Use Melissa E. O'Neill's pcg for rng and Lemire's unbiased bounded rand

Mersenne Twister's state size is huge (kb's of state), instead we'll swap with a pcg.
The pcg's state is 128 bits and has a equidistributed 2^64 period (plenty for a quick rng).
To replicate std::distribution we use lemire's unbiased bounded random method.

Author: Andersama

src/displayapp/screens/Dice.cpp

@@ -43,11 +43,11 @@ Dice::Dice(Controllers::MotionController& motionController,
            Controllers::MotorController& motorController,
            Controllers::Settings& settingsController)
   : motorController {motorController}, motionController {motionController}, settingsController {settingsController} {
-  std::seed_seq sseq {static_cast<uint32_t>(xTaskGetTickCount()),
-                      static_cast<uint32_t>(motionController.X()),
-                      static_cast<uint32_t>(motionController.Y()),
-                      static_cast<uint32_t>(motionController.Z())};
-  gen.seed(sseq);
+  rng.state = (static_cast<uint32_t>(xTaskGetTickCount()) << 32) ^ (uint64_t) &rng;
+  rng.inc   = (static_cast<uint32_t>(motionController.X() << 32) ^ (static_cast<uint32_t>(motionController.Y() << 16)) ^ static_cast<uint32_t>(motionController.Z());
+  uint8_t discard = pcg32_random_r(&rng);
+  for (uint32_t i = 0; i < discard; i++)
+      pcg32_random_r(&rng);
 
   lv_obj_t* nCounterLabel = MakeLabel(&jetbrains_mono_bold_20,
                                       LV_COLOR_WHITE,
@@ -157,12 +157,10 @@ void Dice::Refresh() {
 void Dice::Roll() {
   uint8_t resultIndividual;
   uint16_t resultTotal = 0;
-  std::uniform_int_distribution<> distrib(1, dCounter.GetValue());
-
   lv_label_set_text(resultIndividualLabel, "");
 
   if (nCounter.GetValue() == 1) {
-    resultTotal = distrib(gen);
+    resultTotal = bounded_rand(rng, dCounter.GetValue()) + 1;
     if (dCounter.GetValue() == 2) {
       switch (resultTotal) {
         case 1:
@@ -175,7 +173,7 @@ void Dice::Roll() {
     }
   } else {
     for (uint8_t i = 0; i < nCounter.GetValue(); i++) {
-      resultIndividual = distrib(gen);
+      resultIndividual = bounded_rand(rng, dCounter.GetValue()) + 1;
       resultTotal += resultIndividual;
       lv_label_ins_text(resultIndividualLabel, LV_LABEL_POS_LAST, std::to_string(resultIndividual).c_str());
       if (i < (nCounter.GetValue() - 1)) {

src/displayapp/screens/Dice.h

@@ -12,6 +12,38 @@
 namespace Pinetime {
   namespace Applications {
     namespace Screens {
+      // *Really* minimal PCG32 code / (c) 2014 M.E. O'Neill / pcg-random.org
+      // Licensed under Apache License 2.0 (NO WARRANTY, etc. see website)
+      // Website: https://www.pcg-random.org/download.html
+      // See: https://www.apache.org/licenses/GPL-compatibility.html
+      typedef struct {
+        uint64_t state;
+        uint64_t inc;
+      } pcg32_random_t;
+
+      uint32_t pcg32_random_r(pcg32_random_t* rng) {
+        uint64_t oldstate = rng->state;
+        // Advance internal state
+        rng->state = oldstate * 6364136223846793005ULL + (rng->inc | 1);
+        // Calculate output function (XSH RR), uses old state for max ILP
+        uint32_t xorshifted = ((oldstate >> 18u) ^ oldstate) >> 27u;
+        uint32_t rot = oldstate >> 59u;
+        return (xorshifted >> rot) | (xorshifted << ((-rot) & 31));
+      }
+
+      // Lemire's Method (slight rewrite) [0, range)
+      uint32_t bounded_rand(pcg32_random_t& rng, uint32_t range) {
+        uint64_t m;
+        uint32_t t = (-range) % range;
+        uint32_t l;
+        do {
+          uint32_t x = pcg32_random_r(&rng);
+          m = uint64_t(x) * uint64_t(range);
+          l = uint32_t(m);
+        } while (l < t);
+        return m >> 32;
+      }
+
       class Dice : public Screen {
       public:
         Dice(Controllers::MotionController& motionController,
@@ -29,7 +61,7 @@ namespace Pinetime {
         lv_task_t* refreshTask;
         bool enableShakeForDice = false;
 
-        std::mt19937 gen;
+        pcg32_random_t rng;
 
         std::array<lv_color_t, 3> resultColors = {LV_COLOR_YELLOW, LV_COLOR_MAGENTA, LV_COLOR_AQUA};
         uint8_t currentColorIndex;