# Pi Calculation Benchmark: Performance Comparison of 34 Programming Languages

## Overview

This study compares the performance of 34 programming languages when calculating π (pi) with high precision. The benchmark uses Machin's formula and measures execution time for 100, 1000, and 10000 decimal places.

## Test Environment

**Hardware:**
- **Model:** MacBook Neo (Mac17,5)
- **Processor:** Apple A18 Pro
  - 6 cores: 2 performance cores + 4 efficiency cores
  - Architecture: ARM64
- **Memory:** 8 GB RAM
- **Operating System:** macOS (Darwin)

**Methodology:**
- Each language runs 4 times per test
- First run is considered "warmup" and excluded
- Results are the average of the 3 subsequent runs
- Time measured in milliseconds (ms)

## Method: Machin's Formula

All implementations use Machin's formula for π calculation:

```
π/4 = 4·arctan(1/5) - arctan(1/239)
```

Where arctan(x) is calculated using the Taylor series:

```
arctan(x) = x - x³/3 + x⁵/5 - x⁷/7 + ...
```

**Advantages of this method:**
1. Fast convergence (few terms required)
2. Simple implementation
3. High precision possible
4. Only integer arithmetic required

## Results

### Performance Charts by Language (100 decimals)

The following Mermaid charts show performance for each language with actual test data:

#### Compiled Languages (Native Code) - Fastest

```mermaid
xychart-beta
    title "Compiled Languages - Time (ms) at 100 decimals"
    x-axis ["Assembly", "C", "C++", "Rust", "Go", "Nim", "Odin", "Fortran", "Swift", "Crystal"]
    y-axis "Time (ms)" 0 --> 35
    bar [9, 9, 9, 9, 9, 9, 9, 27, 29, 28]
```

```mermaid
xychart-beta
    title "Compiled Languages - Memory Usage (MB) at 100 decimals"
    x-axis ["Assembly", "C", "C++", "Rust", "Go", "Nim", "Odin", "Fortran", "Swift", "Crystal"]
    y-axis "Memory (MB)" 0 --> 1
    bar [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
```

#### JIT-Compiled Languages

```mermaid
xychart-beta
    title "JIT-Compiled Languages - Time (ms) at 100 decimals"
    x-axis ["Java", "C#", "Kotlin", "Julia"]
    y-axis "Time (ms)" 0 --> 300
    bar [57, 57, 83, 290]
```

```mermaid
xychart-beta
    title "JIT-Compiled Languages - Memory Usage (MB) at 100 decimals"
    x-axis ["Java", "C#", "Kotlin", "Julia"]
    y-axis "Memory (MB)" 0 --> 3
    bar [2, 2, 2, 2]
```

#### Interpreted Languages

```mermaid
xychart-beta
    title "Interpreted Languages - Time (ms) at 100 decimals"
    x-axis ["Python", "Perl", "PHP", "Ruby", "JavaScript"]
    y-axis "Time (ms)" 0 --> 90
    bar [57, 55, 77, 79, 84]
```

```mermaid
xychart-beta
    title "Interpreted Languages - Memory Usage (MB) at 100 decimals"
    x-axis ["Python", "Perl", "PHP", "Ruby", "JavaScript"]
    y-axis "Memory (MB)" 0 --> 3
    bar [2, 2, 2, 2, 2]
```

#### Slowest Languages

```mermaid
xychart-beta
    title "Slowest Languages - Time (ms) at 100 decimals"
    x-axis ["Erlang", "R", "Elixir", "Scala", "TypeScript"]
    y-axis "Time (ms)" 0 --> 900
    bar [130, 349, 898, 58, 154]
```

### Performance Scaling by Decimal Count

#### 1 Decimal

**Compiled Languages:**
```mermaid
xychart-beta
    title "Compiled Languages - Time (ms) at 1 decimal"
    x-axis ["Assembly", "C", "C++", "Rust", "Go", "Nim", "Odin", "Fortran", "Swift", "Crystal"]
    y-axis "Time (ms)" 0 --> 35
    bar [10, 10, 9, 9, 9, 9, 9, 28, 29, 28]
```

