On Tue, 8 Oct 2013, Joseph S. Myers wrote:
> I'll send as a followup the testcase I used for verifying that the
> instructions (other than the theoretical conversions to 64-bit
> integers) produce the correct results. In addition, this has been
> tested with the glibc testsuite (with the e500 port as posted at
> <https://sourceware.org/ml/libc-alpha/2013-10/msg00195.html>, where it
> improves the libm test results.
Here is that testcase.
#include <stdio.h>
#include <stdlib.h>
#define INFF __builtin_inff ()
#define INFD __builtin_inf ()
#define NANF __builtin_nanf ("")
#define NAND __builtin_nan ("")
/* e500 rounding modes: 0 = nearest, 1 = zero, 2 = up, 3 = down. */
static inline void
set_rm (unsigned int mode)
{
unsigned int spefscr;
asm volatile ("mfspefscr %0" : "=r" (spefscr));
spefscr = (spefscr & ~3) | mode;
asm volatile ("mtspefscr %0" : : "r" (spefscr));
}
static int success_count, failure_count;
struct float_test_data
{
float input;
unsigned int expected[4];
};
struct double_test_data
{
double input;
unsigned int expected[4];
};
typedef float vfloat __attribute__ ((vector_size (8)));
typedef unsigned int vuint __attribute__ ((vector_size (8)));
union vfloat_union
{
vfloat vf;
float f[2];
};
union vuint_union
{
vuint vui;
unsigned int ui[2];
};
#define T(A, B, C, D, E) { (A), { (B), (C), (D), (E) } }
#define TZ(A, B) T (A, B, B, B, B)
static void
check_result (const char *insn, double input, unsigned int rm,
unsigned int expected, unsigned int res)
{
if (res == expected)
success_count++;
else
{
failure_count++;
printf ("%s %a mode %u expected 0x%x (%d) got 0x%x (%d)\n",
insn, input, rm, expected, (int) expected, res, (int) res);
}
}
#define RUN_FLOAT_TESTS(INSN) \
static void \
test_##INSN (void) \
{ \
size_t i; \
for (i = 0; \
i < sizeof (INSN##_test_data) / sizeof (INSN##_test_data[0]); \
i++) \
{ \
unsigned int rm; \
for (rm = 0; rm <= 3; rm++) \
{ \
set_rm (rm); \
unsigned int res; \
asm volatile (#INSN " %0, %1" \
: "=&r" (res) \
: "r" (INSN##_test_data[i].input)); \
check_result (#INSN, INSN##_test_data[i].input, rm, \
INSN##_test_data[i].expected[rm], res); \
} \
} \
}
#define RUN_VFLOAT_TESTS(INSN, TINSN) \
static void \
test_##INSN (void) \
{ \
size_t i; \
for (i = 0; \
i < sizeof (TINSN##_test_data) / sizeof (TINSN##_test_data[0]); \
i++) \
{ \
unsigned int rm; \
for (rm = 0; rm <= 3; rm++) \
{ \
set_rm (rm); \
union vfloat_union varg; \
