Reference · Math

math.asinh

math.asinh(num) -> float

What it does

The inverse hyperbolic sine: the number whose math.sinh is the argument, as a float, as Python's math.asinh. It takes any number.

Examples

print(math.asinh(0), math.asinh(1), math.asinh(-1))print(math.asinh(math.sinh(2)))

0.0 0.881373587019543 -0.8813735870195432.0

Edge cases

• The function is odd: math.asinh(-x) is -math.asinh(x).
• A huge number is fine; the answer grows like a logarithm: math.asinh(1e300) is about 691.
• inf gives inf, -inf gives -inf, NaN gives NaN.

print(math.asinh(-3) == -math.asinh(3))print(math.asinh(1e300), math.log(2e300))print(math.asinh(math.inf), math.asinh(-math.inf), math.asinh(math.nan))

true691.4686750787736 691.4686750787737inf -inf NaN

Errors

There is no domain error. A value that is not a number is a runtime error, not an error value: it stops the request; a decimal is converted first with float.

print(math.asinh("1"))

line 1: `math.asinh` expects a number as argument 1, got str

Chaining

print(1 | math.asinh)print([0, 1, 10] | map(math.asinh))

0.881373587019543[0.0, 0.881373587019543, 2.99822295029797]

See also

math.sinh, math.acosh, math.atanh, math.log

Edit this page on GitHub · every example's output was made by running it (tools/refcheck.mjs) · questions on Discord or r/quillo