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code cleanup of named constants

zero, one, two, half are replaced by const literals
The policy was to use the f suffix for float consts (1.0f),
but don't use suffix for long double consts (these consts
can be exactly represented as double).
nsz 13 years ago
parent
commit
0cbb654791
73 changed files with 513 additions and 623 deletions
  1. 2 3
      src/math/__cos.c
  2. 1 2
      src/math/__cosdf.c
  3. 2 4
      src/math/__cosl.c
  4. 1 2
      src/math/__rem_pio2.c
  5. 5 7
      src/math/__rem_pio2_large.c
  6. 1 2
      src/math/__rem_pio2l.c
  7. 1 2
      src/math/__sin.c
  8. 1 3
      src/math/__sinl.c
  9. 3 7
      src/math/__tan.c
  10. 6 7
      src/math/acos.c
  11. 6 7
      src/math/acosf.c
  12. 2 3
      src/math/acosh.c
  13. 3 4
      src/math/acoshf.c
  14. 2 3
      src/math/acoshl.c
  15. 2 3
      src/math/acosl.c
  16. 4 5
      src/math/asin.c
  17. 4 5
      src/math/asinf.c
  18. 3 4
      src/math/asinh.c
  19. 3 4
      src/math/asinhf.c
  20. 3 4
      src/math/asinhl.c
  21. 3 5
      src/math/asinl.c
  22. 5 7
      src/math/atan.c
  23. 2 3
      src/math/atan2.c
  24. 2 3
      src/math/atan2f.c
  25. 2 3
      src/math/atan2l.c
  26. 5 7
      src/math/atanf.c
  27. 5 6
      src/math/atanh.c
  28. 5 6
      src/math/atanhf.c
  29. 5 5
      src/math/atanhl.c
  30. 5 7
      src/math/atanl.c
  31. 6 6
      src/math/cosh.c
  32. 7 7
      src/math/coshf.c
  33. 8 8
      src/math/coshl.c
  34. 27 30
      src/math/erf.c
  35. 27 30
      src/math/erff.c
  36. 25 29
      src/math/erfl.c
  37. 4 5
      src/math/exp.c
  38. 4 5
      src/math/expf.c
  39. 7 8
      src/math/expm1.c
  40. 7 8
      src/math/expm1f.c
  41. 18 21
      src/math/j0.c
  42. 18 21
      src/math/j0f.c
  43. 15 18
      src/math/j1.c
  44. 15 18
      src/math/j1f.c
  45. 14 19
      src/math/jn.c
  46. 13 19
      src/math/jnf.c
  47. 23 27
      src/math/lgamma_r.c
  48. 18 22
      src/math/lgammaf_r.c
  49. 22 26
      src/math/lgammal.c
  50. 4 6
      src/math/log.c
  51. 3 5
      src/math/log10.c
  52. 3 5
      src/math/log10f.c
  53. 4 6
      src/math/log1p.c
  54. 4 6
      src/math/log1pf.c
  55. 10 10
      src/math/log1pl.c
  56. 3 5
      src/math/log2.c
  57. 3 5
      src/math/log2f.c
  58. 4 6
      src/math/logf.c
  59. 1 3
      src/math/modf.c
  60. 17 20
      src/math/pow.c
  61. 14 17
      src/math/powf.c
  62. 1 1
      src/math/remquol.c
  63. 1 1
      src/math/rintl.c
  64. 1 1
      src/math/scalbnl.c
  65. 4 4
      src/math/sinh.c
  66. 4 4
      src/math/sinhf.c
  67. 4 4
      src/math/sinhl.c
  68. 5 5
      src/math/sqrt.c
  69. 5 5
      src/math/sqrtf.c
  70. 9 9
      src/math/tanh.c
  71. 11 9
      src/math/tanhf.c
  72. 9 9
      src/math/tanhl.c
  73. 17 17
      src/math/tgammal.c

+ 2 - 3
src/math/__cos.c

@@ -51,7 +51,6 @@
 #include "libm.h"
 
 static const double
-one =  1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
 C1  =  4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */
 C2  = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */
 C3  =  2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */
@@ -67,6 +66,6 @@ double __cos(double x, double y)
 	w  = z*z;
 	r  = z*(C1+z*(C2+z*C3)) + w*w*(C4+z*(C5+z*C6));
 	hz = 0.5*z;
-	w  = one-hz;
-	return w + (((one-w)-hz) + (z*r-x*y));
+	w  = 1.0-hz;
+	return w + (((1.0-w)-hz) + (z*r-x*y));
 }

+ 1 - 2
src/math/__cosdf.c

@@ -18,7 +18,6 @@
 
 /* |cos(x) - c(x)| < 2**-34.1 (~[-5.37e-11, 5.295e-11]). */
 static const double
-one =  1.0,
 C0  = -0x1ffffffd0c5e81.0p-54, /* -0.499999997251031003120 */
 C1  =  0x155553e1053a42.0p-57, /*  0.0416666233237390631894 */
 C2  = -0x16c087e80f1e27.0p-62, /* -0.00138867637746099294692 */
@@ -32,5 +31,5 @@ float __cosdf(double x)
 	z = x*x;
 	w = z*z;
 	r = C2+z*C3;
-	return ((one+z*C0) + w*C1) + (w*z)*r;
+	return ((1.0+z*C0) + w*C1) + (w*z)*r;
 }

+ 2 - 4
src/math/__cosl.c

@@ -41,8 +41,6 @@
  * almost for free from the complications needed to search for the best
  * higher coefficients.
  */
-static const double one = 1.0;
-
 static const long double
 C1 =  0.0416666666666666666136L;        /*  0xaaaaaaaaaaaaaa9b.0p-68 */
 
@@ -61,7 +59,7 @@ long double __cosl(long double x, long double y)
 	z  = x*x;
 	r  = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*(C6+z*C7))))));
 	hz = 0.5*z;
-	w  = one-hz;
-	return w + (((one-w)-hz) + (z*r-x*y));
+	w  = 1.0-hz;
+	return w + (((1.0-w)-hz) + (z*r-x*y));
 }
 #endif

+ 1 - 2
src/math/__rem_pio2.c

@@ -29,7 +29,6 @@
  * pio2_3t:  pi/2 - (pio2_1+pio2_2+pio2_3)
  */
 static const double
-zero    = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
 two24   = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
 invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
 pio2_1  = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
@@ -163,7 +162,7 @@ medium:
 	}
 	tx[2] = z;
 	nx = 3;
-	while (tx[nx-1] == zero) nx--;  /* skip zero term */
+	while (tx[nx-1] == 0.0) nx--;  /* skip zero term */
 	n = __rem_pio2_large(tx,ty,e0,nx,1);
 	if (hx < 0) {
 		y[0] = -ty[0];

+ 5 - 7
src/math/__rem_pio2_large.c

@@ -271,8 +271,6 @@ static const double PIo2[] = {
 };
 
 static const double
-zero   = 0.0,
-one    = 1.0,
 two24  = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
 twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */
 
@@ -293,7 +291,7 @@ int __rem_pio2_large(double *x, double *y, int e0, int nx, int prec)
 	/* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */
 	j = jv-jx; m = jx+jk;
 	for (i=0; i<=m; i++,j++)
-		f[i] = j<0 ? zero : (double)ipio2[j];
+		f[i] = j<0 ? 0.0 : (double)ipio2[j];
 
 	/* compute q[0],q[1],...q[jk] */
 	for (i=0; i<=jk; i++) {
@@ -346,14 +344,14 @@ recompute:
 			}
 		}
 		if (ih == 2) {
-			z = one - z;
+			z = 1.0 - z;
 			if (carry != 0)
-				z -= scalbn(one,q0);
+				z -= scalbn(1.0,q0);
 		}
 	}
 
 	/* check if recomputation is needed */
-	if (z == zero) {
+	if (z == 0.0) {
 		j = 0;
 		for (i=jz-1; i>=jk; i--) j |= iq[i];
 		if (j == 0) {  /* need recomputation */
@@ -391,7 +389,7 @@ recompute:
 	}
 
 	/* convert integer "bit" chunk to floating-point value */
-	fw = scalbn(one,q0);
+	fw = scalbn(1.0,q0);
 	for (i=jz; i>=0; i--) {
 		q[i] = fw*(double)iq[i];
 		fw *= twon24;

+ 1 - 2
src/math/__rem_pio2l.c

@@ -32,7 +32,6 @@
  * pio2_3t:  pi/2 - (pio2_1+pio2_2+pio2_3)
  */
 static const double
-zero   =  0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
 two24  =  1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
 pio2_1 =  1.57079632679597125389e+00, /* 0x3FF921FB, 0x54444000 */
 pio2_2 = -1.07463465549783099519e-12, /* -0x12e7b967674000.0p-92 */
@@ -114,7 +113,7 @@ int __rem_pio2l(long double x, long double *y)
 	}
 	tx[2] = z;
 	nx = 3;
-	while (tx[nx-1] == zero)
+	while (tx[nx-1] == 0.0)
 		nx--;     /* skip zero term */
 	n = __rem_pio2_large(tx,ty,e0,nx,2);
 	r = (long double)ty[0] + ty[1];

+ 1 - 2
src/math/__sin.c

@@ -42,7 +42,6 @@
 #include "libm.h"
 
 static const double
-half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
 S1  = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */
 S2  =  8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */
 S3  = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */
@@ -61,5 +60,5 @@ double __sin(double x, double y, int iy)
 	if (iy == 0)
 		return x + v*(S1 + z*r);
 	else
-		return x - ((z*(half*y - v*r) - y) - v*S1);
+		return x - ((z*(0.5*y - v*r) - y) - v*S1);
 }

+ 1 - 3
src/math/__sinl.c

@@ -24,8 +24,6 @@
  * See __cosl.c for more details about the polynomial.
  */
 
-static const double half = 0.5;
-
 static const long double
 S1 = -0.166666666666666666671L;   /* -0xaaaaaaaaaaaaaaab.0p-66 */
 
@@ -47,6 +45,6 @@ long double __sinl(long double x, long double y, int iy)
 	r = S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*S8)))));
 	if (iy == 0)
 		return x+v*(S1+z*r);
-	return x-((z*(half*y-v*r)-y)-v*S1);
+	return x-((z*(0.5*y-v*r)-y)-v*S1);
 }
 #endif

+ 3 - 7
src/math/__tan.c

@@ -59,13 +59,9 @@ static const double T[] = {
              7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */
             -1.85586374855275456654e-05, /* BEF375CB, DB605373 */
              2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */
-/* one */    1.00000000000000000000e+00, /* 3FF00000, 00000000 */
-/* pio4 */   7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */
-/* pio4lo */ 3.06161699786838301793e-17  /* 3C81A626, 33145C07 */
-};
-#define one     T[13]
-#define pio4    T[14]
-#define pio4lo  T[15]
+},
+pio4 =       7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */
+pio4lo =     3.06161699786838301793e-17; /* 3C81A626, 33145C07 */
 
 double __tan(double x, double y, int iy)
 {

+ 6 - 7
src/math/acos.c

@@ -36,8 +36,7 @@
 #include "libm.h"
 
 static const double
-one =  1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
-pi  =  3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+pi      = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
 pio2_hi = 1.57079632679489655800e+00; /* 0x3FF921FB, 0x54442D18 */
 static const volatile double
 pio2_lo = 6.12323399573676603587e-17; /* 0x3C91A626, 0x33145C07 */
@@ -75,25 +74,25 @@ double acos(double x)
 			return pio2_hi + pio2_lo;
 		z = x*x;
 		p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
-		q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+		q = 1.0+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
 		r = p/q;
 		return pio2_hi - (x - (pio2_lo-x*r));
 	} else if (hx < 0) {     /* x < -0.5 */
-		z = (one+x)*0.5;
+		z = (1.0+x)*0.5;
 		p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
-		q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+		q = 1.0+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
 		s = sqrt(z);
 		r = p/q;
 		w = r*s-pio2_lo;
 		return pi - 2.0*(s+w);
 	} else {                 /* x > 0.5 */
-		z = (one-x)*0.5;
+		z = (1.0-x)*0.5;
 		s = sqrt(z);
 		df = s;
 		SET_LOW_WORD(df,0);
 		c  = (z-df*df)/(s+df);
 		p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
-		q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+		q = 1.0+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
 		r = p/q;
 		w = r*s+c;
 		return 2.0*(df+w);

+ 6 - 7
src/math/acosf.c

@@ -16,8 +16,7 @@
 #include "libm.h"
 
 static const float
-one = 1.0000000000e+00, /* 0x3F800000 */
-pi  = 3.1415925026e+00, /* 0x40490fda */
+pi      = 3.1415925026e+00, /* 0x40490fda */
 pio2_hi = 1.5707962513e+00; /* 0x3fc90fda */
 static const volatile float
 pio2_lo = 7.5497894159e-08; /* 0x33a22168 */
@@ -46,13 +45,13 @@ float acosf(float x)
 			return pio2_hi + pio2_lo;
 		z = x*x;
 		p = z*(pS0+z*(pS1+z*pS2));
-		q = one+z*qS1;
+		q = 1.0f+z*qS1;
 		r = p/q;
 		return pio2_hi - (x - (pio2_lo-x*r));
 	} else if (hx < 0) {     /* x < -0.5 */
-		z = (one+x)*0.5f;
+		z = (1.0f+x)*0.5f;
 		p = z*(pS0+z*(pS1+z*pS2));
-		q = one+z*qS1;
+		q = 1.0f+z*qS1;
 		s = sqrtf(z);
 		r = p/q;
 		w = r*s-pio2_lo;
@@ -60,14 +59,14 @@ float acosf(float x)
 	} else {                 /* x > 0.5 */
 		int32_t idf;
 
-		z = (one-x)*0.5f;
+		z = (1.0f-x)*0.5f;
 		s = sqrtf(z);
 		df = s;
 		GET_FLOAT_WORD(idf,df);
 		SET_FLOAT_WORD(df,idf&0xfffff000);
 		c  = (z-df*df)/(s+df);
 		p = z*(pS0+z*(pS1+z*pS2));
-		q = one+z*qS1;
+		q = 1.0f+z*qS1;
 		r = p/q;
 		w = r*s+c;
 		return 2.0f*(df+w);

+ 2 - 3
src/math/acosh.c

@@ -27,7 +27,6 @@
 #include "libm.h"
 
 static const double
-one = 1.0,
 ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */
 
 double acosh(double x)
@@ -47,9 +46,9 @@ double acosh(double x)
 		return 0.0;            /* acosh(1) = 0 */
 	} else if (hx > 0x40000000) {  /* 2**28 > x > 2 */
 		t = x*x;
-		return log(2.0*x - one/(x+sqrt(t-one)));
+		return log(2.0*x - 1.0/(x+sqrt(t-1.0)));
 	} else {                /* 1 < x < 2 */
-		t = x-one;
+		t = x-1.0;
 		return log1p(t + sqrt(2.0*t+t*t));
 	}
 }

+ 3 - 4
src/math/acoshf.c

@@ -16,7 +16,6 @@
 #include "libm.h"
 
 static const float
-one = 1.0,
 ln2 = 6.9314718246e-01; /* 0x3f317218 */
 
 float acoshf(float x)
@@ -32,12 +31,12 @@ float acoshf(float x)
 			return x + x;
 		return logf(x) + ln2;  /* acosh(huge)=log(2x) */
 	} else if (hx == 0x3f800000) {
-		return 0.0;  /* acosh(1) = 0 */
+		return 0.0f;  /* acosh(1) = 0 */
 	} else if (hx > 0x40000000) {  /* 2**28 > x > 2 */
 		t = x*x;
-		return logf(2.0f*x - one/(x+sqrtf(t-one)));
+		return logf(2.0f*x - 1.0f/(x+sqrtf(t-1.0f)));
 	} else {                /* 1 < x < 2 */
-		t = x-one;
+		t = x-1.0f;
 		return log1pf(t + sqrtf(2.0f*t+t*t));
 	}
 }

+ 2 - 3
src/math/acoshl.c

@@ -32,7 +32,6 @@ long double acoshl(long double x)
 }
 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
 static const long double
-one = 1.0,
 ln2 = 6.931471805599453094287e-01L; /* 0x3FFE, 0xB17217F7, 0xD1CF79AC */
 
 long double acoshl(long double x)
@@ -51,10 +50,10 @@ long double acoshl(long double x)
 		return 0.0;            /* acosh(1) = 0 */
 	} else if (se > 0x4000) {  /* x > 2 */
 		t = x*x;
-		return logl(2.0*x - one/(x + sqrtl(t - one)));
+		return logl(2.0*x - 1.0/(x + sqrtl(t - 1.0)));
 	}
 	/* 1 < x <= 2 */
-	t = x - one;
+	t = x - 1.0;
 	return log1pl(t + sqrtl(2.0*t + t*t));
 }
 #endif

+ 2 - 3
src/math/acosl.c

@@ -25,7 +25,6 @@ long double acosl(long double x)
 #include "__invtrigl.h"
 
 static const long double
-one = 1.00000000000000000000e+00,
 pi = 3.14159265358979323846264338327950280e+00L;
 
 long double acosl(long double x)
@@ -55,7 +54,7 @@ long double acosl(long double x)
 		r = p / q;
 		return pio2_hi - (x - (pio2_lo - x * r));
 	} else if (expsign < 0) {  /* x < -0.5 */
-		z = (one + x) * 0.5;
+		z = (1.0 + x) * 0.5;
 		p = P(z);
 		q = Q(z);
 		s = sqrtl(z);
@@ -63,7 +62,7 @@ long double acosl(long double x)
 		w = r * s - pio2_lo;
 		return pi - 2.0 * (s + w);
 	} else {                   /* x > 0.5 */
-		z = (one - x) * 0.5;
+		z = (1.0 - x) * 0.5;
 		s = sqrtl(z);
 		u.e = s;
 		u.bits.manl = 0;

