fix loads of missing const in new libm, and some global vars (?!) in powl

src/internal/libm.h

@@ -140,8 +140,8 @@ long double __cosl(long double, long double);
 long double __tanl(long double, long double, int);
 
 /* polynomial evaluation */
-long double __polevll(long double, long double *, int);
-long double __p1evll(long double, long double *, int);
+long double __polevll(long double, const long double *, int);
+long double __p1evll(long double, const long double *, int);
 
 // FIXME: not needed when -fexcess-precision=standard is supported (>=gcc4.5)
 /*

src/math/__polevll.c

@@ -60,7 +60,7 @@
  * Polynomial evaluator:
  *  P[0] x^n  +  P[1] x^(n-1)  +  ...  +  P[n]
  */
-long double __polevll(long double x, long double *P, int n)
+long double __polevll(long double x, const long double *P, int n)
 {
 	long double y;
 
@@ -76,7 +76,7 @@ long double __polevll(long double x, long double *P, int n)
  * Polynomial evaluator:
  *  x^n  +  P[0] x^(n-1)  +  P[1] x^(n-2)  +  ...  +  P[n]
  */
-long double __p1evll(long double x, long double *P, int n)
+long double __p1evll(long double x, const long double *P, int n)
 {
 	long double y;
 

src/math/acos.c

@@ -39,7 +39,7 @@ static const double
 one =  1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
 pi  =  3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
 pio2_hi = 1.57079632679489655800e+00; /* 0x3FF921FB, 0x54442D18 */
-static volatile double
+static const volatile double
 pio2_lo = 6.12323399573676603587e-17; /* 0x3C91A626, 0x33145C07 */
 static const double
 pS0 =  1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */

src/math/acosf.c

@@ -19,7 +19,7 @@ static const float
 one = 1.0000000000e+00, /* 0x3F800000 */
 pi  = 3.1415925026e+00, /* 0x40490fda */
 pio2_hi = 1.5707962513e+00; /* 0x3fc90fda */
-static volatile float
+static const volatile float
 pio2_lo = 7.5497894159e-08; /* 0x33a22168 */
 static const float
 pS0 =  1.6666586697e-01,

src/math/acosl.c

@@ -30,7 +30,7 @@ one = 1.00000000000000000000e+00;
 // FIXME
 //#ifdef __i386__
 /* XXX Work around the fact that gcc truncates long double constants on i386 */
-static volatile double
+static const volatile double
 pi1 = 3.14159265358979311600e+00, /* 0x1.921fb54442d18p+1 */
 pi2 = 1.22514845490862001043e-16; /* 0x1.1a80000000000p-53 */
 #define pi ((long double)pi1 + pi2)

src/math/atan2.c

@@ -39,14 +39,14 @@
 
 #include "libm.h"
 
-static volatile double
+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 */
-static volatile double
+static const volatile double
 pi_lo  = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */
 
 double atan2(double y, double x)

src/math/atan2f.c

@@ -15,14 +15,14 @@
 
 #include "libm.h"
 
-static volatile float
+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 */
-static volatile float
+static const volatile float
 pi_lo  = -8.7422776573e-08; /* 0xb3bbbd2e */
 
 float atan2f(float y, float x)

src/math/atan2l.c

@@ -24,12 +24,12 @@ long double atan2l(long double y, long double x)
 }
 #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
 #include "__invtrigl.h"
-static volatile long double
+static const volatile long double
 tiny = 1.0e-300;
 static const long double
 zero = 0.0;
 /* XXX Work around the fact that gcc truncates long double constants on i386 */
-static volatile double
+static const volatile double
 pi1 = 3.14159265358979311600e+00, /* 0x1.921fb54442d18p+1  */
 pi2 = 1.22514845490862001043e-16; /* 0x1.1a80000000000p-53 */
 #define pi ((long double)pi1 + pi2)

src/math/exp.c

@@ -90,7 +90,7 @@ P3   =  6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
 P4   = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
 P5   =  4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */
 
-static volatile double
+static const volatile double
 twom1000 = 9.33263618503218878990e-302; /* 2**-1000=0x01700000,0 */
 
 double exp(double x)

src/math/exp2.c

@@ -39,7 +39,7 @@ P3    = 0x1.c6b08d704a0a6p-5,
 P4    = 0x1.3b2ab88f70400p-7,
 P5    = 0x1.5d88003875c74p-10;
 
