diff --git a/libavcodec/tiff.c b/libavcodec/tiff.c
index 3a610ada85..ce31a40e37 100644
--- a/libavcodec/tiff.c
+++ b/libavcodec/tiff.c
@@ -2249,6 +2249,74 @@ again:
             }
         }

+        /* Floating point predictor
+           TIFF Technical Note 3 http://chriscox.org/TIFFTN3d1.pdf */
+        if (s->predictor == 3) {
+            int channels = s->bppcount;
+            int group_size;
+            uint8_t *tmpbuf;
+            int bpc;
+
+            dst   = five_planes ? five_planes : p->data[plane];
+            soff  = s->bpp >> 3;
+            if (s->planar) {
+                soff  = FFMAX(soff / s->bppcount, 1);
+                channels = 1;
+            }
+            ssize = s->width * soff;
+            bpc = FFMAX(soff / s->bppcount, 1); /* Bytes per component */
+            group_size = s->width * channels;
+
+            tmpbuf = av_malloc(ssize);
+            if (!tmpbuf)
+                return AVERROR(ENOMEM);
+
+            if (s->avctx->pix_fmt == AV_PIX_FMT_RGBF32LE ||
+                s->avctx->pix_fmt == AV_PIX_FMT_RGBAF32LE) {
+                for (i = 0; i < decoded_height; i++) {
+                    /* Copy first sample byte for each channel */
+                    for (j = 0; j < channels; j++)
+                        tmpbuf[j] = dst[j];
+
+                    /* Decode horizontal differences */
+                    for (j = channels; j < ssize; j++)
+                        tmpbuf[j] = dst[j] + tmpbuf[j-channels];
+
+                    /* Combine shuffled bytes from their separate groups. Each
+                       byte of every floating point value in a row of pixels is
+                       split and combined into separate groups. A group of all
+                       the sign/exponents bytes in the row and groups for each
+                       of the upper, mid, and lower mantissa bytes in the row. */
+                    for (j = 0; j < group_size; j++) {
+                        for (int k = 0; k < bpc; k++) {
+                            dst[bpc * j + k] = tmpbuf[(bpc - k - 1) * group_size + j];
+                        }
+                    }
+                    dst += stride;
+                }
+            } else if (s->avctx->pix_fmt == AV_PIX_FMT_RGBF32BE ||
+                       s->avctx->pix_fmt == AV_PIX_FMT_RGBAF32BE) {
+                /* Same as LE only the shuffle at the end is reversed */
+                for (i = 0; i < decoded_height; i++) {
+                    for (j = 0; j < channels; j++)
+                        tmpbuf[j] = dst[j];
+
+                    for (j = channels; j < ssize; j++)
+                        tmpbuf[j] = dst[j] + tmpbuf[j-channels];
+
+                    for (j = 0; j < group_size; j++) {
+                        for (int k = 0; k < bpc; k++) {
+                            dst[bpc * j + k] = tmpbuf[k * group_size + j];
+                        }
+                    }
+                    dst += stride;
+                }
+            } else {
+                av_log(s->avctx, AV_LOG_ERROR, "unsupported floating point pixel format\n");
+            }
+            av_free(tmpbuf);
+        }
+
         if (s->photometric == TIFF_PHOTOMETRIC_WHITE_IS_ZERO) {
             int c = (s->avctx->pix_fmt == AV_PIX_FMT_PAL8 ? (1<<s->bpp) - 1 : 255);
             dst = p->data[plane];
diff --git a/tests/fate/image.mak b/tests/fate/image.mak
index 03e794dc48..167c8ccf2c 100644
--- a/tests/fate/image.mak
+++ b/tests/fate/image.mak
@@ -501,7 +501,25 @@ fate-tiff-fax-g3: CMD = framecrc -i $(TARGET_SAMPLES)/CCITT_fax/G31D.TIF
 FATE_TIFF += fate-tiff-fax-g3s
 fate-tiff-fax-g3s: CMD = framecrc -i $(TARGET_SAMPLES)/CCITT_fax/G31DS.TIF