+ 4 - 5
src/math/asin.c

@@ -42,7 +42,6 @@
 #include "libm.h"
 
 static const double
-one =  1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
 huge = 1.000e+300,
 pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
 pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
@@ -76,20 +75,20 @@ double asin(double x)
 		return (x-x)/(x-x);  /* asin(|x|>1) is NaN */
 	} else if (ix < 0x3fe00000) {  /* |x|<0.5 */
 		if (ix < 0x3e500000) {  /* if |x| < 2**-26 */
-			if (huge+x > one)
+			if (huge+x > 1.0)
 				return x; /* return x with inexact if x!=0*/
 		}
 		t = x*x;
 		p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
-		q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+		q = 1.0+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
 		w = p/q;
 		return x + x*w;
 	}
 	/* 1 > |x| >= 0.5 */
-	w = one - fabs(x);
+	w = 1.0 - fabs(x);
 	t = w*0.5;
 	p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
-	q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+	q = 1.0+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
 	s = sqrt(t);
 	if (ix >= 0x3FEF3333) {  /* if |x| > 0.975 */
 		w = p/q;

+ 4 - 5
src/math/asinf.c

@@ -16,7 +16,6 @@
 #include "libm.h"
 
 static const float
-one =  1.0000000000e+00, /* 0x3F800000 */
 huge = 1.000e+30,
 /* coefficients for R(x^2) */
 pS0 =  1.6666586697e-01,
@@ -41,20 +40,20 @@ float asinf(float x)
 		return (x-x)/(x-x);  /* asin(|x|>1) is NaN */
 	} else if (ix < 0x3f000000) {  /* |x|<0.5 */
 		if (ix < 0x39800000) {  /* |x| < 2**-12 */
-			if (huge+x > one)
+			if (huge+x > 1.0f)
 				return x; /* return x with inexact if x!=0 */
 		}
 		t = x*x;
 		p = t*(pS0+t*(pS1+t*pS2));
-		q = one+t*qS1;
+		q = 1.0f+t*qS1;
 		w = p/q;
 		return x + x*w;
 	}
 	/* 1 > |x| >= 0.5 */
-	w = one - fabsf(x);
+	w = 1.0f - fabsf(x);
 	t = w*0.5f;
 	p = t*(pS0+t*(pS1+t*pS2));
-	q = one+t*qS1;
+	q = 1.0f+t*qS1;
 	s = sqrt(t);
 	w = p/q;
 	t = pio2-2.0*(s+s*w);

+ 3 - 4
src/math/asinh.c

@@ -23,7 +23,6 @@
 #include "libm.h"
 
 static const double
-one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
 ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
 huge= 1.00000000000000000000e+300;
 
@@ -38,17 +37,17 @@ double asinh(double x)
 		return x+x;
 	if (ix < 0x3e300000) {  /* |x| < 2**-28 */
 		/* return x inexact except 0 */
-		if (huge+x > one)
+		if (huge+x > 1.0)
 			return x;
 	}
 	if (ix > 0x41b00000) {  /* |x| > 2**28 */
 		w = log(fabs(x)) + ln2;
 	} else if (ix > 0x40000000) {  /* 2**28 > |x| > 2.0 */
 		t = fabs(x);
-		w = log(2.0*t + one/(sqrt(x*x+one)+t));
+		w = log(2.0*t + 1.0/(sqrt(x*x+1.0)+t));
 	} else {                /* 2.0 > |x| > 2**-28 */
 		t = x*x;
-		w =log1p(fabs(x) + t/(one+sqrt(one+t)));
+		w =log1p(fabs(x) + t/(1.0+sqrt(1.0+t)));
 	}
 	if (hx > 0)
 		return w;

+ 3 - 4
src/math/asinhf.c

@@ -16,7 +16,6 @@
 #include "libm.h"
 
 static const float
-one = 1.0000000000e+00, /* 0x3F800000 */
 ln2 = 6.9314718246e-01, /* 0x3f317218 */
 huge= 1.0000000000e+30;
 
@@ -31,17 +30,17 @@ float asinhf(float x)
 		return x+x;
 	if (ix < 0x31800000) {  /* |x| < 2**-28 */
 		/* return x inexact except 0 */
-		if (huge+x > one)
+		if (huge+x > 1.0f)
 			return x;
 	}
 	if (ix > 0x4d800000) {  /* |x| > 2**28 */
 		w = logf(fabsf(x)) + ln2;
 	} else if (ix > 0x40000000) {  /* 2**28 > |x| > 2.0 */
 		t = fabsf(x);
-		w = logf(2.0f*t + one/(sqrtf(x*x+one)+t));
+		w = logf(2.0f*t + 1.0f/(sqrtf(x*x+1.0f)+t));
 	} else {                /* 2.0 > |x| > 2**-28 */
 		t = x*x;
-		w =log1pf(fabsf(x) + t/(one+sqrtf(one+t)));
+		w =log1pf(fabsf(x) + t/(1.0f+sqrtf(1.0f+t)));
 	}
 	if (hx > 0)
 		return w;

+ 3 - 4
src/math/asinhl.c

@@ -29,7 +29,6 @@ long double asinhl(long double x)
 }
 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
 static const long double
-one  = 1.000000000000000000000e+00L, /* 0x3FFF, 0x00000000, 0x00000000 */
 ln2  = 6.931471805599453094287e-01L, /* 0x3FFE, 0xB17217F7, 0xD1CF79AC */
 huge = 1.000000000000000000e+4900L;
 
@@ -44,17 +43,17 @@ long double asinhl(long double x)
 		return x + x;   /* x is inf or NaN */
 	if (ix < 0x3fde) {      /* |x| < 2**-34 */
 		/* return x, raise inexact if x != 0 */
-		if (huge+x > one)
+		if (huge+x > 1.0)
 			return x;
 	}
 	if (ix > 0x4020) {      /* |x| > 2**34 */
 		w = logl(fabsl(x)) + ln2;
 	} else if (ix > 0x4000) { /* 2**34 > |x| > 2.0 */
 		t = fabsl(x);
-		w = logl(2.0*t + one/(sqrtl(x*x + one) + t));
+		w = logl(2.0*t + 1.0/(sqrtl(x*x + 1.0) + t));
 	} else {                /* 2.0 > |x| > 2**-28 */
 		t = x*x;
-		w =log1pl(fabsl(x) + t/(one + sqrtl(one + t)));
+		w =log1pl(fabsl(x) + t/(1.0 + sqrtl(1.0 + t)));
 	}
 	if (hx & 0x8000)
 		return -w;

+ 3 - 5
src/math/asinl.c

@@ -23,9 +23,7 @@ long double asinl(long double x)
 }
 #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
 #include "__invtrigl.h"
-static const long double
-one = 1.00000000000000000000e+00,
-huge = 1.000e+300;
+static const long double huge = 1.000e+300;
 
 long double asinl(long double x)
 {
@@ -45,7 +43,7 @@ long double asinl(long double x)
 	} else if (expt < BIAS-1) {  /* |x|<0.5 */
 		if (expt < ASIN_LINEAR) {  /* if |x| is small, asinl(x)=x */
 			/* return x with inexact if x!=0 */
-			if (huge+x > one)
+			if (huge+x > 1.0)
 				return x;
 		}
 		t = x*x;
@@ -55,7 +53,7 @@ long double asinl(long double x)
 		return x + x*w;
 	}
 	/* 1 > |x| >= 0.5 */
-	w = one - fabsl(x);
+	w = 1.0 - fabsl(x);
 	t = w*0.5;
 	p = P(t);
 	q = Q(t);

+ 5 - 7
src/math/atan.c

@@ -60,9 +60,7 @@ static const double aT[] = {
   1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */
 };
 
-static const double
-one = 1.0,
-huge = 1.0e300;
+static const double huge = 1.0e300;
 
 double atan(double x)
 {
@@ -86,7 +84,7 @@ double atan(double x)
 	if (ix < 0x3fdc0000) {    /* |x| < 0.4375 */
 		if (ix < 0x3e400000) {  /* |x| < 2^-27 */
 			/* raise inexact */
-			if (huge+x > one)
+			if (huge+x > 1.0)
 				return x;
 		}
 		id = -1;
@@ -95,15 +93,15 @@ double atan(double x)
 		if (ix < 0x3ff30000) {  /* |x| < 1.1875 */
 			if (ix < 0x3fe60000) {  /*  7/16 <= |x| < 11/16 */
 				id = 0;
-				x = (2.0*x-one)/(2.0+x);
+				x = (2.0*x-1.0)/(2.0+x);
 			} else {                /* 11/16 <= |x| < 19/16 */
 				id = 1;
-				x = (x-one)/(x+one);
+				x = (x-1.0)/(x+1.0);
 			}
 		} else {
 			if (ix < 0x40038000) {  /* |x| < 2.4375 */
 				id = 2;
-				x = (x-1.5)/(one+1.5*x);
+				x = (x-1.5)/(1.0+1.5*x);
 			} else {                /* 2.4375 <= |x| < 2^66 */
 				id = 3;
 				x = -1.0/x;

+ 2 - 3
src/math/atan2.c

@@ -42,7 +42,6 @@
 static const volatile double
 tiny  = 1.0e-300;
 static const double
-zero  = 0.0,
 pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */
 pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */
 pi     = 3.1415926535897931160E+00; /* 0x400921FB, 0x54442D18 */
@@ -89,8 +88,8 @@ double atan2(double y, double x)
 			}
 		} else {
 			switch(m) {
-			case 0: return  zero;    /* atan(+...,+INF) */
-			case 1: return -zero;    /* atan(-...,+INF) */
+			case 0: return  0.0;     /* atan(+...,+INF) */
+			case 1: return -0.0;     /* atan(-...,+INF) */
 			case 2: return  pi+tiny; /* atan(+...,-INF) */
 			case 3: return -pi-tiny; /* atan(-...,-INF) */
 			}

+ 2 - 3
src/math/atan2f.c

@@ -18,7 +18,6 @@
 static const volatile float
 tiny = 1.0e-30;
 static const float
-zero = 0.0,
 pi_o_4 = 7.8539818525e-01, /* 0x3f490fdb */
 pi_o_2 = 1.5707963705e+00, /* 0x3fc90fdb */
 pi     = 3.1415927410e+00; /* 0x40490fdb */
@@ -63,8 +62,8 @@ float atan2f(float y, float x)
 			}
 		} else {
 			switch (m) {
-			case 0: return  zero;    /* atan(+...,+INF) */
-			case 1: return -zero;    /* atan(-...,+INF) */
+			case 0: return  0.0f;    /* atan(+...,+INF) */
+			case 1: return -0.0f;    /* atan(-...,+INF) */
 			case 2: return  pi+tiny; /* atan(+...,-INF) */
 			case 3: return -pi-tiny; /* atan(-...,-INF) */
 			}

+ 2 - 3
src/math/atan2l.c

@@ -27,7 +27,6 @@ long double atan2l(long double y, long double x)
 static const volatile long double
 tiny = 1.0e-300;
 static const long double
-zero = 0.0,
 pi = 3.14159265358979323846264338327950280e+00L;
 
 long double atan2l(long double y, long double x)
@@ -75,8 +74,8 @@ long double atan2l(long double y, long double x)
 			}
 		} else {
 			switch(m) {
-			case 0: return  zero;    /* atan(+...,+INF) */
-			case 1: return -zero;    /* atan(-...,+INF) */
+			case 0: return  0.0;     /* atan(+...,+INF) */
+			case 1: return -0.0;     /* atan(-...,+INF) */
 			case 2: return  pi+tiny; /* atan(+...,-INF) */
 			case 3: return -pi-tiny; /* atan(-...,-INF) */
 			}

+ 5 - 7
src/math/atanf.c

@@ -38,9 +38,7 @@ static const float aT[] = {
   6.1687607318e-02,
 };
 
-static const float
-one = 1.0,
-huge = 1.0e30;
+static const float huge = 1.0e30;
 
 float atanf(float x)
 {
@@ -60,7 +58,7 @@ float atanf(float x)
 	if (ix < 0x3ee00000) {   /* |x| < 0.4375 */
 		if (ix < 0x39800000) {  /* |x| < 2**-12 */
 			/* raise inexact */
-			if(huge+x>one)
+			if(huge+x>1.0f)
 				return x;
 		}
 		id = -1;
@@ -69,15 +67,15 @@ float atanf(float x)
 		if (ix < 0x3f980000) {  /* |x| < 1.1875 */
 			if (ix < 0x3f300000) {  /*  7/16 <= |x| < 11/16 */
 				id = 0;
-				x = (2.0f*x - one)/(2.0f + x);
+				x = (2.0f*x - 1.0f)/(2.0f + x);
 			} else {                /* 11/16 <= |x| < 19/16 */
 				id = 1;
-				x = (x - one)/(x + one);
+				x = (x - 1.0f)/(x + 1.0f);
 			}
 		} else {
 			if (ix < 0x401c0000) {  /* |x| < 2.4375 */
 				id = 2;
-				x = (x - 1.5f)/(one + 1.5f*x);
+				x = (x - 1.5f)/(1.0f + 1.5f*x);
 			} else {                /* 2.4375 <= |x| < 2**26 */
 				id = 3;
 				x = -1.0f/x;

+ 5 - 6
src/math/atanh.c

@@ -30,8 +30,7 @@
 
 #include "libm.h"
 
-static const double one = 1.0, huge = 1e300;
-static const double zero = 0.0;
+static const double huge = 1e300;
 
 double atanh(double x)
 {
@@ -44,15 +43,15 @@ double atanh(double x)
 	if ((ix | ((lx|-lx)>>31)) > 0x3ff00000)  /* |x| > 1 */
 		return (x-x)/(x-x);
 	if (ix == 0x3ff00000)
-		return x/zero;
-	if (ix < 0x3e300000 && (huge+x) > zero)  /* x < 2**-28 */
+		return x/0.0;
+	if (ix < 0x3e300000 && (huge+x) > 0.0)   /* x < 2**-28 */
 		return x;
 	SET_HIGH_WORD(x, ix);
 	if (ix < 0x3fe00000) {                   /* x < 0.5 */
 		t = x+x;
-		t = 0.5*log1p(t + t*x/(one-x));
+		t = 0.5*log1p(t + t*x/(1.0-x));
 	} else
-		t = 0.5*log1p((x+x)/(one-x));
+		t = 0.5*log1p((x+x)/(1.0-x));
 	if (hx >= 0)
 		return t;
 	return -t;

+ 5 - 6
src/math/atanhf.c

@@ -15,8 +15,7 @@
 
 #include "libm.h"
 
-static const float one = 1.0, huge = 1e30;
-static const float zero = 0.0;
+static const float huge = 1e30;
 
 float atanhf(float x)
 {
@@ -28,15 +27,15 @@ float atanhf(float x)
 	if (ix > 0x3f800000)                   /* |x| > 1 */
 		return (x-x)/(x-x);
 	if (ix == 0x3f800000)
-		return x/zero;
-	if (ix < 0x31800000 && huge+x > zero)  /* x < 2**-28 */
+		return x/0.0f;
+	if (ix < 0x31800000 && huge+x > 0.0f)  /* x < 2**-28 */
 		return x;
 	SET_FLOAT_WORD(x, ix);
 	if (ix < 0x3f000000) {                 /* x < 0.5 */
 		t = x+x;
-		t = 0.5f*log1pf(t + t*x/(one-x));
+		t = 0.5f*log1pf(t + t*x/(1.0f-x));
 	} else
-		t = 0.5f*log1pf((x+x)/(one-x));
+		t = 0.5f*log1pf((x+x)/(1.0f-x));
 	if (hx >= 0)
 		return t;
 	return -t;

+ 5 - 5
src/math/atanhl.c

@@ -34,7 +34,7 @@ long double atanhl(long double x)
 	return atanh(x);
 }
 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
-static const long double zero = 0.0, one = 1.0, huge = 1e4900L;
+static const long double huge = 1e4900L;
 
 long double atanhl(long double x)
 {
@@ -48,15 +48,15 @@ long double atanhl(long double x)
 		/* |x| > 1 */
 		return (x-x)/(x-x);
 	if (ix == 0x3fff)
-		return x/zero;
-	if (ix < 0x3fe3 && huge+x > zero)  /* x < 2**-28 */
+		return x/0.0;
+	if (ix < 0x3fe3 && huge+x > 0.0)  /* x < 2**-28 */
 		return x;
 	SET_LDOUBLE_EXP(x, ix);
 	if (ix < 0x3ffe) {  /* x < 0.5 */
 		t = x + x;
-		t = 0.5*log1pl(t + t*x/(one-x));
+		t = 0.5*log1pl(t + t*x/(1.0 - x));
 	} else
-		t = 0.5*log1pl((x + x)/(one - x));
+		t = 0.5*log1pl((x + x)/(1.0 - x));
 	if (se <= 0x7fff)
 		return t;
 	return -t;

+ 5 - 7
src/math/atanl.c

@@ -23,9 +23,7 @@ long double atanl(long double x)
 }
 #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
 #include "__invtrigl.h"
-static const long double
-one = 1.0,
-huge = 1.0e300;
+static const long double huge = 1.0e300;
 
 long double atanl(long double x)
 {
@@ -53,7 +51,7 @@ long double atanl(long double x)
 	if (expman < ((BIAS - 2) << 8) + 0xc0) {  /* |x| < 0.4375 */
 		if (expt < ATAN_LINEAR) {   /* if |x| is small, atanl(x)~=x */
 			/* raise inexact */
-			if (huge+x > one)
+			if (huge+x > 1.0)
 				return x;
 		}
 		id = -1;
@@ -62,15 +60,15 @@ long double atanl(long double x)
 		if (expman < (BIAS << 8) + 0x30) {  /* |x| < 1.1875 */
 			if (expman < ((BIAS - 1) << 8) + 0x60) { /*  7/16 <= |x| < 11/16 */
 				id = 0;
-				x = (2.0*x-one)/(2.0+x);
+				x = (2.0*x-1.0)/(2.0+x);
 			} else {                                 /* 11/16 <= |x| < 19/16 */
 				id = 1;
-				x = (x-one)/(x+one);
+				x = (x-1.0)/(x+1.0);
 			}
 		} else {
 			if (expman < ((BIAS + 1) << 8) + 0x38) { /* |x| < 2.4375 */
 				id = 2;
-				x = (x-1.5)/(one+1.5*x);
+				x = (x-1.5)/(1.0+1.5*x);
 			} else {                                 /* 2.4375 <= |x| < 2^ATAN_CONST */
 				id = 3;
 				x = -1.0/x;

