Remove unused math files

Remove empty files due to the sin/cos improvements: k_sinf.c, k_cosf.c,
k_cos.c, k_sin.c.  After the tanf change s_rem_pio2f.c and k_rem_pio2f.c
(and the ia64, m68k and powerpc equivalents) are no longer used,
so remove them.  All e_rem_pio2.c files were already empty or commented
out, so remove them too.  Passes build-many-glibcs.

	* math/Makefile: Remove empty files k_sin(f).c, k_cos(f).c.
	Remove unused files e_rem_pio2(f).c, k_rem_pio2f.c.
	* sysdeps/i386/fpu/e_rem_pio2.c: Delete file.
	* sysdeps/ia64/fpu/e_rem_pio2.c: Likewise.
	* sysdeps/ia64/fpu/e_rem_pio2f.c: Likewise.
	* sysdeps/ia64/fpu/k_rem_pio2f.c: Likewise.
	* sysdeps/ieee754/dbl-64/e_rem_pio2.c: Likewise.
	* sysdeps/ieee754/dbl-64/k_cos.c: Likewise.
	* sysdeps/ieee754/dbl-64/k_sin.c: Likewise.
	* sysdeps/ieee754/flt-32/e_rem_pio2f.c: Likewise.
	* sysdeps/ieee754/flt-32/k_cosf.c: Likewise.
	* sysdeps/ieee754/flt-32/k_rem_pio2f.c: Likewise.
	* sysdeps/ieee754/flt-32/k_sinf.c: Likewise.
	* sysdeps/m68k/m680x0/fpu/e_rem_pio2.c: Likewise
	* sysdeps/m68k/m680x0/fpu/e_rem_pio2f.c: Likewise
	* sysdeps/m68k/m680x0/fpu/k_rem_pio2f.c: Likewise
	* sysdeps/powerpc/fpu/e_rem_pio2f.c: Likewise.
	* sysdeps/powerpc/fpu/k_rem_pio2f.c: Likewise.

2 files changed, 0 insertions, 461 deletions

diff --git a/sysdeps/powerpc/fpu/e_rem_pio2f.c b/sysdeps/powerpc/fpu/e_rem_pio2f.c
deleted file mode 100644
index 30fd53e..0000000
--- a/sysdeps/powerpc/fpu/e_rem_pio2f.c
+++ /dev/null
@@ -1,188 +0,0 @@
-/* e_rem_pio2f.c -- float version of e_rem_pio2.c
-   Copyright (C) 2011-2018 Free Software Foundation, Inc.
-   This file is part of the GNU C Library.
-   Contributed by Adhemerval Zanella <azanella@br.ibm.com>, 2011
-
-   The GNU C Library is free software; you can redistribute it and/or
-   modify it under the terms of the GNU Library General Public License as
-   published by the Free Software Foundation; either version 2 of the
-   License, or (at your option) any later version.
-
-   The GNU C Library is distributed in the hope that it will be useful,
-   but WITHOUT ANY WARRANTY; without even the implied warranty of
-   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
-   Library General Public License for more details.
-
-   You should have received a copy of the GNU Library General Public
-   License along with the GNU C Library; see the file COPYING.LIB.  If
-   not, see <http://www.gnu.org/licenses/>.  */
-
-#include <math.h>
-
-#include <math_private.h>
-#include "s_float_bitwise.h"
-
-/* defined in sysdeps/powerpc/fpu/k_rem_pio2f.c */
-int __fp_kernel_rem_pio2f (float *x, float *y, float e0, int32_t nx);
-
-/* __ieee754_rem_pio2f(x,y)
- *
- * return the remainder of x rem pi/2 in y[0]+y[1]
- */
-
-static const float npio2_hw[] = {
-  1.57077026e+00, 3.14154053e+00, 4.71228027e+00, 6.28308105e+00,
-  7.85388184e+00, 9.42456055e+00, 1.09953613e+01, 1.25661621e+01,
-  1.41369629e+01, 1.57077637e+01, 1.72783203e+01, 1.88491211e+01,
-  2.04199219e+01, 2.19907227e+01, 2.35615234e+01, 2.51323242e+01,
-  2.67031250e+01, 2.82739258e+01, 2.98447266e+01, 3.14155273e+01,
-  3.29863281e+01, 3.45566406e+01, 3.61279297e+01, 3.76982422e+01,
-  3.92695312e+01, 4.08398438e+01, 4.24111328e+01, 4.39814453e+01,
-  4.55527344e+01, 4.71230469e+01, 4.86943359e+01, 5.02646484e+01
-};
-
-
-static const float zero  = 0.0000000000e+00;
