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Chapter 8. Mining and Consensus

Difficulty

See also: target

What is "difficulty"?

Difficulty is a measure of how difficult it is to find a Dogecoin mining pool stats spreadsheet below a given target.

The Bitcoin network has a global block difficulty. Valid blocks must have a hash below this target. Mining pools also have a pool-specific share difficulty setting a lower limit for shares.

How often does the network difficulty Dogecoin mining pool stats spreadsheet 2016 blocks.

What is the formula for difficulty?

Difficulty = difficulty_1_target / current_target

(target is a 256 bit number)

Difficulty_1_target can be different for various ways to measure difficulty. Traditionally, it represents a hash where the leading 32 bits are zero and the rest are one (this is known as "pool difficulty" or "pdiff"). The Bitcoin protocol represents targets as a custom floating point type with limited precision; as a result, Bitcoin clients often approximate difficulty based on this (this is known as "bdiff").

How is difficulty stored in blocks?

Each block stores a packed representation (called "Bits") for its actual hexadecimal target. The target can be derived from it via a predefined formula. For example, if the packed target in the block is 0x1b0404cb (stored in little-endian order: ), the hexadecimal target is

0x0404cb * 2**(8*(0x1b - 3)) = 0x00000000000404CB000000000000000000000000000000000000000000000000

Note that this packed format contains a sign Dogecoin mining pool stats spreadsheet in the 24th bit, and Dogecoin mining pool stats spreadsheet example the negation of the above target would be 0x1b8404cb in packed format. Since targets are never negative in practice, however, this means the largest legal value for the lower 24 bits is 0x7fffff. Additionally, 0x008000 is the smallest legal value for the lower 24 bits since targets are always stored with the lowest possible exponent.

How is difficulty calculated? What is the difference between bdiff and pdiff?

The highest possible target (difficulty 1) is defined as 0x1d00ffff, which gives us a hex target of

0x00ffff * 2**(8*(0x1d - 3)) = 0x00000000FFFF0000000000000000000000000000000000000000000000000000

It should be noted that pooled mining often uses non-truncated targets, which puts "pool difficulty 1" at

0x00000000FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF

So the difficulty at 0x1b0404cb is therefore:

0x00000000FFFF0000000000000000000000000000000000000000000000000000 / 0x00000000000404CB000000000000000000000000000000000000000000000000 = 16307.420938523983 (bdiff)

And:

0x00000000FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF / 0x00000000000404CB000000000000000000000000000000000000000000000000 = 16307.669773817162 (pdiff)

Here's a fast way to calculate bitcoin difficulty. It uses a modified Taylor series for the logarithm (you can see tutorials on flipcode and wikipedia) and relies on logs to transform the difficulty calculation:

#include <iostream> #include <cmath> inline float Dogecoin mining pool stats spreadsheet val) { int * const exp_ptr = reinterpret_cast <int *>(&val); int x = *exp_ptr; const int log_2 = ((x >> 23) Dogecoin mining pool stats spreadsheet 255) - 128; x &= ~(255 << 23); x += 127 << 23; *exp_ptr = x; val = ((-1.0f/3) * val + 2) * val - 2.0f/3; return ((val + log_2) * 0.69314718f); } float difficulty(unsigned int bits) { static double max_body = fast_log(0x00ffff), scaland = fast_log(256); return exp(max_body - fast_log(bits & 0x00ffffff) + scaland * (0x1d - ((bits & 0xff000000) >> 24))); } int main() { std::cout << difficulty(0x1b0404cb) << std::endl; return 0; }

To see the math to go from the normal difficulty calculations (which require large big ints bigger than the space in any normal integer) to the calculation above, here's some python:

Import decimal, math l = math. log e = math. e print 0x00ffff * 2**(8*(0x1d - 3)) / float(0x0404cb * 2**(8*(0x1b - 3))) print l(0x00ffff * 2**(8*(0x1d - 3)) / float(0x0404cb * 2**(8*(0x1b - 3)))) print l(0x00ffff * 2**(8*(0x1d - 3))) - l(0x0404cb * 2**(8*(0x1b - 3))) print l(0x00ffff) + l(2**(8*(0x1d - 3))) - l(0x0404cb) - l(2**(8*(0x1b - 3))) print l(0x00ffff) + (8*(0x1d - 3))*l(2) - l(0x0404cb) - (8*(0x1b - 3))*l(2) print l(0x00ffff / float(0x0404cb)) + (8*(0x1d - 3))*l(2) - (8*(0x1b - 3))*l(2) print l(0x00ffff / float(0x0404cb)) + (0x1d - 0x1b)*l(2**8)

What is the current difficulty?

Current difficulty, as output by Bitcoin's getDifficulty.

Graphs

What is the maximum difficulty?

There is no minimum target. The maximum difficulty is roughly: maximum_target / 1 (since 0 would Dogecoin mining pool stats spreadsheet in infinity), which is a ridiculously huge number (about 2^224).

The actual maximum difficulty is when current_target=0, but we would not be able to calculate the difficulty if that happened. (fortunately it never will, so we're ok.)

Can the network difficulty go down?

Yes it can. See discussion in target.

What is the minimum difficulty?

The minimum Dogecoin mining pool stats spreadsheet, when the target is at the maximum allowed value, is 1.

What network hash rate results in a given difficulty?

The difficulty is adjusted every 2016 blocks based on the time it took to find the previous 2016 blocks. At the desired rate of one block each 10 minutes, 2016 blocks would take exactly two weeks to find. If the previous 2016 blocks took more than two weeks to find, the difficulty is reduced. If they took less than two weeks, the difficulty is increased. The change in difficulty is in proportion to the amount of time over or under two weeks the previous 2016 blocks took to find.

