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range-op: Implement floating point multiplication fold_range [PR107569]
The following patch implements frange multiplication, including the special case of x * x. The callers don't tell us that it is x * x, just that it is either z = x * x or if (x == y) z = x * y; For irange that makes no difference, but for frange it can mean x is -0.0 and y is 0.0 if they have the same range that includes both signed and unsigned zeros, so we need to assume result could be -0.0. The patch causes one regression: +FAIL: gcc.dg/fold-overflow-1.c scan-assembler-times 2139095040 2 but that is already tracked in PR107608 and affects not just the newly added multiplication, but addition and other floating point operations (and doesn't seem like a ranger bug but dce or whatever else). 2022-11-12 Jakub Jelinek <jakub@redhat.com> PR tree-optimization/107569 PR tree-optimization/107591 * range-op.h (range_operator_float::rv_fold): Add relation_kind argument. * range-op-float.cc (range_operator_float::fold_range): Name last argument trio and pass trio.op1_op2 () as last argument to rv_fold. (range_operator_float::rv_fold): Add relation_kind argument. (foperator_plus::rv_fold, foperator_minus::rv_fold): Likewise. (foperator_mult): New class. (floating_op_table::floating_op_table): Use foperator_mult for MULT_EXPR.
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@ -51,7 +51,7 @@ along with GCC; see the file COPYING3. If not see
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bool
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range_operator_float::fold_range (frange &r, tree type,
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const frange &op1, const frange &op2,
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relation_trio) const
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relation_trio trio) const
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{
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if (empty_range_varying (r, type, op1, op2))
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return true;
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@ -65,7 +65,7 @@ range_operator_float::fold_range (frange &r, tree type,
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bool maybe_nan;
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rv_fold (lb, ub, maybe_nan, type,
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op1.lower_bound (), op1.upper_bound (),
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op2.lower_bound (), op2.upper_bound ());
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op2.lower_bound (), op2.upper_bound (), trio.op1_op2 ());
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// Handle possible NANs by saturating to the appropriate INF if only
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// one end is a NAN. If both ends are a NAN, just return a NAN.
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@ -103,8 +103,8 @@ range_operator_float::rv_fold (REAL_VALUE_TYPE &lb,
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const REAL_VALUE_TYPE &lh_lb ATTRIBUTE_UNUSED,
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const REAL_VALUE_TYPE &lh_ub ATTRIBUTE_UNUSED,
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const REAL_VALUE_TYPE &rh_lb ATTRIBUTE_UNUSED,
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const REAL_VALUE_TYPE &rh_ub ATTRIBUTE_UNUSED)
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const
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const REAL_VALUE_TYPE &rh_ub ATTRIBUTE_UNUSED,
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relation_kind) const
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{
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lb = dconstninf;
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ub = dconstinf;
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@ -1868,7 +1868,8 @@ class foperator_plus : public range_operator_float
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const REAL_VALUE_TYPE &lh_lb,
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const REAL_VALUE_TYPE &lh_ub,
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const REAL_VALUE_TYPE &rh_lb,
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const REAL_VALUE_TYPE &rh_ub) const final override
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const REAL_VALUE_TYPE &rh_ub,
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relation_kind) const final override
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{
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frange_arithmetic (PLUS_EXPR, type, lb, lh_lb, rh_lb, dconstninf);
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frange_arithmetic (PLUS_EXPR, type, ub, lh_ub, rh_ub, dconstinf);
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@ -1892,7 +1893,8 @@ class foperator_minus : public range_operator_float
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const REAL_VALUE_TYPE &lh_lb,
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const REAL_VALUE_TYPE &lh_ub,
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const REAL_VALUE_TYPE &rh_lb,
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const REAL_VALUE_TYPE &rh_ub) const final override
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const REAL_VALUE_TYPE &rh_ub,
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relation_kind) const final override
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{
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frange_arithmetic (MINUS_EXPR, type, lb, lh_lb, rh_ub, dconstninf);
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frange_arithmetic (MINUS_EXPR, type, ub, lh_ub, rh_lb, dconstinf);
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@ -1908,6 +1910,182 @@ class foperator_minus : public range_operator_float
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}
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} fop_minus;
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class foperator_mult : public range_operator_float
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{
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void rv_fold (REAL_VALUE_TYPE &lb, REAL_VALUE_TYPE &ub, bool &maybe_nan,
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tree type,
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const REAL_VALUE_TYPE &lh_lb,
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const REAL_VALUE_TYPE &lh_ub,
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const REAL_VALUE_TYPE &rh_lb,
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const REAL_VALUE_TYPE &rh_ub,
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relation_kind kind) const final override
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{
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bool is_square
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= (kind == VREL_EQ
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&& real_equal (&lh_lb, &rh_lb)
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&& real_equal (&lh_ub, &rh_ub)
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&& real_isneg (&lh_lb) == real_isneg (&rh_lb)
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&& real_isneg (&lh_ub) == real_isneg (&rh_ub));
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maybe_nan = false;
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// x * x never produces a new NAN and we only multiply the same
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// values, so the 0 * INF problematic cases never appear there.
