/*
* CDDL HEADER START
*
* The contents of this file are subject to the terms of the
* Common Development and Distribution License (the "License").
* You may not use this file except in compliance with the License.
*
* See the License for the specific language governing permissions
* and limitations under the License.
*
* When distributing Covered Code, include this CDDL HEADER in each
* If applicable, add the following below this CDDL HEADER, with the
* fields enclosed by brackets "[]" replaced with your own identifying
* information: Portions Copyright [yyyy] [name of copyright owner]
*
* CDDL HEADER END
*/
/*
* Copyright 2011 Nexenta Systems, Inc. All rights reserved.
*/
/*
* Copyright 2006 Sun Microsystems, Inc. All rights reserved.
* Use is subject to license terms.
*/
/********************************************************************
* vexp() algorithm is from mopt:f_exp.c. Basics are included here * to supplement comments within this file. vexp() has been unrolled
* to a depth of 3. Only element 0 is documented.
*
* Note 1: INVLN2_256, LN2_256H, and LN2_256L were originally scaled by
* 2^44 to allow *2^k w/o shifting within the FP registers. These
* had to be removed for CHEETAH to avoid the fdtox of a very large
* number, which would trap to kernel (2^52).
*
* Let x = (k + j/256)ln2 + r
* then exp(x) = exp(ln2^(k+j/256)) * exp(r)
* = 2^k * 2^(j/256) * exp(r)
* where r is polynomial approximation
* exp(r) = 1 + r + r^2*B1 + r^3*B2 + r^4*B3
* = 1 + r*(1+r*(B1+r*(B2+r*B3)))
* let
* p = r*(1+r*(B1+r*(B2+r*B3))) ! notice, not quite exp(r)
* q = 2^(j/256) (high 64 bits)
* t = 2^(j/256) (extra precision) ! both from _TBL_exp_z[]
* then
* 2^(j/256) * exp(r) = (q+t)(1+p) ~ q + ( t + q*p )
* then actual computation is 2^k * ( q + ( t + q*p ) )
*
********************************************************************/
.
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!
OLD : p = r * (
1 + r * (
B1 + r * (
B2 + r *
B3) ) )
!
NEW : p = r * [ (
1+r*
B1) + (r*r) * (
B2 + r *
B3) ) ]
!
1:
1:
1:
1:
1:
1:
2:
3:
1:
2:
3:
1:
2:
3: