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.

4 files changed, 0 insertions, 400 deletions

diff --git a/sysdeps/ieee754/flt-32/e_rem_pio2f.c b/sysdeps/ieee754/flt-32/e_rem_pio2f.c
deleted file mode 100644
index bd871a26c2..0000000000
--- a/sysdeps/ieee754/flt-32/e_rem_pio2f.c
+++ /dev/null
@@ -1,179 +0,0 @@
-/* e_rem_pio2f.c -- float version of e_rem_pio2.c
- * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
- */
-
-/*
- * ====================================================
- * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
- *
- * Developed at SunPro, a Sun Microsystems, Inc. business.
- * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice
- * is preserved.
- * ====================================================
- */
-
-#if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: e_rem_pio2f.c,v 1.5 1995/05/10 20:46:03 jtc Exp $";
-#endif
-
-/* __ieee754_rem_pio2f(x,y)
- *
- * return the remainder of x rem pi/2 in y[0]+y[1]
- * use __kernel_rem_pio2f()
- */
-
-#include <math.h>
-#include <math_private.h>
-
-/*
- * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi
- */
-static const int32_t two_over_pi[] = {
-0xA2, 0xF9, 0x83, 0x6E, 0x4E, 0x44, 0x15, 0x29, 0xFC,
-0x27, 0x57, 0xD1, 0xF5, 0x34, 0xDD, 0xC0, 0xDB, 0x62,
-0x95, 0x99, 0x3C, 0x43, 0x90, 0x41, 0xFE, 0x51, 0x63,
-0xAB, 0xDE, 0xBB, 0xC5, 0x61, 0xB7, 0x24, 0x6E, 0x3A,
-0x42, 0x4D, 0xD2, 0xE0, 0x06, 0x49, 0x2E, 0xEA, 0x09,
-0xD1, 0x92, 0x1C, 0xFE, 0x1D, 0xEB, 0x1C, 0xB1, 0x29,
-0xA7, 0x3E, 0xE8, 0x82, 0x35, 0xF5, 0x2E, 0xBB, 0x44,
-0x84, 0xE9, 0x9C, 0x70, 0x26, 0xB4, 0x5F, 0x7E, 0x41,
-0x39, 0x91, 0xD6, 0x39, 0x83, 0x53, 0x39, 0xF4, 0x9C,
-0x84, 0x5F, 0x8B, 0xBD, 0xF9, 0x28, 0x3B, 0x1F, 0xF8,
-0x97, 0xFF, 0xDE, 0x05, 0x98, 0x0F, 0xEF, 0x2F, 0x11,
-0x8B, 0x5A, 0x0A, 0x6D, 0x1F, 0x6D, 0x36, 0x7E, 0xCF,
-0x27, 0xCB, 0x09, 0xB7, 0x4F, 0x46, 0x3F, 0x66, 0x9E,
-0x5F, 0xEA, 0x2D, 0x75, 0x27, 0xBA, 0xC7, 0xEB, 0xE5,
-0xF1, 0x7B, 0x3D, 0x07, 0x39, 0xF7, 0x8A, 0x52, 0x92,
-0xEA, 0x6B, 0xFB, 0x5F, 0xB1, 0x1F, 0x8D, 0x5D, 0x08,
-0x56, 0x03, 0x30, 0x46, 0xFC, 0x7B, 0x6B, 0xAB, 0xF0,
-0xCF, 0xBC, 0x20, 0x9A, 0xF4, 0x36, 0x1D, 0xA9, 0xE3,
-0x91, 0x61, 0x5E, 0xE6, 0x1B, 0x08, 0x65, 0x99, 0x85,
-0x5F, 0x14, 0xA0, 0x68, 0x40, 0x8D, 0xFF, 0xD8, 0x80,
-0x4D, 0x73, 0x27, 0x31, 0x06, 0x06, 0x15, 0x56, 0xCA,
-0x73, 0xA8, 0xC9, 0x60, 0xE2, 0x7B, 0xC0, 0x8C, 0x6B,
