GeoCode SDK Examples
The following examples demonstrate how to use the GeoCode SDK for various geometric encoding and transformation tasks. Each example includes complete, runnable code that you can adapt for your own applications.
Basic Usage Examples
These examples demonstrate the fundamental features of the GeoCode SDK.
Initializing GeoCode
C/C++Basic initialization of the GeoCode system and creating geometric structures.
#include "geocode.h"
int main() {
// Initialize GeoCode
GeoCode* gc = geocode_init();
// Create octahedron structure
geometric_structure_t* octahedron =
geocode_createStructure(gc, STRUCTURE_OCTAHEDRON);
printf("Created octahedron with %d vertices\n",
octahedron->vertex_count);
// Convert to bit pattern
uint64_t bit_pattern = geocode_convertToBits(gc, octahedron);
printf("Octahedron bit pattern: 0x%016llX\n", bit_pattern);
// Free resources
geocode_freeStructure(gc, octahedron);
geocode_free(gc);
return 0;
}
Geometric Structure Creation
JavaScriptCreating and visualizing different geometric structures.
import { GeoCode, GeometricStructure } from '@dragonfire/geocode-sdk';
// Initialize GeoCode
const geoCode = new GeoCode();
// Create different geometric structures
const structures = [
geoCode.createStructure('hexagon'), // 2D
geoCode.createStructure('octahedron'), // 3D
geoCode.createStructure('24-cell'), // 4D
geoCode.createStructure('120-cell') // 5D
];
// Display information about each structure
structures.forEach(structure => {
console.log(`Structure: ${structure.type}`);
console.log(`Dimension: ${structure.dimension}`);
console.log(`Vertices: ${structure.vertices.length}`);
console.log(`Bit encoding: 0x${structure.bitEncoding.toString(16)}`);
console.log('---');
});
// Visualize the octahedron (if in browser environment)
if (typeof window !== 'undefined') {
const renderer = new GeoCode.Renderer('#canvas-container');
renderer.visualize(structures[1]);
}
Transformation Examples
These examples demonstrate various geometric transformations supported by the GeoCode SDK.
Jitterbug Transformation
PythonImplementing Fuller's jitterbug transformation between geometric forms.
import dragonfire.geocode as gc
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
# Initialize GeoCode
geocode = gc.GeoCode()
# Create octahedron structure
octahedron = geocode.create_structure(gc.STRUCTURE_OCTAHEDRON)
# Visualize jitterbug transformation steps
fig = plt.figure(figsize=(15, 10))
for i, phase in enumerate([0.0, 0.25, 0.5, 0.75, 1.0]):
# Apply jitterbug transformation from octahedron to icosahedron
structure = geocode.apply_jitterbug(
octahedron,
gc.JITTERBUG_ICOSAHEDRON,
phase
)
# Get vertices for visualization
vertices = np.array(structure.get_vertices())
# Create subplot
ax = fig.add_subplot(1, 5, i+1, projection='3d')
# Plot structure
faces = structure.get_faces()
for face in faces:
face_verts = vertices[face]
ax.plot_trisurf(
face_verts[:, 0],
face_verts[:, 1],
face_verts[:, 2],
alpha=0.7
)
ax.set_title(f'Phase: {phase:.2f}')
ax.set_xlim([-1.5, 1.5])
ax.set_ylim([-1.5, 1.5])
ax.set_zlim([-1.5, 1.5])
plt.tight_layout()
plt.show()
Phi Resonance Optimization
C/C++Optimizing data structures using the golden ratio.