+ 6 - 6
src/math/cosh.c

@@ -32,7 +32,7 @@
 
 #include "libm.h"
 
-static const double one = 1.0, half = 0.5, huge = 1.0e300;
+static const double huge = 1.0e300;
 
 double cosh(double x)
 {
@@ -49,21 +49,21 @@ double cosh(double x)
 	/* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
 	if (ix < 0x3fd62e43) {
 		t = expm1(fabs(x));
-		w = one+t;
+		w = 1.0+t;
 		if (ix < 0x3c800000)
 			return w;  /* cosh(tiny) = 1 */
-		return one + (t*t)/(w+w);
+		return 1.0 + (t*t)/(w+w);
 	}
 
 	/* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|))/2; */
 	if (ix < 0x40360000) {
 		t = exp(fabs(x));
-		return half*t + half/t;
+		return 0.5*t + 0.5/t;
 	}
 
-	/* |x| in [22, log(maxdouble)] return half*exp(|x|) */
+	/* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
 	if (ix < 0x40862E42)
-		return half*exp(fabs(x));
+		return 0.5*exp(fabs(x));
 
 	/* |x| in [log(maxdouble), overflowthresold] */
 	if (ix <= 0x408633CE)

+ 7 - 7
src/math/coshf.c

@@ -15,7 +15,7 @@
 
 #include "libm.h"
 
-static const float one = 1.0, half = 0.5, huge = 1.0e30;
+static const float huge = 1.0e30;
 
 float coshf(float x)
 {
@@ -32,21 +32,21 @@ float coshf(float x)
 	/* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
 	if (ix < 0x3eb17218) {
 		t = expm1f(fabsf(x));
-		w = one+t;
+		w = 1.0f+t;
 		if (ix<0x39800000)
-			return one;  /* cosh(tiny) = 1 */
-		return one + (t*t)/(w+w);
+			return 1.0f;  /* cosh(tiny) = 1 */
+		return 1.0f + (t*t)/(w+w);
 	}
 
 	/* |x| in [0.5*ln2,9], return (exp(|x|)+1/exp(|x|))/2; */
 	if (ix < 0x41100000) {
 		t = expf(fabsf(x));
-		return half*t + half/t;
+		return 0.5f*t + 0.5f/t;
 	}
 
-	/* |x| in [9, log(maxfloat)] return half*exp(|x|) */
+	/* |x| in [9, log(maxfloat)] return 0.5f*exp(|x|) */
 	if (ix < 0x42b17217)
-		return half*expf(fabsf(x));
+		return 0.5f*expf(fabsf(x));
 
 	/* |x| in [log(maxfloat), overflowthresold] */
 	if (ix <= 0x42b2d4fc)

+ 8 - 8
src/math/coshl.c

@@ -38,7 +38,7 @@ long double coshl(long double x)
 	return cosh(x);
 }
 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
-static const long double one = 1.0, half = 0.5, huge = 1.0e4900L;
+static const long double huge = 1.0e4900L;
 
 long double coshl(long double x)
 {
@@ -56,27 +56,27 @@ long double coshl(long double x)
 	/* |x| in [0,0.5*ln2], return 1+expm1l(|x|)^2/(2*expl(|x|)) */
 	if (ex < 0x3ffd || (ex == 0x3ffd && mx < 0xb17217f7u)) {
 		t = expm1l(fabsl(x));
-		w = one + t;
+		w = 1.0 + t;
 		if (ex < 0x3fbc) return w;    /* cosh(tiny) = 1 */
-		return one+(t*t)/(w+w);
+		return 1.0+(t*t)/(w+w);
 	}
 
 	/* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
 	if (ex < 0x4003 || (ex == 0x4003 && mx < 0xb0000000u)) {
 		t = expl(fabsl(x));
-		return half*t + half/t;
+		return 0.5*t + 0.5/t;
 	}
 
-	/* |x| in [22, ln(maxdouble)] return half*exp(|x|) */
+	/* |x| in [22, ln(maxdouble)] return 0.5*exp(|x|) */
 	if (ex < 0x400c || (ex == 0x400c && mx < 0xb1700000u))
-		return half*expl(fabsl(x));
+		return 0.5*expl(fabsl(x));
 
 	/* |x| in [log(maxdouble), log(2*maxdouble)) */
 	if (ex == 0x400c && (mx < 0xb174ddc0u ||
 	     (mx == 0xb174ddc0u && lx < 0x31aec0ebu)))
 	{
-		w = expl(half*fabsl(x));
-		t = half*w;
+		w = expl(0.5*fabsl(x));
+		t = 0.5*w;
 		return t*w;
 	}
 

+ 27 - 30
src/math/erf.c

@@ -107,9 +107,6 @@
 
 static const double
 tiny = 1e-300,
-half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
-one  = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
-two  = 2.00000000000000000000e+00, /* 0x40000000, 0x00000000 */
 /* c = (float)0.84506291151 */
 erx  = 8.45062911510467529297e-01, /* 0x3FEB0AC1, 0x60000000 */
 /*
@@ -190,7 +187,7 @@ double erf(double x)
 	if (ix >= 0x7ff00000) {
 		/* erf(nan)=nan, erf(+-inf)=+-1 */
 		i = ((uint32_t)hx>>31)<<1;
-		return (double)(1-i) + one/x;
+		return (double)(1-i) + 1.0/x;
 	}
 	if (ix < 0x3feb0000) {  /* |x|<0.84375 */
 		if (ix < 0x3e300000) {  /* |x|<2**-28 */
@@ -201,42 +198,42 @@ double erf(double 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))));
+		s = 1.0+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
 		y = r/s;
 		return x + x*y;
 	}
 	if (ix < 0x3ff40000) {  /* 0.84375 <= |x| < 1.25 */
-		s = fabs(x)-one;
+		s = fabs(x)-1.0;
 		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)))));
+		Q = 1.0+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
 		if (hx >= 0)
 			return erx + P/Q;
 		return -erx - P/Q;
 	}
 	if (ix >= 0x40180000) {  /* inf > |x| >= 6 */
 		if (hx >= 0)
-			return one-tiny;
-		return tiny-one;
+			return 1.0 - tiny;
+		return tiny - 1.0;
 	}
 	x = fabs(x);
-	s = one/(x*x);
+	s = 1.0/(x*x);
 	if (ix < 0x4006DB6E) {  /* |x| < 1/0.35 */
 		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*(
+		S = 1.0+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
 		     sa5+s*(sa6+s*(sa7+s*sa8)))))));
 	} else {                /* |x| >= 1/0.35 */
 		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*(
+		S = 1.0+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
 		     sb5+s*(sb6+s*sb7))))));
 	}
 	z = x;
 	SET_LOW_WORD(z,0);
 	r = exp(-z*z-0.5625)*exp((z-x)*(z+x)+R/S);
 	if (hx >= 0)
-		return one-r/x;
-	return r/x-one;
+		return 1.0 - r/x;
+	return r/x - 1.0;
 }
 
 double erfc(double x)
@@ -248,49 +245,49 @@ double erfc(double x)
 	ix = hx & 0x7fffffff;
 	if (ix >= 0x7ff00000) {
 		/* erfc(nan)=nan, erfc(+-inf)=0,2 */
-		return (double)(((uint32_t)hx>>31)<<1) + one/x;
+		return (double)(((uint32_t)hx>>31)<<1) + 1.0/x;
 	}
 	if (ix < 0x3feb0000) {  /* |x| < 0.84375 */
 		if (ix < 0x3c700000)  /* |x| < 2**-56 */
-			return one - x;
+			return 1.0 - 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))));
+		s = 1.0+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
 		y = r/s;
 		if (hx < 0x3fd00000) {  /* x < 1/4 */
-			return one - (x+x*y);
+			return 1.0 - (x+x*y);
 		} else {
 			r = x*y;
-			r += x-half;
-			return half - r ;
+			r += x - 0.5;
+			return 0.5 - r ;
 		}
 	}
 	if (ix < 0x3ff40000) {  /* 0.84375 <= |x| < 1.25 */
-		s = fabs(x)-one;
+		s = fabs(x)-1.0;
 		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)))));
+		Q = 1.0+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
 		if (hx >= 0) {
-			z = one-erx;
+			z = 1.0-erx;
 			return z - P/Q;
 		} else {
 			z = erx+P/Q;
-			return one+z;
+			return 1.0 + z;
 		}
 	}
 	if (ix < 0x403c0000) {  /* |x| < 28 */
 		x = fabs(x);
-		s = one/(x*x);
+		s = 1.0/(x*x);
 		if (ix < 0x4006DB6D) {  /* |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*(
+			S = 1.0+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 >= 0x40180000)  /* x < -6 */
-				return two-tiny;
+				return 2.0 - tiny;
 			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*(
+			S = 1.0+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
 			     sb5+s*(sb6+s*sb7))))));
 		}
 		z = x;
@@ -298,9 +295,9 @@ double erfc(double x)
 		r = exp(-z*z-0.5625)*exp((z-x)*(z+x)+R/S);
 		if (hx > 0)
 			return r/x;
-		return two-r/x;
+		return 2.0 - r/x;
 	}
 	if (hx > 0)
 		return tiny*tiny;
-	return two-tiny;
+	return 2.0 - tiny;
 }

+ 27 - 30
src/math/erff.c

@@ -17,9 +17,6 @@
 
 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 */
 /*
@@ -100,7 +97,7 @@ float erff(float x)
 	if (ix >= 0x7f800000) {
 		/* erf(nan)=nan, erf(+-inf)=+-1 */
 		i = ((uint32_t)hx>>31)<<1;
-		return (float)(1-i)+one/x;
+		return (float)(1-i)+1.0f/x;
 	}
 	if (ix < 0x3f580000) {  /* |x| < 0.84375 */
 		if (ix < 0x31800000) {  /* |x| < 2**-28 */
@@ -111,42 +108,42 @@ float erff(float 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))));
+		s = 1.0f+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
 		y = r/s;
 		return x + x*y;
 	}
 	if (ix < 0x3fa00000) {  /* 0.84375 <= |x| < 1.25 */
-		s = fabsf(x)-one;
+		s = fabsf(x)-1.0f;
 		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)))));
+		Q = 1.0f+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
 		if (hx >= 0)
 			return erx + P/Q;
 		return -erx - P/Q;
 	}
 	if (ix >= 0x40c00000) {  /* inf > |x| >= 6 */
 		if (hx >= 0)
-			return one - tiny;
-		return tiny - one;
+			return 1.0f - tiny;
+		return tiny - 1.0f;
 	}
 	x = fabsf(x);
-	s = one/(x*x);
+	s = 1.0f/(x*x);
 	if (ix < 0x4036DB6E) {   /* |x| < 1/0.35 */
 		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*(
+		S = 1.0f+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
 		     sa5+s*(sa6+s*(sa7+s*sa8)))))));
 	} else {                 /* |x| >= 1/0.35 */
 		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*(
+		S = 1.0f+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
 		     sb5+s*(sb6+s*sb7))))));
 	}
 	GET_FLOAT_WORD(ix, x);
 	SET_FLOAT_WORD(z, ix&0xfffff000);
 	r = expf(-z*z - 0.5625f) * expf((z-x)*(z+x) + R/S);
 	if (hx >= 0)
-		return one - r/x;
-	return  r/x - one;
+		return 1.0f - r/x;
+	return  r/x - 1.0f;
 }
 
 float erfcf(float x)
@@ -158,50 +155,50 @@ float erfcf(float x)
 	ix = hx & 0x7fffffff;
 	if (ix >= 0x7f800000) {
 		/* erfc(nan)=nan, erfc(+-inf)=0,2 */
-		return (float)(((uint32_t)hx>>31)<<1) + one/x;
+		return (float)(((uint32_t)hx>>31)<<1) + 1.0f/x;
 	}
 
 	if (ix < 0x3f580000) {  /* |x| < 0.84375 */
 		if (ix < 0x23800000)  /* |x| < 2**-56 */
-			return one - x;
+			return 1.0f - 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))));
+		s = 1.0f+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
 		y = r/s;
 		if (hx < 0x3e800000) {  /* x<1/4 */
-			return one - (x+x*y);
+			return 1.0f - (x+x*y);
 		} else {
 			r = x*y;
-			r += (x-half);
-			return half - r ;
+			r += (x-0.5f);
+			return 0.5f - r ;
 		}
 	}
 	if (ix < 0x3fa00000) {  /* 0.84375 <= |x| < 1.25 */
-		s = fabsf(x)-one;
+		s = fabsf(x)-1.0f;
 		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)))));
+		Q = 1.0f+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
 		if(hx >= 0) {
-			z = one - erx;
+			z = 1.0f - erx;
 			return z - P/Q;
 		} else {
 			z = erx + P/Q;
-			return one + z;
+			return 1.0f + z;
 		}
 	}
 	if (ix < 0x41e00000) {  /* |x| < 28 */
 		x = fabsf(x);
-		s = one/(x*x);
+		s = 1.0f/(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*(
+			S = 1.0f+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) /* x < -6 */
-				return two-tiny;
+				return 2.0f-tiny;
 			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*(
+			S = 1.0f+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
 			     sb5+s*(sb6+s*sb7))))));
 		}
 		GET_FLOAT_WORD(ix, x);
@@ -209,9 +206,9 @@ float erfcf(float x)
 		r = expf(-z*z - 0.5625f) * expf((z-x)*(z+x) + R/S);
 		if (hx > 0)
 			return r/x;
-		return two - r/x;
+		return 2.0f - r/x;
 	}
 	if (hx > 0)
 		return tiny*tiny;
-	return two - tiny;
+	return 2.0f - tiny;
 }

+ 25 - 29
src/math/erfl.c

@@ -108,9 +108,6 @@ long double erfl(long double x)
 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
 static const long double
 tiny = 1e-4931L,
-half = 0.5L,
-one = 1.0L,
-two = 2.0L,
 /* c = (float)0.84506291151 */
 erx = 0.845062911510467529296875L,
 
@@ -248,12 +245,12 @@ long double erfl(long double x)
 	int32_t ix, i;
 	uint32_t se, i0, i1;
 
-	GET_LDOUBLE_WORDS (se, i0, i1, x);
+	GET_LDOUBLE_WORDS(se, i0, i1, x);
 	ix = se & 0x7fff;
 
 	if (ix >= 0x7fff) {  /* erf(nan)=nan */
 		i = ((se & 0xffff) >> 15) << 1;
-		return (long double)(1 - i) + one / x;  /* erf(+-inf)=+-1 */
+		return (long double)(1 - i) + 1.0 / x;  /* erf(+-inf)=+-1 */
 	}
 
 	ix = (ix << 16) | (i0 >> 16);
@@ -272,7 +269,7 @@ long double erfl(long double x)
 		return x + x * y;
 	}
 	if (ix < 0x3fffa000) {  /* 0.84375 <= |x| < 1.25 */
-		s = fabsl (x) - one;
+		s = fabsl(x) - 1.0;
 		P = pa[0] + s * (pa[1] + s * (pa[2] +
 		     s * (pa[3] + s * (pa[4] + s * (pa[5] + s * (pa[6] + s * pa[7]))))));
 		Q = qa[0] + s * (qa[1] + s * (qa[2] +
@@ -283,11 +280,11 @@ long double erfl(long double x)
 	}
 	if (ix >= 0x4001d555) {  /* inf > |x| >= 6.6666259765625 */
 		if ((se & 0x8000) == 0)
-			return one - tiny;
-		return tiny - one;
+			return 1.0 - tiny;
+		return tiny - 1.0;
 	}
 	x = fabsl (x);
-	s = one / (x * x);
+	s = 1.0 / (x * x);
 	if (ix < 0x4000b6db) {  /* 1.25 <= |x| < 2.85711669921875 ~ 1/.35 */
 		R = ra[0] + s * (ra[1] + s * (ra[2] + s * (ra[3] + s * (ra[4] +
 		     s * (ra[5] + s * (ra[6] + s * (ra[7] + s * ra[8])))))));
@@ -305,8 +302,8 @@ long double erfl(long double x)
 	SET_LDOUBLE_WORDS(z, i, i0, i1);
 	r = expl(-z * z - 0.5625) * expl((z - x) * (z + x) + R / S);
 	if ((se & 0x8000) == 0)
-		return one - r / x;
-	return r / x - one;
+		return 1.0 - r / x;
+	return r / x - 1.0;
 }
 
 long double erfcl(long double x)
@@ -315,16 +312,16 @@ long double erfcl(long double x)
 	long double R, S, P, Q, s, y, z, r;
 	uint32_t se, i0, i1;
 
