State of a register doesn't matter if it wasn't read in reaching an exit;
 a write screens off all reads downstream of it from all explored_states
 upstream of it.
This allows us to prune many more branches; here are some processed insn
 counts for some Cilium programs:
Program                  before  after
bpf_lb_opt_-DLB_L3.o       6515   3361
bpf_lb_opt_-DLB_L4.o       8976   5176
bpf_lb_opt_-DUNKNOWN.o     2960   1137
bpf_lxc_opt_-DDROP_ALL.o  95412  48537
bpf_lxc_opt_-DUNKNOWN.o  141706  78718
bpf_netdev.o              24251  17995
bpf_overlay.o             10999   9385

The runtime is also improved; here are 'time' results in ms:
Program                  before  after
bpf_lb_opt_-DLB_L3.o         24      6
bpf_lb_opt_-DLB_L4.o         26     11
bpf_lb_opt_-DUNKNOWN.o       11      2
bpf_lxc_opt_-DDROP_ALL.o   1288    139
bpf_lxc_opt_-DUNKNOWN.o    1768    234
bpf_netdev.o                 62     31
bpf_overlay.o                15     13

Signed-off-by: Edward Cree <ec...@solarflare.com>
---
v3: cleaner code around marking caller-saved regs, again spotted by Daniel
 Borkmann.  Should have no functional effect.

v2: update liveness in LD_ABS|IND, as pointed out by Daniel Borkmann.  The
 numbers are mostly unchanged; bpf_lxc_opt_-DUNKNOWN.o dropped about 300
 insns and 20ms, while bpf_lxc_opt_-DDROP_ALL.o (despite not changing its
 #insns) also dropped 13ms.

 include/linux/bpf_verifier.h |  11 ++-
 kernel/bpf/verifier.c        | 189 +++++++++++++++++++++++++++++++++----------
 2 files changed, 156 insertions(+), 44 deletions(-)

diff --git a/include/linux/bpf_verifier.h b/include/linux/bpf_verifier.h
index c61c3033..91d07ef 100644
--- a/include/linux/bpf_verifier.h
+++ b/include/linux/bpf_verifier.h
@@ -21,6 +21,12 @@
  */
 #define BPF_MAX_VAR_SIZ        INT_MAX
 
+enum bpf_reg_liveness {
+       REG_LIVE_NONE = 0, /* reg hasn't been read or written this branch */
+       REG_LIVE_READ, /* reg was read, so we're sensitive to initial value */
+       REG_LIVE_WRITTEN, /* reg was written first, screening off later reads */
+};
+
 struct bpf_reg_state {
        enum bpf_reg_type type;
        union {
@@ -40,7 +46,7 @@ struct bpf_reg_state {
         * came from, when one is tested for != NULL.
         */
        u32 id;
-       /* These five fields must be last.  See states_equal() */
+       /* Ordering of fields matters.  See states_equal() */
        /* For scalar types (SCALAR_VALUE), this represents our knowledge of
         * the actual value.
         * For pointer types, this represents the variable part of the offset
@@ -57,6 +63,8 @@ struct bpf_reg_state {
        s64 smax_value; /* maximum possible (s64)value */
        u64 umin_value; /* minimum possible (u64)value */
        u64 umax_value; /* maximum possible (u64)value */
+       /* This field must be last, for states_equal() reasons. */
+       enum bpf_reg_liveness live;
 };
 
 enum bpf_stack_slot_type {
@@ -74,6 +82,7 @@ struct bpf_verifier_state {
        struct bpf_reg_state regs[MAX_BPF_REG];
        u8 stack_slot_type[MAX_BPF_STACK];
        struct bpf_reg_state spilled_regs[MAX_BPF_STACK / BPF_REG_SIZE];
+       struct bpf_verifier_state *parent;
 };
 
 /* linked list of verifier states used to prune search */
diff --git a/kernel/bpf/verifier.c b/kernel/bpf/verifier.c
index ecc590e..7dd96d0 100644
--- a/kernel/bpf/verifier.c
+++ b/kernel/bpf/verifier.c
@@ -629,8 +629,10 @@ static void init_reg_state(struct bpf_reg_state *regs)
 {
        int i;
 
-       for (i = 0; i < MAX_BPF_REG; i++)
+       for (i = 0; i < MAX_BPF_REG; i++) {
                mark_reg_not_init(regs, i);
+               regs[i].live = REG_LIVE_NONE;
+       }
 
        /* frame pointer */
        regs[BPF_REG_FP].type = PTR_TO_STACK;
@@ -647,9 +649,26 @@ enum reg_arg_type {
        DST_OP_NO_MARK  /* same as above, check only, don't mark */
 };
 
-static int check_reg_arg(struct bpf_reg_state *regs, u32 regno,
+static void mark_reg_read(const struct bpf_verifier_state *state, u32 regno)
+{
+       struct bpf_verifier_state *parent = state->parent;
+
+       while (parent) {
+               /* if read wasn't screened by an earlier write ... */
+               if (state->regs[regno].live & REG_LIVE_WRITTEN)
+                       break;
+               /* ... then we depend on parent's value */
+               parent->regs[regno].live |= REG_LIVE_READ;
+               state = parent;
+               parent = state->parent;
+       }
+}
+
+static int check_reg_arg(struct bpf_verifier_env *env, u32 regno,
                         enum reg_arg_type t)
 {
+       struct bpf_reg_state *regs = env->cur_state.regs;
+
        if (regno >= MAX_BPF_REG) {
                verbose("R%d is invalid\n", regno);
                return -EINVAL;
@@ -661,12 +680,14 @@ static int check_reg_arg(struct bpf_reg_state *regs, u32 
regno,
                        verbose("R%d !read_ok\n", regno);
                        return -EACCES;
                }
+               mark_reg_read(&env->cur_state, regno);
        } else {
                /* check whether register used as dest operand can be written 
to */
                if (regno == BPF_REG_FP) {
                        verbose("frame pointer is read only\n");
                        return -EACCES;
                }
+               regs[regno].live |= REG_LIVE_WRITTEN;
                if (t == DST_OP)
                        mark_reg_unknown(regs, regno);
        }
@@ -695,7 +716,7 @@ static bool is_spillable_regtype(enum bpf_reg_type type)
 static int check_stack_write(struct bpf_verifier_state *state, int off,
                             int size, int value_regno)
 {
-       int i;
+       int i, spi = (MAX_BPF_STACK + off) / BPF_REG_SIZE;
        /* caller checked that off % size == 0 and -MAX_BPF_STACK <= off < 0,
         * so it's aligned access and [off, off + size) are within stack limits
         */
@@ -710,15 +731,14 @@ static int check_stack_write(struct bpf_verifier_state 
*state, int off,
                }
 
                /* save register state */
-               state->spilled_regs[(MAX_BPF_STACK + off) / BPF_REG_SIZE] =
-                       state->regs[value_regno];
+               state->spilled_regs[spi] = state->regs[value_regno];
+               state->spilled_regs[spi].live |= REG_LIVE_WRITTEN;
 
                for (i = 0; i < BPF_REG_SIZE; i++)
                        state->stack_slot_type[MAX_BPF_STACK + off + i] = 
STACK_SPILL;
        } else {
                /* regular write of data into stack */
-               state->spilled_regs[(MAX_BPF_STACK + off) / BPF_REG_SIZE] =
-                       (struct bpf_reg_state) {};
+               state->spilled_regs[spi] = (struct bpf_reg_state) {};
 
                for (i = 0; i < size; i++)
                        state->stack_slot_type[MAX_BPF_STACK + off + i] = 
STACK_MISC;
@@ -726,11 +746,26 @@ static int check_stack_write(struct bpf_verifier_state 
*state, int off,
        return 0;
 }
 
