NY+j+1].p_zfield[movie]);
glEnd ();
}
}
if ((DRAW_OUTSIDE_GRAY)&&((!xy_in[i*NY+j])))
{
glColor3f(0.5, 0.5, 0.5);
glBegin(GL_TRIANGLE_FAN);
ij_to_xy(i, j, xy);
draw_vertex_xyz(xy, 0.0);
ij_to_xy(i+1, j, xy);
draw_vertex_xyz(xy, 0.0);
ij_to_xy(i+1, j+1, xy);
draw_vertex_xyz(xy, 0.0);
ij_to_xy(i, j+1, xy);
draw_vertex_xyz(xy, 0.0);
glEnd ();
}
}
void draw_wave_3d(int movie, double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], t_wave wave[NX*NY],
int zplot, int cplot, int palette, int fade, double fade_value, int refresh)
{
int i, j;
double observer_angle;
blank();
if (DRAW_BILLIARD) draw_billiard_3d(fade, fade_value);
@ -1343,111 +1513,44 @@ void draw_wave_3d(int movie, double phi[NX*NY], double psi[NX*NY], short int xy_
compute_cfield(xy_in, cplot, palette, wave, fade, fade_value, movie);
}
for (i=0; i<NX-2; i++)
for (j=0; j<NY-2; j++)
if (!ROTATE_VIEW)
{
for (i=0; i<NX-2; i++)
for (j=0; j<NY-2; j++)
draw_wave_3d_ij(i, j, movie, phi, psi, xy_in, wave, zplot, cplot, palette, fade, fade_value);
}
else /* draw facets in an order depending on the position of the observer */
{
observer_angle = argument(observer[0], observer[1]);
observer_angle -= 0.5*PID;
if (observer_angle < 0.0) observer_angle += DPI;
printf("Observer_angle = %.3lg\n", observer_angle*360.0/DPI);
if ((observer_angle > 0.0)&&(observer_angle < PID))
{
if (NON_DIRICHLET_BC)
draw = (xy_in[i*NY+j])&&(xy_in[(i+1)*NY+j])&&(xy_in[i*NY+j+1])&&(xy_in[(i+1)*NY+j+1]);
else draw = (TWOSPEEDS)||(xy_in[i*NY+j]);
if (FLOOR_ZCOORD)
draw = (draw)&&(*wave[i*NY+j].p_zfield[movie] > zfloor)&&(*wave[(i+1)*NY+j].p_zfield[movie] > zfloor)&&(*wave[i*NY+j+1].p_zfield[movie] > zfloor)&&(*wave[(i+1)*NY+j+1].p_zfield[movie] > zfloor);
if (draw)
{
if (AMPLITUDE_HIGH_RES > 0)
{
z_mid = compute_interpolated_colors_wave(i, j, xy_in, wave, palette, cplot,
rgb_e, rgb_w, rgb_n, rgb_s, fade, fade_value, movie);
ij_to_xy(i, j, xy_sw);
ij_to_xy(i+1, j, xy_se);
ij_to_xy(i, j+1, xy_nw);
ij_to_xy(i+1, j+1, xy_ne);
for (k=0; k<2; k++) xy_mid[k] = 0.25*(xy_sw[k] + xy_se[k] + xy_nw[k] + xy_ne[k]);
if (AMPLITUDE_HIGH_RES == 1)
{
glBegin(GL_TRIANGLE_FAN);
glColor3f(rgb_w[0], rgb_w[1], rgb_w[2]);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie]);
draw_vertex_xyz(xy_sw, *wave[i*NY+j].p_zfield[movie]);
glColor3f(rgb_s[0], rgb_s[1], rgb_s[2]);
draw_vertex_xyz(xy_se, *wave[(i+1)*NY+j].p_zfield[movie]);
glColor3f(rgb_e[0], rgb_e[1], rgb_e[2]);
draw_vertex_xyz(xy_ne, *wave[(i+1)*NY+j+1].p_zfield[movie]);
glColor3f(rgb_n[0], rgb_n[1], rgb_n[2]);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie]);
glEnd ();
}
else /* experimental */
{
glColor3f(rgb_w[0], rgb_w[1], rgb_w[2]);
glBegin(GL_TRIANGLE_STRIP);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie]);
draw_vertex_xyz(xy_sw, *wave[i*NY+j].p_zfield[movie]);
glEnd ();
glColor3f(rgb_s[0], rgb_s[1], rgb_s[2]);
glBegin(GL_TRIANGLE_STRIP);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_sw, *wave[i*NY+j].p_zfield[movie]);
draw_vertex_xyz(xy_se, *wave[(i+1)*NY+j].p_zfield[movie]);
glEnd ();
glColor3f(rgb_e[0], rgb_e[1], rgb_e[2]);
glBegin(GL_TRIANGLE_STRIP);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_se, *wave[(i+1)*NY+j].p_zfield[movie]);
draw_vertex_xyz(xy_ne, *wave[(i+1)*NY+j+1].p_zfield[movie]);
glEnd ();
glColor3f(rgb_n[0], rgb_n[1], rgb_n[2]);
glBegin(GL_TRIANGLE_STRIP);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie]);
draw_vertex_xyz(xy_ne, *wave[(i+1)*NY+j+1].p_zfield[movie]);
glEnd ();
}
}
else
{
glColor3f(wave[i*NY+j].rgb[0], wave[i*NY+j].rgb[1], wave[i*NY+j].rgb[2]);