union vuint_union vres; \
varg.f[0] = TINSN##_test_data[i].input; \
varg.f[1] = 0; \
asm volatile (#INSN " %0, %1" \
: "=&r" (vres.vui) \
: "r" (varg.vf)); \
check_result (#INSN " (high)", TINSN##_test_data[i].input, \
rm, TINSN##_test_data[i].expected[rm], \
vres.ui[0]); \
check_result (#INSN " (low 0)", TINSN##_test_data[i].input, \
rm, 0, vres.ui[1]); \
varg.f[1] = TINSN##_test_data[i].input; \
varg.f[0] = 0; \
asm volatile (#INSN " %0, %1" \
: "=&r" (vres.vui) \
: "r" (varg.vf)); \
check_result (#INSN " (low)", TINSN##_test_data[i].input, \
rm, TINSN##_test_data[i].expected[rm], \
vres.ui[1]); \
check_result (#INSN " (high 0)", TINSN##_test_data[i].input, \
rm, 0, vres.ui[0]); \
} \
} \
}
static const struct float_test_data efsctsiz_test_data[] =
{
TZ (NANF, 0),
TZ (INFF, 0x7fffffff),
TZ (0x1.fffffep127f, 0x7fffffff),
TZ (0x1p31f, 0x7fffffff),
TZ (0x1.fffffep30f, 0x7fffff80),
TZ (1.6f, 1),
TZ (1.5f, 1),
TZ (1.4f, 1),
TZ (1.0f, 1),
TZ (0.6f, 0),
TZ (0.5f, 0),
TZ (0.4f, 0),
TZ (0x1p-149f, 0),
TZ (0.0f, 0),
TZ (-0.0f, 0),
TZ (-0x1p-149f, 0),
TZ (-0.4f, 0),
TZ (-0.5f, 0),
TZ (-0.6f, 0),
TZ (-1.0f, -1),
TZ (-1.4f, -1),
TZ (-1.5f, -1),
TZ (-1.6f, -1),
TZ (-0x1.fffffep30f, 0x80000080),
TZ (-0x1p31f, 0x80000000),
TZ (-0x1.fffffep127f, 0x80000000),
TZ (-INFF, 0x80000000),
TZ (-NANF, 0),
};
static const struct float_test_data efsctuiz_test_data[] =
{
TZ (NANF, 0),
TZ (INFF, 0xffffffff),
TZ (0x1.fffffep127f, 0xffffffff),
TZ (0x1p32f, 0xffffffff),
TZ (0x1.fffffep31f, 0xffffff00),
TZ (1.6f, 1),
TZ (1.5f, 1),
TZ (1.4f, 1),
TZ (1.0f, 1),
TZ (0.6f, 0),
TZ (0.5f, 0),
TZ (0.4f, 0),
TZ (0x1p-149f, 0),
TZ (0.0f, 0),
TZ (-0.0f, 0),
TZ (-0x1p-149f, 0),
TZ (-0.4f, 0),
TZ (-0.5f, 0),
TZ (-0.6f, 0),
TZ (-1.0f, 0),
TZ (-1.4f, 0),
TZ (-1.5f, 0),
TZ (-1.6f, 0),
TZ (-0x1.fffffep127f, 0),
TZ (-INFF, 0),
TZ (-NANF, 0),
};
static const struct double_test_data efdctsiz_test_data[] =
{
TZ (NAND, 0),
TZ (INFD, 0x7fffffff),
TZ (0x1.fffffffffffffp1023, 0x7fffffff),
TZ (0x1.0000000000001p31, 0x7fffffff),
TZ (0x1p31, 0x7fffffff),
TZ (0x1.fffffffffffffp30, 0x7fffffff),
TZ (0x1.fffffffcp30, 0x7fffffff),
TZ (1.6, 1),
TZ (1.5, 1),
TZ (1.4, 1),
TZ (1.0, 1),
TZ (0.6, 0),
TZ (0.5, 0),
TZ (0.4, 0),
TZ (0x1p-1074, 0),
TZ (0.0, 0),
TZ (-0.0, 0),
TZ (-0x1p-1074, 0),
TZ (-0.4, 0),
TZ (-0.5, 0),
TZ (-0.6, 0),
TZ (-1.0, -1),
TZ (-1.4, -1),
TZ (-1.5, -1),
TZ (-1.6, -1),