-static volatile double twom1000 = 0x1p-1000;
+static const volatile double twom1000 = 0x1p-1000;
 
 static const double tbl[TBLSIZE * 2] = {
 /*  exp2(z + eps)          eps     */

src/math/exp2f.c

@@ -38,7 +38,7 @@ P2    = 0x1.ebfbe0p-3f,
 P3    = 0x1.c6b348p-5f,
 P4    = 0x1.3b2c9cp-7f;
 
-static volatile float twom100 = 0x1p-100f;
+static const volatile float twom100 = 0x1p-100f;
 
 static const double exp2ft[TBLSIZE] = {
   0x1.6a09e667f3bcdp-1,

src/math/exp2l.c

@@ -42,7 +42,7 @@ long double exp2l(long double x)
 
 static const long double huge = 0x1p10000L;
 /* XXX Prevent gcc from erroneously constant folding this. */
-static volatile long double twom10000 = 0x1p-10000L;
+static const volatile long double twom10000 = 0x1p-10000L;
 
 static const double
 redux = 0x1.8p63 / TBLSIZE,

src/math/expf.c

@@ -33,7 +33,7 @@ invln2 = 1.4426950216e+00,        /* 0x3fb8aa3b */
 P1 =  1.6666625440e-1, /*  0xaaaa8f.0p-26 */
 P2 = -2.7667332906e-3; /* -0xb55215.0p-32 */
 
-static volatile float twom100 = 7.8886090522e-31; /* 2**-100=0x0d800000 */
+static const volatile float twom100 = 7.8886090522e-31; /* 2**-100=0x0d800000 */
 
 float expf(float x)
 {

src/math/expl.c

@@ -74,12 +74,12 @@ long double expl(long double x)
 }
 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
 
-static long double P[3] = {
+static const long double P[3] = {
  1.2617719307481059087798E-4L,
  3.0299440770744196129956E-2L,
  9.9999999999999999991025E-1L,
 };
-static long double Q[4] = {
+static const long double Q[4] = {
  3.0019850513866445504159E-6L,
  2.5244834034968410419224E-3L,
  2.2726554820815502876593E-1L,

src/math/log10l.c

@@ -69,7 +69,7 @@ long double log10l(long double x)
  * 1/sqrt(2) <= x < sqrt(2)
  * Theoretical peak relative error = 6.2e-22
  */
-static long double P[] = {
+static const long double P[] = {
  4.9962495940332550844739E-1L,
  1.0767376367209449010438E1L,
  7.7671073698359539859595E1L,
@@ -78,7 +78,7 @@ static long double P[] = {
  3.4258224542413922935104E2L,
  1.0747524399916215149070E2L,
 };
-static long double Q[] = {
+static const long double Q[] = {
 /* 1.0000000000000000000000E0,*/
  2.3479774160285863271658E1L,
  1.9444210022760132894510E2L,
@@ -94,13 +94,13 @@ static long double Q[] = {
  * 1/sqrt(2) <= x < sqrt(2)
  * Theoretical peak relative error = 6.16e-22
  */
-static long double R[4] = {
+static const long double R[4] = {
  1.9757429581415468984296E-3L,
 -7.1990767473014147232598E-1L,
  1.0777257190312272158094E1L,
 -3.5717684488096787370998E1L,
 };
-static long double S[4] = {
+static const long double S[4] = {
 /* 1.00000000000000000000E0L,*/
 -2.6201045551331104417768E1L,
  1.9361891836232102174846E2L,

src/math/log1pl.c

@@ -65,7 +65,7 @@ long double log1pl(long double x)
  * 1/sqrt(2) <= x < sqrt(2)
  * Theoretical peak relative error = 2.32e-20
  */
-static long double P[] = {
+static const long double P[] = {
  4.5270000862445199635215E-5L,
  4.9854102823193375972212E-1L,
  6.5787325942061044846969E0L,
@@ -74,7 +74,7 @@ static long double P[] = {
  5.7112963590585538103336E1L,
  2.0039553499201281259648E1L,
 };
-static long double Q[] = {
+static const long double Q[] = {
 /* 1.0000000000000000000000E0,*/
  1.5062909083469192043167E1L,
  8.3047565967967209469434E1L,
@@ -89,13 +89,13 @@ static long double Q[] = {
  * 1/sqrt(2) <= x < sqrt(2)
  * Theoretical peak relative error = 6.16e-22
  */
-static long double R[4] = {
+static const long double R[4] = {
  1.9757429581415468984296E-3L,
 -7.1990767473014147232598E-1L,
  1.0777257190312272158094E1L,
 -3.5717684488096787370998E1L,
 };
-static long double S[4] = {
+static const long double S[4] = {
 /* 1.00000000000000000000E0L,*/
 -2.6201045551331104417768E1L,
  1.9361891836232102174846E2L,

