Hi,
Jiufu Guo <guoji...@linux.ibm.com> writes: > Hi, > > Integer expression "(X - N * M) / N" can be optimized to "X / N - M" if > there is no wrap/overflow/underflow and "X - N * M" has the same sign > with "X". > > Compare with the previous version: > https://gcc.gnu.org/pipermail/gcc-patches/2023-June/620896.html > This version changes: > 1. Remove the behavior to convert 'm' to '-m' for unsigned variable. > This kind of case is rare, and it makes the code ambiguous. > 2. Use the 'capture' expression and avoid building new expressions. > 3. Add APIs like get_range and nonpositive/nonnegative. > 4. Refactor patterns in match.pd and function names and signatures. > > While some APIs are still in gimple-fold.cc/h. Tried to add them > to other files, but did not find a better place. > Thanks for comments/suggestions! Saving and propagating overflow information in range-op and value-range maybe one idea. While I'm wondering if this is a better method from the aspect of compiling time and memory usage. As below attached patch, a m_ovf field is added to irange, and maintain it in range-op/value-range-storage. BR, Jeff (Jiufu Guo) diff --git a/gcc/range-op.cc b/gcc/range-op.cc index 3ab2c665901..7c287aed8b8 100644 --- a/gcc/range-op.cc +++ b/gcc/range-op.cc @@ -261,6 +261,7 @@ range_operator::fold_range (irange &r, tree type, relation_trio trio) const { gcc_checking_assert (r.supports_type_p (type)); + r.set_overflow (lh.with_overflow () || rh.with_overflow ()); if (empty_range_varying (r, type, lh, rh)) return true; @@ -433,6 +434,10 @@ value_range_with_overflow (irange &r, tree type, const unsigned int prec = TYPE_PRECISION (type); const bool overflow_wraps = TYPE_OVERFLOW_WRAPS (type); + if (!TYPE_OVERFLOW_UNDEFINED (type) + && (min_ovf != wi::OVF_NONE || max_ovf != wi::OVF_NONE)) + r.set_overflow (true); + // For one bit precision if max != min, then the range covers all // values. if (prec == 1 && wi::ne_p (wmax, wmin)) @@ -2050,10 +2055,15 @@ operator_mult::wi_fold (irange &r, tree type, // Sort the 4 products so that min is in prod0 and max is in // prod3. - widest2_int prod0 = min0 * min1; - widest2_int prod1 = min0 * max1; - widest2_int prod2 = max0 * min1; - widest2_int prod3 = max0 * max1; + wi::overflow_type ovf1, ovf2, ovf3, ovf4; + widest2_int prod0 = wi::mul (min0, min1, sign, &ovf1); + widest2_int prod1 = wi::mul (min0, max1, sign, &ovf2); + widest2_int prod2 = wi::mul (max0, min1, sign, &ovf3); + widest2_int prod3 = wi::mul (max0, max1, sign, &ovf4); + if (!TYPE_OVERFLOW_UNDEFINED (type) + && (ovf1 != wi::OVF_NONE || ovf2 != wi::OVF_NONE || ovf3 != wi::OVF_NONE + || ovf3 != wi::OVF_NONE)) + r.set_overflow (true); // min0min1 > max0max1 if (prod0 > prod3) diff --git a/gcc/value-range-storage.cc b/gcc/value-range-storage.cc index 2f82739680c..a541c31bde2 100644 --- a/gcc/value-range-storage.cc +++ b/gcc/value-range-storage.cc @@ -277,6 +277,7 @@ void irange_storage::set_irange (const irange &r) { gcc_checking_assert (fits_p (r)); + m_ovf = r.with_overflow (); if (r.undefined_p ()) { @@ -325,6 +326,7 @@ read_wide_int (wide_int &w, void irange_storage::get_irange (irange &r, tree type) const { + r.set_overflow (m_ovf); if (m_kind == VR_UNDEFINED) { r.set_undefined (); diff --git a/gcc/value-range-storage.h b/gcc/value-range-storage.h