Fix animation timing precision loss by replacing fmod with iterative subtraction

Floating-point fmod() loses precision with large accumulated time values, causing
subtle jumps/hitches in animation loops. Replace with iterative duration subtraction
to keep animationTime bounded and maintain precision, consistent with the fix
applied to character_renderer.cpp.

Applies to:
- M2 creature/object animation loops (main update)
- M2 particle-only instance wrapping (3333ms limit)
- M2 global sequence timing resolution
- M2 animated particle tile indexing
- Mount bobbing motion (sinusoidal rider motion)
- Character footstep trigger timing
- Mount footstep trigger timing

All timing computations now use the same precision-preserving approach.

src/rendering/m2_renderer.cpp

@@ -1880,7 +1880,15 @@ static void resolveTrackTime(const pipeline::M2AnimationTrack& track,
         // Global sequence: always use sub-array 0, wrap time at global duration
         outSeqIdx = 0;
         float dur = static_cast<float>(globalSeqDurations[track.globalSequence]);
-        outTime = (dur > 0.0f) ? std::fmod(time, dur) : 0.0f;
+        if (dur > 0.0f) {
+            // Use iterative subtraction instead of fmod() to preserve precision
+            outTime = time;
+            while (outTime >= dur) {
+                outTime -= dur;
+            }
+        } else {
+            outTime = 0.0f;
+        }
     } else {
         outSeqIdx = seqIdx;
         outTime = time;
@@ -2070,8 +2078,9 @@ void M2Renderer::update(float deltaTime, const glm::vec3& cameraPos, const glm::
     for (size_t idx : particleOnlyInstanceIndices_) {
         if (idx >= instances.size()) continue;
         auto& instance = instances[idx];
-        if (instance.animTime > 3333.0f) {
-            instance.animTime = std::fmod(instance.animTime, 3333.0f);
+        // Use iterative subtraction instead of fmod() to preserve precision
+        while (instance.animTime > 3333.0f) {
+            instance.animTime -= 3333.0f;
         }
     }
 
@@ -2114,7 +2123,11 @@ void M2Renderer::update(float deltaTime, const glm::vec3& cameraPos, const glm::
                 instance.animTime = 0.0f;
                 instance.variationTimer = 4000.0f + static_cast<float>(rand() % 6000);
             } else {
-                instance.animTime = std::fmod(instance.animTime, std::max(1.0f, instance.animDuration));
+                // Use iterative subtraction instead of fmod() to preserve precision
+                float duration = std::max(1.0f, instance.animDuration);
+                while (instance.animTime >= duration) {
+                    instance.animTime -= duration;
+                }
             }
         }
 
@@ -3452,8 +3465,12 @@ void M2Renderer::renderM2Particles(VkCommandBuffer cmd, VkDescriptorSet perFrame
             if ((em.flags & kParticleFlagTiled) && totalTiles > 1) {
                 float animSeconds = inst.animTime / 1000.0f;
                 uint32_t animFrame = static_cast<uint32_t>(std::floor(animSeconds * totalTiles)) % totalTiles;
-                tileIndex = std::fmod(p.tileIndex + static_cast<float>(animFrame),
-                                      static_cast<float>(totalTiles));
+                tileIndex = p.tileIndex + static_cast<float>(animFrame);
+                float tilesFloat = static_cast<float>(totalTiles);
+                // Wrap tile index within totalTiles range
+                while (tileIndex >= tilesFloat) {
+                    tileIndex -= tilesFloat;
+                }
             }
             group.vertexData.push_back(tileIndex);
             totalParticles++;

src/rendering/renderer.cpp

@@ -2008,7 +2008,12 @@ void Renderer::updateCharacterAnimation() {
             // Rider bob: sinusoidal motion synced to mount's run animation (only used in fallback positioning)
             mountBob = 0.0f;
             if (moving && haveMountState && curMountDur > 1.0f) {
-                float norm = std::fmod(curMountTime, curMountDur) / curMountDur;
+                // Wrap mount time preserving precision via subtraction instead of fmod
+                float wrappedTime = curMountTime;
+                while (wrappedTime >= curMountDur) {
+                    wrappedTime -= curMountDur;
+                }
+                float norm = wrappedTime / curMountDur;
                 // One bounce per stride cycle
                 float bobSpeed = taxiFlight_ ? 2.0f : 1.0f;
                 mountBob = std::sin(norm * 2.0f * 3.14159f * bobSpeed) * 0.12f;
@@ -2580,8 +2585,13 @@ bool Renderer::shouldTriggerFootstepEvent(uint32_t animationId, float animationT
         return false;
     }
 
-    float norm = std::fmod(animationTimeMs, animationDurationMs) / animationDurationMs;
-    if (norm < 0.0f) norm += 1.0f;
+    // Wrap animation time preserving precision via subtraction instead of fmod
+    float wrappedTime = animationTimeMs;
+    while (wrappedTime >= animationDurationMs) {
+        wrappedTime -= animationDurationMs;
+    }
+    if (wrappedTime < 0.0f) wrappedTime += animationDurationMs;
+    float norm = wrappedTime / animationDurationMs;
 
     if (animationId != footstepLastAnimationId) {
         footstepLastAnimationId = animationId;
@@ -2875,8 +2885,13 @@ void Renderer::update(float deltaTime) {
             float animTimeMs = 0.0f, animDurationMs = 0.0f;
             if (characterRenderer->getAnimationState(mountInstanceId_, animId, animTimeMs, animDurationMs) &&
                 animDurationMs > 1.0f && cameraController->isMoving()) {
-                float norm = std::fmod(animTimeMs, animDurationMs) / animDurationMs;
-                if (norm < 0.0f) norm += 1.0f;
+                // Wrap animation time preserving precision via subtraction instead of fmod
+                float wrappedTime = animTimeMs;
+                while (wrappedTime >= animDurationMs) {
+                    wrappedTime -= animDurationMs;
+                }
+                if (wrappedTime < 0.0f) wrappedTime += animDurationMs;
+                float norm = wrappedTime / animDurationMs;
 
                 if (animId != mountFootstepLastAnimId) {
                     mountFootstepLastAnimId = animId;