/******************************************************************************
 * rb_lock_mutex.c
 *
 * Lock-based red-black trees, based on Hanke's relaxed balancing operations.
 *
 * For more details on the local tree restructuring operations used here:
 *  S. Hanke, T. Ottmann, and E. Soisalon-Soininen.
 *  "Relaxed balanced red-black trees".
 *  3rd Italian Conference on Algorithms and Complexity, pages 193-204.
 *
 * Rather than issuing up-in and up-out requests to a balancing process,
 * each operation is directly responsible for local rebalancing. However,
 * this process can be split into a number of individual restructuring
 * operations, and locks can be released between each operation. Between
 * operations, we mark the node concerned as UNBALANCED -- contending
 * updates will then wait for this mark to be removed before continuing.
 *
 * Copyright (c) 2002-2003, K A Fraser

Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
met:

    * Redistributions of source code must retain the above copyright
    * notice, this list of conditions and the following disclaimer.
    * Redistributions in binary form must reproduce the above
    * copyright notice, this list of conditions and the following
    * disclaimer in the documentation and/or other materials provided
    * with the distribution.  Neither the name of the Keir Fraser
    * nor the names of its contributors may be used to endorse or
    * promote products derived from this software without specific
    * prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */

#define __SET_IMPLEMENTATION__

#include <stdio.h>
#include <assert.h>
#include <stdlib.h>
#include <unistd.h>
#include "portable_defns.h"
#include "gc.h"
#include "set.h"

#define BLACK_MARK      0
#define RED_MARK        1
#define UNBALANCED_MARK 2

#define SET_VALUE(_v,_n)  \
    ((_v) = ((setval_t)(((unsigned long)(_v)&3)|((unsigned long)(_n)))))
#define GET_VALUE(_v)     ((setval_t)((int_addr_t)(_v) & ~3UL))
#define GET_COLOUR(_v)    ((int_addr_t)(_v) & 1)
#define SET_COLOUR(_v,_c) \
    ((setval_t)(((unsigned long)(_v)&~1UL)|(unsigned long)(_c)))

#define IS_BLACK(_v)      (GET_COLOUR(_v) == 0)
#define IS_RED(_v)        (GET_COLOUR(_v) == 1)
#define IS_UNBALANCED(_v) (((int_addr_t)(_v) & 2) == 2)

#define MK_BLACK(_v)      ((setval_t)(((int_addr_t)(_v)&~1UL) | 0))
#define MK_RED(_v)        ((setval_t)(((int_addr_t)(_v)&~1UL) | 1))
#define MK_BALANCED(_v)   ((setval_t)(((int_addr_t)(_v)&~2UL) | 0))
#define MK_UNBALANCED(_v) ((setval_t)(((int_addr_t)(_v)&~2UL) | 2))

#define GARBAGE_VALUE     ((setval_t)4)
#define IS_GARBAGE(_n)    (GET_VALUE((_n)->v) == GARBAGE_VALUE)
#define MK_GARBAGE(_n)    (SET_VALUE((_n)->v, GARBAGE_VALUE))

#define INTERNAL_VALUE ((void *)0xdeadbee0)

#define IS_ROOT(_n) ((_n)->p->k == 0)
#define IS_LEAF(_n) ((_n)->l == NULL)

/* TRUE if node X is a child of P. */
#define ADJACENT(_p,_x) (((_p)->l==(_x))||((_p)->r==(_x)))

typedef struct node_st node_t;
typedef struct set_st set_t;

struct node_st
{
    setkey_t k;
    setval_t v;
    node_t *l, *r, *p;
    mcs_lock_t lock;
};

struct set_st
{
    node_t root;
    node_t null;
    node_t dummy_g, dummy_gg;
};

static int gc_id;