index 99fb815cdc2..fc19009e566 100644 --- a/gcc/value-range-storage.h +++ b/gcc/value-range-storage.h @@ -90,6 +90,7 @@ private: unsigned char m_num_ranges; enum value_range_kind m_kind : 3; + bool m_ovf; // The length of this is m_num_ranges * 2 + 1 to accomodate the nonzero bits. HOST_WIDE_INT m_val[1]; diff --git a/gcc/value-range.h b/gcc/value-range.h index 4dad4666a32..468d48547e1 100644 --- a/gcc/value-range.h +++ b/gcc/value-range.h @@ -147,6 +147,8 @@ public: bool contains_p (const wide_int &) const; bool nonnegative_p () const; bool nonpositive_p () const; + bool with_overflow () const { return m_ovf; } + void set_overflow (bool ovf) { m_ovf = ovf;} // In-place operators. virtual bool union_ (const vrange &) override; @@ -199,6 +201,7 @@ private: unsigned char m_max_ranges; tree m_type; wide_int m_nonzero_mask; + bool m_ovf; protected: wide_int *m_base; }; @@ -842,6 +845,7 @@ irange::irange (wide_int *base, unsigned nranges, bool resizable) { m_base = base; set_undefined (); + m_ovf = false; } // Constructors for int_range<>. > > Bootstrap & regtest pass on ppc64{,le} and x86_64. > Is this patch ok for trunk? > > BR, > Jeff (Jiufu Guo) > > > PR tree-optimization/108757 > > gcc/ChangeLog: > > * gimple-fold.cc (mult_without_overflow_p): New function. > (plus_without_overflow_p): New function. > (minus_without_overflow_p): New function. > (same_sign_p): New function. > * gimple-fold.h (mult_without_overflow_p): New declare. > (plus_without_overflow_p): New declare. > (minus_without_overflow_p): New declare. > (same_sign_p): New declare. > * match.pd ((X - N * M) / N): New pattern. > ((X + N * M) / N): New pattern. > ((X + C) div_rshift N): New pattern. > * value-query.h (get_range): New function. > * value-range.cc (irange::nonnegative_p): New function. > (irange::nonpositive_p): New function. > * value-range.h (irange::nonnegative_p): New declare. > (irange::nonpositive_p): New declare. > > gcc/testsuite/ChangeLog: > > * gcc.dg/pr108757-1.c: New test. > * gcc.dg/pr108757-2.c: New test. > * gcc.dg/pr108757.h: New test. > > --- > gcc/gimple-fold.cc | 132 +++++++++++++++++ > gcc/gimple-fold.h | 4 + > gcc/match.pd | 54 +++++++ > gcc/value-query.h | 10 ++ > gcc/value-range.cc | 12 ++ > gcc/value-range.h | 2 + > gcc/testsuite/gcc.dg/pr108757-1.c | 18 +++ > gcc/testsuite/gcc.dg/pr108757-2.c | 19 +++ > gcc/testsuite/gcc.dg/pr108757.h | 233 ++++++++++++++++++++++++++++++ > 9 files changed, 484 insertions(+) > create mode 100644 gcc/testsuite/gcc.dg/pr108757-1.c > create mode 100644 gcc/testsuite/gcc.dg/pr108757-2.c > create mode 100644 gcc/testsuite/gcc.dg/pr108757.h > > diff --git a/gcc/gimple-fold.cc b/gcc/gimple-fold.cc > index 581575b65ec..c0703b45c4b 100644 > --- a/gcc/gimple-fold.cc > +++ b/gcc/gimple-fold.cc > @@ -9349,3 +9349,135 @@ gimple_stmt_integer_valued_real_p (gimple *stmt, int > depth) > return false; > } > } > + > +/* Return true if "X * Y" may be overflow on integer TYPE. */ > + > +bool > +mult_without_overflow_p (tree x, tree y, tree type) > +{ > + gcc_assert (INTEGRAL_TYPE_P (type)); > + > + if (TYPE_OVERFLOW_UNDEFINED (type)) > + return true; > + > + value_range vr0; > + value_range vr1; > + if (!