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"""
Enterprise Time-Series Forecasting Engine
Features:
- Linear regression-based forecasting
- Moving average analysis
- Confidence interval calculation
- Trend detection
- Seasonal pattern recognition
Usage:
from mcp.forecast_engine import ForecastEngine
engine = ForecastEngine()
result = engine.forecast(data, periods=7)
"""
import numpy as np
from typing import Dict, List, Any, Optional, Tuple
from datetime import datetime, timedelta
from dataclasses import dataclass
import json
@dataclass
class ForecastResult:
"""Result from forecast engine"""
forecast: List[Dict[str, Any]]
lower_bound: List[float]
upper_bound: List[float]
trend: str
trend_slope: float
confidence_score: float
seasonality: Optional[str]
insights: List[str]
class ForecastEngine:
"""
Enterprise Forecast Engine using statistical methods.
Supports:
- Linear trend forecasting
- Moving average forecasting
- Exponential smoothing
- Confidence intervals
"""
def __init__(self):
self.min_data_points = 2
self.default_confidence = 0.95
def forecast(
self,
data: List[Dict[str, Any]],
date_column: str = "date",
value_column: str = "value",
periods: int = 7,
confidence: float = 0.95
) -> ForecastResult:
"""
Generate forecast for time-series data.
Args:
data: List of dicts with date and value columns
date_column: Name of date column
value_column: Name of value column
periods: Number of periods to forecast
confidence: Confidence level (0-1)
Returns:
ForecastResult with predictions and analysis
"""
if len(data) < self.min_data_points:
# Attempt to proceed if we have at least 1 point (for basic plotting)
if len(data) == 0:
return self._empty_result("Insufficient data for forecasting")
# Extract values
values = []
dates = []
for item in data:
try:
val = float(item.get(value_column, 0))
values.append(val)
dates.append(item.get(date_column, ""))
except (ValueError, TypeError):
continue
if len(values) == 0:
return self._empty_result("No valid numeric values found")
# Calculate trend
trend, slope = self._calculate_trend(values)
# Generate forecast using linear regression
# If too few points, assume flat or simple average
if len(values) < 2:
forecast_values = [values[0]] * periods
else:
forecast_values = self._linear_forecast(values, periods)
# Calculate confidence intervals
lower, upper = self._calculate_confidence_intervals(
values, forecast_values, confidence
)
# Detect seasonality
seasonality = self._detect_seasonality(values)
# Generate insights
insights = self._generate_insights(values, forecast_values, trend, slope)
# Calculate confidence score
conf_score = self._calculate_confidence_score(values, len(data))
# Build forecast with dates
forecast_data = self._build_forecast_output(
dates, values, forecast_values, lower, upper, periods
)
return ForecastResult(
forecast=forecast_data,
lower_bound=lower,
upper_bound=upper,
trend=trend,
trend_slope=slope,
confidence_score=conf_score,
seasonality=seasonality,
insights=insights
)
def _calculate_trend(self, values: List[float]) -> Tuple[str, float]:
"""Calculate trend direction and slope."""
n = len(values)
if n < 2:
return "stable", 0.0
x = np.arange(n)
y = np.array(values)
# Linear regression
slope = (n * np.sum(x * y) - np.sum(x) * np.sum(y)) / \
(n * np.sum(x**2) - np.sum(x)**2)
# Determine trend
avg_value = np.mean(values)
relative_slope = slope / avg_value if avg_value != 0 else 0
if relative_slope > 0.02:
trend = "strongly_increasing"
elif relative_slope > 0.005:
trend = "increasing"
elif relative_slope < -0.02:
trend = "strongly_decreasing"
elif relative_slope < -0.005:
trend = "decreasing"
else:
trend = "stable"
return trend, float(slope)
def _linear_forecast(self, values: List[float], periods: int) -> List[float]:
"""Generate forecast using linear regression."""
n = len(values)
x = np.arange(n)
y = np.array(values)
# Calculate slope and intercept
slope = (n * np.sum(x * y) - np.sum(x) * np.sum(y)) / \
(n * np.sum(x**2) - np.sum(x)**2)
intercept = (np.sum(y) - slope * np.sum(x)) / n
# Generate future values
forecast = []
for i in range(periods):
pred = intercept + slope * (n + i)
# Apply moving average smoothing
if len(values) >= 3:
ma = np.mean(values[-3:])
pred = pred * 0.7 + ma * 0.3
forecast.append(max(0, pred)) # Ensure non-negative
return forecast
def _calculate_confidence_intervals(
self,
historical: List[float],
forecast: List[float],
confidence: float
) -> Tuple[List[float], List[float]]:
"""Calculate confidence intervals for forecast."""
