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667 | -- Copyright (c) 2020, 2023 University of Southampton.
--
-- Permission is hereby granted, free of charge, to any person obtaining a copy
-- of this software and associated documentation files (the "Software"), to deal
-- in the Software without restriction, including without limitation the rights
-- to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
-- copies of the Software, and to permit persons to whom the Software is
-- furnished to do so, subject to the following conditions:
--
-- The above copyright notice and this permission notice shall be included in all
-- copies or substantial portions of the Software.
--
-- THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-- IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-- FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-- AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-- LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-- OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
-- SOFTWARE.
-- This package defines the type for button types.
--
-- @author: htson
-- @version: 1.0
with Button_Package; use Button_Package;
with Door_Package; use Door_Package;
with Floor_Package; use Floor_Package;
with Motor_Package; use Motor_Package;
with Direction_Package; use Direction_Package;
with Ada.Text_IO; use Ada.Text_IO;
with Ada.Integer_Text_IO; use Ada.Integer_Text_IO;
package Elevator with SPARK_Mode is
-- BEGIN Translation of Event-B variables
floor : Integer; -- The current floor of the cabin
direction : DIRECTION_Type; -- The current status of the cabin motor
motor : MOTOR_Type; -- The current status of the cabin motor
door : DOOR_Type; -- The current status of the door
floor_buttons_array : FLOOR_BUTTONS_ARRAY_Type;
up_buttons_array : UP_BUTTONS_ARRAY_Type;
down_buttons_array : DOWN_BUTTONS_ARRAY_Type;
-- END Translation of Event-B variables
-- BEGIN Translation of Event-B events
function Invariants(floor : in Integer;
direction : DIRECTION_Type;
motor : MOTOR_Type;
door : DOOR_Type;
floor_buttons_array : FLOOR_BUTTONS_ARRAY_Type;
up_buttons_array : UP_BUTTONS_ARRAY_Type;
down_buttons_array : DOWN_BUTTONS_ARRAY_Type) return Boolean is
(
floor in 0 .. TOP_FLOOR
and then (if motor = WINDING then direction = Up)
and then (if motor = UNWINDING then direction = Down)
and then (if motor /= STOPPED then door = CLOSED)
and then (floor_buttons_array in FLOOR_BUTTONS_ARRAY_Type)
and then (up_buttons_array in UP_BUTTONS_ARRAY_Type)
and then (down_buttons_array in DOWN_BUTTONS_ARRAY_Type)
);
procedure INITIALISATION with
Global => (Output => (floor,
motor,
direction,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
),
Post => floor = 0 and direction = UP and motor = STOPPED and door = OPEN
and (for all I in 0..TOP_FLOOR => floor_buttons_array(I) = FALSE)
and (for all I in 0..TOP_FLOOR-1 => up_buttons_array(I) = FALSE)
and (for all I in 1..TOP_FLOOR => down_buttons_array(I) = FALSE);
procedure MovesUp with
Global => (Proof_In => (direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array),
In_Out => floor),
Depends => (floor => floor),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then floor /= TOP_FLOOR
and then motor = WINDING,
Post => floor = floor'Old + 1
and Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array);
procedure MovesDown with
Global => (Proof_In => (direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array),
In_Out => floor),
Depends => (floor => floor),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then floor /= 0 and then motor = UNWINDING,
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and floor = floor'Old - 1;
procedure ChangesDirectionUp_CurrentFloor with
Global => (Proof_In => (floor, motor, door, floor_buttons_array,
up_buttons_array, down_buttons_array),
In_Out => direction),
Pre => Invariants(floor, direction, motor, door,
floor_buttons_array, up_buttons_array, down_buttons_array)
and then direction = Down
and then floor /= TOP_FLOOR
and then motor = STOPPED
and then floor_buttons_array(floor) = FALSE
and then (if floor /= 0 then down_buttons_array(floor) = FALSE)
and then (for all I in 0 .. floor - 1 =>
floor_buttons_array(I) /= TRUE)
and then (for all I in 0 .. floor - 1 =>
up_buttons_array(I) /= TRUE)
and then (for all I in 1 .. floor - 1 =>
down_buttons_array(I) /= TRUE)
and then up_buttons_array(floor) = TRUE,
Post => direction = Up
and then Invariants(floor, direction, motor, door,
floor_buttons_array, up_buttons_array, down_buttons_array);
procedure ChangesDirectionUp_UpFloor with
Global => (Proof_In => (motor,
door,
floor,
floor_buttons_array,
up_buttons_array,
down_buttons_array),
In_Out => direction),
-- Depends => (direction => direction),
Pre => (Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then direction = Down and then
motor = STOPPED and then
floor_buttons_array(floor) = FALSE and then
(if floor /= 0 then down_buttons_array(floor) = FALSE) and then
(for all I in 0 .. floor - 1 =>
floor_buttons_array(I) /= TRUE) and then