glBegin(GL_TRIANGLE_FAN);
ij_to_xy(i, j, xy);
draw_vertex_xyz(xy, *wave[i*NY+j].p_zfield[movie]);
ij_to_xy(i+1, j, xy);
draw_vertex_xyz(xy, *wave[(i+1)*NY+j].p_zfield[movie]);
ij_to_xy(i+1, j+1, xy);
draw_vertex_xyz(xy, *wave[(i+1)*NY+j+1].p_zfield[movie]);
ij_to_xy(i, j+1, xy);
draw_vertex_xyz(xy, *wave[i*NY+j+1].p_zfield[movie]);
glEnd ();
}
}
if ((DRAW_OUTSIDE_GRAY)&&((!xy_in[i*NY+j])))
{
glColor3f(0.5, 0.5, 0.5);
glBegin(GL_TRIANGLE_FAN);
ij_to_xy(i, j, xy);
draw_vertex_xyz(xy, 0.0);
ij_to_xy(i+1, j, xy);
draw_vertex_xyz(xy, 0.0);
ij_to_xy(i+1, j+1, xy);
draw_vertex_xyz(xy, 0.0);
ij_to_xy(i, j+1, xy);
draw_vertex_xyz(xy, 0.0);
glEnd ();
}
for (j=0; j<NY-2; j++)
for (i=0; i<NX-2; i++)
draw_wave_3d_ij(i, j, movie, phi, psi, xy_in, wave, zplot, cplot, palette, fade, fade_value);
}
else if (observer_angle < PI)
{
for (i=NX-3; i>0; i--)
for (j=0; j<NY-2; j++)
draw_wave_3d_ij(i, j, movie, phi, psi, xy_in, wave, zplot, cplot, palette, fade, fade_value);
}
else if (observer_angle < 1.5*PI)
{
for (j=NY-3; j>0; j--)
for (i=0; i<NX-2; i++)
draw_wave_3d_ij(i, j, movie, phi, psi, xy_in, wave, zplot, cplot, palette, fade, fade_value);
}
else
{
for (i=0; i<NX-2; i++)
for (j=0; j<NY-2; j++)
draw_wave_3d_ij(i, j, movie, phi, psi, xy_in, wave, zplot, cplot, palette, fade, fade_value);
}
}
if (DRAW_BILLIARD_FRONT) draw_billiard_3d_front(fade, fade_value);
}

71
sub_wave_3d_rde.c
View File

@ -21,7 +21,7 @@ void xyz_to_xy(double x, double y, double z, double xy_out[2])
static double n2, m2, d, sm2, sn2, v[3], h[2], plane_ratio = 0.5;
static int first = 1;
if ((first)&&(REPRESENTATION_3D == REP_PROJ_3D))
if (((first)&&(REPRESENTATION_3D == REP_PROJ_3D))||(reset_view))
{
m2 = observer[0]*observer[0] + observer[1]*observer[1];
n2 = m2 + observer[2]*observer[2];
@ -34,8 +34,9 @@ void xyz_to_xy(double x, double y, double z, double xy_out[2])
v[1] = -observer[1]*observer[2]/(sn2*sm2);
v[2] = m2/(sn2*sm2);
first = 0;
printf("h = (%.3lg, %.3lg)\n", h[0], h[1]);
printf("v = (%.3lg, %.3lg, %.3lg)\n", v[0], v[1], v[2]);
reset_view = 0;
// printf("h = (%.3lg, %.3lg)\n", h[0], h[1]);
// printf("v = (%.3lg, %.3lg, %.3lg)\n", v[0], v[1], v[2]);
}
switch (REPRESENTATION_3D) {
@ -154,14 +155,24 @@ void draw_billiard_3d(int fade, double fade_value) /* draws the billiard bo
glEnable(GL_LINE_SMOOTH);
switch (B_DOMAIN) {
case (D_RECTANGLE):
{
glBegin(GL_LINE_LOOP);
draw_vertex_x_y_z(LAMBDA, -1.0, 0.0);
draw_vertex_x_y_z(LAMBDA, 1.0, 0.0);
draw_vertex_x_y_z(-LAMBDA, 1.0, 0.0);
draw_vertex_x_y_z(-LAMBDA, -1.0, 0.0);
glEnd();
break;
}
case (D_ELLIPSE):
{
glBegin(GL_LINE_LOOP);
for (i=0; i<=NSEG; i++)
{
phi = (double)i*DPI/(double)NSEG;
x = LAMBDA*cos(phi);
y = sin(phi);
x = 1.05*LAMBDA*cos(phi);
y = 1.05*sin(phi);
draw_vertex_x_y_z(x, y, 0.0);
}
glEnd ();
@ -205,6 +216,19 @@ void draw_billiard_3d(int fade, double fade_value) /* draws the billiard bo
draw_circle_3d(0.0, 0.0, LAMBDA, NSEG);
break;
}
case (D_POLYGON):
{
omega = DPI/((double)NPOLY);
glBegin(GL_LINE_LOOP);
for (i=0; i<=NPOLY; i++)
{
x = 1.0075*cos(i*omega + APOLY*PID);
y = 1.0075*sin(i*omega + APOLY*PID);
draw_vertex_x_y_z(x, y, 0.0);
}
glEnd ();
break;
}
case (D_YOUNG):
{
if (FILL_BILLIARD_COMPLEMENT)
@ -281,6 +305,14 @@ void draw_billiard_3d(int fade, double fade_value) /* draws the billiard bo
y = (LAMBDA + 0.01)*sin(phi);
draw_vertex_x_y_z(x, y, 0.0);
}
phi = PI - alpha;
x = 1.0 + (LAMBDA + 0.01)*cos(phi);
y = 0.01 + (LAMBDA + 0.01)*sin(phi);
draw_vertex_x_y_z(x, y, 0.0);
phi = alpha;