(get_range (vr0, x) && get_range (vr1, y))) > + return false; > + > + wi::overflow_type ovf; > + signop sgn = TYPE_SIGN (type); > + wide_int wmax0 = vr0.upper_bound (); > + wide_int wmax1 = vr1.upper_bound (); > + wi::mul (wmax0, wmax1, sgn, &ovf); > + if (ovf != wi::OVF_NONE) > + return false; > + > + if (TYPE_UNSIGNED (type)) > + return true; > + > + wide_int wmin0 = vr0.lower_bound (); > + wide_int wmin1 = vr1.lower_bound (); > + wi::mul (wmin0, wmin1, sgn, &ovf); > + if (ovf != wi::OVF_NONE) > + return false; > + > + wi::mul (wmin0, wmax1, sgn, &ovf); > + if (ovf != wi::OVF_NONE) > + return false; > + > + wi::mul (wmax0, wmin1, sgn, &ovf); > + if (ovf != wi::OVF_NONE) > + return false; > + > + return true; > +} > + > +/* Return true if "X + Y" may be overflow on integer TYPE. */ > + > +bool > +plus_without_overflow_p (tree x, tree y, tree type) > +{ > + gcc_assert (INTEGRAL_TYPE_P (type)); > + > + if (TYPE_OVERFLOW_UNDEFINED (type)) > + return true; > + > + value_range vr0; > + value_range vr1; > + if (!(get_range (vr0, x) && get_range (vr1, y))) > + return false; > + > + wi::overflow_type ovf; > + signop sgn = TYPE_SIGN (type); > + wide_int wmax0 = vr0.upper_bound (); > + wide_int wmax1 = vr1.upper_bound (); > + wi::add (wmax0, wmax1, sgn, &ovf); > + if (ovf != wi::OVF_NONE) > + return false; > + > + if (TYPE_UNSIGNED (type)) > + return true; > + > + wide_int wmin0 = vr0.lower_bound (); > + wide_int wmin1 = vr1.lower_bound (); > + wi::add (wmin0, wmin1, sgn, &ovf); > + if (ovf != wi::OVF_NONE) > + return false; > + > + return true; > +} > + > +/* Return true if "X - Y" may be overflow on integer TYPE. */ > + > +bool > +minus_without_overflow_p (tree x, tree y, tree type) > +{ > + gcc_assert (INTEGRAL_TYPE_P (type)); > + > + if (TYPE_OVERFLOW_UNDEFINED (type)) > + return true; > + > + value_range vr0; > + value_range vr1; > + if (!(get_range (vr0, x) && get_range (vr1, y))) > + return false; > + > + wi::overflow_type ovf; > + signop sgn = TYPE_SIGN (type); > + wide_int wmin0 = vr0.lower_bound (); > + wide_int wmax1 = vr1.upper_bound (); > + wi::sub (wmin0, wmax1, sgn, &ovf); > + if (ovf != wi::OVF_NONE) > + return false; > + > + if (TYPE_UNSIGNED (type)) > + return true; > + > + wide_int wmax0 = vr0.upper_bound (); > + wide_int wmin1 = vr1.lower_bound (); > + wi::sub (wmax0, wmin1, sgn, &ovf); > + if (ovf != wi::OVF_NONE) > + return false; > + > + return true; > +} > + > +/* Return true if "X" and "Y" have the same sign or zero. */ > + > +bool > +same_sign_p (tree x, tree y, tree type) > +{ > + gcc_assert (INTEGRAL_TYPE_P (type)); > + > + if (TYPE_UNSIGNED (type)) > + return true; > + > + value_range vr0; > + value_range vr1; > + if (!(get_range (vr0, x) && get_range (vr1, y))) > + return false; > + > + return (vr0.nonnegative_p () && vr1.nonnegative_p ()) > + || (vr0.nonpositive_p () && vr1.nonpositive_p ()); > +} > diff --git a/gcc/gimple-fold.h b/gcc/gimple-fold.h > index 2fd58db9a2e..76c3fe15559 100644 > --- a/gcc/gimple-fold.h > +++ b/gcc/gimple-fold.h > @@ -64,6 +64,10 @@ extern gimple_seq rewrite_to_defined_overflow (gimple *, > bool = false); > extern void replace_call_with_value (gimple_stmt_iterator *, tree); > extern tree tree_vec_extract (gimple_stmt_iterator *, tree, tree, tree, > tree); > extern void gsi_replace_with_seq_vops (gimple_stmt_iterator *, gimple_seq); > +extern bool mult_without_overflow_p (tree, tree, tree); > +extern