RefGen21.h

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/****************************************************************/
/* Parallel Combinatorial BLAS Library (for Graph Computations) */
/* version 1.6 -------------------------------------------------*/
/* date: 6/15/2017 ---------------------------------------------*/
/* authors: Ariful Azad, Aydin Buluc  --------------------------*/
/****************************************************************/
/*
 Copyright (c) 2010-2017, The Regents of the University of California
 
 Permission is hereby granted, free of charge, to any person obtaining a copy
 of this software and associated documentation files (the "Software"), to deal
 in the Software without restriction, including without limitation the rights
 to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
 copies of the Software, and to permit persons to whom the Software is
 furnished to do so, subject to the following conditions:
 
 The above copyright notice and this permission notice shall be included in
 all copies or substantial portions of the Software.
 
 THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
 AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
 THE SOFTWARE.
 */
 
 
 
#ifndef _REF_GEN_2_1_H_
#define _REF_GEN_2_1_H_
 
#ifdef _STDINT_H
    #undef _STDINT_H
#endif
#ifdef _GCC_STDINT_H    // for cray
    #undef _GCC_STDINT_H // original stdint does #include_next<"/opt/gcc/4.5.2/snos/lib/gcc/x86_64-suse-linux/4.5.2/include/stdint-gcc.h">
#endif
 
#ifndef __STDC_CONSTANT_MACROS
#define __STDC_CONSTANT_MACROS
#endif
#ifndef __STDC_LIMIT_MACROS
#define __STDC_LIMIT_MACROS
#endif
#include <stdint.h>
#include <inttypes.h>
#include <errno.h>
 
#include <vector>
#include <limits>
#include "SpDefs.h"
#include "StackEntry.h"
#include "promote.h"
#include "Isect.h"
#include "HeapEntry.h"
#include "SpImpl.h"
#include "graph500/generator/graph_generator.h"
#include "graph500/generator/utils.h"
 
namespace combblas {
 
 
/* Initiator settings: for faster random number generation, the initiator
 * probabilities are defined as fractions (a = INITIATOR_A_NUMERATOR /
 * INITIATOR_DENOMINATOR, b = c = INITIATOR_BC_NUMERATOR /
 * INITIATOR_DENOMINATOR, d = 1 - a - b - c. */
#define INITIATOR_A_NUMERATOR 5700
#define INITIATOR_BC_NUMERATOR 1900
#define INITIATOR_DENOMINATOR 10000
 
/* If this macro is defined to a non-zero value, use SPK_NOISE_LEVEL /
 * INITIATOR_DENOMINATOR as the noise parameter to use in introducing noise
 * into the graph parameters.  The approach used is from "A Hitchhiker's Guide
 * to Choosing Parameters of Stochastic Kronecker Graphs" by C. Seshadhri, Ali
 * Pinar, and Tamara G. Kolda (http://arxiv.org/abs/1102.5046v1), except that
 * the adjustment here is chosen based on the current level being processed
 * rather than being chosen randomly. */
#define SPK_NOISE_LEVEL 0
/* #define SPK_NOISE_LEVEL 1000 -- in INITIATOR_DENOMINATOR units */
 
 
class RefGen21
{
public:
 
    /* Spread the two 64-bit numbers into five nonzero values in the correct range (2 parameter version) */
    static void make_mrg_seed_short(uint64_t userseed, uint_fast32_t* seed) 
    {
        seed[0] = (userseed & 0x3FFFFFFF) + 1;
        seed[1] = ((userseed >> 30) & 0x3FFFFFFF) + 1;
        seed[2] = (userseed & 0x3FFFFFFF) + 1;
        seed[3] = ((userseed >> 30) & 0x3FFFFFFF) + 1;
        seed[4] = ((userseed >> 60) << 4) + (userseed >> 60) + 1;
    }
 
    static int generate_4way_bernoulli(mrg_state* st, int level, int nlevels) 
    {
        /* Generator a pseudorandom number in the range [0, INITIATOR_DENOMINATOR) without modulo bias. */
        static const uint32_t limit = (UINT32_C(0xFFFFFFFF) % INITIATOR_DENOMINATOR);
        uint32_t val = mrg_get_uint_orig(st);
        if (/* Unlikely */ val < limit) {
                do 
            {
                    val = mrg_get_uint_orig(st);
                } 
            while (val < limit);
        }
        #if SPK_NOISE_LEVEL == 0
        int spk_noise_factor = 0;
        #else
        int spk_noise_factor = 2 * SPK_NOISE_LEVEL * level / nlevels - SPK_NOISE_LEVEL;
        #endif
        int adjusted_bc_numerator = INITIATOR_BC_NUMERATOR + spk_noise_factor;
        val %= INITIATOR_DENOMINATOR;
        if ((signed)val < adjusted_bc_numerator) return 1;
        val -= adjusted_bc_numerator;
        if ((signed)val < adjusted_bc_numerator) return 2;
        val -= adjusted_bc_numerator;
        #if SPK_NOISE_LEVEL == 0
        if (val < INITIATOR_A_NUMERATOR) return 0;
        #else
        if (val < INITIATOR_A_NUMERATOR * (INITIATOR_DENOMINATOR - 2 * INITIATOR_BC_NUMERATOR) / (INITIATOR_DENOMINATOR - 2 * adjusted_bc_numerator)) return 0;
        #endif
        return 3;
    }
 
