Test scalbn and scalbln in all rounding modes, add more tests of negative arguments.

Continuing the move to systematically testing libm functions in all
rounding modes with ALL_RM_TEST, this patch converts the tests of
scalbn and scalbln to use that macro.

Those tests include cases of underflow and overflow, meaning the
expected results depend on the rounding mode.  For convenience in
writing such tests manually, the patch adds the notation plus_oflow,
minus_oflow, plus_uflow and minus_uflow for overflowing / underflowing
results of each sign appropriate to the rounding mode being used, and
gen-libm-test.pl is made to substitute in the appropriate values.  The
tests of underflow and overflow are extended to include negative
arguments to provide better coverage (otherwise minus_oflow and
minus_uflow wouldn't have been used at all).

(A subsequent patch will make ldexp use the scalbn tests, as those
functions are equivalent for binary floating point.)

Tested x86_64 and x86.

	* math/gen-libm-test.pl (parse_args): Handle plus_oflow,
	minus_oflow, plus_uflow and minus_uflow in expected results.
	* math/libm-test.inc (scalbn_test_data): Add more tests of
	negative arguments.  Use plus_oflow, minus_oflow, plus_uflow and
	minus_uflow.
	(scalbn_test): Use ALL_RM_TEST.
	(scalbln_test_data): Add more tests of negative arguments.  Use
	plus_oflow, minus_oflow, plus_uflow and minus_uflow.
	(scalbln_test): Use ALL_RM_TEST.

2 files changed, 86 insertions, 47 deletions

diff --git a/math/gen-libm-test.pl b/math/gen-libm-test.pl
index 36cc7eb..92cb4ba 100755
--- a/math/gen-libm-test.pl
+++ b/math/gen-libm-test.pl
@@ -158,7 +158,8 @@ sub parse_args {
   my (@special);
   my ($call_args);
   my ($ignore_result_any, $ignore_result_all);
-  my ($num_res, @args_res, $start_rm, $this_start_rm);
+  my ($num_res, @args_res, @start_rm, $rm);
+  my (@plus_oflow, @minus_oflow, @plus_uflow, @minus_uflow);
 
   ($descr_args, $descr_res) = split /_/,$descr, 2;
 
@@ -215,15 +216,15 @@ sub parse_args {
   # consistency check
   if ($#args_res == $num_res - 1) {
     # One set of results for all rounding modes, no flags.
-    $start_rm = [ 0, 0, 0, 0 ];
+    @start_rm = ( 0, 0, 0, 0 );
   } elsif ($#args_res == $num_res) {
     # One set of results for all rounding modes, with flags.
     die ("wrong number of arguments")
       unless ($args_res[$#args_res] =~ /EXCEPTION|ERRNO|IGNORE_ZERO_INF_SIGN|TEST_NAN_SIGN|NO_TEST_INLINE|XFAIL_TEST/);
-    $start_rm = [ 0, 0, 0, 0 ];
+    @start_rm = ( 0, 0, 0, 0 );
   } elsif ($#args_res == 4 * $num_res + 3) {
     # One set of results per rounding mode, with flags.
-    $start_rm = [ 0, $num_res + 1, 2 * $num_res + 2, 3 * $num_res + 3 ];
+    @start_rm = ( 0, $num_res + 1, 2 * $num_res + 2, 3 * $num_res + 3 );
   } else {
     die ("wrong number of arguments");
   }
@@ -253,8 +254,12 @@ sub parse_args {
   }
 
   @descr = split //,$descr_res;
-  foreach $this_start_rm (@$start_rm) {
-    $current_arg = $this_start_rm;
+  @plus_oflow = qw(max_value plus_infty max_value plus_infty);
+  @minus_oflow = qw(minus_infty minus_infty -max_value -max_value);
+  @plus_uflow = qw(plus_zero plus_zero plus_zero min_subnorm_value);
+  @minus_uflow = qw(-min_subnorm_value minus_zero minus_zero minus_zero);
+  for ($rm = 0; $rm <= 3; $rm++) {
+    $current_arg = $start_rm[$rm];
     $ignore_result_any = 0;
     $ignore_result_all = 1;
     $cline_res = "";
@@ -313,6 +318,10 @@ sub parse_args {
       $cline_res .= ", $run_extra, $extra_expected";
     }
     $cline_res =~ s/^, //;
+    $cline_res =~ s/plus_oflow/$plus_oflow[$rm]/g;
+    $cline_res =~ s/minus_oflow/$minus_oflow[$rm]/g;
+    $cline_res =~ s/plus_uflow/$plus_uflow[$rm]/g;
+    $cline_res =~ s/minus_uflow/$minus_uflow[$rm]/g;
     $cline .= ", { $cline_res }";
   }
   print $file "    $cline },\n";
diff --git a/math/libm-test.inc b/math/libm-test.inc
index 58b4df2..5ad0255 100644
--- a/math/libm-test.inc
+++ b/math/libm-test.inc
@@ -9805,23 +9805,29 @@ static const struct test_fi_f_data scalbn_test_data[] =
 