**JIT-Compiled Languages:**
```mermaid
xychart-beta
    title "JIT-Compiled Languages - Time (ms) at 1 decimal"
    x-axis ["Java", "C#", "Kotlin", "Julia"]
    y-axis "Time (ms)" 0 --> 300
    bar [57, 58, 83, 297]
```

**Interpreted Languages:**
```mermaid
xychart-beta
    title "Interpreted Languages - Time (ms) at 1 decimal"
    x-axis ["Python", "Perl", "PHP", "Ruby", "JavaScript"]
    y-axis "Time (ms)" 0 --> 90
    bar [57, 54, 78, 79, 82]
```

#### 2 Decimals

**Compiled Languages:**
```mermaid
xychart-beta
    title "Compiled Languages - Time (ms) at 2 decimals"
    x-axis ["Assembly", "C", "C++", "Rust", "Go", "Nim", "Odin", "Fortran", "Swift", "Crystal"]
    y-axis "Time (ms)" 0 --> 35
    bar [9, 9, 9, 9, 9, 9, 9, 26, 29, 28]
```

**JIT-Compiled Languages:**
```mermaid
xychart-beta
    title "JIT-Compiled Languages - Time (ms) at 2 decimals"
    x-axis ["Java", "C#", "Kotlin", "Julia"]
    y-axis "Time (ms)" 0 --> 300
    bar [57, 57, 83, 294]
```

**Interpreted Languages:**
```mermaid
xychart-beta
    title "Interpreted Languages - Time (ms) at 2 decimals"
    x-axis ["Python", "Perl", "PHP", "Ruby", "JavaScript"]
    y-axis "Time (ms)" 0 --> 90
    bar [57, 53, 79, 80, 83]
```

#### 5 Decimals

**Compiled Languages:**
```mermaid
xychart-beta
    title "Compiled Languages - Time (ms) at 5 decimals"
    x-axis ["Assembly", "C", "C++", "Rust", "Go", "Nim", "Odin", "Fortran", "Swift", "Crystal"]
    y-axis "Time (ms)" 0 --> 35
    bar [8, 10, 9, 9, 9, 9, 9, 15, 28, 28]
```

**JIT-Compiled Languages:**
```mermaid
xychart-beta
    title "JIT-Compiled Languages - Time (ms) at 5 decimals"
    x-axis ["Java", "C#", "Kotlin", "Julia"]
    y-axis "Time (ms)" 0 --> 300
    bar [57, 57, 83, 292]
```

**Interpreted Languages:**
```mermaid
xychart-beta
    title "Interpreted Languages - Time (ms) at 5 decimals"
    x-axis ["Python", "Perl", "PHP", "Ruby", "JavaScript"]
    y-axis "Time (ms)" 0 --> 90
    bar [57, 55, 80, 80, 83]
```

#### 10 Decimals

**Compiled Languages:**
```mermaid
xychart-beta
    title "Compiled Languages - Time (ms) at 10 decimals"
    x-axis ["Assembly", "C", "C++", "Rust", "Go", "Nim", "Odin", "Fortran", "Swift", "Crystal"]
    y-axis "Time (ms)" 0 --> 40
    bar [9, 9, 9, 9, 9, 9, 9, 21, 29, 29]
```

**JIT-Compiled Languages:**
```mermaid
xychart-beta
    title "JIT-Compiled Languages - Time (ms) at 10 decimals"
    x-axis ["Java", "C#", "Kotlin", "Julia"]
    y-axis "Time (ms)" 0 --> 310
    bar [58, 58, 83, 302]
```

**Interpreted Languages:**
```mermaid
xychart-beta
    title "Interpreted Languages - Time (ms) at 10 decimals"
    x-axis ["Python", "Perl", "PHP", "Ruby", "JavaScript"]
    y-axis "Time (ms)" 0 --> 90
    bar [57, 54, 78, 79, 83]
```

#### 1000 Decimals

**Compiled Languages:**
```mermaid
xychart-beta
    title "Compiled Languages - Time (ms) at 1000 decimals"
    x-axis ["Assembly", "C", "C++", "Rust", "Go", "Nim", "Odin", "Fortran", "Swift", "Crystal"]
    y-axis "Time (ms)" 0 --> 35
    bar [9, 9, 30, 9, 9, 9, 9, 31, 29, 29]
```

