std/math

module math

Numbers, in the prelude. abs, pow and sign take an Int or a Float, and abs and sign a Decimal too; round takes a Float or a Decimal, and the rest take a Float. float, int and decimal convert between the three, since no number widens on its own except an Int beside a Decimal.

• abs — self without its sign, at its own type: abs(-3) is 3, and abs(-1.50) is 1.50.
• pow — self raised to exponent, both of one type: pow(2, 10) is 1024.
• sign — -1, 0 or 1 by the sign of self, as an Int: sign(-0.5) is -1.
• float — self as a Float, the Float nearest it: float(1.10) is 1.1.
• int — The integer part of self, as an Int, the fraction dropped toward zero: int(-2.9f) is -2.
• decimal — self as a Decimal: an Int exactly, and a Float by the shortest digits that read back as it: decimal(0.1f) is 0.1.
• gcd — The greatest common divisor of self and other, at least 0: gcd(12, 18) is 6, and gcd(0, 0) is 0.
• sqrt — The square root of self: sqrt(2.0f) is 1.4142135623730951.
• floor — The greatest whole number not above self, as a Float: floor(-1.5f) is -2.0.
• ceil — The least whole number not below self, as a Float: ceil(-1.5f) is -1.0.
• round — The whole number nearest self, as a Float; a value halfway between two rounds away from zero: 2.5f | round is 3.0.
• exp — e raised to self: exp(1.0f) is 2.718281828459045.
• ln — The natural logarithm of self: ln(1.0f) is 0.0.
• log10 — The base-10 logarithm of self: log10(1000.0f) is 3.0.
• sin — The sine of self, an angle in radians: sin(0.0f) is 0.0.
• cos — The cosine of self, an angle in radians: cos(0.0f) is 1.0.
• tan — The tangent of self, an angle in radians: tan(0.0f) is 0.0.