# Calculate historical standard deviation
std = np.std(historical) if len(historical) > 1 else 0
# Z-score for confidence level
z_scores = {0.90: 1.645, 0.95: 1.96, 0.99: 2.576}
z = z_scores.get(confidence, 1.96)
# Expand intervals for future periods
lower = []
upper = []
for i, val in enumerate(forecast):
expansion = 1 + (i * 0.1) # Wider intervals for further predictions
margin = z * std * expansion
lower.append(max(0, val - margin))
upper.append(val + margin)
return lower, upper
def _detect_seasonality(self, values: List[float]) -> Optional[str]:
"""Detect seasonality patterns."""
if len(values) < 7:
return None
# Check for weekly pattern (7-day cycle)
if len(values) >= 14:
weekly_diff = []
for i in range(7, len(values)):
diff = abs(values[i] - values[i-7])
weekly_diff.append(diff)
avg_weekly_var = np.mean(weekly_diff)
overall_var = np.std(values)
if avg_weekly_var < overall_var * 0.5:
return "weekly"
# Check for monthly pattern
if len(values) >= 60:
return "monthly"
return None
def _generate_insights(
self,
historical: List[float],
forecast: List[float],
trend: str,
slope: float
) -> List[str]:
"""Generate human-readable insights."""
insights = []
# Trend insight
trend_labels = {
"strongly_increasing": "Revenue is growing rapidly",
"increasing": "Revenue shows steady growth",
"stable": "Revenue is relatively stable",
"decreasing": "Revenue is declining",
"strongly_decreasing": "Revenue is declining significantly"
}
insights.append(trend_labels.get(trend, "Trend analysis complete"))
# Forecast summary
if forecast:
avg_forecast = np.mean(forecast)
avg_historical = np.mean(historical)
change_pct = ((avg_forecast - avg_historical) / avg_historical * 100) \
if avg_historical != 0 else 0
if change_pct > 5:
insights.append(f"Projected {change_pct:.1f}% increase in coming period")
elif change_pct < -5:
insights.append(f"Projected {abs(change_pct):.1f}% decrease in coming period")
else:
insights.append("Forecast shows minimal change from current levels")
# Volatility insight
if len(historical) > 3:
cv = np.std(historical) / np.mean(historical) if np.mean(historical) != 0 else 0
if cv > 0.3:
insights.append("⚠️ High volatility detected - predictions may vary")
elif cv < 0.1:
insights.append("✓ Low volatility - high prediction confidence")
return insights
def _calculate_confidence_score(self, values: List[float], n_points: int) -> float:
"""Calculate overall confidence score (0-100)."""
# Base score on data points
data_score = min(n_points / 30 * 50, 50) # Max 50 from data quantity
# Score based on stability
if len(values) > 1:
cv = np.std(values) / np.mean(values) if np.mean(values) != 0 else 1
stability_score = max(0, 50 * (1 - cv))
else:
stability_score = 0
return min(round(data_score + stability_score, 1), 100)
def _build_forecast_output(
self,
dates: List[str],
historical: List[float],
forecast: List[float],
lower: List[float],
upper: List[float],
periods: int
) -> List[Dict[str, Any]]:
"""Build structured forecast output."""
output = []
# Add historical data
for i, (date, value) in enumerate(zip(dates, historical)):
output.append({
"period": i + 1,
"date": date,
"value": round(value, 2),
"type": "historical"
})
# Add forecast data
last_date = dates[-1] if dates else ""
for i, (val, low, up) in enumerate(zip(forecast, lower, upper)):
output.append({
"period": len(historical) + i + 1,
"date": f"Forecast +{i+1}",
"value": round(val, 2),
"lower": round(low, 2),
"upper": round(up, 2),
"type": "forecast"
})
return output
def _empty_result(self, message: str) -> ForecastResult:
"""Return empty result with message."""
return ForecastResult(
forecast=[],
lower_bound=[],
upper_bound=[],
trend="unknown",
trend_slope=0.0,
confidence_score=0.0,
seasonality=None,
insights=[message]
)
def forecast_from_dataframe(df, date_col: str, value_col: str, periods: int = 7) -> Dict:
"""
Convenience function to forecast from a pandas DataFrame.
Args:
df: pandas DataFrame
date_col: Name of date column
value_col: Name of value column
periods: Number of periods to forecast
Returns:
Dict with forecast results
"""
try:
# Convert DataFrame to list of dicts
data = df[[date_col, value_col]].rename(
columns={date_col: "date", value_col: "value"}
).to_dict('records')
engine = ForecastEngine()
result = engine.forecast(data, periods=periods)
return {
"success": True,
"forecast": result.forecast,
"lower_bound": result.lower_bound,
"upper_bound": result.upper_bound,
"trend": result.trend,
"confidence": f"{result.confidence_score}%",
"insights": result.insights
}
except Exception as e:
return {
"success": False,
"error": str(e),
"forecast": [],
"insights": [f"Forecast error: {str(e)}"]
}
# Quick test
if __name__ == "__main__":
test_data = [
{"date": "2024-01-01", "value": 10000},
{"date": "2024-01-02", "value": 10500},
{"date": "2024-01-03", "value": 10200},
{"date": "2024-01-04", "value": 11000},
{"date": "2024-01-05", "value": 11200},
{"date": "2024-01-06", "value": 10800},
{"date": "2024-01-07", "value": 11500},
]
engine = ForecastEngine()
result = engine.forecast(test_data, periods=7)
print("Forecast Results:")
print(f"Trend: {result.trend}")
print(f"Confidence: {result.confidence_score}%")
print(f"Insights: {result.insights}")
print(f"Forecast: {result.forecast[-3:]}")
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