qemu/numa.c
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   1/*
   2 * NUMA parameter parsing routines
   3 *
   4 * Copyright (c) 2014 Fujitsu Ltd.
   5 *
   6 * Permission is hereby granted, free of charge, to any person obtaining a copy
   7 * of this software and associated documentation files (the "Software"), to deal
   8 * in the Software without restriction, including without limitation the rights
   9 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
  10 * copies of the Software, and to permit persons to whom the Software is
  11 * furnished to do so, subject to the following conditions:
  12 *
  13 * The above copyright notice and this permission notice shall be included in
  14 * all copies or substantial portions of the Software.
  15 *
  16 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
  17 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  18 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
  19 * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  20 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
  21 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
  22 * THE SOFTWARE.
  23 */
  24
  25#include "qemu/osdep.h"
  26#include "sysemu/numa.h"
  27#include "exec/cpu-common.h"
  28#include "exec/ramlist.h"
  29#include "qemu/bitmap.h"
  30#include "qom/cpu.h"
  31#include "qemu/error-report.h"
  32#include "qapi/error.h"
  33#include "qapi/opts-visitor.h"
  34#include "qapi/qapi-commands-misc.h"
  35#include "qapi/qapi-visit-misc.h"
  36#include "hw/boards.h"
  37#include "sysemu/hostmem.h"
  38#include "hw/mem/pc-dimm.h"
  39#include "hw/mem/memory-device.h"
  40#include "qemu/option.h"
  41#include "qemu/config-file.h"
  42#include "qemu/cutils.h"
  43
  44QemuOptsList qemu_numa_opts = {
  45    .name = "numa",
  46    .implied_opt_name = "type",
  47    .head = QTAILQ_HEAD_INITIALIZER(qemu_numa_opts.head),
  48    .desc = { { 0 } } /* validated with OptsVisitor */
  49};
  50
  51static int have_memdevs = -1;
  52static int max_numa_nodeid; /* Highest specified NUMA node ID, plus one.
  53                             * For all nodes, nodeid < max_numa_nodeid
  54                             */
  55int nb_numa_nodes;
  56bool have_numa_distance;
  57NodeInfo numa_info[MAX_NODES];
  58
  59
  60static void parse_numa_node(MachineState *ms, NumaNodeOptions *node,
  61                            Error **errp)
  62{
  63    Error *err = NULL;
  64    uint16_t nodenr;
  65    uint16List *cpus = NULL;
  66    MachineClass *mc = MACHINE_GET_CLASS(ms);
  67
  68    if (node->has_nodeid) {
  69        nodenr = node->nodeid;
  70    } else {
  71        nodenr = nb_numa_nodes;
  72    }
  73
  74    if (nodenr >= MAX_NODES) {
  75        error_setg(errp, "Max number of NUMA nodes reached: %"
  76                   PRIu16 "", nodenr);
  77        return;
  78    }
  79
  80    if (numa_info[nodenr].present) {
  81        error_setg(errp, "Duplicate NUMA nodeid: %" PRIu16, nodenr);
  82        return;
  83    }
  84
  85    if (!mc->cpu_index_to_instance_props || !mc->get_default_cpu_node_id) {
  86        error_setg(errp, "NUMA is not supported by this machine-type");
  87        return;
  88    }
  89    for (cpus = node->cpus; cpus; cpus = cpus->next) {
  90        CpuInstanceProperties props;
  91        if (cpus->value >= max_cpus) {
  92            error_setg(errp,
  93                       "CPU index (%" PRIu16 ")"
  94                       " should be smaller than maxcpus (%d)",
  95                       cpus->value, max_cpus);
  96            return;
  97        }
  98        props = mc->cpu_index_to_instance_props(ms, cpus->value);
  99        props.node_id = nodenr;
 100        props.has_node_id = true;
 101        machine_set_cpu_numa_node(ms, &props, &err);
 102        if (err) {
 103            error_propagate(errp, err);
 104            return;
 105        }
 106    }
 107
 108    if (node->has_mem && node->has_memdev) {
 109        error_setg(errp, "cannot specify both mem= and memdev=");
 110        return;
 111    }
 112
 113    if (have_memdevs == -1) {
 114        have_memdevs = node->has_memdev;
 115    }
 116    if (node->has_memdev != have_memdevs) {
 117        error_setg(errp, "memdev option must be specified for either "
 118                   "all or no nodes");
 119        return;
 120    }
 121
 122    if (node->has_mem) {
