I probably won't pursue this but I had this idea of generating a procedural universe in the most memory efficient way possible.
Like in the game Elite, you could use a random number generator based on a seed, and so each star system can be represented by a single seed number instead of lists of stats and other info. But if each star system is a 64 bit number, to make the milky way, 100 billion stars, that is 6.4 terabytes of memory. But if you use only 8-bits per star system, you'll only have 256 unique star systems in your game. So my other idea was to have each star system represented by 8 bits, but simply grab the next 7 star system's bytes in memory and use that combination to form a 64 bit number for the planet's seed. Obviously there would be 7 extra bytes at the end to account for the last star system in memory.
So is there any way to organize the values in these bytes such that every set of 8 bytes over the entire file covers all 64 bit values (hypothetically) with no repeats? Or is it impossible and I should just accept repeats? Or could I possibly use the address of the byte itself as part of the seed? So how would that work in C? Like if I have a file of 100 billion bytes, does that actually take up exactly 100 billion bytes in memory or is it more and how are the addresses for those bytes stored? And is accessing large files like that (like 100gb+) in a server client relationship practical? Thank you.
ZigZag requires a lot of overhead to write/read numbers. Actually I was stunned to see that it doesn't just write int/long values as they are, but does a lot of additional scrambling. There's even a loop involved:
https://github.com/mardambey/mypipe/blob/master/avro/lang/java/avro/src/main/java/org/apache/avro/io/DirectBinaryEncoder.java#L90
I don't seem to be able to find in Protocol Buffers docs or in Avro docs, or reason myself, what's the advantage of scrambling numbers like that? Why is it better to have positive and negative numbers alternated after encoding?
Why they're not just written in little-endian, big-endian, network order which would only require reading them into memory and possibly reverse bit endianness? What do we buy paying with performance?
It is a variable length 7-bit encoding. The first byte of the encoded value has it high bit set to 0, subsequent bytes have it at 1. Which is the way the decoder can tell how many bytes were used to encode the value. Byte order is always little-endian, regardless of the machine architecture.
It is an encoding trick that permits writing as few bytes as needed to encode the value. So an 8 byte long with a value between -64 and 63 takes only one byte. Which is common, the range provided by long is very rarely used in practice.
Packing the data tightly without the overhead of a gzip-style compression method was the design goal. Also used in the .NET Framework. The processor overhead needed to en/decode the value is inconsequential. Already much lower than a compression scheme, it is a very small fraction of the I/O cost.
A byte consists of 8 bits on most systems.
A byte typically represents the smallest data type a programmer may use. Depending on language, the data types might be called char or byte.
There are some types of data (booleans, small integers, etc) that could be stored in fewer bits than a byte. Yet using less than a byte is not supported by any programming language I know of (natively).
Why does this minimum of using 8 bits to store data exist? Why do we even need bytes? Why don't computers just use increments of bits (1 or more bits) rather than increments of bytes (multiples of 8 bits)?
Just in case anyone asks: I'm not worried about it. I do not have any specific needs. I'm just curious.
because at the hardware level memory is naturally organized into addressable chunks. Small chunks means that you can have fine grained things like 4 bit numbers; large chunks allow for more efficient operation (typically a CPU moves things around in 'chunks' or multiple thereof). IN particular larger addressable chunks make for bigger address spaces. If I have chunks that are 1 bit then an address range of 1 - 500 only covers 500 bits whereas 500 8 bit chunks cover 4000 bits.
Note - it was not always 8 bits. I worked on a machine that thought in 6 bits. (good old octal)
Paper tape (~1950's) was 5 or 6 holes (bits) wide, maybe other widths.
Punched cards (the newer kind) were 12 rows of 80 columns.
1960s:
B-5000 - 48-bit "words" with 6-bit characters
CDC-6600 -- 60-bit words with 6-bit characters
IBM 7090 -- 36-bit words with 6-bit characters
There were 12-bit machines; etc.
1970-1980s, "micros" enter the picture:
Intel 4004 - 4-bit chunks
8008, 8086, Z80, 6502, etc - 8 bit chunks
68000 - 16-bit words, but still 8-bit bytes
486 - 32-bit words, but still 8-bit bytes
today - 64-bit words, but still 8-bit bytes
future - 128, etc, but still 8-bit bytes
Get the picture? Americans figured that characters could be stored in only 6 bits.
