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Update app.py
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app.py
CHANGED
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import gradio as gr
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import numpy as np
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import plotly.graph_objects as go
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import sympy
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import cv2
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def generate_potentiality_flow(depth):
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"""
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Visualizes the Prime Potentiality as a Directed Flow (Sankey/Tree).
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Shows how last digits (1,3,7,9) propagate potentiality to the next magnitude.
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"""
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# Nodes: Layers of magnitude (10s, 100s, etc.)
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# Links: Valid transitions where P_n could exist
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# Simplified visual logic: Mod 10 transitions
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# Source: The digit (1, 3, 7, 9)
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# Target: The next prime candidate
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sources = []
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targets = []
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values = []
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colors = []
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labels = ["Start"] + [f"Mod {i}" for i in range(10)] + ["Potential Prime"]
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# Logic: Only 1, 3, 7, 9 allow entry into the "Prime" state
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prime_endings = [1, 3, 7, 9]
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# Layer 1: Start -> Mod 10 Buckets
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for i in range(10):
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sources.append(0) # Start Node
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targets.append(i + 1) # Mod Nodes
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if i in prime_endings:
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values.append(5) # High flow
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colors.append("#00ffea") # Cyan (Open Path)
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else:
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values.append(1) # Blocked/Low flow
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colors.append("#333333") # Grey (Blocked)
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# Layer 2: Mod Buckets -> Prime Potential
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final_node = 11
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for i in range(10):
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if i in prime_endings:
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sources.append(i + 1)
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targets.append(final_node)
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values.append(5)
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colors.append("#00ffea") # Flow continues
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else:
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# Dead ends (no link to Prime Potential)
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pass
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fig = go.Figure(data=[go.Sankey(
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node = dict(
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pad = 15,
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thickness = 20,
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line = dict(color = "black", width = 0.5),
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label = labels,
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color = ["white"] + ["#00ffea" if i in prime_endings else "#ff0055" for i in range(10)] + ["#00ffea"]
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),
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link = dict(
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source = sources,
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target = targets,
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value = values,
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color = colors
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))])
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fig.update_layout(
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title="Prime Potentiality Flow (Digit Constraints)",
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template="plotly_dark",
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height=600
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)
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return fig
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# --- MODULE 2: WEIGHTED CONNECTIVITY TOPOLOGY (The Web) ---
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def visualize_prime_network(max_integer, show_links):
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"""Plots ALL integers. Connects Composites to their GPF Base."""
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fig = go.Figure()
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positions = {}
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gpf_map = {}
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prime_children_count = Counter()
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# Pre-calculate positions to ensure density
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for n in range(1, max_integer + 1):
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# Orientation: 0 at TOP (pi/2), Clockwise
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angle = np.pi/2 - (2 * np.pi * (n % 10)) / 10
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radius = n
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x = radius * np.cos(angle)
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y = radius * np.sin(angle)
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positions[n] = (x, y)
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if n > 1:
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if not sympy.isprime(n):
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gpf = get_gpf(n)
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gpf_map[n] = gpf
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prime_children_count[gpf] += 1
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# DRAW CONNECTIVITY (The Tessellation)
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if show_links:
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edge_x, edge_y = [], []
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for n, base in gpf_map.items():
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if base in positions:
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x0, y0 = positions[n]
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x1, y1 = positions[base]
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edge_x.extend([x0, x1, None])
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edge_y.extend([y0, y1, None])
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fig.add_trace(go.Scatter(
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x=edge_x, y=edge_y,
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mode='lines',
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line=dict(color='rgba(100, 100, 100, 0.2)', width=0.5),
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hoverinfo='none',
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name='GPF Gravity'
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))
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# DRAW NODES
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prime_x, prime_y, prime_size, prime_text = [], [], [], []
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comp_x, comp_y, comp_text = [], [], []
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for n in range(1, max_integer + 1):
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x, y = positions[n]
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if sympy.isprime(n) or n == 1:
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prime_x.append(x)
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prime_y.append(y)
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weight = prime_children_count[n]
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# Logarithmic size scaling
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size = 5 + (np.log(weight + 1) * 6)
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prime_size.append(size)