-static const float two8  = 2.5600000000e+02;
-
-static const float half    = 5.0000000000e-01;
-static const float invpio2 = 6.3661980629e-01;
-static const float pio2_1  = 1.5707855225e+00;
-static const float pio2_1t = 1.0804334124e-05;
-static const float pio2_2  = 1.0804273188e-05;
-static const float pio2_2t = 6.0770999344e-11;
-static const float pio2_3  = 6.0770943833e-11;
-static const float pio2_3t = 6.1232342629e-17;
-
-static const float pio4     = 7.8539801e-01;
-static const float pio3_4   = 2.3561945e+00;
-static const float pio2_24b = 1.5707951e+00;
-static const float pio2_2e7 = 2.0106054e+02;
-
-
-int32_t
-__ieee754_rem_pio2f (float x, float *y)
-{
-  float ax, z, n, r, w, t, e0;
-  float tx[3];
-  int32_t i, nx;
-
-  ax = __builtin_fabsf (x);
-  if (ax <= pio4)
-    {
-      y[0] = x;
-      y[1] = 0;
-      return 0;
-    }
-  if (ax < pio3_4)
-    {
-      if (x > 0)
-	{
-	  z = x - pio2_1;
-	  if (!__float_and_test28 (ax, pio2_24b))
-	    {
-	      y[0] = z - pio2_1t;
-	      y[1] = (z - y[0]) - pio2_1t;
-	    }
-	  else
-	    {
-	      z -= pio2_2;
-	      y[0] = z - pio2_2t;
-	      y[1] = (z - y[0]) - pio2_2t;
-	    }
-	  return 1;
-	}
-      else
-	{
-	  z = x + pio2_1;
-	  if (!__float_and_test28 (ax, pio2_24b))
-	    {
-	      y[0] = z + pio2_1t;
-	      y[1] = (z - y[0]) + pio2_1t;
-	    }
-	  else
-	    {
-	      z += pio2_2;
-	      y[0] = z + pio2_2t;
-	      y[1] = (z - y[0]) + pio2_2t;
-	    }
-	  return -1;
-	}
-    }
-  if (ax <= pio2_2e7)
-    {
-      n = __floorf (ax * invpio2 + half);
-      i = (int32_t) n;
-      r = ax - n * pio2_1;
-      w = n * pio2_1t;		/* 1st round good to 40 bit */
-      if (i < 32 && !__float_and_test24 (ax, npio2_hw[i - 1]))
-	{
-	  y[0] = r - w;
-	}
-      else
-	{
-	  float i, j;
-	  j = __float_and8 (ax);
-	  y[0] = r - w;
-	  i = __float_and8 (y[0]);
-	  if (j / i > 256.0 || j / i < 3.9062500e-3)
-	    {			/* 2nd iterations needed, good to 57 */
-	      t = r;
-	      w = n * pio2_2;
-	      r = t - w;
-	      w = n * pio2_2t - ((t - r) - w);
-	      y[0] = r - w;
-	      i = __float_and8 (y[0]);
-	      if (j / i > 33554432 || j / i < 2.9802322e-8)
-		{		/* 3rd iteration needed, 74 bits acc */
-		  t = r;
-		  w = n * pio2_3;
-		  r = t - w;
-		  w = n * pio2_3t - ((t - r) - w);
-		  y[0] = r - w;
-		}
-	    }
-	}
-      y[1] = (r - y[0]) - w;
-      if (x < 0)
-	{
-	  y[0] = -y[0];
-	  y[1] = -y[1];
-	  return -i;
-	}
-      else
-	{
-	  return i;
-	}
-    }
-
-  /* all other (large) arguments */
-  if (isnanf (x) || isinff (x))
-    {
-      y[0] = y[1] = x - x;
-      return 0;
-    }
-
-  /* set z = scalbn(|x|,ilogb(x)-7) */
-  e0 = __float_and8 (ax / 128.0);
-  z = ax / e0;
-
-  tx[0] = __floorf (z);
-  z = (z - tx[0]) * two8;
-  tx[1] = __floorf (z);
-  z = (z - tx[1]) * two8;
-  tx[2] = __floorf (z);
-
-  nx = 3;
-  while (tx[nx - 1] == zero)
-    nx--;
-
-  i = __fp_kernel_rem_pio2f (tx, y, e0, nx);
-  if (x < 0)
-    {
-      y[0] = -y[0];
-      y[1] = -y[1];
-      return -i;
-    }
-  return i;
-}
diff --git a/sysdeps/powerpc/fpu/k_rem_pio2f.c b/sysdeps/powerpc/fpu/k_rem_pio2f.c
deleted file mode 100644
index 7e5a08b..0000000
--- a/sysdeps/powerpc/fpu/k_rem_pio2f.c
+++ /dev/null
@@ -1,273 +0,0 @@
-/* k_rem_pio2f.c -- float version of e_rem_pio2.c
-   Copyright (C) 2011-2018 Free Software Foundation, Inc.
