sg-series 1.0.0

A comprehensive sequence analyzer with polynomial, geometric, logarithmic, and custom pattern detection.

sg_series

sg_series is a Python sequence analyzer for detecting polynomial, geometric, logarithmic, and custom patterns (Fibonacci, Primes, AGP, Alternating, Harmonic). It can predict the next terms, extend sequences, and visualize patterns.

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Installation

pip install sg_series

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Features

• Polynomial pattern detection
• Geometric pattern detection
• Logarithmic pattern detection
• Custom pattern detection (Fibonacci, Primes, AGP, Alternating, Harmonic)
• Next-term prediction
• Sequence extension
• Sequence visualization
• Gap filling for incomplete sequences

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Usage

from sg_series import *

seq = [1, 2, 3, 4, 5]

# Master analysis
res = analyze(seq, frac=False, format=True)
print(res)

# Single-mode analysis
poly_res = ply_analyze(seq)
geo_res = geo_analyze(seq)
log_res = log_analyze(seq)
cus_res = cus_analyze(seq)

# Predict next term
next_term = best_next(seq)

# Extend sequence
extended_seq = extend(seq, num=3)

# Fill missing gaps
seq_with_gaps = [1, None, 3, None, 5]
filled_seq = fill_gaps(seq_with_gaps)

# Visualization
plot(seq, num=3)
ply_plot(seq)
geo_plot(seq)
log_plot(seq)

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Public Functions Summary

Function	Role
analyze	Master function: runs polynomial, geometric, logarithmic, and custom analyzers.
ply_analyze	Detects polynomial pattern using finite differences.
geo_analyze	Detects geometric patterns using ratio-difference logic.
log_analyze	Detects logarithmic patterns.
cus_analyze	Runs custom pattern detectors (Fibonacci, Primes, AGP, Alternating, Harmonic).
best_next	Chooses the next term based on highest certainty analysis.
extend	Appends predicted terms to a sequence.
fill_gaps	Fills missing values (None) in a sequence.
plot	Overlays polynomial, logarithmic, and geometric plots.
ply_plot	Plots polynomial fit.
geo_plot	Plots geometric ratio fit.
log_plot	Plots logarithmic fit.
help	Returns help dictionary for all public functions.