/* Nodes p, x, y must be locked. */
static void left_rotate(ptst_t *ptst, node_t *x)
{
    node_t *y = x->r, *p = x->p, *nx;

    nx    = gc_alloc(ptst, gc_id);
    nx->p = y;
    nx->l = x->l;
    nx->r = y->l;
    nx->k = x->k;
    nx->v = x->v;
    mcs_init(&nx->lock);

    WMB();

    y->p    = p;
    x->l->p = nx;
    y->l->p = nx;
    y->l    = nx;
    if ( x == p->l ) p->l = y; else p->r = y;

    MK_GARBAGE(x);
    gc_free(ptst, x, gc_id);
}


/* Nodes p, x, y must be locked. */
static void right_rotate(ptst_t *ptst, node_t *x)
{
    node_t *y = x->l, *p = x->p, *nx;

    nx    = gc_alloc(ptst, gc_id);
    nx->p = y;
    nx->l = y->r;
    nx->r = x->r;
    nx->k = x->k;
    nx->v = x->v;
    mcs_init(&nx->lock);

    WMB();

    y->p    = p;
    x->r->p = nx;
    y->r->p = nx;
    y->r    = nx;
    if ( x == p->l ) p->l = y; else p->r = y;

    MK_GARBAGE(x);
    gc_free(ptst, x, gc_id);
}


static void fix_unbalance_up(ptst_t *ptst, node_t *x)
{
    qnode_t x_qn, g_qn, p_qn, w_qn, gg_qn;
    node_t *g, *p, *w, *gg;
    int done = 0;

    do {
        assert(IS_UNBALANCED(x->v));
        if ( IS_GARBAGE(x) ) return;

        p  = x->p;
        g  = p->p;
        gg = g->p;

        mcs_lock(&gg->lock, &gg_qn);
        if ( !ADJACENT(gg, g) || IS_UNBALANCED(gg->v) || IS_GARBAGE(gg) )
            goto unlock_gg;

        mcs_lock(&g->lock, &g_qn);
        if ( !ADJACENT(g, p) || IS_UNBALANCED(g->v) ) goto unlock_ggg;

        mcs_lock(&p->lock, &p_qn);
        if ( !ADJACENT(p, x) || IS_UNBALANCED(p->v) ) goto unlock_pggg;

        mcs_lock(&x->lock, &x_qn);

        assert(IS_RED(x->v));
        assert(IS_UNBALANCED(x->v));

        if ( IS_BLACK(p->v) )
        {
            /* Case 1. Nothing to do. */
            x->v = MK_BALANCED(x->v);
            done = 1;
            goto unlock_xpggg;
        }

        if ( IS_ROOT(x) )
        {
            /* Case 2. */
            x->v = MK_BLACK(MK_BALANCED(x->v));
            done = 1;
            goto unlock_xpggg;
        }

        if ( IS_ROOT(p) )
        {
            /* Case 2. */
            p->v = MK_BLACK(p->v);
            x->v = MK_BALANCED(x->v);
            done = 1;
            goto unlock_xpggg;
        }

        if ( g->l == p ) w = g->r; else w = g->l;
        mcs_lock(&w->lock, &w_qn);

        if ( IS_RED(w->v) )
        {
            /* Case 5. */
            /* In all other cases, doesn't change colour or subtrees. */
            if ( IS_UNBALANCED(w->v) ) goto unlock_wxpggg;
            g->v = MK_UNBALANCED(MK_RED(g->v));
            p->v = MK_BLACK(p->v);
            w->v = MK_BLACK(w->v);
            x->v = MK_BALANCED(x->v);
            done = 2;
            goto unlock_wxpggg;
        }

        /* Cases 3 & 4. Both of these need the great-grandfather locked. */
        if ( p == g->l )
        {
            if ( x == p->l )
            {
                /* Case 3. Single rotation. */
                x->v = MK_BALANCED(x->v);
                p->v = MK_BLACK(p->v);
                g->v = MK_RED(g->v);
                right_rotate(ptst, g);
            }
            else
            {
                /* Case 4. Double rotation. */
                x->v = MK_BALANCED(MK_BLACK(x->v));
                g->v = MK_RED(g->v);
                left_rotate(ptst, p);
                right_rotate(ptst, g);
            }
        }
        else /* SYMMETRIC CASE */
        {
            if ( x == p->r )
            {
                /* Case 3. Single rotation. */
                x->v = MK_BALANCED(x->v);
                p->v = MK_BLACK(p->v);
                g->v = MK_RED(g->v);
                left_rotate(ptst, g);
            }
            else
            {
                /* Case 4. Double rotation. */
                x->v = MK_BALANCED(MK_BLACK(x->v));
                g->v = MK_RED(g->v);
                right_rotate(ptst, p);
                left_rotate(ptst, g);
            }
        }

        done = 1;

    unlock_wxpggg:
        mcs_unlock(&w->lock, &w_qn);
    unlock_xpggg:
        mcs_unlock(&x->lock, &x_qn);
    unlock_pggg:
        mcs_unlock(&p->lock, &p_qn);
    unlock_ggg:
        mcs_unlock(&g->lock, &g_qn);
    unlock_gg:
        mcs_unlock(&gg->lock, &gg_qn);

        if ( done == 2 )
        {
            x = g;
            done = 0;
        }
    }
    while ( !done );
}


static void fix_unbalance_down(ptst_t *ptst, node_t *x)
{
    /* WN == W_NEAR, WF == W_FAR (W_FAR is further, in key space, from X). */
    qnode_t x_qn, w_qn, p_qn, g_qn, wn_qn, wf_qn;
    node_t *w, *p, *g, *wn, *wf;
    int done = 0;

    do {
        if ( !IS_UNBALANCED(x->v) || IS_GARBAGE(x) ) return;

        p = x->p;
        g = p->p;

        mcs_lock(&g->lock, &g_qn);
        if ( !ADJACENT(g, p) || IS_UNBALANCED(g->v) || IS_GARBAGE(g) )
            goto unlock_g;

        mcs_lock(&p->lock, &p_qn);
        if ( !ADJACENT(p, x) || IS_UNBALANCED(p->v) ) goto unlock_pg;

        mcs_lock(&x->lock, &x_qn);

        if ( !IS_BLACK(x->v) || !IS_UNBALANCED(x->v) )
        {
            done = 1;
            goto unlock_xpg;
        }

        if ( IS_ROOT(x) )
        {
            x->v = MK_BALANCED(x->v);
            done = 1;
            goto unlock_xpg;
        }

        w = (x == p->l) ? p->r : p->l;
        mcs_lock(&w->lock, &w_qn);
        if ( IS_UNBALANCED(w->v) )
        {
            if ( IS_BLACK(w->v) )
            {
                /* Funky relaxed rules to the rescue. */
                x->v = MK_BALANCED(x->v);
                w->v = MK_BALANCED(w->v);
                if ( IS_BLACK(p->v) )
                {
                    p->v = MK_UNBALANCED(p->v);
                    done = 2;
                }
                else
                {
                    p->v = MK_BLACK(p->v);
                    done = 1;
                }
            }
            goto unlock_wxpg;
        }

        assert(!IS_LEAF(w));

        if ( x == p->l )
        {
            wn = w->l;
            wf = w->r;
        }
        else
        {
            wn = w->r;
            wf = w->l;
        }

        mcs_lock(&wn->lock, &wn_qn);
        /* Hanke has an extra relaxed transform here. It's not needed. */
        if ( IS_UNBALANCED(wn->v) ) goto unlock_wnwxpg;

        mcs_lock(&wf->lock, &wf_qn);
        if ( IS_UNBALANCED(wf->v) ) goto unlock_wfwnwxpg;

