diff mbox series

[07/11] math: Split s_erfF in erff and erfc

Message ID 20241111134740.1410635-8-adhemerval.zanella@linaro.org
State Accepted
Commit c4c64ba5d10fecc3bb3749d72c69ce21fe0d0aaa
Headers show
Series Add more CORE-math implementations to libm | expand

Commit Message

Adhemerval Zanella Netto Nov. 11, 2024, 1:45 p.m. UTC
So we can eventually replace each implementation.
---
 math/Makefile                         |   1 +
 sysdeps/ieee754/dbl-64/s_erfc.c       |   1 +
 sysdeps/ieee754/float128/s_erfcf128.c |   1 +
 sysdeps/ieee754/flt-32/s_erfcf.c      | 173 ++++++++++++++++++++++++++
 sysdeps/ieee754/flt-32/s_erff.c       |  77 ------------
 sysdeps/ieee754/ldbl-128/s_erfcl.c    |   1 +
 sysdeps/ieee754/ldbl-128ibm/s_erfcl.c |   1 +
 sysdeps/ieee754/ldbl-96/s_erfcl.c     |   1 +
 8 files changed, 179 insertions(+), 77 deletions(-)
 create mode 100644 sysdeps/ieee754/dbl-64/s_erfc.c
 create mode 100644 sysdeps/ieee754/float128/s_erfcf128.c
 create mode 100644 sysdeps/ieee754/flt-32/s_erfcf.c
 create mode 100644 sysdeps/ieee754/ldbl-128/s_erfcl.c
 create mode 100644 sysdeps/ieee754/ldbl-128ibm/s_erfcl.c
 create mode 100644 sysdeps/ieee754/ldbl-96/s_erfcl.c
diff mbox series

