Optimize libm

libm is now somewhat integrated with gcc's -ffinite-math-only option
and lots of the wrapper functions have been optimized.

1 files changed, 47 insertions, 153 deletions

diff --git a/sysdeps/ieee754/flt-32/e_j0f.c b/sysdeps/ieee754/flt-32/e_j0f.c
index 8c499e614e..d2da43f929 100644
--- a/sysdeps/ieee754/flt-32/e_j0f.c
+++ b/sysdeps/ieee754/flt-32/e_j0f.c
@@ -13,29 +13,17 @@
  * ====================================================
  */
 
-#if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: e_j0f.c,v 1.4 1995/05/10 20:45:25 jtc Exp $";
-#endif
-
 #include "math.h"
 #include "math_private.h"
 
-#ifdef __STDC__
 static float pzerof(float), qzerof(float);
-#else
-static float pzerof(), qzerof();
-#endif
 
-#ifdef __STDC__
 static const float
-#else
-static float
-#endif
-huge 	= 1e30,
+huge	= 1e30,
 one	= 1.0,
 invsqrtpi=  5.6418961287e-01, /* 0x3f106ebb */
 tpi      =  6.3661974669e-01, /* 0x3f22f983 */
- 		/* R0/S0 on [0, 2.00] */
+		/* R0/S0 on [0, 2.00] */
 R02  =  1.5625000000e-02, /* 0x3c800000 */
 R03  = -1.8997929874e-04, /* 0xb947352e */
 R04  =  1.8295404516e-06, /* 0x35f58e88 */
@@ -45,18 +33,10 @@ S02  =  1.1692678527e-04, /* 0x38f53697 */
 S03  =  5.1354652442e-07, /* 0x3509daa6 */
 S04  =  1.1661400734e-09; /* 0x30a045e8 */
 
-#ifdef __STDC__
 static const float zero = 0.0;
-#else
-static float zero = 0.0;
-#endif
 
-#ifdef __STDC__
-	float __ieee754_j0f(float x)
-#else
-	float __ieee754_j0f(x)
-	float x;
-#endif
+float
+__ieee754_j0f(float x)
 {
 	float z, s,c,ss,cc,r,u,v;
 	int32_t hx,ix;
@@ -72,7 +52,7 @@ static float zero = 0.0;
 		if(ix<0x7f000000) {  /* make sure x+x not overflow */
 		    z = -__cosf(x+x);
 		    if ((s*c)<zero) cc = z/ss;
-		    else 	    ss = z/cc;
+		    else	    ss = z/cc;
 		}
 	/*
 	 * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
@@ -87,8 +67,8 @@ static float zero = 0.0;
 	}
 	if(ix<0x39000000) {	/* |x| < 2**-13 */
 	    if(huge+x>one) {	/* raise inexact if x != 0 */
-	        if(ix<0x32000000) return one;	/* |x|<2**-27 */
-	        else 	      return one - (float)0.25*x*x;
+		if(ix<0x32000000) return one;	/* |x|<2**-27 */
+		else	      return one - (float)0.25*x*x;
 	    }
 	}
 	z = x*x;
@@ -101,12 +81,9 @@ static float zero = 0.0;
 	    return((one+u)*(one-u)+z*(r/s));
 	}
 }
+strong_alias (__ieee754_j0f, __j0f_finite)
 
-#ifdef __STDC__
 static const float
-#else
-static float
-#endif
 u00  = -7.3804296553e-02, /* 0xbd9726b5 */
 u01  =  1.7666645348e-01, /* 0x3e34e80d */
 u02  = -1.3818567619e-02, /* 0xbc626746 */
@@ -119,52 +96,48 @@ v02  =  7.6006865129e-05, /* 0x389f65e0 */
 v03  =  2.5915085189e-07, /* 0x348b216c */
 v04  =  4.4111031494e-10; /* 0x2ff280c2 */
 
-#ifdef __STDC__
-	float __ieee754_y0f(float x)
-#else
-	float __ieee754_y0f(x)
-	float x;
-#endif
+float
+__ieee754_y0f(float x)
 {
 	float z, s,c,ss,cc,u,v;
 	int32_t hx,ix;
 
