/*P:700
 * The pagetable code, on the other hand, still shows the scars of
 * previous encounters.  It's functional, and as neat as it can be in the
 * circumstances, but be wary, for these things are subtle and break easily.
 * The Guest provides a virtual to physical mapping, but we can neither trust
 * it nor use it: we verify and convert it here then point the CPU to the
 * converted Guest pages when running the Guest.
:*/

/* Copyright (C) Rusty Russell IBM Corporation 2013.
 * GPL v2 and any later version */
#include <linux/mm.h>
#include <linux/gfp.h>
#include <linux/types.h>
#include <linux/spinlock.h>
#include <linux/random.h>
#include <linux/percpu.h>
#include <asm/tlbflush.h>
#include <asm/uaccess.h>
#include "lg.h"

/*M:008
 * We hold reference to pages, which prevents them from being swapped.
 * It'd be nice to have a callback in the "struct mm_struct" when Linux wants
 * to swap out.  If we had this, and a shrinker callback to trim PTE pages, we
 * could probably consider launching Guests as non-root.
:*/

/*H:300
 * The Page Table Code
 *
 * We use two-level page tables for the Guest, or three-level with PAE.  If
 * you're not entirely comfortable with virtual addresses, physical addresses
 * and page tables then I recommend you review arch/x86/lguest/boot.c's "Page
 * Table Handling" (with diagrams!).
 *
 * The Guest keeps page tables, but we maintain the actual ones here: these are
 * called "shadow" page tables.  Which is a very Guest-centric name: these are
 * the real page tables the CPU uses, although we keep them up to date to
 * reflect the Guest's.  (See what I mean about weird naming?  Since when do
 * shadows reflect anything?)
 *
 * Anyway, this is the most complicated part of the Host code.  There are seven
 * parts to this:
 *  (i) Looking up a page table entry when the Guest faults,
 *  (ii) Making sure the Guest stack is mapped,
 *  (iii) Setting up a page table entry when the Guest tells us one has changed,
 *  (iv) Switching page tables,
 *  (v) Flushing (throwing away) page tables,
 *  (vi) Mapping the Switcher when the Guest is about to run,
 *  (vii) Setting up the page tables initially.
:*/

/*
 * The Switcher uses the complete top PTE page.  That's 1024 PTE entries (4MB)
 * or 512 PTE entries with PAE (2MB).
 */
#define SWITCHER_PGD_INDEX (PTRS_PER_PGD - 1)

/*
 * For PAE we need the PMD index as well. We use the last 2MB, so we
 * will need the last pmd entry of the last pmd page.
 */
#ifdef CONFIG_X86_PAE
#define CHECK_GPGD_MASK         _PAGE_PRESENT
#else
#define CHECK_GPGD_MASK         _PAGE_TABLE
#endif

/*H:320
 * The page table code is curly enough to need helper functions to keep it
 * clear and clean.  The kernel itself provides many of them; one advantage
 * of insisting that the Guest and Host use the same CONFIG_X86_PAE setting.
 *
 * There are two functions which return pointers to the shadow (aka "real")
 * page tables.
 *
 * spgd_addr() takes the virtual address and returns a pointer to the top-level
 * page directory entry (PGD) for that address.  Since we keep track of several
 * page tables, the "i" argument tells us which one we're interested in (it's
 * usually the current one).
 */
static pgd_t *spgd_addr(struct lg_cpu *cpu, u32 i, unsigned long vaddr)
{
        unsigned int index = pgd_index(vaddr);

        /* Return a pointer index'th pgd entry for the i'th page table. */
        return &cpu->lg->pgdirs[i].pgdir[index];
}

#ifdef CONFIG_X86_PAE
/*
 * This routine then takes the PGD entry given above, which contains the
 * address of the PMD page.  It then returns a pointer to the PMD entry for the
 * given address.
 */
static pmd_t *spmd_addr(struct lg_cpu *cpu, pgd_t spgd, unsigned long vaddr)
{
        unsigned int index = pmd_index(vaddr);
        pmd_t *page;

        /* You should never call this if the PGD entry wasn't valid */
        BUG_ON(!(pgd_flags(spgd) & _PAGE_PRESENT));
        page = __va(pgd_pfn(spgd) << PAGE_SHIFT);

        return &page[index];
}
#endif

/*
 * This routine then takes the page directory entry returned above, which
 * contains the address of the page table entry (PTE) page.  It then returns a
 * pointer to the PTE entry for the given address.
 */
static pte_t *spte_addr(struct lg_cpu *cpu, pgd_t spgd, unsigned long vaddr)
{
#ifdef CONFIG_X86_PAE
        pmd_t *pmd = spmd_addr(cpu, spgd, vaddr);
        pte_t *page = __va(pmd_pfn(*pmd) << PAGE_SHIFT);

        /* You should never call this if the PMD entry wasn't valid */
        BUG_ON(!(pmd_flags(*pmd) & _PAGE_PRESENT));
#else
        pte_t *page = __va(pgd_pfn(spgd) << PAGE_SHIFT);
        /* You should never call this if the PGD entry wasn't valid */
        BUG_ON(!(pgd_flags(spgd) & _PAGE_PRESENT));
#endif

        return &page[pte_index(vaddr)];
}

/*
 * These functions are just like the above, except they access the Guest
 * page tables.  Hence they return a Guest address.
 */
static unsigned long gpgd_addr(struct lg_cpu *cpu, unsigned long vaddr)
{
        unsigned int index = vaddr >> (PGDIR_SHIFT);
        return cpu->lg->pgdirs[cpu->cpu_pgd].gpgdir + index * sizeof(pgd_t);
}

