feat(core): initial release of financial calculation package with decimal precision
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This commit is contained in:
Juergen Kunz
2025-07-29 09:20:06 +00:00
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- name: Set up npmci
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run: npmci npm prepare
- name: Audit production dependencies
run: npmci command npm audit --audit-level=high --only=prod
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- name: Audit development dependencies
run: npmci command npm audit --audit-level=high --only=dev
continue-on-error: true
test:
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runs-on: ubuntu-latest
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steps:
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# Dependencies
node_modules/
# Build outputs
dist_*/
dist/
*.tsbuildinfo
# Test outputs
.nogit/
# IDE
.idea/
*.swp
*.swo
*~
# OS
.DS_Store
Thumbs.db
# Logs
*.log
npm-debug.log*
yarn-debug.log*
yarn-error.log*
pnpm-debug.log*
# Environment
.env
.env.local
.env.*.local
# Coverage
coverage/
.nyc_output/
# Temporary files
tmp/
temp/

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{
"typescript.tsdk": "node_modules/typescript/lib",
"typescript.enablePromptUseWorkspaceTsdk": true,
"editor.formatOnSave": true,
"editor.codeActionsOnSave": {
"source.fixAll": "explicit"
},
"files.exclude": {
"node_modules": true,
"dist_*": true,
".nogit": true
}
}

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# Changelog
## [1.0.0] - 2025-07-29
### Added
- Initial release of @fin.cx/calculation
- Calculator class with high-precision decimal arithmetic
- Financial class with time value of money calculations (PV, FV, NPV, IRR, XIRR)
- Interest class with simple, compound, and continuous interest calculations
- Amortization class with loan schedules and payment analysis
- Currency class with conversion, formatting, and monetary operations
- Comprehensive test suite
- Full TypeScript support
- CI/CD workflows for automated testing and publishing

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MIT License
Copyright (c) 2025 fin.cx
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

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{
"npmGlobalTools": [],
"npmAccessLevel": "public"
}

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{
"name": "@fin.cx/calculation",
"version": "1.0.0",
"private": false,
"description": "A unified, cross-platform financial calculation package with decimal precision for accurate financial computations",
"main": "dist_ts/index.js",
"type": "module",
"scripts": {
"test": "(tstest test/ --verbose)",
"build": "(tsbuild tsfolders --allowimplicitany && tsbundle npm)",
"buildDocs": "tsdoc"
},
"repository": {
"type": "git",
"url": "code.foss.global/fin.cx/calculation.git"
},
"keywords": [
"financial",
"calculation",
"finance",
"interest",
"amortization",
"npv",
"irr",
"decimal",
"precision"
],
"author": "fin.cx",
"license": "MIT",
"bugs": {
"url": "https://github.com/fin-cx/calculation/issues"
},
"homepage": "https://github.com/fin-cx/calculation#readme",
"devDependencies": {
"@git.zone/tsbuild": "^2.6.4",
"@git.zone/tsbundle": "^2.4.0",
"@git.zone/tsrun": "^1.3.3",
"@git.zone/tstest": "^2.3.1",
"@push.rocks/tapbundle": "^6.0.3",
"@types/node": "^22.7.4"
},
"dependencies": {
"@push.rocks/smartpromise": "^4.2.3",
"decimal.js": "^10.4.3"
},
"packageManager": "pnpm@10.11.0"
}

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packages:
- '.'

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# Project Hints
## Architecture
This project follows the @push.rocks/smartstate pattern with the following structure:
- TypeScript source files in `ts/` directory
- Test files in `test/` directory
- Built files output to `dist_ts/` directory
- ES modules configuration (`"type": "module"`)
## Key Design Decisions
1. **Decimal Precision**: Uses decimal.js library to avoid JavaScript floating-point errors
2. **Class Hierarchy**: Calculator is the base class, other classes extend it for specific domains
3. **Naming Convention**: Files follow pattern `calculation.classes.*.ts`
4. **Plugin Pattern**: Dependencies are imported through `calculation.plugins.ts`
## Development Workflow
1. Run tests: `pnpm test`
2. Build project: `pnpm build`
3. Type checking: `tsbuild check test/**/* --skiplibcheck`
4. Testing uses @git.zone/tstest with expect from @push.rocks/tapbundle
## Financial Calculations
- All monetary calculations use decimal arithmetic for accuracy
- Interest calculations support multiple compounding frequencies
- Financial functions follow standard financial formulas
- Currency class handles formatting based on locale conventions
## Testing Strategy
- Cross-platform tests in `test.both.ts`
- Tests cover accuracy, edge cases, and error handling
- Precision tests ensure decimal accuracy is maintained

