diff --git a/include/linux/bpf_verifier.h b/include/linux/bpf_verifier.h
index 85936fa..c61c3033 100644
--- a/include/linux/bpf_verifier.h
+++ b/include/linux/bpf_verifier.h
@@ -11,11 +11,15 @@
 #include <linux/filter.h> /* for MAX_BPF_STACK */
 #include <linux/tnum.h>
 
- /* Just some arbitrary values so we can safely do math without overflowing and
-  * are obviously wrong for any sort of memory access.
-  */
-#define BPF_REGISTER_MAX_RANGE (1024 * 1024 * 1024)
-#define BPF_REGISTER_MIN_RANGE -1
+/* Maximum variable offset umax_value permitted when resolving memory accesses.
+ * In practice this is far bigger than any realistic pointer offset; this limit
+ * ensures that umax_value + (int)off + (int)size cannot overflow a u64.
+ */
+#define BPF_MAX_VAR_OFF	(1ULL << 31)
+/* Maximum variable size permitted for ARG_CONST_SIZE[_OR_ZERO].  This ensures
+ * that converting umax_value to int cannot overflow.
+ */
+#define BPF_MAX_VAR_SIZ	INT_MAX
 
 struct bpf_reg_state {
 	enum bpf_reg_type type;
@@ -36,7 +40,7 @@ struct bpf_reg_state {
 	 * came from, when one is tested for != NULL.
 	 */
 	u32 id;
-	/* These three fields must be last.  See states_equal() */
+	/* These five fields must be last.  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
@@ -49,9 +53,10 @@ struct bpf_reg_state {
 	 * These refer to the same value as var_off, not necessarily the actual
 	 * contents of the register.
 	 */
-	s64 min_value;
-	u64 max_value;
-	bool value_from_signed;
+	s64 smin_value; /* minimum possible (s64)value */
+	s64 smax_value; /* maximum possible (s64)value */
+	u64 umin_value; /* minimum possible (u64)value */
+	u64 umax_value; /* maximum possible (u64)value */
 };
 
 enum bpf_stack_slot_type {
diff --git a/include/linux/tnum.h b/include/linux/tnum.h
index a0b07bf..0d2d3da 100644
--- a/include/linux/tnum.h
+++ b/include/linux/tnum.h
@@ -17,6 +17,8 @@ struct tnum {
 struct tnum tnum_const(u64 value);
 /* A completely unknown value */
 extern const struct tnum tnum_unknown;
+/* A value that's unknown except that @min <= value <= @max */
+struct tnum tnum_range(u64 min, u64 max);
 
 /* Arithmetic and logical ops */
 /* Shift a tnum left (by a fixed shift) */
diff --git a/kernel/bpf/tnum.c b/kernel/bpf/tnum.c
index 92eeeb1..1f4bf68 100644
--- a/kernel/bpf/tnum.c
+++ b/kernel/bpf/tnum.c
@@ -17,6 +17,22 @@ struct tnum tnum_const(u64 value)
 	return TNUM(value, 0);
 }
 
+struct tnum tnum_range(u64 min, u64 max)
+{
+	u64 chi = min ^ max, delta;
+	u8 bits = fls64(chi);
+
+	/* special case, needed because 1ULL << 64 is undefined */
+	if (bits > 63)
+		return tnum_unknown;
+	/* e.g. if chi = 4, bits = 3, delta = (1<<3) - 1 = 7.
+	 * if chi = 0, bits = 0, delta = (1<<0) - 1 = 0, so we return
+	 *  constant min (since min == max).
+	 */
+	delta = (1ULL << bits) - 1;
+	return TNUM(min & ~delta, delta);
+}
+
 struct tnum tnum_lshift(struct tnum a, u8 shift)
 {
 	return TNUM(a.value << shift, a.mask << shift);
diff --git a/kernel/bpf/verifier.c b/kernel/bpf/verifier.c
index da2ac69..ca14f59 100644
--- a/kernel/bpf/verifier.c
+++ b/kernel/bpf/verifier.c
@@ -234,12 +234,20 @@ static void print_verifier_state(struct bpf_verifier_state *state)
 				verbose(",ks=%d,vs=%d",
 					reg->map_ptr->key_size,
 					reg->map_ptr->value_size);
-			if (reg->min_value != BPF_REGISTER_MIN_RANGE)
-				verbose(",min_value=%lld",
-					(long long)reg->min_value);
-			if (reg->max_value != BPF_REGISTER_MAX_RANGE)
-				verbose(",max_value=%llu",
-					(unsigned long long)reg->max_value);
+			if (reg->smin_value != reg->umin_value &&
+			    reg->smin_value != S64_MIN)
+				verbose(",smin_value=%lld",
+					(long long)reg->smin_value);
+			if (reg->smax_value != reg->umax_value &&
+			    reg->smax_value != S64_MAX)
+				verbose(",smax_value=%lld",
+					(long long)reg->smax_value);
+			if (reg->umin_value != 0)
+				verbose(",umin_value=%llu",
+					(unsigned long long)reg->umin_value);
+			if (reg->umax_value != U64_MAX)
+				verbose(",umax_value=%llu",
+					(unsigned long long)reg->umax_value);
 			if (!tnum_is_unknown(reg->var_off)) {
 				char tn_buf[48];
 
