the smallest positive floating-point number x such that 1 + x != 1. It equals base^ulp.digits if either base is 2 or rounding is 0; otherwise, it is (base^ulp.digits) / 2.

a small positive floating-point number x such that 1 - x != 1. It equals base^neg.ulp.digits if base is 2 or round is 0; otherwise, it is (base^neg.ulp.digits) / 2. As neg.ulp.digits is bounded below by -(digits + 3), neg.eps may not be the smallest number that can alter 1 by subtraction.

the smallest non-vanishing normalized floating-point power of the radix, i.e., base^min.exp.

the largest finite floating-point number. Typically, it is equal to (1 - neg.eps) * base^max.exp, but on some machines it is only the second, or perhaps third, largest number, being too small by 1 or 2 units in the last digit of the significand.

the radix for the floating-point representation

the number of base digits in the floating-point significand

the rounding action.
0 if floating-point addition chops;
1 if floating-point addition rounds, but not in the IEEE style;
2 if floating-point addition rounds in the IEEE style;
3 if floating-point addition chops, and there is partial underflow;
4 if floating-point addition rounds, but not in the IEEE style, and there is partial underflow;
5 if floating-point addition rounds in the IEEE style, and there is partial underflow

the number of guard digits for multiplication with truncating arithmetic. It is 1 if floating-point arithmetic truncates and more than digits base base digits participate in the post-normalization shift of the floating-point significand in multiplication, and 0 otherwise.

the largest negative integer i such that 1 + base^i != 1, except that it is bounded below by -(digits + 3).

the largest negative integer i such that 1 - base^i != 1, except that it is bounded below by -(digits + 3).

the number of bits (decimal places if base is 10) reserved for the representation of the exponent (including the bias or sign) of a floating-point number

the largest in magnitude negative integer i such that base ^ i is positive and normalized.

the smallest positive power of base that overflows.

the largest integer which can be represented.