        if ( IS_RED(w->v) )
        {
            /* Case 1. Rotate at parent. */
            assert(IS_BLACK(p->v) && IS_BLACK(wn->v) && IS_BLACK(wf->v));
            w->v = MK_BLACK(w->v);
            p->v = MK_RED(p->v);
            if ( x == p->l ) left_rotate(ptst, p); else right_rotate(ptst, p);
            goto unlock_wfwnwxpg;
        }

        if ( IS_BLACK(wn->v) && IS_BLACK(wf->v) )
        {
            if ( IS_RED(p->v) )
            {
                /* Case 2. Simple recolouring. */
                p->v = MK_BLACK(p->v);
                done = 1;
            }
            else
            {
                /* Case 5. Simple recolouring. */
                p->v = MK_UNBALANCED(p->v);
                done = 2;
            }
            w->v = MK_RED(w->v);
            x->v = MK_BALANCED(x->v);
            goto unlock_wfwnwxpg;
        }

        if ( x == p->l )
        {
            if ( IS_RED(wf->v) )
            {
                /* Case 3. Single rotation. */
                wf->v = MK_BLACK(wf->v);
                w->v = SET_COLOUR(w->v, GET_COLOUR(p->v));
                p->v = MK_BLACK(p->v);
                x->v = MK_BALANCED(x->v);
                left_rotate(ptst, p);
            }
            else
            {
                /* Case 4. Double rotation. */
                assert(IS_RED(wn->v));
                wn->v = SET_COLOUR(wn->v, GET_COLOUR(p->v));
                p->v = MK_BLACK(p->v);
                x->v = MK_BALANCED(x->v);
                right_rotate(ptst, w);
                left_rotate(ptst, p);
            }
        }
        else /* SYMMETRIC CASE: X == P->R  */
        {
            if ( IS_RED(wf->v) )
            {
                /* Case 3. Single rotation. */
                wf->v = MK_BLACK(wf->v);
                w->v = SET_COLOUR(w->v, GET_COLOUR(p->v));
                p->v = MK_BLACK(p->v);
                x->v = MK_BALANCED(x->v);
                right_rotate(ptst, p);
            }
            else
            {
                /* Case 4. Double rotation. */
                assert(IS_RED(wn->v));
                wn->v = SET_COLOUR(wn->v, GET_COLOUR(p->v));
                p->v = MK_BLACK(p->v);
                x->v = MK_BALANCED(x->v);
                left_rotate(ptst, w);
                right_rotate(ptst, p);
            }
        }

        done = 1;

    unlock_wfwnwxpg:
        mcs_unlock(&wf->lock, &wf_qn);
    unlock_wnwxpg:
        mcs_unlock(&wn->lock, &wn_qn);
    unlock_wxpg:
        mcs_unlock(&w->lock, &w_qn);
    unlock_xpg:
        mcs_unlock(&x->lock, &x_qn);
    unlock_pg:
        mcs_unlock(&p->lock, &p_qn);
    unlock_g:
        mcs_unlock(&g->lock, &g_qn);

        if ( done == 2 )
        {
            x = p;
            done = 0;
        }
    }
    while ( !done );
}


static void delete_finish(ptst_t *ptst, node_t *x)
{
    qnode_t g_qn, p_qn, w_qn, x_qn;
    node_t *g, *p, *w;
    int done = 0;

    do {
        if ( IS_GARBAGE(x) ) return;

        p = x->p;
        g = p->p;

        mcs_lock(&g->lock, &g_qn);
        if ( !ADJACENT(g, p) || IS_UNBALANCED(g->v) || IS_GARBAGE(g) )
            goto unlock_g;

        mcs_lock(&p->lock, &p_qn);
        /* Removing unbalanced red nodes is okay. */
        if ( !ADJACENT(p, x) || (IS_UNBALANCED(p->v) && IS_BLACK(p->v)) )
            goto unlock_pg;