@@ -466,14 +474,25 @@ static const int caller_saved[CALLER_SAVED_REGS] = {
 
 static void __mark_reg_not_init(struct bpf_reg_state *reg);
 
+/* Mark the unknown part of a register (variable offset or scalar value) as
+ * known to have the value @imm.
+ */
+static void __mark_reg_known(struct bpf_reg_state *reg, u64 imm)
+{
+	reg->id = 0;
+	reg->var_off = tnum_const(imm);
+	reg->smin_value = (s64)imm;
+	reg->smax_value = (s64)imm;
+	reg->umin_value = imm;
+	reg->umax_value = imm;
+}
+
 /* Mark the 'variable offset' part of a register as zero.  This should be
  * used only on registers holding a pointer type.
  */
 static void __mark_reg_known_zero(struct bpf_reg_state *reg)
 {
-	reg->var_off = tnum_const(0);
-	reg->min_value = 0;
-	reg->max_value = 0;
+	__mark_reg_known(reg, 0);
 }
 
 static void mark_reg_known_zero(struct bpf_reg_state *regs, u32 regno)
@@ -488,6 +507,72 @@ static void mark_reg_known_zero(struct bpf_reg_state *regs, u32 regno)
 	__mark_reg_known_zero(regs + regno);
 }
 
+/* Attempts to improve min/max values based on var_off information */
+static void __update_reg_bounds(struct bpf_reg_state *reg)
+{
+	/* min signed is max(sign bit) | min(other bits) */
+	reg->smin_value = max_t(s64, reg->smin_value,
+				reg->var_off.value | (reg->var_off.mask & S64_MIN));
+	/* max signed is min(sign bit) | max(other bits) */
+	reg->smax_value = min_t(s64, reg->smax_value,
+				reg->var_off.value | (reg->var_off.mask & S64_MAX));
+	reg->umin_value = max(reg->umin_value, reg->var_off.value);
+	reg->umax_value = min(reg->umax_value,
+			      reg->var_off.value | reg->var_off.mask);
+}
+
+/* Uses signed min/max values to inform unsigned, and vice-versa */
+static void __reg_deduce_bounds(struct bpf_reg_state *reg)
+{
+	/* Learn sign from signed bounds.
+	 * If we cannot cross the sign boundary, then signed and unsigned bounds
+	 * are the same, so combine.  This works even in the negative case, e.g.
+	 * -3 s<= x s<= -1 implies 0xf...fd u<= x u<= 0xf...ff.
+	 */
+	if (reg->smin_value >= 0 || reg->smax_value < 0) {
+		reg->smin_value = reg->umin_value = max_t(u64, reg->smin_value,
+							  reg->umin_value);
+		reg->smax_value = reg->umax_value = min_t(u64, reg->smax_value,
+							  reg->umax_value);
+		return;
+	}
+	/* Learn sign from unsigned bounds.  Signed bounds cross the sign
+	 * boundary, so we must be careful.
+	 */
+	if ((s64)reg->umax_value >= 0) {
+		/* Positive.  We can't learn anything from the smin, but smax
+		 * is positive, hence safe.
+		 */
+		reg->smin_value = reg->umin_value;
+		reg->smax_value = reg->umax_value = min_t(u64, reg->smax_value,
+							  reg->umax_value);
+	} else if ((s64)reg->umin_value < 0) {
+		/* Negative.  We can't learn anything from the smax, but smin
+		 * is negative, hence safe.
+		 */
+		reg->smin_value = reg->umin_value = max_t(u64, reg->smin_value,
+							  reg->umin_value);
+		reg->smax_value = reg->umax_value;
+	}
+}
+
+/* Attempts to improve var_off based on unsigned min/max information */
+static void __reg_bound_offset(struct bpf_reg_state *reg)
+{
+	reg->var_off = tnum_intersect(reg->var_off,
+				      tnum_range(reg->umin_value,
+						 reg->umax_value));
+}
+
+/* Reset the min/max bounds of a register */
+static void __mark_reg_unbounded(struct bpf_reg_state *reg)
+{
+	reg->smin_value = S64_MIN;
+	reg->smax_value = S64_MAX;
+	reg->umin_value = 0;
+	reg->umax_value = U64_MAX;
+}
+
 /* Mark a register as having a completely unknown (scalar) value. */
 static void __mark_reg_unknown(struct bpf_reg_state *reg)
 {
@@ -495,8 +580,7 @@ static void __mark_reg_unknown(struct bpf_reg_state *reg)
 	reg->id = 0;
 	reg->off = 0;
 	reg->var_off = tnum_unknown;
-	reg->min_value = BPF_REGISTER_MIN_RANGE;
-	reg->max_value = BPF_REGISTER_MAX_RANGE;
+	__mark_reg_unbounded(reg);
 }
 