x = -1.0 + (LAMBDA + 0.01)*cos(phi);
y = 0.01 + (LAMBDA + 0.01)*sin(phi);
draw_vertex_x_y_z(x, y, 0.0);
for (i=0; i<=NSEG; i++)
{
phi = alpha + (double)i*dphi;
@ -771,6 +803,15 @@ void draw_billiard_3d_front(int fade, double fade_value)
glEnable(GL_LINE_SMOOTH);
switch (B_DOMAIN) {
case (D_RECTANGLE):
{
glBegin(GL_LINE_STRIP);
draw_vertex_x_y_z(LAMBDA, -1.0, 0.0);
draw_vertex_x_y_z(LAMBDA, 1.0, 0.0);
draw_vertex_x_y_z(-LAMBDA, 1.0, 0.0);
glEnd();
break;
}
case (D_STADIUM):
{
glBegin(GL_LINE_STRIP);
@ -791,6 +832,19 @@ void draw_billiard_3d_front(int fade, double fade_value)
glEnd();
break;
}
case (D_POLYGON):
{
omega = DPI/((double)NPOLY);
glBegin(GL_LINE_STRIP);
for (i=0; i<=NPOLY; i++)
{
x = cos(i*omega + APOLY*PID);
y = sin(i*omega + APOLY*PID);
draw_vertex_visible(x, y, 0.0);
}
glEnd ();
break;
}
case (D_YOUNG):
{
glBegin(GL_LINE_STRIP);
@ -1399,9 +1453,16 @@ void draw_color_scheme_palette_3d(double x1, double y1, double x2, double y2, in
case (Z_ARGUMENT):
{
value = dy_phase*(double)(j - jmin);
// hsl_to_rgb_palette(value, 0.9, 0.5, rgb, palette);
color_scheme_palette(C_ONEDIM_LINEAR, palette, value, 1.0, 1, rgb);
break;
}
case (Z_REALPART):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
}
if (fade) for (k=0; k<3; k++) rgb[k] *= fade_value;
glColor3f(rgb[0], rgb[1], rgb[2]);

134
wave_3d.c
View File

@ -50,15 +50,11 @@
// #define WINWIDTH 1920 /* window width */
// #define WINHEIGHT 1000 /* window height */
// // #define NX 900 /* number of grid points on x axis */
// // #define NY 450 /* number of grid points on y axis */
// #define NX 1800 /* number of grid points on x axis */
// #define NY 900 /* number of grid points on y axis */
// // #define NX 1920 /* number of grid points on x axis */
// // #define NY 1000 /* number of grid points on y axis */
//
// // #define XMIN -2.0
// // #define XMAX 2.0 /* x interval */
// #define XMIN -2.2
// #define XMAX 1.8 /* x interval */
// #define YMIN -1.041666667
// #define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
@ -66,13 +62,10 @@
#define WINWIDTH 1280 /* window width */
#define WINHEIGHT 720 /* window height */
#define NX 1280 /* number of grid points on x axis */
#define NY 720 /* number of grid points on y axis */
// #define NX 640 /* number of grid points on x axis */
// #define NY 360 /* number of grid points on y axis */
#define XMIN -2.0
#define XMAX 2.0 /* x interval */
#define YMIN -1.125
@ -82,20 +75,20 @@
/* Choice of the billiard table */
#define B_DOMAIN 44 /* choice of domain shape, see list in global_pdes.c */
#define B_DOMAIN 24 /* choice of domain shape, see list in global_pdes.c */
#define CIRCLE_PATTERN 202 /* pattern of circles or polygons, see list in global_pdes.c */
#define CIRCLE_PATTERN 202 /* pattern of circles or polygons, see list in global_pdes.c */
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
#define VARIABLE_IOR 1 /* set to 1 for a variable index of refraction */
#define IOR 1 /* choice of index of refraction, see list in global_pdes.c */
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependece of IoR on Mandelbrot escape speed */
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
#define LAMBDA 0.2 /* parameter controlling the dimensions of domain */
#define MU 0.5 /* parameter controlling the dimensions of domain */
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
#define MU 0.5 /* parameter controlling the dimensions of domain */
#define NPOLY 3 /* number of sides of polygon */
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
