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							- /*
 
-  *  linux/arch/arm/vfp/vfpdouble.c
 
-  *
 
-  * This code is derived in part from John R. Housers softfloat library, which
 
-  * carries the following notice:
 
-  *
 
-  * ===========================================================================
 
-  * This C source file is part of the SoftFloat IEC/IEEE Floating-point
 
-  * Arithmetic Package, Release 2.
 
-  *
 
-  * Written by John R. Hauser.  This work was made possible in part by the
 
-  * International Computer Science Institute, located at Suite 600, 1947 Center
 
-  * Street, Berkeley, California 94704.  Funding was partially provided by the
 
-  * National Science Foundation under grant MIP-9311980.  The original version
 
-  * of this code was written as part of a project to build a fixed-point vector
 
-  * processor in collaboration with the University of California at Berkeley,
 
-  * overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
 
-  * is available through the web page `http://HTTP.CS.Berkeley.EDU/~jhauser/
 
-  * arithmetic/softfloat.html'.
 
-  *
 
-  * THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort
 
-  * has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT
 
-  * TIMES RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO
 
-  * PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY
 
-  * AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE.
 
-  *
 
-  * Derivative works are acceptable, even for commercial purposes, so long as
 
-  * (1) they include prominent notice that the work is derivative, and (2) they
 
-  * include prominent notice akin to these three paragraphs for those parts of
 
-  * this code that are retained.
 
-  * ===========================================================================
 
-  */
 
- #include <linux/kernel.h>
 
- #include <linux/bitops.h>
 
- #include <asm/div64.h>
 
- #include <asm/vfp.h>
 
- #include "vfpinstr.h"
 
- #include "vfp.h"
 
- static struct vfp_double vfp_double_default_qnan = {
 
- 	.exponent	= 2047,
 
- 	.sign		= 0,
 
- 	.significand	= VFP_DOUBLE_SIGNIFICAND_QNAN,
 
- };
 
- static void vfp_double_dump(const char *str, struct vfp_double *d)
 
- {
 
- 	pr_debug("VFP: %s: sign=%d exponent=%d significand=%016llx\n",
 
- 		 str, d->sign != 0, d->exponent, d->significand);
 
- }
 
- static void vfp_double_normalise_denormal(struct vfp_double *vd)
 
- {
 
- 	int bits = 31 - fls(vd->significand >> 32);
 
- 	if (bits == 31)
 
- 		bits = 63 - fls(vd->significand);
 
- 	vfp_double_dump("normalise_denormal: in", vd);
 
- 	if (bits) {
 
- 		vd->exponent -= bits - 1;
 
- 		vd->significand <<= bits;
 
- 	}
 
- 	vfp_double_dump("normalise_denormal: out", vd);
 
- }
 
- u32 vfp_double_normaliseround(int dd, struct vfp_double *vd, u32 fpscr, u32 exceptions, const char *func)
 
- {
 
- 	u64 significand, incr;
 
- 	int exponent, shift, underflow;
 
- 	u32 rmode;
 
- 	vfp_double_dump("pack: in", vd);
 
- 	/*
 
- 	 * Infinities and NaNs are a special case.
 
- 	 */
 
- 	if (vd->exponent == 2047 && (vd->significand == 0 || exceptions))
 
- 		goto pack;
 
- 	/*
 
- 	 * Special-case zero.
 
- 	 */
 
- 	if (vd->significand == 0) {
 
- 		vd->exponent = 0;
 
- 		goto pack;
 
- 	}
 
- 	exponent = vd->exponent;
 
- 	significand = vd->significand;
 
- 	shift = 32 - fls(significand >> 32);
 
- 	if (shift == 32)
 
- 		shift = 64 - fls(significand);
 
- 	if (shift) {
 
- 		exponent -= shift;
 
- 		significand <<= shift;
 
- 	}
 
- #ifdef DEBUG
 
- 	vd->exponent = exponent;
 
- 	vd->significand = significand;
 
- 	vfp_double_dump("pack: normalised", vd);
 
- #endif
 
- 	/*
 
- 	 * Tiny number?
 
- 	 */
 
- 	underflow = exponent < 0;
 
- 	if (underflow) {
 
- 		significand = vfp_shiftright64jamming(significand, -exponent);
 
- 		exponent = 0;
 
- #ifdef DEBUG
 
- 		vd->exponent = exponent;
 
- 		vd->significand = significand;
 
- 		vfp_double_dump("pack: tiny number", vd);
 
- #endif
 
- 		if (!(significand & ((1ULL << (VFP_DOUBLE_LOW_BITS + 1)) - 1)))
 
- 			underflow = 0;
 
- 	}
 
- 	/*
 
- 	 * Select rounding increment.
 
- 	 */
 
- 	incr = 0;
 
- 	rmode = fpscr & FPSCR_RMODE_MASK;
 
- 	if (rmode == FPSCR_ROUND_NEAREST) {
 
- 		incr = 1ULL << VFP_DOUBLE_LOW_BITS;
 
- 		if ((significand & (1ULL << (VFP_DOUBLE_LOW_BITS + 1))) == 0)
 
- 			incr -= 1;
 
- 	} else if (rmode == FPSCR_ROUND_TOZERO) {
 
- 		incr = 0;
 
- 	} else if ((rmode == FPSCR_ROUND_PLUSINF) ^ (vd->sign != 0))
 
- 		incr = (1ULL << (VFP_DOUBLE_LOW_BITS + 1)) - 1;
 
- 	pr_debug("VFP: rounding increment = 0x%08llx\n", incr);
 
- 	/*
 
- 	 * Is our rounding going to overflow?
 
- 	 */
 
- 	if ((significand + incr) < significand) {
 
- 		exponent += 1;
 
- 		significand = (significand >> 1) | (significand & 1);
 
- 		incr >>= 1;
 
- #ifdef DEBUG
 
- 		vd->exponent = exponent;
 
- 		vd->significand = significand;
 
- 		vfp_double_dump("pack: overflow", vd);
 
- #endif
 
- 	}
 
- 	/*
 
- 	 * If any of the low bits (which will be shifted out of the
 
- 	 * number) are non-zero, the result is inexact.
 
- 	 */
 
- 	if (significand & ((1 << (VFP_DOUBLE_LOW_BITS + 1)) - 1))
 
- 		exceptions |= FPSCR_IXC;
 
- 	/*
 
- 	 * Do our rounding.
 
- 	 */
 
- 	significand += incr;
 
- 	/*
 
- 	 * Infinity?
 
- 	 */
 
- 	if (exponent >= 2046) {
 
- 		exceptions |= FPSCR_OFC | FPSCR_IXC;
 
- 		if (incr == 0) {
 
- 			vd->exponent = 2045;
 
- 			vd->significand = 0x7fffffffffffffffULL;
 
- 		} else {
 
- 			vd->exponent = 2047;		/* infinity */
 
- 			vd->significand = 0;
 
- 		}
 
- 	} else {
 
- 		if (significand >> (VFP_DOUBLE_LOW_BITS + 1) == 0)
 
- 			exponent = 0;
 
- 		if (exponent || significand > 0x8000000000000000ULL)
 
- 			underflow = 0;
 
- 		if (underflow)
 
- 			exceptions |= FPSCR_UFC;
 
- 		vd->exponent = exponent;
 
- 		vd->significand = significand >> 1;
 
- 	}
 
-  pack:
 
- 	vfp_double_dump("pack: final", vd);
 
- 	{
 
- 		s64 d = vfp_double_pack(vd);
 
- 		pr_debug("VFP: %s: d(d%d)=%016llx exceptions=%08x\n", func,
 
- 			 dd, d, exceptions);
 
- 		vfp_put_double(d, dd);
 
- 	}
 
- 	return exceptions;
 
- }
 
- /*
 
-  * Propagate the NaN, setting exceptions if it is signalling.
 
-  * 'n' is always a NaN.  'm' may be a number, NaN or infinity.
 
-  */
 
- static u32
 
- vfp_propagate_nan(struct vfp_double *vdd, struct vfp_double *vdn,
 
- 		  struct vfp_double *vdm, u32 fpscr)
 
- {
 
- 	struct vfp_double *nan;
 
- 	int tn, tm = 0;
 
- 	tn = vfp_double_type(vdn);
 
- 	if (vdm)
 
- 		tm = vfp_double_type(vdm);
 
- 	if (fpscr & FPSCR_DEFAULT_NAN)
 
- 		/*
 
- 		 * Default NaN mode - always returns a quiet NaN
 
- 		 */
 
- 		nan = &vfp_double_default_qnan;
 
- 	else {
 
- 		/*
 
- 		 * Contemporary mode - select the first signalling
 
- 		 * NAN, or if neither are signalling, the first
 
- 		 * quiet NAN.
 