-	GET_LDOUBLE_WORDS (se, i0, i1, x);
+	GET_LDOUBLE_WORDS(se, i0, i1, x);
 	ix = se & 0x7fff;
 	if (ix >= 0x7fff) {  /* erfc(nan) = nan, erfc(+-inf) = 0,2 */
-		return (long double)(((se & 0xffff) >> 15) << 1) + one / x;
+		return (long double)(((se & 0xffff) >> 15) << 1) + 1.0 / x;
 	}
 
 	ix = (ix << 16) | (i0 >> 16);
 	if (ix < 0x3ffed800) {  /* |x| < 0.84375 */
 		if (ix < 0x3fbe0000)  /* |x| < 2**-65 */
-			return one - x;
+			return 1.0 - x;
 		z = x * x;
 		r = pp[0] + z * (pp[1] +
 		     z * (pp[2] + z * (pp[3] + z * (pp[4] + z * pp[5]))));
@@ -332,27 +329,27 @@ long double erfcl(long double x)
 		     z * (qq[2] + z * (qq[3] + z * (qq[4] + z * (qq[5] + z)))));
 		y = r / s;
 		if (ix < 0x3ffd8000) /* x < 1/4 */
-			return one - (x + x * y);
+			return 1.0 - (x + x * y);
 		r = x * y;
-		r += x - half;
-		return half - r;
+		r += x - 0.5L;
+		return 0.5L - r;
 	}
 	if (ix < 0x3fffa000) {  /* 0.84375 <= |x| < 1.25 */
-		s = fabsl (x) - one;
+		s = fabsl(x) - 1.0;
 		P = pa[0] + s * (pa[1] + s * (pa[2] +
 		     s * (pa[3] + s * (pa[4] + s * (pa[5] + s * (pa[6] + s * pa[7]))))));
 		Q = qa[0] + s * (qa[1] + s * (qa[2] +
 		     s * (qa[3] + s * (qa[4] + s * (qa[5] + s * (qa[6] + s))))));
 		if ((se & 0x8000) == 0) {
-			z = one - erx;
+			z = 1.0 - erx;
 			return z - P / Q;
 		}
 		z = erx + P / Q;
-		return one + z;
+		return 1.0 + z;
 	}
 	if (ix < 0x4005d600) {  /* |x| < 107 */
-		x = fabsl (x);
-		s = one / (x * x);
+		x = fabsl(x);
+		s = 1.0 / (x * x);
 		if (ix < 0x4000b6db) {  /* 1.25 <= |x| < 2.85711669921875 ~ 1/.35 */
 			R = ra[0] + s * (ra[1] + s * (ra[2] + s * (ra[3] + s * (ra[4] +
 			     s * (ra[5] + s * (ra[6] + s * (ra[7] + s * ra[8])))))));
@@ -365,26 +362,25 @@ long double erfcl(long double x)
 			     s * (sb[5] + s * (sb[6] + s))))));
 		} else { /* 107 > |x| >= 6.666 */
 			if (se & 0x8000)
-				return two - tiny;/* x < -6.666 */
+				return 2.0 - tiny;/* x < -6.666 */
 			R = rc[0] + s * (rc[1] + s * (rc[2] + s * (rc[3] +
 			     s * (rc[4] + s * rc[5]))));
 			S = sc[0] + s * (sc[1] + s * (sc[2] + s * (sc[3] +
 			     s * (sc[4] + s))));
 		}
 		z = x;
-		GET_LDOUBLE_WORDS (hx, i0, i1, z);
+		GET_LDOUBLE_WORDS(hx, i0, i1, z);
 		i1 = 0;
 		i0 &= 0xffffff00;
-		SET_LDOUBLE_WORDS (z, hx, i0, i1);
-		r = expl (-z * z - 0.5625) *
-		expl ((z - x) * (z + x) + R / S);
+		SET_LDOUBLE_WORDS(z, hx, i0, i1);
+		r = expl(-z * z - 0.5625) * expl((z - x) * (z + x) + R / S);
 		if ((se & 0x8000) == 0)
 			return r / x;
-		return two - r / x;
+		return 2.0 - r / x;
 	}
 
 	if ((se & 0x8000) == 0)
 		return tiny * tiny;
-	return two - tiny;
+	return 2.0 - tiny;
 }
 #endif

+ 4 - 5
src/math/exp.c

@@ -74,7 +74,6 @@
 #include "libm.h"
 
 static const double
-one     = 1.0,
 halF[2] = {0.5,-0.5,},
 huge    = 1.0e+300,
 o_threshold =  7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
@@ -134,8 +133,8 @@ double exp(double x)
 		STRICT_ASSIGN(double, x, hi - lo);
 	} else if(hx < 0x3e300000)  {  /* |x| < 2**-28 */
 		/* raise inexact */
-		if (huge+x > one)
-			return one+x;
+		if (huge+x > 1.0)
+			return 1.0+x;
 	} else
 		k = 0;
 
@@ -147,8 +146,8 @@ double exp(double x)
 		INSERT_WORDS(twopk, 0x3ff00000+((k+1000)<<20), 0);
 	c  = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
 	if (k == 0)
-		return one - ((x*c)/(c-2.0) - x);
-	y = one-((lo-(x*c)/(2.0-c))-hi);
+		return 1.0 - ((x*c)/(c-2.0) - x);
+	y = 1.0-((lo-(x*c)/(2.0-c))-hi);
 	if (k < -1021)
 		return y*twopk*twom1000;
 	if (k == 1024)

+ 4 - 5
src/math/expf.c

@@ -16,7 +16,6 @@
 #include "libm.h"
 
 static const float
-one     = 1.0,
 halF[2] = {0.5,-0.5,},
 huge    = 1.0e+30,
 o_threshold =  8.8721679688e+01,  /* 0x42b17180 */
@@ -72,8 +71,8 @@ float expf(float x)
 		STRICT_ASSIGN(float, x, hi - lo);
 	} else if(hx < 0x39000000)  {  /* |x|<2**-14 */
 		/* raise inexact */
-		if (huge+x > one)
-			return one + x;
+		if (huge+x > 1.0f)
+			return 1.0f + x;
 	} else
 		k = 0;
 
@@ -85,8 +84,8 @@ float expf(float x)
 		SET_FLOAT_WORD(twopk, 0x3f800000+((k+100)<<23));
 	c  = x - t*(P1+t*P2);
 	if (k == 0)
-		return one - ((x*c)/(c - 2.0f) - x);
-	y = one - ((lo - (x*c)/(2.0f - c)) - hi);
+		return 1.0f - ((x*c)/(c - 2.0f) - x);
+	y = 1.0f - ((lo - (x*c)/(2.0f - c)) - hi);
 	if (k < -125)
 		return y*twopk*twom100;
 	if (k == 128)

+ 7 - 8
src/math/expm1.c

@@ -107,7 +107,6 @@
 #include "libm.h"
 
 static const double
-one         = 1.0,
 huge        = 1.0e+300,
 tiny        = 1.0e-300,
 o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
@@ -148,7 +147,7 @@ double expm1(double x)
 		if (xsb != 0) { /* x < -56*ln2, return -1.0 with inexact */
 			/* raise inexact */
 			if(x+tiny<0.0)
-				return tiny-one;  /* return -1 */
+				return tiny-1.0;  /* return -1 */
 		}
 	}
 
@@ -182,7 +181,7 @@ double expm1(double x)
 	/* x is now in primary range */
 	hfx = 0.5*x;
 	hxs = x*hfx;
-	r1 = one+hxs*(Q1+hxs*(Q2+hxs*(Q3+hxs*(Q4+hxs*Q5))));
+	r1 = 1.0+hxs*(Q1+hxs*(Q2+hxs*(Q3+hxs*(Q4+hxs*Q5))));
 	t  = 3.0-r1*hfx;
 	e  = hxs*((r1-t)/(6.0 - x*t));
 	if (k == 0)   /* c is 0 */
@@ -195,17 +194,17 @@ double expm1(double x)
 	if (k == 1) {
 		if (x < -0.25)
 			return -2.0*(e-(x+0.5));
-		return one+2.0*(x-e);
+		return 1.0+2.0*(x-e);
 	}
 	if (k <= -2 || k > 56) {  /* suffice to return exp(x)-1 */
-		y = one - (e-x);
+		y = 1.0 - (e-x);
 		if (k == 1024)
 			y = y*2.0*0x1p1023;
 		else
 			y = y*twopk;
-		return y - one;
+		return y - 1.0;
 	}
-	t = one;
+	t = 1.0;
 	if (k < 20) {
 		SET_HIGH_WORD(t, 0x3ff00000 - (0x200000>>k));  /* t=1-2^-k */
 		y = t-(e-x);
@@ -213,7 +212,7 @@ double expm1(double x)
 	} else {
 		SET_HIGH_WORD(t, ((0x3ff-k)<<20));  /* 2^-k */
 		y = x-(e+t);
-		y += one;
+		y += 1.0;
 		y = y*twopk;
 	}
 	return y;

+ 7 - 8
src/math/expm1f.c

@@ -16,7 +16,6 @@
 #include "libm.h"
 
 static const float
-one         = 1.0,
 huge        = 1.0e+30,
 tiny        = 1.0e-30,
 o_threshold = 8.8721679688e+01, /* 0x42b17180 */
@@ -54,7 +53,7 @@ float expm1f(float x)
 		if (xsb != 0) {  /* x < -27*ln2 */
 			/* raise inexact */
 			if (x+tiny < 0.0f)
-				return tiny-one;  /* return -1 */
+				return tiny-1.0f;  /* return -1 */
 		}
 	}
 
@@ -87,7 +86,7 @@ float expm1f(float x)
 	/* x is now in primary range */
 	hfx = 0.5f*x;
 	hxs = x*hfx;
-	r1 = one+hxs*(Q1+hxs*Q2);
+	r1 = 1.0f+hxs*(Q1+hxs*Q2);
 	t  = 3.0f - r1*hfx;
 	e  = hxs*((r1-t)/(6.0f - x*t));
 	if (k == 0)  /* c is 0 */
@@ -100,17 +99,17 @@ float expm1f(float x)
 	if (k == 1) {
 		if (x < -0.25f)
 			return -2.0f*(e-(x+0.5f));
-		return one + 2.0f*(x-e);
+		return 1.0f + 2.0f*(x-e);
 	}
 	if (k <= -2 || k > 56) {   /* suffice to return exp(x)-1 */
-		y = one - (e - x);
+		y = 1.0f - (e - x);
 		if (k == 128)
 			y = y*2.0f*0x1p127f;
 		else
 			y = y*twopk;
-		return y - one;
+		return y - 1.0f;
 	}
-	t = one;
+	t = 1.0f;
 	if (k < 23) {
 		SET_FLOAT_WORD(t, 0x3f800000 - (0x1000000>>k)); /* t=1-2^-k */
 		y = t - (e - x);
@@ -118,7 +117,7 @@ float expm1f(float x)
 	} else {
 		SET_FLOAT_WORD(t, (0x7f-k)<<23);  /* 2^-k */
 		y = x - (e + t);
-		y += one;
+		y += 1.0f;
 		y = y*twopk;
 	}
 	return y;

+ 18 - 21
src/math/j0.c

@@ -60,7 +60,6 @@ static double pzero(double), qzero(double);
 
 static const double
 huge      = 1e300,
-one       = 1.0,
 invsqrtpi = 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
 tpi       = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
 /* R0/S0 on [0, 2.00] */
@@ -73,8 +72,6 @@ S02 =  1.16926784663337450260e-04, /* 0x3F1EA6D2, 0xDD57DBF4 */
 S03 =  5.13546550207318111446e-07, /* 0x3EA13B54, 0xCE84D5A9 */
 S04 =  1.16614003333790000205e-09; /* 0x3E1408BC, 0xF4745D8F */
 
-static const double zero = 0.0;
-
 double j0(double x)
 {
 	double z, s,c,ss,cc,r,u,v;
@@ -83,7 +80,7 @@ double j0(double x)
 	GET_HIGH_WORD(hx, x);
 	ix = hx & 0x7fffffff;
 	if (ix >= 0x7ff00000)
-		return one/(x*x);
+		return 1.0/(x*x);
 	x = fabs(x);
 	if (ix >= 0x40000000) {  /* |x| >= 2.0 */
 		s = sin(x);
@@ -92,7 +89,7 @@ double j0(double x)
 		cc = s+c;
 		if (ix < 0x7fe00000) {  /* make sure x+x does not overflow */
 			z = -cos(x+x);
-			if ((s*c) < zero)
+			if (s*c < 0.0)
 				cc = z/ss;
 			else
 				ss = z/cc;
@@ -112,20 +109,20 @@ double j0(double x)
 	}
 	if (ix < 0x3f200000) {  /* |x| < 2**-13 */
 		/* raise inexact if x != 0 */
-		if (huge+x > one) {
+		if (huge+x > 1.0) {
 			if (ix < 0x3e400000)  /* |x| < 2**-27 */
-				return one;
-			return one - 0.25*x*x;
+				return 1.0;
+			return 1.0 - 0.25*x*x;
 		}
 	}
 	z = x*x;
 	r = z*(R02+z*(R03+z*(R04+z*R05)));
-	s = one+z*(S01+z*(S02+z*(S03+z*S04)));
+	s = 1.0+z*(S01+z*(S02+z*(S03+z*S04)));
 	if (ix < 0x3FF00000) {   /* |x| < 1.00 */
-		return one + z*(-0.25+(r/s));
+		return 1.0 + z*(-0.25+(r/s));
 	} else {
 		u = 0.5*x;
-		return (one+u)*(one-u) + z*(r/s);
+		return (1.0+u)*(1.0-u) + z*(r/s);
 	}
 }
 
@@ -151,11 +148,11 @@ double y0(double x)
 	ix = 0x7fffffff & hx;
 	/* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0  */
 	if (ix >= 0x7ff00000)
-		return one/(x+x*x);
+		return 1.0/(x+x*x);
 	if ((ix|lx) == 0)
-		return -one/zero;
+		return -1.0/0.0;
 	if (hx < 0)
-		return zero/zero;
+		return 0.0/0.0;
 	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
@@ -178,7 +175,7 @@ double y0(double x)
 		 */
 		if (ix < 0x7fe00000) {  /* make sure x+x does not overflow */
 			z = -cos(x+x);
-			if (s*c < zero)
+			if (s*c < 0.0)
 				cc = z/ss;
 			else
 				ss = z/cc;
@@ -197,7 +194,7 @@ double y0(double x)
 	}
 	z = x*x;
 	u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06)))));
-	v = one+z*(v01+z*(v02+z*(v03+z*v04)));
+	v = 1.0+z*(v01+z*(v02+z*(v03+z*v04)));
 	return u/v + tpi*(j0(x)*log(x));
 }
 
@@ -286,10 +283,10 @@ static double pzero(double x)
 	else if (ix >= 0x40122E8B){p = pR5; q = pS5;}
 	else if (ix >= 0x4006DB6D){p = pR3; q = pS3;}
 	else if (ix >= 0x40000000){p = pR2; q = pS2;}
-	z = one/(x*x);
+	z = 1.0/(x*x);
 	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
-	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
-	return one + r/s;
+	s = 1.0+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+	return 1.0 + r/s;
 }
 
 
@@ -382,8 +379,8 @@ static double qzero(double x)
 	else if (ix >= 0x40122E8B){p = qR5; q = qS5;}
 	else if (ix >= 0x4006DB6D){p = qR3; q = qS3;}
 	else if (ix >= 0x40000000){p = qR2; q = qS2;}
-	z = one/(x*x);
+	z = 1.0/(x*x);
 	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
-	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+	s = 1.0+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
 	return (-.125 + r/s)/x;
 }

+ 18 - 21
src/math/j0f.c

@@ -19,7 +19,6 @@ static float pzerof(float), qzerof(float);
 
 static const float
 huge      = 1e30,
-one       = 1.0,
 invsqrtpi = 5.6418961287e-01, /* 0x3f106ebb */
 tpi       = 6.3661974669e-01, /* 0x3f22f983 */
 /* R0/S0 on [0, 2.00] */
@@ -32,8 +31,6 @@ S02 =  1.1692678527e-04, /* 0x38f53697 */
 S03 =  5.1354652442e-07, /* 0x3509daa6 */
 S04 =  1.1661400734e-09; /* 0x30a045e8 */
 
-static const float zero = 0.0;
-
 float j0f(float x)
 {
 	float z, s,c,ss,cc,r,u,v;
@@ -42,7 +39,7 @@ float j0f(float x)
 	GET_FLOAT_WORD(hx, x);
 	ix = hx & 0x7fffffff;
 	if (ix >= 0x7f800000)
-		return one/(x*x);
+		return 1.0f/(x*x);
 	x = fabsf(x);
 	if (ix >= 0x40000000) {  /* |x| >= 2.0 */
 		s = sinf(x);
@@ -51,7 +48,7 @@ float j0f(float x)
 		cc = s+c;
 		if (ix < 0x7f000000) {  /* make sure x+x does not overflow */
 			z = -cosf(x+x);
-			if (s*c < zero)
+			if (s*c < 0.0f)
 				cc = z/ss;
 			else
 				ss = z/cc;
@@ -71,20 +68,20 @@ float j0f(float x)
 	}
 	if (ix < 0x39000000) {  /* |x| < 2**-13 */
 		/* raise inexact if x != 0 */
-		if (huge+x > one) {
+		if (huge+x > 1.0f) {
 			if (ix < 0x32000000)  /* |x| < 2**-27 */
-				return one;
-			return one - 0.25f*x*x;
+				return 1.0f;
+			return 1.0f - 0.25f*x*x;
 		}
 	}
 	z = x*x;
 	r =  z*(R02+z*(R03+z*(R04+z*R05)));
-	s =  one+z*(S01+z*(S02+z*(S03+z*S04)));
+	s =  1.0f+z*(S01+z*(S02+z*(S03+z*S04)));
 	if(ix < 0x3F800000) {   /* |x| < 1.00 */
-		return one + z*(-0.25f + (r/s));
+		return 1.0f + z*(-0.25f + (r/s));
 	} else {
 		u = 0.5f*x;
-		return (one+u)*(one-u) + z*(r/s);
+		return (1.0f+u)*(1.0f-u) + z*(r/s);
 	}
 }
 
@@ -110,11 +107,11 @@ float y0f(float x)
 	ix = 0x7fffffff & hx;
 	/* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0  */
 	if (ix >= 0x7f800000)
-		return one/(x+x*x);
+		return 1.0f/(x+x*x);
 	if (ix == 0)
-		return -one/zero;
+		return -1.0f/0.0f;
 	if (hx < 0)
-		return zero/zero;
+		return 0.0f/0.0f;
 	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
@@ -137,7 +134,7 @@ float y0f(float x)
 		 */
 		if (ix < 0x7f000000) {  /* make sure x+x not overflow */
 			z = -cosf(x+x);
-			if (s*c < zero)
+			if (s*c < 0.0f)
 				cc = z/ss;
 			else
 				ss = z/cc;
@@ -156,7 +153,7 @@ float y0f(float x)
 	}
 	z = x*x;
 	u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06)))));
-	v = one+z*(v01+z*(v02+z*(v03+z*v04)));
+	v = 1.0f+z*(v01+z*(v02+z*(v03+z*v04)));
 	return u/v + tpi*(j0f(x)*logf(x));
 }
 