src/math/log2l.c

@@ -69,7 +69,7 @@ long double log2l(long double x)
  * 1/sqrt(2) <= x < sqrt(2)
  * Theoretical peak relative error = 6.2e-22
  */
-static long double P[] = {
+static const long double P[] = {
  4.9962495940332550844739E-1L,
  1.0767376367209449010438E1L,
  7.7671073698359539859595E1L,
@@ -78,7 +78,7 @@ static long double P[] = {
  3.4258224542413922935104E2L,
  1.0747524399916215149070E2L,
 };
-static long double Q[] = {
+static const long double Q[] = {
 /* 1.0000000000000000000000E0,*/
  2.3479774160285863271658E1L,
  1.9444210022760132894510E2L,
@@ -94,13 +94,13 @@ static long double Q[] = {
  * 1/sqrt(2) <= x < sqrt(2)
  * Theoretical peak relative error = 6.16e-22
  */
-static long double R[4] = {
+static const long double R[4] = {
  1.9757429581415468984296E-3L,
 -7.1990767473014147232598E-1L,
  1.0777257190312272158094E1L,
 -3.5717684488096787370998E1L,
 };
-static long double S[4] = {
+static const long double S[4] = {
 /* 1.00000000000000000000E0L,*/
 -2.6201045551331104417768E1L,
  1.9361891836232102174846E2L,

src/math/logl.c

@@ -69,7 +69,7 @@ long double logl(long double x)
  * 1/sqrt(2) <= x < sqrt(2)
  * Theoretical peak relative error = 2.32e-20
  */
-static long double P[] = {
+static const long double P[] = {
  4.5270000862445199635215E-5L,
  4.9854102823193375972212E-1L,
  6.5787325942061044846969E0L,
@@ -78,7 +78,7 @@ static long double P[] = {
  5.7112963590585538103336E1L,
  2.0039553499201281259648E1L,
 };
-static long double Q[] = {
+static const long double Q[] = {
 /* 1.0000000000000000000000E0,*/
  1.5062909083469192043167E1L,
  8.3047565967967209469434E1L,
@@ -93,13 +93,13 @@ static long double Q[] = {
  * 1/sqrt(2) <= x < sqrt(2)
  * Theoretical peak relative error = 6.16e-22
  */
-static long double R[4] = {
+static const long double R[4] = {
  1.9757429581415468984296E-3L,
 -7.1990767473014147232598E-1L,
  1.0777257190312272158094E1L,
 -3.5717684488096787370998E1L,
 };
-static long double S[4] = {
+static const long double S[4] = {
 /* 1.00000000000000000000E0L,*/
 -2.6201045551331104417768E1L,
  1.9361891836232102174846E2L,