**JIT-Compiled Languages:**
```mermaid
xychart-beta
    title "JIT-Compiled Languages - Time (ms) at 1000 decimals"
    x-axis ["Java", "C#", "Kotlin", "Julia"]
    y-axis "Time (ms)" 0 --> 310
    bar [57, 57, 83, 299]
```

**Interpreted Languages:**
```mermaid
xychart-beta
    title "Interpreted Languages - Time (ms) at 1000 decimals"
    x-axis ["Python", "Perl", "PHP", "Ruby", "JavaScript"]
    y-axis "Time (ms)" 0 --> 240
    bar [60, 103, 79, 79, 233]
```

#### 2000 Decimals

**Compiled Languages:**
```mermaid
xychart-beta
    title "Compiled Languages - Time (ms) at 2000 decimals"
    x-axis ["Assembly", "C", "C++", "Rust", "Go", "Nim", "Odin", "Fortran", "Swift", "Crystal"]
    y-axis "Time (ms)" 0 --> 35
    bar [9, 27, 33, 9, 9, 9, 9, 31, 29, 29]
```

**JIT-Compiled Languages:**
```mermaid
xychart-beta
    title "JIT-Compiled Languages - Time (ms) at 2000 decimals"
    x-axis ["Java", "C#", "Kotlin", "Julia"]
    y-axis "Time (ms)" 0 --> 310
    bar [57, 57, 83, 299]
```

**Interpreted Languages:**
```mermaid
xychart-beta
    title "Interpreted Languages - Time (ms) at 2000 decimals"
    x-axis ["Python", "Perl", "PHP", "Ruby", "JavaScript"]
    y-axis "Time (ms)" 0 --> 240
    bar [60, 103, 79, 79, 233]
```

### Resource Usage Over Time

The following charts show memory usage throughout the program's entire lifetime. The X-axis shows time in milliseconds from start to finish, and the Y-axis shows memory usage in MB. Each chart is scaled to clearly show variations for that specific language.

#### Compiled Languages (Native Code)

##### C - Fastest Language (11ms, minimal memory)

```mermaid
xychart-beta
    title "C - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 12
    y-axis "Memory (MB)" 0 --> 1
    line [0.0]
```

**Analysis:** C uses practically no memory and executes in 11ms. Memory remains stable at 0 MB throughout execution.

##### Rust - Fast and Memory-Efficient (11ms)

```mermaid
xychart-beta
    title "Rust - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 12
    y-axis "Memory (MB)" 0 --> 1
    line [0.0]
```

**Analysis:** Rust matches C in performance and memory usage. Zero-cost abstractions provide optimal performance.

##### Assembly - Low-Level Performance (18ms)

```mermaid
xychart-beta
    title "Assembly - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 20
    y-axis "Memory (MB)" 0 --> 1
    line [0.0]
```

**Analysis:** Assembly shows similar performance to C and Rust with minimal memory.

##### Haskell - Fast but High Memory (49ms, 10.5MB)

```mermaid
xychart-beta
    title "Haskell - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 8
    y-axis "Memory (MB)" 0 --> 12
    line [10.5]
```

**Analysis:** Haskell is fast (49ms) but uses significantly more memory (10.5 MB) due to runtime and garbage collector.

##### Dart - High Memory but Fast (41ms, 9.1MB)

```mermaid
xychart-beta
    title "Dart - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 12
    y-axis "Memory (MB)" 0 --> 11
    line [9.1]
```

**Analysis:** Dart shows higher memory usage (9.1 MB) but maintains good performance thanks to JIT compilation.

#### Interpreted Languages

##### Elixir - Slow but Stable Memory (338ms, 2MB)

```mermaid
xychart-beta
    title "Elixir - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 300
    y-axis "Memory (MB)" 0 --> 3
    line [2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```

**Analysis:** Elixir is slower (338ms) but shows very stable memory usage at 2 MB throughout execution. The BEAM VM provides predictable memory usage.

##### TypeScript - Slowest with Varying Memory (1780ms, 2MB)

```mermaid
xychart-beta
    title "TypeScript - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 1500
    y-axis "Memory (MB)" 0 --> 3
    line [1.9, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```

**Analysis:** TypeScript is slowest (1780ms) but shows an interesting memory profile: starts lower (1.9 MB) and quickly stabilizes at 2 MB.

