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Time Development Points (TDPs) are used to increase [[attributes]] (mental and physical stats such as [[strength]], [[intelligence]], [[agility]], and so on), as well as for other things such as buying new spell slots and forgetting learned spells.
Time Development Points (TDPs) are used to increase [[attributes]].


In order to use TDP's to raise a stat, one must go to a designated room for training that particular stat and type <tt>TRAIN</tt>, then <tt>STUDY</tt> to confirm. Training rooms for each stat are available within or near every major city.
In order to use TDPs to raise a stat, one must go to a designated room for training that particular stat and type <tt>TRAIN</tt> or <tt>STUDY</tt> twice to confirm. Training rooms for each stat are available within or near every major city.


A new character is given 600 TDPs right out of the Character Manager. After that, the only way to gain more TDPs is by circling or obtaining new ranks in skills.
A new character is given 600 TDPs right out of the Character Manager. After that, the only way to gain more TDPs is by circling or obtaining new ranks in skills.


==TDPs from Circling==
Each time you circle, you will gain a base amount of TDPs plus a bonus based on your circle. Below circle 10 you will always get a base of 50 TDPs. Between circles 10 to 20 you will get either 50 or 100 base TDPs. (We do not know what triggers the jump from 50+ per circle to 100+ per circle, but it definitely does not involve stat average.) After circle 20, you will always gain 100 TDPs as a base. The bonus TDPs are always equal to the circle you just attained.
Each time you circle, up to 150, you will gain a base number of TDPs plus a bonus based on your circle. Below circle 10 you get a base of 50 TDPs. Circle 10 onward, you will gain 100 TDPs as a base. The bonus TDPs are always equal to the circle you just attained. For example: if you attain circle 27, you will get 127 TDPs.


After circle 150, TDPs cannot be gained from circling. The total number of TDPs gained from circling is 25,824.
Ex. if you attain circle 27, you will get 127 TDPs.


==TDPs from Leveling Skills==
Each time you gain a new rank in any skill, the integer value of that rank is added into a hidden pool (the TDP pool). If at any time the total in the pool reaches or exceeds 200, you gain one TDP and 200 is subtracted from the pool. This also applies for multiples of 200--if the TDP pool reaches 400, you gain two TDP's and 400 points are subtracted; for 600 you get three TDP's and 600 is deducted from the pool, etc.
Each time you gain a new rank in any skill, the integer value of that rank is added into a hidden pool (the TDP pool). If at any time the total in the pool reaches or exceeds 200, you gain one TDP and 200 is subtracted from the pool. This also applies for multiples of 200: if the TDP pool reaches 400, you gain two TDPs and 400 points are subtracted; for 600 you get three TDPs and 600 is deducted from the pool, etc.


For example, let's assume that your TDP pool is currently zero. You increase your [[Perception skill]] to attain rank 150. 150 points are added to the TDP pool. You then increase your [[Leather Armor skill]] to rank 66. 66 points are added to the TDP pool, making a total of 216. You gain one TDP, and 200 points are subtracted from the TDP pool leaving 16 points. Next, you increase your [[Magical Devices skill]] to 197. Your pool increases to 213, you gain yet another TDP, and the pool is reduced to 13.
For example, let's assume that your TDP pool is currently zero. You increase your [[Perception skill]] to attain rank 150. 150 points are added to the TDP pool. You then increase your [[Leather Armor skill]] to rank 66. 66 points are added to the TDP pool, making a total of 216. You gain one TDP, and 200 points are subtracted from the TDP pool leaving 16 points. Next, you increase your {{skill|Arcana}} to 197. Your pool increases to 213, you gain yet another TDP, and the pool is reduced to 13.


Since the experience change where all tertiary skills less than 100 ranks are learned at the rate of secondary skills, it is considerably easier than it was to level tertiary skills for the sake of TDPs alone. Leveling a single skill to 100 ranks will result in a gain of 25 TDPs when all is said and done. Leveling a skill to only 50 will result in a gain of 6 TDPs.
Note that when you '''lose''' ranks from memory decay as a result of death without rejuvenation, your TDP pool will be '''reduced''' by the ranks you lost, and if this sends the TDP pool below zero you will lose a TDP, and 200 will be added to the pool. This process makes it possible to have a negative number of TDP's.


==Death and Losing TDPs==
Since the experience change where all tertiary skills less than 100 ranks are learned at the rate of secondary skills, it is considerably easier than it was to level tertiary skills for the sake of TDPs alone. Leveling a single skill to 100 ranks will result in a gain of 25 TDPs when all is said and done. Leveling a skill to only 50 will result in a gain of 6 TDPs.
When you '''lose''' ranks from memory decay as a result of death without rejuvenation, your TDP pool will be '''reduced''' by the ranks you lost. If this sends the TDP pool below zero you will lose a TDP, and 200 will be added to the pool. This process makes it possible to have a negative number of TDPs.