 static void mark_reg_unknown(struct bpf_reg_state *regs, u32 regno)
@@ -545,13 +629,6 @@ static void init_reg_state(struct bpf_reg_state *regs)
 	mark_reg_known_zero(regs, BPF_REG_1);
 }
 
-static void reset_reg_range_values(struct bpf_reg_state *regs, u32 regno)
-{
-	regs[regno].min_value = BPF_REGISTER_MIN_RANGE;
-	regs[regno].max_value = BPF_REGISTER_MAX_RANGE;
-	regs[regno].value_from_signed = false;
-}
-
 enum reg_arg_type {
 	SRC_OP,		/* register is used as source operand */
 	DST_OP,		/* register is used as destination operand */
@@ -716,26 +793,27 @@ static int check_map_access(struct bpf_verifier_env *env, u32 regno,
 	 * index'es we need to make sure that whatever we use
 	 * will have a set floor within our range.
 	 */
-	if (reg->min_value < 0) {
+	if (reg->smin_value < 0) {
 		verbose("R%d min value is negative, either use unsigned index or do a if (index >=0) check.\n",
 			regno);
 		return -EACCES;
 	}
-	err = __check_map_access(env, regno, reg->min_value + off, size);
+	err = __check_map_access(env, regno, reg->smin_value + off, size);
 	if (err) {
 		verbose("R%d min value is outside of the array range\n", regno);
 		return err;
 	}
 
-	/* If we haven't set a max value then we need to bail
-	 * since we can't be sure we won't do bad things.
+	/* If we haven't set a max value then we need to bail since we can't be
+	 * sure we won't do bad things.
+	 * If reg->umax_value + off could overflow, treat that as unbounded too.
 	 */
-	if (reg->max_value == BPF_REGISTER_MAX_RANGE) {
+	if (reg->umax_value >= BPF_MAX_VAR_OFF) {
 		verbose("R%d unbounded memory access, make sure to bounds check any array access into a map\n",
 			regno);
 		return -EACCES;
 	}
-	err = __check_map_access(env, regno, reg->max_value + off, size);
+	err = __check_map_access(env, regno, reg->umax_value + off, size);
 	if (err)
 		verbose("R%d max value is outside of the array range\n", regno);
 	return err;
@@ -797,7 +875,7 @@ static int check_packet_access(struct bpf_verifier_env *env, u32 regno, int off,
 	/* We don't allow negative numbers, because we aren't tracking enough
 	 * detail to prove they're safe.
 	 */
-	if (reg->min_value < 0) {
+	if (reg->smin_value < 0) {
 		verbose("R%d min value is negative, either use unsigned index or do a if (index >=0) check.\n",
 			regno);
 		return -EACCES;
@@ -1070,12 +1148,7 @@ static int check_mem_access(struct bpf_verifier_env *env, int insn_idx, u32 regn
 		/* b/h/w load zero-extends, mark upper bits as known 0 */
 		state->regs[value_regno].var_off = tnum_cast(
 					state->regs[value_regno].var_off, size);
-		/* sign bit is known zero, so we can bound the value */
-		state->regs[value_regno].min_value = 0;
-		state->regs[value_regno].max_value = min_t(u64,
-					state->regs[value_regno].var_off.value |
-					state->regs[value_regno].var_off.mask,
-					BPF_REGISTER_MAX_RANGE);
+		__update_reg_bounds(&state->regs[value_regno]);
 	}
 	return err;
 }
@@ -1333,13 +1406,13 @@ static int check_func_arg(struct bpf_verifier_env *env, u32 regno,
 			 */
 			meta = NULL;
 