 123        numa_info[nodenr].node_mem = node->mem;
 124    }
 125    if (node->has_memdev) {
 126        Object *o;
 127        o = object_resolve_path_type(node->memdev, TYPE_MEMORY_BACKEND, NULL);
 128        if (!o) {
 129            error_setg(errp, "memdev=%s is ambiguous", node->memdev);
 130            return;
 131        }
 132
 133        object_ref(o);
 134        numa_info[nodenr].node_mem = object_property_get_uint(o, "size", NULL);
 135        numa_info[nodenr].node_memdev = MEMORY_BACKEND(o);
 136    }
 137    numa_info[nodenr].present = true;
 138    max_numa_nodeid = MAX(max_numa_nodeid, nodenr + 1);
 139    nb_numa_nodes++;
 140}
 141
 142static void parse_numa_distance(NumaDistOptions *dist, Error **errp)
 143{
 144    uint16_t src = dist->src;
 145    uint16_t dst = dist->dst;
 146    uint8_t val = dist->val;
 147
 148    if (src >= MAX_NODES || dst >= MAX_NODES) {
 149        error_setg(errp, "Parameter '%s' expects an integer between 0 and %d",
 150                   src >= MAX_NODES ? "src" : "dst", MAX_NODES - 1);
 151        return;
 152    }
 153
 154    if (!numa_info[src].present || !numa_info[dst].present) {
 155        error_setg(errp, "Source/Destination NUMA node is missing. "
 156                   "Please use '-numa node' option to declare it first.");
 157        return;
 158    }
 159
 160    if (val < NUMA_DISTANCE_MIN) {
 161        error_setg(errp, "NUMA distance (%" PRIu8 ") is invalid, "
 162                   "it shouldn't be less than %d.",
 163                   val, NUMA_DISTANCE_MIN);
 164        return;
 165    }
 166
 167    if (src == dst && val != NUMA_DISTANCE_MIN) {
 168        error_setg(errp, "Local distance of node %d should be %d.",
 169                   src, NUMA_DISTANCE_MIN);
 170        return;
 171    }
 172
 173    numa_info[src].distance[dst] = val;
 174    have_numa_distance = true;
 175}
 176
 177static
 178void set_numa_options(MachineState *ms, NumaOptions *object, Error **errp)
 179{
 180    Error *err = NULL;
 181
 182    switch (object->type) {
 183    case NUMA_OPTIONS_TYPE_NODE:
 184        parse_numa_node(ms, &object->u.node, &err);
 185        if (err) {
 186            goto end;
 187        }
 188        break;
 189    case NUMA_OPTIONS_TYPE_DIST:
 190        parse_numa_distance(&object->u.dist, &err);
 191        if (err) {
 192            goto end;
 193        }
 194        break;
 195    case NUMA_OPTIONS_TYPE_CPU:
 196        if (!object->u.cpu.has_node_id) {
 197            error_setg(&err, "Missing mandatory node-id property");
 198            goto end;
 199        }
 200        if (!numa_info[object->u.cpu.node_id].present) {
 201            error_setg(&err, "Invalid node-id=%" PRId64 ", NUMA node must be "
 202                "defined with -numa node,nodeid=ID before it's used with "
 203                "-numa cpu,node-id=ID", object->u.cpu.node_id);
 204            goto end;
 205        }
 206
 207        machine_set_cpu_numa_node(ms, qapi_NumaCpuOptions_base(&object->u.cpu),
 208                                  &err);
 209        break;
 210    default:
 211        abort();
 212    }
 213
 214end:
 215    error_propagate(errp, err);
 216}
 217
 218static int parse_numa(void *opaque, QemuOpts *opts, Error **errp)
 219{
 220    NumaOptions *object = NULL;
 221    MachineState *ms = MACHINE(opaque);
 222    Error *err = NULL;
 223    Visitor *v = opts_visitor_new(opts);
 224
 225    visit_type_NumaOptions(v, NULL, &object, &err);
 226    visit_free(v);
 227    if (err) {
 228        goto end;
 229    }
 230
 231    /* Fix up legacy suffix-less format */
 232    if ((object->type == NUMA_OPTIONS_TYPE_NODE) && object->u.node.has_mem) {
 233        const char *mem_str = qemu_opt_get(opts, "mem");
 234        qemu_strtosz_MiB(mem_str, NULL, &object->u.node.mem);
 235    }
 236
 237    set_numa_options(ms, object, &err);
 238
 239end:
 240    qapi_free_NumaOptions(object);
 241    if (err) {
 242        error_propagate(errp, err);
 243        return -1;
 244    }
 245
 246    return 0;
 247}
 248
 249/* If all node pair distances are symmetric, then only distances
 250 * in one direction are enough. If there is even one asymmetric
 251 * pair, though, then all distances must be provided. The
 252 * distance from a node to itself is always NUMA_DISTANCE_MIN,
 253 * so providing it is never necessary.
