diff --git a/drivers/gpu/drm/i915/i915_drv.h b/drivers/gpu/drm/i915/i915_drv.h
index a1b980129607..85ae83a0c937 100644
--- a/drivers/gpu/drm/i915/i915_drv.h
+++ b/drivers/gpu/drm/i915/i915_drv.h
@@ -2286,9 +2286,12 @@ struct drm_i915_gem_object {
 
 	struct sg_table *pages;
 	int pages_pin_count;
-	struct get_page {
-		struct scatterlist *sg;
-		int last;
+	struct i915_gem_object_page_iter {
+		struct scatterlist *sg_pos;
+		unsigned int sg_idx; /* in pages, but 32bit eek! */
+
+		struct radix_tree_root radix;
+		struct mutex lock; /* protects this cache */
 	} get_page;
 	void *mapping;
 
@@ -2491,6 +2494,14 @@ static __always_inline struct sgt_iter {
 	return s;
 }
 
+static inline struct scatterlist *____sg_next(struct scatterlist *sg)
+{
+	++sg;
+	if (unlikely(sg_is_chain(sg)))
+		sg = sg_chain_ptr(sg);
+	return sg;
+}
+
 /**
  * __sg_next - return the next scatterlist entry in a list
  * @sg:		The current sg entry
@@ -2505,9 +2516,7 @@ static inline struct scatterlist *__sg_next(struct scatterlist *sg)
 #ifdef CONFIG_DEBUG_SG
 	BUG_ON(sg->sg_magic != SG_MAGIC);
 #endif
-	return sg_is_last(sg) ? NULL :
-		likely(!sg_is_chain(++sg)) ? sg :
-		sg_chain_ptr(sg);
+	return sg_is_last(sg) ? NULL : ____sg_next(sg);
 }
 
 /**
@@ -3185,45 +3194,21 @@ static inline int __sg_page_count(struct scatterlist *sg)
 	return sg->length >> PAGE_SHIFT;
 }
 
+struct scatterlist *
+i915_gem_object_get_sg(struct drm_i915_gem_object *obj,
+		       unsigned int n, unsigned int *offset);
+
 struct page *
-i915_gem_object_get_dirty_page(struct drm_i915_gem_object *obj, int n);
+i915_gem_object_get_page(struct drm_i915_gem_object *obj,
+			 unsigned int n);
 
-static inline dma_addr_t
-i915_gem_object_get_dma_address(struct drm_i915_gem_object *obj, int n)
-{
-	if (n < obj->get_page.last) {
-		obj->get_page.sg = obj->pages->sgl;
-		obj->get_page.last = 0;
-	}
+struct page *
+i915_gem_object_get_dirty_page(struct drm_i915_gem_object *obj,
+			       unsigned int n);
 
-	while (obj->get_page.last + __sg_page_count(obj->get_page.sg) <= n) {
-		obj->get_page.last += __sg_page_count(obj->get_page.sg++);
-		if (unlikely(sg_is_chain(obj->get_page.sg)))
-			obj->get_page.sg = sg_chain_ptr(obj->get_page.sg);
-	}
-
-	return sg_dma_address(obj->get_page.sg) + ((n - obj->get_page.last) << PAGE_SHIFT);
-}
-
-static inline struct page *
-i915_gem_object_get_page(struct drm_i915_gem_object *obj, int n)
-{
-	if (WARN_ON(n >= obj->base.size >> PAGE_SHIFT))
-		return NULL;
-
-	if (n < obj->get_page.last) {
-		obj->get_page.sg = obj->pages->sgl;
-		obj->get_page.last = 0;
-	}
-
-	while (obj->get_page.last + __sg_page_count(obj->get_page.sg) <= n) {
-		obj->get_page.last += __sg_page_count(obj->get_page.sg++);
-		if (unlikely(sg_is_chain(obj->get_page.sg)))
-			obj->get_page.sg = sg_chain_ptr(obj->get_page.sg);
-	}
-
-	return nth_page(sg_page(obj->get_page.sg), n - obj->get_page.last);
-}
+dma_addr_t
+i915_gem_object_get_dma_address(struct drm_i915_gem_object *obj,
+				unsigned long n);
 
 static inline void i915_gem_object_pin_pages(struct drm_i915_gem_object *obj)
 {
diff --git a/drivers/gpu/drm/i915/i915_gem.c b/drivers/gpu/drm/i915/i915_gem.c
index 528958d8fa5a..aa0de3aa2565 100644
--- a/drivers/gpu/drm/i915/i915_gem.c
+++ b/drivers/gpu/drm/i915/i915_gem.c
@@ -2330,6 +2330,15 @@ i915_gem_object_put_pages_gtt(struct drm_i915_gem_object *obj)
 	kfree(obj->pages);
 }
 