##### Scala - JVM-Based (737ms, 2MB)

```mermaid
xychart-beta
    title "Scala - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 360
    y-axis "Memory (MB)" 0 --> 3
    line [2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```

**Analysis:** Scala on JVM shows stable memory usage but slower execution due to JVM startup time.

##### JavaScript - Node.js Performance (169ms, 2MB)

```mermaid
xychart-beta
    title "JavaScript - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 500
    y-axis "Memory (MB)" 0 --> 3
    line [2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 0.0]
```

**Analysis:** JavaScript shows stable memory usage but with an interesting drop at the end (0 MB) when the process terminates.

#### Memory Usage Comparison

##### Fast Languages (< 50ms) - Memory Profile

```mermaid
xychart-beta
    title "Fast Languages - Memory Usage Comparison"
    x-axis ["C", "Rust", "Assembly", "Go", "Nim", "Odin", "C++", "Fortran", "Swift", "Haskell", "Dart"]
    y-axis "Memory (MB)" 0 --> 12
    bar [0, 0, 0, 0, 0, 0, 0, 1, 0, 10.5, 9.1]
```

**Analysis:** Most fast languages use minimal memory (0-1 MB), but Haskell and Dart stand out with 9-11 MB due to their runtime environments.

##### Slow Languages (> 200ms) - Memory Profile

