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The Problem: Traditional arrays can't handle 1,000,000,000,000,000,000 elements. The memory doesn't exist.

The Solution: Coderive creates mathematical formulas instead of allocating arrays.

The Benchmark:

```java arr := [0 to 1Qi] // 1 quintillion elements start := timer() for i in [0 to 1Qi] { arr[i] = i % 2 == 0 ? "even" : "odd" } time := timer() - start // 0.898769 ms ```

How it works:

· No actual array allocation · Creates formula: f(i) = (i % 2 == 0) ? "even" : "odd" · Evaluates on demand: arr[24000] → "even" instantly

Random access works:

```java arr[2] // "even" arr[3] // "odd" arr[24000] // "even" ```

More patterns:

· 2-statement optimization: 0.185ms · Variable substitution: 0.087ms · Range slicing: data[10 to 20], data[by 2 in 10 to 30]

Why it matters:

· Scientific computing with massive parameter spaces · Exhaustive algorithm testing · Pattern-based optimization beats traditional lazy evaluation

Not magic: Pattern detection + symbolic computation + lazy evaluation.

Repo: github.com/DanexCodr/Coderive

The insight: The most efficient way to handle infinite data is to not store it—just describe it mathematically.


# Changelog

## [v0.4.0] - Infinite Possibilities - December 21, 2025

### Breaking Changes

- *Removed `input` and `output` keywords* - Replaced with method calls `Sys.in(...)` and `Sys.out(...)`.

### Major Features

- *Class Inheritance* - Added class inheritance with the `is` keyword. - *Class Constructors* - Added class constructors using `this` as a special method name. - *Class Calling* - Added support for direct class calling. - *Flexible Control Flows* - Enhanced control flow structures to be more flexible while maintaining safety. - *Enhanced Loop Safety* - Added checks to prevent loop steps of 0 and ensure loops do not reverse from their stated start and end direction. - *External Array Iteration* - Added support for iterating over external arrays within loops. - *Builtin Method Syntax* - Removed the requirement for `{}` bodies for builtin methods. - *Dedicated Registry Classes* - Added separate Registry classes for Builtin and Global methods. - *Global I/O Methods* - Added `in()` and `out()` as both Builtin and Global methods for accessibility.

### Engine & Parser Improvements

- *Fixed BinaryOpNode Bug* - Resolved a deeply hidden bug in the BinaryOpNode. - *Optimized Array Iteration* - Added formula-based loops for O(1) iteration over natural arrays. - *Proper Code Instantiation* - Fixed issues related to code instantiation.

---

## [v0.3.0] - The Design Leap - December 15, 2025

### Breaking Changes - *Completely abandoned `~|` to instead use `::` return slot operator* - Embracing suffix-style design, fully abandoning the prefix-style. - *Replaced the stack-based multi-arch compiler with a TAC IR* - Ensuring lesser systemic bugs to show. (ongoing, not yet prioritized) - *Almost all classes renamed updated, and repackaged* - Full refactoring of classes and their packages for more cleaner view. - *Fully removed ANTLR Dependency* - To focus on the language implementation and lessen dependencies. - *Replaced `<type><ws><name>` to use `<name><colon><optional-ws><type>` instead for variable declaration.* - `name: type` for declaration, `name: type = value` for explicit declaration and assignment, `name := value` for inferred declaration and assignment,`name = value` for reassignment

### Major Features - *Three World System* - Added three distinct types of programs for Coderive: Script, Method-only, and Module. - *From String to Text* - Replaced the previous `string` keyword with `text`. - *Natural Array* - Added supports for range for arrays - Lazy array generation - Immutable by default but can be mutable (Note: "Use moderately") - Supports text as natural array. - *Added numeric shorthands* - Added support for common numeric shorthands: `K, M, B, T, Q, Qi, e` - Case for this feature will be case-sensitive. - *Added parameter skipping and named arguments support*

> Check for other new minor features if you have free time...

### Documentation - Updated all demo files showcasing the new updates - Added `ParamSkipDemo.cod` file for testing parameter skipping.