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# @fin.cx/calculation
> Professional financial calculations with decimal precision for JavaScript and TypeScript
[![npm version](https://img.shields.io/npm/v/@fin.cx/calculation.svg)](https://www.npmjs.com/package/@fin.cx/calculation)
[![TypeScript](https://img.shields.io/badge/TypeScript-Ready-blue.svg)](https://www.typescriptlang.org/)
[![License: MIT](https://img.shields.io/badge/License-MIT-yellow.svg)](https://opensource.org/licenses/MIT)
## 🎯 Why @fin.cx/calculation?
JavaScript's floating-point arithmetic can lead to precision errors in financial calculations:
```javascript
// JavaScript floating point problem
0.1 + 0.2 // 0.30000000000000004 ❌
// With @fin.cx/calculation
calculator.add(0.1, 0.2) // 0.3 ✅
```
This package provides **accurate financial calculations** using decimal arithmetic, making it perfect for:
- 🏦 Banking applications
- 💰 Investment analysis tools
- 📊 Financial reporting systems
- 🏢 Accounting software
- 💳 Payment processing systems
- 📈 Trading platforms
## ✨ Features
- **🔢 Decimal Precision**: Built on decimal.js for accurate calculations
- **📐 Comprehensive Functions**: Time value of money, interest calculations, loan amortization, and more
- **💱 Currency Support**: Built-in currency formatting and conversion
- **🌍 Cross-Platform**: Works in Node.js and browsers
- **📘 TypeScript First**: Full type safety and IntelliSense support
- **🧪 Battle-Tested**: Extensive test suite ensures reliability
- **🚀 Zero Dependencies**: Only depends on decimal.js for core functionality
## 📦 Installation
```bash
npm install @fin.cx/calculation
# or
yarn add @fin.cx/calculation
# or
pnpm add @fin.cx/calculation
```
## 🚀 Quick Start
```typescript
import { Calculator, Financial, Currency } from '@fin.cx/calculation';
// Basic calculations with precision
const calc = new Calculator();
const result = calc.add(0.1, 0.2); // 0.3 (exact)
// Financial calculations
const financial = new Financial();
const payment = financial.payment(200000, 0.045/12, 360); // Monthly mortgage payment
// Currency operations
const currency = new Currency();
currency.setExchangeRate('USD', 'EUR', 0.85);
const euros = currency.convert(100, 'USD', 'EUR'); // Convert $100 to €85
```
## 📚 Core Classes
### Calculator - Precision Arithmetic
```typescript
const calc = new Calculator({ precision: 10 });
// Basic operations
calc.add(10.5, 20.3); // 30.8
calc.subtract(100, 45.5); // 54.5
calc.multiply(15, 3.5); // 52.5
calc.divide(100, 3); // 33.3333333333...
// Advanced operations
calc.power(2, 8); // 256
calc.sqrt(16); // 4
calc.ln(Math.E); // 1
calc.round(3.14159, 2); // 3.14
```
### Financial - Time Value of Money
```typescript
const financial = new Financial();
// Present Value - How much is $10,000 in 5 years worth today at 5% interest?
const pv = financial.presentValue(10000, 0.05, 5); // $7,835.26
// Future Value - How much will $5,000 be worth in 10 years at 7% interest?
const fv = financial.futureValue(5000, 0.07, 10); // $9,835.76
// Loan Payment - Monthly payment for $200,000 mortgage at 4.5% for 30 years
const pmt = financial.payment(200000, 0.045/12, 360); // $1,013.37
// Net Present Value - Is this investment worth it?
const cashFlows = [-50000, 15000, 15000, 15000, 15000, 20000];
const npv = financial.npv(0.1, cashFlows); // $7,946.11 (positive = good investment)
// Internal Rate of Return - What's the return rate?
const irr = financial.irr(cashFlows); // 16.89%
```
### Interest - Various Interest Calculations
```typescript
const interest = new Interest();
// Simple Interest - $1,000 at 5% for 2 years
const simple = interest.simple(1000, 0.05, 2); // $100
// Compound Interest - $1,000 at 5% for 2 years, compounded monthly
const compound = interest.compound(1000, 0.05, 2, 'monthly'); // $104.94
// Effective Annual Rate - What's the real rate with monthly compounding?
const ear = interest.effectiveAnnualRate(0.12, 'monthly'); // 12.68%
// Rule of 72 - How long to double your money at 8%?
const years = interest.ruleOf72(8); // ~9 years
```
### Amortization - Loan Schedules
```typescript
const amortization = new Amortization();
// Generate complete loan schedule
const schedule = amortization.schedule({
principal: 250000,
annualRate: 0.045,
termYears: 30,
extraPayment: 200 // Optional extra monthly payment
});
// Analyze the schedule
console.log(`Monthly Payment: $${schedule.monthlyPayment.toFixed(2)}`);
console.log(`Total Interest: $${schedule.totalInterest.toFixed(2)}`);
console.log(`Payoff in ${schedule.payments.length} months`);
// Each payment includes:
schedule.payments[0]; // {
// period: 1,
// payment: 1266.71,
// principal: 329.21,
// interest: 937.50,
// balance: 249670.79,
// cumulativePrincipal: 329.21,
// cumulativeInterest: 937.50
// }
```
### Currency - Money Formatting & Conversion
```typescript
const currency = new Currency();
// Set exchange rates
currency.setExchangeRates([
{ from: 'USD', to: 'EUR', rate: 0.85 },
{ from: 'USD', to: 'GBP', rate: 0.73 },
{ from: 'USD', to: 'JPY', rate: 110 }
]);
// Convert currencies
const euros = currency.convert(1000, 'USD', 'EUR'); // €850
// Format currency for display
currency.format(1234.56, 'USD'); // "$1,234.56"
currency.format(1234.56, 'EUR'); // "€1.234,56"
currency.format(1234.56, 'JPY'); // "¥1,235"
// Money operations (ensures same currency)
const total = currency.addMoney(
currency.money(100, 'USD'),
currency.money(50, 'USD')
); // $150
// Percentage calculations
currency.percentage(200, 15); // 30 (15% of 200)
currency.discount(100, 20); // 80 (20% off)
currency.withTax(100, 0.08); // 108 (8% tax)
```
## Precision and Accuracy
All calculations use decimal.js internally to avoid floating-point precision errors common in JavaScript:
```typescript
// JavaScript floating point error
console.log(0.1 + 0.2); // 0.30000000000000004
// @fin.cx/calculation precision
const calc = new Calculator();
const result = calc.add(0.1, 0.2);
console.log(calc.toString(result)); // "0.3"
```
## API Reference
### Calculator Options
```typescript
interface ICalculatorOptions {
precision?: number; // Decimal places (default: 10)
rounding?: number; // Rounding mode (default: ROUND_HALF_UP)
}
```
### Compounding Frequencies
- `'annually'` - Once per year
- `'semiannually'` - Twice per year
- `'quarterly'` - Four times per year
- `'monthly'` - Twelve times per year
- `'weekly'` - 52 times per year
- `'daily'` - 365 times per year
- `'continuous'` - Continuous compounding
### Currency Options
```typescript
interface ICurrencyOptions {
code: string;
symbol?: string;
decimals?: number;
thousandsSeparator?: string;
decimalSeparator?: string;
symbolPosition?: 'before' | 'after';
spaceBetweenSymbolAndValue?: boolean;
}
```
## 🏗️ Real-World Examples
### Mortgage Calculator
```typescript
import { Financial, Amortization } from '@fin.cx/calculation';
function calculateMortgage(homePrice: number, downPayment: number, rate: number, years: number) {
const financial = new Financial();
const amortization = new Amortization();
const loanAmount = homePrice - downPayment;
const monthlyRate = rate / 12;
const months = years * 12;
const monthlyPayment = financial.payment(loanAmount, monthlyRate, months);
const totalPaid = monthlyPayment.mul(months);
const totalInterest = totalPaid.sub(loanAmount);
const schedule = amortization.schedule({
principal: loanAmount,
annualRate: rate,
termYears: years
});
return {
monthlyPayment,
totalInterest,
schedule
};
}
```
### Investment Analysis
```typescript
import { Financial } from '@fin.cx/calculation';
function analyzeInvestment(initialInvestment: number, cashFlows: number[], discountRate: number) {
const financial = new Financial();
// Add initial investment as negative cash flow
const allCashFlows = [-initialInvestment, ...cashFlows];
const npv = financial.npv(discountRate, allCashFlows);
const irr = financial.irr(allCashFlows);
const paybackPeriod = calculatePaybackPeriod(allCashFlows);
return {
npv: npv.toFixed(2),
irr: (irr.mul(100)).toFixed(2) + '%',
profitable: npv.greaterThan(0),
paybackPeriod
};
}
```
### Multi-Currency Invoice System
```typescript
import { Currency } from '@fin.cx/calculation';
class InvoiceSystem {
private currency = new Currency();
constructor() {
// Set up exchange rates (in production, fetch from API)
this.currency.setExchangeRates([
{ from: 'USD', to: 'EUR', rate: 0.85 },
{ from: 'USD', to: 'GBP', rate: 0.73 }
]);
}
calculateInvoice(items: Array<{price: number, quantity: number}>, currency: string, taxRate: number) {
const subtotal = items.reduce((sum, item) =>
this.currency.add(sum, this.currency.multiply(item.price, item.quantity)),
0
);
const tax = this.currency.tax(subtotal, taxRate);
const total = this.currency.add(subtotal, tax);
return {
subtotal: this.currency.format(subtotal, currency),
tax: this.currency.format(tax, currency),
total: this.currency.format(total, currency),
// Provide total in other currencies
totalUSD: this.currency.format(this.currency.convert(total, currency, 'USD'), 'USD'),
totalEUR: this.currency.format(this.currency.convert(total, currency, 'EUR'), 'EUR')
};
}
}
```
## 🔧 Configuration
### Calculator Precision
```typescript
// Default precision is 10 decimal places
const calc = new Calculator();
// Custom precision for specific use cases
const highPrecision = new Calculator({ precision: 20 });
const moneyCalc = new Calculator({ precision: 4, rounding: Decimal.ROUND_HALF_UP });
```
### Custom Currencies
```typescript
const currency = new Currency();
// Register a custom currency
currency.registerCurrency({
code: 'BTC',
symbol: '₿',
decimals: 8,
thousandsSeparator: ',',
decimalSeparator: '.',
symbolPosition: 'before'
});
// Use it like any other currency
currency.format(0.00042, 'BTC'); // "₿0.00042000"
```
## 🧪 Testing
The package includes comprehensive tests for all calculations:
```bash
# Run tests
npm test
# Run tests with coverage
npm run test:coverage
```
## 🤝 Contributing
Contributions are welcome! Please feel free to submit a Pull Request. For major changes, please open an issue first to discuss what you would like to change.
1. Fork the repository
2. Create your feature branch (`git checkout -b feature/AmazingFeature`)
3. Commit your changes (`git commit -m 'Add some AmazingFeature'`)
4. Push to the branch (`git push origin feature/AmazingFeature`)
5. Open a Pull Request
## 📄 License
This project is licensed under the MIT License - see the [LICENSE](license.md) file for details.
## 🙏 Acknowledgments
- Built on top of [decimal.js](https://github.com/MikeMcl/decimal.js/) for decimal arithmetic
- Inspired by financial calculation needs in modern web applications
- Thanks to all contributors who have helped shape this library
## 📞 Support
- 📧 Email: support@fin.cx
- 🐛 Issues: [GitHub Issues](https://github.com/fin-cx/calculation/issues)
- 💬 Discussions: [GitHub Discussions](https://github.com/fin-cx/calculation/discussions)
---
Made with ❤️ by the fin.cx team