bool plus_without_overflow_p (tree, tree, tree); > +extern bool minus_without_overflow_p (tree, tree, tree); > +extern bool same_sign_p (tree, tree, tree); > > /* gimple_build, functionally matching fold_buildN, outputs stmts > int the provided sequence, matching and simplifying them on-the-fly. > diff --git a/gcc/match.pd b/gcc/match.pd > index 16482b741ea..ca1defd6692 100644 > --- a/gcc/match.pd > +++ b/gcc/match.pd > @@ -942,6 +942,60 @@ DEFINE_INT_AND_FLOAT_ROUND_FN (RINT) > #endif > )))) > > +#if GIMPLE > +(for div (trunc_div exact_div) > + /* Simplify (t + M*N) / N -> t / N + M. */ > + (simplify > + (div (plus:c@4 @0 (mult:c@3 @1 @2)) @2) > + (if (INTEGRAL_TYPE_P (type) > + && mult_without_overflow_p (@1, @2, type) > + && plus_without_overflow_p (@0, @3, type) > + && same_sign_p (@0, @4, type)) > + (plus (div @0 @2) @1))) > + > + /* Simplify (t - M*N) / N -> t / N - M. */ > + (simplify > + (div (minus@4 @0 (mult:c@3 @1 @2)) @2) > + (if (INTEGRAL_TYPE_P (type) > + && mult_without_overflow_p (@1, @2, type) > + && minus_without_overflow_p (@0, @3, type) > + && same_sign_p (@0, @4, type)) > + (minus (div @0 @2) @1)))) > + > +/* Simplify > + (t + C) / N -> t / N + C / N where C is multiple of N. > + (t + C) >> N -> t >> N + C>>N if low N bits of C is 0. */ > +(for op (trunc_div exact_div rshift) > + (simplify > + (op (plus@3 @0 INTEGER_CST@1) INTEGER_CST@2) > + (with > + { > + wide_int c = wi::to_wide (@1); > + wide_int n = wi::to_wide (@2); > + bool neg_c = TYPE_UNSIGNED (type) && c.sign_mask () < 0; > + c = neg_c ? -c : c; > + bool ok = INTEGRAL_TYPE_P (type); > + if (ok) > + ok = code == RSHIFT_EXPR ? wi::ctz (c) >= n.to_shwi () > + : wi::multiple_of_p (c, n, TYPE_SIGN (type)); > + if (ok) > + ok = neg_c > + ? minus_without_overflow_p (@0, wide_int_to_tree (type, c), type) > + : plus_without_overflow_p (@0, @1, type); > + if (ok) > + ok = same_sign_p (@0, @3, type); > + } > + (if (ok) > + (with > + { > + wide_int m; > + m = op == RSHIFT_EXPR ? wi::rshift (c, n, TYPE_SIGN (type)) > + : wi::div_trunc (c, n, TYPE_SIGN (type)); > + m = neg_c ? -m : m; > + } > + (plus (op @0 @2) { wide_int_to_tree(type, m); })))))) > +#endif > + > (for op (negate abs) > /* Simplify cos(-x) and cos(|x|) -> cos(x). Similarly for cosh. */ > (for coss (COS COSH) > diff --git a/gcc/value-query.h b/gcc/value-query.h > index d10c3eac1e2..2c4b9819d5a 100644 > --- a/gcc/value-query.h > +++ b/gcc/value-query.h > @@ -137,6 +137,16 @@ get_range_query (const struct function *fun) > return (fun && fun->x_range_query) ? fun->x_range_query : &global_ranges; > } > > +/* Return true if there is range for "X" expression at "S" statement, > + and the range is not varying and not undefined. */ > + > +inline bool > +get_range (vrange &r, tree x, gimple *s = NULL) > +{ > + return get_range_query (cfun)->range_of_expr (r, x, s) && !r.varying_p () > + && !r.undefined_p (); > +} > + > // Query the global range of NAME in function F. Default to cfun. > extern void gimple_range_global (vrange &v, tree name, > struct function *f = cfun); > diff --git a/gcc/value-range.cc b/gcc/value-range.cc > index 707b1f15fd4..7ab9f56aec3 100644 > --- a/gcc/value-range.cc > +++ b/gcc/value-range.cc > @@ -287,6 +287,18 @@ add_vrange (const vrange &v, inchash::hash &hstate, > > } //namespace