- 		 */
 
- 		if (tn == VFP_SNAN || (tm != VFP_SNAN && tn == VFP_QNAN))
 
- 			nan = vdn;
 
- 		else
 
- 			nan = vdm;
 
- 		/*
 
- 		 * Make the NaN quiet.
 
- 		 */
 
- 		nan->significand |= VFP_DOUBLE_SIGNIFICAND_QNAN;
 
- 	}
 
- 	*vdd = *nan;
 
- 	/*
 
- 	 * If one was a signalling NAN, raise invalid operation.
 
- 	 */
 
- 	return tn == VFP_SNAN || tm == VFP_SNAN ? FPSCR_IOC : VFP_NAN_FLAG;
 
- }
 
- /*
 
-  * Extended operations
 
-  */
 
- static u32 vfp_double_fabs(int dd, int unused, int dm, u32 fpscr)
 
- {
 
- 	vfp_put_double(vfp_double_packed_abs(vfp_get_double(dm)), dd);
 
- 	return 0;
 
- }
 
- static u32 vfp_double_fcpy(int dd, int unused, int dm, u32 fpscr)
 
- {
 
- 	vfp_put_double(vfp_get_double(dm), dd);
 
- 	return 0;
 
- }
 
- static u32 vfp_double_fneg(int dd, int unused, int dm, u32 fpscr)
 
- {
 
- 	vfp_put_double(vfp_double_packed_negate(vfp_get_double(dm)), dd);
 
- 	return 0;
 
- }
 
- static u32 vfp_double_fsqrt(int dd, int unused, int dm, u32 fpscr)
 
- {
 
- 	struct vfp_double vdm, vdd;
 
- 	int ret, tm;
 
- 	vfp_double_unpack(&vdm, vfp_get_double(dm));
 
- 	tm = vfp_double_type(&vdm);
 
- 	if (tm & (VFP_NAN|VFP_INFINITY)) {
 
- 		struct vfp_double *vdp = &vdd;
 
- 		if (tm & VFP_NAN)
 
- 			ret = vfp_propagate_nan(vdp, &vdm, NULL, fpscr);
 
- 		else if (vdm.sign == 0) {
 
-  sqrt_copy:
 
- 			vdp = &vdm;
 
- 			ret = 0;
 
- 		} else {
 
-  sqrt_invalid:
 
- 			vdp = &vfp_double_default_qnan;
 
- 			ret = FPSCR_IOC;
 
- 		}
 
- 		vfp_put_double(vfp_double_pack(vdp), dd);
 
- 		return ret;
 
- 	}
 
- 	/*
 
- 	 * sqrt(+/- 0) == +/- 0
 
- 	 */
 
- 	if (tm & VFP_ZERO)
 
- 		goto sqrt_copy;
 
- 	/*
 
- 	 * Normalise a denormalised number
 
- 	 */
 
- 	if (tm & VFP_DENORMAL)
 
- 		vfp_double_normalise_denormal(&vdm);
 
- 	/*
 
- 	 * sqrt(<0) = invalid
 
- 	 */
 
- 	if (vdm.sign)
 
- 		goto sqrt_invalid;
 
- 	vfp_double_dump("sqrt", &vdm);
 
- 	/*
 
- 	 * Estimate the square root.
 
- 	 */
 
- 	vdd.sign = 0;
 
- 	vdd.exponent = ((vdm.exponent - 1023) >> 1) + 1023;
 
- 	vdd.significand = (u64)vfp_estimate_sqrt_significand(vdm.exponent, vdm.significand >> 32) << 31;
 
- 	vfp_double_dump("sqrt estimate1", &vdd);
 
- 	vdm.significand >>= 1 + (vdm.exponent & 1);
 
- 	vdd.significand += 2 + vfp_estimate_div128to64(vdm.significand, 0, vdd.significand);
 
- 	vfp_double_dump("sqrt estimate2", &vdd);
 
- 	/*
 
- 	 * And now adjust.
 
- 	 */
 
- 	if ((vdd.significand & VFP_DOUBLE_LOW_BITS_MASK) <= 5) {
 
- 		if (vdd.significand < 2) {
 
- 			vdd.significand = ~0ULL;
 
- 		} else {
 
- 			u64 termh, terml, remh, reml;
 
- 			vdm.significand <<= 2;
 
- 			mul64to128(&termh, &terml, vdd.significand, vdd.significand);
 
- 			sub128(&remh, &reml, vdm.significand, 0, termh, terml);
 
- 			while ((s64)remh < 0) {
 
- 				vdd.significand -= 1;
 
- 				shift64left(&termh, &terml, vdd.significand);
 