+static void mark_stack_slot_read(const struct bpf_verifier_state *state, int 
slot)
+{
+       struct bpf_verifier_state *parent = state->parent;
+
+       while (parent) {
+               /* if read wasn't screened by an earlier write ... */
+               if (state->spilled_regs[slot].live & REG_LIVE_WRITTEN)
+                       break;
+               /* ... then we depend on parent's value */
+               parent->spilled_regs[slot].live |= REG_LIVE_READ;
+               state = parent;
+               parent = state->parent;
+       }
+}
+
 static int check_stack_read(struct bpf_verifier_state *state, int off, int 
size,
                            int value_regno)
 {
        u8 *slot_type;
-       int i;
+       int i, spi;
 
        slot_type = &state->stack_slot_type[MAX_BPF_STACK + off];
 
@@ -746,10 +781,13 @@ static int check_stack_read(struct bpf_verifier_state 
*state, int off, int size,
                        }
                }
 
-               if (value_regno >= 0)
+               spi = (MAX_BPF_STACK + off) / BPF_REG_SIZE;
+
+               if (value_regno >= 0) {
                        /* restore register state from stack */
-                       state->regs[value_regno] =
-                               state->spilled_regs[(MAX_BPF_STACK + off) / 
BPF_REG_SIZE];
+                       state->regs[value_regno] = state->spilled_regs[spi];
+                       mark_stack_slot_read(state, spi);
+               }
                return 0;
        } else {
                for (i = 0; i < size; i++) {
@@ -1167,7 +1205,6 @@ static int check_mem_access(struct bpf_verifier_env *env, 
int insn_idx, u32 regn
 
 static int check_xadd(struct bpf_verifier_env *env, int insn_idx, struct 
bpf_insn *insn)
 {
-       struct bpf_reg_state *regs = env->cur_state.regs;
        int err;
 
        if ((BPF_SIZE(insn->code) != BPF_W && BPF_SIZE(insn->code) != BPF_DW) ||
@@ -1177,12 +1214,12 @@ static int check_xadd(struct bpf_verifier_env *env, int 
insn_idx, struct bpf_ins
        }
 
        /* check src1 operand */
-       err = check_reg_arg(regs, insn->src_reg, SRC_OP);
+       err = check_reg_arg(env, insn->src_reg, SRC_OP);
        if (err)
                return err;
 
        /* check src2 operand */
-       err = check_reg_arg(regs, insn->dst_reg, SRC_OP);
+       err = check_reg_arg(env, insn->dst_reg, SRC_OP);
        if (err)
                return err;
 
@@ -1297,10 +1334,9 @@ static int check_func_arg(struct bpf_verifier_env *env, 
u32 regno,
        if (arg_type == ARG_DONTCARE)
                return 0;
 
-       if (type == NOT_INIT) {
-               verbose("R%d !read_ok\n", regno);
-               return -EACCES;
-       }
+       err = check_reg_arg(env, regno, SRC_OP);
+       if (err)
+               return err;
 
        if (arg_type == ARG_ANYTHING) {
                if (is_pointer_value(env, regno)) {
@@ -1639,10 +1675,12 @@ static int check_call(struct bpf_verifier_env *env, int 
func_id, int insn_idx)
        }
 
        /* reset caller saved regs */
-       for (i = 0; i < CALLER_SAVED_REGS; i++)
+       for (i = 0; i < CALLER_SAVED_REGS; i++) {
                mark_reg_not_init(regs, caller_saved[i]);
+               check_reg_arg(env, caller_saved[i], DST_OP_NO_MARK);
+       }
 
-       /* update return register */
+       /* update return register (already marked as written above) */
        if (fn->ret_type == RET_INTEGER) {
                /* sets type to SCALAR_VALUE */
                mark_reg_unknown(regs, BPF_REG_0);
@@ -2250,7 +2288,7 @@ static int check_alu_op(struct bpf_verifier_env *env, 
struct bpf_insn *insn)
                }
 
