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hardfloat: implement float32/64 comparison
Performance results for fp-bench: Host: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz - before: cmp-single: 110.98 MFlops cmp-double: 107.12 MFlops - after: cmp-single: 506.28 MFlops cmp-double: 524.77 MFlops Note that flattening both eq and eq_signaling versions would give us extra performance (695v506, 615v524 Mflops for single/double, respectively) but this would emit two essentially identical functions for each eq/signaling pair, which is a waste. Aggregate performance improvement for the last few patches: [ all charts in png: https://imgur.com/a/4yV8p ] 1. Host: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz qemu-aarch64 NBench score; higher is better Host: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz 16 +-+-----------+-------------+----===-------+---===-------+-----------+-+ 14 +-+..........................@@@&&.=.......@@@&&.=...................+-+ 12 +-+..........................@.@.&.=.......@.@.&.=.....+befor=== +-+ 10 +-+..........................@.@.&.=.......@.@.&.=.....+ad@@&& = +-+ 8 +-+.......................$$$%.@.&.=.......@.@.&.=.....+ @@u& = +-+ 6 +-+............@@@&&=+***##.$%.@.&.=***##$$%+@.&.=..###$$%%@i& = +-+ 4 +-+.......###$%%.@.&=.*.*.#.$%.@.&.=*.*.#.$%.@.&.=+**.#+$ +@m& = +-+ 2 +-+.....***.#$.%.@.&=.*.*.#.$%.@.&.=*.*.#.$%.@.&.=.**.#+$+sqr& = +-+ 0 +-+-----***##$%%@@&&=-***##$$%@@&&==***##$$%@@&&==-**##$$%+cmp==-----+-+ FOURIER NEURAL NELU DECOMPOSITION gmean qemu-aarch64 SPEC06fp (test set) speedup over QEMU 4c2c1015905 Host: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz error bars: 95% confidence interval 4.5 +-+---+-----+----+-----+-----+-&---+-----+----+-----+-----+-----+----+-----+-----+-----+-----+----+-----+---+-+ 4 +-+..........................+@@+...........................................................................+-+ 3.5 +-+..............%%@&.........@@..............%%@&............................................+++dsub +-+ 2.5 +-+....&&+.......%%@&.......+%%@..+%%&+..@@&+.%%@&....................................+%%&+.+%@&++%%@& +-+ 2 +-+..+%%&..+%@&+.%%@&...+++..%%@...%%&.+$$@&..%%@&..%%@&.......+%%&+.%%@&+......+%%@&.+%%&++$$@&++d%@& %%@&+-+ 1.5 +-+**#$%&**#$@&**#%@&**$%@**#$%@**#$%&**#$@&**$%@&*#$%@**#$%@**#$%&**#%@&**$%@&*#$%@**#$%&**#$@&*+f%@&**$%@&+-+ 0.5 +-+**#$%&**#$@&**#%@&**$%@**#$%@**#$%&**#$@&**$%@&*#$%@**#$%@**#$%&**#%@&**$%@&*#$%@**#$%&**#$@&+sqr@&**$%@&+-+ 0 +-+**#$%&**#$@&**#%@&**$%@**#$%@**#$%&**#$@&**$%@&*#$%@**#$%@**#$%&**#%@&**$%@&*#$%@**#$%&**#$@&*+cmp&**$%@&+-+ 410.bw416.gam433.434.z435.436.cac437.lesli444.447.de450.so453454.ca459.GemsF465.tont470.lb4482.sphinxgeomean 2. Host: ARM Aarch64 A57 @ 2.4GHz qemu-aarch64 NBench score; higher is better Host: Applied Micro X-Gene, Aarch64 A57 @ 2.4 GHz 5 +-+-----------+-------------+-------------+-------------+-----------+-+ 4.5 +-+........................................@@@&==...................+-+ 3 4 +-+..........................@@@&==........@.@&.=.....+before +-+ 3 +-+..........................@.@&.=........@.@&.=.....+ad@@@&== +-+ 2.5 +-+.....................##$$%%.@&.=........@.@&.=.....+ @m@& = +-+ 2 +-+............@@@&==.***#.$.%.@&.=.***#$$%%.@&.=.***#$$%%d@& = +-+ 1.5 +-+.....***#$$%%.@&.=.*.*#.$.%.@&.=.*.*#.$.%.@&.=.*.*#+$ +f@& = +-+ 0.5 +-+.....*.*#.$.%.@&.=.*.*#.$.%.@&.=.*.*#.$.%.@&.=.*.*#+$+sqr& = +-+ 0 +-+-----***#$$%%@@&==-***#$$%%@@&==-***#$$%%@@&==-***#$$%+cmp==-----+-+ FOURIER NEURAL NLU DECOMPOSITION gmean
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@ -2906,28 +2906,109 @@ static int compare_floats(FloatParts a, FloatParts b, bool is_quiet,
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}
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}
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#define COMPARE(sz) \
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int float ## sz ## _compare(float ## sz a, float ## sz b, \
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float_status *s) \
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#define COMPARE(name, attr, sz) \
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static int attr \
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name(float ## sz a, float ## sz b, bool is_quiet, float_status *s) \
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{ \
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FloatParts pa = float ## sz ## _unpack_canonical(a, s); \
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FloatParts pb = float ## sz ## _unpack_canonical(b, s); \
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return compare_floats(pa, pb, false, s); \
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} \
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int float ## sz ## _compare_quiet(float ## sz a, float ## sz b, \
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float_status *s) \
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{ \
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FloatParts pa = float ## sz ## _unpack_canonical(a, s); \
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FloatParts pb = float ## sz ## _unpack_canonical(b, s); \
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return compare_floats(pa, pb, true, s); \
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return compare_floats(pa, pb, is_quiet, s); \
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}
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COMPARE(16)
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COMPARE(32)
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COMPARE(64)
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COMPARE(soft_f16_compare, QEMU_FLATTEN, 16)
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COMPARE(soft_f32_compare, QEMU_SOFTFLOAT_ATTR, 32)
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COMPARE(soft_f64_compare, QEMU_SOFTFLOAT_ATTR, 64)