Patch

diff --git a/math/Makefile b/math/Makefile
index b64c3eedd5..2d5e016496 100644
--- a/math/Makefile
+++ b/math/Makefile
@@ -201,6 +201,7 @@  libm-calls = \
   s_ceilF \
   s_cosF \
   s_erfF \
+  s_erfcF \
   s_expm1F \
   s_fabsF \
   s_floorF \
diff --git a/sysdeps/ieee754/dbl-64/s_erfc.c b/sysdeps/ieee754/dbl-64/s_erfc.c
new file mode 100644
index 0000000000..95d17c8c28
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_erfc.c
@@ -0,0 +1 @@ 
+/* Not required.  */
diff --git a/sysdeps/ieee754/float128/s_erfcf128.c b/sysdeps/ieee754/float128/s_erfcf128.c
new file mode 100644
index 0000000000..95d17c8c28
--- /dev/null
+++ b/sysdeps/ieee754/float128/s_erfcf128.c
@@ -0,0 +1 @@ 
+/* Not required.  */
diff --git a/sysdeps/ieee754/flt-32/s_erfcf.c b/sysdeps/ieee754/flt-32/s_erfcf.c
new file mode 100644
index 0000000000..fdba278eff
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_erfcf.c
@@ -0,0 +1,173 @@ 
+/* s_erfcf.c -- float version of s_erfc.c.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_erff.c,v 1.4 1995/05/10 20:47:07 jtc Exp $";
+#endif
+
+#include <errno.h>
+#include <fix-int-fp-convert-zero.h>
+#include <libm-alias-float.h>
+#include <math-narrow-eval.h>
+#include <math.h>
+#include <math_private.h>
+
+
+static const float
+tiny	    = 1e-30,
+half=  5.0000000000e-01, /* 0x3F000000 */
+one =  1.0000000000e+00, /* 0x3F800000 */
+two =  2.0000000000e+00, /* 0x40000000 */
+	/* c = (subfloat)0.84506291151 */
+erx =  8.4506291151e-01, /* 0x3f58560b */
+/*
+ * Coefficients for approximation to  erf on [0,0.84375]
+ */
+pp0  =  1.2837916613e-01, /* 0x3e0375d4 */
+pp1  = -3.2504209876e-01, /* 0xbea66beb */
+pp2  = -2.8481749818e-02, /* 0xbce9528f */
+pp3  = -5.7702702470e-03, /* 0xbbbd1489 */
+pp4  = -2.3763017452e-05, /* 0xb7c756b1 */
+qq1  =  3.9791721106e-01, /* 0x3ecbbbce */
+qq2  =  6.5022252500e-02, /* 0x3d852a63 */
+qq3  =  5.0813062117e-03, /* 0x3ba68116 */
+qq4  =  1.3249473704e-04, /* 0x390aee49 */
+qq5  = -3.9602282413e-06, /* 0xb684e21a */
+/*
+ * Coefficients for approximation to  erf  in [0.84375,1.25]
+ */
+pa0  = -2.3621185683e-03, /* 0xbb1acdc6 */
+pa1  =  4.1485610604e-01, /* 0x3ed46805 */
+pa2  = -3.7220788002e-01, /* 0xbebe9208 */
+pa3  =  3.1834661961e-01, /* 0x3ea2fe54 */
+pa4  = -1.1089469492e-01, /* 0xbde31cc2 */
+pa5  =  3.5478305072e-02, /* 0x3d1151b3 */
+pa6  = -2.1663755178e-03, /* 0xbb0df9c0 */
+qa1  =  1.0642088205e-01, /* 0x3dd9f331 */
+qa2  =  5.4039794207e-01, /* 0x3f0a5785 */
+qa3  =  7.1828655899e-02, /* 0x3d931ae7 */
+qa4  =  1.2617121637e-01, /* 0x3e013307 */
+qa5  =  1.3637083583e-02, /* 0x3c5f6e13 */
+qa6  =  1.1984500103e-02, /* 0x3c445aa3 */
+/*
+ * Coefficients for approximation to  erfc in [1.25,1/0.35]
+ */
+ra0  = -9.8649440333e-03, /* 0xbc21a093 */
+ra1  = -6.9385856390e-01, /* 0xbf31a0b7 */
+ra2  = -1.0558626175e+01, /* 0xc128f022 */
+ra3  = -6.2375331879e+01, /* 0xc2798057 */
+ra4  = -1.6239666748e+02, /* 0xc322658c */
+ra5  = -1.8460508728e+02, /* 0xc3389ae7 */
+ra6  = -8.1287437439e+01, /* 0xc2a2932b */
+ra7  = -9.8143291473e+00, /* 0xc11d077e */
+sa1  =  1.9651271820e+01, /* 0x419d35ce */
+sa2  =  1.3765776062e+02, /* 0x4309a863 */
+sa3  =  4.3456588745e+02, /* 0x43d9486f */
+sa4  =  6.4538726807e+02, /* 0x442158c9 */
+sa5  =  4.2900814819e+02, /* 0x43d6810b */
+sa6  =  1.0863500214e+02, /* 0x42d9451f */
+sa7  =  6.5702495575e+00, /* 0x40d23f7c */
+sa8  = -6.0424413532e-02, /* 0xbd777f97 */
+/*
+ * Coefficients for approximation to  erfc in [1/.35,28]
+ */
+rb0  = -9.8649431020e-03, /* 0xbc21a092 */
+rb1  = -7.9928326607e-01, /* 0xbf4c9dd4 */
+rb2  = -1.7757955551e+01, /* 0xc18e104b */
+rb3  = -1.6063638306e+02, /* 0xc320a2ea */
+rb4  = -6.3756646729e+02, /* 0xc41f6441 */
+rb5  = -1.0250950928e+03, /* 0xc480230b */
+rb6  = -4.8351919556e+02, /* 0xc3f1c275 */
+sb1  =  3.0338060379e+01, /* 0x41f2b459 */
+sb2  =  3.2579251099e+02, /* 0x43a2e571 */
+sb3  =  1.5367296143e+03, /* 0x44c01759 */
+sb4  =  3.1998581543e+03, /* 0x4547fdbb */
+sb5  =  2.5530502930e+03, /* 0x451f90ce */
+sb6  =  4.7452853394e+02, /* 0x43ed43a7 */
+sb7  = -2.2440952301e+01; /* 0xc1b38712 */
+
+float __erfcf(float x)
+{
+	int32_t hx,ix;
+	float R,S,P,Q,s,y,z,r;
+	GET_FLOAT_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if(ix>=0x7f800000) {			/* erfc(nan)=nan */
+						/* erfc(+-inf)=0,2 */
+	    float ret = (float)(((uint32_t)hx>>31)<<1)+one/x;
+	    if (FIX_INT_FP_CONVERT_ZERO && ret == 0.0f)
+	      return 0.0f;
+	    return ret;
+	}
+
+	if(ix < 0x3f580000) {		/* |x|<0.84375 */
+	    if(ix < 0x32800000)  	/* |x|<2**-26 */
+		return one-x;
+	    z = x*x;
+	    r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
+	    s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+	    y = r/s;
+	    if(hx < 0x3e800000) {  	/* x<1/4 */
+		return one-(x+x*y);
+	    } else {
+		r = x*y;
+		r += (x-half);
+	        return half - r ;
+	    }
+	}
+	if(ix < 0x3fa00000) {		/* 0.84375 <= |x| < 1.25 */
+	    s = fabsf(x)-one;
+	    P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
+	    Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+	    if(hx>=0) {
+	        z  = one-erx; return z - P/Q;
+	    } else {
+		z = erx+P/Q; return one+z;
+	    }
+	}
+	if (ix < 0x41e00000) {		/* |x|<28 */
+	    x = fabsf(x);
+	    s = one/(x*x);
+	    if(ix< 0x4036DB6D) {	/* |x| < 1/.35 ~ 2.857143*/
+	        R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
+				ra5+s*(ra6+s*ra7))))));
+	        S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
+				sa5+s*(sa6+s*(sa7+s*sa8)))))));
+	    } else {			/* |x| >= 1/.35 ~ 2.857143 */
+		if(hx<0&&ix>=0x40c00000) return two-tiny;/* x < -6 */
+	        R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
+				rb5+s*rb6)))));
+	        S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
+				sb5+s*(sb6+s*sb7))))));
+	    }
+	    GET_FLOAT_WORD(ix,x);
+	    SET_FLOAT_WORD(z,ix&0xffffe000);
+	    r  =  __ieee754_expf(-z*z-(float)0.5625)*
+			__ieee754_expf((z-x)*(z+x)+R/S);
+	    if(hx>0) {
+		float ret = math_narrow_eval (r/x);
+		if (ret == 0)
+		    __set_errno (ERANGE);
+		return ret;
+	    } else
+		return two-r/x;
+	} else {
+	    if(hx>0) {
+		__set_errno (ERANGE);
+		return tiny*tiny;
+	    } else
+		return two-tiny;
+	}
+}
+libm_alias_float (__erfc, erfc)
diff --git a/sysdeps/ieee754/flt-32/s_erff.c b/sysdeps/ieee754/flt-32/s_erff.c
index ba297342ea..6c541dba23 100644
--- a/sysdeps/ieee754/flt-32/s_erff.c
+++ b/sysdeps/ieee754/flt-32/s_erff.c
@@ -27,10 +27,7 @@  static char rcsid[] = "$NetBSD: s_erff.c,v 1.4 1995/05/10 20:47:07 jtc Exp $";
 