Then we discovered that there was more in the world than just English.
So we floundered around with 7-bit ascii and 8-bit EBCDIC.
Eventually, we decided that 8 bits was good enough for all the characters we would ever need. ("We" were not Chinese.)
The IBM-360 came out as the dominant machine in the '60s-70's; it was based on an 8-bit byte. (It sort of had 32-bit words, but that became less important than the all-mighty byte.
It seemed such a waste to use 8 bits when all you really needed 7 bits to store all the characters you ever needed.
IBM, in the mid-20th century "owned" the computer market with 70% of the hardware and software sales. With the 360 being their main machine, 8-bit bytes was the thing for all the competitors to copy.
Eventually, we realized that other languages existed and came up with Unicode/utf8 and its variants. But that's another story.
Good way for me to write something late on night!
Your points are perfectly valid, however, history will always be that insane intruder how would have ruined your plans long before you were born.
For the purposes of explanation, let's imagine a ficticious machine with an architecture of the name of Bitel(TM) Inside or something of the like. The Bitel specifications mandate that the Central Processing Unit (CPU, i.e, microprocessor) shall access memory in one-bit units. Now, let's say a given instance of a Bitel-operated machine has a memory unit holding 32 billion bits (our ficticious equivalent of a 4GB RAM unit).
Now, let's see why Bitel, Inc. got into bankruptcy:
The binary code of any given program would be gigantic (the compiler would have to manipulate every single bit!)
32-bit addresses would be (even more) limited to hold just 512MB of memory. 64-bit systems would be safe (for now...)
Memory accesses would be literally a deadlock. When the CPU has got all of those 48 bits it needs to process a single ADD instruction, the floppy would have already spinned for too long, and you know what happens next...
Who the **** really needs to optimize a single bit? (See previous bankruptcy justification).
If you need to handle single bits, learn to use bitwise operators!
Programmers would go crazy as both coffee and RAM get too expensive. At the moment, this is a perfect synonym of apocalypse.
The C standard is holy and sacred, and it mandates that the minimum addressable unit (i.e, char) shall be at least 8 bits wide.
8 is a perfect power of 2. (1 is another one, but meh...)
In my opinion, it's an issue of addressing. To access individual bits of data, you would need eight times as many addresses (adding 3 bits to each address) compared to using accessing individual bytes. The byte is generally going to be the smallest practical unit to hold a number in a program (with only 256 possible values).
Some CPUs use words to address memory instead of bytes. That's their natural data type, so 16 or 32 bits. If Intel CPUs did that it would be 64 bits.
8 bit bytes are traditional because the first popular home computers used 8 bits. 256 values are enough to do a lot of useful things, while 16 (4 bits) are not quite enough.
And, once a thing goes on for long enough it becomes terribly hard to change. This is also why your hard drive or SSD likely still pretends to use 512 byte blocks. Even though the disk hardware does not use a 512 byte block and the OS doesn't either. (Advanced Format drives have a software switch to disable 512 byte emulation but generally only servers with RAID controllers turn it off.)
Also, Intel/AMD CPUs have so much extra silicon doing so much extra decoding work that the slight difference in 8 bit vs 64 bit addressing does not add any noticeable overhead. The CPU's memory controller is certainly not using 8 bits. It pulls data into cache in long streams and the minimum size is the cache line, often 64 bytes aka 512 bits. Often RAM hardware is slow to start but fast to stream so the CPU reads kilobytes into L3 cache, much like how hard drives read an entire track into their caches because the drive head is already there so why not?
First of all, C and C++ do have native support for bit-fields.
#include <iostream>
struct S {
// will usually occupy 2 bytes:
// 3 bits: value of b1
// 2 bits: unused
// 6 bits: value of b2
// 2 bits: value of b3
// 3 bits: unused
unsigned char b1 : 3, : 2, b2 : 6, b3 : 2;
};
int main()
{
std::cout << sizeof(S) << '\n'; // usually prints 2
}
Probably an answer lies in performance and memory alignment, and the fact that (I reckon partly because byte is called char in C) byte is the smallest part of machine word that can hold a 7-bit ASCII. Text operations are common, so special type for plain text have its gain for programming language.
Why bytes?
What is so special about 8 bits that it deserves its own name?
