Richard Levitte 1aa89a7a3a Unify all assembler file generators
They now generally conform to the following argument sequence:

    script.pl "$(PERLASM_SCHEME)" [ C preprocessor arguments ... ] \
              $(PROCESSOR) <output file>

However, in the spirit of being able to use these scripts manually,
they also allow for no argument, or for only the flavour, or for only
the output file.  This is done by only using the last argument as
output file if it's a file (it has an extension), and only using the
first argument as flavour if it isn't a file (it doesn't have an
extension).

While we're at it, we make all $xlate calls the same, i.e. the $output
argument is always quoted, and we always die on error when trying to
start $xlate.

There's a perl lesson in this, regarding operator priority...

This will always succeed, even when it fails:

    open FOO, "something" || die "ERR: $!";

The reason is that '||' has higher priority than list operators (a
function is essentially a list operator and gobbles up everything
following it that isn't lower priority), and since a non-empty string
is always true, so that ends up being exactly the same as:

    open FOO, "something";

This, however, will fail if "something" can't be opened:

    open FOO, "something" or die "ERR: $!";

The reason is that 'or' has lower priority that list operators,
i.e. it's performed after the 'open' call.

Reviewed-by: Matt Caswell <matt@openssl.org>
(Merged from https://github.com/openssl/openssl/pull/9884)
2019-09-16 16:29:57 +02:00
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The sparse_array.c file contains an implementation of a sparse array that
attempts to be both space and time efficient.

The sparse array is represented using a tree structure.  Each node in the
tree contains a block of pointers to either the user supplied leaf values or
to another node.

There are a number of parameters used to define the block size:

    OPENSSL_SA_BLOCK_BITS   Specifies the number of bits covered by each block
    SA_BLOCK_MAX            Specifies the number of pointers in each block
    SA_BLOCK_MASK           Specifies a bit mask to perform modulo block size
    SA_BLOCK_MAX_LEVELS     Indicates the maximum possible height of the tree

These constants are inter-related:
    SA_BLOCK_MAX        = 2 ^ OPENSSL_SA_BLOCK_BITS
    SA_BLOCK_MASK       = SA_BLOCK_MAX - 1
    SA_BLOCK_MAX_LEVELS = number of bits in size_t divided by
                          OPENSSL_SA_BLOCK_BITS rounded up to the next multiple
                          of OPENSSL_SA_BLOCK_BITS

OPENSSL_SA_BLOCK_BITS can be defined at compile time and this overrides the
built in setting.

As a space and performance optimisation, the height of the tree is usually
less than the maximum possible height.  Only sufficient height is allocated to
accommodate the largest index added to the data structure.

The largest index used to add a value to the array determines the tree height:

        +----------------------+---------------------+
        | Largest Added Index  |   Height of Tree    |
        +----------------------+---------------------+
        | SA_BLOCK_MAX     - 1 |          1          |
        | SA_BLOCK_MAX ^ 2 - 1 |          2          |
        | SA_BLOCK_MAX ^ 3 - 1 |          3          |
        | ...                  |          ...        |
        | size_t max           | SA_BLOCK_MAX_LEVELS |
        +----------------------+---------------------+

The tree height is dynamically increased as needed based on additions.

An empty tree is represented by a NULL root pointer.  Inserting a value at
index 0 results in the allocation of a top level node full of null pointers
except for the single pointer to the user's data (N = SA_BLOCK_MAX for
brevity):

        +----+
        |Root|
        |Node|
        +-+--+
          |
          |
          |
          v
        +-+-+---+---+---+---+
        | 0 | 1 | 2 |...|N-1|
        |   |nil|nil|...|nil|
        +-+-+---+---+---+---+
          |
          |
          |
          v
        +-+--+
        |User|
        |Data|
        +----+
    Index 0


Inserting at element 2N+1 creates a new root node and pushes down the old root
node.  It then creates a second second level node to hold the pointer to the
user's new data:

        +----+
        |Root|
        |Node|
        +-+--+
          |
          |
          |
          v
        +-+-+---+---+---+---+
        | 0 | 1 | 2 |...|N-1|
        |   |nil|   |...|nil|
        +-+-+---+-+-+---+---+
          |       |
          |       +------------------+
          |                          |
          v                          v
        +-+-+---+---+---+---+      +-+-+---+---+---+---+
        | 0 | 1 | 2 |...|N-1|      | 0 | 1 | 2 |...|N-1|
        |nil|   |nil|...|nil|      |nil|   |nil|...|nil|
        +-+-+---+---+---+---+      +---+-+-+---+---+---+
          |                              |
          |                              |
          |                              |
          v                              v
        +-+--+                         +-+--+
        |User|                         |User|
        |Data|                         |Data|
        +----+                         +----+
    Index 0                       Index 2N+1


The nodes themselves are allocated in a sparse manner.  Only nodes which exist
along a path from the root of the tree to an added leaf will be allocated.
The complexity is hidden and nodes are allocated on an as needed basis.
Because the data is expected to be sparse this doesn't result in a large waste
of space.

Values can be removed from the sparse array by setting their index position to
NULL.  The data structure does not attempt to reclaim nodes or reduce the
height of the tree on removal.  For example, now setting index 0 to NULL would
result in:

        +----+
        |Root|
        |Node|
        +-+--+
          |
          |
          |
          v
        +-+-+---+---+---+---+
        | 0 | 1 | 2 |...|N-1|
        |   |nil|   |...|nil|
        +-+-+---+-+-+---+---+
          |       |
          |       +------------------+
          |                          |
          v                          v
        +-+-+---+---+---+---+      +-+-+---+---+---+---+
        | 0 | 1 | 2 |...|N-1|      | 0 | 1 | 2 |...|N-1|
        |nil|nil|nil|...|nil|      |nil|   |nil|...|nil|
        +---+---+---+---+---+      +---+-+-+---+---+---+
                                         |
                                         |
                                         |
                                         v
                                       +-+--+
                                       |User|
                                       |Data|
                                       +----+
                                  Index 2N+1


Accesses to elements in the sparse array take O(log n) time where n is the
largest element.  The base of the logarithm is SA_BLOCK_MAX, so for moderately
small indices (e.g. NIDs), single level (constant time) access is achievable.
Space usage is O(minimum(m, n log(n)) where m is the number of elements in the
array.

Note: sparse arrays only include pointers to types.  Thus, SPARSE_ARRAY_OF(char)
can be used to store a string.