Formula to calculate current block reward

rango · Dec 21, 2014

Guys, what would be the formulae to calculate current block reward going to the miners? That's what i have currently got. Is this calculation correct?

---
$masternode reward=0.75;
$reward = 2222222/pow((($difficulty+2600)/9),2)*$masternode reward;
if ($reward < 5) {
$reward = 5*$masternode reward;
}
---

Where was the post listing the increasing masternode payments? Is the increase of masternode payments tied to a specific block height?

Thank you,
Rango

crowning · Dec 21, 2014

rango said:
Guys, what would be the formulae to calculate current block reward going to the miners?
[...]
Is the increase of masternode payments tied to a specific block height?

Code:

  nSubsidy = (2222222.0 / (pow((dDiff+2600.0)/9.0,2.0)));
  if (nSubsidy > 25) nSubsidy = 25;
  if (nSubsidy < 5) nSubsidy = 5;

You forgot the ">25" part. This is the block reward.
Subtract from this the amount the Masternodes get and you have what the miners will get (minus the fees of course).

Masternode Payments:

Code:

  int64_t ret = blockValue/5; // start at 20%

  if(nHeight > 158000)  ret += blockValue / 20;  //25.0%  - 2014-10-23
  if(nHeight > 158000+((576*30)*1)) ret += blockValue / 20;  //30.0%  - 2014-11-23
  if(nHeight > 158000+((576*30)*2)) ret += blockValue / 20;  //35.0%  - 2014-12-23
  if(nHeight > 158000+((576*30)*3)) ret += blockValue / 40;  //37.5%  - 2015-01-23
  if(nHeight > 158000+((576*30)*4)) ret += blockValue / 40;  //40.0%  - 2015-02-23
  if(nHeight > 158000+((576*30)*5)) ret += blockValue / 40;  //42.5%  - 2015-03-23
  if(nHeight > 158000+((576*30)*6)) ret += blockValue / 40;  //45.0%  - 2015-04-23
  if(nHeight > 158000+((576*30)*7)) ret += blockValue / 40;  //47.5%  - 2015-05-23
  if(nHeight > 158000+((576*30)*9)) ret += blockValue / 40;  //50.0%  - 2015-07-23
  if(nHeight > 158000+((576*30)*11)) ret += blockValue / 40; //52.5%  - 2015-09-23
  if(nHeight > 158000+((576*30)*13)) ret += blockValue / 40; //55.0%  - 2015-11-23
  if(nHeight > 158000+((576*30)*15)) ret += blockValue / 40; //57.5%  - 2016-01-23
  if(nHeight > 158000+((576*30)*17)) ret += blockValue / 40; //60.0%  - 2016-03-23

maky · Dec 21, 2014

OK, what is this 'pow' and how big is 'dDiff' today?

pow(x, y) = x^y ?

And how is max number of coins restricted if production changes daily?

vertoe · Dec 22, 2014

maky said:
OK, what is this 'pow' and how big is 'dDiff' today?

pow(x, y) = x^y ?

And how is max number of coins restricted if production changes daily?

yes: power ( base , exponent ) := base ^ exponent
http://www.cplusplus.com/reference/cmath/pow/

Code:

int64_t GetBlockValue(int nBits, int nHeight, int64_t nFees)
{
    double dDiff = (double)0x0000ffff / (double)(nBits & 0x00ffffff);

    /* ... */
}

https://github.com/darkcoin/darkcoin/blob/master/src/main.cpp#L1382

rango · Dec 26, 2014

crowning
Thank you very much for your help.

wsmithston · Aug 30, 2015

Looking at block http://explorer.darkcoin.io/block/00000000000b7ca7c2b5b1e902a6579a46fdccdc478ae6549edf5338cc703c01
which has a difficulty of 2796.435, the block reward should be 2222222/((2796.435+2600)/9)^2 = 6.18099740 Dash. http://www.wolframalpha.com/input/?i=2222222/((2796.435+2600)/9)^2

Instead the block reward is 4.64285715 Dash. Can someone elaborate? Which difficulty is used to calculate the Block Reward if not the current difficulty?

Also, the block reward mentioned on www.reddit.com/r/dashpay is:

Block reward is controlled by Moore's law: 2222222/(((Difficulty+2600)/9)2)

There is a ^ missing there.

*edit: added wolframalpha link

flare · Aug 30, 2015

wsmithston said:
Looking at block http://explorer.darkcoin.io/block/00000000000b7ca7c2b5b1e902a6579a46fdccdc478ae6549edf5338cc703c01
which has a difficulty of 2796.435, the block reward should be 2222222/((2796.435+2600)/9)^2 = 6.18099740 Dash. http://www.wolframalpha.com/input/?i=2222222/((2796.435+2600)/9)^2

Instead the block reward is 4.64285715 Dash. Can someone elaborate? Which difficulty is used to calculate the Block Reward if not the current difficulty?

