166 lines
7.3 KiB
C
166 lines
7.3 KiB
C
/* Global variables and parameters for wave_billiard, heat and schrodinger */
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// #include "hsluv.c"
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/* Basic math */
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#define PI 3.141592654
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#define DPI 6.283185307
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#define PID 1.570796327
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/* shape of domain */
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#define D_RECTANGLE 0 /* rectangular domain */
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#define D_ELLIPSE 1 /* elliptical domain */
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#define D_STADIUM 2 /* stadium-shaped domain */
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#define D_SINAI 3 /* Sinai billiard */
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#define D_DIAMOND 4 /* diamond-shaped billiard */
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#define D_TRIANGLE 5 /* triangular billiard */
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#define D_FLAT 6 /* flat interface */
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#define D_ANNULUS 7 /* annulus */
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#define D_POLYGON 8 /* polygon */
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#define D_YOUNG 9 /* Young diffraction slits */
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#define D_GRATING 10 /* diffraction grating */
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#define D_EHRENFEST 11 /* Ehrenfest urn type geometry */
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/* The following 3 types are superseded by D_CIRCLES and can be removed later */
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#define D_DISK_GRID 12 /* grid of disks */
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#define D_DISK_HEX 13 /* haxagonl grid of disks */
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#define D_DISK_PERCOL 14 /* random grid of percolation type */
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#define D_MENGER 15 /* Menger-Sierpinski carpet */
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#define D_JULIA_INT 16 /* interior of Julia set */
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#define D_MENGER_ROTATED 17 /* rotated Menger-Sierpinski carpet */
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#define D_PARABOLA 18 /* parabolic domain */
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#define D_TWO_PARABOLAS 19 /* two facing parabolic antennas */
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#define D_CIRCLES 20 /* several circles */
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#define D_CIRCLES_IN_RECT 201 /* several circles in a rectangle */
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#define D_FOUR_PARABOLAS 31 /* four parabolas with axes in NSEW directions */
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#define D_POLY_PARABOLAS 32 /* polygon with parabolic sides */
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#define D_PENROSE 33 /* Penrose unilluminable room */
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#define D_HYPERBOLA 34 /* one branch of hyperbola */
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#define D_TOKARSKY 35 /* Tokarsky unilluminable room */
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#define D_ISOSPECTRAL 37 /* isospectral billiards */
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#define D_HOMOPHONIC 38 /* homophonic billiards */
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#define D_POLYGONS 40 /* several polygons */
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#define D_VONKOCH 41 /* von Koch snowflake fractal */
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#define NMAXCIRCLES 10000 /* total number of circles/polygons (must be at least NCX*NCY for square grid) */
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#define NMAXPOLY 10000 /* maximal number of vertices of polygonal lines (for von Koch et al) */
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// #define NMAXCIRCLES 10000 /* total number of circles/polygons (must be at least NCX*NCY for square grid) */
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#define C_SQUARE 0 /* square grid of circles */
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#define C_HEX 1 /* hexagonal/triangular grid of circles */
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#define C_RAND_DISPLACED 2 /* randomly displaced square grid */
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#define C_RAND_PERCOL 3 /* random percolation arrangement */
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#define C_RAND_POISSON 4 /* random Poisson point process */
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#define C_CLOAK 5 /* invisibility cloak */
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#define C_CLOAK_A 6 /* first optimized invisibility cloak */
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#define C_LASER 7 /* laser fight in a room of mirrors */
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#define C_POISSON_DISC 8 /* Poisson disc sampling */
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#define C_GOLDEN_MEAN 10 /* pattern based on vertical shifts by golden mean */
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#define C_GOLDEN_SPIRAL 11 /* spiral pattern based on golden mean */
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#define C_SQUARE_HEX 12 /* alternating between square and hexagonal/triangular */
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#define C_ONE 97 /* one single circle, as for Sinai */
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#define C_TWO 98 /* two concentric circles of different type */
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#define C_NOTHING 99 /* no circle at all, for comparisons */
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/* Billiard tables for heat equation */
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#define D_ANNULUS_HEATED 21 /* annulus with different temperatures */
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#define D_MENGER_HEATED 22 /* Menger gasket with different temperatures */
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#define D_MENGER_H_OPEN 23 /* Menger gasket with different temperatures and larger domain */
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#define D_MANDELBROT 24 /* Mandelbrot set */
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#define D_JULIA 25 /* Julia set */