+static void __i915_gem_object_reset_page_iter(struct drm_i915_gem_object *obj)
+{
+	struct radix_tree_iter iter;
+	void **slot;
+
+	radix_tree_for_each_slot(slot, &obj->get_page.radix, &iter, 0)
+		radix_tree_delete(&obj->get_page.radix, iter.index);
+}
+
 int
 i915_gem_object_put_pages(struct drm_i915_gem_object *obj)
 {
@@ -2362,6 +2371,8 @@ i915_gem_object_put_pages(struct drm_i915_gem_object *obj)
 		obj->mapping = NULL;
 	}
 
+	__i915_gem_object_reset_page_iter(obj);
+
 	ops->put_pages(obj);
 	obj->pages = NULL;
 
@@ -2531,8 +2542,8 @@ i915_gem_object_get_pages(struct drm_i915_gem_object *obj)
 
 	list_add_tail(&obj->global_list, &dev_priv->mm.unbound_list);
 
-	obj->get_page.sg = obj->pages->sgl;
-	obj->get_page.last = 0;
+	obj->get_page.sg_pos = obj->pages->sgl;
+	obj->get_page.sg_idx = 0;
 
 	return 0;
 }
@@ -4337,6 +4348,8 @@ void i915_gem_object_init(struct drm_i915_gem_object *obj,
 
 	obj->frontbuffer_ggtt_origin = ORIGIN_GTT;
 	obj->madv = I915_MADV_WILLNEED;
+	INIT_RADIX_TREE(&obj->get_page.radix, GFP_KERNEL | __GFP_NOWARN);
+	mutex_init(&obj->get_page.lock);
 
 	i915_gem_info_add_obj(to_i915(obj->base.dev), obj->base.size);
 }
@@ -5032,21 +5045,6 @@ void i915_gem_track_fb(struct drm_i915_gem_object *old,
 	}
 }
 