```mermaid
xychart-beta
    title "Slow Languages - Memory Usage Comparison"
    x-axis ["Elixir", "Erlang", "R", "Scala", "TypeScript"]
    y-axis "Memory (MB)" 0 --> 3
    bar [2.0, 2.0, 2.0, 2.0, 2.0]
```

**Analysis:** All slow languages show similar memory usage (2 MB), suggesting that execution time doesn't directly correlate with memory usage.

### Binary Sizes

File sizes for compiled binaries (where applicable):

| Language | Binary Size | Type |
|----------|-------------|------|
| C | 34K | Native binary |
| Assembly | 49K | Native binary |
| Fortran | 34K | Native binary |
| Objective-C | 50K | Native binary |
| Swift | 76K | Native binary |
| Nim | 149K | Native binary |
| Rust | 497K | Native binary |
| Odin | 422K | Native binary |
| C++ | 221K | Native binary |
| Zig | 2.0M | Native binary |
| Crystal | 1.5M | Native binary |
| D | 1.3M | Native binary |
| Go | 2.5M | Native binary |
| Dart | 5.4M | Native binary |
| Haskell | 13M | Native binary |
| C# | 122K | .NET assembly |
| Java | 104B | Wrapper script |
| JavaScript | 103B | Wrapper script |
| Python | 106B | Wrapper script |
| Ruby | 103B | Wrapper script |
| Elixir | 106B | Wrapper script |
| Erlang | 143B | Wrapper script |
| Scala | 114B | Wrapper script |
| Kotlin | 109B | Wrapper script |
| Julia | 104B | Wrapper script |
| TypeScript | 110B | Wrapper script |
| Lua | 103B | Wrapper script |
| Perl | 103B | Wrapper script |
| PHP | 103B | Wrapper script |
| R | 105B | Wrapper script |
| Bash | 103B | Wrapper script |
| Brainfuck | 106B | Wrapper script |
| Vimscript | 467B | Wrapper script |
| Wolfram | 118B | Wrapper script |

**Note:** Wrapper scripts are small shell scripts that invoke the interpreter. Compiled languages have actual binaries with embedded code.

### Performance Scaling by Decimal Count

The following tables show how performance scales with increasing decimal precision:

#### 1 Decimal

| Language | Time (ms) | Memory (MB) | Status |
|----------|-----------|-------------|--------|
| Assembly | 10 | 0 | ✓ |
| C | 10 | 0 | ✓ |
| C++ | 9 | 0 | ✓ |
| Rust | 9 | 0 | ✓ |
| Go | 9 | 0 | ✓ |
| Nim | 9 | 0 | ✓ |
| Odin | 9 | 0 | ✓ |
| Swift | 29 | 0 | ✓ |
| Fortran | 28 | 0 | ✓ |
| Objective-C | 32 | 597 | ✓ |
| D | 35 | 9488 | ✓ |
| Crystal | 28 | 0 | ✓ |
| Zig | 32 | 2752 | ✓ |
| Haskell | 17 | 0 | ✓ |
| Lua | 29 | 0 | ✓ |
| Python | 57 | 2000 | ✓ |
| Java | 57 | 2000 | ✓ |
| C# | 58 | 2021 | ✓ |
| JavaScript | 82 | 2037 | ✓ |
| TypeScript | 157 | 2032 | ✓ |
| Perl | 54 | 2005 | ✓ |
| PHP | 78 | 2032 | ✓ |
| Ruby | 79 | 2000 | ✓ |
| Julia | 297 | 2037 | ✓ |
| Elixir | 912 | 2032 | ✓ |
| Erlang | 129 | 2032 | ✓ |
| R | 357 | 2037 | ✓ |
| Scala | 90 | 2000 | ✓ |
| Kotlin | 83 | 2032 | ✓ |
| Dart | 32 | 11600 | ✓ |
| Bash | 36 | 2005 | ✓ |
| Brainfuck | 53 | 2000 | ✓ |

#### 2 Decimals

| Language | Time (ms) | Memory (MB) | Status |
|----------|-----------|-------------|--------|
| Assembly | 9 | 0 | ✓ |
| C | 9 | 0 | ✓ |
| C++ | 9 | 0 | ✓ |
| Rust | 9 | 0 | ✓ |
| Go | 9 | 0 | ✓ |
| Nim | 9 | 0 | ✓ |
| Odin | 9 | 0 | ✓ |
| Swift | 29 | 0 | ✓ |
| Fortran | 26 | 0 | ✓ |
| Objective-C | 32 | 496 | ✓ |
| D | 35 | 10032 | ✓ |
| Crystal | 28 | 0 | ✓ |
| Zig | 32 | 2757 | ✓ |
| Haskell | 9 | 0 | ✓ |
| Lua | 30 | 0 | ✓ |
| Python | 57 | 2000 | ✓ |
| Java | 57 | 2000 | ✓ |
| C# | 57 | 2016 | ✓ |
| JavaScript | 83 | 2032 | ✓ |
| TypeScript | 157 | 2032 | ✓ |
| Perl | 53 | 2000 | ✓ |
| PHP | 79 | 2032 | ✓ |
| Ruby | 80 | 2005 | ✓ |
| Julia | 294 | 2032 | ✓ |
| Elixir | 871 | 2037 | ✓ |
| Erlang | 127 | 2032 | ✓ |
| R | 342 | 2032 | ✓ |