Computers do process all data as bits, but they prefer to process bits in byte-sized groupings. Or to put it another way: a byte is how much a computer likes to "bite" at once.
The byte is also the smallest addressable unit of memory in most modern computers. A computer with byte-addressable memory can not store an individual piece of data that is smaller than a byte.
What's in a byte?
A byte represents different types of information depending on the context. It might represent a number, a letter, or a program instruction. It might even represent part of an audio recording or a pixel in an image.
Source
I have taken the VS_VERSIONINFO structure from a file and the Value (VS_FIXEDFILEINFO) is padded with 32 bits.
According to MSDN, Value should be padded to fall on a 32 bit boundary.
Padding1
Type: WORD
Contains as many zero words as necessary to align the Value member on a 32-bit boundary.
But value is already on a 32 bit boundary.
Why is VS_FIXEDFILEINFO padded with 32 bits on a 32 bit boundary, anyway?
To align data on a 32 bit boundary, only padding with less than 32 bits would make sense.
I'm asking this because I need to parse an RC script and generate this resource.
Padding is added to structures and their members so that the CPU can access the memory holding those members using addresses that are aligned to the CPU's word width.
Back in the dark days some CPUs could be persuaded to generate a bus error if you did a non-aligned access but these days it's just slower, particularly if you miss the onboard caches.
VS_FIXEDFILEINFO is arbitrary data of arbitrary length therefore some padding may appear after it to bring the subsequent VS_VERSIONINFO structure members back into alignment.
The wording of MS's documentation for the wLength member of VS_VERSIONINFO implies that you shouldn't consider padding between the VS_VERSIONINFO that you're looking at and the next one in memory. i.e. do not subtract the address of the next structure from the first one and use that as wLength because you may bring in some padding bytes between the two structures that you don't want.
I understand what it means to access memory such that it is aligned but I don’t understand why this is necessary. For instance, why can I access a single byte from an address 0x…1 but I cannot access a half word (two bytes) from the same address.
Again, I understand that if you have an address A and an object of size s that the access is aligned if A mod s = 0. But I just don’t understand why this is important at the hardware level.
Hardware is complex; this is a simplified explanation.
A typical modern computer might have a 32-bit data bus. This means that any fetch that the CPU needs to do will fetch all 32 bits of a particular memory address. Since the data bus can't fetch anything smaller than 32 bits, the lowest two address bits aren't even used on the address bus, so it's as if RAM is organised into a sequence of 32-bit words instead of 8-bit bytes.
When the CPU does a fetch for a single byte, the read cycle on the bus will fetch 32 bits and then the CPU will discard 24 of those bits, loading the remaining 8 bits into whatever register. If the CPU wants to fetch a 32 bit value that is not aligned on a 32-bit boundary, it has several general choices:
execute two separate read cycles on the bus to load the appropriate parts of the data word and reassemble them
read the 32-bit word at the address determined by throwing away the low two bits of the address
read some unexpected combination of bytes assembled into a 32-bit word, probably not the one you wanted
throw an exception
Various CPUs I have worked with have taken all four of those paths. In general, for maximum compatibility it is safest to align all n-bit reads to an n-bit boundary. However, you can certainly take shortcuts if you are sure that your software will run on some particular CPU family with known unaligned read behaviour. And even if unaligned reads are possible (such as on x86 family CPUs), they will be slower.
The computer always reads in some fixed size chunks which are aligned.
So, if you don't align your data in memory, you will have to probably read more than once.
Example
word size is 8 bytes
your structure is also 8 bytes
if you align it, you'll have to read one chunk
if you don't align it, you'll have to read two chunks
So, it's basically to speed up.
The reason for all alignment rules are the various widths of the Cache Lines (Instruction-Cache do have 16 Byte lines for the Core2 Architecture, and the Data-Cache do have 64-Byte Lines for L1 and 128-Byte Lines for L2).
So if you want to store/load data that crosses a Cahce-Line Boundary you need to load and store both Cache-lines, which hits the performance.
So you just don't do it because of the performance hit, its that simple.
Try reading a serial port. The data is 8 bits wide.
Nice hardware designers ensure it lies on a least significant byte of the word.
If you have a C structure that has elements not word aligned ( from backwards compatibility or conservation of memory say )
then the address of any byte within the structure is not word aligned.