(lispkit math util)

Library `(lispkit math util)` implements mathematical utility functions.

Implements the sign/signum function. Returns -1 if x is negative, 0 (or a signed zero, when inexact) if x is zero, and 1 if x is a positive number. `sgn` fails if x is not a real number.

Returns a list of numbers by iterating from integer lo to integer hi (both inclusive) and applying function f to each integer in the range for which guard returns true. The default guard always returns true. The default for f is `identity`.

Returns the sum of all numbers of list xs. This procedure fails if there is an element in xs which is not a number.

Returns the product of all numbers of list xs. This procedure fails if there is an element in xs which is not a number.

Returns the minimum of all numbers of list xs. This procedure fails if there is an element in xs which is not a number.

Returns the maximum of all numbers of list xs. This procedure fails if there is an element in xs which is not a number.

Conjugates number x. For real numbers x, `conjugate` returns x, otherwise x is being returned with the opposite sign for the imaginary part.

Returns `#t` if integer n is a prime number, `#f` otherwise.

Returns a NaN whose sign bit is equal to neg (`#t` for negative, `#f` for positive), whose quiet bit is equal to quiet (`#t` for quiet, `#f` for signaling), and whose payload is the positive exact integer payload. It is an error if payload is larger than a NaN can hold.

Returns `#t` if the sign bit of x is 1 and `#f` otherwise.

Returns `#t` if x is a quiet NaN.

Returns the payload bits of floating-point number x as a positive exact integer.

Returns `#t` if x and y have the same sign, quiet bit, and payload; and `#f` otherwise.

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