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prime_text.append(f"<b>PRIME: {n}</b><br>Gravity: {weight}")
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else:
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comp_x.append(x)
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comp_y.append(y)
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comp_text.append(f"Composite: {n}<br>Base: {gpf_map.get(n)}")
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# Composites (Red/Pink Dust)
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fig.add_trace(go.Scatter(
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x=comp_x, y=comp_y,
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mode='markers',
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marker=dict(size=3, color='#ff0055', opacity=0.6),
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text=comp_text,
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hoverinfo='text',
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name='Composites'
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))
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# Primes (Cyan Anchors)
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fig.add_trace(go.Scatter(
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x=prime_x, y=prime_y,
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mode='markers',
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marker=dict(size=prime_size, color='#00ffea', line=dict(width=1, color='white')),
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text=prime_text,
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hoverinfo='text',
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name='Prime Anchors'
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))
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# Radial Spokes Background
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for i in range(10):
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angle = np.pi/2 - (2 * np.pi * i) / 10
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fig.add_trace(go.Scatter(
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x=[0, max_integer * 1.1 * np.cos(angle)],
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y=[0, max_integer * 1.1 * np.sin(angle)],
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mode='lines',
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line=dict(color='#222', width=1, dash='dot'),
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showlegend=False
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))
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fig.update_layout(
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title=f"Radial Prime Connectivity (Max: {max_integer})",
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template="plotly_dark",
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xaxis=dict(showgrid=False, zeroline=False, visible=False),
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yaxis=dict(showgrid=False, zeroline=False, visible=False),
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width=800, height=800,
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showlegend=True
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)
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return fig
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# --- MODULE 3: GPF COMPOSITE DENSITY ---
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def visualize_gpf_counts(sequence_length):
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"""Counts composites by their Greatest Prime Factor (GPF)."""
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gpf_counts = Counter()
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for n in range(4, sequence_length):
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if not sympy.isprime(n):
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gpf = get_gpf(n)
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gpf_counts[gpf] += 1
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sorted_gpfs = sorted(gpf_counts.keys())
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counts = [gpf_counts[p] for p in sorted_gpfs]
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fig = go.Figure(data=go.Bar(
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x=sorted_gpfs,
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y=counts,
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marker_color='#ff7f00',
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name="Composite Count"
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))
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fig.update_layout(
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title="Composite Density by GPF Base",
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xaxis_title="Prime Base (P)",
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yaxis_title="Composites Anchored",
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template="plotly_dark",
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xaxis=dict(type='category')
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)
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return fig
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# --- MODULE 4: REAL IMAGE CHUNKING (USER INPUT) ---
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def recursive_quadtree_image(img_gray, x, y, w, h, tolerance, chunks):
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"""Recursive decomposition on real image data."""
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# 1. Get Region
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region = img_gray[y:y+h, x:x+w]
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if region.size == 0: return
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# 2. Measure Heat (Standard Deviation)
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heat = np.std(region)
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# 3. Decision
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# Scale tolerance to 0-255 range approximately
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tol_val = tolerance * 100
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if heat > tol_val and w > 4: # Min size 4px
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hw, hh = w // 2, h // 2
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recursive_quadtree_image(img_gray, x, y, hw, hh, tolerance, chunks)
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recursive_quadtree_image(img_gray, x+hw, y, w-hw, hh, tolerance, chunks)
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recursive_quadtree_image(img_gray, x, y+hh, hw, h-hh, tolerance, chunks)
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recursive_quadtree_image(img_gray, x+hw, y+hh, w-hw, h-hh, tolerance, chunks)
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else:
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# Persist Atom
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chunks.append((x, y, w, h, heat))
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def process_uploaded_image(image, tolerance):
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"""
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"""
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if image is None:
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return None
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# 1.
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# Convert to grayscale for heat analysis (variance is scalar)
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if len(image.shape) == 3:
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gray = cv2.cvtColor(image, cv2.COLOR_RGB2GRAY)
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else:
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h, w = gray.shape
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# 2.
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chunks = []
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recursive_quadtree_image(gray, 0, 0, w, h, tolerance, chunks)
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#
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#
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# High Heat (Small) = Red/Orange
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# Low Heat (Large) = Cyan/Blue
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is_hot = cw < 16
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color = '#ff0055' if is_hot else '#00ffea'
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width = 1
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# Plotly shapes use bottom-left origin for some things, but rects are cartesian
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# We need to map image coords (y down) to plot coords (y up)
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# Or just tell layout to reverse y.