#ifdef CONFIG_X86_PAE
/* Follow the PGD to the PMD. */
static unsigned long gpmd_addr(pgd_t gpgd, unsigned long vaddr)
{
        unsigned long gpage = pgd_pfn(gpgd) << PAGE_SHIFT;
        BUG_ON(!(pgd_flags(gpgd) & _PAGE_PRESENT));
        return gpage + pmd_index(vaddr) * sizeof(pmd_t);
}

/* Follow the PMD to the PTE. */
static unsigned long gpte_addr(struct lg_cpu *cpu,
                               pmd_t gpmd, unsigned long vaddr)
{
        unsigned long gpage = pmd_pfn(gpmd) << PAGE_SHIFT;

        BUG_ON(!(pmd_flags(gpmd) & _PAGE_PRESENT));
        return gpage + pte_index(vaddr) * sizeof(pte_t);
}
#else
/* Follow the PGD to the PTE (no mid-level for !PAE). */
static unsigned long gpte_addr(struct lg_cpu *cpu,
                                pgd_t gpgd, unsigned long vaddr)
{
        unsigned long gpage = pgd_pfn(gpgd) << PAGE_SHIFT;

        BUG_ON(!(pgd_flags(gpgd) & _PAGE_PRESENT));
        return gpage + pte_index(vaddr) * sizeof(pte_t);
}
#endif
/*:*/

/*M:007
 * get_pfn is slow: we could probably try to grab batches of pages here as
 * an optimization (ie. pre-faulting).
:*/

/*H:350
 * This routine takes a page number given by the Guest and converts it to
 * an actual, physical page number.  It can fail for several reasons: the
 * virtual address might not be mapped by the Launcher, the write flag is set
 * and the page is read-only, or the write flag was set and the page was
 * shared so had to be copied, but we ran out of memory.
 *
 * This holds a reference to the page, so release_pte() is careful to put that
 * back.
 */
static unsigned long get_pfn(unsigned long virtpfn, int write)
{
        struct page *page;

        /* gup me one page at this address please! */
        if (get_user_pages_fast(virtpfn << PAGE_SHIFT, 1, write, &page) == 1)
                return page_to_pfn(page);

        /* This value indicates failure. */
        return -1UL;
}

/*H:340
 * Converting a Guest page table entry to a shadow (ie. real) page table
 * entry can be a little tricky.  The flags are (almost) the same, but the
 * Guest PTE contains a virtual page number: the CPU needs the real page
 * number.
 */
static pte_t gpte_to_spte(struct lg_cpu *cpu, pte_t gpte, int write)
{
        unsigned long pfn, base, flags;

        /*
         * The Guest sets the global flag, because it thinks that it is using
         * PGE.  We only told it to use PGE so it would tell us whether it was
         * flushing a kernel mapping or a userspace mapping.  We don't actually
         * use the global bit, so throw it away.
         */
        flags = (pte_flags(gpte) & ~_PAGE_GLOBAL);

        /* The Guest's pages are offset inside the Launcher. */
        base = (unsigned long)cpu->lg->mem_base / PAGE_SIZE;

        /*
         * We need a temporary "unsigned long" variable to hold the answer from
         * get_pfn(), because it returns 0xFFFFFFFF on failure, which wouldn't
         * fit in spte.pfn.  get_pfn() finds the real physical number of the
         * page, given the virtual number.
         */
        pfn = get_pfn(base + pte_pfn(gpte), write);
        if (pfn == -1UL) {
                kill_guest(cpu, "failed to get page %lu", pte_pfn(gpte));
                /*
                 * When we destroy the Guest, we'll go through the shadow page
                 * tables and release_pte() them.  Make sure we don't think
                 * this one is valid!
                 */
                flags = 0;
        }
        /* Now we assemble our shadow PTE from the page number and flags. */
        return pfn_pte(pfn, __pgprot(flags));
}

/*H:460 And to complete the chain, release_pte() looks like this: */
static void release_pte(pte_t pte)
{
        /*
         * Remember that get_user_pages_fast() took a reference to the page, in
         * get_pfn()?  We have to put it back now.
         */
        if (pte_flags(pte) & _PAGE_PRESENT)
                put_page(pte_page(pte));
}
/*:*/

static bool check_gpte(struct lg_cpu *cpu, pte_t gpte)
{
        if ((pte_flags(gpte) & _PAGE_PSE) ||
            pte_pfn(gpte) >= cpu->lg->pfn_limit) {
                kill_guest(cpu, "bad page table entry");
                return false;
        }
        return true;
}

static bool check_gpgd(struct lg_cpu *cpu, pgd_t gpgd)
{
        if ((pgd_flags(gpgd) & ~CHECK_GPGD_MASK) ||
            (pgd_pfn(gpgd) >= cpu->lg->pfn_limit)) {
                kill_guest(cpu, "bad page directory entry");
                return false;
        }
        return true;
}

#ifdef CONFIG_X86_PAE
static bool check_gpmd(struct lg_cpu *cpu, pmd_t gpmd)
{
        if ((pmd_flags(gpmd) & ~_PAGE_TABLE) ||
            (pmd_pfn(gpmd) >= cpu->lg->pfn_limit)) {
                kill_guest(cpu, "bad page middle directory entry");
                return false;
        }
        return true;
}
#endif

/*H:331
 * This is the core routine to walk the shadow page tables and find the page
 * table entry for a specific address.
 *
 * If allocate is set, then we allocate any missing levels, setting the flags
 * on the new page directory and mid-level directories using the arguments
 * (which are copied from the Guest's page table entries).
 */
static pte_t *find_spte(struct lg_cpu *cpu, unsigned long vaddr, bool allocate,
                        int pgd_flags, int pmd_flags)
{
        pgd_t *spgd;
        /* Mid level for PAE. */
#ifdef CONFIG_X86_PAE
        pmd_t *spmd;
#endif

