From 84ba214c2197586bc80631dd6d6110a3bbaab7bf Mon Sep 17 00:00:00 2001 From: Siddhesh Poyarekar Date: Fri, 20 Dec 2013 15:58:19 +0530 Subject: Remove more redundant computations in s_sin.c Removed more redundant computations in the slow paths of the sin and cos functions. The notable change is the passing of the most significant bits of X to the slow functions to check if X is positive so that just the absolute value of x can be passed and the repeated ABS() operation is avoided. --- sysdeps/ieee754/dbl-64/s_sin.c | 75 +++++++++++++++++++----------------------- 1 file changed, 33 insertions(+), 42 deletions(-) (limited to 'sysdeps') diff --git a/sysdeps/ieee754/dbl-64/s_sin.c b/sysdeps/ieee754/dbl-64/s_sin.c index 48a26f57c4..0033f94794 100644 --- a/sysdeps/ieee754/dbl-64/s_sin.c +++ b/sysdeps/ieee754/dbl-64/s_sin.c @@ -134,7 +134,7 @@ static double slow (double x); static double slow1 (double x); static double slow2 (double x); static double sloww (double x, double dx, double orig); -static double sloww1 (double x, double dx, double orig); +static double sloww1 (double x, double dx, double orig, int m); static double sloww2 (double x, double dx, double orig, int n); static double bsloww (double x, double dx, double orig, int n); static double bsloww1 (double x, double dx, double orig, int n); @@ -142,7 +142,7 @@ static double bsloww2 (double x, double dx, double orig, int n); int __branred (double x, double *a, double *aa); static double cslow2 (double x); static double csloww (double x, double dx, double orig); -static double csloww1 (double x, double dx, double orig); +static double csloww1 (double x, double dx, double orig, int m); static double csloww2 (double x, double dx, double orig, int n); /* Reduce range of X and compute sin of a + da. K is the amount by which to @@ -287,18 +287,15 @@ __sin (double x) else { if (a > 0) - { - m = 1; - t = a; - } + m = 1; else { m = 0; - t = -a; + a = -a; da = -da; } - u.x = big + t; - y = t - (u.x - big); + u.x = big + a; + y = a - (u.x - big); xx = y * y; s = y + (da + y * xx * (sn3 + xx * sn5)); c = y * da + xx * (cs2 + xx * (cs4 + xx * cs6)); @@ -308,7 +305,7 @@ __sin (double x) cor = (sn - res) + cor; cor = (cor > 0) ? 1.035 * cor + eps : 1.035 * cor - eps; retval = ((res == res + cor) ? ((m) ? res : -res) - : sloww1 (a, da, x)); + : sloww1 (a, da, x, m)); } break; @@ -375,17 +372,16 @@ __sin (double x) if (a > 0) { m = 1; - t = a; db = da; } else { m = 0; - t = -a; + a = -a; db = -da; } - u.x = big + t; - y = t - (u.x - big); + u.x = big + a; + y = a - (u.x - big); xx = y * y; s = y + (db + y * xx * (sn3 + xx * sn5)); c = y * db + xx * (cs2 + xx * (cs4 + xx * cs6)); @@ -496,16 +492,15 @@ __cos (double x) if (a > 0) { m = 1; - t = a; } else { m = 0; - t = -a; + a = -a; da = -da; } - u.x = big + t; - y = t - (u.x - big); + u.x = big + a; + y = a - (u.x - big); xx = y * y; s = y + (da + y * xx * (sn3 + xx * sn5)); c = y * da + xx * (cs2 + xx * (cs4 + xx * cs6)); @@ -515,7 +510,7 @@ __cos (double x) cor = (sn - res) + cor; cor = (cor > 0) ? 