#define MDEPTH 3 /* depth of computation of Menger gasket */
@ -128,11 +121,11 @@
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
#define OMEGA 0.017 /* frequency of periodic excitation */
#define AMPLITUDE 0.9 /* amplitude of periodic excitation */
#define COURANT 0.1 /* Courant number */
#define COURANTB 0.05 /* Courant number in medium B */
#define GAMMA 0.0 /* damping factor in wave equation */
#define GAMMAB 2.0e-5 /* damping factor in wave equation */
#define AMPLITUDE 0.9 /* amplitude of periodic excitation */
#define COURANT 0.08 /* Courant number */
#define COURANTB 0.025 /* Courant number in medium B */
#define GAMMA 0.0 /* damping factor in wave equation */
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
@ -152,8 +145,8 @@
/* Parameters for length and speed of simulation */
#define NSTEPS 1500 /* number of frames of movie */
#define NVID 8 /* number of iterations between images displayed on screen */
#define NSTEPS 2100 /* number of frames of movie */
#define NVID 6 /* number of iterations between images displayed on screen */
#define NSEG 1000 /* number of segments of boundary */
#define INITIAL_TIME 0 /* time after which to start saving frames */
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
@ -165,6 +158,7 @@
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
#define END_FRAMES 100 /* number of still frames at end of movie */
#define FADE 1 /* set to 1 to fade at end of movie */
#define ROTATE_VIEW_WHILE_FADE 0 /* set to 1 to keep rotating viewpoint during fade */
/* Parameters of initial condition */
@ -174,18 +168,17 @@
/* Plot type, see list in global_pdes.c */
#define ZPLOT 108 /* wave height */
#define CPLOT 108 /* color scheme */
#define ZPLOT 103 /* wave height */
#define CPLOT 103 /* color scheme */
#define ZPLOT_B 109
#define ZPLOT_B 109
#define CPLOT_B 109 /* plot type for second movie */
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
#define FLOOR_ZCOORD 0 /* set to 1 to draw only facets with z not too negative */
#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */
#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
@ -201,25 +194,28 @@
#define REP_AXO_3D 0 /* linear projection (axonometry) */
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
#define ROTATE_ANGLE 540.0 /* total angle of rotation during simulation */
/* Color schemes */
#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
#define COLOR_PALETTE_B 11 /* Color palette, see list in global_pdes.c */
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
#define BLACK 1 /* background */
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */
#define SLOPE 2.0 /* sensitivity of color on wave amplitude */
#define VSCALE_AMPLITUDE 0.2 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
#define VSCALE_ENERGY 7.0 /* additional scaling factor for color scheme P_3D_ENERGY */
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
#define E_SCALE 1000.0 /* scaling factor for energy representation */
#define LOG_SCALE 0.25 /* scaling factor for energy log representation */
#define LOG_SHIFT 0.0 /* shift of colors on log scale */
#define LOG_SCALE 0.2 /* scaling factor for energy log representation */
#define LOG_SHIFT -0.5 /* shift of colors on log scale */
#define LOG_ENERGY_FLOOR -1000.0 /* floor value for log of (total) energy */
#define LOG_MEAN_ENERGY_SHIFT 5.0 /* additional shift for log of mean energy */
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
@ -229,12 +225,12 @@
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