To find Dogecoin mining pool stats spreadsheet block, the hash must be less than the target. The hash is effectively a random number between 0 and 2**256-1. The offset for difficulty 1 is

0xffff * 2**208

And for difficulty D is

(0xffff * 2**208)/D

The expected number of hashes we need to calculate to find a block with difficulty D is therefore

D * 2**256 / (0xffff * 2**208)

Or just

D * 2**48 / 0xffff

The difficulty is set such that the previous 2016 blocks would have been found at the rate of one every 10 minutes, so we were calculating (D * 2**48 / 0xffff) hashes in 600 seconds. That means the hash rate of the network was

D * 2**48 / 0xffff / 600

Over the previous 2016 blocks. Can be further simplified to

D * 2**32 / 600

Without much loss of accuracy.

At difficulty 1, that is around 7 Mhashes per second.

At the time of writing, the difficulty is 22012.4941572, which means that over the previous set of 2016 blocks found the average network hash rate was

22012.4941572 * 2**32 / 600 = around 157 Ghashes per second.

How soon might I expect to generate a block?

(The eternal question.)

The average Dogecoin mining pool stats spreadsheet to find a block can be approximated by calculating:

Time = difficulty * 2**32 / hashrate Dogecoin mining pool stats spreadsheet difficulty is the current difficulty, hashrate is the number of hashes your miner calculates per second, and time is the average in seconds between the blocks you find.

For example, using Python we calculate the average time to generate a block using a 1Ghash/s mining rig when the difficulty is 20000:

$ python - c "print 20000 * 2**32 / 10**9 / 60 / 60.0" 23.85 Dogecoin mining pool stats spreadsheet find that it takes just under 24 hours on average.

Get Bitcoin Miner Pool - Microsoft Store

Welcome to litecoinpool. org

pooo Mining litecoins since October 21, 2011

New to Litecoin mining? Read our Beginner's Guide!

Welcome to the spreaadsheet true pay-per-share (PPS) Litecoin pool. Some of our key features:

Exclusive ultra-low-latency Stratum server implementation, written in CSupport for Stratum over TLS, to prevent MITM attacksMerged mining (AuxPoW) of several altcoins, paying out in litecoinsSupport for the resume extension to StratumAdaptive share difficulty (“vardiff”), minijg support for manual tuningNetwork of 8 geographically-distributed, redundant serversDetailed stats updated every few secondsEmail notification of idle minersFee-free automatic and manual (instant) payoutsTwo-factor authentication supportWebsite and mining interface also accessible as Tor hidden servicesExtensive JSON API

The Reward Dogecoin mining pool stats spreadsheet valid share you submit to this pool is instantly credited to your account at the spreadeheet pay-per-share (PPS) rate. This rate, expressed in litecoins, also takes into account merged-mined coins such as Dogecoin, spreaadsheet in higher payouts than a regular Pooll pool. Thanks to merged mining, you have to pay Dogecoin mining pool stats spreadsheet fee; in fact, your earnings may even be higher than with a 0-fee PPS system.

This is not a PPLNS, SMPPS or RBPPS pool: we always pay for your work, even if the pool has not yet solved enough blocks to cover the earnings generated. On other systems, miners are only rewarded when and if a block matures, but sometimes blocks get orphaned from the Sprsadsheet network, and therefore yield no reward. A PPS pool, on the other hand, takes on the risk of bad luck so you don't have to deal with variance and orphaned blocks.

A Bit of History

LitecoinPool. org was started shortly after the birth of Litecoin by Pooler, who is well known in the community as a member of the Litecoin core development team and for being the maintainer of the cpuminer software package. Since the very start, the pool used ad-hoc software: Pooler wrote the front end entirely from scratch, with security srats efficiency miming mind, while the mining back end was originally a heavily-modified version of Jeff Garzik's pushpool. After two weeks of intensive testing, on November 5, 2011 the pool opened its doors to the public, becoming the first PPS pool for Litecoin. In April 2012 LitecoinPool. org also became the first pool to support variable-difficulty shares, a technique later dubbed “vardiff” by Bitcoin pools, allowing miners spreadsjeet drastically reduce their network bandwidth usage.

Thanks to its advanced features and its reliability, the pool quickly attracted a very high dogecoim of miners, to the point that during the first mininf of 2012 it often constituted over 40% of Dogecoin mining pool stats spreadsheet entire Litecoin network. Due to centralization concerns, it was decided to temporarily close Dogecoin mining pool stats spreadsheet registrations; later in 2012, registrations were reopened, but have since been subject to approval.

In August 2013 the back-end software was completely redesigned and rewritten from scratch to implement advanced efficiency and scalability optimizations that Pooler devised after implementing support for the Stratum protocol in cpuminer. This new implementation makes LitecoinPool. org the first Litecoin pool based entirely on software written from scratch, and the first pool to implement extensions to the Stratum protocol such as “resume”, Dogecoin mining pool stats spreadsheet and “suggest_target”.

In September 2014 LitecoinPool. org also became the first Litecoin pool to offer secure mining over TLS-encrypted Stratum connections, protecting miners from potential man-in-the-middle attacks.

Acknowledgements

We wish to thank all the people who have, directly or indirectly, contributed to the development of this pool. In particular, many thanks go to (in alphabetical order): coblee, DeLorean731, Derringer, diki, g2x3k, Graet, guruvan, inlikeflynn, jgarzik, LittleDuke, piperitapatty, pontius, rTech, shawnp0wers, ssvb, terrytibbs, WKnight, Xurious.

Cloud Mining Today

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