    /* Reverse bits in a number; this should be optimized for performance
    * (including using bit- or byte-reverse intrinsics if your platform has them).
    * */
    static inline uint64_t bitreverse(uint64_t x) 
    {
        #if __GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3)
        #define USE_GCC_BYTESWAP /* __builtin_bswap* are in 4.3 but not 4.2 */
        #endif
 
        #ifdef FAST_64BIT_ARITHMETIC
 
         /* 64-bit code */
        #ifdef USE_GCC_BYTESWAP
         x = __builtin_bswap64(x);
        #else
         x = (x >> 32) | (x << 32);
         x = ((x >> 16) & UINT64_C(0x0000FFFF0000FFFF)) | ((x & UINT64_C(0x0000FFFF0000FFFF)) << 16);
         x = ((x >>  8) & UINT64_C(0x00FF00FF00FF00FF)) | ((x & UINT64_C(0x00FF00FF00FF00FF)) <<  8);
        #endif
        x = ((x >>  4) & UINT64_C(0x0F0F0F0F0F0F0F0F)) | ((x & UINT64_C(0x0F0F0F0F0F0F0F0F)) <<  4);
        x = ((x >>  2) & UINT64_C(0x3333333333333333)) | ((x & UINT64_C(0x3333333333333333)) <<  2);
        x = ((x >>  1) & UINT64_C(0x5555555555555555)) | ((x & UINT64_C(0x5555555555555555)) <<  1);
        return x;
 
        #else
 
        /* 32-bit code */
        uint32_t h = (uint32_t)(x >> 32);
        uint32_t l = (uint32_t)(x & UINT32_MAX);
        #ifdef USE_GCC_BYTESWAP
         h = __builtin_bswap32(h);
         l = __builtin_bswap32(l);
        #else
         h = (h >> 16) | (h << 16);
         l = (l >> 16) | (l << 16);
         h = ((h >> 8) & UINT32_C(0x00FF00FF)) | ((h & UINT32_C(0x00FF00FF)) << 8);
         l = ((l >> 8) & UINT32_C(0x00FF00FF)) | ((l & UINT32_C(0x00FF00FF)) << 8);
        #endif
        h = ((h >> 4) & UINT32_C(0x0F0F0F0F)) | ((h & UINT32_C(0x0F0F0F0F)) << 4);
        l = ((l >> 4) & UINT32_C(0x0F0F0F0F)) | ((l & UINT32_C(0x0F0F0F0F)) << 4);
        h = ((h >> 2) & UINT32_C(0x33333333)) | ((h & UINT32_C(0x33333333)) << 2);
        l = ((l >> 2) & UINT32_C(0x33333333)) | ((l & UINT32_C(0x33333333)) << 2);
        h = ((h >> 1) & UINT32_C(0x55555555)) | ((h & UINT32_C(0x55555555)) << 1);
        l = ((l >> 1) & UINT32_C(0x55555555)) | ((l & UINT32_C(0x55555555)) << 1);
        return ((uint64_t)l << 32) | h; /* Swap halves */
 
        #endif
    }
 
 
    /* Apply a permutation to scramble vertex numbers; a randomly generated
    * permutation is not used because applying it at scale is too expensive. */
    static inline int64_t scramble(int64_t v0, int lgN, uint64_t val0, uint64_t val1) 
    {
        uint64_t v = (uint64_t)v0;
        v += val0 + val1;
        v *= (val0 | UINT64_C(0x4519840211493211));
        v = (RefGen21::bitreverse(v) >> (64 - lgN));
        assert ((v >> lgN) == 0);
        v *= (val1 | UINT64_C(0x3050852102C843A5));
        v = (RefGen21::bitreverse(v) >> (64 - lgN));
        assert ((v >> lgN) == 0);
        return (int64_t)v;
    }
 