#include "geocode.h"
// Demonstrate phi resonance optimization
void demonstratePhiResonance() {
// Initialize GeoCode
GeoCode* gc = geocode_init();
// Original data array
double original_data[] = {1.0, 3.0, 7.0, 12.0, 20.0, 33.0, 54.0};
int data_length = 7;
printf("Original data: ");
for (int i = 0; i < data_length; i++) {
printf("%.1f ", original_data[i]);
}
printf("\n");
// Analyze phi resonance
phi_metrics_t metrics = geocode_analyzePhiResonance(
gc, original_data, data_length);
printf("Original phi resonance: %.3f\n", metrics.resonance);
// Optimize for phi resonance
double* optimized_data = geocode_optimizeForPhiResonance(
gc, original_data, data_length, 0.98, true);
printf("Optimized data: ");
for (int i = 0; i < data_length; i++) {
printf("%.1f ", optimized_data[i]);
}
printf("\n");
// Analyze optimized data
phi_metrics_t optimized_metrics = geocode_analyzePhiResonance(
gc, optimized_data, data_length);
printf("Optimized phi resonance: %.3f\n",
optimized_metrics.resonance);
// Free resources
free(optimized_data);
geocode_free(gc);
}
Dimensional Operations
These examples demonstrate operations across different dimensional spaces.
Dimensional Transformation
C/C++Transforming structures between dimensional spaces.
// Demonstrate dimensional transformation
void demonstrateDimensionalTransformation() {
// Initialize GeoCode
GeoCode* gc = geocode_init();
// Create octahedron structure (3D)
geometric_structure_t* structure =
geocode_createStructure(gc, STRUCTURE_OCTAHEDRON);
printf("Created 3D octahedron structure\n");
printf("Dimension: %d\n", structure->dimension);
printf("Bit pattern: 0x%016llX\n",
geocode_convertToBits(gc, structure));
// Transform to 4D (24-cell)
geocode_transformDimension(gc, structure, 4);
printf("\nTransformed to 4D (24-cell)\n");
printf("Dimension: %d\n", structure->dimension);
printf("Bit pattern: 0x%016llX\n",
geocode_convertToBits(gc, structure));
// Transform to 5D (120-cell)
geocode_transformDimension(gc, structure, 5);
printf("\nTransformed to 5D (120-cell)\n");
printf("Dimension: %d\n", structure->dimension);
printf("Bit pattern: 0x%016llX\n",
geocode_convertToBits(gc, structure));
// Check electron pair limit
bool exceeds_limit = exceedsElectronPairLimit(structure);
printf("\nExceeds 32 electron pair limit: %s\n",
exceeds_limit ? "Yes" : "No");
// Clean up
geocode_freeStructure(gc, structure);
geocode_free(gc);
}
Hyperdimensional Projection
JavaScriptProjecting higher-dimensional structures to lower dimensions for visualization.
import { GeoCode } from '@dragonfire/geocode-sdk';
// Initialize GeoCode
const geoCode = new GeoCode();
// Create a 4D 24-cell
const cell24 = geoCode.createStructure('24-cell');
// Create projections to lower dimensions
const projections = [
geoCode.projectDimension(cell24, 3), // Project to 3D
geoCode.projectDimension(cell24, 2) // Project to 2D
];
// Create visualization in browser
const renderer = new GeoCode.Renderer('#canvas-container');
// Set up controls
const dimensionSelect = document.getElementById('dimension-select');
dimensionSelect.addEventListener('change', (event) => {
const dimension = parseInt(event.target.value);
if (dimension === 4) {
// Animated 4D rotation projection
renderer.visualize4D(cell24);
} else if (dimension === 3) {
// Static 3D projection
renderer.visualize(projections[0]);
} else if (dimension === 2) {
// Static 2D projection
renderer.visualize2D(projections[1]);
}
});
// Initial visualization (3D projection)
renderer.visualize(projections[0]);
System Integration Examples
These examples demonstrate integration with other DragonFire components.
4D Math Integration
C/C++Integrating GeoCode with 4D Mathematics for rotational operations.