| Scala | 58 | 2000 | ✓ |
| Kotlin | 83 | 2032 | ✓ |
| Dart | 31 | 11600 | ✓ |
| Bash | 33 | 2000 | ✓ |
| Brainfuck | 53 | 2005 | ✓ |

#### 5 Decimals

| Language | Time (ms) | Memory (MB) | Status |
|----------|-----------|-------------|--------|
| Assembly | 8 | 0 | ✓ |
| C | 10 | 0 | ✓ |
| C++ | 9 | 0 | ✓ |
| Rust | 9 | 0 | ✓ |
| Go | 9 | 0 | ✓ |
| Nim | 9 | 0 | ✓ |
| Odin | 9 | 0 | ✓ |
| Swift | 28 | 0 | ✓ |
| Fortran | 15 | 0 | ✓ |
| Objective-C | 31 | 533 | ✓ |
| D | 35 | 9578 | ✓ |
| Crystal | 28 | 0 | ✓ |
| Zig | 32 | 2757 | ✓ |
| Haskell | 10 | 0 | ✓ |
| Lua | 28 | 0 | ✓ |
| Python | 57 | 2000 | ✓ |
| Java | 57 | 2000 | ✓ |
| C# | 57 | 2016 | ✓ |
| JavaScript | 83 | 2032 | ✓ |
| TypeScript | 156 | 2032 | ✓ |
| Perl | 55 | 2000 | ✓ |
| PHP | 80 | 2032 | ✓ |
| Ruby | 80 | 2000 | ✓ |
| Julia | 292 | 2032 | ✓ |
| Elixir | 881 | 2032 | ✓ |
| Erlang | 129 | 2032 | ✓ |
| R | 374 | 2037 | ✓ |
| Scala | 59 | 2000 | ✓ |
| Kotlin | 83 | 2032 | ✓ |
| Dart | 31 | 11600 | ✓ |
| Bash | 33 | 2000 | ✓ |
| Brainfuck | 53 | 2000 | ✓ |

#### 10 Decimals

| Language | Time (ms) | Memory (MB) | Status |
|----------|-----------|-------------|--------|
| Assembly | 9 | 0 | ✓ |
| C | 9 | 0 | ✓ |
| C++ | 9 | 0 | ✓ |
| Rust | 9 | 0 | ✓ |
| Go | 9 | 0 | ✓ |
| Nim | 9 | 0 | ✓ |
| Odin | 9 | 0 | ✓ |
| Swift | 29 | 0 | ✓ |
| Fortran | 21 | 0 | ✓ |
| Objective-C | 32 | 1066 | ✓ |
| D | 36 | 9669 | ✓ |
| Crystal | 29 | 0 | ✓ |
| Zig | 33 | 2773 | ✓ |
| Haskell | 9 | 0 | ✓ |
| Lua | 30 | 0 | ✓ |
| Python | 57 | 2000 | ✓ |
| Java | 58 | 2000 | ✓ |
| C# | 58 | 2000 | ✓ |
| JavaScript | 83 | 2037 | ✓ |
| TypeScript | 155 | 2032 | ✓ |
| Perl | 54 | 2000 | ✓ |
| PHP | 78 | 2032 | ✓ |
| Ruby | 79 | 2000 | ✓ |
| Julia | 302 | 2032 | ✓ |
| Elixir | 910 | 2032 | ✓ |
| Erlang | 130 | 2042 | ✓ |
| R | 336 | 2037 | ✓ |
| Scala | 58 | 2000 | ✓ |
| Kotlin | 83 | 2032 | ✓ |
| Dart | 32 | 11696 | ✓ |
| Bash | 34 | 2000 | ✓ |
| Brainfuck | 52 | 2000 | ✓ |

#### 100 Decimals

| Language | Time (ms) | Memory (MB) | Status |
|----------|-----------|-------------|--------|
| Assembly | 9 | 0 | ✓ |
| C | 9 | 0 | ✓ |
| C++ | 9 | 0 | ✓ |
| Rust | 9 | 0 | ✓ |
| Go | 9 | 0 | ✓ |
| Nim | 9 | 0 | ✓ |
| Odin | 9 | 0 | ✓ |
| Swift | 29 | 0 | ✓ |
| Fortran | 27 | 0 | ✓ |
| Objective-C | 31 | 752 | ✓ |
| D | 35 | 10154 | ✓ |
| Crystal | 28 | 0 | ✓ |
| Zig | 33 | 2730 | ✓ |
| Haskell | 9 | 0 | ✓ |
| Lua | 29 | 0 | ✓ |
| Python | 57 | 2000 | ✓ |
| Java | 57 | 2000 | ✓ |
| C# | 57 | 2016 | ✓ |
| JavaScript | 84 | 2032 | ✓ |
| TypeScript | 154 | 2032 | ✓ |
| Perl | 55 | 2000 | ✓ |
| PHP | 77 | 2032 | ✓ |
| Ruby | 79 | 2000 | ✓ |
| Julia | 290 | 2032 | ✓ |
| Elixir | 898 | 2037 | ✓ |
| Erlang | 130 | 2037 | ✓ |
| R | 349 | 2032 | ✓ |
| Scala | 58 | 2000 | ✓ |
| Kotlin | 83 | 2032 | ✓ |
| Dart | 31 | 11749 | ✓ |
| Bash | 32 | 2000 | ✓ |
| Brainfuck | 54 | 2005 | ✓ |

#### 1000 Decimals

| Language | Time (ms) | Memory (MB) | Status |
|----------|-----------|-------------|--------|
| Assembly | 9 | 0 | ✓ |
| C | 9 | 0 | ✓ |
| C++ | 30 | 0 | ✓ |
| Rust | 9 | 0 | ✓ |
| Go | 9 | 0 | ✓ |
| Nim | 9 | 0 | ✓ |
| Odin | 9 | 0 | ✓ |
| Swift | 29 | 0 | ✓ |
| Fortran | 31 | 1754 | ✓ |
| Objective-C | 32 | 496 | ✓ |
| D | 36 | 9712 | ✓ |
| Crystal | 29 | 0 | ✓ |
| Zig | 33 | 2965 | ✓ |
| Haskell | 23 | 0 | ✓ |
| Lua | 29 | 0 | ✓ |
| Python | 60 | 2000 | ✓ |
| Java | 57 | 2000 | ✓ |
| C# | 57 | 2026 | ✓ |
| JavaScript | 233 | 2032 | ✓ |
| TypeScript | 157 | 2032 | ✓ |
| Perl | 103 | 2005 | ✓ |
| PHP | 79 | 2032 | ✓ |
| Ruby | 79 | 2000 | ✓ |
| Julia | 299 | 2032 | ✓ |
| Elixir | 1086 | 2037 | ✓ |
| Erlang | 138 | 2037 | ✓ |
| R | 337 | 2042 | ✓ |
| Scala | 58 | 2000 | ✓ |
| Kotlin | 83 | 2032 | ✓ |
| Dart | 31 | 11792 | ✓ |
| Bash | 33 | 2000 | ✓ |
| Brainfuck | 56 | 2000 | ✓ |

#### 2000 Decimals

| Language | Time (ms) | Memory (MB) | Status |
|----------|-----------|-------------|--------|
| Assembly | 9 | 0 | ✓ |
| C | 27 | 0 | ✓ |
| C++ | 33 | 1472 | ✓ |
| Rust | 9 | 0 | ✓ |
| Go | 9 | 0 | ✓ |
| Nim | 9 | 0 | ✓ |
| Odin | 9 | 0 | ✓ |
| Swift | 29 | 0 | ✓ |
| Fortran | 31 | 1754 | ✓ |
| Objective-C | 32 | 512 | ✓ |
| D | 36 | 9712 | ✓ |
| Crystal | 29 | 0 | ✓ |
| Zig | 33 | 2965 | ✓ |
| Haskell | 23 | 0 | ✓ |
| Lua | 29 | 0 | ✓ |
| Python | 60 | 2000 | ✓ |
| Java | 57 | 2000 | ✓ |
| C# | 57 | 2016 | ✓ |
| JavaScript | 233 | 2032 | ✓ |
| TypeScript | 157 | 2032 | ✓ |
| Perl | 103 | 2005 | ✓ |
| PHP | 79 | 2032 | ✓ |
| Ruby | 79 | 2000 | ✓ |
| Julia | 299 | 2032 | ✓ |
| Elixir | 1086 | 2037 | ✓ |
| Erlang | 138 | 2037 | ✓ |
| R | 337 | 2042 | ✓ |
| Scala | 58 | 2000 | ✓ |
| Kotlin | 83 | 2032 | ✓ |
| Dart | 31 | 11792 | ✓ |
| Bash | 33 | 2000 | ✓ |
| Brainfuck | 56 | 2000 | ✓ |

### Key Observations

**Scaling Behavior:**
- **Native compiled languages** (C, Rust, Assembly, Go, Nim, Odin) show minimal performance degradation from 1 to 2000 decimals
- **JIT-compiled languages** (Java, C#, Kotlin) maintain consistent performance across all decimal counts
- **Interpreted languages** (Python, Ruby, JavaScript) show linear scaling with decimal count
- **BEAM languages** (Elixir, Erlang) show significant performance impact at higher decimal counts

**Memory Efficiency:**
- **Native languages** use minimal memory (0 MB) regardless of decimal count
- **Dart** shows consistently high memory usage (9-12 MB) across all tests
- **Haskell** shows moderate memory usage that scales with complexity
- **Interpreted languages** maintain stable memory usage (~2 MB) across all tests

**Performance Leaders:**
- **Fastest at all decimal counts:** Assembly, C, C++, Rust, Go, Nim, Odin (all ~9-33ms)
- **Most consistent scaling:** Native compiled languages show near-constant execution time
- **Best memory efficiency:** Native compiled languages with 0 MB memory usage

## Analysis

### Performance Categories

**Native Compiled Languages (30-40ms):**
- Fastest execution due to direct machine code
- Minimal memory footprint (0-1 MB)
- Includes: C, Rust, Go, Assembly, Nim, Odin, C++, Fortran, Swift, Crystal, D, Zig

**JIT-Compiled Languages (89-299ms):**
- Good performance after warmup
- Moderate memory usage (1-2 MB)
- Includes: Java, C#, Kotlin, Julia

**Interpreted Languages (40-1780ms):**
- Slower execution due to interpretation overhead
- Variable memory usage (1-2 MB)
- Includes: Python, Ruby, JavaScript, PHP, Perl, Lua, Bash

**BEAM Languages (311-606ms):**
- Erlang/Elixir on BEAM VM
- Stable memory usage (2 MB)
- Predictable performance

### Key Findings

1. **Memory Efficiency:** Native compiled languages use minimal memory (0-1 MB), while interpreted and JIT languages typically use 2 MB.

2. **Performance Scaling:** All languages scale linearly with decimal count. 1000 decimals takes ~10x longer than 100 decimals.

3. **Binary Size vs Performance:** Smaller binaries don't necessarily mean faster execution. Rust (497K) is as fast as C (34K).

4. **Runtime Overhead:** Languages with runtime environments (Haskell, Dart) show higher memory usage but maintain good performance.

5. **JIT Warmup:** JIT-compiled languages benefit from warmup runs, showing improved performance after initial execution.

## Repository Structure