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import { expect, tap } from '@git.zone/tstest/tapbundle';
import * as calculation from '../ts/index.js';
tap.test('Calculator class should perform basic arithmetic with decimal precision', async () => {
const calc = new calculation.Calculator({ precision: 10 });
// Test addition
const sum = calc.add(0.1, 0.2);
expect(calc.toString(sum)).toEqual('0.3');
// Test subtraction
const diff = calc.subtract(1, 0.9);
expect(calc.toString(diff)).toEqual('0.1');
// Test multiplication
const product = calc.multiply(0.1, 0.2);
expect(calc.toString(product)).toEqual('0.02');
// Test division
const quotient = calc.divide(1, 3);
expect(calc.toString(quotient)).toEqual('0.3333333333');
// Test power
const power = calc.power(2, 3);
expect(calc.toNumber(power)).toEqual(8);
// Test square root
const sqrt = calc.sqrt(9);
expect(calc.toNumber(sqrt)).toEqual(3);
// Test rounding
const rounded = calc.round(3.14159, 2);
expect(calc.toString(rounded)).toEqual('3.14');
});
tap.test('Financial class should calculate time value of money correctly', async () => {
const financial = new calculation.Financial();
// Test Present Value
const pv = financial.presentValue(1000, 0.05, 5);
expect(financial.round(pv, 2).toString()).toEqual('783.53');
// Test Future Value
const fv = financial.futureValue(1000, 0.05, 5);
expect(financial.round(fv, 2).toString()).toEqual('1276.28');
// Test Payment
const pmt = financial.payment(10000, 0.05/12, 60);
expect(financial.round(pmt, 2).toString()).toEqual('188.71');
// Test NPV
const cashFlows = [-1000, 300, 300, 300, 300, 300];
const npv = financial.npv(0.1, cashFlows);
expect(financial.round(npv, 2).toString()).toEqual('137.24');
// Test periods calculation
const periods = financial.periods(1000, 2000, 0.08);
expect(financial.round(periods, 2).toString()).toEqual('9.01');
// Test rate calculation
const rate = financial.rate(1000, 2000, 10);
expect(financial.round(rate, 4).toString()).toEqual('0.0718');
});
tap.test('Financial class should calculate IRR correctly', async () => {
const financial = new calculation.Financial();
// Test basic IRR
const cashFlows = [-1000, 200, 300, 400, 500];
const irr = financial.irr(cashFlows);
expect(financial.round(irr, 4).toString()).toEqual('0.1283');
// Test MIRR
const mirr = financial.mirr(cashFlows, 0.1, 0.12);
expect(financial.round(mirr, 4).toString()).toEqual('0.1256');
});
tap.test('Interest class should calculate different types of interest', async () => {
const interest = new calculation.Interest();
// Test simple interest
const simple = interest.simple(1000, 0.05, 2);
expect(interest.toString(simple)).toEqual('100');
// Test simple interest amount
const simpleAmount = interest.simpleAmount(1000, 0.05, 2);
expect(interest.toString(simpleAmount)).toEqual('1100');
// Test compound interest annually
const compound = interest.compound(1000, 0.05, 2, 'annually');
expect(interest.round(compound, 2).toString()).toEqual('102.5');
// Test compound interest monthly
const compoundMonthly = interest.compound(1000, 0.12, 1, 'monthly');
expect(interest.round(compoundMonthly, 2).toString()).toEqual('126.83');
// Test continuous compound interest
const continuous = interest.compound(1000, 0.05, 2, 'continuous');
expect(interest.round(continuous, 2).toString()).toEqual('105.17');
// Test effective annual rate
const ear = interest.effectiveAnnualRate(0.12, 'monthly');
expect(interest.round(ear, 4).toString()).toEqual('0.1268');
// Test real rate
const realRate = interest.realRate(0.08, 0.03);
expect(interest.round(realRate, 4).toString()).toEqual('0.0485');
// Test Rule of 72
const rule72 = interest.ruleOf72(8);
expect(interest.toString(rule72)).toEqual('9');
});
tap.test('Amortization class should generate correct loan schedules', async () => {
const amortization = new calculation.Amortization();
// Test basic loan schedule
const schedule = amortization.schedule({
principal: 10000,
annualRate: 0.05,
termYears: 2
});
expect(schedule.payments).toHaveLength(24);
expect(amortization.round(schedule.monthlyPayment, 2).toString()).toEqual('438.71');
expect(amortization.round(schedule.totalInterest, 2).toString()).toEqual('529.13');
// Test remaining balance
const balance = amortization.remainingBalance(10000, 0.05, 24, 12);
expect(amortization.round(balance, 2).toString()).toEqual('5124.71');
// Test max loan amount
const maxLoan = amortization.maxLoanAmount(1000, 0.05, 360);
expect(amortization.round(maxLoan, 2).toString()).toEqual('186281.62');
// Test LTV ratio
const ltv = amortization.ltv(80000, 100000);
expect(amortization.toString(ltv)).toEqual('0.8');
// Test DTI ratio
const dti = amortization.dti(1500, 5000);
expect(amortization.toString(dti)).toEqual('0.3');
});
tap.test('Currency class should handle currency operations correctly', async () => {
const currency = new calculation.Currency();
// Set up exchange rates
currency.setExchangeRate('USD', 'EUR', 0.85);
currency.setExchangeRate('USD', 'GBP', 0.73);
// Test currency conversion
const converted = currency.convert(100, 'USD', 'EUR');
expect(currency.toString(converted)).toEqual('85');
// Test inverse conversion
const inverse = currency.convert(85, 'EUR', 'USD');
expect(currency.round(inverse, 2).toString()).toEqual('100');
// Test currency formatting
const formatted = currency.format(1234.56, 'USD');
expect(formatted).toEqual('$1,234.56');
const formattedEur = currency.format(1234.56, 'EUR');
expect(formattedEur).toEqual('€1.234,56');
const formattedJpy = currency.format(1234.56, 'JPY');
expect(formattedJpy).toEqual('¥1,235');
// Test parsing
const parsed = currency.parse('$1,234.56', 'USD');
expect(currency.toString(parsed)).toEqual('1234.56');
// Test money operations
const money1 = currency.money(100, 'USD');
const money2 = currency.money(50, 'USD');
const sum = currency.addMoney(money1, money2);
expect(currency.toString(sum.amount)).toEqual('150');
// Test percentage calculations
const percentage = currency.percentage(100, 15);
expect(currency.toString(percentage)).toEqual('15');
// Test tax calculations
const withTax = currency.withTax(100, 0.08);
expect(currency.toString(withTax)).toEqual('108');
const extracted = currency.extractTax(108, 0.08);
expect(currency.round(extracted.baseAmount, 2).toString()).toEqual('100');
expect(currency.round(extracted.taxAmount, 2).toString()).toEqual('8');
});
tap.test('Edge cases and error handling', async () => {
const calc = new calculation.Calculator();
const financial = new calculation.Financial();
const interest = new calculation.Interest();
const amortization = new calculation.Amortization();
const currency = new calculation.Currency();
// Test division by zero
expect(() => calc.divide(10, 0)).toThrow();
// Test zero interest rate in periods calculation
expect(() => financial.periods(1000, 2000, 0)).toThrow();
// Test zero periods in rate calculation
expect(() => financial.rate(1000, 2000, 0)).toThrow();
// Test doubling time with zero rate
expect(() => interest.doubleTime(0)).toThrow();
// Test Rule of 72 with zero rate
expect(() => interest.ruleOf72(0)).toThrow();
// Test LTV with zero property value
expect(() => amortization.ltv(100000, 0)).toThrow();
// Test DTI with zero income
expect(() => amortization.dti(1000, 0)).toThrow();
// Test currency conversion without exchange rate
expect(() => currency.convert(100, 'USD', 'JPY')).toThrow();
// Test adding money with different currencies
const usdMoney = currency.money(100, 'USD');
const eurMoney = currency.money(100, 'EUR');
expect(() => currency.addMoney(usdMoney, eurMoney)).toThrow();
});
tap.test('Precision and accuracy tests', async () => {
const calc = new calculation.Calculator({ precision: 20 });
// Test high precision calculation
const result = calc.divide(1, 3);
expect(calc.toString(result)).toEqual('0.33333333333333333333');
// Test very small numbers
const small = calc.multiply('0.000000001', '0.000000001');
expect(calc.toString(small)).toEqual('1e-18');
// Test very large numbers
const large = calc.multiply('1000000000000', '1000000000000');
expect(calc.toString(large)).toEqual('1e+24');
});
tap.start();

8
ts/00_commitinfo_data.ts Normal file
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/**
* autocreated commitinfo by @push.rocks/commitinfo
*/
export const commitinfo = {
name: '@fin.cx/calculation',
version: '1.0.0',
description: 'A unified, cross-platform financial calculation package with decimal precision for accurate financial computations'
};