                /* check src operand */
-               err = check_reg_arg(regs, insn->dst_reg, SRC_OP);
+               err = check_reg_arg(env, insn->dst_reg, SRC_OP);
                if (err)
                        return err;
 
@@ -2261,7 +2299,7 @@ static int check_alu_op(struct bpf_verifier_env *env, 
struct bpf_insn *insn)
                }
 
                /* check dest operand */
-               err = check_reg_arg(regs, insn->dst_reg, DST_OP);
+               err = check_reg_arg(env, insn->dst_reg, DST_OP);
                if (err)
                        return err;
 
@@ -2274,7 +2312,7 @@ static int check_alu_op(struct bpf_verifier_env *env, 
struct bpf_insn *insn)
                        }
 
                        /* check src operand */
-                       err = check_reg_arg(regs, insn->src_reg, SRC_OP);
+                       err = check_reg_arg(env, insn->src_reg, SRC_OP);
                        if (err)
                                return err;
                } else {
@@ -2285,7 +2323,7 @@ static int check_alu_op(struct bpf_verifier_env *env, 
struct bpf_insn *insn)
                }
 
                /* check dest operand */
-               err = check_reg_arg(regs, insn->dst_reg, DST_OP);
+               err = check_reg_arg(env, insn->dst_reg, DST_OP);
                if (err)
                        return err;
 
@@ -2328,7 +2366,7 @@ static int check_alu_op(struct bpf_verifier_env *env, 
struct bpf_insn *insn)
                                return -EINVAL;
                        }
                        /* check src1 operand */
-                       err = check_reg_arg(regs, insn->src_reg, SRC_OP);
+                       err = check_reg_arg(env, insn->src_reg, SRC_OP);
                        if (err)
                                return err;
                } else {
@@ -2339,7 +2377,7 @@ static int check_alu_op(struct bpf_verifier_env *env, 
struct bpf_insn *insn)
                }
 
                /* check src2 operand */
-               err = check_reg_arg(regs, insn->dst_reg, SRC_OP);
+               err = check_reg_arg(env, insn->dst_reg, SRC_OP);
                if (err)
                        return err;
 
@@ -2360,7 +2398,7 @@ static int check_alu_op(struct bpf_verifier_env *env, 
struct bpf_insn *insn)
                }
 
                /* check dest operand */
-               err = check_reg_arg(regs, insn->dst_reg, DST_OP_NO_MARK);
+               err = check_reg_arg(env, insn->dst_reg, DST_OP_NO_MARK);
                if (err)
                        return err;
 
@@ -2717,7 +2755,7 @@ static int check_cond_jmp_op(struct bpf_verifier_env *env,
                }
 
                /* check src1 operand */
-               err = check_reg_arg(regs, insn->src_reg, SRC_OP);
+               err = check_reg_arg(env, insn->src_reg, SRC_OP);
                if (err)
                        return err;
 
@@ -2734,7 +2772,7 @@ static int check_cond_jmp_op(struct bpf_verifier_env *env,
        }
 
        /* check src2 operand */
-       err = check_reg_arg(regs, insn->dst_reg, SRC_OP);
+       err = check_reg_arg(env, insn->dst_reg, SRC_OP);
        if (err)
                return err;
 
@@ -2851,7 +2889,7 @@ static int check_ld_imm(struct bpf_verifier_env *env, 
struct bpf_insn *insn)
                return -EINVAL;
        }
 
-       err = check_reg_arg(regs, insn->dst_reg, DST_OP);
+       err = check_reg_arg(env, insn->dst_reg, DST_OP);
        if (err)
                return err;
 
@@ -2917,7 +2955,7 @@ static int check_ld_abs(struct bpf_verifier_env *env, 
struct bpf_insn *insn)
        }
 
