Add some tests for double-rounding bugs in fma().
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@ -364,13 +364,63 @@ test_accuracy(void)
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#endif
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#endif
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}
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}
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static void
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test_double_rounding(void)
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{
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/*
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* a = 0x1.8000000000001p0
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* b = 0x1.8000000000001p0
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* c = -0x0.0000000000000000000000000080...1p+1
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* a * b = 0x1.2000000000001800000000000080p+1
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*
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* The correct behavior is to round DOWN to 0x1.2000000000001p+1 in
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* round-to-nearest mode. An implementation that computes a*b+c in
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* double+double precision, however, will get 0x1.20000000000018p+1,
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* and then round UP.
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*/
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fesetround(FE_TONEAREST);
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test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0,
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-0x1.0000000000001p-104, 0x1.2000000000001p+1,
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ALL_STD_EXCEPT, FE_INEXACT);
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fesetround(FE_DOWNWARD);
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test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0,
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-0x1.0000000000001p-104, 0x1.2000000000001p+1,
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ALL_STD_EXCEPT, FE_INEXACT);
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fesetround(FE_UPWARD);
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test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0,
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-0x1.0000000000001p-104, 0x1.2000000000002p+1,
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ALL_STD_EXCEPT, FE_INEXACT);
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fesetround(FE_TONEAREST);
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test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200002p+1,
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ALL_STD_EXCEPT, FE_INEXACT);
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fesetround(FE_DOWNWARD);
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test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200002p+1,
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ALL_STD_EXCEPT, FE_INEXACT);
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fesetround(FE_UPWARD);
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test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200004p+1,
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ALL_STD_EXCEPT, FE_INEXACT);
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fesetround(FE_TONEAREST);
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#if LDBL_MANT_DIG == 64
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test(fmal, 0x1.4p+0L, 0x1.0000000000000004p+0L, 0x1p-128L,
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0x1.4000000000000006p+0L, ALL_STD_EXCEPT, FE_INEXACT);
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#elif LDBL_MANT_DIG == 113
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/* XXX untested test */
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test(fmal, 0x1.4p+0L, 0x1.0000000000000000000000000002p+0L, 0x1p-224L,
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0x1.4000000000000000000000000003p+0L, ALL_STD_EXCEPT, FE_INEXACT);
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#endif
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}
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int
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int
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main(int argc, char *argv[])
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main(int argc, char *argv[])
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{
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{
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int rmodes[] = { FE_TONEAREST, FE_UPWARD, FE_DOWNWARD, FE_TOWARDZERO };
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int rmodes[] = { FE_TONEAREST, FE_UPWARD, FE_DOWNWARD, FE_TOWARDZERO };
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int i;
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int i;
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printf("1..18\n");
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printf("1..19\n");
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for (i = 0; i < 4; i++) {
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for (i = 0; i < 4; i++) {
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fesetround(rmodes[i]);
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fesetround(rmodes[i]);
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@ -404,6 +454,9 @@ main(int argc, char *argv[])
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test_accuracy();
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test_accuracy();
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printf("ok 18 - fma accuracy\n");
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printf("ok 18 - fma accuracy\n");
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test_double_rounding();
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printf("ok 19 - fma double rounding\n");
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/*
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/*
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* TODO:
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* TODO:
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* - Tests for subnormals
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* - Tests for subnormals
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