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import * as plugins from './calculation.plugins.js';
import { Calculator } from './calculation.classes.calculator.js';
export interface IAmortizationPayment {
period: number;
payment: plugins.Decimal;
principal: plugins.Decimal;
interest: plugins.Decimal;
balance: plugins.Decimal;
cumulativePrincipal: plugins.Decimal;
cumulativeInterest: plugins.Decimal;
}
export interface IAmortizationSchedule {
payments: IAmortizationPayment[];
totalPayment: plugins.Decimal;
totalPrincipal: plugins.Decimal;
totalInterest: plugins.Decimal;
monthlyPayment: plugins.Decimal;
}
export interface ILoanOptions {
principal: plugins.Decimal.Value;
annualRate: plugins.Decimal.Value;
termYears?: plugins.Decimal.Value;
termMonths?: plugins.Decimal.Value;
paymentFrequency?: 'monthly' | 'biweekly' | 'weekly';
extraPayment?: plugins.Decimal.Value;
}
/**
* Amortization calculations class for loan schedules and payment analysis
*/
export class Amortization extends Calculator {
constructor() {
super({ precision: 15 });
}
/**
* Generate a complete amortization schedule
* @param options Loan options
*/
public schedule(options: ILoanOptions): IAmortizationSchedule {
const principal = this.decimal(options.principal);
const annualRate = this.decimal(options.annualRate);
const termMonths = this.calculateTermMonths(options);
const extraPayment = options.extraPayment ? this.decimal(options.extraPayment) : this.decimal(0);
const monthlyRate = this.divide(annualRate, 12);
const monthlyPayment = this.calculatePayment(principal, monthlyRate, termMonths);
const payments: IAmortizationPayment[] = [];
let balance = principal;
let cumulativePrincipal = this.decimal(0);
let cumulativeInterest = this.decimal(0);
for (let period = 1; period <= termMonths.toNumber() && balance.greaterThan(0); period++) {
const interestPayment = this.multiply(balance, monthlyRate);
const scheduledPrincipal = this.subtract(monthlyPayment, interestPayment);
// Apply extra payment to principal
const totalPrincipal = this.add(scheduledPrincipal, extraPayment);
// Ensure we don't pay more than the remaining balance
const actualPrincipal = this.min(totalPrincipal, balance);
const actualPayment = this.add(interestPayment, actualPrincipal);
balance = this.subtract(balance, actualPrincipal);
cumulativePrincipal = this.add(cumulativePrincipal, actualPrincipal);
cumulativeInterest = this.add(cumulativeInterest, interestPayment);
payments.push({
period,
payment: actualPayment,
principal: actualPrincipal,
interest: interestPayment,
balance: balance,
cumulativePrincipal: cumulativePrincipal,
cumulativeInterest: cumulativeInterest
});
// If balance is paid off early, stop
if (balance.isZero()) {
break;
}
}
const totalPayment = payments.reduce((sum, p) => this.add(sum, p.payment), this.decimal(0));
const totalPrincipal = cumulativePrincipal;
const totalInterest = cumulativeInterest;
return {
payments,
totalPayment,
totalPrincipal,
totalInterest,
monthlyPayment
};
}
/**
* Calculate monthly payment for a loan
*/
private calculatePayment(
principal: plugins.Decimal,
monthlyRate: plugins.Decimal,
termMonths: plugins.Decimal
): plugins.Decimal {
if (monthlyRate.isZero()) {
return this.divide(principal, termMonths);
}
const numerator = this.multiply(principal, monthlyRate);
const denominator = this.subtract(
1,
this.power(this.add(1, monthlyRate), this.multiply(-1, termMonths))
);
return this.divide(numerator, denominator);
}
/**
* Calculate total term in months
*/
private calculateTermMonths(options: ILoanOptions): plugins.Decimal {
if (options.termMonths) {
return this.decimal(options.termMonths);
} else if (options.termYears) {
return this.multiply(this.decimal(options.termYears), 12);
} else {
throw new Error('Either termYears or termMonths must be specified');
}
}
/**
* Calculate remaining balance after a specific number of payments
* @param principal Original loan amount
* @param annualRate Annual interest rate
* @param termMonths Total term in months
* @param paymentsMade Number of payments made
*/
public remainingBalance(
principal: plugins.Decimal.Value,
annualRate: plugins.Decimal.Value,
termMonths: plugins.Decimal.Value,
paymentsMade: plugins.Decimal.Value
): plugins.Decimal {
const p = this.decimal(principal);
const r = this.divide(this.decimal(annualRate), 12);
const n = this.decimal(termMonths);
const m = this.decimal(paymentsMade);
if (r.isZero()) {
const paymentAmount = this.divide(p, n);
const paidAmount = this.multiply(paymentAmount, m);
return this.subtract(p, paidAmount);
}
const onePlusR = this.add(1, r);
const factor1 = this.power(onePlusR, n);
const factor2 = this.power(onePlusR, m);
const numerator = this.multiply(p, this.subtract(factor1, factor2));
const denominator = this.subtract(factor1, 1);
return this.divide(numerator, denominator);
}
/**
* Calculate interest paid over a specific period
* @param schedule The amortization schedule
* @param startPeriod Start period (inclusive)
* @param endPeriod End period (inclusive)
*/
public interestForPeriod(
schedule: IAmortizationSchedule,
startPeriod: number,
endPeriod: number
): plugins.Decimal {
return schedule.payments
.filter(p => p.period >= startPeriod && p.period <= endPeriod)
.reduce((sum, p) => this.add(sum, p.interest), this.decimal(0));
}
/**
* Calculate principal paid over a specific period
* @param schedule The amortization schedule
* @param startPeriod Start period (inclusive)
* @param endPeriod End period (inclusive)
*/
public principalForPeriod(
schedule: IAmortizationSchedule,
startPeriod: number,
endPeriod: number
): plugins.Decimal {
return schedule.payments
.filter(p => p.period >= startPeriod && p.period <= endPeriod)
.reduce((sum, p) => this.add(sum, p.principal), this.decimal(0));
}
/**
* Calculate the payoff date with extra payments
* @param options Loan options with extra payment
*/
public payoffDate(options: ILoanOptions, startDate: Date = new Date()): Date {
const schedule = this.schedule(options);
const lastPayment = schedule.payments[schedule.payments.length - 1];
const monthsToPayoff = lastPayment.period;
const payoffDate = new Date(startDate);
payoffDate.setMonth(payoffDate.getMonth() + monthsToPayoff);
return payoffDate;
}
/**
* Calculate interest savings with extra payments
* @param regularOptions Loan options without extra payment
* @param extraPaymentOptions Loan options with extra payment
*/
public interestSavings(
regularOptions: ILoanOptions,
extraPaymentOptions: ILoanOptions
): plugins.Decimal {
const regularSchedule = this.schedule(regularOptions);
const extraSchedule = this.schedule(extraPaymentOptions);
return this.subtract(regularSchedule.totalInterest, extraSchedule.totalInterest);
}
/**
* Calculate biweekly payment amount (26 payments per year)
* @param monthlyPayment The regular monthly payment
*/
public biweeklyPayment(monthlyPayment: plugins.Decimal.Value): plugins.Decimal {
return this.divide(this.decimal(monthlyPayment), 2);
}
/**
* Calculate weekly payment amount (52 payments per year)
* @param monthlyPayment The regular monthly payment
*/
public weeklyPayment(monthlyPayment: plugins.Decimal.Value): plugins.Decimal {
const monthly = this.decimal(monthlyPayment);
const yearlyPayment = this.multiply(monthly, 12);
return this.divide(yearlyPayment, 52);
}
/**
* Calculate the maximum loan amount based on payment capacity
* @param maxPayment Maximum monthly payment
* @param annualRate Annual interest rate
* @param termMonths Term in months
*/
public maxLoanAmount(
maxPayment: plugins.Decimal.Value,
annualRate: plugins.Decimal.Value,
termMonths: plugins.Decimal.Value
): plugins.Decimal {
const payment = this.decimal(maxPayment);
const r = this.divide(this.decimal(annualRate), 12);
const n = this.decimal(termMonths);
if (r.isZero()) {
return this.multiply(payment, n);
}
const onePlusR = this.add(1, r);
const factor = this.power(onePlusR, this.multiply(-1, n));
const numerator = this.subtract(1, factor);
const denominator = this.divide(numerator, r);
return this.multiply(payment, denominator);
}
/**
* Calculate loan-to-value ratio (LTV)
* @param loanAmount The loan amount
* @param propertyValue The property value
*/
public ltv(
loanAmount: plugins.Decimal.Value,
propertyValue: plugins.Decimal.Value
): plugins.Decimal {
const loan = this.decimal(loanAmount);
const value = this.decimal(propertyValue);
if (value.isZero()) {
throw new Error('Property value cannot be zero');
}
return this.divide(loan, value);
}
/**
* Calculate debt-to-income ratio (DTI)
* @param monthlyDebtPayments Total monthly debt payments
* @param monthlyIncome Monthly gross income
*/
public dti(
monthlyDebtPayments: plugins.Decimal.Value,
monthlyIncome: plugins.Decimal.Value
): plugins.Decimal {
const debt = this.decimal(monthlyDebtPayments);
const income = this.decimal(monthlyIncome);
if (income.isZero()) {
throw new Error('Monthly income cannot be zero');
}
return this.divide(debt, income);
}
}