@@ -244,10 +241,10 @@ static float pzerof(float x)
 	else if (ix >= 0x40f71c58){p = pR5; q = pS5;}
 	else if (ix >= 0x4036db68){p = pR3; q = pS3;}
 	else if (ix >= 0x40000000){p = pR2; q = pS2;}
-	z = one/(x*x);
+	z = 1.0f/(x*x);
 	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
-	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
-	return one + r/s;
+	s = 1.0f+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+	return 1.0f + r/s;
 }
 
 
@@ -340,8 +337,8 @@ static float qzerof(float x)
 	else if (ix >= 0x40f71c58){p = qR5; q = qS5;}
 	else if (ix >= 0x4036db68){p = qR3; q = qS3;}
 	else if (ix >= 0x40000000){p = qR2; q = qS2;}
-	z = one/(x*x);
+	z = 1.0f/(x*x);
 	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
-	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+	s = 1.0f+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
 	return (-.125f + r/s)/x;
 }

+ 15 - 18
src/math/j1.c

@@ -60,7 +60,6 @@ static double pone(double), qone(double);
 
 static const double
 huge      = 1e300,
-one       = 1.0,
 invsqrtpi = 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
 tpi       = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
 /* R0/S0 on [0,2] */
@@ -74,8 +73,6 @@ s03 =  1.17718464042623683263e-06, /* 0x3EB3BFF8, 0x333F8498 */
 s04 =  5.04636257076217042715e-09, /* 0x3E35AC88, 0xC97DFF2C */
 s05 =  1.23542274426137913908e-11; /* 0x3DAB2ACF, 0xCFB97ED8 */
 
-static const double zero = 0.0;
-
 double j1(double x)
 {
 	double z,s,c,ss,cc,r,u,v,y;
@@ -84,7 +81,7 @@ double j1(double x)
 	GET_HIGH_WORD(hx, x);
 	ix = hx & 0x7fffffff;
 	if (ix >= 0x7ff00000)
-		return one/x;
+		return 1.0/x;
 	y = fabs(x);
 	if (ix >= 0x40000000) {  /* |x| >= 2.0 */
 		s = sin(y);
@@ -93,7 +90,7 @@ double j1(double x)
 		cc = s-c;
 		if (ix < 0x7fe00000) {  /* make sure y+y not overflow */
 			z = cos(y+y);
-			if (s*c > zero)
+			if (s*c > 0.0)
 				cc = z/ss;
 			else
 				ss = z/cc;
@@ -116,12 +113,12 @@ double j1(double x)
 	}
 	if (ix < 0x3e400000) {  /* |x| < 2**-27 */
 		/* raise inexact if x!=0 */
-		if (huge+x > one)
+		if (huge+x > 1.0)
 			return 0.5*x;
 	}
 	z = x*x;
 	r = z*(r00+z*(r01+z*(r02+z*r03)));
-	s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
+	s = 1.0+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
 	r *= x;
 	return x*0.5 + r/s;
 }
@@ -151,11 +148,11 @@ double y1(double x)
 	ix = 0x7fffffff & hx;
 	/* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */
 	if (ix >= 0x7ff00000)
-		return one/(x+x*x);
+		return 1.0/(x+x*x);
 	if ((ix|lx) == 0)
-		return -one/zero;
+		return -1.0/0.0;
 	if (hx < 0)
-		return zero/zero;
+		return 0.0/0.0;
 	if (ix >= 0x40000000) {  /* |x| >= 2.0 */
 		s = sin(x);
 		c = cos(x);
@@ -163,7 +160,7 @@ double y1(double x)
 		cc = s-c;
 		if (ix < 0x7fe00000) {  /* make sure x+x not overflow */
 			z = cos(x+x);
-			if (s*c > zero)
+			if (s*c > 0.0)
 				cc = z/ss;
 			else
 				ss = z/cc;
@@ -192,8 +189,8 @@ double y1(double x)
 		return -tpi/x;
 	z = x*x;
 	u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
-	v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
-	return x*(u/v) + tpi*(j1(x)*log(x)-one/x);
+	v = 1.0+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
+	return x*(u/v) + tpi*(j1(x)*log(x)-1.0/x);
 }
 
 /* For x >= 8, the asymptotic expansions of pone is
@@ -282,10 +279,10 @@ static double pone(double x)
 	else if (ix >= 0x40122E8B){p = pr5; q = ps5;}
 	else if (ix >= 0x4006DB6D){p = pr3; q = ps3;}
 	else if (ix >= 0x40000000){p = pr2; q = ps2;}
-	z = one/(x*x);
+	z = 1.0/(x*x);
 	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
-	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
-	return one+ r/s;
+	s = 1.0+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+	return 1.0+ r/s;
 }
 
 /* For x >= 8, the asymptotic expansions of qone is
@@ -378,8 +375,8 @@ static double qone(double x)
 	else if (ix >= 0x40122E8B){p = qr5; q = qs5;}
 	else if (ix >= 0x4006DB6D){p = qr3; q = qs3;}
 	else if (ix >= 0x40000000){p = qr2; q = qs2;}
-	z = one/(x*x);
+	z = 1.0/(x*x);
 	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
-	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+	s = 1.0+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
 	return (.375 + r/s)/x;
 }

+ 15 - 18
src/math/j1f.c

@@ -19,7 +19,6 @@ static float ponef(float), qonef(float);
 
 static const float
 huge      = 1e30,
-one       = 1.0,
 invsqrtpi = 5.6418961287e-01, /* 0x3f106ebb */
 tpi       = 6.3661974669e-01, /* 0x3f22f983 */
 /* R0/S0 on [0,2] */
@@ -33,8 +32,6 @@ s03 =  1.1771846857e-06, /* 0x359dffc2 */
 s04 =  5.0463624390e-09, /* 0x31ad6446 */
 s05 =  1.2354227016e-11; /* 0x2d59567e */
 
-static const float zero = 0.0;
-
 float j1f(float x)
 {
 	float z,s,c,ss,cc,r,u,v,y;
@@ -43,7 +40,7 @@ float j1f(float x)
 	GET_FLOAT_WORD(hx, x);
 	ix = hx & 0x7fffffff;
 	if (ix >= 0x7f800000)
-		return one/x;
+		return 1.0f/x;
 	y = fabsf(x);
 	if (ix >= 0x40000000) {  /* |x| >= 2.0 */
 		s = sinf(y);
@@ -52,7 +49,7 @@ float j1f(float x)
 		cc = s-c;
 		if (ix < 0x7f000000) {  /* make sure y+y not overflow */
 			z = cosf(y+y);
-			if (s*c > zero)
+			if (s*c > 0.0f)
 				cc = z/ss;
 			else
 				ss = z/cc;
@@ -74,12 +71,12 @@ float j1f(float x)
 	}
 	if (ix < 0x32000000) {  /* |x| < 2**-27 */
 		/* raise inexact if x!=0 */
-		if (huge+x > one)
+		if (huge+x > 1.0f)
 			return 0.5f*x;
 	}
 	z = x*x;
 	r = z*(r00+z*(r01+z*(r02+z*r03)));
-	s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
+	s = 1.0f+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
 	r *= x;
 	return 0.5f*x + r/s;
 }
@@ -108,11 +105,11 @@ float y1f(float x)
 	ix = 0x7fffffff & hx;
 	/* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */
 	if (ix >= 0x7f800000)
-		return one/(x+x*x);
+		return 1.0f/(x+x*x);
 	if (ix == 0)
-		return -one/zero;
+		return -1.0f/0.0f;
 	if (hx < 0)
-		return zero/zero;
+		return 0.0f/0.0f;
 	if (ix >= 0x40000000) {  /* |x| >= 2.0 */
 		s = sinf(x);
 		c = cosf(x);
@@ -120,7 +117,7 @@ float y1f(float x)
 		cc = s-c;
 		if (ix < 0x7f000000) {  /* make sure x+x not overflow */
 			z = cosf(x+x);
-			if (s*c > zero)
+			if (s*c > 0.0f)
 				cc = z/ss;
 			else
 				ss = z/cc;
@@ -149,8 +146,8 @@ float y1f(float x)
 		return -tpi/x;
 	z = x*x;
 	u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
-	v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
-	return x*(u/v) + tpi*(j1f(x)*logf(x)-one/x);
+	v = 1.0f+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
+	return x*(u/v) + tpi*(j1f(x)*logf(x)-1.0f/x);
 }
 
 /* For x >= 8, the asymptotic expansions of pone is
@@ -239,10 +236,10 @@ static float ponef(float x)
 	else if (ix >= 0x40f71c58){p = pr5; q = ps5;}
 	else if (ix >= 0x4036db68){p = pr3; q = ps3;}
 	else if (ix >= 0x40000000){p = pr2; q = ps2;}
-	z = one/(x*x);
+	z = 1.0f/(x*x);
 	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
-	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
-	return one + r/s;
+	s = 1.0f+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+	return 1.0f + r/s;
 }
 
 /* For x >= 8, the asymptotic expansions of qone is
@@ -335,8 +332,8 @@ static float qonef(float x)
 	else if (ix >= 0x40f71c58){p = qr5; q = qs5;}
 	else if (ix >= 0x4036db68){p = qr3; q = qs3;}
 	else if (ix >= 0x40000000){p = qr2; q = qs2;}
-	z = one/(x*x);
+	z = 1.0f/(x*x);
 	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
-	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+	s = 1.0f+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
 	return (.375f + r/s)/x;
 }

+ 14 - 19
src/math/jn.c

@@ -37,12 +37,7 @@
 
 #include "libm.h"
 
-static const double
-invsqrtpi = 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
-two       = 2.00000000000000000000e+00, /* 0x40000000, 0x00000000 */
-one       = 1.00000000000000000000e+00; /* 0x3FF00000, 0x00000000 */
-
-static const double zero = 0.00000000000000000000e+00;
+static const double invsqrtpi = 5.64189583547756279280e-01; /* 0x3FE20DD7, 0x50429B6D */
 
 double jn(int n, double x)
 {
@@ -69,7 +64,7 @@ double jn(int n, double x)
 	sgn = (n&1)&(hx>>31);  /* even n -- 0, odd n -- sign(x) */
 	x = fabs(x);
 	if ((ix|lx) == 0 || ix >= 0x7ff00000)  /* if x is 0 or inf */
-		b = zero;
+		b = 0.0;
 	else if ((double)n <= x) {
 		/* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */
 		if (ix >= 0x52D00000) { /* x > 2**302 */
@@ -108,11 +103,11 @@ double jn(int n, double x)
 			 * J(n,x) = 1/n!*(x/2)^n  - ...
 			 */
 			if (n > 33)  /* underflow */
-				b = zero;
+				b = 0.0;
 			else {
 				temp = x*0.5;
 				b = temp;
-				for (a=one,i=2; i<=n; i++) {
+				for (a=1.0,i=2; i<=n; i++) {
 					a *= (double)i; /* a = n! */
 					b *= temp;      /* b = (x/2)^n */
 				}
@@ -165,10 +160,10 @@ double jn(int n, double x)
 				q1 = tmp;
 			}
 			m = n+n;
-			for (t=zero, i = 2*(n+k); i>=m; i -= 2)
-				t = one/(i/x-t);
+			for (t=0.0, i = 2*(n+k); i>=m; i -= 2)
+				t = 1.0/(i/x-t);
 			a = t;
-			b = one;
+			b = 1.0;
 			/*  estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n)
 			 *  Hence, if n*(log(2n/x)) > ...
 			 *  single 8.8722839355e+01
@@ -178,7 +173,7 @@ double jn(int n, double x)
 			 *  likely underflow to zero
 			 */
 			tmp = n;
-			v = two/x;
+			v = 2.0/x;
 			tmp = tmp*log(fabs(v*tmp));
 			if (tmp < 7.09782712893383973096e+02) {
 				for (i=n-1,di=(double)(i+i); i>0; i--) {
@@ -186,7 +181,7 @@ double jn(int n, double x)
 					b *= di;
 					b = b/x - a;
 					a = temp;
-					di -= two;
+					di -= 2.0;
 				}
 			} else {
 				for (i=n-1,di=(double)(i+i); i>0; i--) {
@@ -194,12 +189,12 @@ double jn(int n, double x)
 					b *= di;
 					b = b/x - a;
 					a = temp;
-					di -= two;
+					di -= 2.0;
 					/* scale b to avoid spurious overflow */
 					if (b > 1e100) {
 						a /= b;
 						t /= b;
-						b  = one;
+						b  = 1.0;
 					}
 				}
 			}
@@ -229,9 +224,9 @@ double yn(int n, double x)
 	if ((ix|((uint32_t)(lx|-lx))>>31) > 0x7ff00000)
 		return x+x;
 	if ((ix|lx) == 0)
-		return -one/zero;
+		return -1.0/0.0;
 	if (hx < 0)
-		return zero/zero;
+		return 0.0/0.0;
 	sign = 1;
 	if (n < 0) {
 		n = -n;
@@ -242,7 +237,7 @@ double yn(int n, double x)
 	if (n == 1)
 		return sign*y1(x);
 	if (ix == 0x7ff00000)
-		return zero;
+		return 0.0;
 	if (ix >= 0x52D00000) { /* x > 2**302 */
 		/* (x >> n**2)
 		 *      Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)

+ 13 - 19
src/math/jnf.c

@@ -16,12 +16,6 @@
 #define _GNU_SOURCE
 #include "libm.h"
 
-static const float
-two = 2.0000000000e+00, /* 0x40000000 */
-one = 1.0000000000e+00; /* 0x3F800000 */
-
-static const float zero = 0.0000000000e+00;
-
 float jnf(int n, float x)
 {
 	int32_t i,hx,ix, sgn;
@@ -47,7 +41,7 @@ float jnf(int n, float x)
 	sgn = (n&1)&(hx>>31);  /* even n -- 0, odd n -- sign(x) */
 	x = fabsf(x);
 	if (ix == 0 || ix >= 0x7f800000)  /* if x is 0 or inf */
-		b = zero;
+		b = 0.0f;
 	else if((float)n <= x) {
 		/* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */
 		a = j0f(x);
@@ -63,11 +57,11 @@ float jnf(int n, float x)
 			 * J(n,x) = 1/n!*(x/2)^n  - ...
 			 */
 			if (n > 33)  /* underflow */
-				b = zero;
+				b = 0.0f;
 			else {
 				temp = 0.5f * x;
 				b = temp;
-				for (a=one,i=2; i<=n; i++) {
+				for (a=1.0f,i=2; i<=n; i++) {
 					a *= (float)i;    /* a = n! */
 					b *= temp;        /* b = (x/2)^n */
 				}
@@ -121,10 +115,10 @@ float jnf(int n, float x)
 				q1 = tmp;
 			}
 			m = n+n;
-			for (t=zero, i = 2*(n+k); i>=m; i -= 2)
-				t = one/(i/x-t);
+			for (t=0.0f, i = 2*(n+k); i>=m; i -= 2)
+				t = 1.0f/(i/x-t);
 			a = t;
-			b = one;
+			b = 1.0f;
 			/*  estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n)
 			 *  Hence, if n*(log(2n/x)) > ...
 			 *  single 8.8722839355e+01
@@ -134,7 +128,7 @@ float jnf(int n, float x)
 			 *  likely underflow to zero
 			 */
 			tmp = n;
-			v = two/x;
+			v = 2.0f/x;
 			tmp = tmp*logf(fabsf(v*tmp));
 			if (tmp < 88.721679688f) {
 				for (i=n-1,di=(float)(i+i); i>0; i--) {
@@ -142,7 +136,7 @@ float jnf(int n, float x)
 					b *= di;
 					b = b/x - a;
 					a = temp;
-					di -= two;
+					di -= 2.0f;
 				}
 			} else {
 				for (i=n-1,di=(float)(i+i); i>0; i--){
@@ -150,12 +144,12 @@ float jnf(int n, float x)
 					b *= di;
 					b = b/x - a;
 					a = temp;
-					di -= two;
+					di -= 2.0f;
 					/* scale b to avoid spurious overflow */
 					if (b > 1e10f) {
 						a /= b;
 						t /= b;
-						b = one;
+						b = 1.0f;
 					}
 				}
 			}
@@ -183,9 +177,9 @@ float ynf(int n, float x)
 	if (ix > 0x7f800000)
 		return x+x;
 	if (ix == 0)
-		return -one/zero;
+		return -1.0f/0.0f;
 	if (hx < 0)
-		return zero/zero;
+		return 0.0f/0.0f;
 	sign = 1;
 	if (n < 0) {
 		n = -n;
@@ -196,7 +190,7 @@ float ynf(int n, float x)
 	if (n == 1)
 		return sign*y1f(x);
 	if (ix == 0x7f800000)
-		return zero;
+		return 0.0f;
 
 	a = y0f(x);
 	b = y1f(x);

+ 23 - 27
src/math/lgamma_r.c

@@ -82,8 +82,6 @@
 
 static const double
 two52= 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
-half=  5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
-one =  1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
 pi  =  3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
 a0  =  7.72156649015328655494e-02, /* 0x3FB3C467, 0xE37DB0C8 */
 a1  =  3.22467033424113591611e-01, /* 0x3FD4A34C, 0xC4A60FAD */
@@ -148,8 +146,6 @@ w4  = -5.95187557450339963135e-04, /* 0xBF4380CB, 0x8C0FE741 */
 w5  =  8.36339918996282139126e-04, /* 0x3F4B67BA, 0x4CDAD5D1 */
 w6  = -1.63092934096575273989e-03; /* 0xBF5AB89D, 0x0B9E43E4 */
 
