diff --git a/src/gpu/GrTessellator.cpp b/src/gpu/GrTessellator.cpp
index 79f5765..9369d70 100644
--- a/src/gpu/GrTessellator.cpp
+++ b/src/gpu/GrTessellator.cpp
@@ -2116,8 +2116,8 @@
     return contourCnt;
 }
 
-int count_points(Poly* polys, SkPath::FillType fillType) {
-    int count = 0;
+int64_t count_points(Poly* polys, SkPath::FillType fillType) {
+    int64_t count = 0;
     for (Poly* poly = polys; poly; poly = poly->fNext) {
         if (apply_fill_type(fillType, poly) && poly->fCount >= 3) {
             count += (poly->fCount - 2) * (TESSELLATOR_WIREFRAME ? 6 : 3);
@@ -2126,8 +2126,8 @@
     return count;
 }
 
-int count_outer_mesh_points(const VertexList& outerMesh) {
-    int count = 0;
+int64_t count_outer_mesh_points(const VertexList& outerMesh) {
+    int64_t count = 0;
     for (Vertex* v = outerMesh.fHead; v; v = v->fNext) {
         for (Edge* e = v->fFirstEdgeBelow; e; e = e->fNextEdgeBelow) {
             count += TESSELLATOR_WIREFRAME ? 12 : 6;
@@ -2169,13 +2169,14 @@
     Poly* polys = path_to_polys(path, tolerance, clipBounds, contourCnt, alloc, antialias,
                                 isLinear, &outerMesh);
     SkPath::FillType fillType = antialias ? SkPath::kWinding_FillType : path.getFillType();
-    int count = count_points(polys, fillType);
+    int64_t count64 = count_points(polys, fillType);
     if (antialias) {
-        count += count_outer_mesh_points(outerMesh);
+        count64 += count_outer_mesh_points(outerMesh);
     }
-    if (0 == count) {
+    if (0 == count64 || count64 > SK_MaxS32) {
         return 0;
     }
+    int count = count64;
 
     void* verts = vertexAllocator->lock(count);
     if (!verts) {
@@ -2209,11 +2210,12 @@
     Poly* polys = path_to_polys(path, tolerance, clipBounds, contourCnt, alloc, false, &isLinear,
                                 nullptr);
     SkPath::FillType fillType = path.getFillType();
-    int count = count_points(polys, fillType);
-    if (0 == count) {
+    int64_t count64 = count_points(polys, fillType);
+    if (0 == count64 || count64 > SK_MaxS32) {
         *verts = nullptr;
         return 0;
     }
+    int count = count64;
 
     *verts = new GrTessellator::WindingVertex[count];
     GrTessellator::WindingVertex* vertsEnd = *verts;
diff --git a/src/gpu/ops/GrAAConvexPathRenderer.cpp b/src/gpu/ops/GrAAConvexPathRenderer.cpp
index a1d7392..d1fbbc4 100644
--- a/src/gpu/ops/GrAAConvexPathRenderer.cpp
+++ b/src/gpu/ops/GrAAConvexPathRenderer.cpp
@@ -22,6 +22,7 @@
 #include "SkPointPriv.h"
 #include "SkString.h"
 #include "SkTraceEvent.h"
+#include "SkTypes.h"
 #include "glsl/GrGLSLFragmentShaderBuilder.h"
 #include "glsl/GrGLSLGeometryProcessor.h"
 #include "glsl/GrGLSLProgramDataManager.h"
@@ -132,8 +133,8 @@
         normSide = SkPointPriv::kLeft_Side;
     }
 
-    *vCount = 0;
-    *iCount = 0;
+    int64_t vCount64 = 0;
+    int64_t iCount64 = 0;
     // compute normals at all points
     for (int a = 0; a < count; ++a) {
         Segment& sega = (*segments)[a];
@@ -149,11 +150,11 @@
             prevPt = &segb.fPts[p];
         }
         if (Segment::kLine == segb.fType) {
-            *vCount += 5;
-            *iCount += 9;
+            vCount64 += 5;
+            iCount64 += 9;
         } else {
-            *vCount += 6;
-            *iCount += 12;
+            vCount64 += 6;
+            iCount64 += 12;
         }
     }
 
