Summary

A mathematical constant is a real number with a fixed and unambiguously defined value which is used, and useful, across multiple mathematical problems. Examples of mathematical constants are:

e, the base of the natural logarithm, equal to 2.7182818284590452353602874713527...
ln(10), the natural logarithm of 10, equal to 2.3025850929940456840179914546844...
ln(2), the natural logarithm of 2, equal to 0.69314718055994530941723212145818...
log(e), the base 10 logarithm of e, equal to 0.43429448190325182765112891891661...
log₂(e), the base 2 logarithm of e, equal to 1.4426950408889634073599246810019...
π, the ratio of a circle's circumference to its diameter, equal to 3.1415926535897932384626433832795...
√½, the square root of one-half, equal to 0.70710678118654752440084436210485...
√2, the square root of 2, equal to 1.4142135623730950488016887242097...

In order to carry out mathematics using ECMAScript it is advantageous to be able to make use of mathematical constants. As a result, ECMAScript's Math object has, since the very earliest versions of the programming language, exposed the following respective value properties, which have the following exact values:

Math.E = 2.718281828459045090795598298427648842334747314453125
Math.LN10 = 2.30258509299404590109361379290930926799774169921875
Math.LN2 = 0.69314718055994528622676398299518041312694549560546875
Math.LOG10E = 0.43429448190325181666793241674895398318767547607421875
Math.LOG2E = 1.442695040888963387004650940070860087871551513671875
Math.PI = 3.141592653589793115997963468544185161590576171875
Math.SQRT1_2 = 0.70710678118654757273731092936941422522068023681640625
Math.SQRT2 = 1.4142135623730951454746218587388284504413604736328125

Note that these values are, of necessity, approximated. They are not exactly equal to the actual mathematical constants, because the constants are all irrational and therefore impossible to represent as IEEE 754 64-bit floating point numbers. Despite this, these approximate values are still useful for doing mathematics in ECMAScript.

However, as of ECMAScript 2020, ECMAScript has a second numeric type, alongside the IEEE 754 64-bit floating point number: the BigInt.

Therefore, for symmetry, this proposal introduces a corresponding collection of mathematical constants for use with BigInt calculations. Again, these values are, of necessity, approximated. They are as follows:

BigInt.E = 3
BigInt.LN10 = 2
BigInt.LN2 = 1
BigInt.LOG10E = 0
BigInt.LOG2E = 1
BigInt.PI = 3
BigInt.SQRT1_2 = 1
BigInt.SQRT2 = 1

But seriously though

When do we get BigInt.abs() and BigInt.sign()? Please? Yes, I can write these two-and-a-half lines of code myself every time but it's frankly humiliating.

Edit: Getting closer!

Some quasi-serious suggestions for BigInt constants which aren't available as floats

BigInt.AVOGADRO, the Avogadro constant, equal to 602215076000000000000000
- Nearest float is 602215075999999997247488
BigInt.MONSTER, the degree of the Monster Group, equal to 808017424794512875886459904961710757005754368000000000
- Nearest float is 808017424794512849313485887658987330265356840558657536
BigInt.GOOGOL, 10¹⁰⁰, equal to 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
- Nearest float is 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104