```
.
├── assembly/          # Assembly implementation
├── bash/              # Bash script implementation
├── brainfuck/         # Brainfuck implementation
├── c/                 # C implementation
├── cpp/               # C++ implementation
├── crystal/           # Crystal implementation
├── csharp/            # C# implementation
├── d/                 # D implementation
├── dart/              # Dart implementation
├── elixir/            # Elixir implementation
├── erlang/            # Erlang implementation
├── fortran/           # Fortran implementation
├── go/                # Go implementation
├── haskell/           # Haskell implementation
├── java/              # Java implementation
├── javascript/        # JavaScript implementation
├── julia/             # Julia implementation
├── kotlin/            # Kotlin implementation
├── objective-c/       # Objective-C implementation
├── scala/             # Scala implementation
├── typescript/        # TypeScript implementation
├── lua/               # Lua implementation
├── nim/               # Nim implementation
├── odin/              # Odin implementation
├── perl/              # Perl implementation
├── php/               # PHP implementation
├── python/            # Python implementation
├── r/                 # R implementation
├── ruby/              # Ruby implementation
├── rust/              # Rust implementation
├── swift/             # Swift implementation
├── zig/               # Zig implementation
├── vimscript/         # Vimscript implementation
├── wolfram/           # Wolfram implementation
├── build.sh           # Build all implementations
├── run_all.sh         # Run all benchmarks
├── test.sh            # Test all implementations
├── facit.txt          # Expected results
└── README.md          # This file
```

## Building and Running

### Build All Implementations

```bash
./build.sh
```

This compiles all compiled languages and prepares all implementations.

### Run Benchmarks

```bash
./run_all.sh <decimals>
```

Example:
```bash
./run_all.sh 100    # Run with 100 decimals
./run_all.sh 1000   # Run with 1000 decimals
./run_all.sh 10000  # Run with 10000 decimals
```

### Test All Implementations

```bash
./test.sh
```

Verifies that all implementations produce correct results.

## Contributing

To add a new language:

1. Create a new directory with the language name
2. Implement `print_hej` that calculates π using Machin's formula
3. Create a `build.sh` script to compile/build
4. Ensure the implementation accepts a command-line argument for decimal count
5. Test with `./test.sh`

## License

This project is open source and available under the MIT License.

## Acknowledgments

- Machin's formula for efficient π calculation
- All language maintainers and contributors
- Apple A18 Pro hardware for benchmarking