-static const double zero = 0.00000000000000000000e+00;
-
 static double sin_pi(double x)
 {
 	double y,z;
@@ -159,7 +155,7 @@ static double sin_pi(double x)
 	ix &= 0x7fffffff;
 
 	if (ix < 0x3fd00000)
-		return __sin(pi*x, zero, 0);
+		return __sin(pi*x, 0.0, 0);
 
 	y = -x;  /* negative x is assumed */
 
@@ -174,7 +170,7 @@ static double sin_pi(double x)
 		n  = (int)(y*4.0);
 	} else {
 		if (ix >= 0x43400000) {
-			y = zero;    /* y must be even */
+			y = 0.0;    /* y must be even */
 			n = 0;
 		} else {
 			if (ix < 0x43300000)
@@ -186,14 +182,14 @@ static double sin_pi(double x)
 		}
 	}
 	switch (n) {
-	case 0:  y =  __sin(pi*y, zero, 0); break;
+	case 0:  y =  __sin(pi*y, 0.0, 0); break;
 	case 1:
-	case 2:  y =  __cos(pi*(0.5-y), zero); break;
+	case 2:  y =  __cos(pi*(0.5-y), 0.0); break;
 	case 3:
-	case 4:  y =  __sin(pi*(one-y), zero, 0); break;
+	case 4:  y =  __sin(pi*(1.0-y), 0.0, 0); break;
 	case 5:
-	case 6:  y = -__cos(pi*(y-1.5), zero); break;
-	default: y =  __sin(pi*(y-2.0), zero, 0); break;
+	case 6:  y = -__cos(pi*(y-1.5), 0.0); break;
+	default: y =  __sin(pi*(y-2.0), 0.0, 0); break;
 	}
 	return -y;
 }
@@ -213,7 +209,7 @@ double __lgamma_r(double x, int *signgamp)
 	if (ix >= 0x7ff00000)
 		return x*x;
 	if ((ix|lx) == 0)
-		return one/zero;
+		return 1.0/0.0;
 	if (ix < 0x3b900000) {  /* |x|<2**-70, return -log(|x|) */
 		if(hx < 0) {
 			*signgamp = -1;
@@ -223,12 +219,12 @@ double __lgamma_r(double x, int *signgamp)
 	}
 	if (hx < 0) {
 		if (ix >= 0x43300000)  /* |x|>=2**52, must be -integer */
-			return one/zero;
+			return 1.0/0.0;
 		t = sin_pi(x);
-		if (t == zero) /* -integer */
-			return one/zero;
+		if (t == 0.0) /* -integer */
+			return 1.0/0.0;
 		nadj = log(pi/fabs(t*x));
-		if (t < zero)
+		if (t < 0.0)
 			*signgamp = -1;
 		x = -x;
 	}
@@ -241,17 +237,17 @@ double __lgamma_r(double x, int *signgamp)
 		if (ix <= 0x3feccccc) {   /* lgamma(x) = lgamma(x+1)-log(x) */
 			r = -log(x);
 			if (ix >= 0x3FE76944) {
-				y = one - x;
+				y = 1.0 - x;
 				i = 0;
 			} else if (ix >= 0x3FCDA661) {
-				y = x - (tc-one);
+				y = x - (tc-1.0);
 				i = 1;
 			} else {
 				y = x;
 				i = 2;
 			}
 		} else {
-			r = zero;
+			r = 0.0;
 			if (ix >= 0x3FFBB4C3) {  /* [1.7316,2] */
 				y = 2.0 - x;
 				i = 0;
@@ -259,7 +255,7 @@ double __lgamma_r(double x, int *signgamp)
 				y = x - tc;
 				i = 1;
 			} else {
-				y = x - one;
+				y = x - 1.0;
 				i = 2;
 			}
 		}
@@ -282,16 +278,16 @@ double __lgamma_r(double x, int *signgamp)
 			break;
 		case 2:
 			p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
-			p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
+			p2 = 1.0+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
 			r += -0.5*y + p1/p2;
 		}
 	} else if (ix < 0x40200000) {  /* x < 8.0 */
 		i = (int)x;
 		y = x - (double)i;
 		p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
-		q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
-		r = half*y+p/q;
-		z = one;    /* lgamma(1+s) = log(s) + lgamma(s) */
+		q = 1.0+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
+		r = 0.5*y+p/q;
+		z = 1.0;    /* lgamma(1+s) = log(s) + lgamma(s) */
 		switch (i) {
 		case 7: z *= y + 6.0;  /* FALLTHRU */
 		case 6: z *= y + 5.0;  /* FALLTHRU */
@@ -303,12 +299,12 @@ double __lgamma_r(double x, int *signgamp)
 		}
 	} else if (ix < 0x43900000) {  /* 8.0 <= x < 2**58 */
 		t = log(x);
-		z = one/x;
+		z = 1.0/x;
 		y = z*z;
 		w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
-		r = (x-half)*(t-one)+w;
+		r = (x-0.5)*(t-1.0)+w;
 	} else                         /* 2**58 <= x <= inf */
-		r =  x*(log(x)-one);
+		r =  x*(log(x)-1.0);
 	if (hx < 0)
 		r = nadj - r;
 	return r;

+ 18 - 22
src/math/lgammaf_r.c

@@ -17,8 +17,6 @@
 
 static const float
 two23= 8.3886080000e+06, /* 0x4b000000 */
-half=  5.0000000000e-01, /* 0x3f000000 */
-one =  1.0000000000e+00, /* 0x3f800000 */
 pi  =  3.1415927410e+00, /* 0x40490fdb */
 a0  =  7.7215664089e-02, /* 0x3d9e233f */
 a1  =  3.2246702909e-01, /* 0x3ea51a66 */
@@ -83,8 +81,6 @@ w4  = -5.9518753551e-04, /* 0xba1c065c */
 w5  =  8.3633989561e-04, /* 0x3a5b3dd2 */
 w6  = -1.6309292987e-03; /* 0xbad5c4e8 */
 
-static const float zero = 0.0000000000e+00;
-
 static float sin_pif(float x)
 {
 	float y,z;
@@ -109,7 +105,7 @@ static float sin_pif(float x)
 		n  = (int)(y*4.0f);
 	} else {
 		if (ix >= 0x4b800000) {
-			y = zero;  /* y must be even */
+			y = 0.0f;  /* y must be even */
 			n = 0;
 		} else {
 			if (ix < 0x4b000000)
@@ -125,7 +121,7 @@ static float sin_pif(float x)
 	case 1:
 	case 2:  y =  __cosdf(pi*(0.5f - y)); break;
 	case 3:
-	case 4:  y =  __sindf(pi*(one - y)); break;
+	case 4:  y =  __sindf(pi*(1.0f - y)); break;
 	case 5:
 	case 6:  y = -__cosdf(pi*(y - 1.5f)); break;
 	default: y =  __sindf(pi*(y - 2.0f)); break;
@@ -148,7 +144,7 @@ float __lgammaf_r(float x, int *signgamp)
 	if (ix >= 0x7f800000)
 		return x*x;
 	if (ix == 0)
-		return one/zero;
+		return 1.0f/0.0f;
 	if (ix < 0x35000000) {  /* |x| < 2**-21, return -log(|x|) */
 		if (hx < 0) {
 			*signgamp = -1;
@@ -158,12 +154,12 @@ float __lgammaf_r(float x, int *signgamp)
 	}
 	if (hx < 0) {
 		if (ix >= 0x4b000000)  /* |x| >= 2**23, must be -integer */
-			return one/zero;
+			return 1.0f/0.0f;
 		t = sin_pif(x);
-		if (t == zero) /* -integer */
-			return one/zero;
+		if (t == 0.0f) /* -integer */
+			return 1.0f/0.0f;
 		nadj = logf(pi/fabsf(t*x));
-		if (t < zero)
+		if (t < 0.0f)
 			*signgamp = -1;
 		x = -x;
 	}
@@ -176,17 +172,17 @@ float __lgammaf_r(float x, int *signgamp)
 		if (ix <= 0x3f666666) {  /* lgamma(x) = lgamma(x+1)-log(x) */
 			r = -logf(x);
 			if (ix >= 0x3f3b4a20) {
-				y = one - x;
+				y = 1.0f - x;
 				i = 0;
 			} else if (ix >= 0x3e6d3308) {
-				y = x - (tc-one);
+				y = x - (tc-1.0f);
 				i = 1;
 			} else {
 				y = x;
 				i = 2;
 			}
 		} else {
-			r = zero;
+			r = 0.0f;
 			if (ix >= 0x3fdda618) {  /* [1.7316,2] */
 				y = 2.0f - x;
 				i = 0;
@@ -194,7 +190,7 @@ float __lgammaf_r(float x, int *signgamp)
 				y = x - tc;
 				i = 1;
 			} else {
-				y = x - one;
+				y = x - 1.0f;
 				i = 2;
 			}
 		}
@@ -217,16 +213,16 @@ float __lgammaf_r(float x, int *signgamp)
 			break;
 		case 2:
 			p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
-			p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
+			p2 = 1.0f+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
 			r += -0.5f*y + p1/p2;
 		}
 	} else if (ix < 0x41000000) {  /* x < 8.0 */
 		i = (int)x;
 		y = x - (float)i;
 		p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
-		q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
-		r = half*y+p/q;
-		z = one;    /* lgamma(1+s) = log(s) + lgamma(s) */
+		q = 1.0f+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
+		r = 0.5f*y+p/q;
+		z = 1.0f;    /* lgamma(1+s) = log(s) + lgamma(s) */
 		switch (i) {
 		case 7: z *= y + 6.0f;  /* FALLTHRU */
 		case 6: z *= y + 5.0f;  /* FALLTHRU */
@@ -238,12 +234,12 @@ float __lgammaf_r(float x, int *signgamp)
 		}
 	} else if (ix < 0x5c800000) {  /* 8.0 <= x < 2**58 */
 		t = logf(x);
-		z = one/x;
+		z = 1.0f/x;
 		y = z*z;
 		w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
-		r = (x-half)*(t-one)+w;
+		r = (x-0.5f)*(t-1.0f)+w;
 	} else                         /* 2**58 <= x <= inf */
-		r =  x*(logf(x)-one);
+		r =  x*(logf(x)-1.0f);
 	if (hx < 0)
 		r = nadj - r;
 	return r;

+ 22 - 26
src/math/lgammal.c

@@ -95,8 +95,6 @@ long double __lgammal_r(long double x, int *sg)
 }
 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
 static const long double
-half = 0.5L,
-one = 1.0L,
 pi = 3.14159265358979323846264L,
 two63 = 9.223372036854775808e18L,
 
@@ -200,8 +198,6 @@ w5 =  8.412723297322498080632E-4L,
 w6 = -1.880801938119376907179E-3L,
 w7 =  4.885026142432270781165E-3L;
 
-static const long double zero = 0.0L;
-
 static long double sin_pi(long double x)
 {
 	long double y, z;
@@ -226,7 +222,7 @@ static long double sin_pi(long double x)
 		n = (int) (y*4.0);
 	} else {
 		if (ix >= 0x403f8000) {  /* 2^64 */
-			y = zero;  /* y must be even */
+			y = 0.0;  /* y must be even */
 			n = 0;
 		} else {
 			if (ix < 0x403e8000)  /* 2^63 */
@@ -244,11 +240,11 @@ static long double sin_pi(long double x)
 		break;
 	case 1:
 	case 2:
-		y = cosl(pi * (half - y));
+		y = cosl(pi * (0.5 - y));
 		break;
 	case 3:
 	case 4:
-		y = sinl(pi * (one - y));
+		y = sinl(pi * (1.0 - y));
 		break;
 	case 5:
 	case 6:
@@ -273,7 +269,7 @@ long double __lgammal_r(long double x, int *sg) {
 	if ((ix | i0 | i1) == 0) {
 		if (se & 0x8000)
 			*sg = -1;
-		return one / fabsl(x);
+		return 1.0 / fabsl(x);
 	}
 
 	ix = (ix << 16) | (i0 >> 16);
@@ -291,10 +287,10 @@ long double __lgammal_r(long double x, int *sg) {
 	}
 	if (se & 0x8000) {
 		t = sin_pi (x);
-		if (t == zero)
-			return one / fabsl(t); /* -integer */
+		if (t == 0.0)
+			return 1.0 / fabsl(t); /* -integer */
 		nadj = logl(pi / fabsl(t * x));
-		if (t < zero)
+		if (t < 0.0)
 			*sg = -1;
 		x = -x;
 	}
@@ -306,19 +302,19 @@ long double __lgammal_r(long double x, int *sg) {
 	else if (ix < 0x40008000) {  /* x < 2.0 */
 		if (ix <= 0x3ffee666) {  /* 8.99993896484375e-1 */
 			/* lgamma(x) = lgamma(x+1) - log(x) */
-			r = -logl (x);
+			r = -logl(x);
 			if (ix >= 0x3ffebb4a) {  /* 7.31597900390625e-1 */
-				y = x - one;
+				y = x - 1.0;
 				i = 0;
 			} else if (ix >= 0x3ffced33) {  /* 2.31639862060546875e-1 */
-				y = x - (tc - one);
+				y = x - (tc - 1.0);
 				i = 1;
 			} else { /* x < 0.23 */
 				y = x;
 				i = 2;
 			}
 		} else {
-			r = zero;
+			r = 0.0;
 			if (ix >= 0x3fffdda6) {  /* 1.73162841796875 */
 				/* [1.7316,2] */
 				y = x - 2.0;
@@ -329,7 +325,7 @@ long double __lgammal_r(long double x, int *sg) {
 				i = 1;
 			} else {
 				/* [0.9, 1.23] */
-				y = x - one;
+				y = x - 1.0;
 				i = 2;
 			}
 		}
@@ -337,7 +333,7 @@ long double __lgammal_r(long double x, int *sg) {
 		case 0:
 			p1 = a0 + y * (a1 + y * (a2 + y * (a3 + y * (a4 + y * a5))));
 			p2 = b0 + y * (b1 + y * (b2 + y * (b3 + y * (b4 + y))));
-			r += half * y + y * p1/p2;
+			r += 0.5 * y + y * p1/p2;
 			break;
 		case 1:
 			p1 = g0 + y * (g1 + y * (g2 + y * (g3 + y * (g4 + y * (g5 + y * g6)))));
@@ -348,17 +344,17 @@ long double __lgammal_r(long double x, int *sg) {
 		case 2:
 			p1 = y * (u0 + y * (u1 + y * (u2 + y * (u3 + y * (u4 + y * (u5 + y * u6))))));
 			p2 = v0 + y * (v1 + y * (v2 + y * (v3 + y * (v4 + y * (v5 + y)))));
-			r += (-half * y + p1 / p2);
+			r += (-0.5 * y + p1 / p2);
 		}
 	} else if (ix < 0x40028000) {  /* 8.0 */
 		/* x < 8.0 */
 		i = (int)x;
-		t = zero;
+		t = 0.0;
 		y = x - (double)i;
 		p = y * (s0 + y * (s1 + y * (s2 + y * (s3 + y * (s4 + y * (s5 + y * s6))))));
 		q = r0 + y * (r1 + y * (r2 + y * (r3 + y * (r4 + y * (r5 + y * (r6 + y))))));
-		r = half * y + p / q;
-		z = one;/* lgamma(1+s) = log(s) + lgamma(s) */
+		r = 0.5 * y + p / q;
+		z = 1.0;/* lgamma(1+s) = log(s) + lgamma(s) */
 		switch (i) {
 		case 7:
 			z *= (y + 6.0); /* FALLTHRU */
@@ -370,18 +366,18 @@ long double __lgammal_r(long double x, int *sg) {
 			z *= (y + 3.0); /* FALLTHRU */
 		case 3:
 			z *= (y + 2.0); /* FALLTHRU */
-			r += logl (z);
+			r += logl(z);
 			break;
 		}
 	} else if (ix < 0x40418000) {  /* 2^66 */
 		/* 8.0 <= x < 2**66 */
-		t = logl (x);
-		z = one / x;
+		t = logl(x);
+		z = 1.0 / x;
 		y = z * z;
 		w = w0 + z * (w1 + y * (w2 + y * (w3 + y * (w4 + y * (w5 + y * (w6 + y * w7))))));
-		r = (x - half) * (t - one) + w;
+		r = (x - 0.5) * (t - 1.0) + w;
 	} else /* 2**66 <= x <= inf */
-		r = x * (logl (x) - one);
+		r = x * (logl(x) - 1.0);
 	if (se & 0x8000)
 		r = nadj - r;
 	return r;

+ 4 - 6
src/math/log.c

@@ -74,8 +74,6 @@ Lg5 = 1.818357216161805012e-01,  /* 3FC74664 96CB03DE */
 Lg6 = 1.531383769920937332e-01,  /* 3FC39A09 D078C69F */
 Lg7 = 1.479819860511658591e-01;  /* 3FC2F112 DF3E5244 */
 
-static const double zero = 0.0;
-
 double log(double x)
 {
 	double hfsq,f,s,z,R,w,t1,t2,dk;
@@ -87,9 +85,9 @@ double log(double x)
 	k = 0;
 	if (hx < 0x00100000) {  /* x < 2**-1022  */
 		if (((hx&0x7fffffff)|lx) == 0)
-			return -two54/zero;  /* log(+-0)=-inf */
+			return -two54/0.0;  /* log(+-0)=-inf */
 		if (hx < 0)
-			return (x-x)/zero;   /* log(-#) = NaN */
+			return (x-x)/0.0;   /* log(-#) = NaN */
 		/* subnormal number, scale up x */
 		k -= 54;
 		x *= two54;
@@ -104,9 +102,9 @@ double log(double x)
 	k += i>>20;
 	f = x - 1.0;
 	if ((0x000fffff&(2+hx)) < 3) {  /* -2**-20 <= f < 2**-20 */
-		if (f == zero) {
+		if (f == 0.0) {
 			if (k == 0) {
-				return zero;
+				return 0.0;
 			}
 			dk = (double)k;
 			return dk*ln2_hi + dk*ln2_lo;

+ 3 - 5
src/math/log10.c

@@ -27,8 +27,6 @@ ivln10lo  = 2.50829467116452752298e-11, /* 0x3dbb9438, 0xca9aadd5 */
 log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */
 log10_2lo = 3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */
 
