Pokémon Go

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===CPM===

''CP multipliers'' are defined at increments of 0.5 for all Levels 1 through 50 (plus a few more), constant across all species and stats. Powering up a Pokémon increases its Level by 0.5. The ''half-level'' is ''L * 2 - 1'', i.e. Level 3 is half-level 5.

''CP multipliers'' are defined at increments of 0.5 for all Levels 1 through 50 (plus a few more), constant across all species and stats. Powering up a Pokémon increases its Level by 0.5. The ''half-level'' is ''L * 2 - 1'', i.e. Level 3 is half-level 5. This suggests 99 constants (but the bitch ain't one).

CPMs range from 0.094 to 0.8403. Non-integer Levels are always defined using the quadratic mean (root of mean of squares): CPM(L + 0.5) = √((CPM(L)2 + CPM(L + 1)2) / 2).

CPMs range from 0.094 to 0.8403. Non-integer Levels are always defined using the quadratic mean (root of mean of squares): CPM(L + 0.5) = √((CPM(L)2 + CPM(L + 1)2) / 2), getting us down to 50 constants.

We can define all 99 half-level CPMs recursively using ~~five~~ floating-point constants:

There are five regimes of growth: 1–9.5, 10–19.5, 20–29.5, 30–39.5, and 40+. We can define all 99 half-level CPMs recursively using seven floating-point and six integer constants in O(n) time and O(1) space:

float nextcpm(float cpm, float step){

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// halflevel: positive integer less than 100 equal to L * 2 - 1

float cpm(int halflevel){

if(halflevel >= 79){ // Level 40 and above

if(halflevel >= 79){ // Level 40 and above are computed directly

return 0.01 * (halflevel - 39)

return 0.0025 * (halflevel - 39) + 0.7903;

}else if(halflevel >= 59){ // Level 30..39

step = 0.00445946079;

Pokémon Go: Difference between revisions

Dank (talk | contribs)

@@ Line 20: / Line 20: @@
 ===CPM===
-''CP multipliers'' are defined at increments of 0.5 for all Levels 1 through 50 (plus a few more), constant across all species and stats. Powering up a Pokémon increases its Level by 0.5. The ''half-level'' is ''L * 2 - 1'', i.e. Level 3 is half-level 5.
+''CP multipliers'' are defined at increments of 0.5 for all Levels 1 through 50 (plus a few more), constant across all species and stats. Powering up a Pokémon increases its Level by 0.5. The ''half-level'' is ''L * 2 - 1'', i.e. Level 3 is half-level 5. This suggests 99 constants (but the bitch ain't one).
-CPMs range from 0.094 to 0.8403. Non-integer Levels are always defined using the quadratic mean (root of mean of squares): CPM(L + 0.5) = √((CPM(L)<sup>2</sup> + CPM(L + 1)<sup>2</sup>) / 2).
+CPMs range from 0.094 to 0.8403. Non-integer Levels are always defined using the quadratic mean (root of mean of squares): CPM(L + 0.5) = √((CPM(L)<sup>2</sup> + CPM(L + 1)<sup>2</sup>) / 2), getting us down to 50 constants.
-We can define all 99 half-level CPMs recursively using five floating-point constants:
+There are five regimes of growth: 1–9.5, 10–19.5, 20–29.5, 30–39.5, and 40+. We can define all 99 half-level CPMs recursively using seven floating-point and six integer constants in O(n) time and O(1) space:
 <syntaxhighlight>
 float nextcpm(float cpm, float step){
@@ Line 32: / Line 32: @@
 // halflevel: positive integer less than 100 equal to L * 2 - 1
 float cpm(int halflevel){
-   if(halflevel >= 79){ // Level 40 and above
+   if(halflevel >= 79){ // Level 40 and above are computed directly
-     return 0.01 * (halflevel - 39)
+     return 0.0025 * (halflevel - 39) + 0.7903;
    }else if(halflevel >= 59){ // Level 30..39
      step = 0.00445946079;