---

## [v0.2.3] - The Great Logic Revolution - November 23, 2025

### Breaking Changes - *Completely abandoned `&&` and `||` operators* - Embracing quantifier-first design

### Major Features - *Quantifier-First Logic System* - Replaced traditional boolean operators with expressive quantifiers - `any[]` and `all[]` syntax for clear, intentional logic - Natural language syntax that lowers learning curve - Eliminates common operator precedence mistakes

### Syntax Evolution

```kotlin // Clean, consistent bracket-based syntax if any[isReady, hasBackup, forceMode] if all[scores >= 60, !isFailed, attempts < 3] user == any[admin, moderator, owner] ``` ...


just as a virtual machine is not an actual machine, what I meant about iteration is being a 'virtual iteration'.


You're right about hardware limits, but wrong about what's being 'redefined.' Coderive redefines developer productivity for certain computationally hard problems to solve:

Before Coderive: To explore 1 trillion cases, you'd need:

· A cluster of machines · Distributed computing framework (Spark/Hadoop) · More time for setup

With Coderive:

```java results := [1 to 1T] // Conceptually 1 trillion for i in results { results[i] = analyzeCase(i) } // Check interesting cases immediately ```

It's not about computing faster than physics allows. It's about thinking and exploring with ease without infrastructure constraints.


// Other sample

collatz := [1 to 1T] for n in collatz { steps := 0 current := n while current != 1 { current = if current % 2 == 0 { current/2 } else {3*current + 1} steps += 1 } collatz[n] = steps }

// On my phone, I can instantly check: outln("27 takes " + collatz[27] + " steps") // 111 steps outln("871 takes " + collatz[871] + " steps") // 178 steps


That doesn't explain anything.


You've highlighted exactly why my example was poorly chosen - it sounds physically impossible. Let me explain what's actually happening:

We're NOT loading 13.66 days of 8K video. That would indeed be ~2.5 petabytes.

What we are doing is creating a virtual processing pipeline that could process that much data if you had it, but instead processes only what you actually need.

The Actual Code Behind This:

```java // 1. Virtual reference, NOT loading video := virtual_source("8k_video.mp4") // O(1) memory - just metadata

// 2. Algorithm expressed at full scale for frame in [0 to 33M] { // VIRTUAL: 33 million frames for pixel in [0 to 33M] { // VIRTUAL: 33 million pixels brightness = calculate_brightness(pixel) // FORMULA, not computation

        // Creates conditional formula
        if brightness > 128 {
            pixels[pixel] = 255
        } elif brightness > 64 {
            pixels[pixel] = 128  
        } else {
            pixels[pixel] = 0
        }
    }
}

// 3. Only compute specific frames (e.g., every 1000th frame for preview) for preview_frame in [0, 1000, 2000, 3000] { actual_pixels = video[preview_frame].compute() // Only NOW computes display(actual_pixels) // These 4 frames only } ```

What Actually Happens in 50ms:

1. 0-45ms: Pattern detection creates optimization formulas 2. 5ms: Compute the few frames actually requested 3. 0ms: Loading video (never happens)

Better, More Honest Example:

A real use case would be:

```java // Video editing app on phone // User wants to apply filter to 10-second clip (240 frames)

clip_frames := video[frame_start to frame_end] // 240 frames, virtual filter := create_filter("vintage") // Filter definition

// Design filter at full quality for frame in clip_frames { frame.apply_filter(filter) // Creates formula application }

// Preview instantly at lower resolution preview = clip_frames[0].downsample(0.25).compute() // Fast preview

// Render only when user confirms if user_confirms { for frame in clip_frames { output = frame.compute_full_quality() // Now compute 240 frames save(output) } } ```

The Real Innovation:

Separating algorithm design from data scale.

You can:

· Design algorithms assuming unlimited data · Test with tiny samples · Deploy to process only what's needed · Scale up seamlessly when you have infrastructure

My Mistake:

The '50ms for 937 billion pixels' claim was misleading. What I should have said:

'50ms to create a processing algorithm that could handle 937 billion pixels, then instant access to any specific pixel.'

The value isn't in processing everything instantly (impossible), but in designing at scale without scale anxiety.