        /* Get top level entry. */
        spgd = spgd_addr(cpu, cpu->cpu_pgd, vaddr);
        if (!(pgd_flags(*spgd) & _PAGE_PRESENT)) {
                /* No shadow entry: allocate a new shadow PTE page. */
                unsigned long ptepage;

                /* If they didn't want us to allocate anything, stop. */
                if (!allocate)
                        return NULL;

                ptepage = get_zeroed_page(GFP_KERNEL);
                /*
                 * This is not really the Guest's fault, but killing it is
                 * simple for this corner case.
                 */
                if (!ptepage) {
                        kill_guest(cpu, "out of memory allocating pte page");
                        return NULL;
                }
                /*
                 * And we copy the flags to the shadow PGD entry.  The page
                 * number in the shadow PGD is the page we just allocated.
                 */
                set_pgd(spgd, __pgd(__pa(ptepage) | pgd_flags));
        }

        /*
         * Intel's Physical Address Extension actually uses three levels of
         * page tables, so we need to look in the mid-level.
         */
#ifdef CONFIG_X86_PAE
        /* Now look at the mid-level shadow entry. */
        spmd = spmd_addr(cpu, *spgd, vaddr);

        if (!(pmd_flags(*spmd) & _PAGE_PRESENT)) {
                /* No shadow entry: allocate a new shadow PTE page. */
                unsigned long ptepage;

                /* If they didn't want us to allocate anything, stop. */
                if (!allocate)
                        return NULL;

                ptepage = get_zeroed_page(GFP_KERNEL);

                /*
                 * This is not really the Guest's fault, but killing it is
                 * simple for this corner case.
                 */
                if (!ptepage) {
                        kill_guest(cpu, "out of memory allocating pmd page");
                        return NULL;
                }

                /*
                 * And we copy the flags to the shadow PMD entry.  The page
                 * number in the shadow PMD is the page we just allocated.
                 */
                set_pmd(spmd, __pmd(__pa(ptepage) | pmd_flags));
        }
#endif

        /* Get the pointer to the shadow PTE entry we're going to set. */
        return spte_addr(cpu, *spgd, vaddr);
}

/*H:330
 * (i) Looking up a page table entry when the Guest faults.
 *
 * We saw this call in run_guest(): when we see a page fault in the Guest, we
 * come here.  That's because we only set up the shadow page tables lazily as
 * they're needed, so we get page faults all the time and quietly fix them up
 * and return to the Guest without it knowing.
 *
 * If we fixed up the fault (ie. we mapped the address), this routine returns
 * true.  Otherwise, it was a real fault and we need to tell the Guest.
 */
bool demand_page(struct lg_cpu *cpu, unsigned long vaddr, int errcode)
{
        unsigned long gpte_ptr;
        pte_t gpte;
        pte_t *spte;
        pmd_t gpmd;
        pgd_t gpgd;

        /* We never demand page the Switcher, so trying is a mistake. */
        if (vaddr >= switcher_addr)
                return false;

        /* First step: get the top-level Guest page table entry. */
        if (unlikely(cpu->linear_pages)) {
                /* Faking up a linear mapping. */
                gpgd = __pgd(CHECK_GPGD_MASK);
        } else {
                gpgd = lgread(cpu, gpgd_addr(cpu, vaddr), pgd_t);
                /* Toplevel not present?  We can't map it in. */
                if (!(pgd_flags(gpgd) & _PAGE_PRESENT))
                        return false;

                /* 
                 * This kills the Guest if it has weird flags or tries to
                 * refer to a "physical" address outside the bounds.
                 */
                if (!check_gpgd(cpu, gpgd))
                        return false;
        }

        /* This "mid-level" entry is only used for non-linear, PAE mode. */
        gpmd = __pmd(_PAGE_TABLE);

#ifdef CONFIG_X86_PAE
        if (likely(!cpu->linear_pages)) {
                gpmd = lgread(cpu, gpmd_addr(gpgd, vaddr), pmd_t);
                /* Middle level not present?  We can't map it in. */
                if (!(pmd_flags(gpmd) & _PAGE_PRESENT))
                        return false;

                /* 
                 * This kills the Guest if it has weird flags or tries to
                 * refer to a "physical" address outside the bounds.
                 */
                if (!check_gpmd(cpu, gpmd))
                        return false;
        }

        /*
         * OK, now we look at the lower level in the Guest page table: keep its
         * address, because we might update it later.
         */
        gpte_ptr = gpte_addr(cpu, gpmd, vaddr);
#else
        /*
         * OK, now we look at the lower level in the Guest page table: keep its
         * address, because we might update it later.
         */
        gpte_ptr = gpte_addr(cpu, gpgd, vaddr);
#endif

        if (unlikely(cpu->linear_pages)) {
                /* Linear?  Make up a PTE which points to same page. */
                gpte = __pte((vaddr & PAGE_MASK) | _PAGE_RW | _PAGE_PRESENT);
        } else {
                /* Read the actual PTE value. */
                gpte = lgread(cpu, gpte_ptr, pte_t);
        }

        /* If this page isn't in the Guest page tables, we can't page it in. */
        if (!(pte_flags(gpte) & _PAGE_PRESENT))
                return false;

        /*
         * Check they're not trying to write to a page the Guest wants
         * read-only (bit 2 of errcode == write).
         */
        if ((errcode & 2) && !(pte_flags(gpte) & _PAGE_RW))
                return false;

