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/*
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MIT License
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Copyright (c) 2021 Parallel Applications Modelling Group - GMAP
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GMAP website: https://gmap.pucrs.br
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Pontifical Catholic University of Rio Grande do Sul (PUCRS)
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Av. Ipiranga, 6681, Porto Alegre - Brazil, 90619-900
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to deal
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in the Software without restriction, including without limitation the rights
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to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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copies of the Software, and to permit persons to whom the Software is
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in all
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copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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SOFTWARE.
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------------------------------------------------------------------------------
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The original NPB 3.4.1 version was written in Fortran and belongs to:
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http://www.nas.nasa.gov/Software/NPB/
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------------------------------------------------------------------------------
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The serial C++ version is a translation of the original NPB 3.4.1
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Serial C++ version: https://github.com/GMAP/NPB-CPP/tree/master/NPB-SER
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Authors of the C++ code:
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Dalvan Griebler <dalvangriebler@gmail.com>
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Gabriell Araujo <hexenoften@gmail.com>
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Júnior Löff <loffjh@gmail.com>
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*/
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#if defined(USE_POW)
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# define r23 pow(0.5, 23.0)
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# define r46 (r23 * r23)
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# define t23 pow(2.0, 23.0)
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# define t46 (t23 * t23)
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#else
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# define r23 \
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(0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * \
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0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5)
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# define r46 (r23 * r23)
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# define t23 \
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(2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0 * \
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2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0 * 2.0)
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# define t46 (t23 * t23)
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#endif
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/*
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* ---------------------------------------------------------------------
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*
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* this routine returns a uniform pseudorandom double precision number in the
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* range (0, 1) by using the linear congruential generator
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*
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* x_{k+1} = a x_k (mod 2^46)
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*
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* where 0 < x_k < 2^46 and 0 < a < 2^46. this scheme generates 2^44 numbers
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* before repeating. the argument A is the same as 'a' in the above formula,
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* and X is the same as x_0. A and X must be odd double precision integers
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* in the range (1, 2^46). the returned value RANDLC is normalized to be
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* between 0 and 1, i.e. RANDLC = 2^(-46) * x_1. X is updated to contain
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* the new seed x_1, so that subsequent calls to RANDLC using the same
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* arguments will generate a continuous sequence.
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*
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* this routine should produce the same results on any computer with at least
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* 48 mantissa bits in double precision floating point data. On 64 bit
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* systems, double precision should be disabled.
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*
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* David H. Bailey, October 26, 1990
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*
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* ---------------------------------------------------------------------
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*/
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double
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randlc(double* x, double a)
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{
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double t1, t2, t3, t4, a1, a2, x1, x2, z;
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/*
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* ---------------------------------------------------------------------
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* break A into two parts such that A = 2^23 * A1 + A2.
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* ---------------------------------------------------------------------
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*/
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t1 = r23 * a;
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a1 = (int) t1;
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a2 = a - t23 * a1;
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/*
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* ---------------------------------------------------------------------
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* break X into two parts such that X = 2^23 * X1 + X2, compute
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* Z = A1 * X2 + A2 * X1 (mod 2^23), and then
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* X = 2^23 * Z + A2 * X2 (mod 2^46).
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* ---------------------------------------------------------------------
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*/
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t1 = r23 * (*x);
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x1 = (int) t1;
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x2 = (*x) - t23 * x1;
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t1 = a1 * x2 + a2 * x1;
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t2 = (int) (r23 * t1);
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z = t1 - t23 * t2;
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t3 = t23 * z + a2 * x2;
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t4 = (int) (r46 * t3);
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(*x) = t3 - t46 * t4;
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return (r46 * (*x));
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}
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/*
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* ---------------------------------------------------------------------
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*
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* this routine generates N uniform pseudorandom double precision numbers in
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* the range (0, 1) by using the linear congruential generator
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*
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* x_{k+1} = a x_k (mod 2^46)
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*
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* where 0 < x_k < 2^46 and 0 < a < 2^46. this scheme generates 2^44 numbers
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* before repeating. the argument A is the same as 'a' in the above formula,
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* and X is the same as x_0. A and X must be odd double precision integers
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* in the range (1, 2^46). the N results are placed in Y and are normalized
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* to be between 0 and 1. X is updated to contain the new seed, so that
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* subsequent calls to VRANLC using the same arguments will generate a
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* continuous sequence. if N is zero, only initialization is performed, and
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* the variables X, A and Y are ignored.
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*
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* this routine is the standard version designed for scalar or RISC systems.
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* however, it should produce the same results on any single processor
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* computer with at least 48 mantissa bits in double precision floating point
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* data. on 64 bit systems, double precision should be disabled.
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*
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* ---------------------------------------------------------------------
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*/
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void
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vranlc(int n, double* x_seed, double a, double y[])
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{
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int i;
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double x, t1, t2, t3, t4, a1, a2, x1, x2, z;
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/*
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* ---------------------------------------------------------------------
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* break A into two parts such that A = 2^23 * A1 + A2.
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* ---------------------------------------------------------------------
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*/
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t1 = r23 * a;
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a1 = (int) t1;
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a2 = a - t23 * a1;
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x = *x_seed;
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/*
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* ---------------------------------------------------------------------
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* generate N results. this loop is not vectorizable.
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* ---------------------------------------------------------------------
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*/
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for(i = 0; i < n; i++)
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{
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/*
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* ---------------------------------------------------------------------
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* break X into two parts such that X = 2^23 * X1 + X2, compute
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* Z = A1 * X2 + A2 * X1 (mod 2^23), and then
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* X = 2^23 * Z + A2 * X2 (mod 2^46).
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* ---------------------------------------------------------------------
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*/
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t1 = r23 * x;
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x1 = (int) t1;
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x2 = x - t23 * x1;
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t1 = a1 * x2 + a2 * x1;
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t2 = (int) (r23 * t1);
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z = t1 - t23 * t2;
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t3 = t23 * z + a2 * x2;
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t4 = (int) (r46 * t3);
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x = t3 - t46 * t4;
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y[i] = r46 * x;
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}
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*x_seed = x;
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}
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