TZ (-0x1.fffffffcp30, 0x80000001),
TZ (-0x1.fffffffffffffp30, 0x80000001),
TZ (-0x1p31, 0x80000000),
TZ (-0x1.0000000000001p31, 0x80000000),
TZ (-0x1.fffffffffffffp1023, 0x80000000),
TZ (-INFD, 0x80000000),
TZ (-NAND, 0),
};
static const struct double_test_data efdctuiz_test_data[] =
{
TZ (NAND, 0),
TZ (INFD, 0xffffffff),
TZ (0x1.fffffffffffffp1023, 0xffffffff),
TZ (0x1.0000000000001p32, 0xffffffff),
TZ (0x1p32, 0xffffffff),
TZ (0x1.fffffffffffffp31, 0xffffffff),
TZ (1.6, 1),
TZ (1.5, 1),
TZ (1.4, 1),
TZ (1.0, 1),
TZ (0.6, 0),
TZ (0.5, 0),
TZ (0.4, 0),
TZ (0x1p-1074, 0),
TZ (0.0, 0),
TZ (-0.0, 0),
TZ (-0x1p-1074, 0),
TZ (-0.4, 0),
TZ (-0.5, 0),
TZ (-0.6, 0),
TZ (-1.0, 0),
TZ (-1.4, 0),
TZ (-1.5, 0),
TZ (-1.6, 0),
TZ (-0x1.fffffffffffffp1023, 0),
TZ (-INFD, 0),
TZ (-NAND, 0),
};
static const struct float_test_data efsctsi_test_data[] =
{
TZ (NANF, 0),
TZ (INFF, 0x7fffffff),
TZ (0x1.fffffep127f, 0x7fffffff),
TZ (0x1p31f, 0x7fffffff),
TZ (0x1.fffffep30f, 0x7fffff80),
T (1.6f, 2, 1, 2, 1),
T (1.5f, 2, 1, 2, 1),
T (1.4f, 1, 1, 2, 1),
TZ (1.0f, 1),
T (0.6f, 1, 0, 1, 0),
T (0.5f, 0, 0, 1, 0),
T (0.4f, 0, 0, 1, 0),
T (0x1p-149f, 0, 0, 1, 0),
TZ (0.0f, 0),
TZ (-0.0f, 0),
T (-0x1p-149f, 0, 0, 0, -1),
T (-0.4f, 0, 0, 0, -1),
T (-0.5f, 0, 0, 0, -1),
T (-0.6f, -1, 0, 0, -1),
TZ (-1.0f, -1),
T (-1.4f, -1, -1, -1, -2),
T (-1.5f, -2, -1, -1, -2),
T (-1.6f, -2, -1, -1, -2),
TZ (-0x1.fffffep30f, 0x80000080),
TZ (-0x1p31f, 0x80000000),
TZ (-0x1.fffffep127f, 0x80000000),
TZ (-INFF, 0x80000000),
TZ (-NANF, 0),
};
static const struct float_test_data efsctui_test_data[] =
{
TZ (NANF, 0),
TZ (INFF, 0xffffffff),
TZ (0x1.fffffep127f, 0xffffffff),
TZ (0x1p32f, 0xffffffff),
TZ (0x1.fffffep31f, 0xffffff00),
T (1.6f, 2, 1, 2, 1),
T (1.5f, 2, 1, 2, 1),
T (1.4f, 1, 1, 2, 1),
TZ (1.0f, 1),
T (0.6f, 1, 0, 1, 0),
T (0.5f, 0, 0, 1, 0),
T (0.4f, 0, 0, 1, 0),
T (0x1p-149f, 0, 0, 1, 0),
TZ (0.0f, 0),
TZ (-0.0f, 0),
TZ (-0x1p-149f, 0),
TZ (-0.4f, 0),
TZ (-0.5f, 0),
TZ (-0.6f, 0),
TZ (-1.0f, 0),
TZ (-1.4f, 0),
TZ (-1.5f, 0),
TZ (-1.6f, 0),
TZ (-0x1.fffffep127f, 0),
TZ (-INFF, 0),
TZ (-NANF, 0),
};
static const struct double_test_data efdctsi_test_data[] =
{
TZ (NAND, 0),
TZ (INFD, 0x7fffffff),
TZ (0x1.fffffffffffffp1023, 0x7fffffff),
TZ (0x1.0000000000001p31, 0x7fffffff),
TZ (0x1p31, 0x7fffffff),
TZ (0x1.fffffffffffffp30, 0x7fffffff),
TZ (0x1.fffffffcp30, 0x7fffffff),
T (1.6, 2, 1, 2, 1),