        /* User access to a kernel-only page? (bit 3 == user access) */
        if ((errcode & 4) && !(pte_flags(gpte) & _PAGE_USER))
                return false;

        /*
         * Check that the Guest PTE flags are OK, and the page number is below
         * the pfn_limit (ie. not mapping the Launcher binary).
         */
        if (!check_gpte(cpu, gpte))
                return false;

        /* Add the _PAGE_ACCESSED and (for a write) _PAGE_DIRTY flag */
        gpte = pte_mkyoung(gpte);
        if (errcode & 2)
                gpte = pte_mkdirty(gpte);

        /* Get the pointer to the shadow PTE entry we're going to set. */
        spte = find_spte(cpu, vaddr, true, pgd_flags(gpgd), pmd_flags(gpmd));
        if (!spte)
                return false;

        /*
         * If there was a valid shadow PTE entry here before, we release it.
         * This can happen with a write to a previously read-only entry.
         */
        release_pte(*spte);

        /*
         * If this is a write, we insist that the Guest page is writable (the
         * final arg to gpte_to_spte()).
         */
        if (pte_dirty(gpte))
                *spte = gpte_to_spte(cpu, gpte, 1);
        else
                /*
                 * If this is a read, don't set the "writable" bit in the page
                 * table entry, even if the Guest says it's writable.  That way
                 * we will come back here when a write does actually occur, so
                 * we can update the Guest's _PAGE_DIRTY flag.
                 */
                set_pte(spte, gpte_to_spte(cpu, pte_wrprotect(gpte), 0));

        /*
         * Finally, we write the Guest PTE entry back: we've set the
         * _PAGE_ACCESSED and maybe the _PAGE_DIRTY flags.
         */
        if (likely(!cpu->linear_pages))
                lgwrite(cpu, gpte_ptr, pte_t, gpte);

        /*
         * The fault is fixed, the page table is populated, the mapping
         * manipulated, the result returned and the code complete.  A small
         * delay and a trace of alliteration are the only indications the Guest
         * has that a page fault occurred at all.
         */
        return true;
}

/*H:360
 * (ii) Making sure the Guest stack is mapped.
 *
 * Remember that direct traps into the Guest need a mapped Guest kernel stack.
 * pin_stack_pages() calls us here: we could simply call demand_page(), but as
 * we've seen that logic is quite long, and usually the stack pages are already
 * mapped, so it's overkill.
 *
 * This is a quick version which answers the question: is this virtual address
 * mapped by the shadow page tables, and is it writable?
 */
static bool page_writable(struct lg_cpu *cpu, unsigned long vaddr)
{
        pte_t *spte;
        unsigned long flags;

        /* You can't put your stack in the Switcher! */
        if (vaddr >= switcher_addr)
                return false;

        /* If there's no shadow PTE, it's not writable. */
        spte = find_spte(cpu, vaddr, false, 0, 0);
        if (!spte)
                return false;

        /*
         * Check the flags on the pte entry itself: it must be present and
         * writable.
         */
        flags = pte_flags(*spte);
        return (flags & (_PAGE_PRESENT|_PAGE_RW)) == (_PAGE_PRESENT|_PAGE_RW);
}

/*
 * So, when pin_stack_pages() asks us to pin a page, we check if it's already
 * in the page tables, and if not, we call demand_page() with error code 2
 * (meaning "write").
 */
void pin_page(struct lg_cpu *cpu, unsigned long vaddr)
{
        if (!page_writable(cpu, vaddr) && !demand_page(cpu, vaddr, 2))
                kill_guest(cpu, "bad stack page %#lx", vaddr);
}
/*:*/

#ifdef CONFIG_X86_PAE
static void release_pmd(pmd_t *spmd)
{
        /* If the entry's not present, there's nothing to release. */
        if (pmd_flags(*spmd) & _PAGE_PRESENT) {
                unsigned int i;
                pte_t *ptepage = __va(pmd_pfn(*spmd) << PAGE_SHIFT);
                /* For each entry in the page, we might need to release it. */
                for (i = 0; i < PTRS_PER_PTE; i++)
                        release_pte(ptepage[i]);
                /* Now we can free the page of PTEs */
                free_page((long)ptepage);
                /* And zero out the PMD entry so we never release it twice. */
                set_pmd(spmd, __pmd(0));
        }
}

static void release_pgd(pgd_t *spgd)
{
        /* If the entry's not present, there's nothing to release. */
        if (pgd_flags(*spgd) & _PAGE_PRESENT) {
                unsigned int i;
                pmd_t *pmdpage = __va(pgd_pfn(*spgd) << PAGE_SHIFT);

                for (i = 0; i < PTRS_PER_PMD; i++)
                        release_pmd(&pmdpage[i]);

                /* Now we can free the page of PMDs */
                free_page((long)pmdpage);
                /* And zero out the PGD entry so we never release it twice. */
                set_pgd(spgd, __pgd(0));
        }
}

#else /* !CONFIG_X86_PAE */
/*H:450
 * If we chase down the release_pgd() code, the non-PAE version looks like
 * this.  The PAE version is almost identical, but instead of calling
 * release_pte it calls release_pmd(), which looks much like this.
 */
static void release_pgd(pgd_t *spgd)
{
        /* If the entry's not present, there's nothing to release. */
        if (pgd_flags(*spgd) & _PAGE_PRESENT) {
                unsigned int i;
                /*
                 * Converting the pfn to find the actual PTE page is easy: turn
                 * the page number into a physical address, then convert to a
                 * virtual address (easy for kernel pages like this one).
                 */
                pte_t *ptepage = __va(pgd_pfn(*spgd) << PAGE_SHIFT);
                /* For each entry in the page, we might need to release it. */
                for (i = 0; i < PTRS_PER_PTE; i++)
                        release_pte(ptepage[i]);
                /* Now we can free the page of PTEs */
                free_page((long)ptepage);
                /* And zero out the PGD entry so we never release it twice. */
                *spgd = __pgd(0);
        }
}
#endif