    /* Make a single graph edge using a pre-set MRG state. */
    static void make_one_edge(int64_t nverts, int level, int lgN, mrg_state* st, packed_edge* result, uint64_t val0, uint64_t val1) 
    {
        int64_t base_src = 0, base_tgt = 0;
        while (nverts > 1) 
        {
                int square = generate_4way_bernoulli(st, level, lgN);
                int src_offset = square / 2;
                int tgt_offset = square % 2;
                assert (base_src <= base_tgt);
                if (base_src == base_tgt) 
            {
                    /* Clip-and-flip for undirected graph */
                    if (src_offset > tgt_offset) {
                        int temp = src_offset;
                        src_offset = tgt_offset;
                        tgt_offset = temp;
                    }
                }
                nverts /= 2;
                ++level;
                base_src += nverts * src_offset;
                base_tgt += nverts * tgt_offset;
        }
        write_edge(result,
                    scramble(base_src, lgN, val0, val1),
                    scramble(base_tgt, lgN, val0, val1));
    }
 
    static inline mrg_state MakeScrambleValues(uint64_t & val0, uint64_t & val1, const uint_fast32_t seed[])
    {
        mrg_state state;
        mrg_seed(&state, seed);
            mrg_state new_state = state;
            mrg_skip(&new_state, 50, 7, 0);
            val0 = mrg_get_uint_orig(&new_state);
            val0 *= UINT64_C(0xFFFFFFFF);
            val0 += mrg_get_uint_orig(&new_state);
            val1 = mrg_get_uint_orig(&new_state);
            val1 *= UINT64_C(0xFFFFFFFF);
            val1 += mrg_get_uint_orig(&new_state);
        return state;
    }
 
    /* Generate a range of edges (from start_edge to end_edge of the total graph),
     * writing into elements [0, end_edge - start_edge) of the edges array.  This
     * code is parallel on OpenMP, it must be used with separately-implemented SPMD parallelism for MPI. 
     */
    static void generate_kronecker_range(   const uint_fast32_t seed[5] /* All values in [0, 2^31 - 1), not all zero */,
                        int logN /* In base 2 */, int64_t start_edge, int64_t end_edge, packed_edge* edges) 
    {
        int64_t nverts = (int64_t)1 << logN;
        uint64_t val0, val1; /* Values for scrambling */
        mrg_state state = MakeScrambleValues(val0, val1, seed);
 
        #ifdef _OPENMP
        #pragma omp parallel for
        #endif
        for (int64_t ei = start_edge; ei < end_edge; ++ei) 
        {
                mrg_state new_state = state;
            mrg_skip(&new_state, 0, ei, 0);
                make_one_edge(nverts, 0, logN, &new_state, edges + (ei - start_edge), val0, val1);
        }
    }
    static inline void compute_edge_range(int rank, int size, int64_t M, int64_t* start_idx, int64_t* end_idx) 
    {
        int64_t rankc = (int64_t)(rank);
        int64_t sizec = (int64_t)(size);
        *start_idx = rankc * (M / sizec) + (rankc < (M % sizec) ? rankc : (M % sizec));
        *end_idx = (rankc + 1) * (M / sizec) + (rankc + 1 < (M % sizec) ? rankc + 1 : (M % sizec));
    }
 
    static inline void make_graph(int log_numverts, int64_t M, int64_t* nedges_ptr, packed_edge** result_ptr, MPI_Comm & world)
    {
        int rank, size;
#ifdef DETERMINISTIC
        uint64_t userseed1 = 0;
#else
        uint64_t userseed1 = (uint64_t) init_random();
#endif
 
        /* Spread the two 64-bit numbers into five nonzero values in the correct range. */
        uint_fast32_t seed[5];
        make_mrg_seed(userseed1, userseed1, seed);
 
        MPI_Comm_rank(world, &rank);
        MPI_Comm_size(world, &size);
 
        int64_t start_idx, end_idx;
        compute_edge_range(rank, size, M, &start_idx, &end_idx);
        int64_t nedges = end_idx - start_idx;
 
        packed_edge* local_edges = new packed_edge[nedges];
 
        double start = MPI_Wtime();
        generate_kronecker_range(seed, log_numverts, start_idx, end_idx, local_edges);
        double gen_time = MPI_Wtime() - start;
 
        *result_ptr = local_edges;
        *nedges_ptr = nedges;
 
        if (rank == 0) 
        {
                fprintf(stdout, "graph_generation:               %f s\n", gen_time);
        }
    }
 
    static inline long init_random ()
    {
        long seed = -1;
        if (getenv ("SEED")) 
        {
                errno = 0;
                seed = strtol (getenv ("SEED"), NULL, 10);
                if (errno) seed = -1;
        }
 
        if (seed < 0) seed = 0xDECAFBAD;
        return seed;
    }
};
 
}
 
#endif