Most languages force you to choose: either compute everything upfront (O(n) memory) or write complex lazy evaluation code. Coderive gives you declarative intent with automatic optimization. You write what you mean (for i in [0 to 1Qi]), and the runtime figures out the optimal execution strategy. This is like having a JIT compiler that understands mathematical patterns, not just bytecode."


yeah. I should have been more specific that it takes an imperative-like syntax and not actually iterate it internally but takes the formula it can use to process the loop much faster. Here is an actual output too:

Enter file path or press Enter for default [/storage/emulated/0/JavaNIDE/Programming-Language/Coderive/executables/LazyLoop.cod]: > Using default file: /storage/emulated/0/JavaNIDE/Programming-Language/Coderive/executables/LazyLoop.cod Testing timer() function: Timer resolution: 0.023616 ms

Testing condition evaluation: 2 % 2 = 0 2 % 2 == 0 = true 3 % 2 = 1 3 % 2 == 0 = false 24000 % 2 = 0.0 24000 % 2 == 0 = true

Conditional formula creation time: 2.657539 ms

Results: arr[2] = even arr[3] = odd arr[24000] = even arr[24001] = odd

=== Testing 2-statement pattern optimization === Pattern optimization time: 0.137 ms arr2[3] = 14 (should be 33 + 5 = 14) arr2[5] = 30 (should be 55 + 5 = 30) arr2[10] = 105 (should be 1010 + 5 = 105)

Variable substitution time: 0.064384 ms arr3[4] = 1 (should be 42 - 7 = 1) arr3[8] = 9 (should be 82 - 7 = 9)

=== Testing conditional + 2-statement === Mixed optimization time: 3.253846 ms arr4[30] = 30 (should be 30) arr4[60] = 121 (should be 602 + 1 = 121)

=== All tests completed ===

---

That is from this source:

unit test

share LazyLoop { share main() { // Test timer() first - simplified outln("Testing timer() function:") t1 := timer() t2 := timer() outln("Timer resolution: " + (t2 - t1) + " ms") outln()

        arr := [0 to 1Qi]
        
        // Test the condition directly
        outln("Testing condition evaluation:")
        outln("2 % 2 = " + (2 % 2))
        outln("2 % 2 == 0 = " + (2 % 2 == 0))
        outln("3 % 2 = " + (3 % 2))
        outln("3 % 2 == 0 = " + (3 % 2 == 0))
        
        // Also test with larger numbers
        outln("24000 % 2 = " + (24K % 2))
        outln("24000 % 2 == 0 = " + (24K % 2 == 0))
        
        // Time the loop optimization
        start := timer()
        for i in [0 to 1Qi] {
            if i % 2 == 0 {
                arr[i] = "even"
            } elif i % 2 == 1 {
                arr[i] = "odd"
            }
        }
        loop_time := timer() - start
        outln("\nConditional formula creation time: " + loop_time + " ms")

        outln("\nResults:")
        outln("arr[2] = " + arr[2])
        outln("arr[3] = " + arr[3])
        outln("arr[24000] = " + arr[24K])
        outln("arr[24001] = " + arr[24001])
        
        // Test the 2-statement pattern optimization with timing
        outln("\n=== Testing 2-statement pattern optimization ===")
        
        arr2 := [0 to 1Qi]
        
        start = timer()
        for i in arr2 {
            squared := i * i
            arr2[i] = squared + 5
        }
        pattern_time := timer() - start
        outln("Pattern optimization time: " + pattern_time + " ms")
        
        outln("arr2[3] = " + arr2[3] + " (should be 3*3 + 5 = 14)")
        outln("arr2[5] = " + arr2[5] + " (should be 5*5 + 5 = 30)")
        outln("arr2[10] = " + arr2[10] + " (should be 10*10 + 5 = 105)")
        
        // Test with different variable names
        arr3 := [0 to 1Qi]
        
        start = timer()
        for i in arr3 {
            temp := i * 2
            arr3[i] = temp - 7
        }
        var_time := timer() - start
        outln("\nVariable substitution time: " + var_time + " ms")
        
        outln("arr3[4] = " + arr3[4] + " (should be 4*2 - 7 = 1)")
        outln("arr3[8] = " + arr3[8] + " (should be 8*2 - 7 = 9)")
        
        // Test that it still works with conditional
        outln("\n=== Testing conditional + 2-statement ===")
        
        arr4 := [0 to 100]
        
        start = timer()
        for i in arr4 {
            if i > 50 {
                doubled := i * 2
                arr4[i] = doubled + 1
            } else {
                arr4[i] = i
            }
        }
        mixed_time := timer() - start
        outln("Mixed optimization time: " + mixed_time + " ms")
        
        outln("arr4[30] = " + arr4[30] + " (should be 30)")
        outln("arr4[60] = " + arr4[60] + " (should be 60*2 + 1 = 121)")

        outln("\n=== All tests completed ===")
    }
}


it only compute what was needed on the right time. See this output for example:

Enter file path or press Enter for default [/storage/emulated/0/JavaNIDE/Programming-Language/Coderive/executables/LazyLoop.cod]: > Using default file: /storage/emulated/0/JavaNIDE/Programming-Language/Coderive/executables/LazyLoop.cod Testing timer() function: Timer resolution: 0.023616 ms

Testing condition evaluation: 2 % 2 = 0 2 % 2 == 0 = true 3 % 2 = 1 3 % 2 == 0 = false 24000 % 2 = 0.0 24000 % 2 == 0 = true

Conditional formula creation time: 2.657539 ms

Results: arr[2] = even arr[3] = odd arr[24000] = even arr[24001] = odd

=== Testing 2-statement pattern optimization === Pattern optimization time: 0.137 ms arr2[3] = 14 (should be 33 + 5 = 14) arr2[5] = 30 (should be 55 + 5 = 30) arr2[10] = 105 (should be 1010 + 5 = 105)

Variable substitution time: 0.064384 ms arr3[4] = 1 (should be 42 - 7 = 1) arr3[8] = 9 (should be 82 - 7 = 9)

=== Testing conditional + 2-statement === Mixed optimization time: 3.253846 ms arr4[30] = 30 (should be 30) arr4[60] = 121 (should be 602 + 1 = 121)

=== All tests completed ===

---

From:

unit test

share LazyLoop { share main() { // Test timer() first - simplified outln("Testing timer() function:") t1 := timer() t2 := timer() outln("Timer resolution: " + (t2 - t1) + " ms") outln()

        arr := [0 to 1Qi]
        
        // Test the condition directly
        outln("Testing condition evaluation:")
        outln("2 % 2 = " + (2 % 2))
        outln("2 % 2 == 0 = " + (2 % 2 == 0))
        outln("3 % 2 = " + (3 % 2))
        outln("3 % 2 == 0 = " + (3 % 2 == 0))
        
        // Also test with larger numbers
        outln("24000 % 2 = " + (24K % 2))
        outln("24000 % 2 == 0 = " + (24K % 2 == 0))
        
        // Time the loop optimization
        start := timer()
        for i in [0 to 1Qi] {
            if i % 2 == 0 {
                arr[i] = "even"
            } elif i % 2 == 1 {
                arr[i] = "odd"
            }
        }
        loop_time := timer() - start
        outln("\nConditional formula creation time: " + loop_time + " ms")

        outln("\nResults:")
        outln("arr[2] = " + arr[2])
        outln("arr[3] = " + arr[3])
        outln("arr[24000] = " + arr[24K])
        outln("arr[24001] = " + arr[24001])
        
        // Test the 2-statement pattern optimization with timing
        outln("\n=== Testing 2-statement pattern optimization ===")
        
        arr2 := [0 to 1Qi]
        
        start = timer()
        for i in arr2 {
            squared := i * i
            arr2[i] = squared + 5
        }
        pattern_time := timer() - start
        outln("Pattern optimization time: " + pattern_time + " ms")
        
        outln("arr2[3] = " + arr2[3] + " (should be 3*3 + 5 = 14)")
        outln("arr2[5] = " + arr2[5] + " (should be 5*5 + 5 = 30)")
        outln("arr2[10] = " + arr2[10] + " (should be 10*10 + 5 = 105)")
        
        // Test with different variable names
        arr3 := [0 to 1Qi]
        
        start = timer()
        for i in arr3 {
            temp := i * 2
            arr3[i] = temp - 7
        }
        var_time := timer() - start
        outln("\nVariable substitution time: " + var_time + " ms")
        
        outln("arr3[4] = " + arr3[4] + " (should be 4*2 - 7 = 1)")
        outln("arr3[8] = " + arr3[8] + " (should be 8*2 - 7 = 9)")
        
        // Test that it still works with conditional
        outln("\n=== Testing conditional + 2-statement ===")
        
        arr4 := [0 to 100]
        
        start = timer()
        for i in arr4 {
            if i > 50 {
                doubled := i * 2
                arr4[i] = doubled + 1
            } else {
                arr4[i] = i
            }
        }
        mixed_time := timer() - start
        outln("Mixed optimization time: " + mixed_time + " ms")
        
        outln("arr4[30] = " + arr4[30] + " (should be 30)")
        outln("arr4[60] = " + arr4[60] + " (should be 60*2 + 1 = 121)")

        outln("\n=== All tests completed ===")
    }
}


it's because I only have a phone to use for coding. Tho, I am planning to make it more general. Mobile development is just one of the main goals of this language.


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