- 				terml |= 1;
 
- 				add128(&remh, &reml, remh, reml, termh, terml);
 
- 			}
 
- 			vdd.significand |= (remh | reml) != 0;
 
- 		}
 
- 	}
 
- 	vdd.significand = vfp_shiftright64jamming(vdd.significand, 1);
 
- 	return vfp_double_normaliseround(dd, &vdd, fpscr, 0, "fsqrt");
 
- }
 
- /*
 
-  * Equal	:= ZC
 
-  * Less than	:= N
 
-  * Greater than	:= C
 
-  * Unordered	:= CV
 
-  */
 
- static u32 vfp_compare(int dd, int signal_on_qnan, int dm, u32 fpscr)
 
- {
 
- 	s64 d, m;
 
- 	u32 ret = 0;
 
- 	m = vfp_get_double(dm);
 
- 	if (vfp_double_packed_exponent(m) == 2047 && vfp_double_packed_mantissa(m)) {
 
- 		ret |= FPSCR_C | FPSCR_V;
 
- 		if (signal_on_qnan || !(vfp_double_packed_mantissa(m) & (1ULL << (VFP_DOUBLE_MANTISSA_BITS - 1))))
 
- 			/*
 
- 			 * Signalling NaN, or signalling on quiet NaN
 
- 			 */
 
- 			ret |= FPSCR_IOC;
 
- 	}
 
- 	d = vfp_get_double(dd);
 
- 	if (vfp_double_packed_exponent(d) == 2047 && vfp_double_packed_mantissa(d)) {
 
- 		ret |= FPSCR_C | FPSCR_V;
 
- 		if (signal_on_qnan || !(vfp_double_packed_mantissa(d) & (1ULL << (VFP_DOUBLE_MANTISSA_BITS - 1))))
 
- 			/*
 
- 			 * Signalling NaN, or signalling on quiet NaN
 
- 			 */
 
- 			ret |= FPSCR_IOC;
 
- 	}
 
- 	if (ret == 0) {
 
- 		if (d == m || vfp_double_packed_abs(d | m) == 0) {
 
- 			/*
 
- 			 * equal
 
- 			 */
 
- 			ret |= FPSCR_Z | FPSCR_C;
 
- 		} else if (vfp_double_packed_sign(d ^ m)) {
 
- 			/*
 
- 			 * different signs
 
- 			 */
 
- 			if (vfp_double_packed_sign(d))
 
- 				/*
 
- 				 * d is negative, so d < m
 
- 				 */
 
- 				ret |= FPSCR_N;
 
- 			else
 
- 				/*
 
- 				 * d is positive, so d > m
 
- 				 */
 
- 				ret |= FPSCR_C;
 
- 		} else if ((vfp_double_packed_sign(d) != 0) ^ (d < m)) {
 
- 			/*
 
- 			 * d < m
 
- 			 */
 
- 			ret |= FPSCR_N;
 
- 		} else if ((vfp_double_packed_sign(d) != 0) ^ (d > m)) {
 
- 			/*
 
- 			 * d > m
 
- 			 */
 
- 			ret |= FPSCR_C;
 
- 		}
 
- 	}
 
- 	return ret;
 
- }
 
- static u32 vfp_double_fcmp(int dd, int unused, int dm, u32 fpscr)
 
- {
 
- 	return vfp_compare(dd, 0, dm, fpscr);
 
- }
 
- static u32 vfp_double_fcmpe(int dd, int unused, int dm, u32 fpscr)
 
- {
 
- 	return vfp_compare(dd, 1, dm, fpscr);
 
- }
 
- static u32 vfp_double_fcmpz(int dd, int unused, int dm, u32 fpscr)
 
- {
 
- 	return vfp_compare(dd, 0, VFP_REG_ZERO, fpscr);
 
- }
 
- static u32 vfp_double_fcmpez(int dd, int unused, int dm, u32 fpscr)
 
- {
 
- 	return vfp_compare(dd, 1, VFP_REG_ZERO, fpscr);
 
- }
 
- static u32 vfp_double_fcvts(int sd, int unused, int dm, u32 fpscr)
 
- {
 
- 	struct vfp_double vdm;
 
- 	struct vfp_single vsd;
 
- 	int tm;
 
- 	u32 exceptions = 0;
 
- 	vfp_double_unpack(&vdm, vfp_get_double(dm));
 
- 	tm = vfp_double_type(&vdm);
 
- 	/*
 
- 	 * If we have a signalling NaN, signal invalid operation.
 