#define COLORBAR_RANGE 20.0 /* scale of color scheme bar */
#define COLORBAR_RANGE_B 100.0 /* scale of color scheme bar for 2nd part */
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
#define COLORBAR_RANGE 2.5 /* scale of color scheme bar */
#define COLORBAR_RANGE_B 50.0 /* scale of color scheme bar for 2nd part */
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
@ -248,13 +244,14 @@ double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_
double v_3d[2] = {-0.75, -0.45};
double w_3d[2] = {0.0, 0.015};
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
double observer[3] = {6.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
#define Z_SCALING_FACTOR 0.05 /* overall scaling factor of z axis for REP_PROJ_3D representation */
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
#define YSHIFT_3D 0.15 /* overall y shift for REP_PROJ_3D representation */
#define Z_SCALING_FACTOR 0.05 /* overall scaling factor of z axis for REP_PROJ_3D representation */
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
#include "global_pdes.c" /* constants and global variables */
@ -519,6 +516,28 @@ void draw_color_bar_palette(int plot, double range, int palette, int fade, doubl
draw_color_scheme_palette_3d(XMAX - 1.5*width, YMIN + 0.1, XMAX - 0.5*width, YMAX - 0.1, plot, -range, range, palette, fade, fade_value);
}
void viewpoint_schedule(int i)
/* change position of observer */
{
int j;
double angle, ca, sa;
static double observer_initial[3];
static int first = 1;
if (first)
{
for (j=0; j<3; j++) observer_initial[j] = observer[j];
first = 0;
}
angle = (ROTATE_ANGLE*DPI/360.0)*(double)i/(double)NSTEPS;
ca = cos(angle);
sa = sin(angle);
observer[0] = ca*observer_initial[0] - sa*observer_initial[1];
observer[1] = sa*observer_initial[0] + ca*observer_initial[1];
printf("Angle %.3lg, Observer position (%.3lg, %.3lg, %.3lg)\n", angle, observer[0], observer[1], observer[2]);
}
void animation()
{
@ -589,7 +608,8 @@ void animation()
// init_circular_wave_mod(polyline[85].x, polyline[85].y, phi, psi, xy_in);
init_circular_wave_mod(0.0, 0.0, phi, psi, xy_in);
// add_circular_wave(-1.0, -0.2, -0.4, phi, psi, xy_in);
// init_wave_flat_mod(phi, psi, xy_in);
// add_circular_wave_mod(1.0, 1.0, 0.0, phi, psi, xy_in);
// printf("Wave initialized\n");
@ -634,6 +654,12 @@ void animation()
}
else scale = 1.0;
if (ROTATE_VIEW)
{
viewpoint_schedule(i - INITIAL_TIME);
reset_view = 1;
}
draw_wave_3d(0, phi, psi, xy_in, wave, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
for (j=0; j<NVID; j++)
{
@ -702,6 +728,11 @@ void animation()
if (!FADE) for (i=0; i<MID_FRAMES; i++) save_frame();
else for (i=0; i<MID_FRAMES; i++)
{
if ((ROTATE_VIEW)&&(ROTATE_VIEW_WHILE_FADE))
{
viewpoint_schedule(NSTEPS - INITIAL_TIME + i);
reset_view = 1;
}
fade_value = 1.0 - (double)i/(double)MID_FRAMES;
draw_wave_3d(0, phi, psi, xy_in, wave, ZPLOT, CPLOT, COLOR_PALETTE, 1, fade_value, 0);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, 1, fade_value);
@ -715,6 +746,11 @@ void animation()
if (!FADE) for (i=0; i<END_FRAMES; i++) save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter + i);
else for (i=0; i<END_FRAMES; i++)
{
if ((ROTATE_VIEW)&&(ROTATE_VIEW_WHILE_FADE))
{
viewpoint_schedule(NSTEPS - INITIAL_TIME + i);
reset_view = 1;
}
fade_value = 1.0 - (double)i/(double)END_FRAMES;
draw_wave_3d(1, phi, psi, xy_in, wave, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 1, fade_value, 0);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, 1, fade_value);

113