 	GET_FLOAT_WORD(hx,x);
-        ix = 0x7fffffff&hx;
+	ix = 0x7fffffff&hx;
     /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0, y0(0) is -inf.  */
 	if(ix>=0x7f800000) return  one/(x+x*x);
-        if(ix==0) return -HUGE_VALF+x;  /* -inf and overflow exception.  */
-        if(hx<0) return zero/(zero*x);
-        if(ix >= 0x40000000) {  /* |x| >= 2.0 */
-        /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0))
-         * where x0 = x-pi/4
-         *      Better formula:
-         *              cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
-         *                      =  1/sqrt(2) * (sin(x) + cos(x))
-         *              sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
-         *                      =  1/sqrt(2) * (sin(x) - cos(x))
-         * To avoid cancellation, use
-         *              sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
-         * to compute the worse one.
-         */
+	if(ix==0) return -HUGE_VALF+x;  /* -inf and overflow exception.  */
+	if(hx<0) return zero/(zero*x);
+	if(ix >= 0x40000000) {  /* |x| >= 2.0 */
+	/* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0))
+	 * where x0 = x-pi/4
+	 *      Better formula:
+	 *              cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+	 *                      =  1/sqrt(2) * (sin(x) + cos(x))
+	 *              sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+	 *                      =  1/sqrt(2) * (sin(x) - cos(x))
+	 * To avoid cancellation, use
+	 *              sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+	 * to compute the worse one.
+	 */
 		__sincosf (x, &s, &c);
-                ss = s-c;
-                cc = s+c;
+		ss = s-c;
+		cc = s+c;
 	/*
 	 * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
 	 * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
 	 */
-                if(ix<0x7f000000) {  /* make sure x+x not overflow */
-                    z = -__cosf(x+x);
-                    if ((s*c)<zero) cc = z/ss;
-                    else            ss = z/cc;
-                }
-                if(ix>0x48000000) z = (invsqrtpi*ss)/__ieee754_sqrtf(x);
-                else {
-                    u = pzerof(x); v = qzerof(x);
-                    z = invsqrtpi*(u*ss+v*cc)/__ieee754_sqrtf(x);
-                }
-                return z;
+		if(ix<0x7f000000) {  /* make sure x+x not overflow */
+		    z = -__cosf(x+x);
+		    if ((s*c)<zero) cc = z/ss;
+		    else            ss = z/cc;
+		}
+		if(ix>0x48000000) z = (invsqrtpi*ss)/__ieee754_sqrtf(x);
+		else {
+		    u = pzerof(x); v = qzerof(x);
+		    z = invsqrtpi*(u*ss+v*cc)/__ieee754_sqrtf(x);
+		}
+		return z;
 	}
 	if(ix<=0x32000000) {	/* x < 2**-27 */
 	    return(u00 + tpi*__ieee754_logf(x));
@@ -174,21 +147,18 @@ v04  =  4.4111031494e-10; /* 0x2ff280c2 */
 	v = one+z*(v01+z*(v02+z*(v03+z*v04)));
 	return(u/v + tpi*(__ieee754_j0f(x)*__ieee754_logf(x)));
 }
+strong_alias (__ieee754_y0f, __y0f_finite)
 
