Section Header
    + name := COLLECTION3[E];
    - comment := "Abstract definition of a 3 dimensional collection of elements of type E.";
The Lisaac standard library provides two implementations of COLLECTION3: ARRAY3
and FAST_ARRAY3. All implementations have exactly the same behavior.
Switching from one implementation to another only change the memory
used and the execution time.
Section Inherit
    - parent_safe_equal:SAFE_EQUAL[E] :=
Section Public
    - lower1:INTEGER <-
        Lower index bound for dimension 1.
    - lower2:INTEGER <-
        Lower index bound for dimension 2.
    - lower3:INTEGER <-
        Lower index bound for dimension 3.
    - line_minimum:INTEGER <-
        Equivalent of `lower1'.
    - column_minimum:INTEGER <-
        Equivalent of `lower2'.
    - depth_minimum:INTEGER <-
        Equivalent of `lower3'.
    - upper1:INTEGER <-
        Upper index bound for dimension 1.
    - upper2:INTEGER <-
        Upper index bound for dimension 2.
    - upper3:INTEGER <-
        Upper index bound for dimension 3.
    - line_maximum:INTEGER <-
        Equivalent of `upper1'.
    - column_maximum:INTEGER <-
        Equivalent of `upper2'.
    - depth_maximum:INTEGER <-
        Equivalent of `upper3'.
Reading:
    - item (line, column, depth:INTEGER) :E <-
Writing:
    - put element:E to (line, column, depth:INTEGER) <-
    - force element:E to (line, column, depth:INTEGER) <-
        Put `element' at position (`line',`column',`depth').
        Collection is resized first when (`line',`column',`depth')
        is not inside current bounds.
        New bounds are initialized with default values.
Index validity:
    - valid_line line:INTEGER :BOOLEAN <-
    - valid_index1 line:INTEGER :BOOLEAN <-
    - valid_column column:INTEGER :BOOLEAN <-
    - valid_index2 column:INTEGER :BOOLEAN <-
    - valid_depth depth:INTEGER :BOOLEAN <-
    - valid_index3 depth:INTEGER :BOOLEAN <-
    - valid_index (line, column, depth:INTEGER) :BOOLEAN <-
Counting:
    - count1:INTEGER <-
        Size of the first dimension.
    - line_count:INTEGER <-
        Equivalent of `count1'.
    - count2:INTEGER <-
        Size of the second dimension.
    - column_count:INTEGER <-
        Equivalent of `count2'.
    - count3:INTEGER <-
        Size of the third dimension.
    - depth_count:INTEGER <-
        Equivalent of `count3'.
    - count:INTEGER <-
        Total number of elements.
    - swap (line1, column1, depth1:INTEGER) with (line2, column2, depth2:INTEGER) <-
        Swap the element at index (`line1',`column1',`depth1')
        with the element at index (`line2',`column2',`depth2').
    - set_all_with v:E <-
        Set all item with value `v'.
    - clear_all <-
        Set all items to default values.
Creating or initializing:
    - from_collection3 model:COLLECTION3[E] <-
        Uses `model' to initialize self.
    - from_model model:COLLECTION[COLLECTION[COLLECTION[E]]] <-
        The `model' is used to fill line by line self.
        Assume all sub-collections have the same
        dimension.
Looking and comparison:
    - all_default:BOOLEAN <-
        Do all items have their type's default value?
    - '==' other:COLLECTION3[E] :BOOLEAN <-
        Do both collections have the same `lower1', `lower2', `lower3', `upper1', `upper2' and
        `upper3', and items?
        The basic `=' is used for comparison of items.
       
        See also `is_equal_map'.
    - is_equal_map other: COLLECTION3[E] :BOOLEAN <-
        Do both collections have the same `lower1', `lower2', `lower3', `upper1', `upper2' and `upper3',
        and items?
       
        See also `=='.
Printing:
    - fill_tagged_out_memory <-
Miscellaneous features:
    - occurrences elt:E :INTEGER <-
        Number of occurrences using `equal'.
       
        See also `fast_occurrences' to choose the apropriate one.
    - fast_occurrences elt:E :INTEGER <-
        Number of occurrences using `='.
       
        See also `occurrences' to choose the apropriate one.
    - has x:E :BOOLEAN <-
        Search if a element x is in the array using `equal'.
       
        See also `fast_has' to choose the apropriate one.
    - fast_has x:E :BOOLEAN <-
        Search if a element x is in the array using `='.
    - replace_all old_value:E with new_value:E <-
        Replace all occurences of the element `old_value' by `new_value'
        using `equal' for comparison.
       
        See also `fast_replace_all' to choose the apropriate one.
    - fast_replace_all old_value:E with new_value:E <-
        Replace all occurences of the element `old_value' by `new_value'
        using operator `=' for comparison.
       
        See also `replace_all' to choose the apropriate one.
    - sub_collection3 (line_min, column_min, depth_min:INTEGER)
to (line_max, column_max, depth_max:INTEGER) :SELF <-
        Create a new object using selected area of `self'.
    - set_area (line_min, column_min, depth_min:INTEGER)
to (line_max, column_max, depth_max:INTEGER) with element:E <-
        Set all the elements of the selected area rectangle with `element'.