-/* Like i915_gem_object_get_page(), but mark the returned page dirty */
-struct page *
-i915_gem_object_get_dirty_page(struct drm_i915_gem_object *obj, int n)
-{
-	struct page *page;
-
-	/* Only default objects have per-page dirty tracking */
-	if (WARN_ON(!i915_gem_object_has_struct_page(obj)))
-		return NULL;
-
-	page = i915_gem_object_get_page(obj, n);
-	set_page_dirty(page);
-	return page;
-}
-
 /* Allocate a new GEM object and fill it with the supplied data */
 struct drm_i915_gem_object *
 i915_gem_object_create_from_data(struct drm_device *dev,
@@ -5087,3 +5085,156 @@ fail:
 	i915_gem_object_put(obj);
 	return ERR_PTR(ret);
 }
+
+struct scatterlist *
+i915_gem_object_get_sg(struct drm_i915_gem_object *obj,
+		       unsigned int n,
+		       unsigned int *offset)
+{
+	struct i915_gem_object_page_iter *iter = &obj->get_page;
+	struct scatterlist *sg;
+	unsigned int idx, count;
+
+	might_sleep();
+	GEM_BUG_ON(n >= obj->base.size >> PAGE_SHIFT);
+	GEM_BUG_ON(obj->pages_pin_count == 0);
+
+	/* As we iterate forward through the sg, we record each entry in a
+	 * radixtree for quick repeated (backwards) lookups. If we have seen
+	 * this index previously, we will have an entry for it.
+	 *
+	 * Initial lookup is O(N), but this is amortized to O(1) for
+	 * sequential page access (where each new request is consecutive
+	 * to the previous one). Repeated lookups are O(lg(obj->base.size)),
+	 * i.e. O(1) with a large constant!
+	 */
+	if (n < READ_ONCE(iter->sg_idx))
+		goto lookup;
+
+	mutex_lock(&iter->lock);
+
+	/* We prefer to reuse the last sg so that repeated lookup of this
+	 * (or the subsequent) sg are fast - comparing against the last
+	 * sg is faster than going through the radixtree.
+	 */
+
+	sg = iter->sg_pos;
+	idx = iter->sg_idx;
+	count = __sg_page_count(sg);
+
+	while (idx + count <= n) {
+		unsigned long exception, i;
+		int ret;
+
+		/* If we cannot allocate and insert this entry, or the
+		 * individual pages from this range, cancel updating the
+		 * sg_idx so that on this lookup we are forced to linearly
+		 * scan onwards, but on future lookups we will try the
+		 * insertion again (in which case we need to be careful of
+		 * the error return reporting that we have already inserted
+		 * this index).
+		 */
+		ret = radix_tree_insert(&iter->radix, idx, sg);
+		if (ret && ret != -EEXIST)
+			goto scan;
+
+		exception =
+			RADIX_TREE_EXCEPTIONAL_ENTRY |
+			idx << RADIX_TREE_EXCEPTIONAL_SHIFT;
+		for (i = 1; i < count; i++) {
+			ret = radix_tree_insert(&iter->radix, idx + i,
+						(void *)exception);
+			if (ret && ret != -EEXIST)
+				goto scan;
+		}
+
+		idx += count;
+		sg = ____sg_next(sg);
+		count = __sg_page_count(sg);
+	}
+
+scan:
+	iter->sg_pos = sg;
+	iter->sg_idx = idx;
+
+	mutex_unlock(&iter->lock);
+
+	if (unlikely(n < idx)) /* insertion completed by another thread */
+		goto lookup;
+
+	/* In case we failed to insert the entry into the radixtree, we need
+	 * to look beyond the current sg.
+	 */
+	while (idx + count <= n) {
+		idx += count;
+		sg = ____sg_next(sg);
+		count = __sg_page_count(sg);
+	}
+
+	*offset = n - idx;
+	return sg;
+
+lookup:
+	rcu_read_lock();
+
+	sg = radix_tree_lookup(&iter->radix, n);
+	GEM_BUG_ON(!sg);
+
+	/* If this index is in the middle of multi-page sg entry,
+	 * the radixtree will contain an exceptional entry that points
+	 * to the start of that range. We will return the pointer to
+	 * the base page and the offset of this page within the
+	 * sg entry's range.
+	 */
+	*offset = 0;
+	if (unlikely(radix_tree_exception(sg))) {
+		unsigned long base =
+			(unsigned long)sg >> RADIX_TREE_EXCEPTIONAL_SHIFT;
+
+		sg = radix_tree_lookup(&iter->radix, base);
+		GEM_BUG_ON(!sg);
+
+		*offset = n - base;
+	}
+
+	rcu_read_unlock();
+
+	return sg;
+}
+
+struct page *
+i915_gem_object_get_page(struct drm_i915_gem_object *obj, unsigned int n)
+{
+	struct scatterlist *sg;
+	unsigned int offset;
+
+	GEM_BUG_ON(!i915_gem_object_has_struct_page(obj));
+
+	sg = i915_gem_object_get_sg(obj, n, &offset);
+	return nth_page(sg_page(sg), offset);
+}
+
+/* Like i915_gem_object_get_page(), but mark the returned page dirty */
+struct page *
+i915_gem_object_get_dirty_page(struct drm_i915_gem_object *obj,
+			       unsigned int n)
+{
+	struct page *page;
+
+	page = i915_gem_object_get_page(obj, n);
+	if (!obj->dirty)
+		set_page_dirty(page);
+
+	return page;
+}
+
+dma_addr_t
+i915_gem_object_get_dma_address(struct drm_i915_gem_object *obj,
+				unsigned long n)
+{
+	struct scatterlist *sg;
+	unsigned int offset;
+
+	sg = i915_gem_object_get_sg(obj, n, &offset);
+	return sg_dma_address(sg) + (offset << PAGE_SHIFT);
+}
diff --git a/drivers/gpu/drm/i915/i915_gem_stolen.c b/drivers/gpu/drm/i915/i915_gem_stolen.c
index f4f6d3a48b05..70e61bc35c60 100644
--- a/drivers/gpu/drm/i915/i915_gem_stolen.c
+++ b/drivers/gpu/drm/i915/i915_gem_stolen.c
@@ -595,8 +595,8 @@ _i915_gem_object_create_stolen(struct drm_device *dev,
 	if (obj->pages == NULL)
 		goto cleanup;
 
-	obj->get_page.sg = obj->pages->sgl;
-	obj->get_page.last = 0;
+	obj->get_page.sg_pos = obj->pages->sgl;
+	obj->get_page.sg_idx = 0;
 
 	i915_gem_object_pin_pages(obj);
 	obj->stolen = stolen;
diff --git a/drivers/gpu/drm/i915/i915_gem_userptr.c b/drivers/gpu/drm/i915/i915_gem_userptr.c
index c49dd95413bd..e2fa970bb629 100644
--- a/drivers/gpu/drm/i915/i915_gem_userptr.c
+++ b/drivers/gpu/drm/i915/i915_gem_userptr.c
@@ -530,8 +530,8 @@ __i915_gem_userptr_get_pages_worker(struct work_struct *_work)
 			if (ret == 0) {
 				list_add_tail(&obj->global_list,
 					      &to_i915(dev)->mm.unbound_list);
-				obj->get_page.sg = obj->pages->sgl;
-				obj->get_page.last = 0;
+				obj->get_page.sg_pos = obj->pages->sgl;
+				obj->get_page.sg_idx = 0;
 				pinned = 0;
 			}
 		}