Dual-Pass Parsing Pipeline: How SolveCalc Eliminates Precision Drift
Most digital calculators evaluate mathematical expressions iteratively as keys are pressed, which causes operator precedence failures and binary floating-point errors (IEEE-754 precision drift). SolveCalc was designed from the ground up with a holistic Abstract Syntax Tree (AST) architecture.
1. Lexical Tokenization & Implicit Multiplication
The input parser streams characters, resolves implicit multiplication (e.g. 2(x+3)
→ 2 × (x+3) and 4π → 4 × π), and
identifies scientific constants without ambiguous syntax errors.
2. Shunting-Yard AST Precedence Tree
Expressions are structured into a syntax tree adhering strictly to PEMDAS/BODMAS rules. Powers and unary negatives are resolved with high-priority precedence before multiplicative or additive operations.
3. Exact Rational Fraction Evaluation
Rational calculations evaluate as exact integer ratios (numerator/denominator),
preventing annoying floating rounding anomalies like 0.1 + 0.2 = 0.30000000000000004.
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