 254 */
 255static void validate_numa_distance(void)
 256{
 257    int src, dst;
 258    bool is_asymmetrical = false;
 259
 260    for (src = 0; src < nb_numa_nodes; src++) {
 261        for (dst = src; dst < nb_numa_nodes; dst++) {
 262            if (numa_info[src].distance[dst] == 0 &&
 263                numa_info[dst].distance[src] == 0) {
 264                if (src != dst) {
 265                    error_report("The distance between node %d and %d is "
 266                                 "missing, at least one distance value "
 267                                 "between each nodes should be provided.",
 268                                 src, dst);
 269                    exit(EXIT_FAILURE);
 270                }
 271            }
 272
 273            if (numa_info[src].distance[dst] != 0 &&
 274                numa_info[dst].distance[src] != 0 &&
 275                numa_info[src].distance[dst] !=
 276                numa_info[dst].distance[src]) {
 277                is_asymmetrical = true;
 278            }
 279        }
 280    }
 281
 282    if (is_asymmetrical) {
 283        for (src = 0; src < nb_numa_nodes; src++) {
 284            for (dst = 0; dst < nb_numa_nodes; dst++) {
 285                if (src != dst && numa_info[src].distance[dst] == 0) {
 286                    error_report("At least one asymmetrical pair of "
 287                            "distances is given, please provide distances "
 288                            "for both directions of all node pairs.");
 289                    exit(EXIT_FAILURE);
 290                }
 291            }
 292        }
 293    }
 294}
 295
 296static void complete_init_numa_distance(void)
 297{
 298    int src, dst;
 299
 300    /* Fixup NUMA distance by symmetric policy because if it is an
 301     * asymmetric distance table, it should be a complete table and
 302     * there would not be any missing distance except local node, which
 303     * is verified by validate_numa_distance above.
 304     */
 305    for (src = 0; src < nb_numa_nodes; src++) {
 306        for (dst = 0; dst < nb_numa_nodes; dst++) {
 307            if (numa_info[src].distance[dst] == 0) {
 308                if (src == dst) {
 309                    numa_info[src].distance[dst] = NUMA_DISTANCE_MIN;
 310                } else {
 311                    numa_info[src].distance[dst] = numa_info[dst].distance[src];
 312                }
 313            }
 314        }
 315    }
 316}
 317
 318void numa_legacy_auto_assign_ram(MachineClass *mc, NodeInfo *nodes,
 319                                 int nb_nodes, ram_addr_t size)
 320{
 321    int i;
 322    uint64_t usedmem = 0;
 323
 324    /* Align each node according to the alignment
 325     * requirements of the machine class
 326     */
 327
 328    for (i = 0; i < nb_nodes - 1; i++) {
 329        nodes[i].node_mem = (size / nb_nodes) &
 330                            ~((1 << mc->numa_mem_align_shift) - 1);
 331        usedmem += nodes[i].node_mem;
 332    }
 333    nodes[i].node_mem = size - usedmem;
 334}
 335
 336void numa_default_auto_assign_ram(MachineClass *mc, NodeInfo *nodes,
 337                                  int nb_nodes, ram_addr_t size)
 338{
 339    int i;
 340    uint64_t usedmem = 0, node_mem;
 341    uint64_t granularity = size / nb_nodes;
 342    uint64_t propagate = 0;
 343
 344    for (i = 0; i < nb_nodes - 1; i++) {
 345        node_mem = (granularity + propagate) &
 346                   ~((1 << mc->numa_mem_align_shift) - 1);
 347        propagate = granularity + propagate - node_mem;
 348        nodes[i].node_mem = node_mem;
 349        usedmem += node_mem;
 350    }
 351    nodes[i].node_mem = size - usedmem;
 352}
 353
 354void numa_complete_configuration(MachineState *ms)
 355{
 356    int i;
 357    MachineClass *mc = MACHINE_GET_CLASS(ms);
 358
 359    /*
 360     * If memory hotplug is enabled (slots > 0) but without '-numa'
 361     * options explicitly on CLI, guestes will break.