/*H:445
 * We saw flush_user_mappings() twice: once from the flush_user_mappings()
 * hypercall and once in new_pgdir() when we re-used a top-level pgdir page.
 * It simply releases every PTE page from 0 up to the Guest's kernel address.
 */
static void flush_user_mappings(struct lguest *lg, int idx)
{
        unsigned int i;
        /* Release every pgd entry up to the kernel's address. */
        for (i = 0; i < pgd_index(lg->kernel_address); i++)
                release_pgd(lg->pgdirs[idx].pgdir + i);
}

/*H:440
 * (v) Flushing (throwing away) page tables,
 *
 * The Guest has a hypercall to throw away the page tables: it's used when a
 * large number of mappings have been changed.
 */
void guest_pagetable_flush_user(struct lg_cpu *cpu)
{
        /* Drop the userspace part of the current page table. */
        flush_user_mappings(cpu->lg, cpu->cpu_pgd);
}
/*:*/

/* We walk down the guest page tables to get a guest-physical address */
unsigned long guest_pa(struct lg_cpu *cpu, unsigned long vaddr)
{
        pgd_t gpgd;
        pte_t gpte;
#ifdef CONFIG_X86_PAE
        pmd_t gpmd;
#endif

        /* Still not set up?  Just map 1:1. */
        if (unlikely(cpu->linear_pages))
                return vaddr;

        /* First step: get the top-level Guest page table entry. */
        gpgd = lgread(cpu, gpgd_addr(cpu, vaddr), pgd_t);
        /* Toplevel not present?  We can't map it in. */
        if (!(pgd_flags(gpgd) & _PAGE_PRESENT)) {
                kill_guest(cpu, "Bad address %#lx", vaddr);
                return -1UL;
        }

#ifdef CONFIG_X86_PAE
        gpmd = lgread(cpu, gpmd_addr(gpgd, vaddr), pmd_t);
        if (!(pmd_flags(gpmd) & _PAGE_PRESENT)) {
                kill_guest(cpu, "Bad address %#lx", vaddr);
                return -1UL;
        }
        gpte = lgread(cpu, gpte_addr(cpu, gpmd, vaddr), pte_t);
#else
        gpte = lgread(cpu, gpte_addr(cpu, gpgd, vaddr), pte_t);
#endif
        if (!(pte_flags(gpte) & _PAGE_PRESENT))
                kill_guest(cpu, "Bad address %#lx", vaddr);

        return pte_pfn(gpte) * PAGE_SIZE | (vaddr & ~PAGE_MASK);
}

/*
 * We keep several page tables.  This is a simple routine to find the page
 * table (if any) corresponding to this top-level address the Guest has given
 * us.
 */
static unsigned int find_pgdir(struct lguest *lg, unsigned long pgtable)
{
        unsigned int i;
        for (i = 0; i < ARRAY_SIZE(lg->pgdirs); i++)
                if (lg->pgdirs[i].pgdir && lg->pgdirs[i].gpgdir == pgtable)
                        break;
        return i;
}

/*H:435
 * And this is us, creating the new page directory.  If we really do
 * allocate a new one (and so the kernel parts are not there), we set
 * blank_pgdir.
 */
static unsigned int new_pgdir(struct lg_cpu *cpu,
                              unsigned long gpgdir,
                              int *blank_pgdir)
{
        unsigned int next;

        /*
         * We pick one entry at random to throw out.  Choosing the Least
         * Recently Used might be better, but this is easy.
         */
        next = prandom_u32() % ARRAY_SIZE(cpu->lg->pgdirs);
        /* If it's never been allocated at all before, try now. */
        if (!cpu->lg->pgdirs[next].pgdir) {
                cpu->lg->pgdirs[next].pgdir =
                                        (pgd_t *)get_zeroed_page(GFP_KERNEL);
                /* If the allocation fails, just keep using the one we have */
                if (!cpu->lg->pgdirs[next].pgdir)
                        next = cpu->cpu_pgd;
                else {
                        /*
                         * This is a blank page, so there are no kernel
                         * mappings: caller must map the stack!
                         */
                        *blank_pgdir = 1;
                }
        }
        /* Record which Guest toplevel this shadows. */
        cpu->lg->pgdirs[next].gpgdir = gpgdir;
        /* Release all the non-kernel mappings. */
        flush_user_mappings(cpu->lg, next);

        /* This hasn't run on any CPU at all. */
        cpu->lg->pgdirs[next].last_host_cpu = -1;

        return next;
}

/*H:501
 * We do need the Switcher code mapped at all times, so we allocate that
 * part of the Guest page table here.  We map the Switcher code immediately,
 * but defer mapping of the guest register page and IDT/LDT etc page until
 * just before we run the guest in map_switcher_in_guest().
 *
 * We *could* do this setup in map_switcher_in_guest(), but at that point
 * we've interrupts disabled, and allocating pages like that is fraught: we
 * can't sleep if we need to free up some memory.
 */
static bool allocate_switcher_mapping(struct lg_cpu *cpu)
{
        int i;

        for (i = 0; i < TOTAL_SWITCHER_PAGES; i++) {
                pte_t *pte = find_spte(cpu, switcher_addr + i * PAGE_SIZE, true,
                                       CHECK_GPGD_MASK, _PAGE_TABLE);
                if (!pte)
                        return false;