        /* check whether implicit source operand (register R6) is readable */
-       err = check_reg_arg(regs, BPF_REG_6, SRC_OP);
+       err = check_reg_arg(env, BPF_REG_6, SRC_OP);
        if (err)
                return err;
 
@@ -2928,17 +2966,20 @@ static int check_ld_abs(struct bpf_verifier_env *env, 
struct bpf_insn *insn)
 
        if (mode == BPF_IND) {
                /* check explicit source operand */
-               err = check_reg_arg(regs, insn->src_reg, SRC_OP);
+               err = check_reg_arg(env, insn->src_reg, SRC_OP);
                if (err)
                        return err;
        }
 
        /* reset caller saved regs to unreadable */
-       for (i = 0; i < CALLER_SAVED_REGS; i++)
+       for (i = 0; i < CALLER_SAVED_REGS; i++) {
                mark_reg_not_init(regs, caller_saved[i]);
+               check_reg_arg(env, caller_saved[i], DST_OP_NO_MARK);
+       }
 
        /* mark destination R0 register as readable, since it contains
-        * the value fetched from the packet
+        * the value fetched from the packet.
+        * Already marked as written above.
         */
        mark_reg_unknown(regs, BPF_REG_0);
        return 0;
@@ -3194,7 +3235,11 @@ static bool regsafe(struct bpf_reg_state *rold,
                    struct bpf_reg_state *rcur,
                    bool varlen_map_access, struct idpair *idmap)
 {
-       if (memcmp(rold, rcur, sizeof(*rold)) == 0)
+       if (!(rold->live & REG_LIVE_READ))
+               /* explored state didn't use this */
+               return true;
+
+       if (memcmp(rold, rcur, offsetof(struct bpf_reg_state, live)) == 0)
                return true;
 
        if (rold->type == NOT_INIT)
@@ -3372,10 +3417,56 @@ static bool states_equal(struct bpf_verifier_env *env,
        return ret;
 }
 
+static bool do_propagate_liveness(const struct bpf_verifier_state *state,
+                                 struct bpf_verifier_state *parent)
+{
+       bool touched = false; /* any changes made? */
+       int i;
+
+       if (!parent)
+               return touched;
+       /* Propagate read liveness of registers... */
+       BUILD_BUG_ON(BPF_REG_FP + 1 != MAX_BPF_REG);
+       /* We don't need to worry about FP liveness because it's read-only */
+       for (i = 0; i < BPF_REG_FP; i++) {
+               if (parent->regs[i].live & REG_LIVE_READ)
+                       continue;
+               if (state->regs[i].live == REG_LIVE_READ) {
+                       parent->regs[i].live |= REG_LIVE_READ;
+                       touched = true;
+               }
+       }
+       /* ... and stack slots */
+       for (i = 0; i < MAX_BPF_STACK / BPF_REG_SIZE; i++) {
+               if (parent->stack_slot_type[i * BPF_REG_SIZE] != STACK_SPILL)
+                       continue;
+               if (state->stack_slot_type[i * BPF_REG_SIZE] != STACK_SPILL)
+                       continue;
+               if (parent->spilled_regs[i].live & REG_LIVE_READ)
+                       continue;
+               if (state->spilled_regs[i].live == REG_LIVE_READ) {
+                       parent->regs[i].live |= REG_LIVE_READ;
+                       touched = true;
+               }
+       }
+       return touched;
+}
+
+static void propagate_liveness(const struct bpf_verifier_state *state,
+                              struct bpf_verifier_state *parent)
+{
+       while (do_propagate_liveness(state, parent)) {
+               /* Something changed, so we need to feed those changes onward */
+               state = parent;
+               parent = state->parent;
+       }
+}
+
 static int is_state_visited(struct bpf_verifier_env *env, int insn_idx)
 {
        struct bpf_verifier_state_list *new_sl;
        struct bpf_verifier_state_list *sl;
+       int i;
 