1.035 * cor + 1.0e-31 : 1.035 * cor - 1.0e-31; retval = ((res == res + cor) ? ((m) ? res : -res) - : csloww1 (a, da, x)); + : csloww1 (a, da, x, m)); } } /* else if (k < 0x400368fd) */ @@ -554,16 +549,15 @@ __cos (double x) if (a > 0) { m = 1; - t = a; } else { m = 0; - t = -a; + a = -a; da = -da; } - u.x = big + t; - y = t - (u.x - big); + u.x = big + a; + y = a - (u.x - big); xx = y * y; s = y + (da + y * xx * (sn3 + xx * sn5)); c = y * da + xx * (cs2 + xx * (cs4 + xx * cs6)); @@ -573,7 +567,7 @@ __cos (double x) cor = (sn - res) + cor; cor = (cor > 0) ? 1.035 * cor + eps : 1.035 * cor - eps; retval = ((res == res + cor) ? ((m) ? res : -res) - : csloww1 (a, da, x)); + : csloww1 (a, da, x, m)); } break; @@ -638,17 +632,16 @@ __cos (double x) if (a > 0) { m = 1; - t = a; db = da; } else { m = 0; - t = -a; + a = -a; db = -da; } - u.x = big + t; - y = t - (u.x - big); + u.x = big + a; + y = a - (u.x - big); xx = y * y; s = y + (db + y * xx * (sn3 + xx * sn5)); c = y * db + xx * (cs2 + xx * (cs4 + xx * cs6)); @@ -888,14 +881,13 @@ sloww (double x, double dx, double orig) static double SECTION -sloww1 (double x, double dx, double orig) +sloww1 (double x, double dx, double orig, int m) { mynumber u; double sn, ssn, cs, ccs, s, c, w[2], y, y1, y2, c1, c2, xx, cor, res; - y = ABS (x); - u.x = big + y; - y = y - (u.x - big); + u.x = big + x; + y = x - (u.x - big); xx = y * y; s = y * xx * (sn3 + xx * sn5); c = xx * (cs2 + xx * (cs4 + xx * cs6)); @@ -916,10 +908,10 @@ sloww1 (double x, double dx, double orig) cor = 1.0005 * cor - 3.1e-30 * ABS (orig); if (res == res + cor) - return (x > 0) ? res : -res; + return (m > 0) ? res : -res; else { - __dubsin (ABS (x), dx, w); + __dubsin (x, dx, w); if (w[1] > 0) cor = 1.000000005 * w[1] + 1.1e-30 * ABS (orig); @@ -927,7 +919,7 @@ sloww1 (double x, double dx, double orig) cor = 1.000000005 * w[1] - 1.1e-30 * ABS (orig); if (w[0] == w[0] + cor) - return (x > 0) ? w[0] : -w[0]; + return (m > 0) ? w[0] : -w[0]; else return __mpsin (orig, 0, true); } @@ -1240,14 +1232,13 @@ csloww (double x, double dx, double orig) static double SECTION -csloww1 (double x, double dx, double orig) +csloww1 (double x, double dx, double orig, int m) { mynumber u; double sn, ssn, cs, ccs, s, c, w[2], y, y1, y2, c1, c2, xx, cor, res; - y = ABS (x); - u.x = big + y; - y = y - (u.x - big); + u.x = big + x; + y = x - (u.x - big); xx = y * y; s = y * xx * (sn3 + xx * sn5); c = xx * (cs2 + xx * (cs4 + xx * cs6)); @@ -1268,16 +1259,16 @@ csloww1 (double x, double dx, double orig) cor = 1.0005 * cor - 3.1e-30 * ABS (orig); if (res == res + cor) - return (x > 0) ? res : -res; + return (m > 0) ? res : -res; else { - __dubsin (ABS (x), dx, w); + __dubsin (x, dx, w); if (w[1] > 0) cor = 1.000000005 * w[1] + 1.1e-30 * ABS (orig); else cor = 1.000000005 * w[1] - 1.1e-30 * ABS (orig); if (w[0] == w[0] + cor) - return (x > 0) ? w[0] : -w[0]; + return (m > 0) ? w[0] : -w[0]; else return __mpcos (orig, 0, true); } -- cgit 1.4.1