Calculation Methodology Specifications

Detailed algebraic proofs, reference definitions, and float protections integrated into SeeCalc modules.

1. Floating Point Guards & Division-by-Zero Protection

JavaScript/TypeScript numbers are double-precision binary floats (IEEE 754 standard). Under basic math scripts, dividing by zero returns Infinity or NaN, which would prompt layout crashes or broken numbers.

TypeScript Guard Implementation Preview

if (impressions <= 0) { return { cpm: 0, perImpression: 0 }; } const cpm = (cost / impressions) * 1000;

By enforcing non-zero guards, our solvers gracefully return safe static zeros (0) and surface immediate verification warnings in red text, keeping user calculations clean.

2. Algebraic Multi-Way Reverse Solving Proofs

Traditional marketing tools are strictly one-way (e.g. they only calculate CPM if you know cost and impressions). SeeCalc introduces full algebraic inversion.

A. Base FormulaCPM = (Cost ÷ Imp) × 1000
B. Solve For SpendCost = (Imp × CPM) ÷ 1000
C. Solve For ImpressionsImp = (Cost ÷ CPM) × 1000

These derivations guarantee perfect alignment. Whether modeling top-of-funnel programmatic spend or direct customer acquisitions, all values are perfectly reciprocal.