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#define D_MANDELBROT_CIRCLE 26 /* Mandelbrot set with circular conductor */
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#define D_VONKOCH_HEATED 27 /* von Koch snowflake in larger circle */
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/* Boundary conditions */
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#define BC_DIRICHLET 0 /* Dirichlet boundary conditions */
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#define BC_PERIODIC 1 /* periodic boundary conditions */
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#define BC_ABSORBING 2 /* absorbing boundary conditions (beta version) */
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#define BC_VPER_HABS 3 /* vertically periodic and horizontally absorbing boundary conditions */
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#define BC_ABS_REFLECT 4 /* absorbing boundary conditions, except reflecting at y=0, for comparisons */
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// #define BC_OSCILL_ABSORB 5 /* oscillating boundary condition on the left, absorbing on other walls */
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/* For debugging purposes only */
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// #define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
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// #define VMAX 10.0 /* max value of wave amplitude */
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/* Plot types */
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/* For wave equation */
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#define P_AMPLITUDE 0 /* plot amplitude of wave */
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#define P_ENERGY 1 /* plot energy of wave */
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#define P_MIXED 2 /* plot amplitude in upper half, energy in lower half */
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#define P_MEAN_ENERGY 3 /* energy averaged over time */
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/* For Schrodinger equation */
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#define P_MODULE 10 /* plot module of wave function squared */
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#define P_PHASE 11 /* plot phase of wave function */
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#define P_REAL 12 /* plot real part */
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#define P_IMAGINARY 13 /* plot imaginary part */
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/* Color schemes */
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#define C_LUM 0 /* color scheme modifies luminosity (with slow drift of hue) */
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#define C_HUE 1 /* color scheme modifies hue */
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#define C_PHASE 2 /* color scheme shows phase */
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#define C_ONEDIM 3 /* use preset 1d color scheme (for Turbo, Viridis, Magma, Inferno, Plasma) */
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/* Color palettes */
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#define COL_JET 0 /* JET color palette */
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#define COL_HSLUV 1 /* HSLUV color palette (perceptually uniform) */
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#define COL_TURBO 10 /* TURBO color palette (by Anton Mikhailov) */
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#define COL_VIRIDIS 11 /* Viridis color palette */
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#define COL_MAGMA 12 /* Magma color palette */
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#define COL_INFERNO 13 /* Inferno color palette */
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#define COL_PLASMA 14 /* Plasma color palette */
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#define COL_CIVIDIS 15 /* Cividis color palette */
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#define COL_PARULA 16 /* Parula color palette */
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typedef struct
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{
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double xc, yc, radius; /* center and radius of circle */
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short int active; /* circle is active */
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} t_circle;
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typedef struct
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{
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double xc, yc, radius, angle; /* center, radius and angle of polygon */
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int nsides; /* number of sides of polygon */
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short int active; /* polygon is active */
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} t_polygon;
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typedef struct
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{
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double x, y; /* (x,y) coordinates of vertex */
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double posi, posj; /* (i,j) coordinates of vertex */
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} t_vertex;
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// double circlex[NMAXCIRCLES], circley[NMAXCIRCLES], circlerad[NMAXCIRCLES]; /* position and radius of circular scatterers */
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// short int circleactive[NMAXCIRCLES]; /* tells which circular scatters are active */
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int ncircles = NMAXCIRCLES; /* actual number of circles, can be decreased e.g. for random patterns */
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int npolyline = NMAXPOLY; /* actual length of polyline */
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t_circle circles[NMAXCIRCLES]; /* circular scatterers */
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t_polygon polygons[NMAXCIRCLES]; /* polygonal scatterers */
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t_vertex polyline[NMAXPOLY]; /* vertices of polygonal line */
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double julia_x = -0.5, julia_y = 0.5; /* parameters for Julia sets */
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// double julia_x = 0.33267, julia_y = 0.06395; /* parameters for Julia sets */
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// double julia_x = 0.37468, julia_y = 0.21115; /* parameters for Julia sets */
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