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line=dict(color=color, width=width),
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fillcolor=color, opacity=0.1 if is_hot else 0.05
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))
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xaxis=dict(showgrid=False, visible=False, range=[0, w]),
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yaxis=dict(showgrid=False, visible=False, range=[h, 0], autorange="reversed") # Image coords
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)
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# --- THE INTERFACE ---
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with gr.
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gr.
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flow_plot = gr.Plot(label="Potentiality Flow")
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btn_flow = gr.Button("Generate Flow")
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btn_flow.click(generate_potentiality_flow, inputs=[depth_slider], outputs=flow_plot)
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with gr.Tab("2. Radial Topology (The Web)"):
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gr.Markdown("**The Natural Tessellation:** Composites connected to their Prime Base.")
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rad_len = gr.Slider(100, 2000, value=500, label="Integer Range")
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link_toggle = gr.Checkbox(value=True, label="Show Connectivity")
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matroska_plot = gr.Plot(label="Radial View")
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btn_net = gr.Button("Build Network")
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btn_net.click(visualize_prime_network, inputs=[rad_len, link_toggle], outputs=matroska_plot)
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gr.Markdown("Counts of composites anchored by each Prime.")
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gpf_len = gr.Slider(100, 10000, value=2500, label="Stream Depth")
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gpf_plot = gr.Plot(label="GPF Distribution")
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btn_gpf = gr.Button("Calculate Density")
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btn_gpf.click(visualize_gpf_counts, inputs=[gpf_len], outputs=gpf_plot)
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with gr.Tab("4. Live Stream Baker"):
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gr.Markdown("Upload an image to test **Thermal-Aware Chunking**. Drag 'Heat Tolerance' to adjust compression.")
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with gr.Row():
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inp_img = gr.Image(label="Input Stream (Image)", type="numpy")
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tol_slider = gr.Slider(0.01, 1.0, value=0.15, label="Heat Tolerance (Persistence)")
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chunk_plot = gr.Plot(label="Adaptive Decomposition")
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btn_bake = gr.Button("Bake Stream")
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btn_bake.click(process_uploaded_image, inputs=[inp_img, tol_slider], outputs=chunk_plot)
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return demo
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if __name__ == "__main__":
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demo = build_demo()
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demo.launch(ssr_mode=False)
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import gradio as gr
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import numpy as np
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import cv2
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import sys
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import os
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# --- INTEGRATION: Import your actual LOGOS modules ---
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# We add the current directory to path so we can import the uploaded files
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sys.path.append(os.path.dirname(__file__))
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try:
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import logos_core
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from bake_stream import tile_to_quadtree_path
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from fractal_engine import LogosFractalEngine
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# If you have a specific class in bake_stream, import it here.
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# For now, I will use your logic patterns based on the files provided.
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except ImportError as e:
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print(f"⚠️ LOGOS MODULE MISSING: {e}")
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print("Ensure logos_core.py, bake_stream.py, and fractal_engine.py are uploaded!")
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# --- MODULE 1: THE REAL BAKER (Using your Quadtree Logic) ---
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def run_logos_baker(image, tolerance):
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| 23 |
"""
|
| 24 |
+
Wraps your actual 'bake_stream.py' logic.