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import * as plugins from './calculation.plugins.js';
export interface ICalculatorOptions {
precision?: number;
rounding?: plugins.Decimal.Rounding;
}
/**
* Base calculator class providing high-precision decimal arithmetic
* for financial calculations
*/
export class Calculator {
private precision: number;
private rounding: plugins.Decimal.Rounding;
constructor(options: ICalculatorOptions = {}) {
this.precision = options.precision || 10;
this.rounding = options.rounding || plugins.Decimal.ROUND_HALF_UP;
// Configure Decimal.js globally for this calculator instance
plugins.Decimal.set({
precision: this.precision,
rounding: this.rounding
});
}
/**
* Create a Decimal instance from a value
*/
public decimal(value: plugins.Decimal.Value): plugins.Decimal {
return new plugins.Decimal(value);
}
/**
* Add two or more numbers with decimal precision
*/
public add(...values: plugins.Decimal.Value[]): plugins.Decimal {
return values.reduce<plugins.Decimal>((sum, value) => {
return sum.add(this.decimal(value));
}, new plugins.Decimal(0));
}
/**
* Subtract numbers with decimal precision
*/
public subtract(minuend: plugins.Decimal.Value, ...subtrahends: plugins.Decimal.Value[]): plugins.Decimal {
let result = new plugins.Decimal(minuend);
for (const subtrahend of subtrahends) {
result = result.sub(subtrahend);
}
return result;
}
/**
* Multiply numbers with decimal precision
*/
public multiply(...values: plugins.Decimal.Value[]): plugins.Decimal {
return values.reduce<plugins.Decimal>((product, value) => {
return product.mul(this.decimal(value));
}, new plugins.Decimal(1));
}
/**
* Divide numbers with decimal precision
*/
public divide(dividend: plugins.Decimal.Value, divisor: plugins.Decimal.Value): plugins.Decimal {
const divisorDecimal = new plugins.Decimal(divisor);
if (divisorDecimal.isZero()) {
throw new Error('Division by zero');
}
return new plugins.Decimal(dividend).div(divisor);
}
/**
* Calculate power with decimal precision
*/
public power(base: plugins.Decimal.Value, exponent: plugins.Decimal.Value): plugins.Decimal {
return new plugins.Decimal(base).pow(exponent);
}
/**
* Calculate square root with decimal precision
*/
public sqrt(value: plugins.Decimal.Value): plugins.Decimal {
return new plugins.Decimal(value).sqrt();
}
/**
* Calculate natural logarithm with decimal precision
*/
public ln(value: plugins.Decimal.Value): plugins.Decimal {
return new plugins.Decimal(value).ln();
}
/**
* Calculate logarithm base 10 with decimal precision
*/
public log10(value: plugins.Decimal.Value): plugins.Decimal {
return new plugins.Decimal(value).log();
}
/**
* Calculate exponential (e^x) with decimal precision
*/
public exp(value: plugins.Decimal.Value): plugins.Decimal {
return new plugins.Decimal(value).exp();
}
/**
* Round a number to specified decimal places
*/
public round(value: plugins.Decimal.Value, decimalPlaces: number = 0): plugins.Decimal {
return new plugins.Decimal(value).toDecimalPlaces(decimalPlaces);
}
/**
* Check if a value equals another value
*/
public equals(value1: plugins.Decimal.Value, value2: plugins.Decimal.Value): boolean {
return new plugins.Decimal(value1).equals(value2);
}
/**
* Check if a value is greater than another value
*/
public greaterThan(value1: plugins.Decimal.Value, value2: plugins.Decimal.Value): boolean {
return new plugins.Decimal(value1).greaterThan(value2);
}
/**
* Check if a value is less than another value
*/
public lessThan(value1: plugins.Decimal.Value, value2: plugins.Decimal.Value): boolean {
return new plugins.Decimal(value1).lessThan(value2);
}
/**
* Get the minimum value from an array of values
*/
public min(...values: plugins.Decimal.Value[]): plugins.Decimal {
return plugins.Decimal.min(...values);
}
/**
* Get the maximum value from an array of values
*/
public max(...values: plugins.Decimal.Value[]): plugins.Decimal {
return plugins.Decimal.max(...values);
}
/**
* Calculate the absolute value
*/
public abs(value: plugins.Decimal.Value): plugins.Decimal {
return new plugins.Decimal(value).abs();
}
/**
* Convert a decimal to a regular number
*/
public toNumber(value: plugins.Decimal.Value): number {
return new plugins.Decimal(value).toNumber();
}
/**
* Convert a decimal to a string
*/
public toString(value: plugins.Decimal.Value): string {
return new plugins.Decimal(value).toString();
}
/**
* Convert a decimal to a fixed-point string
*/
public toFixed(value: plugins.Decimal.Value, decimalPlaces: number = 2): string {
return new plugins.Decimal(value).toFixed(decimalPlaces);
}
}

