diff --git a/docs/alpha/michelson.rst b/docs/alpha/michelson.rst index 98ed4d01c2517a911f357a6fdb57359cceffb897..cc248cdcb8dbf2db39297c0f8bcdde18e990596c 100644 --- a/docs/alpha/michelson.rst +++ b/docs/alpha/michelson.rst @@ -595,171 +595,23 @@ A detailed description of the following instructions can be found in the `intera Operations on integers and natural numbers ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -Integers and naturals are arbitrary-precision, meaning that the only size -limit is gas. - -- ``NEG`` - -:: - - :: int : 'S -> int : 'S - :: nat : 'S -> int : 'S - - > NEG / x : S => -x : S - -- ``ABS`` - -:: - - :: int : 'S -> nat : 'S - - > ABS / x : S => abs (x) : S - -- ``ISNAT`` - -:: - - :: int : 'S -> option nat : 'S - - > ISNAT / x : S => Some (x) : S - iff x >= 0 - - > ISNAT / x : S => None : S - iff x < 0 - -- ``INT`` - -:: - - :: nat : 'S -> int : 'S - - > INT / x : S => x : S - -- ``ADD`` - -:: - - :: int : int : 'S -> int : 'S - :: int : nat : 'S -> int : 'S - :: nat : int : 'S -> int : 'S - :: nat : nat : 'S -> nat : 'S - - > ADD / x : y : S => (x + y) : S - -- ``SUB`` - -:: - - :: int : int : 'S -> int : 'S - :: int : nat : 'S -> int : 'S - :: nat : int : 'S -> int : 'S - :: nat : nat : 'S -> int : 'S - - > SUB / x : y : S => (x - y) : S - -- ``MUL`` - -:: - - :: int : int : 'S -> int : 'S - :: int : nat : 'S -> int : 'S - :: nat : int : 'S -> int : 'S - :: nat : nat : 'S -> nat : 'S - - > MUL / x : y : S => (x * y) : S - -- ``EDIV``: Perform Euclidean division - -:: - - :: int : int : 'S -> option (pair int nat) : 'S - :: int : nat : 'S -> option (pair int nat) : 'S - :: nat : int : 'S -> option (pair int nat) : 'S - :: nat : nat : 'S -> option (pair nat nat) : 'S - - > EDIV / x : 0 : S => None : S - > EDIV / x : y : S => Some (Pair (x / y) (x % y)) : S - iff y <> 0 - -Bitwise logical operators are also available on unsigned integers. - -- ``OR`` - -:: - - :: nat : nat : 'S -> nat : 'S - - > OR / x : y : S => (x | y) : S - -- ``AND``: (also available when the top operand is signed) - -:: - - :: nat : nat : 'S -> nat : 'S - :: int : nat : 'S -> nat : 'S - - > AND / x : y : S => (x & y) : S - -- ``XOR`` - -:: - - :: nat : nat : 'S -> nat : 'S - - > XOR / x : y : S => (x ^ y) : S - -- ``NOT``: Two's complement - -:: - - :: nat : 'S -> int : 'S - :: int : 'S -> int : 'S - - > NOT / x : S => ~x : S - - -The return type of ``NOT`` is an ``int`` and not a ``nat``. This is -because the sign is also negated. The resulting integer is computed -using two's complement. For instance, the boolean negation of ``0`` is -``-1``. To get a natural back, a possibility is to use ``AND`` with an -unsigned mask afterwards. - - -- ``LSL`` - -:: - - :: nat : nat : 'S -> nat : 'S - - > LSL / x : s : S => (x << s) : S - iff s <= 256 - > LSL / x : s : S => [FAILED] - iff s > 256 - -- ``LSR`` - -:: - - :: nat : nat : 'S -> nat : 'S - - > LSR / x : s : S => (x >> s) : S - iff s <= 256 - > LSR / x : s : S => [FAILED] - iff s > 256 - -- ``COMPARE``: Integer/natural comparison - -:: - - :: int : int : 'S -> int : 'S - :: nat : nat : 'S -> int : 'S +A detailed description of the following instructions can be found in the `interactive Michelson reference manual `__. - > COMPARE / x : y : S => -1 : S - iff x < y - > COMPARE / x : y : S => 0 : S - iff x = y - > COMPARE / x : y : S => 1 : S - iff x > y +- ``NEG`` (`documentation `__). +- ``ABS`` (`documentation `__). +- ``ISNAT`` (`documentation `__). +- ``INT`` (`documentation `__). +- ``ADD`` (`documentation `__). +- ``SUB`` (`documentation `__). +- ``MUL`` (`documentation `__). +- ``EDIV``: Perform Euclidean division (`documentation `__). +- ``OR`` (`documentation `__). +- ``AND`` (`documentation `__). +- ``XOR`` (`documentation `__). +- ``NOT``: Two's complement (`documentation `__). +- ``LSL`` (`documentation `__). +- ``LSR`` (`documentation `__). +- ``COMPARE``: Integer/natural comparison (`documentation `__). Operations on strings ~~~~~~~~~~~~~~~~~~~~~