 362     *
 363     *   Windows: won't enable memory hotplug without SRAT table at all
 364     *
 365     *   Linux: if QEMU is started with initial memory all below 4Gb
 366     *   and no SRAT table present, guest kernel will use nommu DMA ops,
 367     *   which breaks 32bit hw drivers when memory is hotplugged and
 368     *   guest tries to use it with that drivers.
 369     *
 370     * Enable NUMA implicitly by adding a new NUMA node automatically.
 371     */
 372    if (ms->ram_slots > 0 && nb_numa_nodes == 0 &&
 373        mc->auto_enable_numa_with_memhp) {
 374            NumaNodeOptions node = { };
 375            parse_numa_node(ms, &node, &error_abort);
 376    }
 377
 378    assert(max_numa_nodeid <= MAX_NODES);
 379
 380    /* No support for sparse NUMA node IDs yet: */
 381    for (i = max_numa_nodeid - 1; i >= 0; i--) {
 382        /* Report large node IDs first, to make mistakes easier to spot */
 383        if (!numa_info[i].present) {
 384            error_report("numa: Node ID missing: %d", i);
 385            exit(1);
 386        }
 387    }
 388
 389    /* This must be always true if all nodes are present: */
 390    assert(nb_numa_nodes == max_numa_nodeid);
 391
 392    if (nb_numa_nodes > 0) {
 393        uint64_t numa_total;
 394
 395        if (nb_numa_nodes > MAX_NODES) {
 396            nb_numa_nodes = MAX_NODES;
 397        }
 398
 399        /* If no memory size is given for any node, assume the default case
 400         * and distribute the available memory equally across all nodes
 401         */
 402        for (i = 0; i < nb_numa_nodes; i++) {
 403            if (numa_info[i].node_mem != 0) {
 404                break;
 405            }
 406        }
 407        if (i == nb_numa_nodes) {
 408            assert(mc->numa_auto_assign_ram);
 409            mc->numa_auto_assign_ram(mc, numa_info, nb_numa_nodes, ram_size);
 410        }
 411
 412        numa_total = 0;
 413        for (i = 0; i < nb_numa_nodes; i++) {
 414            numa_total += numa_info[i].node_mem;
 415        }
 416        if (numa_total != ram_size) {
 417            error_report("total memory for NUMA nodes (0x%" PRIx64 ")"
 418                         " should equal RAM size (0x" RAM_ADDR_FMT ")",
 419                         numa_total, ram_size);
 420            exit(1);
 421        }
 422
 423        /* QEMU needs at least all unique node pair distances to build
 424         * the whole NUMA distance table. QEMU treats the distance table
 425         * as symmetric by default, i.e. distance A->B == distance B->A.
 426         * Thus, QEMU is able to complete the distance table
 427         * initialization even though only distance A->B is provided and
 428         * distance B->A is not. QEMU knows the distance of a node to
 429         * itself is always 10, so A->A distances may be omitted. When
 430         * the distances of two nodes of a pair differ, i.e. distance
 431         * A->B != distance B->A, then that means the distance table is
 432         * asymmetric. In this case, the distances for both directions
 433         * of all node pairs are required.