-   This file is part of the GNU C Library.
-   Contributed by Adhemerval Zanella <azanella@br.ibm.com>, 2011
-
-   The GNU C Library is free software; you can redistribute it and/or
-   modify it under the terms of the GNU Library General Public License as
-   published by the Free Software Foundation; either version 2 of the
-   License, or (at your option) any later version.
-
-   The GNU C Library is distributed in the hope that it will be useful,
-   but WITHOUT ANY WARRANTY; without even the implied warranty of
-   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
-   Library General Public License for more details.
-
-   You should have received a copy of the GNU Library General Public
-   License along with the GNU C Library; see the file COPYING.LIB.  If
-   not, see <http://www.gnu.org/licenses/>.  */
-
-#include <math.h>
-
-#include <math_private.h>
-#include "s_float_bitwise.h"
-
-
-static const float two_over_pi[] = {
-  1.62000000e+02, 2.49000000e+02, 1.31000000e+02, 1.10000000e+02,
-  7.80000000e+01, 6.80000000e+01, 2.10000000e+01, 4.10000000e+01,
-  2.52000000e+02, 3.90000000e+01, 8.70000000e+01, 2.09000000e+02,
-  2.45000000e+02, 5.20000000e+01, 2.21000000e+02, 1.92000000e+02,
-  2.19000000e+02, 9.80000000e+01, 1.49000000e+02, 1.53000000e+02,
-  6.00000000e+01, 6.70000000e+01, 1.44000000e+02, 6.50000000e+01,
-  2.54000000e+02, 8.10000000e+01, 9.90000000e+01, 1.71000000e+02,
-  2.22000000e+02, 1.87000000e+02, 1.97000000e+02, 9.70000000e+01,
-  1.83000000e+02, 3.60000000e+01, 1.10000000e+02, 5.80000000e+01,
-  6.60000000e+01, 7.70000000e+01, 2.10000000e+02, 2.24000000e+02,
-  6.00000000e+00, 7.30000000e+01, 4.60000000e+01, 2.34000000e+02,
-  9.00000000e+00, 2.09000000e+02, 1.46000000e+02, 2.80000000e+01,
-  2.54000000e+02, 2.90000000e+01, 2.35000000e+02, 2.80000000e+01,
-  1.77000000e+02, 4.10000000e+01, 1.67000000e+02, 6.20000000e+01,
-  2.32000000e+02, 1.30000000e+02, 5.30000000e+01, 2.45000000e+02,
-  4.60000000e+01, 1.87000000e+02, 6.80000000e+01, 1.32000000e+02,
-  2.33000000e+02, 1.56000000e+02, 1.12000000e+02, 3.80000000e+01,
-  1.80000000e+02, 9.50000000e+01, 1.26000000e+02, 6.50000000e+01,
-  5.70000000e+01, 1.45000000e+02, 2.14000000e+02, 5.70000000e+01,
-  1.31000000e+02, 8.30000000e+01, 5.70000000e+01, 2.44000000e+02,
-  1.56000000e+02, 1.32000000e+02, 9.50000000e+01, 1.39000000e+02,
-  1.89000000e+02, 2.49000000e+02, 4.00000000e+01, 5.90000000e+01,
-  3.10000000e+01, 2.48000000e+02, 1.51000000e+02, 2.55000000e+02,
-  2.22000000e+02, 5.00000000e+00, 1.52000000e+02, 1.50000000e+01,
-  2.39000000e+02, 4.70000000e+01, 1.70000000e+01, 1.39000000e+02,
-  9.00000000e+01, 1.00000000e+01, 1.09000000e+02, 3.10000000e+01,
-  1.09000000e+02, 5.40000000e+01, 1.26000000e+02, 2.07000000e+02,
-  3.90000000e+01, 2.03000000e+02, 9.00000000e+00, 1.83000000e+02,
-  7.90000000e+01, 7.00000000e+01, 6.30000000e+01, 1.02000000e+02,