-static const double zero = 0.0;
-
 double log10(double x)
 {
 	double f,hfsq,hi,lo,r,val_hi,val_lo,w,y,y2;
@@ -40,9 +38,9 @@ double log10(double x)
 	k = 0;
 	if (hx < 0x00100000) {  /* x < 2**-1022  */
 		if (((hx&0x7fffffff)|lx) == 0)
-			return -two54/zero;  /* log(+-0)=-inf */
+			return -two54/0.0;  /* log(+-0)=-inf */
 		if (hx<0)
-			return (x-x)/zero;   /* log(-#) = NaN */
+			return (x-x)/0.0;   /* log(-#) = NaN */
 		/* subnormal number, scale up x */
 		k -= 54;
 		x *= two54;
@@ -51,7 +49,7 @@ double log10(double x)
 	if (hx >= 0x7ff00000)
 		return x+x;
 	if (hx == 0x3ff00000 && lx == 0)
-		return zero;  /* log(1) = +0 */
+		return 0.0;  /* log(1) = +0 */
 	k += (hx>>20) - 1023;
 	hx &= 0x000fffff;
 	i = (hx+0x95f64)&0x100000;

+ 3 - 5
src/math/log10f.c

@@ -23,8 +23,6 @@ ivln10lo  = -3.1689971365e-05, /* 0xb804ead9 */
 log10_2hi =  3.0102920532e-01, /* 0x3e9a2080 */
 log10_2lo =  7.9034151668e-07; /* 0x355427db */
 
-static const float zero = 0.0;
-
 float log10f(float x)
 {
 	float f,hfsq,hi,lo,r,y;
@@ -35,9 +33,9 @@ float log10f(float x)
 	k = 0;
 	if (hx < 0x00800000) {  /* x < 2**-126  */
 		if ((hx&0x7fffffff) == 0)
-			return -two25/zero;  /* log(+-0)=-inf */
+			return -two25/0.0f;  /* log(+-0)=-inf */
 		if (hx < 0)
-			return (x-x)/zero;   /* log(-#) = NaN */
+			return (x-x)/0.0f;   /* log(-#) = NaN */
 		/* subnormal number, scale up x */
 		k -= 25;
 		x *= two25;
@@ -46,7 +44,7 @@ float log10f(float x)
 	if (hx >= 0x7f800000)
 		return x+x;
 	if (hx == 0x3f800000)
-		return zero;  /* log(1) = +0 */
+		return 0.0f;  /* log(1) = +0 */
 	k += (hx>>23) - 127;
 	hx &= 0x007fffff;
 	i = (hx+(0x4afb0d))&0x800000;

+ 4 - 6
src/math/log1p.c

@@ -88,8 +88,6 @@ Lp5 = 1.818357216161805012e-01,  /* 3FC74664 96CB03DE */
 Lp6 = 1.531383769920937332e-01,  /* 3FC39A09 D078C69F */
 Lp7 = 1.479819860511658591e-01;  /* 3FC2F112 DF3E5244 */
 
-static const double zero = 0.0;
-
 double log1p(double x)
 {
 	double hfsq,f,c,s,z,R,u;
@@ -102,12 +100,12 @@ double log1p(double x)
 	if (hx < 0x3FDA827A) {  /* 1+x < sqrt(2)+ */
 		if (ax >= 0x3ff00000) {  /* x <= -1.0 */
 			if (x == -1.0)
-				return -two54/zero; /* log1p(-1)=+inf */
+				return -two54/0.0; /* log1p(-1)=+inf */
 			return (x-x)/(x-x);         /* log1p(x<-1)=NaN */
 		}
 		if (ax < 0x3e200000) {   /* |x| < 2**-29 */
 			/* raise inexact */
-			if (two54 + x > zero && ax < 0x3c900000)  /* |x| < 2**-54 */
+			if (two54 + x > 0.0 && ax < 0x3c900000)  /* |x| < 2**-54 */
 				return x;
 			return x - x*x*0.5;
 		}
@@ -151,9 +149,9 @@ double log1p(double x)
 	}
 	hfsq = 0.5*f*f;
 	if (hu == 0) {   /* |f| < 2**-20 */
-		if (f == zero) {
+		if (f == 0.0) {
 			if(k == 0)
-				return zero;
+				return 0.0;
 			c += k*ln2_lo;
 			return k*ln2_hi + c;
 		}

+ 4 - 6
src/math/log1pf.c

@@ -27,8 +27,6 @@ Lp5 = 1.8183572590e-01, /* 3E3A3325 */
 Lp6 = 1.5313838422e-01, /* 3E1CD04F */
 Lp7 = 1.4798198640e-01; /* 3E178897 */
 
-static const float zero = 0.0;
-
 float log1pf(float x)
 {
 	float hfsq,f,c,s,z,R,u;
@@ -41,12 +39,12 @@ float log1pf(float x)
 	if (hx < 0x3ed413d0) {  /* 1+x < sqrt(2)+  */
 		if (ax >= 0x3f800000) {  /* x <= -1.0 */
 			if (x == -1.0f)
-				return -two25/zero; /* log1p(-1)=+inf */
+				return -two25/0.0f; /* log1p(-1)=+inf */
 			return (x-x)/(x-x);         /* log1p(x<-1)=NaN */
 		}
 		if (ax < 0x38000000) {   /* |x| < 2**-15 */
 			/* raise inexact */
-			if (two25 + x > zero && ax < 0x33800000)  /* |x| < 2**-24 */
+			if (two25 + x > 0.0f && ax < 0x33800000)  /* |x| < 2**-24 */
 				return x;
 			return x - x*x*0.5f;
 		}
@@ -91,9 +89,9 @@ float log1pf(float x)
 	}
 	hfsq = 0.5f * f * f;
 	if (hu == 0) {  /* |f| < 2**-20 */
-		if (f == zero) {
+		if (f == 0.0f) {
 			if (k == 0)
-				return zero;
+				return 0.0f;
 			c += k*ln2_lo;
 			return k*ln2_hi+c;
 		}

+ 10 - 10
src/math/log1pl.c

@@ -118,11 +118,11 @@ long double log1pl(long double xm1)
 	if (xm1 == 0.0)
 		return xm1;
 
-	x = xm1 + 1.0L;
+	x = xm1 + 1.0;
 
 	/* Test for domain errors.  */
-	if (x <= 0.0L) {
-		if (x == 0.0L)
+	if (x <= 0.0) {
+		if (x == 0.0)
 			return -INFINITY;
 		return NAN;
 	}
@@ -136,12 +136,12 @@ long double log1pl(long double xm1)
 	if (e > 2 || e < -2) {
 		if (x < SQRTH) { /* 2(2x-1)/(2x+1) */
 			e -= 1;
-			z = x - 0.5L;
-			y = 0.5L * z + 0.5L;
+			z = x - 0.5;
+			y = 0.5 * z + 0.5;
 		} else { /*  2 (x-1)/(x+1)   */
-			z = x - 0.5L;
-			z -= 0.5L;
-			y = 0.5L * x  + 0.5L;
+			z = x - 0.5;
+			z -= 0.5;
+			y = 0.5 * x  + 0.5;
 		}
 		x = z / y;
 		z = x*x;
@@ -156,12 +156,12 @@ long double log1pl(long double xm1)
 	if (x < SQRTH) {
 		e -= 1;
 		if (e != 0)
-			x = 2.0 * x - 1.0L;
+			x = 2.0 * x - 1.0;
 		else
 			x = xm1;
 	} else {
 		if (e != 0)
-			x = x - 1.0L;
+			x = x - 1.0;
 		else
 			x = xm1;
 	}

+ 3 - 5
src/math/log2.c

@@ -27,8 +27,6 @@ two54   = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
 ivln2hi = 1.44269504072144627571e+00, /* 0x3ff71547, 0x65200000 */
 ivln2lo = 1.67517131648865118353e-10; /* 0x3de705fc, 0x2eefa200 */
 
-static const double zero = 0.0;
-
 double log2(double x)
 {
 	double f,hfsq,hi,lo,r,val_hi,val_lo,w,y;
@@ -40,9 +38,9 @@ double log2(double x)
 	k = 0;
 	if (hx < 0x00100000) {  /* x < 2**-1022  */
 		if (((hx&0x7fffffff)|lx) == 0)
-			return -two54/zero;  /* log(+-0)=-inf */
+			return -two54/0.0;  /* log(+-0)=-inf */
 		if (hx < 0)
-			return (x-x)/zero;   /* log(-#) = NaN */
+			return (x-x)/0.0;   /* log(-#) = NaN */
 		/* subnormal number, scale up x */
 		k -= 54;
 		x *= two54;
@@ -51,7 +49,7 @@ double log2(double x)
 	if (hx >= 0x7ff00000)
 		return x+x;
 	if (hx == 0x3ff00000 && lx == 0)
-		return zero;  /* log(1) = +0 */
+		return 0.0;  /* log(1) = +0 */
 	k += (hx>>20) - 1023;
 	hx &= 0x000fffff;
 	i = (hx+0x95f64) & 0x100000;

+ 3 - 5
src/math/log2f.c

@@ -21,8 +21,6 @@ two25   =  3.3554432000e+07, /* 0x4c000000 */
 ivln2hi =  1.4428710938e+00, /* 0x3fb8b000 */
 ivln2lo = -1.7605285393e-04; /* 0xb9389ad4 */
 
-static const float zero = 0.0;
-
 float log2f(float x)
 {
 	float f,hfsq,hi,lo,r,y;
@@ -33,9 +31,9 @@ float log2f(float x)
 	k = 0;
 	if (hx < 0x00800000) {  /* x < 2**-126  */
 		if ((hx&0x7fffffff) == 0)
-			return -two25/zero;  /* log(+-0)=-inf */
+			return -two25/0.0f;  /* log(+-0)=-inf */
 		if (hx < 0)
-			return (x-x)/zero;   /* log(-#) = NaN */
+			return (x-x)/0.0f;   /* log(-#) = NaN */
 		/* subnormal number, scale up x */
 		k -= 25;
 		x *= two25;
@@ -44,7 +42,7 @@ float log2f(float x)
 	if (hx >= 0x7f800000)
 		return x+x;
 	if (hx == 0x3f800000)
-		return zero;  /* log(1) = +0 */
+		return 0.0f;  /* log(1) = +0 */
 	k += (hx>>23) - 127;
 	hx &= 0x007fffff;
 	i = (hx+(0x4afb0d))&0x800000;

+ 4 - 6
src/math/logf.c

@@ -25,8 +25,6 @@ Lg2 = 0xccce13.0p-25, /* 0.40000972152 */
 Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */
 Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */
 
-static const float zero = 0.0;
-
 float logf(float x)
 {
 	float hfsq,f,s,z,R,w,t1,t2,dk;
@@ -37,9 +35,9 @@ float logf(float x)
 	k = 0;
 	if (ix < 0x00800000) {  /* x < 2**-126  */
 		if ((ix & 0x7fffffff) == 0)
-			return -two25/zero;  /* log(+-0)=-inf */
+			return -two25/0.0f;  /* log(+-0)=-inf */
 		if (ix < 0)
-			return (x-x)/zero;   /* log(-#) = NaN */
+			return (x-x)/0.0f;   /* log(-#) = NaN */
 		/* subnormal number, scale up x */
 		k -= 25;
 		x *= two25;
@@ -54,9 +52,9 @@ float logf(float x)
 	k += i>>23;
 	f = x - 1.0f;
 	if ((0x007fffff & (0x8000 + ix)) < 0xc000) {  /* -2**-9 <= f < 2**-9 */
-		if (f == zero) {
+		if (f == 0.0f) {
 			if (k == 0)
-				return zero;
+				return 0.0f;
 			dk = (float)k;
 			return dk*ln2_hi + dk*ln2_lo;
 		}

+ 1 - 3
src/math/modf.c

@@ -21,8 +21,6 @@
 
 #include "libm.h"
 
-static const double one = 1.0;
-
 double modf(double x, double *iptr)
 {
 	int32_t i0,i1,j0;
@@ -51,7 +49,7 @@ double modf(double x, double *iptr)
 			*iptr = x;
 			return 0.0 / x;
 		}
-		*iptr = x*one;
+		*iptr = x;
 		GET_HIGH_WORD(high, x);
 		INSERT_WORDS(x, high & 0x80000000, 0);  /* return +-0 */
 		return x;

+ 17 - 20
src/math/pow.c

@@ -59,9 +59,6 @@ static const double
 bp[]   = {1.0, 1.5,},
 dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */
 dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */
-zero   =  0.0,
-one    =  1.0,
-two    =  2.0,
 two53  =  9007199254740992.0, /* 0x43400000, 0x00000000 */
 huge   =  1.0e300,
 tiny   =  1.0e-300,
@@ -101,15 +98,15 @@ double pow(double x, double y)
 	ix = hx & 0x7fffffff;
 	iy = hy & 0x7fffffff;
 
-	/* y == zero: x**0 = 1 */
+	/* y == 0.0: x**0 = 1 */
 	if ((iy|ly) == 0)
-		return one;
+		return 1.0;
 
 	/* x == 1: 1**y = 1, even if y is NaN */
 	if (hx == 0x3ff00000 && lx == 0)
-		return one;
+		return 1.0;
 
-	/* y != zero: result is NaN if either arg is NaN */
+	/* y != 0.0: result is NaN if either arg is NaN */
 	if (ix > 0x7ff00000 || (ix == 0x7ff00000 && lx != 0) ||
 	    iy > 0x7ff00000 || (iy == 0x7ff00000 && ly != 0))
 		return (x+0.0) + (y+0.0);
@@ -141,15 +138,15 @@ double pow(double x, double y)
 	if (ly == 0) {
 		if (iy == 0x7ff00000) {  /* y is +-inf */
 			if (((ix-0x3ff00000)|lx) == 0)  /* (-1)**+-inf is 1 */
-				return one;
+				return 1.0;
 			else if (ix >= 0x3ff00000) /* (|x|>1)**+-inf = inf,0 */
-				return hy >= 0 ? y : zero;
+				return hy >= 0 ? y : 0.0;
 			else                       /* (|x|<1)**+-inf = 0,inf */
-				return hy < 0 ? -y : zero;
+				return hy < 0 ? -y : 0.0;
 		}
 		if (iy == 0x3ff00000) {  /* y is +-1 */
 			if (hy < 0)
-				return one/x;
+				return 1.0/x;
 			return x;
 		}
 		if (hy == 0x40000000)    /* y is 2 */
@@ -166,7 +163,7 @@ double pow(double x, double y)
 		if (ix == 0x7ff00000 || ix == 0 || ix == 0x3ff00000) { /* x is +-0,+-inf,+-1 */
 			z = ax;
 			if (hy < 0)   /* z = (1/|x|) */
-				z = one/z;
+				z = 1.0/z;
 			if (hx < 0) {
 				if (((ix-0x3ff00000)|yisint) == 0) {
 					z = (z-z)/(z-z); /* (-1)**non-int is NaN */
@@ -187,9 +184,9 @@ double pow(double x, double y)
 	if ((n|yisint) == 0)
 		return (x-x)/(x-x);
 
-	s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
+	s = 1.0; /* s (sign of result -ve**odd) = -1 else = 1 */
 	if ((n|(yisint-1)) == 0)
-		s = -one;/* (-ve)**(odd int) */
+		s = -1.0;/* (-ve)**(odd int) */
 
 	/* |y| is huge */
 	if (iy > 0x41e00000) { /* if |y| > 2**31 */
@@ -206,7 +203,7 @@ double pow(double x, double y)
 			return hy > 0 ? s*huge*huge : s*tiny*tiny;
 		/* now |1-x| is tiny <= 2**-20, suffice to compute
 		   log(x) by x-x^2/2+x^3/3-x^4/4 */
-		t = ax - one;       /* t has 20 trailing zeros */
+		t = ax - 1.0;       /* t has 20 trailing zeros */
 		w = (t*t)*(0.5 - t*(0.3333333333333333333333-t*0.25));
 		u = ivln2_h*t;      /* ivln2_h has 21 sig. bits */
 		v = t*ivln2_l - w*ivln2;
@@ -239,12 +236,12 @@ double pow(double x, double y)
 
 		/* compute ss = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
 		u = ax - bp[k];        /* bp[0]=1.0, bp[1]=1.5 */
-		v = one/(ax+bp[k]);
+		v = 1.0/(ax+bp[k]);
 		ss = u*v;
 		s_h = ss;
 		SET_LOW_WORD(s_h, 0);
 		/* t_h=ax+bp[k] High */
-		t_h = zero;
+		t_h = 0.0;
 		SET_HIGH_WORD(t_h, ((ix>>1)|0x20000000) + 0x00080000 + (k<<18));
 		t_l = ax - (t_h-bp[k]);
 		s_l = v*((u-s_h*t_h)-s_h*t_l);
@@ -299,7 +296,7 @@ double pow(double x, double y)
 	if (i > 0x3fe00000) {  /* if |z| > 0.5, set n = [z+0.5] */
 		n = j + (0x00100000>>(k+1));
 		k = ((n&0x7fffffff)>>20) - 0x3ff;  /* new k for n */
-		t = zero;
+		t = 0.0;
 		SET_HIGH_WORD(t, n & ~(0x000fffff>>k));
 		n = ((n&0x000fffff)|0x00100000)>>(20-k);
 		if (j < 0)
@@ -314,8 +311,8 @@ double pow(double x, double y)
 	w = v - (z-u);
 	t = z*z;
 	t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
-	r = (z*t1)/(t1-two) - (w + z*w);
-	z = one - (r-z);
+	r = (z*t1)/(t1-2.0) - (w + z*w);
+	z = 1.0 - (r-z);
 	GET_HIGH_WORD(j, z);
 	j += n<<20;
 	if ((j>>20) <= 0)  /* subnormal output */