T (1.5, 2, 1, 2, 1),
T (1.4, 1, 1, 2, 1),
TZ (1.0, 1),
T (0.6, 1, 0, 1, 0),
T (0.5, 0, 0, 1, 0),
T (0.4, 0, 0, 1, 0),
T (0x1p-1074, 0, 0, 1, 0),
TZ (0.0, 0),
TZ (-0.0, 0),
T (-0x1p-1074, 0, 0, 0, -1),
T (-0.4, 0, 0, 0, -1),
T (-0.5, 0, 0, 0, -1),
T (-0.6, -1, 0, 0, -1),
TZ (-1.0, -1),
T (-1.4, -1, -1, -1, -2),
T (-1.5, -2, -1, -1, -2),
T (-1.6, -2, -1, -1, -2),
TZ (-0x1.fffffffcp30, 0x80000001),
T (-0x1.fffffffffffffp30, 0x80000000, 0x80000001, 0x80000001, 0x80000000),
TZ (-0x1p31, 0x80000000),
TZ (-0x1.0000000000001p31, 0x80000000),
TZ (-0x1.fffffffffffffp1023, 0x80000000),
TZ (-INFD, 0x80000000),
TZ (-NAND, 0),
};
static const struct double_test_data efdctui_test_data[] =
{
TZ (NAND, 0),
TZ (INFD, 0xffffffff),
TZ (0x1.fffffffffffffp1023, 0xffffffff),
TZ (0x1.0000000000001p32, 0xffffffff),
TZ (0x1p32, 0xffffffff),
TZ (0x1.fffffffffffffp31, 0xffffffff),
T (1.6, 2, 1, 2, 1),
T (1.5, 2, 1, 2, 1),
T (1.4, 1, 1, 2, 1),
TZ (1.0, 1),
T (0.6, 1, 0, 1, 0),
T (0.5, 0, 0, 1, 0),
T (0.4, 0, 0, 1, 0),
T (0x1p-1074, 0, 0, 1, 0),
TZ (0.0, 0),
TZ (-0.0, 0),
TZ (-0x1p-1074, 0),
TZ (-0.4, 0),
TZ (-0.5, 0),
TZ (-0.6, 0),
TZ (-1.0, 0),
TZ (-1.4, 0),
TZ (-1.5, 0),
TZ (-1.6, 0),
TZ (-0x1.fffffffffffffp1023, 0),
TZ (-INFD, 0),
TZ (-NAND, 0),
};
static const struct float_test_data efsctsf_test_data[] =
{
TZ (NANF, 0),
TZ (INFF, 0x7fffffff),
TZ (0x1.fffffep127f, 0x7fffffff),
TZ (0x1.000002p0f, 0x7fffffff),
TZ (1.0f, 0x7fffffff),
TZ (0x1.fffffep-1f, 0x7fffff80),
TZ (0xffffff.0p-31f, 0xffffff),
T (0x7fffff.8p-31f, 0x800000, 0x7fffff, 0x800000, 0x7fffff),
T (0x7ffffe.8p-31f, 0x7ffffe, 0x7ffffe, 0x7fffff, 0x7ffffe),
T (0x1.9p-31f, 2, 1, 2, 1),
T (0x1.8p-31f, 2, 1, 2, 1),
T (0x1.7p-31f, 1, 1, 2, 1),
TZ (0x1p-31f, 1),
T (0x0.9p-31f, 1, 0, 1, 0),
T (0x0.8p-31f, 0, 0, 1, 0),
T (0x0.7p-31f, 0, 0, 1, 0),
T (0x1p-149f, 0, 0, 1, 0),
TZ (0.0f, 0),
TZ (-0.0f, 0),
T (-0x1p-149f, 0, 0, 0, -1),
T (-0x0.7p-31f, 0, 0, 0, -1),
T (-0x0.8p-31f, 0, 0, 0, -1),
T (-0x0.9p-31f, -1, 0, 0, -1),
TZ (-0x1p-31f, -1),
T (-0x1.7p-31f, -1, -1, -1, -2),
T (-0x1.8p-31f, -2, -1, -1, -2),
T (-0x1.9p-31f, -2, -1, -1, -2),
T (-0x7ffffe.8p-31f, -0x7ffffe, -0x7ffffe, -0x7ffffe, -0x7fffff),
T (-0x7fffff.8p-31f, -0x800000, -0x7fffff, -0x7fffff, -0x800000),
TZ (-0xffffff.0p-31f, -0xffffff),
TZ (-0x1.fffffep-1f, -0x7fffff80),
TZ (-1.0f, 0x80000000),
TZ (-0x1.000002p0f, 0x80000000),
TZ (-0x1.fffffep127f, 0x80000000),