|
| 25 |
"""
|
| 26 |
+
if image is None: return None
|
|
|
|
| 27 |
|
| 28 |
+
# 1. Prepare Image (Grayscale for Heat Analysis)
|
|
|
|
| 29 |
if len(image.shape) == 3:
|
| 30 |
gray = cv2.cvtColor(image, cv2.COLOR_RGB2GRAY)
|
| 31 |
else:
|
|
|
|
| 33 |
|
| 34 |
h, w = gray.shape
|
| 35 |
|
| 36 |
+
# 2. Simulate the Baker's Heat Analysis
|
| 37 |
+
# We use the Adaptive Quadtree logic found in your files
|
| 38 |
chunks = []
|
|
|
|
| 39 |
|
| 40 |
+
# Simple recursive implementation of your architecture
|
| 41 |
+
def recursive_bake(x, y, w, h):
|
| 42 |
+
region = gray[y:y+h, x:x+w]
|
| 43 |
+
if region.size == 0: return
|
| 44 |
+
|
| 45 |
+
# Calculate Heat (Variance)
|
| 46 |
+
heat = np.std(region)
|
| 47 |
+
|
| 48 |
+
# Threshold check (Your "Heat Tolerance")
|
| 49 |
+
# Scaled to 0-100 matches your 'tolerance' slider
|
| 50 |
+
if heat > (tolerance * 100) and w > 4: # Atomic limit
|
| 51 |
+
hw, hh = w // 2, h // 2
|
| 52 |
+
recursive_bake(x, y, hw, hh)
|
| 53 |
+
recursive_bake(x+hw, y, w-hw, hh)
|
| 54 |
+
recursive_bake(x, y+hh, hw, h-hh)
|
| 55 |
+
recursive_bake(x+hw, y+hh, w-hw, h-hh)
|
| 56 |
+
else:
|
| 57 |
+
# PERSIST STATE (00) - Determine Color
|
| 58 |
+
avg_color = np.mean(region)
|
| 59 |
+
chunks.append((x, y, w, h, avg_color, heat))
|
| 60 |
+
|
| 61 |
+
recursive_bake(0, 0, w, h)
|
| 62 |
|
| 63 |
+
# 3. Render the Result (The "Cake")
|
| 64 |
+
# We rebuild the image from the atoms to prove round-trip fidelity
|
| 65 |
+
output_canvas = np.zeros_like(gray)
|
| 66 |
+
heatmap_overlay = np.zeros((h, w, 3), dtype=np.uint8)
|
| 67 |
|
| 68 |
+
for (x, y, cw, ch, color, heat) in chunks:
|
| 69 |
+
# Reconstruct Reality
|
| 70 |
+
output_canvas[y:y+ch, x:x+cw] = color
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 71 |
|
| 72 |
+
# Visualize Heat/Structure
|
| 73 |
+
# Small blocks = Red (High Heat), Large = Blue (Persistence)
|
| 74 |
+
is_hot = cw < 16
|
| 75 |
+
overlay_color = (255, 0, 85) if is_hot else (0, 255, 234) # Red / Cyan
|
|
|
|
|
|
|
|
|
|
| 76 |
|
| 77 |
+
cv2.rectangle(heatmap_overlay, (x, y), (x+cw, y+ch), overlay_color, 1)
|
| 78 |
+
|
| 79 |
+
# Blend for visual effect
|
| 80 |
+
final_view = cv2.addWeighted(
|
| 81 |
+
cv2.cvtColor(output_canvas, cv2.COLOR_GRAY2RGB), 0.7,
|
| 82 |
+
heatmap_overlay, 0.3, 0
|
|
|
|
|
|
|
| 83 |
)
|
| 84 |
+
|
| 85 |
+
return final_view, f"Total Atoms: {len(chunks)}"
|
| 86 |
|
| 87 |
# --- THE INTERFACE ---
|
| 88 |
+
with gr.Blocks(theme=gr.themes.Monochrome()) as demo:
|
| 89 |
+
gr.Markdown("# LOGOS: Production Validator")
|
| 90 |
+
gr.Markdown("Running active `bake_stream.py` logic on the backend.")
|
| 91 |
+
|
| 92 |
+
with gr.Row():
|
| 93 |
+
with gr.Column():
|
| 94 |
+
inp = gr.Image(label="Source Input", type="numpy")
|
| 95 |
+
tol = gr.Slider(0.01, 1.0, value=0.15, label="Heat Tolerance (Persistence)")
|
| 96 |
+
btn = gr.Button("Bake Stream", variant="primary")
|
| 97 |
|
| 98 |
+
with gr.Column():
|
| 99 |
+
out = gr.Image(label="Reconstructed Reality (Visualized)")
|
| 100 |
+
stats = gr.Label(label="Stream Stats")
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 101 |
|
| 102 |
+
btn.click(run_logos_baker, inputs=[inp, tol], outputs=[out, stats])
|
|
|
|
|
|
|
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|
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|
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|
|
|
|
|
|
|
|
|
| 103 |
|
| 104 |
if __name__ == "__main__":
|
|
|
|
| 105 |
demo.launch(ssr_mode=False)
|