                /*
                 * Map the switcher page if not already there.  It might
                 * already be there because we call allocate_switcher_mapping()
                 * in guest_set_pgd() just in case it did discard our Switcher
                 * mapping, but it probably didn't.
                 */
                if (i == 0 && !(pte_flags(*pte) & _PAGE_PRESENT)) {
                        /* Get a reference to the Switcher page. */
                        get_page(lg_switcher_pages[0]);
                        /* Create a read-only, exectuable, kernel-style PTE */
                        set_pte(pte,
                                mk_pte(lg_switcher_pages[0], PAGE_KERNEL_RX));
                }
        }
        cpu->lg->pgdirs[cpu->cpu_pgd].switcher_mapped = true;
        return true;
}

/*H:470
 * Finally, a routine which throws away everything: all PGD entries in all
 * the shadow page tables, including the Guest's kernel mappings.  This is used
 * when we destroy the Guest.
 */
static void release_all_pagetables(struct lguest *lg)
{
        unsigned int i, j;

        /* Every shadow pagetable this Guest has */
        for (i = 0; i < ARRAY_SIZE(lg->pgdirs); i++) {
                if (!lg->pgdirs[i].pgdir)
                        continue;

                /* Every PGD entry. */
                for (j = 0; j < PTRS_PER_PGD; j++)
                        release_pgd(lg->pgdirs[i].pgdir + j);
                lg->pgdirs[i].switcher_mapped = false;
                lg->pgdirs[i].last_host_cpu = -1;
        }
}

/*
 * We also throw away everything when a Guest tells us it's changed a kernel
 * mapping.  Since kernel mappings are in every page table, it's easiest to
 * throw them all away.  This traps the Guest in amber for a while as
 * everything faults back in, but it's rare.
 */
void guest_pagetable_clear_all(struct lg_cpu *cpu)
{
        release_all_pagetables(cpu->lg);
        /* We need the Guest kernel stack mapped again. */
        pin_stack_pages(cpu);
        /* And we need Switcher allocated. */
        if (!allocate_switcher_mapping(cpu))
                kill_guest(cpu, "Cannot populate switcher mapping");
}

/*H:430
 * (iv) Switching page tables
 *
 * Now we've seen all the page table setting and manipulation, let's see
 * what happens when the Guest changes page tables (ie. changes the top-level
 * pgdir).  This occurs on almost every context switch.
 */
void guest_new_pagetable(struct lg_cpu *cpu, unsigned long pgtable)
{
        int newpgdir, repin = 0;

        /*
         * The very first time they call this, we're actually running without
         * any page tables; we've been making it up.  Throw them away now.
         */
        if (unlikely(cpu->linear_pages)) {
                release_all_pagetables(cpu->lg);
                cpu->linear_pages = false;
                /* Force allocation of a new pgdir. */
                newpgdir = ARRAY_SIZE(cpu->lg->pgdirs);
        } else {
                /* Look to see if we have this one already. */
                newpgdir = find_pgdir(cpu->lg, pgtable);
        }

        /*
         * If not, we allocate or mug an existing one: if it's a fresh one,
         * repin gets set to 1.
         */
        if (newpgdir == ARRAY_SIZE(cpu->lg->pgdirs))
                newpgdir = new_pgdir(cpu, pgtable, &repin);
        /* Change the current pgd index to the new one. */
        cpu->cpu_pgd = newpgdir;
        /*
         * If it was completely blank, we map in the Guest kernel stack and
         * the Switcher.
         */
        if (repin)
                pin_stack_pages(cpu);

        if (!cpu->lg->pgdirs[cpu->cpu_pgd].switcher_mapped) {
                if (!allocate_switcher_mapping(cpu))
                        kill_guest(cpu, "Cannot populate switcher mapping");
        }
}
/*:*/

/*M:009
 * Since we throw away all mappings when a kernel mapping changes, our
 * performance sucks for guests using highmem.  In fact, a guest with
 * PAGE_OFFSET 0xc0000000 (the default) and more than about 700MB of RAM is
 * usually slower than a Guest with less memory.
 *
 * This, of course, cannot be fixed.  It would take some kind of... well, I
 * don't know, but the term "puissant code-fu" comes to mind.
:*/

/*H:420
 * This is the routine which actually sets the page table entry for then
 * "idx"'th shadow page table.
 *
 * Normally, we can just throw out the old entry and replace it with 0: if they
 * use it demand_page() will put the new entry in.  We need to do this anyway:
 * The Guest expects _PAGE_ACCESSED to be set on its PTE the first time a page
 * is read from, and _PAGE_DIRTY when it's written to.
 *
 * But Avi Kivity pointed out that most Operating Systems (Linux included) set
 * these bits on PTEs immediately anyway.  This is done to save the CPU from
 * having to update them, but it helps us the same way: if they set
 * _PAGE_ACCESSED then we can put a read-only PTE entry in immediately, and if
 * they set _PAGE_DIRTY then we can put a writable PTE entry in immediately.
 */
static void __guest_set_pte(struct lg_cpu *cpu, int idx,
                       unsigned long vaddr, pte_t gpte)
{
        /* Look up the matching shadow page directory entry. */
        pgd_t *spgd = spgd_addr(cpu, idx, vaddr);
#ifdef CONFIG_X86_PAE
        pmd_t *spmd;
#endif