        mcs_lock(&x->lock, &x_qn);
        if ( IS_UNBALANCED(x->v) ) goto unlock_xpg;
        if ( GET_VALUE(x->v) != NULL )
        {
            done = 1;
            goto unlock_xpg;
        }

        if ( p->l == x ) w = p->r; else w = p->l;
        assert(w != x);
        mcs_lock(&w->lock, &w_qn);
        if ( IS_UNBALANCED(w->v) ) goto unlock_wxpg;

        if ( g->l == p ) g->l = w; else g->r = w;
        MK_GARBAGE(p); gc_free(ptst, p, gc_id);
        MK_GARBAGE(x); gc_free(ptst, x, gc_id);
        w->p = g;
        if ( IS_BLACK(p->v) && IS_BLACK(w->v) )
        {
            w->v = MK_UNBALANCED(w->v);
            done = 2;
        }
        else
        {
            w->v = MK_BLACK(w->v);
            done = 1;
        }

    unlock_wxpg:
        mcs_unlock(&w->lock, &w_qn);
    unlock_xpg:
        mcs_unlock(&x->lock, &x_qn);
    unlock_pg:
        mcs_unlock(&p->lock, &p_qn);
    unlock_g:
        mcs_unlock(&g->lock, &g_qn);
    }
    while ( !done );

    if ( done == 2 ) fix_unbalance_down(ptst, w);
}


set_t *set_alloc(void)
{
    ptst_t *ptst;
    set_t  *set;
    node_t *root, *null;

    ptst = critical_enter();

    set = (set_t *)malloc(sizeof(*set));
    memset(set, 0, sizeof(*set));

    root = &set->root;
    null = &set->null;

    root->k = 0;
    root->v = MK_RED(INTERNAL_VALUE);
    root->l = NULL;
    root->r = null;
    root->p = NULL;
    mcs_init(&root->lock);

    null->k = SENTINEL_KEYMIN;
    null->v = MK_BLACK(INTERNAL_VALUE);
    null->l = NULL;
    null->r = NULL;
    null->p = root;
    mcs_init(&null->lock);

    set->dummy_gg.l = &set->dummy_g;
    set->dummy_g.p  = &set->dummy_gg;
    set->dummy_g.l  = &set->root;
    set->root.p     = &set->dummy_g;

    critical_exit(ptst);

    return set;
}


setval_t set_update(set_t *s, setkey_t k, setval_t v, int overwrite)
{
    ptst_t  *ptst;
    qnode_t  y_qn, z_qn;
    node_t  *y, *z, *new_internal, *new_leaf;
    int      fix_up = 0;
    setval_t ov = NULL;

    k = CALLER_TO_INTERNAL_KEY(k);

    ptst = critical_enter();

 retry:
    z = &s->root;
    while ( (y = (k <= z->k) ? z->l : z->r) != NULL )
        z = y;

    y = z->p;
    mcs_lock(&y->lock, &y_qn);
    if ( (((k <= y->k) ? y->l : y->r) != z) || IS_GARBAGE(y) )
    {
        mcs_unlock(&y->lock, &y_qn);
        goto retry;
    }

    mcs_lock(&z->lock, &z_qn);
    assert(!IS_GARBAGE(z) && IS_LEAF(z));

    if ( z->k == k )
    {
        ov = GET_VALUE(z->v);
        if ( overwrite || (ov == NULL) )
            SET_VALUE(z->v, v);
    }
    else
    {
        new_leaf     = gc_alloc(ptst, gc_id);
        new_internal = gc_alloc(ptst, gc_id);
        new_leaf->k = k;
        new_leaf->v = MK_BLACK(v);
        new_leaf->l = NULL;
        new_leaf->r = NULL;

        new_leaf->p = new_internal;
        mcs_init(&new_leaf->lock);
        if ( z->k < k )
        {
            new_internal->k = z->k;
            new_internal->l = z;
            new_internal->r = new_leaf;
        }
        else
        {
            new_internal->k = k;
            new_internal->l = new_leaf;
            new_internal->r = z;
        }
        new_internal->p = y;
        mcs_init(&new_internal->lock);

        if ( IS_UNBALANCED(z->v) )
        {
            z->v = MK_BALANCED(z->v);
            new_internal->v = MK_BLACK(INTERNAL_VALUE);
        }
        else if ( IS_RED(y->v) )
        {
            new_internal->v = MK_UNBALANCED(MK_RED(INTERNAL_VALUE));
            fix_up = 1;
        }
        else
        {
            new_internal->v = MK_RED(INTERNAL_VALUE);
        }

