← SPL reference

newMath (lib/newMath.spl)

Pure SPL math: constants pi, e, and ln2; transcendental function.exp and function.ln (Chebyshev-fit minimax-style Horner polynomials, no Python math.exp / log in the interpreter); function.power uses exact integer loops when b is integral and exp(b * ln(a)) for fractional exponents. Also function.abs, GCD, etc. Load with use newMath; (extensionless import is allowed because the file starts with reqFileExtension.setVar(false);).

Import

use newMath;
print.number(pi);
print.number(function.power(2, 8));

Constants

• pi — double-precision π.
• e — Euler’s number (also used for scaling in exp).
• ln2 — ln(2); used when reducing ln(x) to [1,2).

Functions

• function.exp(x) — e^x: write x = n + f with n = round(x) and f ∈ [-0.5, 0.5], then e^x = e^n · e^f with a fixed polynomial for e^f.
• function.ln(x) — natural log for x > 0; returns null for x ≤ 0.
• function.power(a, b) — integer b: repeated multiply (exact for positive base; sign rule for negative a). Non-integer b and a > 0: exp(b·ln(a)).
• function.abs(a) — absolute value.
• function.isPrime(a) — trial division up to floor(sqrt(a)).
• function.gcd(a, b) — Euclidean GCD (recursive).
• function.factorial(n) — non-negative integers only; invalid input uses return.boolean(null).
• function.lcm(a, b) — via a*b/gcd(a,b).
• function.isInteger(a) — true when type.isNumber and value equals math.floor(a).

Implementation: someProgrammingLanguage/lib/newMath.spl