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4.14.3 number operations
+
- addition
-
- negation or subtraction
*
- multiplication
/
- division
%, mod
- modulo
^, **
- power, exponentiation (by an integer)
<=, >=, ==, <>
- comparison
mod
- integer modulo (the remainder of the division
div), always non-negative
Note: Quotient and exponentiation is only recognized as a
number expression if it is already a number, see Miscellaneous oddities.
For the behavior of comparison operators in rings with
ground field different from real or the rational numbers, see boolean expressions.
Example:
| | ring r=0,x,dp;
number n = 1/2 +1/3;
n;
==> 5/6
n/2;
==> 5/12
1/2/3;
==> 1/6
1/2 * 1/3;
==> 1/6
n = 2;
n^-2;
==> 1/4
// the following oddities appear here
2/(2+3);
==> // ** int division with `/`: use `div` instead in line >> 2/(2+3);<<
==> 0
number(2)/(2+3);
==> 2/5
2^-2; // for int's exponent must be non-negative
==> ? exponent must be non-negative
==> ? error occurred in or before ./examples/number_operations.sing line 1\
2: ` 2^-2; // for int's exponent must be non-negative`
number(2)^-2;
==> 1/4
3/4>=2/5;
==> 1
2/6==1/3;
==> 1
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