wave_billiard.c
View File

@ -41,6 +41,7 @@
#include <sys/types.h>
#include <tiffio.h> /* Sam Leffler's libtiff library. */
#include <omp.h>
#include <time.h>
#define MOVIE 0 /* set to 1 to generate movie */
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
@ -49,17 +50,17 @@
#define WINWIDTH 1920 /* window width */
#define WINHEIGHT 1000 /* window height */
// #define NX 1920 /* number of grid points on x axis */
// #define NY 1000 /* number of grid points on y axis */
#define NX 3840 /* number of grid points on x axis */
#define NY 2000 /* number of grid points on y axis */
#define NX 1920 /* number of grid points on x axis */
#define NY 1000 /* number of grid points on y axis */
// #define NX 3840 /* number of grid points on x axis */
// #define NY 2000 /* number of grid points on y axis */
#define XMIN -1.25
#define XMAX 2.75 /* x interval */
#define XMIN -2.0
#define XMAX 2.0 /* x interval */
#define YMIN -1.041666667
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
// #define WINWIDTH 1280 /* window width */
// #define WINHEIGHT 720 /* window height */
@ -69,8 +70,8 @@
// #define NX 2560 /* number of grid points on x axis */
// #define NY 1440 /* number of grid points on y axis */
//
// #define XMIN -1.25
// #define XMAX 2.75 /* x interval */
// #define XMIN -2.0
// #define XMAX 2.0 /* x interval */
// #define YMIN -1.125
// #define YMAX 1.125 /* y interval for 9/16 aspect ratio */
@ -159,6 +160,7 @@
#define SLEEP2 1 /* final sleeping time */
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
#define END_FRAMES 100 /* number of still frames at end of movie */
#define FADE 1 /* set to 1 to fade at end of movie */
/* Parameters of initial condition */
@ -169,7 +171,7 @@
/* Plot type, see list in global_pdes.c */
#define PLOT 0
// #define PLOT 3
// #define PLOT 0
// #define PLOT 1
#define PLOT_B 3 /* plot type for second movie */
@ -491,18 +493,30 @@ void draw_color_bar(int plot, double range)
// else draw_color_scheme(1.7, YMIN + 0.25, 1.9, YMAX - 0.25, plot, -range, range);
}
void draw_color_bar_palette(int plot, double range, int palette)
// void draw_color_bar_palette(int plot, double range, int palette)
// {
// if (ROTATE_COLOR_SCHEME) draw_color_scheme_palette(-1.0, -0.8, XMAX - 0.1, -1.0, plot, -range, range, palette);
// else draw_color_scheme_palette(XMAX - 0.3, YMIN + 0.1, XMAX - 0.1, YMAX - 0.1, plot, -range, range, palette);
// }
void draw_color_bar_palette(int plot, double range, int palette, int fade, double fade_value)
{
if (ROTATE_COLOR_SCHEME) draw_color_scheme_palette(-1.0, -0.8, XMAX - 0.1, -1.0, plot, -range, range, palette);
else draw_color_scheme_palette(XMAX - 0.3, YMIN + 0.1, XMAX - 0.1, YMAX - 0.1, plot, -range, range, palette);
double width = 0.14;
// double width = 0.2;
if (ROTATE_COLOR_SCHEME)
draw_color_scheme_palette_fade(-1.0, -0.8, XMAX - 0.1, -1.0, plot, -range, range, palette, fade, fade_value);
else
draw_color_scheme_palette_fade(XMAX - 1.5*width, YMIN + 0.1, XMAX - 0.5*width, YMAX - 0.1, plot, -range, range, palette, fade, fade_value);
}
void animation()
{
double time, scale, ratio, startleft[2], startright[2], sign, r2, xy[2];
double time, scale, ratio, startleft[2], startright[2], sign, r2, xy[2], fade_value;
double *phi[NX], *psi[NX], *phi_tmp[NX], *psi_tmp[NX], *total_energy[NX], *color_scale[NX];
short int *xy_in[NX];
int i, j, s, sample_left[2], sample_right[2], period = 0;
int i, j, s, sample_left[2], sample_right[2], period = 0, fade;
static int counter = 0;
long int wave_value;
