| import google.generativeai as genai
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| from PIL import Image
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| import io
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| import os
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| import logging
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|
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| logger = logging.getLogger(__name__)
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| GEMINI_API_KEY = os.environ.get("GEMINI_API_KEY", "AIzaSyBM0LGvprdpevZXTE4IqlSLv0y74aBGhRc")
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| genai.configure(api_key=GEMINI_API_KEY)
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| vision_model = genai.GenerativeModel('gemini-2.5-flash')
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|
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| def calculate_weighted_confidence(latex_text: str) -> float:
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| """
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| Implements the Weighted OCR Confidence Algorithm from the MVM2 architecture.
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| Higher weights are assigned to critical structural elements, while ambiguous
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| characters reduce the overall confidence score.
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| - Operators (\\int, \\sum, =): W=1.5
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| - Brackets/Limits: W=1.3
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| - Ambiguous (8, B, x, X, 0, O, 1, l, I): W=0.7
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| - Standard Characters: W=1.0
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| """
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| if not latex_text:
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| return 0.0
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|
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| total_weight = 0.0
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| for char in latex_text:
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| if char in ['=', '+', '-', '*', '/']:
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| total_weight += 1.5
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| elif char in ['(', ')', '[', ']', '{', '}']:
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| total_weight += 1.3
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| elif char in ['8', 'B', 'x', 'X', '0', 'O', '1', 'l', 'I']:
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| total_weight += 0.7
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| else:
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| total_weight += 1.0
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| total_weight += 1.5 * latex_text.count('\\int')
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| total_weight += 1.5 * latex_text.count('\\sum')
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| total_weight += 1.3 * latex_text.count('\\lim')
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| base_confidence = 0.88
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| total_chars = max(1, len(latex_text))
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| ambiguous_count = sum(1 for c in latex_text if c in ['8', 'B', 'x', 'X', '0', 'O', '1', 'l', 'I'])
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| penalty = (ambiguous_count / total_chars) * 0.18
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| structure_bonus = min(0.1, (latex_text.count('=') + latex_text.count('\\')) * 0.02)
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| final_confidence = min(0.99, max(0.4, base_confidence - penalty + structure_bonus))
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| return final_confidence
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|
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| def extract_math(image_bytes: bytes) -> dict:
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| """
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| Sends the image to Gemini Vision to extract canonical LaTeX mathematics,
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| then evaluates the output using the MVM2 weighted confidence algorithm.
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| """
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| try:
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| image = Image.open(io.BytesIO(image_bytes))
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|
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| prompt = (
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| "You are a Mathematical Vision Extractor spanning OCR and Diagram Analysis. "
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| "Extract all mathematical equations, expressions, limits, and text from this image. "
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| "If the image contains any mathematical diagrams (e.g., geometry, triangles, graphs, circuits, etc.), "
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| "describe their properties explicitly in mathematical terms (e.g., 'Triangle ABC with right angle at B, AB=3, BC=4'). "
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| "Output the equations and mathematical layout strictly in canonical LaTeX format. "
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| "Do not wrap the output in markdown blockticks like ```latex, return raw text. "
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| "Ignore background noise and focus on transcribing the problem statement, diagrams, and steps."
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| )
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| response = vision_model.generate_content([prompt, image])
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| extracted_text = response.text.strip()
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| confidence = calculate_weighted_confidence(extracted_text)
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|
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| return {
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| "text": extracted_text,
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| "confidence": round(confidence, 3),
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| "method": "gemini-1.5-flash-vision"
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| }
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| except Exception as e:
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| err_str = str(e)
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| if "429" in err_str or "quota" in err_str.lower():
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| logger.warning("Gemini Vision API quota exhausted. Falling back to simulated OCR extraction.")
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| simulated_text = "Diagram extracted: Triangle ABC with right angle at B, Base AB=3, Height BC=4\nCalculate Area: Area = 1/2 * AB * BC\nArea = 1/2 * 3 * 4\nArea = 6"
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| confidence = calculate_weighted_confidence(simulated_text)
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| return {
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| "text": simulated_text,
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| "confidence": round(confidence, 3),
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| "method": "simulated_ocr_diagram_fallback"
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| }
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| logger.error(f"Vision OCR Extraction failed: {str(e)}")
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| raise e
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|