        WMB();

        z->p = new_internal;
        if ( y->l == z ) y->l = new_internal; else y->r = new_internal;
    }

    mcs_unlock(&y->lock, &y_qn);
    mcs_unlock(&z->lock, &z_qn);

    if ( fix_up )
        fix_unbalance_up(ptst, new_internal);

 out:
    critical_exit(ptst);

    return ov;
}


setval_t set_remove(set_t *s, setkey_t k)
{
    ptst_t  *ptst;
    node_t  *y, *z;
    qnode_t  z_qn;
    setval_t ov = NULL;

    k = CALLER_TO_INTERNAL_KEY(k);

    ptst = critical_enter();

    z = &s->root;
    while ( (y = (k <= z->k) ? z->l : z->r) != NULL )
        z = y;

    if ( z->k == k )
    {
        mcs_lock(&z->lock, &z_qn);
        if ( !IS_GARBAGE(z) )
        {
            ov = GET_VALUE(z->v);

            SET_VALUE(z->v, NULL);
        }
        mcs_unlock(&z->lock, &z_qn);
    }

    if ( ov != NULL )
        delete_finish(ptst, z);

    critical_exit(ptst);

    return ov;
}


setval_t set_lookup(set_t *s, setkey_t k)
{
    ptst_t  *ptst;
    node_t  *m, *n;
    setval_t v;

    k = CALLER_TO_INTERNAL_KEY(k);

    ptst = critical_enter();

    n = &s->root;
    while ( (m = (k <= n->k) ? n->l : n->r) != NULL )
        n = m;

    v = (k == n->k) ? GET_VALUE(n->v) : NULL;
    if ( v == GARBAGE_VALUE ) v = NULL;

    critical_exit(ptst);

    return v;
}


void _init_set_subsystem(void)
{
    gc_id = gc_add_allocator(sizeof(node_t));
}

#if 0
static int valll=0, bug=0, nrb=-1;
static void __traverse(node_t *n, int d, int _nrb)
{
    int i;
    if ( n == NULL )
    {
        if ( nrb == -1 ) nrb = _nrb;
        if ( nrb != _nrb )
            printf("Imbalance at depth %d (%d,%d)\n", d, nrb, _nrb);
        return;
    }
    if ( IS_LEAF(n) && (n->k != 0) )
    {
        assert(n->l == NULL);
        assert(n->r == NULL);
        assert(IS_BLACK(n->v));
    }
    if ( !IS_LEAF(n) && IS_RED(n->v) )
    {
        assert(IS_BLACK(n->l->v));
        assert(IS_BLACK(n->r->v));
    }
    if ( IS_BLACK(n->v) ) _nrb++;
    __traverse(n->l, d+1, _nrb);
    if ( valll > n->k ) bug=1;
#if 0
    for ( i = 0; i < d; i++ ) printf("  ");
    printf("%c%p K: %5d  V: %p  P: %p  L: %p  R: %p  depth: %d\n",
           IS_BLACK(n->v) ? 'B' : 'R', n, n->k, n->v, n->p, n->l, n->r, d);
#endif
    valll = n->k;
    __traverse(n->r, d+1, _nrb);
}
void check_tree(set_t *s)
{
    __traverse(s->root.r, 0, 0);
    if ( bug )
        printf("***********************************************************************************************\n");
}
#endif