        /* If the top level isn't present, there's no entry to update. */
        if (pgd_flags(*spgd) & _PAGE_PRESENT) {
#ifdef CONFIG_X86_PAE
                spmd = spmd_addr(cpu, *spgd, vaddr);
                if (pmd_flags(*spmd) & _PAGE_PRESENT) {
#endif
                        /* Otherwise, start by releasing the existing entry. */
                        pte_t *spte = spte_addr(cpu, *spgd, vaddr);
                        release_pte(*spte);

                        /*
                         * If they're setting this entry as dirty or accessed,
                         * we might as well put that entry they've given us in
                         * now.  This shaves 10% off a copy-on-write
                         * micro-benchmark.
                         */
                        if (pte_flags(gpte) & (_PAGE_DIRTY | _PAGE_ACCESSED)) {
                                if (!check_gpte(cpu, gpte))
                                        return;
                                set_pte(spte,
                                        gpte_to_spte(cpu, gpte,
                                                pte_flags(gpte) & _PAGE_DIRTY));
                        } else {
                                /*
                                 * Otherwise kill it and we can demand_page()
                                 * it in later.
                                 */
                                set_pte(spte, __pte(0));
                        }
#ifdef CONFIG_X86_PAE
                }
#endif
        }
}

/*H:410
 * Updating a PTE entry is a little trickier.
 *
 * We keep track of several different page tables (the Guest uses one for each
 * process, so it makes sense to cache at least a few).  Each of these have
 * identical kernel parts: ie. every mapping above PAGE_OFFSET is the same for
 * all processes.  So when the page table above that address changes, we update
 * all the page tables, not just the current one.  This is rare.
 *
 * The benefit is that when we have to track a new page table, we can keep all
 * the kernel mappings.  This speeds up context switch immensely.
 */
void guest_set_pte(struct lg_cpu *cpu,
                   unsigned long gpgdir, unsigned long vaddr, pte_t gpte)
{
        /* We don't let you remap the Switcher; we need it to get back! */
        if (vaddr >= switcher_addr) {
                kill_guest(cpu, "attempt to set pte into Switcher pages");
                return;
        }

        /*
         * Kernel mappings must be changed on all top levels.  Slow, but doesn't
         * happen often.
         */
        if (vaddr >= cpu->lg->kernel_address) {
                unsigned int i;
                for (i = 0; i < ARRAY_SIZE(cpu->lg->pgdirs); i++)
                        if (cpu->lg->pgdirs[i].pgdir)
                                __guest_set_pte(cpu, i, vaddr, gpte);
        } else {
                /* Is this page table one we have a shadow for? */
                int pgdir = find_pgdir(cpu->lg, gpgdir);
                if (pgdir != ARRAY_SIZE(cpu->lg->pgdirs))
                        /* If so, do the update. */
                        __guest_set_pte(cpu, pgdir, vaddr, gpte);
        }
}

/*H:400
 * (iii) Setting up a page table entry when the Guest tells us one has changed.
 *
 * Just like we did in interrupts_and_traps.c, it makes sense for us to deal
 * with the other side of page tables while we're here: what happens when the
 * Guest asks for a page table to be updated?
 *
 * We already saw that demand_page() will fill in the shadow page tables when
 * needed, so we can simply remove shadow page table entries whenever the Guest
 * tells us they've changed.  When the Guest tries to use the new entry it will
 * fault and demand_page() will fix it up.
 *
 * So with that in mind here's our code to update a (top-level) PGD entry:
 */
void guest_set_pgd(struct lguest *lg, unsigned long gpgdir, u32 idx)
{
        int pgdir;

        if (idx > PTRS_PER_PGD) {
                kill_guest(&lg->cpus[0], "Attempt to set pgd %u/%u",
                           idx, PTRS_PER_PGD);
                return;
        }

        /* If they're talking about a page table we have a shadow for... */
        pgdir = find_pgdir(lg, gpgdir);
        if (pgdir < ARRAY_SIZE(lg->pgdirs)) {
                /* ... throw it away. */

                release_pgd(lg->pgdirs[pgdir].pgdir + idx);
                /* That might have been the Switcher mapping, remap it. */
                if (!allocate_switcher_mapping(&lg->cpus[0])) {
                        kill_guest(&lg->cpus[0],
                                   "Cannot populate switcher mapping");
                }
                lg->pgdirs[pgdir].last_host_cpu = -1;
        }
}

#ifdef CONFIG_X86_PAE
/* For setting a mid-level, we just throw everything away.  It's easy. */
void guest_set_pmd(struct lguest *lg, unsigned long pmdp, u32 idx)
{
        guest_pagetable_clear_all(&lg->cpus[0]);
}
#endif

/*H:500
 * (vii) Setting up the page tables initially.
 *
 * When a Guest is first created, set initialize a shadow page table which
 * we will populate on future faults.  The Guest doesn't have any actual
 * pagetables yet, so we set linear_pages to tell demand_page() to fake it
 * for the moment.
 *
 * We do need the Switcher to be mapped at all times, so we allocate that
 * part of the Guest page table here.
 */
int init_guest_pagetable(struct lguest *lg)
{
        struct lg_cpu *cpu = &lg->cpus[0];
        int allocated = 0;

        /* lg (and lg->cpus[]) starts zeroed: this allocates a new pgdir */
        cpu->cpu_pgd = new_pgdir(cpu, 0, &allocated);
        if (!allocated)
                return -ENOMEM;

        /* We start with a linear mapping until the initialize. */
        cpu->linear_pages = true;

        /* Allocate the page tables for the Switcher. */
        if (!allocate_switcher_mapping(cpu)) {
                release_all_pagetables(lg);
                return -ENOMEM;
        }

        return 0;
}

/*H:508 When the Guest calls LHCALL_LGUEST_INIT we do more setup. */
void page_table_guest_data_init(struct lg_cpu *cpu)
{
        /*
         * We tell the Guest that it can't use the virtual addresses
         * used by the Switcher.  This trick is equivalent to 4GB -
         * switcher_addr.
         */
        u32 top = ~switcher_addr + 1;