(for all I in 0 .. floor - 1 =>
up_buttons_array(I) /= TRUE) and then
(for all I in 1 .. floor - 1 =>
down_buttons_array(I) /= TRUE) and then
(
(for some I in floor + 1 .. TOP_FLOOR => floor_buttons_array(I) = TRUE) or
(for some I in floor + 1 .. TOP_FLOOR - 1 => up_buttons_array(I) = TRUE) or
(for some I in floor + 1 .. TOP_FLOOR => down_buttons_array(I) = TRUE)
)
),
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and direction = Up;
procedure ChangesDirectionDown_CurrentFloor with
Global => (Proof_In => (motor,
door,
floor,
floor_buttons_array,
up_buttons_array,
down_buttons_array),
In_Out => direction),
-- Depends => (direction => direction),
Pre => (Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and then direction = Up and then
motor = STOPPED and then
floor_buttons_array(floor) = FALSE and then
(if floor /= TOP_FLOOR then up_buttons_array(floor) = FALSE) and then
(for all I in floor + 1 .. TOP_FLOOR =>
floor_buttons_array(I) /= TRUE) and then
(for all I in floor + 1 .. TOP_FLOOR - 1 =>
up_buttons_array(I) /= TRUE) and then
(for all I in floor + 1 .. TOP_FLOOR =>
down_buttons_array(I) /= TRUE) and then
floor /= 0 and then
down_buttons_array(floor) = TRUE
),
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and direction = Down;
procedure ChangesDirectionDown_DownFloor with
Global => (Proof_In => (motor,
door,
floor,
floor_buttons_array,
up_buttons_array,
down_buttons_array),
In_Out => direction),
-- Depends => (direction => direction),
Pre => (Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and then direction = Up and then
motor = STOPPED and then
floor_buttons_array(floor) = FALSE and then
(if floor /= TOP_FLOOR then up_buttons_array(floor) = FALSE) and then
(for all I in floor + 1 .. TOP_FLOOR =>
floor_buttons_array(I) /= TRUE) and then
(for all I in floor + 1 .. TOP_FLOOR - 1 =>
up_buttons_array(I) /= TRUE) and then
(for all I in floor + 1 .. TOP_FLOOR =>
down_buttons_array(I) /= TRUE) and then
(
(for some I in 0 .. floor - 1 => floor_buttons_array(I) = TRUE) or
(for some I in 0 .. floor - 1 => up_buttons_array(I) = TRUE) or
(for some I in 1 .. floor - 1 => down_buttons_array(I) = TRUE)
)
),
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and direction = Down;
procedure MotorWinds with
Global => (Proof_In => (direction,
door,
floor,
floor_buttons_array,
up_buttons_array,
down_buttons_array),
In_Out => motor),
-- Depends => (motor => motor),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then direction = UP
and then motor = STOPPED
and then door = CLOSED
and then (
(for some I in floor + 1 .. TOP_FLOOR => floor_buttons_array(I) = TRUE) or
(for some I in floor + 1 .. TOP_FLOOR - 1 => up_buttons_array(I) = TRUE) or
(for some I in floor + 1 .. TOP_FLOOR => down_buttons_array(I) = TRUE)
)
and then floor_buttons_array(floor) = FALSE
and then up_buttons_array(floor) = FALSE,
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and motor = WINDING;
procedure MotorUnwinds with
Global => (Proof_In => (direction,
door,
floor,
floor_buttons_array,
up_buttons_array,
down_buttons_array),
In_Out => motor),
-- Depends => (motor => motor),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then direction = Down
and then motor = STOPPED
and then door = CLOSED
and then (
(for some I in 0 .. floor - 1 => floor_buttons_array(I) = TRUE) or
(for some I in 0 .. floor - 1 => up_buttons_array(I) = TRUE) or
(for some I in 1 .. floor - 1 => down_buttons_array(I) = TRUE)
)
and then floor_buttons_array(floor) = FALSE
and then down_buttons_array(floor) = FALSE,
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and motor = UNWINDING;
procedure MotorStopsServeRequest with
Global => (Proof_In => (direction,
door,
floor,
floor_buttons_array,
up_buttons_array,
down_buttons_array),
In_Out => motor),
-- Depends => (motor => motor),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then motor /= STOPPED
and then (if direction = Up then
(floor_buttons_array(floor) = TRUE) or
(floor /= TOP_FLOOR and then up_buttons_array(floor) = TRUE))
and then (if direction = DOWN then
(floor_buttons_array(floor) = TRUE) or
(floor /= 0 and then down_buttons_array(floor) = TRUE)),
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and motor = STOPPED;
procedure MotorStopsNoRequest with
Global => (Proof_In => (direction,
door,
floor,
floor_buttons_array,
up_buttons_array,
down_buttons_array),
In_Out => motor),
-- Depends => (motor => motor),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then motor /= STOPPED
and then (if direction = Up then
(for all I in floor + 1 .. TOP_FLOOR => floor_buttons_array(I) /= TRUE))
and then (if direction = Up then
(for all I in floor + 1 .. TOP_FLOOR - 1 => up_buttons_array(I) /= TRUE))
and then (if direction = Up then
(for all I in floor + 1 .. TOP_FLOOR => down_buttons_array(I) /= TRUE))
and then (if direction = Down then
(for all I in 0 .. floor - 1 => floor_buttons_array(I) /= TRUE))
and then (if direction = Down then
(for all I in 0 .. floor - 1 => up_buttons_array(I) /= TRUE))
and then (if direction = Down then
(for all I in 1 .. floor - 1 => down_buttons_array(I) /= TRUE)),
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and motor = STOPPED;
procedure DoorOpen2Half with
Global => (Proof_In => (direction,
motor,
floor,
floor_buttons_array,
up_buttons_array,
down_buttons_array),
In_Out => door),
-- Depends => (door => door),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then door = OPEN,
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and door = HALF;
procedure DoorHalf2Closed with
Global => (Proof_In => (direction,
motor,
floor,
floor_buttons_array,
up_buttons_array,
down_buttons_array),
In_Out => door),
-- Depends => (door => door),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then door = HALF
and then floor_buttons_array(floor) = FALSE
and then (if direction = UP and floor /= TOP_FLOOR then up_buttons_array(floor) = FALSE)
and then (if direction = DOWN and floor /= 0 then down_buttons_array(floor) = FALSE),
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and door = CLOSED;
procedure DoorClosed2Half_Up with
Global => (Proof_In => (direction,
motor,
down_buttons_array),
Input => floor,
In_Out => (door, floor_buttons_array,
up_buttons_array)),
-- Depends => (door => door),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then door = CLOSED
and then motor = STOPPED
and then direction = UP
and then (
(floor_buttons_array(floor) = TRUE) or
(floor /= TOP_FLOOR and then up_buttons_array(floor) = TRUE)
),
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and then door = HALF
and then floor_buttons_array(floor) = FALSE
and then (if floor /= TOP_FLOOR then up_buttons_array(floor) = FALSE);
procedure DoorClosed2Half_Down with
Global => (Proof_In => (direction,
motor,
up_buttons_array
),
Input => floor,
In_Out => (door, floor_buttons_array, down_buttons_array)),
-- Depends => (door => door),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then door = CLOSED
and then motor = STOPPED
and then direction = DOWN
and then (
(floor_buttons_array(floor) = TRUE) or
(floor /= 0 and then down_buttons_array(floor) = TRUE)
),
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and then door = HALF
and then floor_buttons_array(floor) = FALSE
and then (if floor /= 0 then down_buttons_array(floor) = FALSE);
procedure DoorHalf2Open_Up with
Global => (Proof_In => (direction,
motor,
down_buttons_array),
Input => floor,
In_Out => (door, floor_buttons_array,
up_buttons_array)),
-- Depends => (door => door),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then door = HALF
and then direction = UP,
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and then door = OPEN
and then floor_buttons_array(floor) = FALSE
and then (if floor /= TOP_FLOOR then up_buttons_array(floor) = FALSE);
procedure DoorHalf2Open_Down with
Global => (Proof_In => (direction,
motor,
up_buttons_array),
Input => floor,
In_Out => (door, floor_buttons_array,
down_buttons_array)),
-- Depends => (door => door),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array)
and then door = HALF
and then direction = DOWN,
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and then door = OPEN
and then floor_buttons_array(floor) = FALSE
and then (if floor /= 0 then down_buttons_array(floor) = FALSE);
procedure FloorButtonPresses(f : Integer) with
Global => (Proof_In => (direction,
motor,
door,
floor,
up_buttons_array,
down_buttons_array),
In_Out => floor_buttons_array),
Depends => (floor_buttons_array => (f, floor_buttons_array)),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and then f in 0 .. TOP_FLOOR
and then floor_buttons_array(f) = FALSE,
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and (floor_buttons_array(f) = TRUE);
procedure UpButtonPresses(f : Integer) with
Global => (Proof_In => (direction,
motor,
door,
floor,
floor_buttons_array,
down_buttons_array),
In_Out => up_buttons_array),
Depends => (up_buttons_array => (f, up_buttons_array)),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and then f in 0 .. TOP_FLOOR
and then f /= TOP_FLOOR and then up_buttons_array(f) = FALSE,
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and (up_buttons_array(f) = TRUE);
procedure DownButtonPresses(f : Integer) with
Global => (Proof_In => (direction,
motor,
door,
floor,
floor_buttons_array,
up_buttons_array),
In_Out => down_buttons_array),
Depends => (down_buttons_array => (f, down_buttons_array)),
Pre => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and then f in 0 .. TOP_FLOOR
and then f /= 0 and then down_buttons_array(f) = FALSE,
Post => Invariants(floor,
direction,
motor,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array) and then down_buttons_array(f) = TRUE;
-- END Translation of Event-B events
-- BEGIN Debugging
procedure Put with
Global => (Input => (Default_Width,
Default_Base,
floor,
motor,
direction,
door,
floor_buttons_array,
up_buttons_array,
down_buttons_array),
In_Out => File_System
);
-- END Debugging
end Elevator;
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