 /* The asymptotic expansions of pzero is
  *	1 - 9/128 s^2 + 11025/98304 s^4 - ...,	where s = 1/x.
  * For x >= 2, We approximate pzero by
- * 	pzero(x) = 1 + (R/S)
+ *	pzero(x) = 1 + (R/S)
  * where  R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10
- * 	  S = 1 + pS0*s^2 + ... + pS4*s^10
+ *	  S = 1 + pS0*s^2 + ... + pS4*s^10
  * and
  *	| pzero(x)-1-R/S | <= 2  ** ( -60.26)
  */
-#ifdef __STDC__
 static const float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
-#else
-static float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
-#endif
   0.0000000000e+00, /* 0x00000000 */
  -7.0312500000e-02, /* 0xbd900000 */
  -8.0816707611e+00, /* 0xc1014e86 */
@@ -196,22 +166,14 @@ static float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
  -2.4852163086e+03, /* 0xc51b5376 */
  -5.2530439453e+03, /* 0xc5a4285a */
 };
-#ifdef __STDC__
 static const float pS8[5] = {
-#else
-static float pS8[5] = {
-#endif
   1.1653436279e+02, /* 0x42e91198 */
   3.8337448730e+03, /* 0x456f9beb */
   4.0597855469e+04, /* 0x471e95db */
   1.1675296875e+05, /* 0x47e4087c */
   4.7627726562e+04, /* 0x473a0bba */
 };
-#ifdef __STDC__
 static const float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
-#else
-static float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
-#endif
  -1.1412546255e-11, /* 0xad48c58a */
  -7.0312492549e-02, /* 0xbd8fffff */
  -4.1596107483e+00, /* 0xc0851b88 */
@@ -219,11 +181,7 @@ static float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
  -3.3123129272e+02, /* 0xc3a59d9b */
  -3.4643338013e+02, /* 0xc3ad3779 */
 };
-#ifdef __STDC__
 static const float pS5[5] = {
-#else
-static float pS5[5] = {
-#endif
   6.0753936768e+01, /* 0x42730408 */
   1.0512523193e+03, /* 0x44836813 */
   5.9789707031e+03, /* 0x45bad7c4 */
@@ -231,11 +189,7 @@ static float pS5[5] = {
   2.4060581055e+03, /* 0x451660ee */
 };
 
-#ifdef __STDC__
 static const float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
-#else
-static float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
-#endif
  -2.5470459075e-09, /* 0xb12f081b */
  -7.0311963558e-02, /* 0xbd8fffb8 */
  -2.4090321064e+00, /* 0xc01a2d95 */
@@ -243,11 +197,7 @@ static float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
  -5.8079170227e+01, /* 0xc2685112 */
  -3.1447946548e+01, /* 0xc1fb9565 */
 };
-#ifdef __STDC__
 static const float pS3[5] = {
-#else
-static float pS3[5] = {
-#endif
   3.5856033325e+01, /* 0x420f6c94 */
   3.6151397705e+02, /* 0x43b4c1ca */
   1.1936077881e+03, /* 0x44953373 */
@@ -255,11 +205,7 @@ static float pS3[5] = {
   1.7358093262e+02, /* 0x432d94b8 */
 };
 
-#ifdef __STDC__
 static const float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
-#else
-static float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
-#endif
  -8.8753431271e-08, /* 0xb3be98b7 */
  -7.0303097367e-02, /* 0xbd8ffb12 */
  -1.4507384300e+00, /* 0xbfb9b1cc */
@@ -267,11 +213,7 @@ static float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
  -1.1193166733e+01, /* 0xc1331736 */
  -3.2336456776e+00, /* 0xc04ef40d */
 };
-#ifdef __STDC__
 static const float pS2[5] = {
-#else
-static float pS2[5] = {
-#endif
   2.2220300674e+01, /* 0x41b1c32d */
   1.3620678711e+02, /* 0x430834f0 */
   2.7047027588e+02, /* 0x43873c32 */
@@ -279,18 +221,10 @@ static float pS2[5] = {
   1.4657617569e+01, /* 0x416a859a */
 };
 
