Friday, November 22, 2024

reward schedule – The place is the bitcoin supply code is the 21 million arduous cap said?

The place is the bitcoin supply code is the 21 million arduous cap said?

Nowhere, as a result of there is not truly a 21 million cap rule.

The related code is this:

CAmount GetBlockSubsidy(int nHeight, const Consensus::Params& consensusParams)
{
    int halvings = nHeight / consensusParams.nSubsidyHalvingInterval;
    // Power block reward to zero when proper shift is undefined.
    if (halvings >= 64)
        return 0;

    CAmount nSubsidy = 50 * COIN;
    // Subsidy is minimize in half each 210,000 blocks which can happen roughly each 4 years.
    nSubsidy >>= halvings;
    return nSubsidy;
}

// consensusParams.nSubsidyHalvingInterval = 210000.

It computes the utmost subsidy a miner can declare at a given block top, and this operate successfully controls Bitcoin’s inflation schedule. The usually-stated “21 million” restrict is simply the approximate results of summing all cash this operate permits to be introduced into circulation, over all time.

The code, briefly, implements the next:

  • The primary 210000 blocks (roughly 4 years) permit as much as 50 BTC subsidy every.
  • Then 210000 blocks with 25 BTC every
  • Then 210000 blocks with 12.5 BTC every
  • After 10 halvings, the subsidy turns into 0.04882812 BTC somewhat than 0.048828125 (which would want half-satoshi precision, and the code makes use of integer division which rounds down).
  • After 33 halvings, the subsidy turns into 0.

If one sums up all of the subsidy values over all halvings, the result’s 20999999.9769 BTC, not 21000000 BTC. Although, on account of numerous trivialities, that is additionally not the true restrict; this reply goes into extra element.


Now, the code does additionally comprise this fixed:

/** No quantity bigger than this (in satoshi) is legitimate.
 *
 * Observe that this fixed is *not* the full cash provide, which in Bitcoin
 * at present occurs to be lower than 21,000,000 BTC for numerous causes, however
 * somewhat a sanity test. As this sanity test is utilized by consensus-critical
 * validation code, the precise worth of the MAX_MONEY fixed is consensus
 * crucial; in uncommon circumstances like a(nother) overflow bug that allowed
 * for the creation of cash out of skinny air modification may result in a fork.
 * */
static constexpr CAmount MAX_MONEY = 21000000 * COIN;

which, because the remark explains, doesn’t truly management the full provide (as that is somewhat the results of summing all of the subsidy), however is used as a sanity test in lots of locations.

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