Also, the block reward mentioned on www.reddit.com/r/dashpay is:

Block reward is controlled by Moore's law: 2222222/(((Difficulty+2600)/9)2)

There is a ^ missing there.

*edit: added wolframalpha link

Short answer: ~~-the miner destroyed some reward-~~

EDIT: The difficulty of the previous block is used, see below

Long answer:

Like you pointed out the formula is 2222222/((2796.435+2600)/9)^2 = 6.18099740 DASH

As we are using int64_t for the calculation only the integer value is used --> 6 DASH

Now we are in 2nd year of Dash, which means this is reduced by 1/14 ~= 7.1% --> 6 * (1-(1/14)) = 5.57142857 DASH

So the matching reward for difficulty 2796.435 is 5.57142858 DASH, which will be mined in the next block.

Which means
whoever mined this block left out 0.91857142 DASH, which may appear weird, but still makes
up a valid block. The formula does only calculate the maximum amount ("ceiling function") to
be mined, the miner is free to claim everything below. The unclaimed coins from the coinbase are lost/destroyed.

Btw: The next block http://explorer.darkcoin.io/block/0000000000076a1a29de640d7f16f962a271c967aaae1dec3f0f1b0ac40b4366
with difficulty 2723.625 generated the maximum number of coins: 5.57142858 DASH

Hope that helps

UdjinM6 · Aug 30, 2015

flare said:
Short answer: this block destroyed some reward

Long answer:

Like you pointed out the formula is 2222222/((2796.435+2600)/9)^2 = 6.18099740 DASH

As we are using int64_t for the calculation only the integer value is used --> 6 DASH

Now we are in 2nd year of Dash, which means this is reduced by 1/14 ~= 7.1% --> 6 * (1-(1/14)) = 5.57142857 DASH

So the matching reward for difficulty 2796.435 is 5.57142857 DASH, which means
whoever mined this block left out 0.91857142 DASH, which may appear weird, but still makes
up a valid block - the formula does only calculate the maximum amount ("ceiling function") to
be mined, the miner can claim everything below.

Btw: The next block http://explorer.darkcoin.io/block/0000000000076a1a29de640d7f16f962a271c967aaae1dec3f0f1b0ac40b4366
with difficulty 2723.625 generated the maximum number of coins: 5.57142858 DASH

Hope that helps

When you calculate reward you should use difficulty of previous block:

Code:

2222222/((3036.93+2600)/9)^2 = 5,6648338721 = 5 (int)
5 * (1 - 1/14) = 4,6428571429

Generation: 4.64285715 + 0 total fees

flare · Aug 30, 2015

UdjinM6 said:
When you calculate reward you should use difficulty of previous block:

Code:

2222222/((3036.93+2600)/9)^2 = 5,6648338721 = 5 (int) 5 * (1 - 1/14) = 4,6428571429

Gotcha, of course - but rest of of my explantion was OK

Sub-Ether · Aug 30, 2015

wsmithston said:
Looking at block http://explorer.darkcoin.io/block/00000000000b7ca7c2b5b1e902a6579a46fdccdc478ae6549edf5338cc703c01
which has a difficulty of 2796.435, the block reward should be 2222222/((2796.435+2600)/9)^2 = 6.18099740 Dash. http://www.wolframalpha.com/input/?i=2222222/((2796.435+2600)/9)^2
Instead the block reward is 4.64285715 Dash. Can someone elaborate? Which difficulty is used to calculate the Block Reward if not the current difficulty?

Lol, was still working this out, I took off the 7% per year deduction, and I tried previous block difficulty, but I didn't try previous block and -7%

pille · Nov 26, 2015

Example block: 376191 payout 4.17857144, previous block 376190 had a difficulty of 4748.128

2222222/((4748.128+2600)/9)^2 = 3.33364259018 = 3 (int)
3 * (1 - 1/14) = 2.78571428571

Why?

And, is there any API where I get the current masternode count without hosting my own deamon?
If not would you mind crowning, when I grab from your site, lets say once every hour for a little project (simple monitor showing the value of all your Dash addresses, daily and monthly interest in your local currency)? 'Estimated Payment per Masternode / day' is what I need.

mjsrs · Nov 26, 2015

Hi pille, http://dash-stats.com data is open to everyone. Just check if it helps and feel free to grab it.

https://dash-stats.firebaseio.com/stats.json

Edit: if you need more information just let me know and I'll try to add it

UdjinM6 · Nov 26, 2015

pille said:
Example block: 376191 payout 4.17857144, previous block 376190 had a difficulty of 4748.128

2222222/((4748.128+2600)/9)^2 = 3.33364259018 = 3 (int)
3 * (1 - 1/14) = 2.78571428571

Why?

....

Because there is a limit for minimum reward

Code:

if (nSubsidy < 5) nSubsidy = 5;

and there is also 10% reduction because of DGBB

Formula to calculate current block reward

rango

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crowning

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maky

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vertoe

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rango

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wsmithston

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flare

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UdjinM6

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flare

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Sub-Ether

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pille

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