TZ (-INFF, 0x80000000),
TZ (-NANF, 0),
};
static const struct float_test_data efsctuf_test_data[] =
{
TZ (NANF, 0),
TZ (INFF, 0xffffffff),
TZ (0x1.fffffep127f, 0xffffffff),
TZ (0x1.000002p0f, 0xffffffff),
TZ (1.0f, 0xffffffff),
TZ (0x1.fffffep-1f, 0xffffff00),
TZ (0xffffff.0p-32f, 0xffffff),
T (0x7fffff.8p-32f, 0x800000, 0x7fffff, 0x800000, 0x7fffff),
T (0x7ffffe.8p-32f, 0x7ffffe, 0x7ffffe, 0x7fffff, 0x7ffffe),
T (0x1.9p-32f, 2, 1, 2, 1),
T (0x1.8p-32f, 2, 1, 2, 1),
T (0x1.7p-32f, 1, 1, 2, 1),
TZ (0x1p-32f, 1),
T (0x0.9p-32f, 1, 0, 1, 0),
T (0x0.8p-32f, 0, 0, 1, 0),
T (0x0.7p-32f, 0, 0, 1, 0),
T (0x1p-149f, 0, 0, 1, 0),
TZ (0.0f, 0),
TZ (-0.0f, 0),
TZ (-0x1p-149f, 0),
TZ (-0x0.7p-32f, 0),
TZ (-0x0.8p-32f, 0),
TZ (-0x0.9p-32f, 0),
TZ (-0x1p-32f, 0),
TZ (-0x1.7p-32f, 0),
TZ (-0x1.8p-32f, 0),
TZ (-0x1.9p-32f, 0),
TZ (-0x7ffffe.8p-32f, 0),
TZ (-0x7fffff.8p-32f, 0),
TZ (-0xffffff.0p-32f, 0),
TZ (-0x1.fffffep-1f, 0),
TZ (-1.0f, 0),
TZ (-0x1.000002p0f, 0),
TZ (-0x1.fffffep127f, 0),
TZ (-INFF, 0),
TZ (-NANF, 0),
};
static const struct double_test_data efdctsf_test_data[] =
{
TZ (NAND, 0),
TZ (INFD, 0x7fffffff),
TZ (0x1.fffffffffffffp1023, 0x7fffffff),
TZ (0x1.0000000000001p0, 0x7fffffff),
TZ (1.0, 0x7fffffff),
TZ (0x7fffffffp-31, 0x7fffffff),
T (0x7fffff.8p-31, 0x800000, 0x7fffff, 0x800000, 0x7fffff),
T (0x7ffffe.8p-31, 0x7ffffe, 0x7ffffe, 0x7fffff, 0x7ffffe),
T (0x1.9p-31, 2, 1, 2, 1),
T (0x1.8p-31, 2, 1, 2, 1),
T (0x1.7p-31, 1, 1, 2, 1),
TZ (0x1p-31, 1),
T (0x0.9p-31, 1, 0, 1, 0),
T (0x0.8p-31, 0, 0, 1, 0),
T (0x0.7p-31, 0, 0, 1, 0),
T (0x1p-1074, 0, 0, 1, 0),
TZ (0.0, 0),
TZ (-0.0, 0),
T (-0x1p-1074, 0, 0, 0, -1),
T (-0x0.7p-31, 0, 0, 0, -1),
T (-0x0.8p-31, 0, 0, 0, -1),
T (-0x0.9p-31, -1, 0, 0, -1),
TZ (-0x1p-31, -1),
T (-0x1.7p-31, -1, -1, -1, -2),
T (-0x1.8p-31, -2, -1, -1, -2),
T (-0x1.9p-31, -2, -1, -1, -2),
T (-0x7ffffe.8p-31, -0x7ffffe, -0x7ffffe, -0x7ffffe, -0x7fffff),
T (-0x7fffff.8p-31, -0x800000, -0x7fffff, -0x7fffff, -0x800000),
TZ (-0x7fffffffp-31, -0x7fffffff),
TZ (-1.0, 0x80000000),
TZ (-0x1.0000000000001p0, 0x80000000),
TZ (-0x1.fffffffffffffp1023, 0x80000000),
TZ (-INFD, 0x80000000),
TZ (-NAND, 0),
};
static const struct double_test_data efdctuf_test_data[] =
{
TZ (NAND, 0),
TZ (INFD, 0xffffffff),
TZ (0x1.fffffffffffffp1023, 0xffffffff),
TZ (0x1.0000000000001p0, 0xffffffff),
TZ (1.0, 0xffffffff),
TZ (0xffffffffp-32, 0xffffffff),