#include "geocode.h"
#include "4dmath.h"
// Demonstrate 4D Math integration
void demonstrate4DMathIntegration() {
// Initialize GeoCode
GeoCode* gc = geocode_init();
// Initialize 4D Math
FourDMath* math = fourDMath_init();
// Integrate GeoCode with 4D Math
integrateWith4DMath(gc, math);
// Create 4D structure (24-cell)
geometric_structure_t* cell24 =
geocode_createStructure(gc, STRUCTURE_24_CELL);
printf("Created 4D 24-cell structure\n");
// Create 4D rotation (in X-Y and Z-W planes)
rotation4d_t rotation;
rotation.plane1[0] = 0; // X
rotation.plane1[1] = 1; // Y
rotation.angle1 = M_PI / 4.0; // 45 degrees
rotation.plane2[0] = 2; // Z
rotation.plane2[1] = 3; // W
rotation.angle2 = M_PI / 6.0; // 30 degrees
// Apply 4D rotation to structure
math->rotate_structure(cell24, &rotation);
printf("Applied 4D rotation\n");
// Project down to 3D for visualization
geometric_structure_t* projection =
math->project_to_3d(cell24);
printf("Projected to 3D (vertices: %d)\n",
projection->vertex_count);
// Clean up
geocode_freeStructure(gc, cell24);
geocode_freeStructure(gc, projection);
geocode_free(gc);
fourDMath_free(math);
}
DragonCube Integration
PythonUsing GeoCode with DragonCube for high-performance geometric computing.
import dragonfire.geocode as gc
import dragonfire.dragoncube as dc
# Initialize GeoCode and DragonCube
geocode = gc.GeoCode()
cube = dc.DragonCube()
# Integrate GeoCode with DragonCube
geocode.integrate_with_dragoncube(cube)
# Create an octahedron structure
octahedron = geocode.create_structure(gc.STRUCTURE_OCTAHEDRON)
# Convert to bit pattern
bit_pattern = geocode.convert_to_bits(octahedron)
print(f"Octahedron bit pattern: 0x{bit_pattern:016x}")
# Configure DragonCube for geometric operations
cube.configure_geo_bits(bit_pattern)
print("Configured DragonCube geo bits")
# Create a complex transformation matrix
transform = cube.create_transformation_matrix([
[0.866, 0.5, 0, 0],
[-0.5, 0.866, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1]
])
# Execute transformation on DragonCube hardware
transformed_pattern = cube.execute_geometric_transform(
bit_pattern, transform
)
print(f"Transformed pattern: 0x{transformed_pattern:016x}")
# Convert back to geometric structure
transformed_structure = geocode.create_from_bits(transformed_pattern)
print(f"Resulting structure has {len(transformed_structure.vertices)} vertices")
# Measure performance
import time
start_time = time.time()
# Execute 1 million transformations
for _ in range(1000000):
cube.execute_geometric_transform(bit_pattern, transform)
duration = time.time() - start_time
print(f"Executed 1 million transformations in {duration:.2f} seconds")
Optimization Techniques
These examples demonstrate performance optimization strategies with GeoCode.
Bit-Level Optimizations
C/C++Using bit operations for high-performance geometric transformations.