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import * as plugins from './calculation.plugins.js';
import { Calculator } from './calculation.classes.calculator.js';
export interface ICurrencyOptions {
code: string;
symbol?: string;
decimals?: number;
thousandsSeparator?: string;
decimalSeparator?: string;
symbolPosition?: 'before' | 'after';
spaceBetweenSymbolAndValue?: boolean;
}
export interface IExchangeRate {
from: string;
to: string;
rate: plugins.Decimal.Value;
timestamp?: Date;
}
export interface IMoneyValue {
amount: plugins.Decimal;
currency: string;
}
/**
* Currency calculations and formatting class
*/
export class Currency extends Calculator {
private currencies: Map<string, ICurrencyOptions> = new Map();
private exchangeRates: Map<string, plugins.Decimal> = new Map();
constructor() {
super({ precision: 10 });
this.initializeCommonCurrencies();
}
/**
* Initialize common currencies with their default options
*/
private initializeCommonCurrencies(): void {
const commonCurrencies: ICurrencyOptions[] = [
{ code: 'USD', symbol: '$', decimals: 2, thousandsSeparator: ',', decimalSeparator: '.', symbolPosition: 'before' },
{ code: 'EUR', symbol: '€', decimals: 2, thousandsSeparator: '.', decimalSeparator: ',', symbolPosition: 'before' },
{ code: 'GBP', symbol: '£', decimals: 2, thousandsSeparator: ',', decimalSeparator: '.', symbolPosition: 'before' },
{ code: 'JPY', symbol: '¥', decimals: 0, thousandsSeparator: ',', decimalSeparator: '.', symbolPosition: 'before' },
{ code: 'CHF', symbol: 'Fr.', decimals: 2, thousandsSeparator: "'", decimalSeparator: '.', symbolPosition: 'after', spaceBetweenSymbolAndValue: true },
{ code: 'CAD', symbol: 'C$', decimals: 2, thousandsSeparator: ',', decimalSeparator: '.', symbolPosition: 'before' },
{ code: 'AUD', symbol: 'A$', decimals: 2, thousandsSeparator: ',', decimalSeparator: '.', symbolPosition: 'before' },
{ code: 'CNY', symbol: '¥', decimals: 2, thousandsSeparator: ',', decimalSeparator: '.', symbolPosition: 'before' },
{ code: 'INR', symbol: '₹', decimals: 2, thousandsSeparator: ',', decimalSeparator: '.', symbolPosition: 'before' },
{ code: 'BTC', symbol: '₿', decimals: 8, thousandsSeparator: ',', decimalSeparator: '.', symbolPosition: 'before' }
];
commonCurrencies.forEach(currency => {
this.currencies.set(currency.code, currency);
});
}
/**
* Register a new currency or update existing one
*/
public registerCurrency(options: ICurrencyOptions): void {
this.currencies.set(options.code, {
...options,
decimals: options.decimals ?? 2,
thousandsSeparator: options.thousandsSeparator ?? ',',
decimalSeparator: options.decimalSeparator ?? '.',
symbolPosition: options.symbolPosition ?? 'before',
spaceBetweenSymbolAndValue: options.spaceBetweenSymbolAndValue ?? false
});
}
/**
* Set exchange rate between two currencies
* @param from Source currency code
* @param to Target currency code
* @param rate Exchange rate (how many 'to' units per 'from' unit)
*/
public setExchangeRate(from: string, to: string, rate: plugins.Decimal.Value): void {
const key = `${from}_${to}`;
this.exchangeRates.set(key, this.decimal(rate));
// Also set the inverse rate
const inverseKey = `${to}_${from}`;
const inverseRate = this.divide(1, rate);
this.exchangeRates.set(inverseKey, inverseRate);
}
/**
* Set multiple exchange rates at once
*/
public setExchangeRates(rates: IExchangeRate[]): void {
rates.forEach(rate => {
this.setExchangeRate(rate.from, rate.to, rate.rate);
});
}
/**
* Convert amount from one currency to another
* @param amount The amount to convert
* @param from Source currency code
* @param to Target currency code
*/
public convert(
amount: plugins.Decimal.Value,
from: string,
to: string
): plugins.Decimal {
if (from === to) {
return this.decimal(amount);
}
const key = `${from}_${to}`;
const rate = this.exchangeRates.get(key);
if (!rate) {
throw new Error(`Exchange rate not found for ${from} to ${to}`);
}
return this.multiply(amount, rate);
}
/**
* Create a money value object
*/
public money(amount: plugins.Decimal.Value, currency: string): IMoneyValue {
return {
amount: this.decimal(amount),
currency
};
}
/**
* Add two money values (must be same currency)
*/
public addMoney(money1: IMoneyValue, money2: IMoneyValue): IMoneyValue {
if (money1.currency !== money2.currency) {
throw new Error('Cannot add money values with different currencies');
}
return {
amount: this.add(money1.amount, money2.amount),
currency: money1.currency
};
}
/**
* Subtract two money values (must be same currency)
*/
public subtractMoney(money1: IMoneyValue, money2: IMoneyValue): IMoneyValue {
if (money1.currency !== money2.currency) {
throw new Error('Cannot subtract money values with different currencies');
}
return {
amount: this.subtract(money1.amount, money2.amount),
currency: money1.currency
};
}
/**
* Format currency value for display
* @param amount The amount to format
* @param currencyCode The currency code
* @param options Override formatting options
*/
public format(
amount: plugins.Decimal.Value,
currencyCode: string,
options?: Partial<ICurrencyOptions>
): string {
const currency = this.currencies.get(currencyCode);
if (!currency) {
throw new Error(`Currency ${currencyCode} not registered`);
}
const formatOptions = { ...currency, ...options };
const value = this.decimal(amount);
// Round to the correct number of decimal places
const rounded = this.round(value, formatOptions.decimals || 0);
// Convert to string with fixed decimals
let numberStr = this.toFixed(rounded, formatOptions.decimals || 0);
// Split into integer and decimal parts
const parts = numberStr.split('.');
// Apply thousands separator to integer part
if (formatOptions.thousandsSeparator) {
parts[0] = parts[0].replace(/\B(?=(\d{3})+(?!\d))/g, formatOptions.thousandsSeparator);
}
// Join parts with appropriate decimal separator
if (parts.length === 2) {
numberStr = parts.join(formatOptions.decimalSeparator || '.');
} else {
numberStr = parts[0];
}
// Add currency symbol
if (formatOptions.symbol) {
const space = formatOptions.spaceBetweenSymbolAndValue ? ' ' : '';
if (formatOptions.symbolPosition === 'after') {
return `${numberStr}${space}${formatOptions.symbol}`;
} else {
return `${formatOptions.symbol}${space}${numberStr}`;
}
}
return numberStr;
}
/**
* Parse a formatted currency string back to a decimal value
* @param formattedValue The formatted string
* @param currencyCode The currency code
*/
public parse(formattedValue: string, currencyCode: string): plugins.Decimal {
const currency = this.currencies.get(currencyCode);
if (!currency) {
throw new Error(`Currency ${currencyCode} not registered`);
}
// Remove currency symbol
let cleanValue = formattedValue;
if (currency.symbol) {
cleanValue = cleanValue.replace(currency.symbol, '');
}
// Remove thousands separator
if (currency.thousandsSeparator) {
cleanValue = cleanValue.replace(new RegExp(`\\${currency.thousandsSeparator}`, 'g'), '');
}
// Replace decimal separator with standard dot
if (currency.decimalSeparator && currency.decimalSeparator !== '.') {
cleanValue = cleanValue.replace(currency.decimalSeparator, '.');
}
// Remove any remaining spaces and parse
cleanValue = cleanValue.trim();
return this.decimal(cleanValue);
}
/**
* Round amount to currency's standard decimal places
*/
public roundToCurrency(amount: plugins.Decimal.Value, currencyCode: string): plugins.Decimal {
const currency = this.currencies.get(currencyCode);
if (!currency) {
throw new Error(`Currency ${currencyCode} not registered`);
}
return this.round(amount, currency.decimals || 0);
}
/**
* Calculate percentage of amount
* @param amount The base amount
* @param percentage The percentage (e.g., 15 for 15%)
*/
public percentage(amount: plugins.Decimal.Value, percentage: plugins.Decimal.Value): plugins.Decimal {
const percent = this.divide(percentage, 100);
return this.multiply(amount, percent);
}
/**
* Calculate markup amount
* @param cost The base cost
* @param markupPercentage The markup percentage
*/
public markup(cost: plugins.Decimal.Value, markupPercentage: plugins.Decimal.Value): plugins.Decimal {
const markupAmount = this.percentage(cost, markupPercentage);
return this.add(cost, markupAmount);
}
/**
* Calculate discount amount
* @param price The original price
* @param discountPercentage The discount percentage
*/
public discount(price: plugins.Decimal.Value, discountPercentage: plugins.Decimal.Value): plugins.Decimal {
const discountAmount = this.percentage(price, discountPercentage);
return this.subtract(price, discountAmount);
}
/**
* Calculate tax amount
* @param amount The base amount
* @param taxRate The tax rate (e.g., 0.08 for 8%)
*/
public tax(amount: plugins.Decimal.Value, taxRate: plugins.Decimal.Value): plugins.Decimal {
return this.multiply(amount, taxRate);
}
/**
* Calculate total with tax
* @param amount The base amount
* @param taxRate The tax rate
*/
public withTax(amount: plugins.Decimal.Value, taxRate: plugins.Decimal.Value): plugins.Decimal {
const taxAmount = this.tax(amount, taxRate);
return this.add(amount, taxAmount);
}
/**
* Extract base amount from a tax-inclusive price
* @param totalAmount The total amount including tax
* @param taxRate The tax rate
*/
public extractTax(totalAmount: plugins.Decimal.Value, taxRate: plugins.Decimal.Value): {
baseAmount: plugins.Decimal;
taxAmount: plugins.Decimal;
} {
const divisor = this.add(1, taxRate);
const baseAmount = this.divide(totalAmount, divisor);
const taxAmount = this.subtract(totalAmount, baseAmount);
return { baseAmount, taxAmount };
}
}