 434         */
 435        if (have_numa_distance) {
 436            /* Validate enough NUMA distance information was provided. */
 437            validate_numa_distance();
 438
 439            /* Validation succeeded, now fill in any missing distances. */
 440            complete_init_numa_distance();
 441        }
 442    }
 443}
 444
 445void parse_numa_opts(MachineState *ms)
 446{
 447    qemu_opts_foreach(qemu_find_opts("numa"), parse_numa, ms, &error_fatal);
 448}
 449
 450void qmp_set_numa_node(NumaOptions *cmd, Error **errp)
 451{
 452    if (!runstate_check(RUN_STATE_PRECONFIG)) {
 453        error_setg(errp, "The command is permitted only in '%s' state",
 454                   RunState_str(RUN_STATE_PRECONFIG));
 455         return;
 456    }
 457
 458    set_numa_options(MACHINE(qdev_get_machine()), cmd, errp);
 459}
 460
 461void numa_cpu_pre_plug(const CPUArchId *slot, DeviceState *dev, Error **errp)
 462{
 463    int node_id = object_property_get_int(OBJECT(dev), "node-id", &error_abort);
 464
 465    if (node_id == CPU_UNSET_NUMA_NODE_ID) {
 466        /* due to bug in libvirt, it doesn't pass node-id from props on
 467         * device_add as expected, so we have to fix it up here */
 468        if (slot->props.has_node_id) {
 469            object_property_set_int(OBJECT(dev), slot->props.node_id,
 470                                    "node-id", errp);
 471        }
 472    } else if (node_id != slot->props.node_id) {
 473        error_setg(errp, "node-id=%d must match numa node specified "
 474                   "with -numa option", node_id);
 475    }
 476}
 477
 478static void allocate_system_memory_nonnuma(MemoryRegion *mr, Object *owner,
 479                                           const char *name,
 480                                           uint64_t ram_size)
 481{
 482    if (mem_path) {
 483#ifdef __linux__
 484        Error *err = NULL;
 485        memory_region_init_ram_from_file(mr, owner, name, ram_size, 0, 0,
 486                                         mem_path, &err);
 487        if (err) {
 488            error_report_err(err);
 489            if (mem_prealloc) {
 490                exit(1);
 491            }
 492            error_report("falling back to regular RAM allocation.");
 493
 494            /* Legacy behavior: if allocation failed, fall back to
 495             * regular RAM allocation.
 496             */
 497            mem_path = NULL;
 498            memory_region_init_ram_nomigrate(mr, owner, name, ram_size, &error_fatal);
 499        }
 500#else
 501        fprintf(stderr, "-mem-path not supported on this host\n");
 502        exit(1);
 503#endif
 504    } else {
 505        memory_region_init_ram_nomigrate(mr, owner, name, ram_size, &error_fatal);
 506    }
 507    vmstate_register_ram_global(mr);
 508}
 509
 510void memory_region_allocate_system_memory(MemoryRegion *mr, Object *owner,
 511                                          const char *name,
 512                                          uint64_t ram_size)
 513{
 514    uint64_t addr = 0;
 515    int i;
 516
 517    if (nb_numa_nodes == 0 || !have_memdevs) {
 518        allocate_system_memory_nonnuma(mr, owner, name, ram_size);
 519        return;
 520    }
 521
 522    memory_region_init(mr, owner, name, ram_size);
 523    for (i = 0; i < nb_numa_nodes; i++) {
 524        uint64_t size = numa_info[i].node_mem;
 525        HostMemoryBackend *backend = numa_info[i].node_memdev;
 526        if (!backend) {
 527            continue;
 528        }
 529        MemoryRegion *seg = host_memory_backend_get_memory(backend);
 530
 531        if (memory_region_is_mapped(seg)) {
 532            char *path = object_get_canonical_path_component(OBJECT(backend));
 533            error_report("memory backend %s is used multiple times. Each "
 534                         "-numa option must use a different memdev value.",
 535                         path);
 536            exit(1);
 537        }
 538
 539        host_memory_backend_set_mapped(backend, true);
 540        memory_region_add_subregion(mr, addr, seg);