@ -569,6 +583,9 @@ void animation()
// printf("xleft = (%.3f, %.3f) xright = (%.3f, %.3f)\n", xin_left, yin_left, xin_right, yin_right);
init_wave_flat(phi, psi, xy_in);
// init_circular_wave(sqrt(LAMBDA*LAMBDA - 1.0), 0.0, phi, psi, xy_in);
// init_circular_wave(0.0, 0.0, phi, psi, xy_in);
// init_wave_plus(LAMBDA - 0.3*MU, 0.5*MU, phi, psi, xy_in);
// init_wave(LAMBDA - 0.3*MU, 0.5*MU, phi, psi, xy_in);
@ -607,12 +624,12 @@ void animation()
glColor3f(0.0, 0.0, 0.0);
// draw_wave(phi, psi, xy_in, 1.0, 0, PLOT);
if (HIGHRES) draw_wave_highres_palette(2, phi, psi, total_energy, xy_in, 1.0, 0, PLOT, COLOR_PALETTE);
else draw_wave_epalette(phi, psi, total_energy, color_scale, xy_in, 1.0, 0, PLOT, COLOR_PALETTE);
else draw_wave_epalette(phi, psi, total_energy, color_scale, xy_in, 1.0, 0, PLOT, COLOR_PALETTE, 0, 1.0);
draw_billiard();
draw_billiard(0, 1.0);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(PLOT, COLORBAR_RANGE, COLOR_PALETTE);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(PLOT, COLORBAR_RANGE, COLOR_PALETTE, fade, fade_value);
glutSwapBuffers();
@ -634,7 +651,7 @@ void animation()
// draw_wave(phi, psi, xy_in, scale, i, PLOT);
if (HIGHRES) draw_wave_highres_palette(2, phi, psi, total_energy, xy_in, scale, i, PLOT, COLOR_PALETTE);
else draw_wave_epalette(phi, psi, total_energy, color_scale, xy_in, scale, i, PLOT, COLOR_PALETTE);
else draw_wave_epalette(phi, psi, total_energy, color_scale, xy_in, scale, i, PLOT, COLOR_PALETTE, 0, 1.0);
for (j=0; j<NVID; j++)
{
evolve_wave(phi, psi, phi_tmp, psi_tmp, xy_in);
@ -650,9 +667,9 @@ void animation()
// if (i % 10 == 9) oscillate_linear_wave(0.2*scale, 0.15*(double)(i*NVID + j), -1.5, YMIN, -1.5, YMAX, phi, psi);
}
draw_billiard();
draw_billiard(0, 1.0);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(PLOT, COLORBAR_RANGE, COLOR_PALETTE);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(PLOT, COLORBAR_RANGE, COLOR_PALETTE, fade, fade_value);
/* add oscillating waves */
if ((ADD_OSCILLATING_SOURCE)&&(i%OSCILLATING_SOURCE_PERIOD == OSCILLATING_SOURCE_PERIOD - 1))
@ -673,9 +690,9 @@ void animation()
{
// draw_wave(phi, psi, xy_in, scale, i, PLOT_B);
if (HIGHRES) draw_wave_highres_palette(2, phi, psi, total_energy, xy_in, scale, i, PLOT_B, COLOR_PALETTE_B);
else draw_wave_epalette(phi, psi, total_energy, color_scale, xy_in, scale, i, PLOT_B, COLOR_PALETTE_B);
draw_billiard();
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(PLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B);
else draw_wave_epalette(phi, psi, total_energy, color_scale, xy_in, scale, i, PLOT_B, COLOR_PALETTE_B, 0, 1.0);
draw_billiard(0, 1.0);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(PLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, 0, 1.0);
glutSwapBuffers();
save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter);
// save_frame_counter(NSTEPS + 21 + counter);
@ -700,22 +717,42 @@ void animation()
{
// draw_wave(phi, psi, xy_in, scale, i, PLOT);
if (HIGHRES) draw_wave_highres_palette(2, phi, psi, total_energy, xy_in, scale, NSTEPS, PLOT, COLOR_PALETTE);
else draw_wave_epalette(phi, psi, total_energy, color_scale, xy_in, scale, NSTEPS, PLOT, COLOR_PALETTE);
draw_billiard();
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(PLOT, COLORBAR_RANGE, COLOR_PALETTE);
else draw_wave_epalette(phi, psi, total_energy, color_scale, xy_in, scale, NSTEPS, PLOT, COLOR_PALETTE, 0, 1.0);
draw_billiard(0, 1.0);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(PLOT, COLORBAR_RANGE, COLOR_PALETTE, 0, 1.0);