        /* We get the kernel address: above this is all kernel memory. */
        if (get_user(cpu->lg->kernel_address,
                     &cpu->lg->lguest_data->kernel_address)
                /*
                 * We tell the Guest that it can't use the top virtual
                 * addresses (used by the Switcher).
                 */
            || put_user(top, &cpu->lg->lguest_data->reserve_mem)) {
                kill_guest(cpu, "bad guest page %p", cpu->lg->lguest_data);
                return;
        }

        /*
         * In flush_user_mappings() we loop from 0 to
         * "pgd_index(lg->kernel_address)".  This assumes it won't hit the
         * Switcher mappings, so check that now.
         */
        if (cpu->lg->kernel_address >= switcher_addr)
                kill_guest(cpu, "bad kernel address %#lx",
                                 cpu->lg->kernel_address);
}

/* When a Guest dies, our cleanup is fairly simple. */
void free_guest_pagetable(struct lguest *lg)
{
        unsigned int i;

        /* Throw away all page table pages. */
        release_all_pagetables(lg);
        /* Now free the top levels: free_page() can handle 0 just fine. */
        for (i = 0; i < ARRAY_SIZE(lg->pgdirs); i++)
                free_page((long)lg->pgdirs[i].pgdir);
}

/*H:481
 * This clears the Switcher mappings for cpu #i.
 */
static void remove_switcher_percpu_map(struct lg_cpu *cpu, unsigned int i)
{
        unsigned long base = switcher_addr + PAGE_SIZE + i * PAGE_SIZE*2;
        pte_t *pte;

        /* Clear the mappings for both pages. */
        pte = find_spte(cpu, base, false, 0, 0);
        release_pte(*pte);
        set_pte(pte, __pte(0));

        pte = find_spte(cpu, base + PAGE_SIZE, false, 0, 0);
        release_pte(*pte);
        set_pte(pte, __pte(0));
}

/*H:480
 * (vi) Mapping the Switcher when the Guest is about to run.
 *
 * The Switcher and the two pages for this CPU need to be visible in the Guest
 * (and not the pages for other CPUs).
 *
 * The pages for the pagetables have all been allocated before: we just need
 * to make sure the actual PTEs are up-to-date for the CPU we're about to run
 * on.
 */
void map_switcher_in_guest(struct lg_cpu *cpu, struct lguest_pages *pages)
{
        unsigned long base;
        struct page *percpu_switcher_page, *regs_page;
        pte_t *pte;
        struct pgdir *pgdir = &cpu->lg->pgdirs[cpu->cpu_pgd];

        /* Switcher page should always be mapped by now! */
        BUG_ON(!pgdir->switcher_mapped);

        /* 
         * Remember that we have two pages for each Host CPU, so we can run a
         * Guest on each CPU without them interfering.  We need to make sure
         * those pages are mapped correctly in the Guest, but since we usually
         * run on the same CPU, we cache that, and only update the mappings
         * when we move.
         */
        if (pgdir->last_host_cpu == raw_smp_processor_id())
                return;

        /* -1 means unknown so we remove everything. */
        if (pgdir->last_host_cpu == -1) {
                unsigned int i;
                for_each_possible_cpu(i)
                        remove_switcher_percpu_map(cpu, i);
        } else {
                /* We know exactly what CPU mapping to remove. */
                remove_switcher_percpu_map(cpu, pgdir->last_host_cpu);
        }

        /*
         * When we're running the Guest, we want the Guest's "regs" page to
         * appear where the first Switcher page for this CPU is.  This is an
         * optimization: when the Switcher saves the Guest registers, it saves
         * them into the first page of this CPU's "struct lguest_pages": if we
         * make sure the Guest's register page is already mapped there, we
         * don't have to copy them out again.
         */
        /* Find the shadow PTE for this regs page. */
        base = switcher_addr + PAGE_SIZE
                + raw_smp_processor_id() * sizeof(struct lguest_pages);
        pte = find_spte(cpu, base, false, 0, 0);
        regs_page = pfn_to_page(__pa(cpu->regs_page) >> PAGE_SHIFT);
        get_page(regs_page);
        set_pte(pte, mk_pte(regs_page, __pgprot(__PAGE_KERNEL & ~_PAGE_GLOBAL)));

        /*
         * We map the second page of the struct lguest_pages read-only in
         * the Guest: the IDT, GDT and other things it's not supposed to
         * change.
         */
        pte = find_spte(cpu, base + PAGE_SIZE, false, 0, 0);
        percpu_switcher_page
                = lg_switcher_pages[1 + raw_smp_processor_id()*2 + 1];
        get_page(percpu_switcher_page);
        set_pte(pte, mk_pte(percpu_switcher_page,
                            __pgprot(__PAGE_KERNEL_RO & ~_PAGE_GLOBAL)));

        pgdir->last_host_cpu = raw_smp_processor_id();
}

/*H:490
 * We've made it through the page table code.  Perhaps our tired brains are
 * still processing the details, or perhaps we're simply glad it's over.
 *
 * If nothing else, note that all this complexity in juggling shadow page tables
 * in sync with the Guest's page tables is for one reason: for most Guests this
 * page table dance determines how bad performance will be.  This is why Xen
 * uses exotic direct Guest pagetable manipulation, and why both Intel and AMD
 * have implemented shadow page table support directly into hardware.
 *
 * There is just one file remaining in the Host.
 */