#include "geocode.h"
#include
// Benchmark bit operations vs. traditional calculations
void benchmarkBitOperations() {
// Initialize GeoCode
GeoCode* gc = geocode_init();
// Enable bit operation optimizations
gc->use_bit_operations = true;
// Create test structure
geometric_structure_t* octahedron =
geocode_createStructure(gc, STRUCTURE_OCTAHEDRON);
// Convert to bit pattern
uint64_t bit_pattern = geocode_convertToBits(gc, octahedron);
// Prepare transformation
double angle = M_PI / 4.0; // 45 degrees
// Benchmark traditional geometric rotation
clock_t start = clock();
int iterations = 1000000;
geometric_structure_t* rotated_structure =
geocode_cloneStructure(gc, octahedron);
for (int i = 0; i < iterations; i++) {
geocode_rotateStructure(gc, rotated_structure, angle);
}
clock_t traditional_time = clock() - start;
// Benchmark bit operations
start = clock();
uint64_t rotated_pattern = bit_pattern;
for (int i = 0; i < iterations; i++) {
rotated_pattern = rotateBitGeometry(rotated_pattern, angle);
}
clock_t bit_time = clock() - start;
// Compare results
printf("Traditional rotation: %.2f seconds\n",
(double)traditional_time / CLOCKS_PER_SEC);
printf("Bit-level rotation: %.2f seconds\n",
(double)bit_time / CLOCKS_PER_SEC);
printf("Speedup factor: %.2fx\n",
(double)traditional_time / bit_time);
// Verify results match
geometric_structure_t* bit_structure =
geocode_createFromBits(gc, rotated_pattern);
bool equivalent = geocode_compareStructures(
gc, rotated_structure, bit_structure);
printf("Results equivalent: %s\n",
equivalent ? "Yes" : "No");
// Clean up
geocode_freeStructure(gc, octahedron);
geocode_freeStructure(gc, rotated_structure);
geocode_freeStructure(gc, bit_structure);
geocode_free(gc);
}
SIMD Acceleration
C++Leveraging SIMD instructions for parallel geometric operations.
#include "geocode.h"
#include // For AVX intrinsics
#include
#include
// Benchmark SIMD acceleration for vector operations
void benchmarkSIMDAcceleration() {
// Initialize GeoCode with SIMD optimizations
GeoCode* gc = geocode_init();
gc->use_simd = true;
// Create large test dataset (100,000 vertices)
const int vertex_count = 100000;
vector3d_t* vertices = new vector3d_t[vertex_count];
// Initialize with random values
for (int i = 0; i < vertex_count; i++) {
vertices[i].x = (double)rand() / RAND_MAX * 2.0 - 1.0;
vertices[i].y = (double)rand() / RAND_MAX * 2.0 - 1.0;
vertices[i].z = (double)rand() / RAND_MAX * 2.0 - 1.0;
}
// Create rotation matrix
double angle = M_PI / 4.0; // 45 degrees
double c = cos(angle);
double s = sin(angle);
// Standard rotation (scalar code)
auto start = std::chrono::high_resolution_clock::now();
vector3d_t* rotated_standard = new vector3d_t[vertex_count];
for (int i = 0; i < vertex_count; i++) {
rotated_standard[i].x = c * vertices[i].x - s * vertices[i].y;
rotated_standard[i].y = s * vertices[i].x + c * vertices[i].y;
rotated_standard[i].z = vertices[i].z;
}
auto standard_time = std::chrono::high_resolution_clock::now() - start;
// SIMD rotation using GeoCode's optimized functions
start = std::chrono::high_resolution_clock::now();
vector3d_t* rotated_simd = new vector3d_t[vertex_count];
gc->simd_functions->rotate_vectors_z(
vertices, rotated_simd, vertex_count, angle);
auto simd_time = std::chrono::high_resolution_clock::now() - start;
// Compare results
std::cout << "Standard rotation: "
<< std::chrono::duration(standard_time).count()
<< " seconds" << std::endl;
std::cout << "SIMD rotation: "
<< std::chrono::duration(simd_time).count()
<< " seconds" << std::endl;
std::cout << "Speedup factor: "
<< std::chrono::duration(standard_time).count() /
std::chrono::duration(simd_time).count()
<< "x" << std::endl;
// Verify results match
double max_diff = 0.0;
for (int i = 0; i < vertex_count; i++) {
double dx = fabs(rotated_standard[i].x - rotated_simd[i].x);
double dy = fabs(rotated_standard[i].y - rotated_simd[i].y);
double dz = fabs(rotated_standard[i].z - rotated_simd[i].z);
max_diff = std::max(max_diff, std::max(dx, std::max(dy, dz)));
}
std::cout << "Maximum difference: " << max_diff << std::endl;
// Clean up
delete[] vertices;
delete[] rotated_standard;
delete[] rotated_simd;
geocode_free(gc);
}