-		if (reg->min_value < 0) {
+		if (reg->smin_value < 0) {
 			verbose("R%d min value is negative, either use unsigned or 'var &= const'\n",
 				regno);
 			return -EACCES;
 		}
 
-		if (reg->min_value == 0) {
+		if (reg->umin_value == 0) {
 			err = check_helper_mem_access(env, regno - 1, 0,
 						      zero_size_allowed,
 						      meta);
@@ -1347,13 +1420,13 @@ static int check_func_arg(struct bpf_verifier_env *env, u32 regno,
 				return err;
 		}
 
-		if (reg->max_value == BPF_REGISTER_MAX_RANGE) {
+		if (reg->umax_value >= BPF_MAX_VAR_SIZ) {
 			verbose("R%d unbounded memory access, use 'var &= const' or 'if (var < const)'\n",
 				regno);
 			return -EACCES;
 		}
 		err = check_helper_mem_access(env, regno - 1,
-					      reg->max_value,
+					      reg->umax_value,
 					      zero_size_allowed, meta);
 	}
 
@@ -1600,33 +1673,35 @@ static int check_call(struct bpf_verifier_env *env, int func_id, int insn_idx)
 	return 0;
 }
 
-static void check_reg_overflow(struct bpf_reg_state *reg)
-{
-	if (reg->max_value > BPF_REGISTER_MAX_RANGE)
-		reg->max_value = BPF_REGISTER_MAX_RANGE;
-	if (reg->min_value < BPF_REGISTER_MIN_RANGE ||
-	    reg->min_value > BPF_REGISTER_MAX_RANGE)
-		reg->min_value = BPF_REGISTER_MIN_RANGE;
-}
-
 static void coerce_reg_to_32(struct bpf_reg_state *reg)
 {
-	/* 32-bit values can't be negative as an s64 */
-	if (reg->min_value < 0)
-		reg->min_value = 0;
 	/* clear high 32 bits */
 	reg->var_off = tnum_cast(reg->var_off, 4);
-	/* Did value become known?  Then update bounds */
-	if (tnum_is_const(reg->var_off)) {
-		if ((s64)reg->var_off.value > BPF_REGISTER_MIN_RANGE)
-			reg->min_value = reg->var_off.value;
-		if (reg->var_off.value < BPF_REGISTER_MAX_RANGE)
-			reg->max_value = reg->var_off.value;
-	}
+	/* Update bounds */
+	__update_reg_bounds(reg);
+}
+
+static bool signed_add_overflows(s64 a, s64 b)
+{
+	/* Do the add in u64, where overflow is well-defined */
+	s64 res = (s64)((u64)a + (u64)b);
+
+	if (b < 0)
+		return res > a;
+	return res < a;
+}
+
+static bool signed_sub_overflows(s64 a, s64 b)
+{
+	/* Do the sub in u64, where overflow is well-defined */
+	s64 res = (s64)((u64)a - (u64)b);
+
+	if (b < 0)
+		return res < a;
+	return res > a;
 }
 