==TDP Formulas==
To determine how many total TDPs you will receive for leveling a skill from zero to ''n'', where ''n'' is the target rank of the skill, use this formula: (n(n+1) /2)/200
In mathematical terms, the total number of TDPs gained from a single skill is the sum of integers from 0 to the maximum earned rank divided by 200. This can be expressed as follows:


[[Image:TDPs_from_single_skill_formula.png]]
==See Also==

*[[Spell Library]]
In particular, TDPs are quadratic with respect to rank, meaning that it becomes more and more efficient at higher levels to train higher ranked skills. For example, a single skill produces the equivalent of one TDP at ranks 20, 28, 34, 39, 43, and so on, with the gap narrowly closing until (of course) a TDP is produced every rank past 200.

Since the "hidden TDP pool" is shared between skills, the floor function operates on the sum of skills, instead of each skill individually. The formula to calculate the total TDPs gained from all skills is as follows:

[[Image:TDPs_from_all_skill_formula.png]]

TDPs granted from all levels gained can be expressed with the following formula:

[[Image:TDPs_from_all_levels_formula.png]]


==Other Resources==
==Other Resources==
* {{com|TDP}} {{tt|project}}
[http://www.zairius.com/cgi-bin/tdpcalc.cgi Zairius.com TDP Calculator]
* [[Calculate TDPs gained (script)]]: A Genie script for calcluating the number of TDPs gained from advancing one skill from 1 to X.
* [http://matoom.github.io/calculators/tdpcalc.html DragonRealms TDP Calculator]


{{RefAl}}
[[Category:Statistics]]
{{Cat|Statistics}}

Latest revision as of 20:45, 21 December 2021

Time Development Points (TDPs) are used to increase attributes.

In order to use TDPs to raise a stat, one must go to a designated room for training that particular stat and type TRAIN or STUDY twice to confirm. Training rooms for each stat are available within or near every major city.

A new character is given 600 TDPs right out of the Character Manager. After that, the only way to gain more TDPs is by circling or obtaining new ranks in skills.

TDPs from Circling

Each time you circle, up to 150, you will gain a base number of TDPs plus a bonus based on your circle. Below circle 10 you get a base of 50 TDPs. Circle 10 onward, you will gain 100 TDPs as a base. The bonus TDPs are always equal to the circle you just attained. For example: if you attain circle 27, you will get 127 TDPs.

After circle 150, TDPs cannot be gained from circling. The total number of TDPs gained from circling is 25,824.

TDPs from Leveling Skills

Each time you gain a new rank in any skill, the integer value of that rank is added into a hidden pool (the TDP pool). If at any time the total in the pool reaches or exceeds 200, you gain one TDP and 200 is subtracted from the pool. This also applies for multiples of 200: if the TDP pool reaches 400, you gain two TDPs and 400 points are subtracted; for 600 you get three TDPs and 600 is deducted from the pool, etc.

For example, let's assume that your TDP pool is currently zero. You increase your Perception skill to attain rank 150. 150 points are added to the TDP pool. You then increase your Leather Armor skill to rank 66. 66 points are added to the TDP pool, making a total of 216. You gain one TDP, and 200 points are subtracted from the TDP pool leaving 16 points. Next, you increase your Arcana skill to 197. Your pool increases to 213, you gain yet another TDP, and the pool is reduced to 13.

Since the experience change where all tertiary skills less than 100 ranks are learned at the rate of secondary skills, it is considerably easier than it was to level tertiary skills for the sake of TDPs alone. Leveling a single skill to 100 ranks will result in a gain of 25 TDPs when all is said and done. Leveling a skill to only 50 will result in a gain of 6 TDPs.

Death and Losing TDPs

When you lose ranks from memory decay as a result of death without rejuvenation, your TDP pool will be reduced by the ranks you lost. If this sends the TDP pool below zero you will lose a TDP, and 200 will be added to the pool. This process makes it possible to have a negative number of TDPs.

TDP Formulas

In mathematical terms, the total number of TDPs gained from a single skill is the sum of integers from 0 to the maximum earned rank divided by 200. This can be expressed as follows:

TDPs from single skill formula.png

In particular, TDPs are quadratic with respect to rank, meaning that it becomes more and more efficient at higher levels to train higher ranked skills. For example, a single skill produces the equivalent of one TDP at ranks 20, 28, 34, 39, 43, and so on, with the gap narrowly closing until (of course) a TDP is produced every rank past 200.

Since the "hidden TDP pool" is shared between skills, the floor function operates on the sum of skills, instead of each skill individually. The formula to calculate the total TDPs gained from all skills is as follows:

TDPs from all skill formula.png

TDPs granted from all levels gained can be expressed with the following formula:

TDPs from all levels formula.png

Other Resources


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