Random Number Entropy Visualization via Chord Brightness Distribution
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Solution Overview
Problem
Existing methods for evaluating the randomness of random numbers require significant computational resources and do not provide a visually perceivable result, making it challenging to simplify computation while visually presenting randomness.
Innovation Solution
An electronic device that processes a sequence of bits by dividing them into binary numbers, mapping these numbers to points on a circle, and plotting chords between successive points, where chord brightness represents the frequency of transitions, thereby visualizing entropy.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional evaluation methods (collision estimation, t-Tuple estimation, longest repeated substring estimation) are used to evaluate randomness, then measurement precision of entropy is improved, but device complexity and computational resources increase significantly
Solution Approach 1:
The patent replaces complex computational evaluation methods with a visual display system that uses graphical patterns (circles, chords, arcs) to represent random number sequences. Instead of performing heavy computations for entropy estimation, the system maps binary numbers to geometric positions and uses visual patterns to indicate randomness quality, substituting mechanical computation with a visual representation system.
Solution Approach 2:
The patent employs color or brightness variations in the display to indicate different levels of randomness or entropy. By changing visual properties (color intensity, brightness) based on the randomness evaluation, the system provides intuitive feedback about the quality of random numbers without requiring complex computational displays.
2Measurement precision
If traditional evaluation methods are used to assess randomness quality, then measurement precision is improved, but ease of operation deteriorates due to lack of visual feedback
Solution Approach 1:
The patent transforms one-dimensional numerical entropy data into two-dimensional visual patterns displayed on a screen. By mapping random number sequences to geometric arrangements (circles with chords and arcs), the system adds a spatial dimension to the evaluation, making it easier for users to perceive and understand randomness quality at a glance.
Solution Approach 2:
The patent uses visual properties such as color intensity, brightness, or hue variations to encode randomness quality information. Different colors or brightness levels represent different entropy levels or randomness qualities, providing immediate visual feedback that is easy to interpret without requiring detailed numerical analysis.
3Reliability
If comprehensive entropy evaluation is performed, then reliability of random number assessment is improved, but loss of time increases due to extensive computation
Solution Approach 1:
The patent performs preliminary mapping of binary numbers to geometric positions and pre-establishes the visual representation rules. When evaluating random numbers, the system can quickly generate visual patterns without performing heavy computations during the actual evaluation, as the mapping framework is already in place.
Solution Approach 2:
The patent substitutes time-consuming computational entropy estimation with rapid visual pattern generation. By using geometric representations that can be rendered quickly on display devices, the system maintains reliable assessment capabilities while dramatically reducing the time required for evaluation.
Data Source
AI summary
An electronic device includes a processor, a memory, and at least one program. The at least one program are stored in the memory and are executed by the processor. The at least one program includes instructions for receiving the sequence of bits, dividing the sequence of bits into binary numbers having a same number of bits, determining a corresponding point for each binary number on a circumference of a circle according to a central angle positively correlated to a value of each binary numbers, plotting chords connecting corresponding points of two succeeding binary numbers in the circle in the display image, and displaying the display image to show a brightness of each chord correlated to a number of times the chord is plotted, wherein the brightness of each chord forms a brightness distribution signifying an entropy of the first sequence of bits.