 static const float
 tiny	    = 1e-30,
-half=  5.0000000000e-01, /* 0x3F000000 */
 one =  1.0000000000e+00, /* 0x3F800000 */
-two =  2.0000000000e+00, /* 0x40000000 */
-	/* c = (subfloat)0.84506291151 */
 erx =  8.4506291151e-01, /* 0x3f58560b */
 /*
  * Coefficients for approximation to  erf on [0,0.84375]
@@ -156,77 +153,3 @@  float __erff(float x)
 }
 libm_alias_float (__erf, erf)
 
-float __erfcf(float x)
-{
-	int32_t hx,ix;
-	float R,S,P,Q,s,y,z,r;
-	GET_FLOAT_WORD(hx,x);
-	ix = hx&0x7fffffff;
-	if(ix>=0x7f800000) {			/* erfc(nan)=nan */
-						/* erfc(+-inf)=0,2 */
-	    float ret = (float)(((uint32_t)hx>>31)<<1)+one/x;
-	    if (FIX_INT_FP_CONVERT_ZERO && ret == 0.0f)
-	      return 0.0f;
-	    return ret;
-	}
-
-	if(ix < 0x3f580000) {		/* |x|<0.84375 */
-	    if(ix < 0x32800000)  	/* |x|<2**-26 */
-		return one-x;
-	    z = x*x;
-	    r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
-	    s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
-	    y = r/s;
-	    if(hx < 0x3e800000) {  	/* x<1/4 */
-		return one-(x+x*y);
-	    } else {
-		r = x*y;
-		r += (x-half);
-	        return half - r ;
-	    }
-	}
-	if(ix < 0x3fa00000) {		/* 0.84375 <= |x| < 1.25 */
-	    s = fabsf(x)-one;
-	    P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
-	    Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
-	    if(hx>=0) {
-	        z  = one-erx; return z - P/Q;
-	    } else {
-		z = erx+P/Q; return one+z;
-	    }
-	}
-	if (ix < 0x41e00000) {		/* |x|<28 */
-	    x = fabsf(x);
- 	    s = one/(x*x);
-	    if(ix< 0x4036DB6D) {	/* |x| < 1/.35 ~ 2.857143*/
-	        R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
-				ra5+s*(ra6+s*ra7))))));
-	        S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
-				sa5+s*(sa6+s*(sa7+s*sa8)))))));
-	    } else {			/* |x| >= 1/.35 ~ 2.857143 */
-		if(hx<0&&ix>=0x40c00000) return two-tiny;/* x < -6 */
-	        R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
-				rb5+s*rb6)))));
-	        S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
-				sb5+s*(sb6+s*sb7))))));
-	    }
-	    GET_FLOAT_WORD(ix,x);
-	    SET_FLOAT_WORD(z,ix&0xffffe000);
-	    r  =  __ieee754_expf(-z*z-(float)0.5625)*
-			__ieee754_expf((z-x)*(z+x)+R/S);
-	    if(hx>0) {
-		float ret = math_narrow_eval (r/x);
-		if (ret == 0)
-		    __set_errno (ERANGE);
-		return ret;
-	    } else
-		return two-r/x;
-	} else {
-	    if(hx>0) {
-		__set_errno (ERANGE);
-		return tiny*tiny;
-	    } else
-		return two-tiny;
-	}
-}
-libm_alias_float (__erfc, erfc)
diff --git a/sysdeps/ieee754/ldbl-128/s_erfcl.c b/sysdeps/ieee754/ldbl-128/s_erfcl.c
new file mode 100644
index 0000000000..95d17c8c28
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_erfcl.c
@@ -0,0 +1 @@ 
+/* Not required.  */
diff --git a/sysdeps/ieee754/ldbl-128ibm/s_erfcl.c b/sysdeps/ieee754/ldbl-128ibm/s_erfcl.c
new file mode 100644
index 0000000000..95d17c8c28
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128ibm/s_erfcl.c
@@ -0,0 +1 @@ 
+/* Not required.  */
diff --git a/sysdeps/ieee754/ldbl-96/s_erfcl.c b/sysdeps/ieee754/ldbl-96/s_erfcl.c
new file mode 100644
index 0000000000..95d17c8c28
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_erfcl.c
@@ -0,0 +1 @@ 
+/* Not required.  */