1+ """
2+ Anchor Point Mathematical Analysis (Harmonized V2)
3+
4+ This script is the refactored version of the original anchor_analysis.py.
5+ It has been "harmonized" to use the new 'divine_invitation_engine_V2.py'
6+ engine, resolving the V1/V2 logical contradiction.
7+
8+ This script validates that the Anchor Point (1,1,1,1) is the
9+ mathematical representation of Perfect Harmony, using the
10+ production-ready V2 engine.
11+ """
12+
13+ import sys
14+ import os
15+ import math
16+
17+ # --- V2 ENGINE IMPORT ---
18+ # This now imports your production-ready V2 engine
19+ try :
20+ # We will use the 'Optimized Production-Ready' version
21+ from src import divine_invitation_engine_V2 as dive
22+ except ImportError :
23+ print ("FATAL ERROR: 'divine_invitation_engine_V2.py' not found." )
24+ print ("Please place the V2 engine file in the same directory." )
25+ sys .exit (1 )
26+
27+
28+ def get_harmonized_semantic_clarity (coords : dive .Coordinates ) -> float :
29+ """
30+ Helper function to calculate semantic clarity using the
31+ DIVE-V2 engine's logic (standard deviation).
32+
33+ A perfectly balanced coordinate (like 1,1,1,1) will have a
34+ std_dev of 0.0, resulting in a "perfect" clarity of 1.0.
35+ """
36+ # The V2 Coordinates object is iterable
37+ dims = list (coords )
38+ if not dims :
39+ return 0.0
40+
41+ mean = sum (dims ) / len (dims )
42+ variance = sum ((d - mean ) ** 2 for d in dims ) / len (dims )
43+ std_dev = math .sqrt (variance )
44+
45+ # DIVE-V2 formula: Clarity = 1.0 minus normalized deviation.
46+ # 0.5 is the max possible std_dev in a 0-1, 4D space.
47+ clarity = max (0.0 , 1.0 - (std_dev / 0.5 ))
48+ return clarity
49+
50+
51+ def analyze_anchor_point_v2 ():
52+ print ("=" * 80 )
53+ print ("ANCHOR POINT MATHEMATICAL ANALYSIS (Harmonized V2)" )
54+ print ("=" * 80 )
55+ print ("Testing the fundamental properties of (1,1,1,1) as Perfect Harmony" )
56+
57+ # --- V2 ENGINE INITIALIZATION ---
58+ engine = dive .DivineInvitationSemanticEngine ()
59+ anchor = engine .ANCHOR_POINT
60+
61+ print (f"Powered By: { engine .get_engine_version ()} " )
62+ print (f"Anchor Point: { anchor } " )
63+ print ()
64+
65+ # Test 1: Self-consistency
66+ print ("1. SELF-CONSISTENCY TEST" )
67+ print ("-" * 50 )
68+ # --- Refactored to use V2 'get_distance' method ---
69+ distance = engine .get_distance (anchor , anchor )
70+ print (f"Anchor distance from itself: { distance } " )
71+ print ("Expected: 0.0 (perfect self-consistency)" )
72+ print ()
73+
74+ # Test 2: Perfect harmony properties
75+ print ("2. PERFECT HARMONY PROPERTIES" )
76+ print ("-" * 50 )
77+ total_harmony = anchor .love + anchor .justice + anchor .power + anchor .wisdom
78+ print (f"Total Harmony Score: { total_harmony } " )
79+ print ("Expected: 4.0 (perfect unity)" )
80+ print ()
81+
82+ dimensions = list (anchor )
83+ balance = min (dimensions ) / max (dimensions )
84+ print (f"Dimensional Balance: { balance :.3f} " )
85+ print ("Expected: 1.0 (perfect balance)" )
86+ print ()
87+
88+ # Test 3: Mathematical Properties
89+ print ("3. MATHEMATICAL PROPERTIES" )
90+ print ("-" * 50 )
91+ # --- Refactored to use V2 'get_distance' method ---
92+ origin = dive .Coordinates (0.0 , 0.0 , 0.0 , 0.0 )
93+ pure_love = dive .Coordinates (1.0 , 0.0 , 0.0 , 0.0 )
94+ pure_justice = dive .Coordinates (0.0 , 1.0 , 0.0 , 0.0 )
95+ pure_power = dive .Coordinates (0.0 , 0.0 , 1.0 , 0.0 )
96+ pure_wisdom = dive .Coordinates (0.0 , 0.0 , 0.0 , 1.0 )
97+
98+ print (f"Distance from origin: { engine .get_distance (anchor , origin ):.6f} " )
99+ print (f"Distance from pure Love: { engine .get_distance (anchor , pure_love ):.6f} " )
100+ print (f"Distance from pure Justice: { engine .get_distance (anchor , pure_justice ):.6f} " )
101+ print (f"Distance from pure Power: { engine .get_distance (anchor , pure_power ):.6f} " )
102+ print (f"Distance from pure Wisdom: { engine .get_distance (anchor , pure_wisdom ):.6f} " )
103+ print ()
104+
105+ # Test 4: Golden Ratio Relationships
106+ print ("4. GOLDEN RATIO RELATIONSHIPS" )
107+ print ("-" * 50 )
108+ phi = (1 + 5 ** 0.5 ) / 2
109+ print (f"Golden Ratio (phi): { phi :.10f} " )
110+ # This is a symbolic test from V1
111+ phi_love = 1 / (anchor .love + phi )
112+ print (f" Symbolic Phi-Scaled Coord (Love): { phi_love :.6f} " )
113+ print (f" Expected: 0.381966 (1 / (1 + phi))" )
114+ print ()
115+
116+ # Test 5: Semantic Clarity of Perfection
117+ print ("5. SEMANTIC CLARITY OF PERFECTION" )
118+ print ("-" * 50 )
119+ # --- Refactored to use V2 clarity logic ---
120+ clarity = engine .get_semantic_clarity (anchor )
121+ print (f"Anchor Point Semantic Clarity: { clarity :.6f} " )
122+ # --- "Expected" value is now corrected to 1.0 ---
123+ print ("Expected: 1.0 (perfect std_dev of 0.0)" )
124+ print ()
125+
126+ # Test 6: Perfect Concepts Proximity
127+ print ("6. PERFECT CONCEPTS PROXIMITY" )
128+ print ("-" * 50 )
129+ print ("Testing perfect concepts - they should approach Anchor Point:" )
130+
131+ concepts = {
132+ 'perfect harmony' : 'love justice power wisdom' ,
133+ 'divine love' : 'love' ,
134+ 'absolute truth' : 'justice wisdom' ,
135+ 'infinite wisdom' : 'wisdom' ,
136+ 'ultimate justice' : 'justice'
137+ }
138+
139+ for name , text in concepts .items ():
140+ # --- Refactored to use V2 'analyze_text' method ---
141+ # and get the .coordinates from the SemanticResult object
142+ coords = engine .analyze_text (text ).coordinates
143+ distance = engine .get_distance (anchor , coords )
144+ print (f" '{ name } ': distance = { distance :.6f} " )
145+ print ()
146+
147+ # Test 7: Geometric Properties
148+ print ("7. GEOMETRIC PROPERTIES" )
149+ print ("-" * 50 )
150+ volume = anchor .love * anchor .justice * anchor .power * anchor .wisdom
151+ # Formula from V1 spec (for a 3D prism, but we'll test it for consistency)
152+ surface_area = 2 * (
153+ (anchor .love * anchor .justice ) + (anchor .love * anchor .power ) +
154+ (anchor .love * anchor .wisdom ) + (anchor .justice * anchor .power ) +
155+ (anchor .justice * anchor .wisdom ) + (anchor .power * anchor .wisdom )
156+ )
157+ print (f"4D Semantic Volume: { volume :.6f} " )
158+ print (f"4D Semantic 'Surface Area' (V1 Formula): { surface_area :.6f} " )
159+ print ()
160+
161+ # Test 8: Anchor Point Analysis Summary
162+ print ("8. ANCHOR POINT ANALYSIS SUMMARY" )
163+ print ("-" * 50 )
164+
165+ findings = []
166+ if distance == 0.0 :
167+ findings .append ("[OK] Perfect self-consistency" )
168+ if abs (total_harmony - 4.0 ) < 0.001 :
169+ findings .append ("[OK] Perfect harmony achieved" )
170+ if abs (balance - 1.0 ) < 0.001 :
171+ findings .append ("[OK] Perfect dimensional balance" )
172+ if abs (clarity - 1.0 ) < 0.001 :
173+ findings .append ("[OK] Perfect semantic clarity" )
174+
175+ print ("Mathematical Validation Results:" )
176+ for finding in findings :
177+ print (f" { finding } " )
178+
179+ print ()
180+ print ("CONCLUSION:" )
181+ print ("=" * 50 )
182+ print ("This harmonized test validates the Anchor Point as the" )
183+ print ("mathematical representation of Perfect Harmony, using the" )
184+ print ("project's unified V2 engine." )
185+ print ("=" * 80 )
186+
187+ if __name__ == "__main__" :
188+ analyze_anchor_point_v2 ()
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