 /* Handles arithmetic on a pointer and a scalar: computes new min/max and var_off.
- * Caller must check_reg_overflow all argument regs beforehand.
  * Caller should also handle BPF_MOV case separately.
  * If we return -EACCES, caller may want to try again treating pointer as a
  * scalar.  So we only emit a diagnostic if !env->allow_ptr_leaks.
@@ -1638,16 +1713,23 @@ static int adjust_ptr_min_max_vals(struct bpf_verifier_env *env,
 {
 	struct bpf_reg_state *regs = env->cur_state.regs, *dst_reg;
 	bool known = tnum_is_const(off_reg->var_off);
-	s64 min_val = off_reg->min_value;
-	u64 max_val = off_reg->max_value;
+	s64 smin_val = off_reg->smin_value, smax_val = off_reg->smax_value,
+	    smin_ptr = ptr_reg->smin_value, smax_ptr = ptr_reg->smax_value;
+	u64 umin_val = off_reg->umin_value, umax_val = off_reg->umax_value,
+	    umin_ptr = ptr_reg->umin_value, umax_ptr = ptr_reg->umax_value;
 	u8 opcode = BPF_OP(insn->code);
 	u32 dst = insn->dst_reg;
 
 	dst_reg = &regs[dst];
 
-	if (WARN_ON_ONCE(known && (min_val != max_val))) {
+	if (WARN_ON_ONCE(known && (smin_val != smax_val))) {
+		print_verifier_state(&env->cur_state);
+		verbose("verifier internal error: known but bad sbounds\n");
+		return -EINVAL;
+	}
+	if (WARN_ON_ONCE(known && (umin_val != umax_val))) {
 		print_verifier_state(&env->cur_state);
-		verbose("verifier internal error\n");
+		verbose("verifier internal error: known but bad ubounds\n");
 		return -EINVAL;
 	}
 