-#ifdef __STDC__
-	static float pzerof(float x)
-#else
-	static float pzerof(x)
-	float x;
-#endif
+static float
+pzerof(float x)
 {
-#ifdef __STDC__
 	const float *p,*q;
-#else
-	float *p,*q;
-#endif
 	float z,r,s;
 	int32_t ix;
 	GET_FLOAT_WORD(ix,x);
@@ -309,17 +243,13 @@ static float pS2[5] = {
 /* For x >= 8, the asymptotic expansions of qzero is
  *	-1/8 s + 75/1024 s^3 - ..., where s = 1/x.
  * We approximate pzero by
- * 	qzero(x) = s*(-1.25 + (R/S))
+ *	qzero(x) = s*(-1.25 + (R/S))
  * where  R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10
- * 	  S = 1 + qS0*s^2 + ... + qS5*s^12
+ *	  S = 1 + qS0*s^2 + ... + qS5*s^12
  * and
  *	| qzero(x)/s +1.25-R/S | <= 2  ** ( -61.22)
  */
-#ifdef __STDC__
 static const float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
-#else
-static float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
-#endif
   0.0000000000e+00, /* 0x00000000 */
   7.3242187500e-02, /* 0x3d960000 */
   1.1768206596e+01, /* 0x413c4a93 */
@@ -327,11 +257,7 @@ static float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
   8.8591972656e+03, /* 0x460a6cca */
   3.7014625000e+04, /* 0x471096a0 */
 };
-#ifdef __STDC__
 static const float qS8[6] = {
-#else
-static float qS8[6] = {
-#endif
   1.6377603149e+02, /* 0x4323c6aa */
   8.0983447266e+03, /* 0x45fd12c2 */
   1.4253829688e+05, /* 0x480b3293 */
@@ -340,11 +266,7 @@ static float qS8[6] = {
  -3.4389928125e+05, /* 0xc8a7eb69 */
 };
 
-#ifdef __STDC__
 static const float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
-#else
-static float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
-#endif
   1.8408595828e-11, /* 0x2da1ec79 */
   7.3242180049e-02, /* 0x3d95ffff */
   5.8356351852e+00, /* 0x40babd86 */
@@ -352,11 +274,7 @@ static float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
   1.0272437744e+03, /* 0x448067cd */
   1.9899779053e+03, /* 0x44f8bf4b */
 };
-#ifdef __STDC__
 static const float qS5[6] = {
-#else
-static float qS5[6] = {
-#endif
   8.2776611328e+01, /* 0x42a58da0 */
   2.0778142090e+03, /* 0x4501dd07 */
   1.8847289062e+04, /* 0x46933e94 */
@@ -365,11 +283,7 @@ static float qS5[6] = {
  -5.3543427734e+03, /* 0xc5a752be */
 };
 
-#ifdef __STDC__
 static const float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
-#else
-static float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
-#endif
   4.3774099900e-09, /* 0x3196681b */
   7.3241114616e-02, /* 0x3d95ff70 */
   3.3442313671e+00, /* 0x405607e3 */
@@ -377,11 +291,7 @@ static float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
   1.7080809021e+02, /* 0x432acedf */
   1.6673394775e+02, /* 0x4326bbe4 */
 };
-#ifdef __STDC__
 static const float qS3[6] = {
-#else
-static float qS3[6] = {
-#endif
   4.8758872986e+01, /* 0x42430916 */
   7.0968920898e+02, /* 0x44316c1c */
   3.7041481934e+03, /* 0x4567825f */
@@ -390,11 +300,7 @@ static float qS3[6] = {
  -1.4924745178e+02, /* 0xc3153f59 */
 };
 
-#ifdef __STDC__
 static const float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
-#else
-static float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
-#endif
   1.5044444979e-07, /* 0x342189db */
   7.3223426938e-02, /* 0x3d95f62a */
   1.9981917143e+00, /* 0x3fffc4bf */
@@ -402,11 +308,7 @@ static float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
   3.1666231155e+01, /* 0x41fd5471 */
   1.6252708435e+01, /* 0x4182058c */
 };
-#ifdef __STDC__
 static const float qS2[6] = {
-#else
-static float qS2[6] = {
-#endif
   3.0365585327e+01, /* 0x41f2ecb8 */
   2.6934811401e+02, /* 0x4386ac8f */
   8.4478375244e+02, /* 0x44533229 */
@@ -415,18 +317,10 @@ static float qS2[6] = {
  -5.3109550476e+00, /* 0xc0a9f358 */
 };
 
-#ifdef __STDC__
-	static float qzerof(float x)
-#else
-	static float qzerof(x)
-	float x;
-#endif
+static float
+qzerof(float x)
 {
-#ifdef __STDC__
 	const float *p,*q;
-#else
-	float *p,*q;
-#endif
 	float s,r,z;
 	int32_t ix;
 	GET_FLOAT_WORD(ix,x);