glutSwapBuffers();
}
for (i=0; i<MID_FRAMES; i++) save_frame();
if (!FADE) for (i=0; i<MID_FRAMES; i++) save_frame();
else for (i=0; i<MID_FRAMES; i++)
{
fade_value = 1.0 - (double)i/(double)MID_FRAMES;
if (HIGHRES) draw_wave_highres_palette(2, phi, psi, total_energy, xy_in, scale, NSTEPS, PLOT, COLOR_PALETTE);
else draw_wave_epalette(phi, psi, total_energy, color_scale, xy_in, scale, NSTEPS, PLOT, COLOR_PALETTE, 1, fade_value);
draw_billiard(1, fade_value);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(PLOT, COLORBAR_RANGE, COLOR_PALETTE, 1, fade_value);
glutSwapBuffers();
save_frame_counter(NSTEPS + i + 1);
}
if (DOUBLE_MOVIE)
{
// draw_wave(phi, psi, xy_in, scale, i, PLOT_B);
if (HIGHRES) draw_wave_highres_palette(2, phi, psi, total_energy, xy_in, scale, NSTEPS, PLOT_B, COLOR_PALETTE_B);
else draw_wave_epalette(phi, psi, total_energy, color_scale, xy_in, scale, NSTEPS, PLOT_B, COLOR_PALETTE_B);
draw_billiard();
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(PLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B);
else draw_wave_epalette(phi, psi, total_energy, color_scale, xy_in, scale, NSTEPS, PLOT_B, COLOR_PALETTE_B, 0, 1.0);
draw_billiard(0, 1.0);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(PLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, 0, 1.0);
glutSwapBuffers();
}
for (i=0; i<END_FRAMES; i++) save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter + i);
if (!FADE) for (i=0; i<END_FRAMES; i++) save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter + i);
else for (i=0; i<END_FRAMES; i++)
{
fade_value = 1.0 - (double)i/(double)END_FRAMES;
if (HIGHRES) draw_wave_highres_palette(2, phi, psi, total_energy, xy_in, scale, NSTEPS, PLOT_B, COLOR_PALETTE_B);
else draw_wave_epalette(phi, psi, total_energy, color_scale, xy_in, scale, NSTEPS, PLOT_B, COLOR_PALETTE_B, 1, fade_value);
draw_billiard(1, fade_value);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(PLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, 1, fade_value);
glutSwapBuffers();
save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter + i);
}
s = system("mv wave*.tif tif_wave/");
}
@ -742,6 +779,12 @@ void animation()
void display(void)
{
time_t rawtime;
struct tm * timeinfo;
time(&rawtime);
timeinfo = localtime(&rawtime);
glPushMatrix();
blank();
@ -755,7 +798,11 @@ void display(void)
glPopMatrix();
glutDestroyWindow(glutGetWindow());
printf("Start local time and date: %s", asctime(timeinfo));
time(&rawtime);
timeinfo = localtime(&rawtime);
printf("Current local time and date: %s", asctime(timeinfo));
}

5
wave_common.c
View File

@ -683,10 +683,10 @@ void draw_wave_highres_diss(int size, double *phi[NX], double *psi[NX], double *
void draw_wave_epalette(double *phi[NX], double *psi[NX], double *total_energy[NX], double *color_scale[NX], short int *xy_in[NX],
double scale, int time, int plot, int palette)
double scale, int time, int plot, int palette, int fade, double fade_value)
/* same as draw_wave_e, but with color scheme specification */
{
int i, j, iplus, iminus, jplus, jminus;
int i, j, k, iplus, iminus, jplus, jminus;
double rgb[3], xy[2], x1, y1, x2, y2, velocity, field_value, energy, gradientx2, gradienty2, r2;
static double dtinverse = ((double)NX)/(COURANT*(XMAX-XMIN)), dx = (XMAX-XMIN)/((double)NX);
@ -756,6 +756,7 @@ void draw_wave_epalette(double *phi[NX], double *psi[NX], double *total_energy[N
break;
}
}
if (fade) for (k=0; k<3; k++) rgb[k] *= fade_value;
glColor3f(rgb[0], rgb[1], rgb[2]);
glVertex2i(i, j);