@@ -166,9 +167,14 @@
         segb.fMid = segb.fNorms[0] + sega.endNorm();
         segb.fMid.normalize();
         // corner wedges
-        *vCount += 4;
-        *iCount += 6;
+        vCount64 += 4;
+        iCount64 += 6;
     }
+    if (vCount64 > SK_MaxS32 || iCount64 > SK_MaxS32) {
+        return false;
+    }
+    *vCount = vCount64;
+    *iCount = iCount64;
     return true;
 }
 
diff --git a/src/gpu/ops/GrAALinearizingConvexPathRenderer.cpp b/src/gpu/ops/GrAALinearizingConvexPathRenderer.cpp
index 2176e09..2c1ea50 100644
--- a/src/gpu/ops/GrAALinearizingConvexPathRenderer.cpp
+++ b/src/gpu/ops/GrAALinearizingConvexPathRenderer.cpp
@@ -255,10 +255,10 @@
 
         int instanceCount = fPaths.count();
 
-        int vertexCount = 0;
-        int indexCount = 0;
-        int maxVertices = DEFAULT_BUFFER_SIZE;
-        int maxIndices = DEFAULT_BUFFER_SIZE;
+        int64_t vertexCount = 0;
+        int64_t indexCount = 0;
+        int64_t maxVertices = DEFAULT_BUFFER_SIZE;
+        int64_t maxIndices = DEFAULT_BUFFER_SIZE;
         uint8_t* vertices = (uint8_t*) sk_malloc_throw(maxVertices * vertexStride);
         uint16_t* indices = (uint16_t*) sk_malloc_throw(maxIndices * sizeof(uint16_t));
         for (int i = 0; i < instanceCount; i++) {
@@ -270,8 +270,8 @@
                 continue;
             }
 
-            int currentIndices = tess.numIndices();
-            if (indexCount + currentIndices > static_cast<int>(UINT16_MAX)) {
+            int currentVertices = tess.numPts();
+            if (vertexCount + currentVertices > static_cast<int>(UINT16_MAX)) {
                 // if we added the current instance, we would overflow the indices we can store in a
                 // uint16_t. Draw what we've got so far and reset.
                 this->draw(target, gp.get(), pipeline, vertexCount, vertexStride, vertices,
@@ -279,13 +279,23 @@
                 vertexCount = 0;
                 indexCount = 0;
             }
-            int currentVertices = tess.numPts();
             if (vertexCount + currentVertices > maxVertices) {
                 maxVertices = SkTMax(vertexCount + currentVertices, maxVertices * 2);
+                if (maxVertices * vertexStride > SK_MaxS32) {
+                    sk_free(vertices);
+                    sk_free(indices);
+                    return;
+                }
                 vertices = (uint8_t*) sk_realloc_throw(vertices, maxVertices * vertexStride);
             }
+            int currentIndices = tess.numIndices();
             if (indexCount + currentIndices > maxIndices) {
                 maxIndices = SkTMax(indexCount + currentIndices, maxIndices * 2);
+                if (maxIndices * sizeof(uint16_t) > SK_MaxS32) {
+                    sk_free(vertices);
+                    sk_free(indices);
+                    return;
+                }
                 indices = (uint16_t*) sk_realloc_throw(indices, maxIndices * sizeof(uint16_t));
             }
 
@@ -295,8 +305,10 @@
             vertexCount += currentVertices;
             indexCount += currentIndices;
         }
-        this->draw(target, gp.get(), pipeline, vertexCount, vertexStride, vertices, indexCount,
-                   indices);
+        if (vertexCount <= SK_MaxS32 && indexCount <= SK_MaxS32) {
+            this->draw(target, gp.get(), pipeline, vertexCount, vertexStride, vertices, indexCount,
+                       indices);
+        }
         sk_free(vertices);
         sk_free(indices);
     }
diff --git a/src/gpu/ops/GrSmallPathRenderer.cpp b/src/gpu/ops/GrSmallPathRenderer.cpp
index cbf1f68..2ad23cb 100644
--- a/src/gpu/ops/GrSmallPathRenderer.cpp
+++ b/src/gpu/ops/GrSmallPathRenderer.cpp
@@ -351,6 +351,12 @@
         SkASSERT(vertexStride == sizeof(SkPoint) + sizeof(GrColor) + 2*sizeof(uint16_t));
 
         const GrBuffer* vertexBuffer;
+
+        // We need to make sure we don't overflow a 32 bit int when we request space in the
+        // makeVertexSpace call below.
+        if (instanceCount > SK_MaxS32 / kVerticesPerQuad) {
+            return;
+        }
         void* vertices = target->makeVertexSpace(vertexStride,
                                                  kVerticesPerQuad * instanceCount,
                                                  &vertexBuffer,