diff --git a/azur/include/azur/gint/render.h b/azur/include/azur/gint/render.h
index a5ea06f..f21612c 100644
--- a/azur/include/azur/gint/render.h
+++ b/azur/include/azur/gint/render.h
@@ -184,25 +184,24 @@ void azrp_hook_set_prefrag(azrp_hook_prefrag_t *);
 
 //---
 // Standard shaders
+//
+// None of the functions below acturally draw to the display; they all queue
+// commands that get executed when azrp_render_fragment() or azrp_update() is
+// called. They all return rather quickly and the time they take executing is
+// counted towards command generation, not rendering.
 //---
 
-/* Clears the entire output with a single color */
-extern uint8_t AZRP_SHADER_CLEAR;
-/* Renders gint images with various dynamic effects */
-extern uint8_t AZRP_SHADER_IMAGE_RGB16;
-extern uint8_t AZRP_SHADER_IMAGE_P8;
-extern uint8_t AZRP_SHADER_IMAGE_P4;
-
-/* azrp_clear(): Clear output [ARZP_SHADER_CLEAR] */
+/* azrp_clear(): Clear output with a flat color */
 void azrp_clear(uint16_t color);
 
-/* azrp_image(): Queue image command [AZRP_SHADER_IMAGE_*] */
+/* azrp_image(): Render a full image, like dimage(). */
 void azrp_image(int x, int y, bopti_image_t const *image);
 
-/* azrp_subimage(): Queue image subsection command [AZRP_SHADER_IMAGE_*] */
+/* azrp_subimage(): Render a section of an image, like dsubimage(). */
 void azrp_subimage(int x, int y, bopti_image_t const *image,
    int left, int top, int width, int height, int flags);
 
+/* azrp_triangle(): Render a flat triangle. Points can be in any order. */
 void azrp_triangle(int x1, int y1, int x2, int y2, int x3, int y3, int color);
 
 /* See below for more detailed image functions. Dynamic effects are provided
diff --git a/azur/src/gint/shaders/image.c b/azur/src/gint/shaders/image.c
index 0ae2162..825b5bf 100644
--- a/azur/src/gint/shaders/image.c
+++ b/azur/src/gint/shaders/image.c
@@ -1,6 +1,10 @@
 #include <azur/gint/render.h>
 #include <gint/defs/util.h>
 
+extern uint8_t AZRP_SHADER_IMAGE_RGB16;
+extern uint8_t AZRP_SHADER_IMAGE_P8;
+extern uint8_t AZRP_SHADER_IMAGE_P4;
+
 void azrp_queue_image(struct gint_image_box *box, image_t const *img,
     struct gint_image_cmd *cmd)
 {
diff --git a/azur/src/gint/shaders/triangle.c b/azur/src/gint/shaders/triangle.c
index a2d29a1..852d44d 100644
--- a/azur/src/gint/shaders/triangle.c
+++ b/azur/src/gint/shaders/triangle.c
@@ -29,7 +29,7 @@ struct command {
    uint8_t shader_id;
    /* Local y coordinate of the first line in the fragment */
    uint8_t y;
-   /* Numebr of lines to render total, including this fragment */
+   /* Number of lines to render total, including this fragment */
    uint8_t height_total;
    /* Number of lines to render on the current fragment */
    uint8_t height_frag;
@@ -43,7 +43,7 @@ struct command {
    int u0, v0, w0;
    /* Variation of each coordinate for a movement in x */
    int du_x, dv_x, dw_x;
-   /* Variation of each coordinate for a movement in y while canceling rows's
+   /* Variation of each coordinate for a movement in y while canceling rows'
       movements in x */
    int du_row, dv_row, dw_row;
 };
@@ -83,6 +83,16 @@ void azrp_triangle(int x1, int y1, int x2, int y2, int x3, int y3, int color)
     cmd.x_max = max_x;
     cmd.color = color;
 
+    /* Swap points 1 and 2 if the order of points is not left-handed */
+    if(edge_start(x1, y1, x2, y2, x3, y3) < 0) {
+        int xt = x1;
+        x1 = x2;
+        x2 = xt;
+        int yt = y1;
+        y1 = y2;
+        y2 = yt;
+    }
+
     /* Vector products for barycentric coordinates */
     cmd.u0 = edge_start(x2, y2, x3, y3, min_x, min_y);
     cmd.du_x = y3 - y2;