     TEST_fi_f (scalbn, 1, 0L, 1, NO_INEXACT_EXCEPTION),
 
-    TEST_fi_f (scalbn, 1, INT_MAX, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fi_f (scalbn, 1, INT_MIN, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-    TEST_fi_f (scalbn, max_value, INT_MAX, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fi_f (scalbn, max_value, INT_MIN, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-    TEST_fi_f (scalbn, min_value, INT_MAX, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fi_f (scalbn, min_value, INT_MIN, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-    TEST_fi_f (scalbn, min_value / 4, INT_MAX, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fi_f (scalbn, min_value / 4, INT_MIN, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, 1, INT_MAX, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, 1, INT_MIN, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, max_value, INT_MAX, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, max_value, INT_MIN, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, min_value, INT_MAX, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, min_value, INT_MIN, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, min_value / 4, INT_MAX, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, min_value / 4, INT_MIN, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+
+    TEST_fi_f (scalbn, -1, INT_MAX, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, -1, INT_MIN, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, -max_value, INT_MAX, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, -max_value, INT_MIN, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, -min_value, INT_MAX, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, -min_value, INT_MIN, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, -min_value / 4, INT_MAX, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fi_f (scalbn, -min_value / 4, INT_MIN, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
   };
 
 static void
 scalbn_test (void)
 {
-
-  START (scalbn, 1);
-  RUN_TEST_LOOP_fi_f (scalbn, scalbn_test_data, );
-  END;
+  ALL_RM_TEST (scalbn, 1, scalbn_test_data, RUN_TEST_LOOP_fi_f, END);
 }
 
 
@@ -9839,43 +9845,67 @@ static const struct test_fl_f_data scalbln_test_data[] =
 
     TEST_fl_f (scalbln, 1, 0L, 1, NO_INEXACT_EXCEPTION),
 
-    TEST_fl_f (scalbln, 1, INT_MAX, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, 1, INT_MIN, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, max_value, INT_MAX, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, max_value, INT_MIN, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, min_value, INT_MAX, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, min_value, INT_MIN, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, min_value / 4, INT_MAX, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, min_value / 4, INT_MIN, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-
-    TEST_fl_f (scalbln, 1, LONG_MAX, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, 1, LONG_MIN, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, max_value, LONG_MAX, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, max_value, LONG_MIN, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, min_value, LONG_MAX, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, min_value, LONG_MIN, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, min_value / 4, LONG_MAX, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, min_value / 4, LONG_MIN, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, 1, INT_MAX, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, 1, INT_MIN, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, max_value, INT_MAX, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, max_value, INT_MIN, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, min_value, INT_MAX, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, min_value, INT_MIN, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, min_value / 4, INT_MAX, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, min_value / 4, INT_MIN, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+
+    TEST_fl_f (scalbln, -1, INT_MAX, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -1, INT_MIN, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -max_value, INT_MAX, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -max_value, INT_MIN, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -min_value, INT_MAX, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -min_value, INT_MIN, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -min_value / 4, INT_MAX, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -min_value / 4, INT_MIN, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+
+    TEST_fl_f (scalbln, 1, LONG_MAX, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, 1, LONG_MIN, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, max_value, LONG_MAX, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, max_value, LONG_MIN, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, min_value, LONG_MAX, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, min_value, LONG_MIN, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, min_value / 4, LONG_MAX, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, min_value / 4, LONG_MIN, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+
+    TEST_fl_f (scalbln, -1, LONG_MAX, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -1, LONG_MIN, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -max_value, LONG_MAX, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -max_value, LONG_MIN, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -min_value, LONG_MAX, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -min_value, LONG_MIN, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -min_value / 4, LONG_MAX, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -min_value / 4, LONG_MIN, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
 
 #if LONG_MAX >= 0x100000000
-    TEST_fl_f (scalbln, 1, 0x88000000L, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, 1, -0x88000000L, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, max_value, 0x88000000L, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, max_value, -0x88000000L, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, min_value, 0x88000000L, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, min_value, -0x88000000L, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, min_value / 4, 0x88000000L, plus_infty, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
-    TEST_fl_f (scalbln, min_value / 4, -0x88000000L, plus_zero, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, 1, 0x88000000L, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, 1, -0x88000000L, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, max_value, 0x88000000L, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, max_value, -0x88000000L, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, min_value, 0x88000000L, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, min_value, -0x88000000L, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, min_value / 4, 0x88000000L, plus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, min_value / 4, -0x88000000L, plus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+
+    TEST_fl_f (scalbln, -1, 0x88000000L, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -1, -0x88000000L, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -max_value, 0x88000000L, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -max_value, -0x88000000L, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -min_value, 0x88000000L, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -min_value, -0x88000000L, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -min_value / 4, 0x88000000L, minus_oflow, INEXACT_EXCEPTION|OVERFLOW_EXCEPTION),
+    TEST_fl_f (scalbln, -min_value / 4, -0x88000000L, minus_uflow, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION),
 #endif
   };
 
 static void
 scalbln_test (void)
 {
-
-  START (scalbln, 1);
-  RUN_TEST_LOOP_fl_f (scalbln, scalbln_test_data, );
-  END;
+  ALL_RM_TEST (scalbln, 1, scalbln_test_data, RUN_TEST_LOOP_fl_f, END);
 }