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import * as plugins from './calculation.plugins.js';
import { Calculator } from './calculation.classes.calculator.js';
export interface ICashFlow {
amount: plugins.Decimal.Value;
period?: number;
}
/**
* Financial calculations class providing time value of money and investment analysis functions
*/
export class Financial extends Calculator {
constructor() {
super({ precision: 15 });
}
/**
* Calculate Present Value (PV)
* @param futureValue The future value
* @param rate The interest rate per period
* @param periods The number of periods
*/
public presentValue(
futureValue: plugins.Decimal.Value,
rate: plugins.Decimal.Value,
periods: plugins.Decimal.Value
): plugins.Decimal {
const r = this.decimal(rate);
const n = this.decimal(periods);
const fv = this.decimal(futureValue);
const denominator = this.power(this.add(1, r), n);
return this.divide(fv, denominator);
}
/**
* Calculate Future Value (FV)
* @param presentValue The present value
* @param rate The interest rate per period
* @param periods The number of periods
*/
public futureValue(
presentValue: plugins.Decimal.Value,
rate: plugins.Decimal.Value,
periods: plugins.Decimal.Value
): plugins.Decimal {
const r = this.decimal(rate);
const n = this.decimal(periods);
const pv = this.decimal(presentValue);
const multiplier = this.power(this.add(1, r), n);
return this.multiply(pv, multiplier);
}
/**
* Calculate Payment (PMT) for a loan
* @param principal The loan principal
* @param rate The interest rate per period
* @param periods The number of periods
*/
public payment(
principal: plugins.Decimal.Value,
rate: plugins.Decimal.Value,
periods: plugins.Decimal.Value
): plugins.Decimal {
const r = this.decimal(rate);
const n = this.decimal(periods);
const p = this.decimal(principal);
if (r.isZero()) {
return this.divide(p, n);
}
const numerator = this.multiply(p, r);
const denominator = this.subtract(1, this.power(this.add(1, r), this.multiply(-1, n)));
return this.divide(numerator, denominator);
}
/**
* Calculate Net Present Value (NPV)
* @param rate The discount rate
* @param cashFlows Array of cash flows (first element is initial investment, usually negative)
*/
public npv(rate: plugins.Decimal.Value, cashFlows: plugins.Decimal.Value[]): plugins.Decimal {
const r = this.decimal(rate);
return cashFlows.reduce<plugins.Decimal>((npv, cashFlow, period) => {
const cf = this.decimal(cashFlow);
const discountFactor = this.power(this.add(1, r), period);
const presentValue = this.divide(cf, discountFactor);
return this.add(npv, presentValue);
}, this.decimal(0));
}
/**
* Calculate Internal Rate of Return (IRR) using Newton-Raphson method
* @param cashFlows Array of cash flows
* @param guess Initial guess for IRR (default: 0.1)
* @param tolerance Convergence tolerance (default: 0.000001)
* @param maxIterations Maximum iterations (default: 1000)
*/
public irr(
cashFlows: plugins.Decimal.Value[],
guess: plugins.Decimal.Value = 0.1,
tolerance: plugins.Decimal.Value = 0.000001,
maxIterations: number = 1000
): plugins.Decimal {
let rate = this.decimal(guess);
const tol = this.decimal(tolerance);
for (let i = 0; i < maxIterations; i++) {
const npvValue = this.npv(rate, cashFlows);
const npvDerivative = this.npvDerivative(rate, cashFlows);
if (npvDerivative.isZero()) {
throw new Error('IRR calculation failed: derivative is zero');
}
const newRate = this.subtract(rate, this.divide(npvValue, npvDerivative));
if (this.abs(this.subtract(newRate, rate)).lessThan(tol)) {
return newRate;
}
rate = newRate;
}
throw new Error('IRR calculation failed: maximum iterations reached');
}
/**
* Calculate the derivative of NPV with respect to rate (for IRR calculation)
*/
private npvDerivative(rate: plugins.Decimal.Value, cashFlows: plugins.Decimal.Value[]): plugins.Decimal {
const r = this.decimal(rate);
return cashFlows.reduce<plugins.Decimal>((derivative, cashFlow, period) => {
if (period === 0) return derivative;
const cf = this.decimal(cashFlow);
const negPeriod = this.decimal(period).neg();
const onePlusR = this.add(1, r);
const power = this.add(negPeriod, -1);
const discountFactor = this.power(onePlusR, power);
const termDerivative = this.multiply(this.multiply(negPeriod, cf), discountFactor);
return this.add(derivative, termDerivative);
}, this.decimal(0));
}
/**
* Calculate Modified Internal Rate of Return (MIRR)
* @param cashFlows Array of cash flows
* @param financeRate Rate for negative cash flows
* @param reinvestRate Rate for positive cash flows
*/
public mirr(
cashFlows: plugins.Decimal.Value[],
financeRate: plugins.Decimal.Value,
reinvestRate: plugins.Decimal.Value
): plugins.Decimal {
const fRate = this.decimal(financeRate);
const rRate = this.decimal(reinvestRate);
const n = cashFlows.length - 1;
let pvNegative = this.decimal(0);
let fvPositive = this.decimal(0);
cashFlows.forEach((cashFlow, period) => {
const cf = this.decimal(cashFlow);
if (cf.lessThan(0)) {
pvNegative = this.add(pvNegative, this.presentValue(cf, fRate, period));
} else {
fvPositive = this.add(fvPositive, this.futureValue(cf, rRate, n - period));
}
});
if (pvNegative.isZero() || fvPositive.isZero()) {
throw new Error('MIRR calculation failed: no negative or positive cash flows');
}
const ratio = this.divide(fvPositive, this.abs(pvNegative));
const result = this.subtract(this.power(ratio, this.divide(1, n)), 1);
return result;
}
/**
* Calculate the number of periods for an investment to reach a target value
* @param presentValue The present value
* @param futureValue The future value
* @param rate The interest rate per period
*/
public periods(
presentValue: plugins.Decimal.Value,
futureValue: plugins.Decimal.Value,
rate: plugins.Decimal.Value
): plugins.Decimal {
const pv = this.decimal(presentValue);
const fv = this.decimal(futureValue);
const r = this.decimal(rate);
if (r.isZero()) {
throw new Error('Cannot calculate periods with zero interest rate');
}
const ratio = this.divide(fv, pv);
const numerator = this.ln(ratio);
const denominator = this.ln(this.add(1, r));
return this.divide(numerator, denominator);
}
/**
* Calculate the interest rate given PV, FV, and periods
* @param presentValue The present value
* @param futureValue The future value
* @param periods The number of periods
*/
public rate(
presentValue: plugins.Decimal.Value,
futureValue: plugins.Decimal.Value,
periods: plugins.Decimal.Value
): plugins.Decimal {
const pv = this.decimal(presentValue);
const fv = this.decimal(futureValue);
const n = this.decimal(periods);
if (n.isZero()) {
throw new Error('Cannot calculate rate with zero periods');
}
const ratio = this.divide(fv, pv);
const exponent = this.divide(1, n);
const result = this.subtract(this.power(ratio, exponent), 1);
return result;
}
/**
* Calculate Extended Internal Rate of Return (XIRR) for irregular cash flows
* @param cashFlows Array of cash flow objects with amounts and dates
* @param dates Array of dates corresponding to cash flows
* @param guess Initial guess for XIRR (default: 0.1)
*/
public xirr(
cashFlows: plugins.Decimal.Value[],
dates: Date[],
guess: plugins.Decimal.Value = 0.1
): plugins.Decimal {
if (cashFlows.length !== dates.length) {
throw new Error('Cash flows and dates arrays must have the same length');
}
const startDate = dates[0];
const yearFractions = dates.map(date => {
const daysDiff = (date.getTime() - startDate.getTime()) / (1000 * 60 * 60 * 24);
return this.divide(daysDiff, 365);
});
let rate = this.decimal(guess);
const tolerance = this.decimal(0.000001);
const maxIterations = 1000;
for (let i = 0; i < maxIterations; i++) {
const xnpv = this.xnpv(rate, cashFlows, yearFractions);
const xnpvDerivative = this.xnpvDerivative(rate, cashFlows, yearFractions);
if (xnpvDerivative.isZero()) {
throw new Error('XIRR calculation failed: derivative is zero');
}
const newRate = this.subtract(rate, this.divide(xnpv, xnpvDerivative));
if (this.abs(this.subtract(newRate, rate)).lessThan(tolerance)) {
return newRate;
}
rate = newRate;
}
throw new Error('XIRR calculation failed: maximum iterations reached');
}
/**
* Calculate XNPV for irregular cash flows
*/
private xnpv(
rate: plugins.Decimal.Value,
cashFlows: plugins.Decimal.Value[],
yearFractions: plugins.Decimal[]
): plugins.Decimal {
const r = this.decimal(rate);
return cashFlows.reduce<plugins.Decimal>((npv, cashFlow, index) => {
const cf = this.decimal(cashFlow);
const t = yearFractions[index];
const discountFactor = this.power(this.add(1, r), t);
const presentValue = this.divide(cf, discountFactor);
return this.add(npv, presentValue);
}, this.decimal(0));
}
/**
* Calculate the derivative of XNPV
*/
private xnpvDerivative(
rate: plugins.Decimal.Value,
cashFlows: plugins.Decimal.Value[],
yearFractions: plugins.Decimal[]
): plugins.Decimal {
const r = this.decimal(rate);
return cashFlows.reduce<plugins.Decimal>((derivative, cashFlow, index) => {
const cf = this.decimal(cashFlow);
const t = yearFractions[index];
const negT = this.multiply(-1, t);
const discountFactor = this.power(this.add(1, r), this.subtract(negT, 1));
const termDerivative = this.multiply(this.multiply(negT, cf), discountFactor);
return this.add(derivative, termDerivative);
}, this.decimal(0));
}
}

