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authorJP Appel <jeanpierre.appel01@gmail.com>2024-04-24 00:10:48 -0400
committerJP Appel <jeanpierre.appel01@gmail.com>2024-04-24 00:10:48 -0400
commit9e5fa12291500d52ccc554519e9692c5f003c63f (patch)
tree96a80b5fbe2cdb4f497c8a0d3e1294a2d0102764 /src/shared-fractals.c
parent9ba9c47a952ce6966b333af579bd39c636080fbc (diff)
improved cli, implemented tricorn and multicorn
Diffstat (limited to 'src/shared-fractals.c')
-rw-r--r--src/shared-fractals.c55
1 files changed, 54 insertions, 1 deletions
diff --git a/src/shared-fractals.c b/src/shared-fractals.c
index c44224a..3390e14 100644
--- a/src/shared-fractals.c
+++ b/src/shared-fractals.c
@@ -34,6 +34,33 @@ void mandelbrot_grid(grid_t* restrict grid, const size_t max_iterations){
}
/*
+ * Computes the number of iterations it takes for a point z0 to become unbounded
+ * if the return value is equal to max_iterations, the point lies within the tricorn set
+ * This is nearly identical to mandelbrot, except for the complex conjugate
+ */
+size_t tricorn(const CBASE complex z0, const size_t max_iterations){
+ CBASE complex z = z0;
+ size_t iteration = 0;
+ while(CABS(z) <= 2 && iteration < max_iterations){
+ z = CONJ(z * z) + z0;
+ iteration++;
+ }
+ return iteration;
+}
+
+/*
+ * Fills a grid with tricorn values
+ */
+void tricorn_grid(grid_t* grid, const size_t max_iterations){
+ const size_t size = grid->size;
+ size_t* data = grid->data;
+
+ #pragma omp parallel for default(none) shared(data, size, grid, max_iterations) schedule(dynamic)
+ for(size_t i = 0; i < size; i++){
+ data[i] = tricorn(grid_to_complex(grid, i), max_iterations);
+ }
+}
+/*
* Computes the number of iterations it takes for a point z0 to diverge
* if the return value is equal to max_iterations, the point lies within the multibrot set
* This should be identical to the version found in serial-fractals.c
@@ -48,7 +75,6 @@ size_t multibrot(const CBASE complex z0, const size_t max_iterations, const doub
return iteration;
}
-
/*
* Fills a grid with multibrot values
*/
@@ -63,6 +89,33 @@ void multibrot_grid(grid_t* restrict grid, const size_t max_iterations, const do
}
/*
+ * Computes the number ofiterations it takes for a point z0 to become unbounded
+ * if the return value is equal to max_iterations, the point lies within the multicorn set
+ * This function is to tricorn as multibrot is to mandelbrot
+ */
+size_t multicorn(const CBASE complex z0, const size_t max_iterations, const double d){
+ CBASE complex z = z0;
+ size_t iteration = 0;
+ while(CABS(z) <= 2 && iteration < max_iterations){
+ z = CONJ(CPOW(z, d)) + z0;
+ iteration++;
+ }
+ return iteration;
+}
+
+/*
+ * Fills a grid with multicorn values
+ */
+void multicorn_grid(grid_t* grid, const size_t max_iterations, const double d){
+ const size_t size = grid->size;
+ size_t* data = grid->data;
+ #pragma omp parallel for default(none) shared(data, size, grid, max_iterations, d) schedule(dynamic)
+ for(size_t i = 0; i < size; i ++){
+ data[i] = multicorn(grid_to_complex(grid, i), max_iterations, d);
+ }
+}
+
+/*
* Computes ????? for a julia set
* implementation of https://en.wikipedia.org/wiki/Julia_set#Pseudocode
*