src/math/powl.c

@@ -84,13 +84,13 @@ long double powl(long double x, long double y)
 /* log(1+x) =  x - .5x^2 + x^3 *  P(z)/Q(z)
  * on the domain  2^(-1/32) - 1  <=  x  <=  2^(1/32) - 1
  */
-static long double P[] = {
+static const long double P[] = {
  8.3319510773868690346226E-4L,
  4.9000050881978028599627E-1L,
  1.7500123722550302671919E0L,
  1.4000100839971580279335E0L,
 };
-static long double Q[] = {
+static const long double Q[] = {
 /* 1.0000000000000000000000E0L,*/
  5.2500282295834889175431E0L,
  8.4000598057587009834666E0L,
@@ -99,7 +99,7 @@ static long double Q[] = {
 /* A[i] = 2^(-i/32), rounded to IEEE long double precision.
  * If i is even, A[i] + B[i/2] gives additional accuracy.
  */
-static long double A[33] = {
+static const long double A[33] = {
  1.0000000000000000000000E0L,
  9.7857206208770013448287E-1L,
  9.5760328069857364691013E-1L,
@@ -134,7 +134,7 @@ static long double A[33] = {
  5.1094857432705833910408E-1L,
  5.0000000000000000000000E-1L,
 };
-static long double B[17] = {
+static const long double B[17] = {
  0.0000000000000000000000E0L,
  2.6176170809902549338711E-20L,
 -1.0126791927256478897086E-20L,
@@ -157,7 +157,7 @@ static long double B[17] = {
 /* 2^x = 1 + x P(x),
  * on the interval -1/32 <= x <= 0
  */
-static long double R[] = {
+static const long double R[] = {
  1.5089970579127659901157E-5L,
  1.5402715328927013076125E-4L,
  1.3333556028915671091390E-3L,
@@ -188,11 +188,9 @@ static long double R[] = {
 static const long double MAXLOGL = 1.1356523406294143949492E4L;
 static const long double MINLOGL = -1.13994985314888605586758E4L;
 static const long double LOGE2L = 6.9314718055994530941723E-1L;
-static volatile long double z;
-static long double w, W, Wa, Wb, ya, yb, u;
 static const long double huge = 0x1p10000L;
 /* XXX Prevent gcc from erroneously constant folding this. */
-static volatile long double twom10000 = 0x1p-10000L;
+static const volatile long double twom10000 = 0x1p-10000L;
 
 static long double reducl(long double);
 static long double powil(long double, int);
@@ -202,6 +200,8 @@ long double powl(long double x, long double y)
 	/* double F, Fa, Fb, G, Ga, Gb, H, Ha, Hb */
 	int i, nflg, iyflg, yoddint;
 	long e;
+	volatile long double z=0;
+	long double w=0, W=0, Wa=0, Wb=0, ya=0, yb=0, u=0;
 
 	if (y == 0.0L)
 		return 1.0L;

src/math/tgammal.c

@@ -68,7 +68,7 @@ n=7, d=8
 Peak error =  1.83e-20
 Relative error spread =  8.4e-23
 */
-static long double P[8] = {
+static const long double P[8] = {
  4.212760487471622013093E-5L,
  4.542931960608009155600E-4L,
  4.092666828394035500949E-3L,
@@ -78,7 +78,7 @@ static long double P[8] = {
  8.378004301573126728826E-1L,
  1.000000000000000000009E0L,
 };
-static long double Q[9] = {
+static const long double Q[9] = {
 -1.397148517476170440917E-5L,
  2.346584059160635244282E-4L,
 -1.237799246653152231188E-3L,
@@ -91,7 +91,7 @@ static long double Q[9] = {
 };
 
 /*
-static long double P[] = {
+static const long double P[] = {
 -3.01525602666895735709e0L,
 -3.25157411956062339893e1L,
 -2.92929976820724030353e2L,
@@ -101,7 +101,7 @@ static long double P[] = {
 -5.99650230220855581642e4L,
 -7.15743521530849602425e4L
 };
-static long double Q[] = {
+static const long double Q[] = {
  1.00000000000000000000e0L,
 -1.67955233807178858919e1L,
  8.85946791747759881659e1L,
@@ -125,7 +125,7 @@ n=8, d=0
 Peak error =  9.44e-21
 Relative error spread =  8.8e-4
 */
-static long double STIR[9] = {
+static const long double STIR[9] = {
  7.147391378143610789273E-4L,
 -2.363848809501759061727E-5L,
 -5.950237554056330156018E-4L,
@@ -145,7 +145,7 @@ static const long double SQTPI = 2.50662827463100050242E0L;
  * 0 < x < 0.03125
  * Peak relative error 4.2e-23
  */
-static long double S[9] = {
+static const long double S[9] = {
 -1.193945051381510095614E-3L,
  7.220599478036909672331E-3L,
 -9.622023360406271645744E-3L,
@@ -163,7 +163,7 @@ static long double S[9] = {
  * Peak relative error 5.16e-23
  * Relative error spread =  2.5e-24
  */
-static long double SN[9] = {
+static const long double SN[9] = {
  1.133374167243894382010E-3L,
  7.220837261893170325704E-3L,
  9.621911155035976733706E-3L,