-};
-
-/* This array is like the one in e_rem_pio2.c, but the numbers are
-   single precision and the last 8 bits are forced to 0.  */
-static const int32_t npio2_hw[] = {
-0x3fc90f00, 0x40490f00, 0x4096cb00, 0x40c90f00, 0x40fb5300, 0x4116cb00,
-0x412fed00, 0x41490f00, 0x41623100, 0x417b5300, 0x418a3a00, 0x4196cb00,
-0x41a35c00, 0x41afed00, 0x41bc7e00, 0x41c90f00, 0x41d5a000, 0x41e23100,
-0x41eec200, 0x41fb5300, 0x4203f200, 0x420a3a00, 0x42108300, 0x4216cb00,
-0x421d1400, 0x42235c00, 0x4229a500, 0x422fed00, 0x42363600, 0x423c7e00,
-0x4242c700, 0x42490f00
-};
-
-/*
- * invpio2:  24 bits of 2/pi
- * pio2_1:   first  17 bit of pi/2
- * pio2_1t:  pi/2 - pio2_1
- * pio2_2:   second 17 bit of pi/2
- * pio2_2t:  pi/2 - (pio2_1+pio2_2)
- * pio2_3:   third  17 bit of pi/2
- * pio2_3t:  pi/2 - (pio2_1+pio2_2+pio2_3)
- */
-
-static const float
-zero =  0.0000000000e+00, /* 0x00000000 */
-half =  5.0000000000e-01, /* 0x3f000000 */
-two8 =  2.5600000000e+02, /* 0x43800000 */
-invpio2 =  6.3661980629e-01, /* 0x3f22f984 */
-pio2_1  =  1.5707855225e+00, /* 0x3fc90f80 */
-pio2_1t =  1.0804334124e-05, /* 0x37354443 */
-pio2_2  =  1.0804273188e-05, /* 0x37354400 */
-pio2_2t =  6.0770999344e-11, /* 0x2e85a308 */
-pio2_3  =  6.0770943833e-11, /* 0x2e85a300 */
-pio2_3t =  6.1232342629e-17; /* 0x248d3132 */
-
-int32_t __ieee754_rem_pio2f(float x, float *y)
-{
-	float z,w,t,r,fn;
-	float tx[3];
-	int32_t e0,i,j,nx,n,ix,hx;
-
-	GET_FLOAT_WORD(hx,x);
-	ix = hx&0x7fffffff;
-	if(ix<=0x3f490fd8)   /* |x| ~<= pi/4 , no need for reduction */
-	    {y[0] = x; y[1] = 0; return 0;}
-	if(ix<0x4016cbe4) {  /* |x| < 3pi/4, special case with n=+-1 */
-	    if(hx>0) {
-		z = x - pio2_1;
-		if((ix&0xffffffc0)!=0x3fc90fc0) { /* 24+24 bit pi OK */
-		    y[0] = z - pio2_1t;
-		    y[1] = (z-y[0])-pio2_1t;
-		} else {		/* near pi/2, use 24+24+24 bit pi */
-		    z -= pio2_2;
-		    y[0] = z - pio2_2t;
-		    y[1] = (z-y[0])-pio2_2t;
-		}
-		return 1;
-	    } else {	/* negative x */
-		z = x + pio2_1;
-		if((ix&0xffffffc0)!=0x3fc90fc0) { /* 24+24 bit pi OK */
-		    y[0] = z + pio2_1t;
-		    y[1] = (z-y[0])+pio2_1t;
-		} else {		/* near pi/2, use 24+24+24 bit pi */
-		    z += pio2_2;
-		    y[0] = z + pio2_2t;
-		    y[1] = (z-y[0])+pio2_2t;
-		}
-		return -1;
-	    }
-	}
-	if(ix<=0x43490f80) { /* |x| ~<= 2^7*(pi/2), medium size */
-	    t  = fabsf(x);
-	    n  = (int32_t) (t*invpio2+half);
-	    fn = (float)n;
-	    r  = t-fn*pio2_1;
-	    w  = fn*pio2_1t;	/* 1st round good to 40 bit */
-	    if(n<32&&(int32_t)(ix&0xffffff00)!=npio2_hw[n-1]) {
-		y[0] = r-w;	/* quick check no cancellation */
-	    } else {
-	        uint32_t high;
-	        j  = ix>>23;
-	        y[0] = r-w;
-		GET_FLOAT_WORD(high,y[0]);
-	        i = j-((high>>23)&0xff);
-	        if(i>8) {  /* 2nd iteration needed, good to 57 */
-		    t  = r;
-		    w  = fn*pio2_2;
-		    r  = t-w;
-		    w  = fn*pio2_2t-((t-r)-w);
-		    y[0] = r-w;
-		    GET_FLOAT_WORD(high,y[0]);
-		    i = j-((high>>23)&0xff);
-		    if(i>25)  {	/* 3rd iteration need, 74 bits acc */
-			t  = r;	/* will cover all possible cases */
-			w  = fn*pio2_3;
-			r  = t-w;
-			w  = fn*pio2_3t-((t-r)-w);
-			y[0] = r-w;
-		    }
-		}
-	    }
-	    y[1] = (r-y[0])-w;
-	    if(hx<0) 	{y[0] = -y[0]; y[1] = -y[1]; return -n;}
-	    else	 return n;
-	}
-    /*
-     * all other (large) arguments
-     */
-	if(ix>=0x7f800000) {		/* x is inf or NaN */
-	    y[0]=y[1]=x-x; return 0;
-	}
-    /* set z = scalbn(|x|,ilogb(x)-7) */
-	e0 	= (ix>>23)-134;		/* e0 = ilogb(z)-7; */
-	SET_FLOAT_WORD(z, ix - ((int32_t)(e0<<23)));
-	for(i=0;i<2;i++) {
-		tx[i] = (float)((int32_t)(z));
-		z     = (z-tx[i])*two8;
-	}
-	tx[2] = z;
-	nx = 3;
-	while(tx[nx-1]==zero) nx--;	/* skip zero term */
-	n  =  __kernel_rem_pio2f(tx,y,e0,nx,2,two_over_pi);
-	if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
-	return n;
-}
diff --git a/sysdeps/ieee754/flt-32/k_cosf.c b/sysdeps/ieee754/flt-32/k_cosf.c
deleted file mode 100644
index 1cc8931700..0000000000
--- a/sysdeps/ieee754/flt-32/k_cosf.c
+++ /dev/null
@@ -1 +0,0 @@
-/* Not needed.  */
diff --git a/sysdeps/ieee754/flt-32/k_rem_pio2f.c b/sysdeps/ieee754/flt-32/k_rem_pio2f.c
deleted file mode 100644
index ea4915b765..0000000000
--- a/sysdeps/ieee754/flt-32/k_rem_pio2f.c
+++ /dev/null
@@ -1,219 +0,0 @@
-/* k_rem_pio2f.c -- float version of k_rem_pio2.c
- * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
- */
-
-/*
- * ====================================================
- * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
- *
- * Developed at SunPro, a Sun Microsystems, Inc. business.
- * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice
- * is preserved.
