diff --git a/sysdeps/ieee754/ldbl-96/Makefile b/sysdeps/ieee754/ldbl-96/Makefile
index 995e90d6da..318628aed6 100644
--- a/sysdeps/ieee754/ldbl-96/Makefile
+++ b/sysdeps/ieee754/ldbl-96/Makefile
@@ -17,5 +17,6 @@
 # <https://www.gnu.org/licenses/>.
 
 ifeq ($(subdir),math)
-tests += test-canonical-ldbl-96 test-totalorderl-ldbl-96
+tests += test-canonical-ldbl-96 test-totalorderl-ldbl-96 test-sinl-pseudo
+CFLAGS-test-sinl-pseudo.c += -fstack-protector-all
 endif
diff --git a/sysdeps/ieee754/ldbl-96/e_rem_pio2l.c b/sysdeps/ieee754/ldbl-96/e_rem_pio2l.c
index 5f742321ae..bcdf20179f 100644
--- a/sysdeps/ieee754/ldbl-96/e_rem_pio2l.c
+++ b/sysdeps/ieee754/ldbl-96/e_rem_pio2l.c
@@ -210,6 +210,18 @@ __ieee754_rem_pio2l (long double x, long double *y)
       return 0;
     }
 
+  if ((i0 & 0x80000000) == 0)
+    {
+      /* Pseudo-zero and unnormal representations are not valid
+	 representations of long double.  We need to avoid stack
+	 corruption in __kernel_rem_pio2, which expects input in a
+	 particular normal form, but those representations do not need
+	 to be consistently handled like any particular floating-point
+	 value.  */
+      y[1] = y[0] = __builtin_nanl ("");
+      return 0;
+    }
+
   /* Split the 64 bits of the mantissa into three 24-bit integers
      stored in a double array.  */
   exp = j0 - 23;
diff --git a/sysdeps/ieee754/ldbl-96/test-sinl-pseudo.c b/sysdeps/ieee754/ldbl-96/test-sinl-pseudo.c
new file mode 100644
index 0000000000..f59b97769d
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/test-sinl-pseudo.c
@@ -0,0 +1,41 @@
+/* Test sinl for pseudo-zeros and unnormals for ldbl-96 (bug 25487).
+   Copyright (C) 2020 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <math.h>
+#include <math_ldbl.h>
+#include <stdint.h>
+
+static int
+do_test (void)
+{
+  for (int i = 0; i < 64; i++)
+    {
+      uint64_t sig = i == 63 ? 0 : 1ULL << i;
+      long double ld;
+      SET_LDOUBLE_WORDS (ld, 0x4141,
+			 sig >> 32, sig & 0xffffffffULL);
+      /* The requirement is that no stack overflow occurs when the
+	 pseudo-zero or unnormal goes through range reduction.  */
+      volatile long double ldr;
+      ldr = sinl (ld);
+      (void) ldr;
+    }
+  return 0;
+}
+
+#include <support/test-driver.c>