inchash > > +bool > +irange::nonnegative_p () const > +{ > + return wi::ge_p (lower_bound (), 0, TYPE_SIGN (type ())); > +} > + > +bool > +irange::nonpositive_p () const > +{ > + return wi::le_p (upper_bound (), 0, TYPE_SIGN (type ())); > +} > + > bool > irange::supports_type_p (const_tree type) const > { > diff --git a/gcc/value-range.h b/gcc/value-range.h > index 2b4ebabe7c8..4dad4666a32 100644 > --- a/gcc/value-range.h > +++ b/gcc/value-range.h > @@ -145,6 +145,8 @@ public: > virtual bool singleton_p (tree *result = NULL) const override; > bool singleton_p (wide_int &) const; > bool contains_p (const wide_int &) const; > + bool nonnegative_p () const; > + bool nonpositive_p () const; > > // In-place operators. > virtual bool union_ (const vrange &) override; > diff --git a/gcc/testsuite/gcc.dg/pr108757-1.c > b/gcc/testsuite/gcc.dg/pr108757-1.c > new file mode 100644 > index 00000000000..7908f4bdcb8 > --- /dev/null > +++ b/gcc/testsuite/gcc.dg/pr108757-1.c > @@ -0,0 +1,18 @@ > +/* PR tree-optimization/108757 */ > +/* { dg-do compile } */ > +/* { dg-options "-O2 -fdump-tree-optimized" } */ > + > +#include <limits.h> > +#define N 5 > +#define M 3 > +#define GAP 0 > +typedef unsigned int UINT; > +typedef int INT; > +#define UMAX UINT_MAX > +#define IMAX INT_MAX > +#define IMIN INT_MIN > +#include "pr108757.h" > + > +/* { dg-final { scan-tree-dump-not " = x_\[0-9\]+\\(D\\) \\+ " "optimized" } > } * > +/* { dg-final { scan-tree-dump-not " = x_\[0-9\]+\\(D\\) \\- " "optimized" } > } */ > +/* { dg-final { scan-tree-dump-not " = b_\[0-9\]+ \\+ " "optimized" } } */ > diff --git a/gcc/testsuite/gcc.dg/pr108757-2.c > b/gcc/testsuite/gcc.dg/pr108757-2.c > new file mode 100644 > index 00000000000..82bebd09944 > --- /dev/null > +++ b/gcc/testsuite/gcc.dg/pr108757-2.c > @@ -0,0 +1,19 @@ > +/* PR tree-optimization/108757 */ > +/* { dg-do compile } */ > +/* { dg-options "-O2 -fdump-tree-optimized -fwrapv" } */ > + > +#include <limits.h> > +#define N 4 > +#define M 3 > +#define GAP 2 > +typedef unsigned int UINT; > +typedef int INT; > +#define UMAX UINT_MAX > +#define IMAX INT_MAX > +#define IMIN INT_MIN > +#include "pr108757.h" > + > +/* { dg-final { scan-tree-dump-times " = x_\[0-9\]+\\(D\\) \\+ " 16 > "optimized" } } */ > +/* { dg-final { scan-tree-dump-times " = x_\[0-9\]+\\(D\\) \\- " 3 > "optimized" } } */ > +/* { dg-final { scan-tree-dump-times " \\+ x_\[0-9\]+\\(D\\)" 3 "optimized" > } } */ > + > diff --git a/gcc/testsuite/gcc.dg/pr108757.h b/gcc/testsuite/gcc.dg/pr108757.h > new file mode 100644 > index 00000000000..5550199c1ef > --- /dev/null > +++ b/gcc/testsuite/gcc.dg/pr108757.h > @@ -0,0 +1,233 @@ > +#define NOINLINE __attribute__ ((noinline)) > +UINT NOINLINE > +opt_u1 (UINT x) > +{ > + if (x < (M * N) - GAP) > + return 0; > + UINT a = x - (M * N); > + UINT b = a / N; > + return b + M; > +} > + > +UINT NOINLINE > +opt_u2 (UINT x) > +{ > + if (x > (UMAX - (M * N) + GAP)) > + return 0; > + UINT a = x + (M * N); > + UINT b = a / N; > + return b - M; > +} > + > +INT NOINLINE > +opt_s1 (INT x) > +{ > + if (x < (M * N) - GAP) > + return 0; > + INT a = x - (M * N); > + INT b = a / N; > + return b + M; > +} > + > +INT NOINLINE > +opt_s2 (INT x) > +{ > + if (x < IMIN + (M * N) - GAP || x > 0) > + return 0; > + INT a = x - (M * N); > + INT b = a / N; > + return b + M; > +} > + > +INT NOINLINE > +opt_s3 (INT x) > +{ > + if (x < (M * N) - GAP) > + return 0; > + INT a = x - (M * N); > + INT b = a / -N; > + return b + -M; > +} > + > +INT NOINLINE > +opt_s4 (INT x) > +{ > + if (x < IMIN + (M * N) - GAP || x > 0) > + return 0; > + INT a = x - (M * N); > + INT b = a / -N; > + return b + -M; > +} > + > +INT NOINLINE > +opt_s5 (INT x) > +{ > + if (x > (-M * N) + GAP) > + return 0; > + INT a = x - (-M * N); > + INT b = a / N; > + return b + -M; > +} > + > +INT NOINLINE > +opt_s6 (INT x) > +{ > + if (x > IMAX - (M * N) + GAP || x < 0) > + return 0; > + INT a = x - (-M * N); > + INT b = a / N; > + return b + -M; > +} > + > +INT NOINLINE > +opt_s7 (INT x) > +{ > + if (x > (M * -N) + GAP) > + return 0; > + INT a = x - (M * -N); > + INT b = a / -N; > + return b + M; > +} > + > +INT NOINLINE > +opt_s8 (INT x) > +{ > + if (x > IMAX - (M * N) + GAP || x < 0) > + return 0; > + INT a = x - (M * -N); > + INT b = a / -N; > + return b + M; > +} > + > +UINT NOINLINE > +opt_u3 (UINT x) > +{ > + if (x < (M << N) - GAP) > + return 0; > + UINT a = x - (M << N); > + UINT b = a >> N; > + return b + M; > +} > + > +UINT NOINLINE > +opt_u4 (UINT x) > +{ > + if (x > (UMAX - (M << N)) + GAP) > + return 0; > + UINT a = x + (M << N); > + UINT b = a >> N; > + return b - M; > +} > + > +INT NOINLINE > +opt_s9 (INT x) > +{ > + if (x < (M << N) - GAP) > + return 0; > + INT a = x - (M << N); > + INT b = a >> N; > + return b + M; > +} > + > +INT NOINLINE > +opt_s10 (INT x) > +{ > + if (x < IMIN + (M << N) - GAP || x > 0) > + return 0; > + INT a = x - (M << N); > + INT b = a >> N; > + return b + M; > +} > + > +INT NOINLINE > +opt_s11 (INT x) > +{ > + if (x > (-M << N) + GAP) > + return 0; > + INT a = x - (-M << N); > + INT b = a >> N; > + return b + -M; > +} > + > +INT NOINLINE > +opt_s12 (INT x) > +{ > + if (x > IMAX - (M << N) + GAP || x < 0) > + return 0; > + INT a = x - (-M << N); > + INT b = a >> N; > + return b + -M; > +} > + > +UINT NOINLINE > +opt_u5 (UINT x, UINT n, UINT m) > +{ > + if (n > N || m > M) > + return 0; > + if (x < (M*N) - GAP) > + return 0; > + UINT a = x - (m * n); > + UINT b = a / n; > + return b + m; > +} > + > +UINT NOINLINE > +opt_u6 (UINT x, UINT n, UINT m) > +{ > + if (n > N || m > M) > + return 0; > + if (x > (UMAX - M*N) + GAP) > + return 0; > + UINT a = x + (m * n); > + UINT b = a / n; > + return b - m; > +} > + > +INT NOINLINE > +opt_s13 (INT x, INT n, INT m) > +{ > + if (n > N || m > M || n < 0 || m < 0) > + return 0; > + if (x < (M*N) - GAP) > + return 0; > + INT a = x - (m * n); > + INT b = a / n; > + return b + m; > +} > + > +INT NOINLINE > +opt_s14 (INT x, INT n, INT m) > +{ > + if (n > N || m > M || n < 0 || m < 0) > + return 0; > + if (x > -M*N + GAP) > + return 0; > + INT a = x + (m * n); > + INT b = a / n; > + return b - m; > +} > + > +INT > +opt_s15 (INT x, INT n, INT m) > +{ > + if (n > 0 || m > 0 || n < -N || m < -M) > + return 0; > + if (x < (M*N) - GAP) > + return 0; > + INT a = x - (m * n); > + INT b = a / n; > + return b + m; > +} > + > +INT NOINLINE > +opt_s16 (INT x, INT n, INT m) > +{ > + if (n > 0 || m > 0 || n < -N || m < -M) > + return 0; > + if (x < 0 || x > (IMAX - M*N) + GAP) > + return 0; > + INT a = x + (m * n); > + INT b = a / n; > + return b - m; > +} > +