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if (!is_square)
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{
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// [+-0, +-0] * [+INF,+INF] (or [-INF,-INF] or swapped is a known NAN.
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if ((real_iszero (&lh_lb)
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&& real_iszero (&lh_ub)
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&& real_isinf (&rh_lb)
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&& real_isinf (&rh_ub, real_isneg (&rh_lb)))
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|| (real_iszero (&rh_lb)
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&& real_iszero (&rh_ub)
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&& real_isinf (&lh_lb)
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&& real_isinf (&lh_ub, real_isneg (&lh_lb))))
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{
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real_nan (&lb, "", 0, TYPE_MODE (type));
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ub = lb;
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maybe_nan = true;
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return;
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}
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// Otherwise, if one range includes zero and the other ends with +-INF,
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// it is a maybe NAN.
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if ((real_compare (LE_EXPR, &lh_lb, &dconst0)
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&& real_compare (GE_EXPR, &lh_ub, &dconst0)
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&& (real_isinf (&rh_lb) || real_isinf (&rh_ub)))
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|| (real_compare (LE_EXPR, &rh_lb, &dconst0)
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&& real_compare (GE_EXPR, &rh_ub, &dconst0)
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&& (real_isinf (&lh_lb) || real_isinf (&lh_ub))))
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{
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maybe_nan = true;
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bool must_have_signbit_zero = false;
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bool must_have_signbit_nonzero = false;
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if (real_isneg (&lh_lb) == real_isneg (&lh_ub)
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&& real_isneg (&rh_lb) == real_isneg (&rh_ub))
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{
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if (real_isneg (&lh_lb) == real_isneg (&rh_ub))
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must_have_signbit_zero = true;
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else
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must_have_signbit_nonzero = true;
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}
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// If one of the ranges that includes INF is singleton
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// and the other range includes zero, the resulting
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// range is INF and NAN, because the 0 * INF boundary
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// case will be NAN, but already nextafter (0, 1) * INF
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// is INF.
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if ((real_isinf (&lh_lb)
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&& real_isinf (&lh_ub, real_isneg (&lh_lb)))
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|| (real_isinf (&rh_lb)
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&& real_isinf (&rh_ub, real_isneg (&rh_lb))))
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{
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// If all the boundary signs are the same, [+INF, +INF].
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if (must_have_signbit_zero)
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ub = lb = dconstinf;
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// If the two multiplicands have always different sign,
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// [-INF, -INF].
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else if (must_have_signbit_nonzero)
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ub = lb = dconstninf;
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// Otherwise -> [-INF, +INF] (-INF or +INF).
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else
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{
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lb = dconstninf;
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ub = dconstinf;
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}
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return;
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}
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// If one of the multiplicands must be zero, the resulting
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// range is +-0 and NAN.
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if ((real_iszero (&lh_lb) && real_iszero (&lh_ub))
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|| (real_iszero (&rh_lb) && real_iszero (&rh_ub)))
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{
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ub = lb = dconst0;
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// If all the boundary signs are the same, [+0.0, +0.0].
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if (must_have_signbit_zero)
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;
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// If divisor and dividend must have different signs,
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// [-0.0, -0.0].