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#undef COMPARE
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int float16_compare(float16 a, float16 b, float_status *s)
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{
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return soft_f16_compare(a, b, false, s);
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}
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int float16_compare_quiet(float16 a, float16 b, float_status *s)
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{
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return soft_f16_compare(a, b, true, s);
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}
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static int QEMU_FLATTEN
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f32_compare(float32 xa, float32 xb, bool is_quiet, float_status *s)
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{
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union_float32 ua, ub;
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ua.s = xa;
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ub.s = xb;
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if (QEMU_NO_HARDFLOAT) {
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goto soft;
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}
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float32_input_flush2(&ua.s, &ub.s, s);
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if (isgreaterequal(ua.h, ub.h)) {
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if (isgreater(ua.h, ub.h)) {
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return float_relation_greater;
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}
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return float_relation_equal;
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}
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if (likely(isless(ua.h, ub.h))) {
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return float_relation_less;
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}
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/* The only condition remaining is unordered.
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* Fall through to set flags.
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*/
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soft:
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return soft_f32_compare(ua.s, ub.s, is_quiet, s);
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}
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int float32_compare(float32 a, float32 b, float_status *s)
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{
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return f32_compare(a, b, false, s);
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}
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int float32_compare_quiet(float32 a, float32 b, float_status *s)
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{
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return f32_compare(a, b, true, s);
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}
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static int QEMU_FLATTEN
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f64_compare(float64 xa, float64 xb, bool is_quiet, float_status *s)
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{
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union_float64 ua, ub;
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ua.s = xa;
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ub.s = xb;
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if (QEMU_NO_HARDFLOAT) {
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goto soft;
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}
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float64_input_flush2(&ua.s, &ub.s, s);
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if (isgreaterequal(ua.h, ub.h)) {
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if (isgreater(ua.h, ub.h)) {
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return float_relation_greater;
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}
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return float_relation_equal;
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}
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if (likely(isless(ua.h, ub.h))) {
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return float_relation_less;
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}
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/* The only condition remaining is unordered.
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* Fall through to set flags.
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*/
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soft:
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return soft_f64_compare(ua.s, ub.s, is_quiet, s);
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}
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int float64_compare(float64 a, float64 b, float_status *s)
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{
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return f64_compare(a, b, false, s);
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}
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int float64_compare_quiet(float64 a, float64 b, float_status *s)
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{
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return f64_compare(a, b, true, s);
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}
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/* Multiply A by 2 raised to the power N. */
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static FloatParts scalbn_decomposed(FloatParts a, int n, float_status *s)
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{
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