| A | B |
|---|---|
| Number-theoretic functions | … |
comb(n, k) | Number of ways to choose k items from n items without repetition and without order |
factorial(n) | n factorial |
gcd(﹡integers) | Greatest common divisor of the integer arguments |
isqrt(n) | Integer square root of a nonnegative integer n |
lcm(﹡integers) | Least common multiple of the integer arguments |
perm(n, k) | Number of ways to choose k items from n items without repetition and with order |
| Floating point arithmetic | … |
ceil(x) | Ceiling of x, the smallest integer greater than or equal to x |
fabs(x) | Absolute value of x |
floor(x) | Floor of x, the largest integer less than or equal to x |
fma(x, y, z) | Fused multiply-add operation: (x ﹡ y) + z |
fmod(x, y) | Remainder of division x / y |
modf(x) | Fractional and integer parts of x |
remainder(x, y) | Remainder of x with respect to y |
trunc(x) | Integer part of x |
| Floating point manipulation functions | … |
copysign(x, y) | Magnitude (absolute value) of x with the sign of y |
frexp(x) | Mantissa and exponent of x |
isclose(a, b, rel_tol, abs_tol) | Check if the values a and b are close to each other |
isfinite(x) | Check if x is neither an infinity nor a NaN |
isinf(x) | Check if x is a positive or negative infinity |
isnan(x) | Check if x is a NaN (not a number) |
ldexp(x, i) | x ﹡ (2﹡﹡i), inverse of function frexp() |
nextafter(x, y, steps) | Floating-point value steps steps after x towards y |
ulp(x) | Value of the least significant bit of x |
| Power, exponential and logarithmic functions | … |
cbrt(x) | Cube root of x |
exp(x) | e raised to the power x |
exp2(x) | 2 raised to the power x |
expm1(x) | e raised to the power x, minus 1 |
log(x, base) | Logarithm of x to the given base (e by default) |
log1p(x) | Natural logarithm of 1+x (base e) |
log2(x) | Base-2 logarithm of x |
log10(x) | Base-10 logarithm of x |
pow(x, y) | x raised to the power y |
sqrt(x) | Square root of x |
| Summation and product functions | … |
dist(p, q) | Euclidean distance between two points p and q given as an iterable of coordinates |
fsum(iterable) | Sum of values in the input iterable |
hypot(﹡coordinates) | Euclidean norm of an iterable of coordinates |
prod(iterable, start) | Product of elements in the input iterable with a start value |
sumprod(p, q) | Sum of products from two iterables p and q |
| Angular conversion | … |
degrees(x) | Convert angle x from radians to degrees |
radians(x) | Convert angle x from degrees to radians |
| Trigonometric functions | … |
acos(x) | Arc cosine of x |
asin(x) | Arc sine of x |
atan(x) | Arc tangent of x |
atan2(y, x) | atan(y / x) |
cos(x) | Cosine of x |
sin(x) | Sine of x |
tan(x) | Tangent of x |
| Hyperbolic functions | … |
acosh(x) | Inverse hyperbolic cosine of x |
asinh(x) | Inverse hyperbolic sine of x |
atanh(x) | Inverse hyperbolic tangent of x |
cosh(x) | Hyperbolic cosine of x |
sinh(x) | Hyperbolic sine of x |
tanh(x) | Hyperbolic tangent of x |
| Special functions | … |
erf(x) | Error function at x |
erfc(x) | Complementary error function at x |
gamma(x) | Gamma function at x |
lgamma(x) | Natural logarithm of the absolute value of the Gamma function at x |
| Constants | … |
pi | π = 3.141592… |
e | e = 2.718281… |
tau | τ = 2π = 6.283185… |
inf | Positive infinity |
nan | “Not a number” (NaN) |
(echo:: @ ᯤ)