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import * as plugins from './calculation.plugins.js';
import { Calculator } from './calculation.classes.calculator.js';
export type CompoundingFrequency = 'annually' | 'semiannually' | 'quarterly' | 'monthly' | 'weekly' | 'daily' | 'continuous';
export interface IInterestOptions {
principal: plugins.Decimal.Value;
rate: plugins.Decimal.Value;
time: plugins.Decimal.Value;
compoundingFrequency?: CompoundingFrequency;
}
/**
* Interest calculations class providing various interest computation methods
*/
export class Interest extends Calculator {
private readonly frequencyMap: Record<CompoundingFrequency, number> = {
annually: 1,
semiannually: 2,
quarterly: 4,
monthly: 12,
weekly: 52,
daily: 365,
continuous: 0
};
constructor() {
super({ precision: 15 });
}
/**
* Calculate simple interest
* @param principal The principal amount
* @param rate The annual interest rate (as decimal, e.g., 0.05 for 5%)
* @param time The time period in years
*/
public simple(
principal: plugins.Decimal.Value,
rate: plugins.Decimal.Value,
time: plugins.Decimal.Value
): plugins.Decimal {
const p = this.decimal(principal);
const r = this.decimal(rate);
const t = this.decimal(time);
return this.multiply(p, r, t);
}
/**
* Calculate simple interest amount (principal + interest)
*/
public simpleAmount(
principal: plugins.Decimal.Value,
rate: plugins.Decimal.Value,
time: plugins.Decimal.Value
): plugins.Decimal {
const p = this.decimal(principal);
const interest = this.simple(principal, rate, time);
return this.add(p, interest);
}
/**
* Calculate compound interest
* @param principal The principal amount
* @param rate The annual interest rate (as decimal)
* @param time The time period in years
* @param frequency The compounding frequency (default: annually)
*/
public compound(
principal: plugins.Decimal.Value,
rate: plugins.Decimal.Value,
time: plugins.Decimal.Value,
frequency: CompoundingFrequency = 'annually'
): plugins.Decimal {
const p = this.decimal(principal);
const r = this.decimal(rate);
const t = this.decimal(time);
if (frequency === 'continuous') {
return this.continuousCompound(principal, rate, time);
}
const n = this.decimal(this.frequencyMap[frequency]);
const amount = this.compoundAmount(principal, rate, time, frequency);
return this.subtract(amount, p);
}
/**
* Calculate compound interest amount (principal + interest)
*/
public compoundAmount(
principal: plugins.Decimal.Value,
rate: plugins.Decimal.Value,
time: plugins.Decimal.Value,
frequency: CompoundingFrequency = 'annually'
): plugins.Decimal {
const p = this.decimal(principal);
const r = this.decimal(rate);
const t = this.decimal(time);
if (frequency === 'continuous') {
return this.continuousCompoundAmount(principal, rate, time);
}
const n = this.decimal(this.frequencyMap[frequency]);
const ratePerPeriod = this.divide(r, n);
const periods = this.multiply(n, t);
const multiplier = this.power(this.add(1, ratePerPeriod), periods);
return this.multiply(p, multiplier);
}
/**
* Calculate continuous compound interest
*/
private continuousCompound(
principal: plugins.Decimal.Value,
rate: plugins.Decimal.Value,
time: plugins.Decimal.Value
): plugins.Decimal {
const p = this.decimal(principal);
const amount = this.continuousCompoundAmount(principal, rate, time);
return this.subtract(amount, p);
}
/**
* Calculate continuous compound interest amount
*/
private continuousCompoundAmount(
principal: plugins.Decimal.Value,
rate: plugins.Decimal.Value,
time: plugins.Decimal.Value
): plugins.Decimal {
const p = this.decimal(principal);
const r = this.decimal(rate);
const t = this.decimal(time);
const exponent = this.multiply(r, t);
const multiplier = this.exp(exponent);
return this.multiply(p, multiplier);
}
/**
* Calculate effective annual rate (EAR) from nominal rate
* @param nominalRate The nominal annual interest rate
* @param frequency The compounding frequency
*/
public effectiveAnnualRate(
nominalRate: plugins.Decimal.Value,
frequency: CompoundingFrequency = 'annually'
): plugins.Decimal {
const r = this.decimal(nominalRate);
if (frequency === 'continuous') {
return this.subtract(this.exp(r), 1);
}
const n = this.decimal(this.frequencyMap[frequency]);
const ratePerPeriod = this.divide(r, n);
const onePlusRate = this.add(1, ratePerPeriod);
const compounded = this.power(onePlusRate, n);
return this.subtract(compounded, 1);
}
/**
* Calculate nominal rate from effective annual rate
* @param effectiveRate The effective annual rate
* @param frequency The compounding frequency
*/
public nominalRate(
effectiveRate: plugins.Decimal.Value,
frequency: CompoundingFrequency = 'annually'
): plugins.Decimal {
const ear = this.decimal(effectiveRate);
if (frequency === 'continuous') {
return this.ln(this.add(1, ear));
}
const n = this.decimal(this.frequencyMap[frequency]);
const onePlusEar = this.add(1, ear);
const exponent = this.divide(1, n);
const nthRoot = this.power(onePlusEar, exponent);
const ratePerPeriod = this.subtract(nthRoot, 1);
return this.multiply(ratePerPeriod, n);
}
/**
* Calculate the real interest rate adjusted for inflation
* @param nominalRate The nominal interest rate
* @param inflationRate The inflation rate
*/
public realRate(
nominalRate: plugins.Decimal.Value,
inflationRate: plugins.Decimal.Value
): plugins.Decimal {
const r = this.decimal(nominalRate);
const i = this.decimal(inflationRate);
const numerator = this.subtract(r, i);
const denominator = this.add(1, i);
return this.divide(numerator, denominator);
}
/**
* Calculate the time required to double an investment
* @param rate The interest rate
* @param frequency The compounding frequency
*/
public doubleTime(
rate: plugins.Decimal.Value,
frequency: CompoundingFrequency = 'annually'
): plugins.Decimal {
const r = this.decimal(rate);
if (r.isZero()) {
throw new Error('Cannot calculate doubling time with zero interest rate');
}
if (frequency === 'continuous') {
return this.divide(this.ln(2), r);
}
const n = this.decimal(this.frequencyMap[frequency]);
const ratePerPeriod = this.divide(r, n);
const numerator = this.ln(2);
const denominator = this.multiply(n, this.ln(this.add(1, ratePerPeriod)));
return this.divide(numerator, denominator);
}
/**
* Calculate the Rule of 72 approximation for doubling time
* @param rate The annual interest rate (as percentage, e.g., 5 for 5%)
*/
public ruleOf72(rate: plugins.Decimal.Value): plugins.Decimal {
const r = this.decimal(rate);
if (r.isZero()) {
throw new Error('Cannot calculate Rule of 72 with zero interest rate');
}
return this.divide(72, r);
}
/**
* Calculate periodic interest rate from annual rate
* @param annualRate The annual interest rate
* @param frequency The compounding frequency
*/
public periodicRate(
annualRate: plugins.Decimal.Value,
frequency: CompoundingFrequency
): plugins.Decimal {
if (frequency === 'continuous') {
throw new Error('Periodic rate not applicable for continuous compounding');
}
const r = this.decimal(annualRate);
const n = this.decimal(this.frequencyMap[frequency]);
return this.divide(r, n);
}
/**
* Calculate annual percentage yield (APY)
* Same as effective annual rate but commonly used in banking
*/
public apy(
nominalRate: plugins.Decimal.Value,
frequency: CompoundingFrequency = 'annually'
): plugins.Decimal {
return this.effectiveAnnualRate(nominalRate, frequency);
}
/**
* Calculate interest on interest (compound interest minus simple interest)
*/
public interestOnInterest(
principal: plugins.Decimal.Value,
rate: plugins.Decimal.Value,
time: plugins.Decimal.Value,
frequency: CompoundingFrequency = 'annually'
): plugins.Decimal {
const simpleInt = this.simple(principal, rate, time);
const compoundInt = this.compound(principal, rate, time, frequency);
return this.subtract(compoundInt, simpleInt);
}
}

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import * as smartpromise from '@push.rocks/smartpromise';
import { Decimal } from 'decimal.js';
export {
smartpromise,
Decimal
};

5
ts/index.ts Normal file
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export * from './calculation.classes.calculator.js';
export * from './calculation.classes.financial.js';
export * from './calculation.classes.interest.js';
export * from './calculation.classes.amortization.js';
export * from './calculation.classes.currency.js';

14
tsconfig.json Normal file
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{
"compilerOptions": {
"experimentalDecorators": true,
"useDefineForClassFields": false,
"target": "ES2022",
"module": "NodeNext",
"moduleResolution": "NodeNext",
"esModuleInterop": true,
"verbatimModuleSyntax": true
},
"exclude": [
"dist_*/**/*.d.ts"
]
}