- 	 */
 
- 	if (tm == VFP_SNAN)
 
- 		exceptions = FPSCR_IOC;
 
- 	if (tm & VFP_DENORMAL)
 
- 		vfp_double_normalise_denormal(&vdm);
 
- 	vsd.sign = vdm.sign;
 
- 	vsd.significand = vfp_hi64to32jamming(vdm.significand);
 
- 	/*
 
- 	 * If we have an infinity or a NaN, the exponent must be 255
 
- 	 */
 
- 	if (tm & (VFP_INFINITY|VFP_NAN)) {
 
- 		vsd.exponent = 255;
 
- 		if (tm == VFP_QNAN)
 
- 			vsd.significand |= VFP_SINGLE_SIGNIFICAND_QNAN;
 
- 		goto pack_nan;
 
- 	} else if (tm & VFP_ZERO)
 
- 		vsd.exponent = 0;
 
- 	else
 
- 		vsd.exponent = vdm.exponent - (1023 - 127);
 
- 	return vfp_single_normaliseround(sd, &vsd, fpscr, exceptions, "fcvts");
 
-  pack_nan:
 
- 	vfp_put_float(vfp_single_pack(&vsd), sd);
 
- 	return exceptions;
 
- }
 
- static u32 vfp_double_fuito(int dd, int unused, int dm, u32 fpscr)
 
- {
 
- 	struct vfp_double vdm;
 
- 	u32 m = vfp_get_float(dm);
 
- 	vdm.sign = 0;
 
- 	vdm.exponent = 1023 + 63 - 1;
 
- 	vdm.significand = (u64)m;
 
- 	return vfp_double_normaliseround(dd, &vdm, fpscr, 0, "fuito");
 
- }
 
- static u32 vfp_double_fsito(int dd, int unused, int dm, u32 fpscr)
 
- {
 
- 	struct vfp_double vdm;
 
- 	u32 m = vfp_get_float(dm);
 
- 	vdm.sign = (m & 0x80000000) >> 16;
 
- 	vdm.exponent = 1023 + 63 - 1;
 
- 	vdm.significand = vdm.sign ? -m : m;
 
- 	return vfp_double_normaliseround(dd, &vdm, fpscr, 0, "fsito");
 
- }
 
- static u32 vfp_double_ftoui(int sd, int unused, int dm, u32 fpscr)
 
- {
 
- 	struct vfp_double vdm;
 
- 	u32 d, exceptions = 0;
 
- 	int rmode = fpscr & FPSCR_RMODE_MASK;
 
- 	int tm;
 
- 	vfp_double_unpack(&vdm, vfp_get_double(dm));
 
- 	/*
 
- 	 * Do we have a denormalised number?
 
- 	 */
 
- 	tm = vfp_double_type(&vdm);
 
- 	if (tm & VFP_DENORMAL)
 
- 		exceptions |= FPSCR_IDC;
 
- 	if (tm & VFP_NAN)
 
- 		vdm.sign = 0;
 
- 	if (vdm.exponent >= 1023 + 32) {
 
- 		d = vdm.sign ? 0 : 0xffffffff;
 
- 		exceptions = FPSCR_IOC;
 
- 	} else if (vdm.exponent >= 1023 - 1) {
 
- 		int shift = 1023 + 63 - vdm.exponent;
 
- 		u64 rem, incr = 0;
 
- 		/*
 
- 		 * 2^0 <= m < 2^32-2^8
 
- 		 */
 
- 		d = (vdm.significand << 1) >> shift;
 
- 		rem = vdm.significand << (65 - shift);
 
- 		if (rmode == FPSCR_ROUND_NEAREST) {
 
- 			incr = 0x8000000000000000ULL;
 
- 			if ((d & 1) == 0)
 
- 				incr -= 1;
 
- 		} else if (rmode == FPSCR_ROUND_TOZERO) {
 
- 			incr = 0;
 
- 		} else if ((rmode == FPSCR_ROUND_PLUSINF) ^ (vdm.sign != 0)) {
 
- 			incr = ~0ULL;
 
- 		}
 
- 		if ((rem + incr) < rem) {
 
- 			if (d < 0xffffffff)
 
- 				d += 1;
 
- 			else
 
- 				exceptions |= FPSCR_IOC;
 
- 		}
 
- 		if (d && vdm.sign) {
 
- 			d = 0;
 
- 			exceptions |= FPSCR_IOC;
 
- 		} else if (rem)
 
- 			exceptions |= FPSCR_IXC;
 
- 	} else {
 
 
  |