diff --git a/libavutil/float_dsp.c b/libavutil/float_dsp.c
index 49e0ae7..e9c1348 100644
--- a/libavutil/float_dsp.c
+++ b/libavutil/float_dsp.c
@@ -185,7 +185,8 @@ static int compare_floats(const float *a, const float *b, int len,
 {
     int i;
     for (i = 0; i < len; i++) {
-        if (fabsf(a[i] - b[i]) > max_diff) {
+        float max = fmaxf(fabsf(a[i]), fabsf(b[i]));
+        if (fabsf(a[i] - b[i]) > max_diff * fmaxf(1.0f, max)) {
             av_log(NULL, AV_LOG_ERROR, "%d: %- .12f - %- .12f = % .12g\n",
                    i, a[i], b[i], a[i] - b[i]);
             return -1;
@@ -212,7 +213,8 @@ static int compare_doubles(const double *a, const double *b, int len,
     int i;

     for (i = 0; i < len; i++) {
-        if (fabs(a[i] - b[i]) > max_diff) {
+        double max = fmax(fabs(a[i]), fabs(b[i]));
+        if (fabs(a[i] - b[i]) > max_diff * fmax(1.0f, max)) {
             av_log(NULL, AV_LOG_ERROR, "%d: %- .12f - %- .12f = % .12g\n",
                    i, a[i], b[i], a[i] - b[i]);
             return -1;