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else if (must_have_signbit_nonzero)
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ub = lb = real_value_negate (&dconst0);
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// Otherwise -> [-0.0, +0.0].
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else
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lb = real_value_negate (&dconst0);
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return;
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}
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// Otherwise one of the multiplicands could be
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// [0.0, nextafter (0.0, 1.0)] and the [DBL_MAX, INF]
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// or similarly with different signs. 0.0 * DBL_MAX
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// is still 0.0, nextafter (0.0, 1.0) * INF is still INF,
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// so if the signs are always the same or always different,
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// result is [+0.0, +INF] or [-INF, -0.0], otherwise VARYING.
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if (must_have_signbit_zero)
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{
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lb = dconst0;
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ub = dconstinf;
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}
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else if (must_have_signbit_nonzero)
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{
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lb = dconstninf;
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ub = real_value_negate (&dconst0);
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}
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else
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{
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lb = dconstninf;
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ub = dconstinf;
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}
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return;
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}
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}
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REAL_VALUE_TYPE cp[8];
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// Do a cross-product.
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frange_arithmetic (MULT_EXPR, type, cp[0], lh_lb, rh_lb, dconstninf);
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frange_arithmetic (MULT_EXPR, type, cp[4], lh_lb, rh_lb, dconstinf);
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if (is_square)
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{
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// For x * x we can just do max (lh_lb * lh_lb, lh_ub * lh_ub)
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// as maximum and -0.0 as minimum if 0.0 is in the range,
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// otherwise min (lh_lb * lh_lb, lh_ub * lh_ub).
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// -0.0 rather than 0.0 because VREL_EQ doesn't prove that
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// x and y are bitwise equal, just that they compare equal.
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if (real_compare (LE_EXPR, &lh_lb, &dconst0)
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&& real_compare (GE_EXPR, &lh_ub, &dconst0))
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cp[1] = real_value_negate (&dconst0);
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else
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cp[1] = cp[0];
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cp[2] = cp[0];
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cp[5] = cp[4];
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cp[6] = cp[4];
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}
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else
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{
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frange_arithmetic (MULT_EXPR, type, cp[1], lh_lb, rh_ub, dconstninf);
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frange_arithmetic (MULT_EXPR, type, cp[5], lh_lb, rh_ub, dconstinf);
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frange_arithmetic (MULT_EXPR, type, cp[2], lh_ub, rh_lb, dconstninf);
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frange_arithmetic (MULT_EXPR, type, cp[6], lh_ub, rh_lb, dconstinf);
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}
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frange_arithmetic (MULT_EXPR, type, cp[3], lh_ub, rh_ub, dconstninf);
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frange_arithmetic (MULT_EXPR, type, cp[7], lh_ub, rh_ub, dconstinf);
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for (int i = 1; i < 4; ++i)
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{
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if (real_less (&cp[i], &cp[0])
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|| (real_iszero (&cp[0]) && real_isnegzero (&cp[i])))
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std::swap (cp[i], cp[0]);
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if (real_less (&cp[4], &cp[i + 4])
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|| (real_isnegzero (&cp[4]) && real_iszero (&cp[i + 4])))
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std::swap (cp[i + 4], cp[4]);
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}
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lb = cp[0];
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ub = cp[4];
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}
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} fop_mult;
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// Instantiate a range_op_table for floating point operations.
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static floating_op_table global_floating_table;
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@ -1942,6 +2120,7 @@ floating_op_table::floating_op_table ()
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set (NEGATE_EXPR, fop_negate);
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set (PLUS_EXPR, fop_plus);
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set (MINUS_EXPR, fop_minus);
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set (MULT_EXPR, fop_mult);
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}
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// Return a pointer to the range_operator_float instance, if there is
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@ -128,7 +128,8 @@ public:
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const REAL_VALUE_TYPE &lh_lb,
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const REAL_VALUE_TYPE &lh_ub,
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const REAL_VALUE_TYPE &rh_lb,
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const REAL_VALUE_TYPE &rh_ub) const;
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const REAL_VALUE_TYPE &rh_ub,
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relation_kind) const;
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// Unary operations have the range of the LHS as op2.
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virtual bool fold_range (irange &r, tree type,
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const frange &lh,
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