-  1.58000000e+02, 9.50000000e+01, 2.34000000e+02, 4.50000000e+01,
-  1.17000000e+02, 3.90000000e+01, 1.86000000e+02, 1.99000000e+02,
-  2.35000000e+02, 2.29000000e+02, 2.41000000e+02, 1.23000000e+02,
-  6.10000000e+01, 7.00000000e+00, 5.70000000e+01, 2.47000000e+02,
-  1.38000000e+02, 8.20000000e+01, 1.46000000e+02, 2.34000000e+02,
-  1.07000000e+02, 2.51000000e+02, 9.50000000e+01, 1.77000000e+02,
-  3.10000000e+01, 1.41000000e+02, 9.30000000e+01, 8.00000000e+00,
-  8.60000000e+01, 3.00000000e+00, 4.80000000e+01, 7.00000000e+01,
-  2.52000000e+02, 1.23000000e+02, 1.07000000e+02, 1.71000000e+02,
-  2.40000000e+02, 2.07000000e+02, 1.88000000e+02, 3.20000000e+01,
-  1.54000000e+02, 2.44000000e+02, 5.40000000e+01, 2.90000000e+01,
-  1.69000000e+02, 2.27000000e+02, 1.45000000e+02, 9.70000000e+01,
-  9.40000000e+01, 2.30000000e+02, 2.70000000e+01, 8.00000000e+00,
-  1.01000000e+02, 1.53000000e+02, 1.33000000e+02, 9.50000000e+01,
-  2.00000000e+01, 1.60000000e+02, 1.04000000e+02, 6.40000000e+01,
-  1.41000000e+02, 2.55000000e+02, 2.16000000e+02, 1.28000000e+02,
-  7.70000000e+01, 1.15000000e+02, 3.90000000e+01, 4.90000000e+01,
-  6.00000000e+00, 6.00000000e+00, 2.10000000e+01, 8.60000000e+01,
-  2.02000000e+02, 1.15000000e+02, 1.68000000e+02, 2.01000000e+02,
-  9.60000000e+01, 2.26000000e+02, 1.23000000e+02, 1.92000000e+02,
-  1.40000000e+02, 1.07000000e+02
-};
-
-
-static const float PIo2[] = {
-  1.5703125000e+00,		/* 0x3fc90000 */
-  4.5776367188e-04,		/* 0x39f00000 */
-  2.5987625122e-05,		/* 0x37da0000 */
-  7.5437128544e-08,		/* 0x33a20000 */
-  6.0026650317e-11,		/* 0x2e840000 */
-  7.3896444519e-13,		/* 0x2b500000 */
-  5.3845816694e-15,		/* 0x27c20000 */
-  5.6378512969e-18,		/* 0x22d00000 */
-  8.3009228831e-20,		/* 0x1fc40000 */
-  3.2756352257e-22,		/* 0x1bc60000 */
-  6.3331015649e-25,		/* 0x17440000 */
-};
-
-
-static const float zero  = 0.0000000000e+00;
-static const float one   = 1.0000000000;
-static const float twon8 = 3.9062500000e-03;
-static const float two8  = 2.5600000000e+02;
-
-
-int32_t
-__fp_kernel_rem_pio2f (float *x, float *y, float e0, int32_t nx)
-{
-  int32_t jz, jx, jv, jp, jk, carry, n, iq[20], i, j, k, m, q0, ih, exp;
-  float z, fw, f[20], fq[20], q[20];
-
-  /* initialize jk */
-  jp = jk = 9;
-
-  /* determine jx,jv,q0, note that 3>q0 */
-  jx = nx - 1;
-  exp = __float_get_exp (e0) - 127;
-  jv = (exp - 3) / 8;
-  if (jv < 0)
-    jv = 0;
-  q0 = exp - 8 * (jv + 1);
-
-  /* set up f[0] to f[jx+jk] where f[jx+jk] = two_over_pi[jv+jk] */
-  j = jv - jx;
-  m = jx + jk;
-  for (i = 0; i <= m; i++, j++)
-    f[i] = (j < 0) ? zero : two_over_pi[j];
-
-  /* compute q[0],q[1],...q[jk] */
-  for (i = 0; i <= jk; i++)
-    {
-      for (j = 0, fw = 0.0; j <= jx; j++)
-	fw += x[j] * f[jx + i - j];
-      q[i] = fw;
-    }
-
-  jz = jk;
-recompute:
-  /* distill q[] into iq[] reversingly */
-  for (i = 0, j = jz, z = q[jz]; j > 0; i++, j--)
-    {
-      fw = __truncf (twon8 * z);
-      iq[i] = (int32_t) (z - two8 * fw);
-      z = q[j - 1] + fw;
-    }
-
-  /* compute n */
-  z = __scalbnf (z, q0);	/* actual value of z */
-  z -= 8.0 * __floorf (z * 0.125);	/* trim off integer >= 8 */
-  n = (int32_t) z;
-  z -= __truncf (z);
-  ih = 0;
-  if (q0 > 0)
-    {				/* need iq[jz-1] to determine n */
-      i = (iq[jz - 1] >> (8 - q0));
-      n += i;
-      iq[jz - 1] -= i << (8 - q0);
-      ih = iq[jz - 1] >> (7 - q0);
-    }
-  else if (q0 == 0)
-    ih = iq[jz - 1] >> 7;
-  else if (z >= 0.5)
-    ih = 2;
-
-  if (ih > 0)
-    {				/* q > 0.5 */
-      n += 1;
-      carry = 0;
-      for (i = 0; i < jz; i++)
-	{			/* compute 1-q */
-	  j = iq[i];
-	  if (carry == 0)
-	    {
-	      if (j != 0)
-		{
-		  carry = 1;
-		  iq[i] = 0x100 - j;
-		}
-	    }
-	  else
-	    iq[i] = 0xff - j;
-	}
-      if (q0 > 0)
-	{			/* rare case: chance is 1 in 12 */
-	  switch (q0)
-	    {
-	    case 1:
-	      iq[jz - 1] &= 0x7f;
-	      break;
-	    case 2:
-	      iq[jz - 1] &= 0x3f;
-	      break;
-	    }
-	}
-      if (ih == 2)
-	{
-	  z = one - z;
-	  if (carry != 0)
-	    z -= __scalbnf (one, q0);
-	}
-    }
-
-  /* check if recomputation is needed */
-  if (z == zero)
-    {
-      j = 0;
-      for (i = jz - 1; i >= jk; i--)
-	j |= iq[i];
-      if (j == 0)
-	{			/* need recomputation */
-	  for (k = 1; iq[jk - k] == 0; k++);	/* k = no. of terms needed */
-
-	  for (i = jz + 1; i <= jz + k; i++)
-	    {			/* add q[jz+1] to q[jz+k] */
-	      f[jx + i] = two_over_pi[jv + i];
-	      for (j = 0, fw = 0.0; j <= jx; j++)
-		fw += x[j] * f[jx + i - j];
-	      q[i] = fw;
-	    }
-	  jz += k;
-	  goto recompute;
-	}
-    }
-
-  /* chop off zero terms */
-  if (z == 0.0)
-    {
-      jz -= 1;
-      q0 -= 8;
-      while (iq[jz] == 0)
-	{
-	  jz--;
-	  q0 -= 8;
-	}
-    }
-  else
-    {				/* break z into 8-bit if necessary */
-      z = __scalbnf (z, -q0);
-      if (z >= two8)
-	{
-	  fw = __truncf (twon8 * z);
-	  iq[jz] = (int32_t) (z - two8 * fw);
-	  jz += 1;
-	  q0 += 8;
-	  iq[jz] = (int32_t) fw;
-	}
-      else
-	iq[jz] = (int32_t) z;
-    }
-
-  /* convert integer "bit" chunk to floating-point value */
-  fw = __scalbnf (one, q0);
-  for (i = jz; i >= 0; i--)
-    {
-      q[i] = fw * (float) iq[i];
-      fw *= twon8;
-    }
-
-  /* compute PIo2[0,...,jp]*q[jz,...,0] */
-  for (i = jz; i >= 0; i--)
-    {
-      for (fw = 0.0, k = 0; k <= jp && k <= jz - i; k++)
-	fw += PIo2[k] * q[i + k];
-      fq[jz - i] = fw;
-    }
-
-  /* compress fq[] into y[] */
-  fw = 0.0;
-  for (i = jz; i >= 0; i--)
-    fw += fq[i];
-  y[0] = (ih == 0) ? fw : -fw;
-  fw = fq[0] - fw;
-  for (i = 1; i <= jz; i++)
-    fw += fq[i];
-  y[1] = (ih == 0) ? fw : -fw;
-
-  return n & 7;
-}