        sl = env->explored_states[insn_idx];
        if (!sl)
@@ -3385,11 +3476,14 @@ static int is_state_visited(struct bpf_verifier_env 
*env, int insn_idx)
                return 0;
 
        while (sl != STATE_LIST_MARK) {
-               if (states_equal(env, &sl->state, &env->cur_state))
+               if (states_equal(env, &sl->state, &env->cur_state)) {
                        /* reached equivalent register/stack state,
-                        * prune the search
+                        * prune the search.
+                        * Registers read by the continuation are read by us.
                         */
+                       propagate_liveness(&sl->state, &env->cur_state);
                        return 1;
+               }
                sl = sl->next;
        }
 
@@ -3407,6 +3501,14 @@ static int is_state_visited(struct bpf_verifier_env 
*env, int insn_idx)
        memcpy(&new_sl->state, &env->cur_state, sizeof(env->cur_state));
        new_sl->next = env->explored_states[insn_idx];
        env->explored_states[insn_idx] = new_sl;
+       /* connect new state to parentage chain */
+       env->cur_state.parent = &new_sl->state;
+       /* clear liveness marks in current state */
+       for (i = 0; i < BPF_REG_FP; i++)
+               env->cur_state.regs[i].live = REG_LIVE_NONE;
+       for (i = 0; i < MAX_BPF_STACK / BPF_REG_SIZE; i++)
+               if (env->cur_state.stack_slot_type[i * BPF_REG_SIZE] == 
STACK_SPILL)
+                       env->cur_state.spilled_regs[i].live = REG_LIVE_NONE;
        return 0;
 }
 
@@ -3430,6 +3532,7 @@ static int do_check(struct bpf_verifier_env *env)
        bool do_print_state = false;
 
        init_reg_state(regs);
+       state->parent = NULL;
        insn_idx = 0;
        env->varlen_map_value_access = false;
        for (;;) {
@@ -3500,11 +3603,11 @@ static int do_check(struct bpf_verifier_env *env)
                        /* check for reserved fields is already done */
 
                        /* check src operand */
-                       err = check_reg_arg(regs, insn->src_reg, SRC_OP);
+                       err = check_reg_arg(env, insn->src_reg, SRC_OP);
                        if (err)
                                return err;
 
-                       err = check_reg_arg(regs, insn->dst_reg, 
DST_OP_NO_MARK);
+                       err = check_reg_arg(env, insn->dst_reg, DST_OP_NO_MARK);
                        if (err)
                                return err;
 
@@ -3554,11 +3657,11 @@ static int do_check(struct bpf_verifier_env *env)
                        }
 
                        /* check src1 operand */
-                       err = check_reg_arg(regs, insn->src_reg, SRC_OP);
+                       err = check_reg_arg(env, insn->src_reg, SRC_OP);
                        if (err)
                                return err;
                        /* check src2 operand */
-                       err = check_reg_arg(regs, insn->dst_reg, SRC_OP);
+                       err = check_reg_arg(env, insn->dst_reg, SRC_OP);
                        if (err)
                                return err;
 
@@ -3589,7 +3692,7 @@ static int do_check(struct bpf_verifier_env *env)
                                return -EINVAL;
                        }
                        /* check src operand */
-                       err = check_reg_arg(regs, insn->dst_reg, SRC_OP);
+                       err = check_reg_arg(env, insn->dst_reg, SRC_OP);
                        if (err)
                                return err;
 
@@ -3643,7 +3746,7 @@ static int do_check(struct bpf_verifier_env *env)
                                 * of bpf_exit, which means that program wrote
                                 * something into it earlier
                                 */
-                               err = check_reg_arg(regs, BPF_REG_0, SRC_OP);
+                               err = check_reg_arg(env, BPF_REG_0, SRC_OP);
                                if (err)
                                        return err;
 

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