diff --git a/tests/texturing/depth-tex-compare.c b/tests/texturing/depth-tex-compare.c
index 8117cac..e92a633 100644
--- a/tests/texturing/depth-tex-compare.c
+++ b/tests/texturing/depth-tex-compare.c
@@ -38,7 +38,7 @@
 
 int piglit_window_mode = GLUT_DOUBLE | GLUT_RGB;
 int piglit_width = 400;
-int piglit_height = 300;
+int piglit_height = 400;
 
 static GLuint tex;
 
@@ -110,7 +110,15 @@ piglit_display(void)
 	static const GLfloat white[3] = {1.0, 1.0, 1.0};
 	static const GLfloat black[3] = {0.0, 0.0, 0.0};
 	static const GLfloat green[3] = {0.0, 1.0, 0.0};
-
+	static const GLfloat dont_care[3] = {-1, -1.0, -1.0};
+
+	/*
+	 * The dont_care values indicate places where the interpolated R
+	 * coordinate _should_ be 0.5 but because of implementation difference
+	 * may be a little bit off.
+	 * XXX we may need to add more dont_care cases for other hardware
+	 * as needed.
+	 */
 	static const struct {
 		GLenum compare;
 		float r0;
@@ -128,17 +136,26 @@ piglit_display(void)
 		{
 			GL_LEQUAL,   2.0, 0.0,
 			{
-				pink, white, pink,
-				pink, black, pink,
-				pink, green, pink,
+				pink, white, dont_care,
+				pink, black, dont_care,
+				pink, green, dont_care,
+			}
+		},
+		/* GL_LEQUAL again, with r0=r1=0.5 */
+		{
+			GL_LEQUAL,   0.5, 0.5,
+			{
+				pink, pink, pink,
+				pink, pink, pink,
+				pink, pink, pink,
 			}
 		},
 		{
 			GL_GREATER,  2.0, 0.0,
 			{
-				white, pink, white,
-				black, pink, black,
-				green, pink, green,
+				white, pink, dont_care,
+				black, pink, dont_care,
+				green, pink, dont_care,
 			}
 		},
 		{
@@ -149,6 +166,15 @@ piglit_display(void)
 				green, pink, pink,
 			}
 		},
+		/* GL_GEQUAL again, with r0=r1=0.5 */
+		{
+			GL_GEQUAL,   0.5, 0.5,
+			{
+				pink, pink, white,
+				pink, pink, black,
+				pink, pink, green,
+			}
+		},
 		{
 			GL_ALWAYS,   2.0, 0.0,
 			{
@@ -196,7 +222,7 @@ piglit_display(void)
 
 	glBindTexture(GL_TEXTURE_2D, tex);
 	for (row = 0; row < ARRAY_SIZE(tests); row++) {
-		const int y = 275 - (35 * row);
+		const int y = piglit_height - 25 - (35 * row);
 		const GLenum compare = tests[row].compare;
 
 		for (col = 0; col < 3; col++) {
@@ -225,13 +251,18 @@ piglit_display(void)
 				const GLfloat *const color =
 					tests[row].probes[(3 * col) + i];
 
+				if (color[0] == dont_care[0])
+					continue;
+
 				if (!piglit_probe_pixel_rgb(x + 5 + (i * 5),
 							    y + 10,
 							    color)) {
 					if (!piglit_automatic) {
-						printf("compare = %s, mode = %s\n",
+						printf("compare = %s, mode = %s, r0 = %g, r1 = %g\n",
 						       compare_names[compare - GL_NEVER],
-						       mode_names[col]);
+						       mode_names[col],
+						       tests[row].r0,
+						       tests[row].r1);
 					}
 
 					pass = GL_FALSE;
@@ -243,7 +274,7 @@ piglit_display(void)
 	glFinish();
 	glutSwapBuffers();
 
-	printf(" Left to Right: ALPHA, LUMINANCE, INTENSITY\n Top to Bottom: LESS, LEQUAL, GREATER, GEQUAL, ALWAYS, NEVER, NOTEQUAL, EQUAL\n");
+	printf(" Left to Right: ALPHA, LUMINANCE, INTENSITY\n Top to Bottom: LESS, LEQUAL, LEQUAL/0.5, GREATER, GEQUAL, GEQUAL/0.5, ALWAYS, NEVER, NOTEQUAL, EQUAL\n");
 
 	return pass ? PIGLIT_SUCCESS : PIGLIT_FAILURE;
 }