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[RFC PATCH 15/15] softfloat: Improve subtraction of equal exponent


From: Richard Henderson
Subject: [RFC PATCH 15/15] softfloat: Improve subtraction of equal exponent
Date: Tue, 20 Oct 2020 21:51:49 -0700

Rather than compare the fractions before subtracting, do the
subtract and examine the result, possibly negating it.

Looking toward re-using addsub_floats(N**2) for the addition
stage of muladd_floats(N), this will important because of the
longer fraction sizes.

Signed-off-by: Richard Henderson <richard.henderson@linaro.org>
---
 fpu/softfloat.c           |  4 ++++
 fpu/softfloat-parts.c.inc | 32 ++++++++++++++++++++------------
 2 files changed, 24 insertions(+), 12 deletions(-)

diff --git a/fpu/softfloat.c b/fpu/softfloat.c
index 294c573fb9..bf808a1b74 100644
--- a/fpu/softfloat.c
+++ b/fpu/softfloat.c
@@ -732,6 +732,7 @@ static FloatParts pick_nan_muladd(FloatParts a, FloatParts 
b, FloatParts c,
 #define EQ0(P)            ((P) == 0)
 #define EQ(P1, P2)        ((P1) == (P2))
 #define GEU(P1, P2)       ((P1) >= (P2))
+#define NEG(P)            (-(P))
 #define OR(P1, P2)        ((P1) | (P2))
 #define SHL(P, C)         ((P) << (C))
 #define SHR(P, C)         ((P) >> (C))
@@ -755,6 +756,7 @@ static FloatParts pick_nan_muladd(FloatParts a, FloatParts 
b, FloatParts c,
 #undef EQ0
 #undef EQ
 #undef GEU
+#undef NEG
 #undef OR
 #undef SHL
 #undef SHR
@@ -777,6 +779,7 @@ static FloatParts pick_nan_muladd(FloatParts a, FloatParts 
b, FloatParts c,
 #define EQ0(P)            (!int128_nz(P))
 #define EQ(P1, P2)        int128_eq(P1, P2)
 #define GEU(P1, P2)       int128_geu(P1, P2)
+#define NEG(P)            int128_neg(P)
 #define OR(P1, P2)        int128_or(P1, P2)
 #define SHL(P, C)         int128_shl(P, C)
 #define SHR(P, C)         int128_shr(P, C)
@@ -801,6 +804,7 @@ static FloatParts pick_nan_muladd(FloatParts a, FloatParts 
b, FloatParts c,
 #undef EQ0
 #undef EQ
 #undef GEU
+#undef NEG
 #undef SHL
 #undef SHR
 #undef SHR_JAM
diff --git a/fpu/softfloat-parts.c.inc b/fpu/softfloat-parts.c.inc
index d2b6454903..9762cf8b66 100644
--- a/fpu/softfloat-parts.c.inc
+++ b/fpu/softfloat-parts.c.inc
@@ -254,29 +254,37 @@ FUNC(addsub_floats)(PARTS_TYPE a, PARTS_TYPE b,
         /* Subtraction */
 
         if (likely(ab_mask == float_cmask_normal)) {
-            if (a.exp > b.exp || (a.exp == b.exp && GEU(a.frac, b.frac))) {
-                b.frac = SHR_JAM(b.frac, a.exp - b.exp);
+            int shift, diff_exp = a.exp - b.exp;
+
+            if (diff_exp > 0) {
+                b.frac = SHR_JAM(b.frac, diff_exp);
                 a.frac = SUB(a.frac, b.frac);
-            } else {
-                a.frac = SHR_JAM(a.frac, b.exp - a.exp);
+            } else if (diff_exp < 0) {
+                a.frac = SHR_JAM(a.frac, -diff_exp);
                 a.frac = SUB(b.frac, a.frac);
                 a.exp = b.exp;
                 a.sign ^= 1;
+            } else {
+                a.frac = SUB(b.frac, a.frac);
+                /* a.frac < b.frac results in carry into the overflow bit. */
+                if (HI(a.frac) & DECOMPOSED_OVERFLOW_BIT) {
+                    a.frac = NEG(a.frac);
+                    a.sign ^= 1;
+                } else if (EQ0(a.frac)) {
+                    a.cls = float_class_zero;
+                    goto sub_zero;
+                }
             }
 
-            if (EQ0(a.frac)) {
-                a.cls = float_class_zero;
-                a.sign = s->float_rounding_mode == float_round_down;
-            } else {
-                int shift = CLZ(a.frac) - 1;
-                a.frac = SHL(a.frac, shift);
-                a.exp -= shift;
-            }
+            shift = CLZ(a.frac) - 1;
+            a.frac = SHL(a.frac, shift);
+            a.exp -= shift;
             return a;
         }
 
         /* 0 - 0 */
         if (ab_mask == float_cmask_zero) {
+ sub_zero:
             a.sign = s->float_rounding_mode == float_round_down;
             return a;
         }
-- 
2.25.1




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