+ 14 - 17
src/math/powf.c

@@ -19,9 +19,6 @@ static const float
 bp[]   = {1.0, 1.5,},
 dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */
 dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */
-zero   =  0.0,
-one    =  1.0,
-two    =  2.0,
 two24  =  16777216.0,  /* 0x4b800000 */
 huge   =  1.0e30,
 tiny   =  1.0e-30,
@@ -60,15 +57,15 @@ float powf(float x, float y)
 	ix = hx & 0x7fffffff;
 	iy = hy & 0x7fffffff;
 
-	/* y == zero: x**0 = 1 */
+	/* y == 0: x**0 = 1 */
 	if (iy == 0)
-		return one;
+		return 1.0f;
 
 	/* x == 1: 1**y = 1, even if y is NaN */
 	if (hx == 0x3f800000)
-		return one;
+		return 1.0f;
 
-	/* y != zero: result is NaN if either arg is NaN */
+	/* y != 0: result is NaN if either arg is NaN */
 	if (ix > 0x7f800000 || iy > 0x7f800000)
 		return (x+0.0f) + (y+0.0f);
 
@@ -92,15 +89,15 @@ float powf(float x, float y)
 	/* special value of y */
 	if (iy == 0x7f800000) {  /* y is +-inf */
 		if (ix == 0x3f800000)      /* (-1)**+-inf is 1 */
-			return one;
+			return 1.0f;
 		else if (ix > 0x3f800000)  /* (|x|>1)**+-inf = inf,0 */
-			return hy >= 0 ? y : zero;
+			return hy >= 0 ? y : 0.0f;
 		else                       /* (|x|<1)**+-inf = 0,inf */
-			return hy < 0 ? -y : zero;
+			return hy < 0 ? -y : 0.0f;
 	}
 	if (iy == 0x3f800000) {  /* y is +-1 */
 		if (hy < 0)
-			return one/x;
+			return 1.0f/x;
 		return x;
 	}
 	if (hy == 0x40000000)    /* y is 2 */
@@ -115,7 +112,7 @@ float powf(float x, float y)
 	if (ix == 0x7f800000 || ix == 0 || ix == 0x3f800000) { /* x is +-0,+-inf,+-1 */
 		z = ax;
 		if (hy < 0)  /* z = (1/|x|) */
-			z = one/z;
+			z = 1.0f/z;
 		if (hx < 0) {
 			if (((ix-0x3f800000)|yisint) == 0) {
 				z = (z-z)/(z-z); /* (-1)**non-int is NaN */
@@ -131,9 +128,9 @@ float powf(float x, float y)
 	if ((n|yisint) == 0)
 		return (x-x)/(x-x);
 
-	sn = one; /* s (sign of result -ve**odd) = -1 else = 1 */
+	sn = 1.0f; /* s (sign of result -ve**odd) = -1 else = 1 */
 	if ((n|(yisint-1)) == 0)  /* (-ve)**(odd int) */
-		sn = -one;
+		sn = -1.0f;
 
 	/* |y| is huge */
 	if (iy > 0x4d000000) { /* if |y| > 2**27 */
@@ -178,7 +175,7 @@ float powf(float x, float y)
 
 		/* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
 		u = ax - bp[k];   /* bp[0]=1.0, bp[1]=1.5 */
-		v = one/(ax+bp[k]);
+		v = 1.0f/(ax+bp[k]);
 		s = u*v;
 		s_h = s;
 		GET_FLOAT_WORD(is, s_h);
@@ -257,8 +254,8 @@ float powf(float x, float y)
 	w = v - (z - u);
 	t = z*z;
 	t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
-	r = (z*t1)/(t1-two) - (w+z*w);
-	z = one - (r - z);
+	r = (z*t1)/(t1-2.0f) - (w+z*w);
+	z = 1.0f - (r - z);
 	GET_FLOAT_WORD(j, z);
 	j += n<<23;
 	if ((j>>23) <= 0)  /* subnormal output */

+ 1 - 1
src/math/remquol.c

@@ -48,7 +48,7 @@ typedef uint32_t manh_t;
 
 #define MANL_SHIFT      (LDBL_MANL_SIZE - 1)
 
-static const long double Zero[] = {0.0L, -0.0L};
+static const long double Zero[] = {0.0, -0.0};
 
 /*
  * Return the IEEE remainder and set *quo to the last n bits of the

+ 1 - 1
src/math/rintl.c

@@ -79,7 +79,7 @@ long double rintl(long double x)
 	 * If the result is +-0, then it must have the same sign as x, but
 	 * the above calculation doesn't always give this.  Fix up the sign.
 	 */
-	if (ex < BIAS && x == 0.0L)
+	if (ex < BIAS && x == 0.0)
 		return zero[sign];
 
 	return x;

+ 1 - 1
src/math/scalbnl.c

@@ -29,7 +29,7 @@ long double scalbnl(long double x, int n)
 				return x * 0x1p-16382L;
 		}
 	}
-	scale.e = 1.0L;
+	scale.e = 1.0;
 	scale.bits.exp = 0x3fff + n;
 	return x * scale.e;
 }

+ 4 - 4
src/math/sinh.c

@@ -29,7 +29,7 @@
 
 #include "libm.h"
 
-static const double one = 1.0, huge = 1.0e307;
+static const double huge = 1.0e307;
 
 double sinh(double x)
 {
@@ -50,12 +50,12 @@ double sinh(double x)
 	if (ix < 0x40360000) {  /* |x|<22 */
 		if (ix < 0x3e300000)  /* |x|<2**-28 */
 			/* raise inexact, return x */
-			if (huge+x > one)
+			if (huge+x > 1.0)
 				return x;
 		t = expm1(fabs(x));
 		if (ix < 0x3ff00000)
-			return h*(2.0*t - t*t/(t+one));
-		return h*(t + t/(t+one));
+			return h*(2.0*t - t*t/(t+1.0));
+		return h*(t + t/(t+1.0));
 	}
 
 	/* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */

+ 4 - 4
src/math/sinhf.c

@@ -15,7 +15,7 @@
 
 #include "libm.h"
 
-static const float one = 1.0, huge = 1.0e37;
+static const float huge = 1.0e37;
 
 float sinhf(float x)
 {
@@ -36,12 +36,12 @@ float sinhf(float x)
 	if (ix < 0x41100000) {   /* |x|<9 */
 		if (ix < 0x39800000)  /* |x|<2**-12 */
 			/* raise inexact, return x */
-			if (huge+x > one)
+			if (huge+x > 1.0f)
 				return x;
 		t = expm1f(fabsf(x));
 		if (ix < 0x3f800000)
-			return h*(2.0f*t - t*t/(t+one));
-		return h*(t + t/(t+one));
+			return h*(2.0f*t - t*t/(t+1.0f));
+		return h*(t + t/(t+1.0f));
 	}
 
 	/* |x| in [9, logf(maxfloat)] return 0.5*exp(|x|) */

+ 4 - 4
src/math/sinhl.c

@@ -35,7 +35,7 @@ long double sinhl(long double x)
 	return sinh(x);
 }
 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
-static const long double one = 1.0, huge = 1.0e4931L;
+static const long double huge = 1.0e4931L;
 
 long double sinhl(long double x)
 {
@@ -55,12 +55,12 @@ long double sinhl(long double x)
 	/* |x| in [0,25], return sign(x)*0.5*(E+E/(E+1))) */
 	if (ix < 0x4003 || (ix == 0x4003 && i0 <= 0xc8000000)) { /* |x| < 25 */
 		if (ix < 0x3fdf)  /* |x|<2**-32 */
-			if (huge + x > one)
+			if (huge + x > 1.0)
 				return x;/* sinh(tiny) = tiny with inexact */
 		t = expm1l(fabsl(x));
 		if (ix < 0x3fff)
-			return h*(2.0*t - t*t/(t + one));
-		return h*(t + t/(t + one));
+			return h*(2.0*t - t*t/(t + 1.0));
+		return h*(t + t/(t + 1.0));
 	}
 
 	/* |x| in [25, log(maxdouble)] return 0.5*exp(|x|) */

+ 5 - 5
src/math/sqrt.c

@@ -78,7 +78,7 @@
 
 #include "libm.h"
 
-static const double one = 1.0, tiny = 1.0e-300;
+static const double tiny = 1.0e-300;
 
 double sqrt(double x)
 {
@@ -161,13 +161,13 @@ double sqrt(double x)
 
 	/* use floating add to find out rounding direction */
 	if ((ix0|ix1) != 0) {
-		z = one - tiny; /* raise inexact flag */
-		if (z >= one) {
-			z = one + tiny;
+		z = 1.0 - tiny; /* raise inexact flag */
+		if (z >= 1.0) {
+			z = 1.0 + tiny;
 			if (q1 == (uint32_t)0xffffffff) {
 				q1 = 0;
 				q++;
-			} else if (z > one) {
+			} else if (z > 1.0) {
 				if (q1 == (uint32_t)0xfffffffe)
 					q++;
 				q1 += 2;

+ 5 - 5
src/math/sqrtf.c

@@ -15,7 +15,7 @@
 
 #include "libm.h"
 
-static const float one = 1.0, tiny = 1.0e-30;
+static const float tiny = 1.0e-30;
 
 float sqrtf(float x)
 {
@@ -68,10 +68,10 @@ float sqrtf(float x)
 
 	/* use floating add to find out rounding direction */
 	if (ix != 0) {
-		z = one - tiny; /* raise inexact flag */
-		if (z >= one) {
-			z = one + tiny;
-			if (z > one)
+		z = 1.0f - tiny; /* raise inexact flag */
+		if (z >= 1.0f) {
+			z = 1.0f + tiny;
+			if (z > 1.0f)
 				q += 2;
 			else
 				q += q & 1;

+ 9 - 9
src/math/tanh.c

@@ -35,7 +35,7 @@
 
 #include "libm.h"
 
-static const double one = 1.0, two = 2.0, tiny = 1.0e-300, huge = 1.0e300;
+static const double tiny = 1.0e-300, huge = 1.0e300;
 
 double tanh(double x)
 {
@@ -48,26 +48,26 @@ double tanh(double x)
 	/* x is INF or NaN */
 	if (ix >= 0x7ff00000) {
 		if (jx >= 0)
-			return one/x + one;  /* tanh(+-inf)=+-1 */
+			return 1.0f/x + 1.0f;  /* tanh(+-inf)=+-1 */
 		else
-			return one/x - one;  /* tanh(NaN) = NaN */
+			return 1.0f/x - 1.0f;  /* tanh(NaN) = NaN */
 	}
 
 	if (ix < 0x40360000) {  /* |x| < 22 */
 		if (ix < 0x3e300000) {  /* |x| < 2**-28 */
 			/* tanh(tiny) = tiny with inexact */
-			if (huge+x > one)
+			if (huge+x > 1.0f)
 				return x;
 		}
 		if (ix >= 0x3ff00000) {  /* |x| >= 1  */
-			t = expm1(two*fabs(x));
-			z = one - two/(t+two);
+			t = expm1(2.0f*fabs(x));
+			z = 1.0f - 2.0f/(t+2.0f);
 		} else {
-			t = expm1(-two*fabs(x));
-			z= -t/(t+two);
+			t = expm1(-2.0f*fabs(x));
+			z= -t/(t+2.0f);
 		}
 	} else {  /* |x| >= 22, return +-1 */
-		z = one - tiny;  /* raise inexact */
+		z = 1.0f - tiny;  /* raise inexact */
 	}
 	return jx >= 0 ? z : -z;
 }

+ 11 - 9
src/math/tanhf.c

@@ -15,7 +15,9 @@
 
 #include "libm.h"
 
-static const float one = 1.0, two = 2.0, tiny = 1.0e-30, huge = 1.0e30;
+static const float
+tiny = 1.0e-30,
+huge = 1.0e30;
 
 float tanhf(float x)
 {
@@ -28,26 +30,26 @@ float tanhf(float x)
 	/* x is INF or NaN */
 	if(ix >= 0x7f800000) {
 		if (jx >= 0)
-			return one/x + one;  /* tanh(+-inf)=+-1 */
+			return 1.0f/x + 1.0f;  /* tanh(+-inf)=+-1 */
 		else
-			return one/x - one;  /* tanh(NaN) = NaN */
+			return 1.0f/x - 1.0f;  /* tanh(NaN) = NaN */
 	}
 
 	if (ix < 0x41100000) {  /* |x| < 9 */
 		if (ix < 0x39800000) {  /* |x| < 2**-12 */
 			/* tanh(tiny) = tiny with inexact */
-			if (huge+x > one)
+			if (huge+x > 1.0f)
 				return x;
 		}
 		if (ix >= 0x3f800000) {  /* |x|>=1  */
-			t = expm1f(two*fabsf(x));
-			z = one - two/(t+two);
+			t = expm1f(2.0f*fabsf(x));
+			z = 1.0f - 2.0f/(t+2.0f);
 		} else {
-			t = expm1f(-two*fabsf(x));
-			z = -t/(t+two);
+			t = expm1f(-2.0f*fabsf(x));
+			z = -t/(t+2.0f);
 		}
 	} else {  /* |x| >= 9, return +-1 */
-		z = one - tiny;  /* raise inexact */
+		z = 1.0f - tiny;  /* raise inexact */
 	}
 	return jx >= 0 ? z : -z;
 }

+ 9 - 9
src/math/tanhl.c

@@ -41,7 +41,7 @@ long double tanhl(long double x)
 	return tanh(x);
 }
 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
-static const long double one=1.0, two=2.0, tiny = 1.0e-4900L;
+static const long double tiny = 1.0e-4900L;
 
 long double tanhl(long double x)
 {
@@ -57,8 +57,8 @@ long double tanhl(long double x)
 	if (ix == 0x7fff) {
 		/* for NaN it's not important which branch: tanhl(NaN) = NaN */
 		if (se & 0x8000)
-			return one/x-one;  /* tanhl(-inf)= -1; */
-		return one/x+one;          /* tanhl(+inf)= +1 */
+			return 1.0/x-1.0;  /* tanhl(-inf)= -1; */
+		return 1.0/x+1.0;          /* tanhl(+inf)= +1 */
 	}
 
 	/* |x| < 23 */
@@ -66,17 +66,17 @@ long double tanhl(long double x)
 		if ((ix|jj0|jj1) == 0) /* x == +- 0 */
 			return x;
 		if (ix < 0x3fc8)       /* |x| < 2**-55 */
-			return x*(one+tiny);  /* tanh(small) = small */
+			return x*(1.0+tiny);  /* tanh(small) = small */
 		if (ix >= 0x3fff) {    /* |x| >= 1  */
-			t = expm1l(two*fabsl(x));
-			z = one - two/(t+two);
+			t = expm1l(2.0*fabsl(x));
+			z = 1.0 - 2.0/(t+2.0);
 		} else {
-			t = expm1l(-two*fabsl(x));
-			z = -t/(t+two);
+			t = expm1l(-2.0*fabsl(x));
+			z = -t/(t+2.0);
 		}
 	/* |x| > 23, return +-1 */
 	} else {
-		z = one - tiny;  /* raise inexact flag */
+		z = 1.0 - tiny;  /* raise inexact flag */
 	}
 	return se & 0x8000 ? -z : z;
 }

+ 17 - 17
src/math/tgammal.c

@@ -183,18 +183,18 @@ static long double stirf(long double x)
 {
 	long double y, w, v;
 
-	w = 1.0L/x;
+	w = 1.0/x;
 	/* For large x, use rational coefficients from the analytical expansion.  */
-	if (x > 1024.0L)
+	if (x > 1024.0)
 		w = (((((6.97281375836585777429E-5L * w
 		 + 7.84039221720066627474E-4L) * w
 		 - 2.29472093621399176955E-4L) * w
 		 - 2.68132716049382716049E-3L) * w
 		 + 3.47222222222222222222E-3L) * w
 		 + 8.33333333333333333333E-2L) * w
-		 + 1.0L;
+		 + 1.0;
 	else
-		w = 1.0L + w * __polevll(w, STIR, 8);
+		w = 1.0 + w * __polevll(w, STIR, 8);
 	y = expl(x);
 	if (x > MAXSTIR) { /* Avoid overflow in pow() */
 		v = powl(x, 0.5L * x - 0.25L);
@@ -219,10 +219,10 @@ long double tgammal(long double x)
 	if (x == -INFINITY)
 		return x - x;
 	q = fabsl(x);
-	if (q > 13.0L) {
+	if (q > 13.0) {
 		if (q > MAXGAML)
 			goto goverf;
-		if (x < 0.0L) {
+		if (x < 0.0) {
 			p = floorl(q);
 			if (p == q)
 				return (x - x) / (x - x);
@@ -231,7 +231,7 @@ long double tgammal(long double x)
 				signgam = -1;
 			z = q - p;
 			if (z > 0.5L) {
-				p += 1.0L;
+				p += 1.0;
 				z = q - p;
 			}
 			z = q * sinl(PIL * z);
@@ -247,25 +247,25 @@ goverf:
 		return signgam * z;
 	}
 
-	z = 1.0L;
-	while (x >= 3.0L) {
-		x -= 1.0L;
+	z = 1.0;
+	while (x >= 3.0) {
+		x -= 1.0;
 		z *= x;
 	}
 	while (x < -0.03125L) {
 		z /= x;
-		x += 1.0L;
+		x += 1.0;
 	}
 	if (x <= 0.03125L)
 		goto small;
-	while (x < 2.0L) {
+	while (x < 2.0) {
 		z /= x;
-		x += 1.0L;
+		x += 1.0;
 	}
-	if (x == 2.0L)
+	if (x == 2.0)
 		return z;
 
-	x -= 2.0L;
+	x -= 2.0;
 	p = __polevll(x, P, 7);
 	q = __polevll(x, Q, 8);
 	z = z * p / q;
@@ -274,9 +274,9 @@ goverf:
 	return z;
 
 small:
-	if (x == 0.0L)
+	if (x == 0.0)
 		return (x - x) / (x - x);
-	if (x < 0.0L) {
+	if (x < 0.0) {
 		x = -x;
 		q = z / (x * __polevll(x, SN, 8));
 		signgam = -1;