- * ====================================================
- */
-
-#if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: k_rem_pio2f.c,v 1.4 1995/05/10 20:46:28 jtc Exp $";
-#endif
-
-#include <math.h>
-#include <math-narrow-eval.h>
-#include <math_private.h>
-#include <libc-diag.h>
-
-/* In the float version, the input parameter x contains 8 bit
-   integers, not 24 bit integers.  113 bit precision is not supported.  */
-
-static const int init_jk[] = {4,7,9}; /* initial value for jk */
-
-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   = 0.0,
-one    = 1.0,
-two8   =  2.5600000000e+02, /* 0x43800000 */
-twon8  =  3.9062500000e-03; /* 0x3b800000 */
-
-int __kernel_rem_pio2f(float *x, float *y, int e0, int nx, int prec, const int32_t *ipio2)
-{
-	int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
-	float z,fw,f[20],fq[20],q[20];
-
-    /* initialize jk*/
-	jk = init_jk[prec];
-	jp = jk;
-
-    /* determine jx,jv,q0, note that 3>q0 */
-	jx =  nx-1;
-	jv = (e0-3)/8; if(jv<0) jv=0;
-	q0 =  e0-8*(jv+1);
-
-    /* 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 : (float) ipio2[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    =  (float)((int32_t)(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 -= (float)8.0*__floorf(z*(float)0.125);	/* trim off integer >= 8 */
-	n  = (int32_t) z;
-	z -= (float)n;
-	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>=(float)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 */
-		/* On s390x gcc 6.1 -O3 produces the warning "array subscript is
-		   below array bounds [-Werror=array-bounds]".  Only
-		   __ieee754_rem_pio2f calls __kernel_rem_pio2f for normal
-		   numbers and |x| ~> 2^7*(pi/2).  Thus x can't be zero and
-		   ipio2 is not zero, too.  Thus not all iq[] values can't be
-		   zero.  */
-		DIAG_PUSH_NEEDS_COMMENT;
-		DIAG_IGNORE_NEEDS_COMMENT (6.1, "-Warray-bounds");
-		for(k=1;iq[jk-k]==0;k++);   /* k = no. of terms needed */
-		DIAG_POP_NEEDS_COMMENT;
-
-		for(i=jz+1;i<=jz+k;i++) {   /* add q[jz+1] to q[jz+k] */
-		    f[jx+i] = (float) ipio2[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==(float)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 = (float)((int32_t)(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[] */
-	switch(prec) {
-	    case 0:
-		fw = 0.0;
-		for (i=jz;i>=0;i--) fw += fq[i];
-		y[0] = (ih==0)? fw: -fw;
-		break;
-	    case 1:
-	    case 2:;
-		float fv = 0.0;
-		for (i=jz;i>=0;i--) fv = math_narrow_eval (fv + fq[i]);
-		y[0] = (ih==0)? fv: -fv;
-		/* GCC mainline (to be GCC 9), as of 2018-05-22 on
-		   i686, warns that fq[0] may be used uninitialized.
-		   This is not possible because jz is always
-		   nonnegative when the above loop initializing fq is
-		   executed, because the result is never zero to full
-		   precision (this function is not called for zero
-		   arguments).  */
-		DIAG_PUSH_NEEDS_COMMENT;
-		DIAG_IGNORE_NEEDS_COMMENT (9, "-Wmaybe-uninitialized");
-		fv = math_narrow_eval (fq[0]-fv);
-		DIAG_POP_NEEDS_COMMENT;
-		for (i=1;i<=jz;i++) fv = math_narrow_eval (fv + fq[i]);
-		y[1] = (ih==0)? fv: -fv;
-		break;
-	    case 3:	/* painful */
-		for (i=jz;i>0;i--) {
-		    float fv = math_narrow_eval (fq[i-1]+fq[i]);
-		    fq[i]  += fq[i-1]-fv;
-		    fq[i-1] = fv;
-		}
-		for (i=jz;i>1;i--) {
-		    float fv = math_narrow_eval (fq[i-1]+fq[i]);
-		    fq[i]  += fq[i-1]-fv;
-		    fq[i-1] = fv;
-		}
-		for (fw=0.0,i=jz;i>=2;i--) fw += fq[i];
-		if(ih==0) {
-		    y[0] =  fq[0]; y[1] =  fq[1]; y[2] =  fw;
-		} else {
-		    y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw;
-		}
-	}
-	return n&7;
-}
diff --git a/sysdeps/ieee754/flt-32/k_sinf.c b/sysdeps/ieee754/flt-32/k_sinf.c
deleted file mode 100644
index 1cc8931700..0000000000
--- a/sysdeps/ieee754/flt-32/k_sinf.c
+++ /dev/null
@@ -1 +0,0 @@
-/* Not needed.  */