 541        vmstate_register_ram_global(seg);
 542        addr += size;
 543    }
 544}
 545
 546static void numa_stat_memory_devices(NumaNodeMem node_mem[])
 547{
 548    MemoryDeviceInfoList *info_list = qmp_memory_device_list();
 549    MemoryDeviceInfoList *info;
 550    PCDIMMDeviceInfo     *pcdimm_info;
 551
 552    for (info = info_list; info; info = info->next) {
 553        MemoryDeviceInfo *value = info->value;
 554
 555        if (value) {
 556            switch (value->type) {
 557            case MEMORY_DEVICE_INFO_KIND_DIMM:
 558                pcdimm_info = value->u.dimm.data;
 559                break;
 560
 561            case MEMORY_DEVICE_INFO_KIND_NVDIMM:
 562                pcdimm_info = value->u.nvdimm.data;
 563                break;
 564
 565            default:
 566                pcdimm_info = NULL;
 567                break;
 568            }
 569
 570            if (pcdimm_info) {
 571                node_mem[pcdimm_info->node].node_mem += pcdimm_info->size;
 572                node_mem[pcdimm_info->node].node_plugged_mem +=
 573                    pcdimm_info->size;
 574            }
 575        }
 576    }
 577    qapi_free_MemoryDeviceInfoList(info_list);
 578}
 579
 580void query_numa_node_mem(NumaNodeMem node_mem[])
 581{
 582    int i;
 583
 584    if (nb_numa_nodes <= 0) {
 585        return;
 586    }
 587
 588    numa_stat_memory_devices(node_mem);
 589    for (i = 0; i < nb_numa_nodes; i++) {
 590        node_mem[i].node_mem += numa_info[i].node_mem;
 591    }
 592}
 593
 594static int query_memdev(Object *obj, void *opaque)
 595{
 596    MemdevList **list = opaque;
 597    MemdevList *m = NULL;
 598
 599    if (object_dynamic_cast(obj, TYPE_MEMORY_BACKEND)) {
 600        m = g_malloc0(sizeof(*m));
 601
 602        m->value = g_malloc0(sizeof(*m->value));
 603
 604        m->value->id = object_get_canonical_path_component(obj);
 605        m->value->has_id = !!m->value->id;
 606
 607        m->value->size = object_property_get_uint(obj, "size",
 608                                                  &error_abort);
 609        m->value->merge = object_property_get_bool(obj, "merge",
 610                                                   &error_abort);
 611        m->value->dump = object_property_get_bool(obj, "dump",
 612                                                  &error_abort);
 613        m->value->prealloc = object_property_get_bool(obj,
 614                                                      "prealloc",
 615                                                      &error_abort);
 616        m->value->policy = object_property_get_enum(obj,
 617                                                    "policy",
 618                                                    "HostMemPolicy",
 619                                                    &error_abort);
 620        object_property_get_uint16List(obj, "host-nodes",
 621                                       &m->value->host_nodes,
 622                                       &error_abort);
 623
 624        m->next = *list;
 625        *list = m;
 626    }
 627
 628    return 0;
 629}
 630
 631MemdevList *qmp_query_memdev(Error **errp)
 632{
 633    Object *obj = object_get_objects_root();
 634    MemdevList *list = NULL;
 635
 636    object_child_foreach(obj, query_memdev, &list);
 637    return list;
 638}
 639
 640void ram_block_notifier_add(RAMBlockNotifier *n)
 641{
 642    QLIST_INSERT_HEAD(&ram_list.ramblock_notifiers, n, next);
 643}
 644
 645void ram_block_notifier_remove(RAMBlockNotifier *n)
 646{
 647    QLIST_REMOVE(n, next);
 648}
 649
 650void ram_block_notify_add(void *host, size_t size)
 651{
 652    RAMBlockNotifier *notifier;
 653
 654    QLIST_FOREACH(notifier, &ram_list.ramblock_notifiers, next) {
 655        notifier->ram_block_added(notifier, host, size);
 656    }
 657}
 658
 659void ram_block_notify_remove(void *host, size_t size)
 660{
 661    RAMBlockNotifier *notifier;
 662
 663    QLIST_FOREACH(notifier, &ram_list.ramblock_notifiers, next) {
 664        notifier->ram_block_removed(notifier, host, size);
 665    }
 666}
 667