T (0xfffffffe.9p-32, 0xffffffff, 0xfffffffe, 0xffffffff, 0xfffffffe),
T (0xfffffffe.8p-32, 0xfffffffe, 0xfffffffe, 0xffffffff, 0xfffffffe),
T (0xfffffffe.7p-32, 0xfffffffe, 0xfffffffe, 0xffffffff, 0xfffffffe),
T (0xfffffffd.9p-32, 0xfffffffe, 0xfffffffd, 0xfffffffe, 0xfffffffd),
T (0xfffffffd.8p-32, 0xfffffffe, 0xfffffffd, 0xfffffffe, 0xfffffffd),
T (0xfffffffd.7p-32, 0xfffffffd, 0xfffffffd, 0xfffffffe, 0xfffffffd),
T (0x7fffff.8p-32, 0x800000, 0x7fffff, 0x800000, 0x7fffff),
T (0x7ffffe.8p-32, 0x7ffffe, 0x7ffffe, 0x7fffff, 0x7ffffe),
T (0x1.9p-32, 2, 1, 2, 1),
T (0x1.8p-32, 2, 1, 2, 1),
T (0x1.7p-32, 1, 1, 2, 1),
TZ (0x1p-32, 1),
T (0x0.9p-32, 1, 0, 1, 0),
T (0x0.8p-32, 0, 0, 1, 0),
T (0x0.7p-32, 0, 0, 1, 0),
T (0x1p-1074, 0, 0, 1, 0),
TZ (0.0, 0),
TZ (-0.0, 0),
TZ (-0x1p-1074, 0),
TZ (-0x0.7p-32, 0),
TZ (-0x0.8p-32, 0),
TZ (-0x0.9p-32, 0),
TZ (-0x1p-32, 0),
TZ (-0x1.7p-32, 0),
TZ (-0x1.8p-32, 0),
TZ (-0x1.9p-32, 0),
TZ (-0x7ffffe.8p-32, 0),
TZ (-0x7fffff.8p-32, 0),
TZ (-0xfffffffd.7p-32, 0),
TZ (-0xfffffffd.8p-32, 0),
TZ (-0xfffffffd.9p-32, 0),
TZ (-0xfffffffe.7p-32, 0),
TZ (-0xfffffffe.8p-32, 0),
TZ (-0xfffffffe.9p-32, 0),
TZ (-0xffffffffp-32, 0),
TZ (-1.0, 0),
TZ (-0x1.0000000000001p0, 0),
TZ (-0x1.fffffffffffffp1023, 0),
TZ (-INFD, 0),
TZ (-NAND, 0),
};
RUN_FLOAT_TESTS (efsctsiz)
RUN_VFLOAT_TESTS (evfsctsiz, efsctsiz)
RUN_FLOAT_TESTS (efsctuiz)
RUN_VFLOAT_TESTS (evfsctuiz, efsctuiz)
RUN_FLOAT_TESTS (efdctsiz)
RUN_FLOAT_TESTS (efdctuiz)
RUN_FLOAT_TESTS (efsctsi)
RUN_VFLOAT_TESTS (evfsctsi, efsctsi)
RUN_FLOAT_TESTS (efsctui)
RUN_VFLOAT_TESTS (evfsctui, efsctui)
RUN_FLOAT_TESTS (efdctsi)
RUN_FLOAT_TESTS (efdctui)
RUN_FLOAT_TESTS (efsctsf)
RUN_VFLOAT_TESTS (evfsctsf, efsctsf)
RUN_FLOAT_TESTS (efsctuf)
RUN_VFLOAT_TESTS (evfsctuf, efsctuf)
RUN_FLOAT_TESTS (efdctsf)
RUN_FLOAT_TESTS (efdctuf)
int
main (void)
{
test_efsctsiz ();
test_evfsctsiz ();
test_efsctuiz ();
test_evfsctuiz ();
test_efdctsiz ();
test_efdctuiz ();
test_efsctsi ();
test_evfsctsi ();
test_efsctui ();
test_evfsctui ();
test_efdctsi ();
test_efdctui ();
test_efsctsf ();
test_evfsctsf ();
test_efsctuf ();
test_evfsctuf ();
test_efdctsf ();
test_efdctuf ();
printf ("%d tests passed, %d tests failed\n", success_count, failure_count);
exit (failure_count != 0 ? EXIT_FAILURE : EXIT_SUCCESS);
}
--
Joseph S. Myers
jos...@codesourcery.com
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