-FATE_TIFF-$(call DEMDEC, IMAGE2, TIFF) += $(FATE_TIFF)
+FATE_TIFF += fate-tiff-uncompressed-rgbf32le
+fate-tiff-uncompressed-rgbf32le: CMD = framecrc -i $(TARGET_SAMPLES)/tiff/uncompressed_rgbf32le.tif
+
+FATE_TIFF += fate-tiff-uncompressed-rgbaf32le
+fate-tiff-uncompressed-rgbaf32le: CMD = framecrc -i $(TARGET_SAMPLES)/tiff/uncompressed_rgbaf32le.tif
+
+FATE_TIFF += fate-tiff-lzw-rgbf32le
+fate-tiff-lzw-rgbf32le: CMD = framecrc -i $(TARGET_SAMPLES)/tiff/lzw_rgbf32le.tif
+
+FATE_TIFF += fate-tiff-lzw-rgbaf32le
+fate-tiff-lzw-rgbaf32le: CMD = framecrc -i $(TARGET_SAMPLES)/tiff/lzw_rgbaf32le.tif
+
+FATE_TIFF += fate-tiff-zip-rgbf32le
+fate-tiff-zip-rgbf32le: CMD = framecrc -i $(TARGET_SAMPLES)/tiff/zip_rgbf32le.tif
+
+FATE_TIFF += fate-tiff-zip-rgbaf32le
+fate-tiff-zip-rgbaf32le: CMD = framecrc -i $(TARGET_SAMPLES)/tiff/zip_rgbaf32le.tif
+
+FATE_TIFF-$(call FRAMECRC, IMAGE2, TIFF) += $(FATE_TIFF)

 FATE_IMAGE_FRAMECRC += $(FATE_TIFF-yes)
 fate-tiff: $(FATE_TIFF-yes)
diff --git a/tests/ref/fate/tiff-lzw-rgbaf32le b/tests/ref/fate/tiff-lzw-rgbaf32le
new file mode 100644
index 0000000000..c99aa02ef0
--- /dev/null
+++ b/tests/ref/fate/tiff-lzw-rgbaf32le
@@ -0,0 +1,6 @@
+#tb 0: 1/25
+#media_type 0: video
+#codec_id 0: rawvideo
+#dimensions 0: 8x8
+#sar 0: 0/1
+0,          0,          0,        1,     1024, 0x877e1d5f
diff --git a/tests/ref/fate/tiff-lzw-rgbf32le b/tests/ref/fate/tiff-lzw-rgbf32le
new file mode 100644
index 0000000000..a6d3fabfda
--- /dev/null
+++ b/tests/ref/fate/tiff-lzw-rgbf32le
@@ -0,0 +1,6 @@
+#tb 0: 1/25
+#media_type 0: video
+#codec_id 0: rawvideo
+#dimensions 0: 8x8
+#sar 0: 0/1
+0,          0,          0,        1,      768, 0xad26ed90
diff --git a/tests/ref/fate/tiff-uncompressed-rgbaf32le b/tests/ref/fate/tiff-uncompressed-rgbaf32le
new file mode 100644
index 0000000000..c99aa02ef0
--- /dev/null
+++ b/tests/ref/fate/tiff-uncompressed-rgbaf32le
@@ -0,0 +1,6 @@
+#tb 0: 1/25
+#media_type 0: video
+#codec_id 0: rawvideo
+#dimensions 0: 8x8
+#sar 0: 0/1
+0,          0,          0,        1,     1024, 0x877e1d5f
diff --git a/tests/ref/fate/tiff-uncompressed-rgbf32le b/tests/ref/fate/tiff-uncompressed-rgbf32le
new file mode 100644
index 0000000000..a6d3fabfda
--- /dev/null
+++ b/tests/ref/fate/tiff-uncompressed-rgbf32le
@@ -0,0 +1,6 @@
+#tb 0: 1/25
+#media_type 0: video
+#codec_id 0: rawvideo
+#dimensions 0: 8x8
+#sar 0: 0/1
+0,          0,          0,        1,      768, 0xad26ed90
diff --git a/tests/ref/fate/tiff-zip-rgbaf32le b/tests/ref/fate/tiff-zip-rgbaf32le
new file mode 100644
index 0000000000..c99aa02ef0
--- /dev/null
+++ b/tests/ref/fate/tiff-zip-rgbaf32le
@@ -0,0 +1,6 @@
+#tb 0: 1/25
+#media_type 0: video
+#codec_id 0: rawvideo
+#dimensions 0: 8x8
+#sar 0: 0/1
+0,          0,          0,        1,     1024, 0x877e1d5f
diff --git a/tests/ref/fate/tiff-zip-rgbf32le b/tests/ref/fate/tiff-zip-rgbf32le
new file mode 100644
index 0000000000..a6d3fabfda
--- /dev/null
+++ b/tests/ref/fate/tiff-zip-rgbf32le
@@ -0,0 +1,6 @@
+#tb 0: 1/25
+#media_type 0: video
+#codec_id 0: rawvideo
+#dimensions 0: 8x8
+#sar 0: 0/1
+0,          0,          0,        1,      768, 0xad26ed90
