feat: add constants/float32/max-safe-nth-lucas

[aayush0325]

Resolves #3336

Description

What is the purpose of this pull request?

This pull request:

• adds constants/float32/max-safe-nth-lucas

Related Issues

Does this pull request have any related issues?

This pull request:

• resolves [RFC]: add constants/float32/max-safe-nth-lucas #3336

Questions

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No.

Other

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No.

Checklist

Please ensure the following tasks are completed before submitting this pull request.

• Read, understood, and followed the contributing guidelines.

---

@stdlib-js/reviewers

[stdlib-bot]

Coverage Report

Package	Statements	Branches	Functions	Lines
constants/float32/max-safe-nth-lucas	$\color{green}51/51$ $\color{green}+100.00\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{green}0/0$ $\color{green}+100.00\%$	$\color{green}51/51$ $\color{green}+100.00\%$

The above coverage report was generated for the changes in this PR.

[aayush0325]

I arrived at this value using the following code

function lucas(n) {
    if (n < 0) return null;
    if (n === 0) return 2;
    if (n === 1) return 1;
    
    let a = 2;
    let b = 1;
    let c;
    
    for (let i = 2; i <= n; i++) {
        c = a + b;
        a = b;
        b = c;
    }
    return b;
}

const MAX_SAFE_FLOAT32 = 16777215; // taken from @stdlib/constants/float32/max-safe-integer

for (let n = 0; n < 100; n++) {
    const lucasValue = lucas(n);
    
    if (lucasValue > MAX_SAFE_FLOAT32) {
        console.log(`Max safe n: ${n-1}`);
        console.log(`Last safe Lucas value: ${lucas(n-1)}`);
        console.log(`First unsafe Lucas value: ${lucasValue}`);
        break;
    }
}

which gave the output

Max safe n: 34
Last safe Lucas value: 12752043
First unsafe Lucas value: 20633239

[kgryte]

LGTM. Thanks, @aayush0325!

[stdlib-bot]

PR Commit Message

feat: add `constants/float32/max-safe-nth-lucas`

PR-URL: https://github.com/stdlib-js/stdlib/pull/3337
Closes: https://github.com/stdlib-js/stdlib/issues/3336

Co-authored-by: Athan Reines <kgryte@gmail.com>
Co-authored-by: aayush0325 <aayush25khanna@gmail,com>
Reviewed-by: Athan Reines <kgryte@gmail.com>
Signed-off-by: Athan <kgryte@gmail.com>

Please review the above commit message and make any necessary adjustments.

[aayush0325]

There is a typo here that must be fixed, should i reopen this PR and make a commit to fix this or should i make a new PR here @kgryte, I'm really sorry for this.