@@ -1689,22 +1771,18 @@ static int adjust_ptr_min_max_vals(struct bpf_verifier_env *env,
 		/* We can take a fixed offset as long as it doesn't overflow
 		 * the s32 'off' field
 		 */
-		if (known && (ptr_reg->off + min_val ==
-			      (s64)(s32)(ptr_reg->off + min_val))) {
+		if (known && (ptr_reg->off + smin_val ==
+			      (s64)(s32)(ptr_reg->off + smin_val))) {
 			/* pointer += K.  Accumulate it into fixed offset */
-			dst_reg->min_value = ptr_reg->min_value;
-			dst_reg->max_value = ptr_reg->max_value;
+			dst_reg->smin_value = smin_ptr;
+			dst_reg->smax_value = smax_ptr;
+			dst_reg->umin_value = umin_ptr;
+			dst_reg->umax_value = umax_ptr;
 			dst_reg->var_off = ptr_reg->var_off;
-			dst_reg->off = ptr_reg->off + min_val;
+			dst_reg->off = ptr_reg->off + smin_val;
 			dst_reg->range = ptr_reg->range;
 			break;
 		}
-		if (max_val == BPF_REGISTER_MAX_RANGE) {
-			if (!env->allow_ptr_leaks)
-				verbose("R%d tried to add unbounded value to pointer\n",
-					dst);
-			return -EACCES;
-		}
 		/* A new variable offset is created.  Note that off_reg->off
 		 * == 0, since it's a scalar.
 		 * dst_reg gets the pointer type and since some positive
@@ -1714,12 +1792,22 @@ static int adjust_ptr_min_max_vals(struct bpf_verifier_env *env,
 		 * added into the variable offset, and we copy the fixed offset
 		 * from ptr_reg.
 		 */
-		if (min_val <= BPF_REGISTER_MIN_RANGE)
-			dst_reg->min_value = BPF_REGISTER_MIN_RANGE;
-		if (dst_reg->min_value != BPF_REGISTER_MIN_RANGE)
-			dst_reg->min_value += min_val;
-		if (dst_reg->max_value != BPF_REGISTER_MAX_RANGE)
-			dst_reg->max_value += max_val;
+		if (signed_add_overflows(smin_ptr, smin_val) ||
+		    signed_add_overflows(smax_ptr, smax_val)) {
+			dst_reg->smin_value = S64_MIN;
+			dst_reg->smax_value = S64_MAX;
+		} else {
+			dst_reg->smin_value = smin_ptr + smin_val;
+			dst_reg->smax_value = smax_ptr + smax_val;
+		}
+		if (umin_ptr + umin_val < umin_ptr ||
+		    umax_ptr + umax_val < umax_ptr) {
+			dst_reg->umin_value = 0;
+			dst_reg->umax_value = U64_MAX;
+		} else {
+			dst_reg->umin_value = umin_ptr + umin_val;
+			dst_reg->umax_value = umax_ptr + umax_val;
+		}
 		dst_reg->var_off = tnum_add(ptr_reg->var_off, off_reg->var_off);
 		dst_reg->off = ptr_reg->off;
 		if (ptr_reg->type == PTR_TO_PACKET) {
@@ -1746,43 +1834,46 @@ static int adjust_ptr_min_max_vals(struct bpf_verifier_env *env,
 					dst);
 			return -EACCES;
 		}
-		if (known && (ptr_reg->off - min_val ==
-			      (s64)(s32)(ptr_reg->off - min_val))) {
+		if (known && (ptr_reg->off - smin_val ==
+			      (s64)(s32)(ptr_reg->off - smin_val))) {
 			/* pointer -= K.  Subtract it from fixed offset */
-			dst_reg->min_value = ptr_reg->min_value;
-			dst_reg->max_value = ptr_reg->max_value;
+			dst_reg->smin_value = smin_ptr;
+			dst_reg->smax_value = smax_ptr;
+			dst_reg->umin_value = umin_ptr;
+			dst_reg->umax_value = umax_ptr;
 			dst_reg->var_off = ptr_reg->var_off;
 			dst_reg->id = ptr_reg->id;
-			dst_reg->off = ptr_reg->off - min_val;
+			dst_reg->off = ptr_reg->off - smin_val;
 			dst_reg->range = ptr_reg->range;
 			break;
 		}
-		/* Subtracting a negative value will just confuse everything.
-		 * This can happen if off_reg is an immediate.
-		 */
-		if ((s64)max_val < 0) {
-			if (!env->allow_ptr_leaks)
-				verbose("R%d tried to subtract negative max_val %lld from pointer\n",
-					dst, (s64)max_val);
-			return -EACCES;
-		}
 		/* A new variable offset is created.  If the subtrahend is known
 		 * nonnegative, then any reg->range we had before is still good.
 		 */
-		if (max_val >= BPF_REGISTER_MAX_RANGE)
-			dst_reg->min_value = BPF_REGISTER_MIN_RANGE;
-		if (dst_reg->min_value != BPF_REGISTER_MIN_RANGE)
-			dst_reg->min_value -= max_val;
-		if (min_val <= BPF_REGISTER_MIN_RANGE)
-			dst_reg->max_value = BPF_REGISTER_MAX_RANGE;
-		if (dst_reg->max_value != BPF_REGISTER_MAX_RANGE)
-			dst_reg->max_value -= min_val;
+		if (signed_sub_overflows(smin_ptr, smax_val) ||
+		    signed_sub_overflows(smax_ptr, smin_val)) {
+			/* Overflow possible, we know nothing */
+			dst_reg->smin_value = S64_MIN;
+			dst_reg->smax_value = S64_MAX;
+		} else {
+			dst_reg->smin_value = smin_ptr - smax_val;
+			dst_reg->smax_value = smax_ptr - smin_val;
+		}
+		if (umin_ptr < umax_val) {
+			/* Overflow possible, we know nothing */
+			dst_reg->umin_value = 0;
+			dst_reg->umax_value = U64_MAX;
+		} else {
+			/* Cannot overflow (as long as bounds are consistent) */
+			dst_reg->umin_value = umin_ptr - umax_val;
+			dst_reg->umax_value = umax_ptr - umin_val;
+		}
 		dst_reg->var_off = tnum_sub(ptr_reg->var_off, off_reg->var_off);
 		dst_reg->off = ptr_reg->off;
 		if (ptr_reg->type == PTR_TO_PACKET) {
 			dst_reg->id = ++env->id_gen;
 			/* something was added to pkt_ptr, set range to zero */
-			if (min_val < 0)
+			if (smin_val < 0)
 				dst_reg->range = 0;
 		}
 		break;
@@ -1805,7 +1896,9 @@ static int adjust_ptr_min_max_vals(struct bpf_verifier_env *env,
 		return -EACCES;
 	}
 
-	check_reg_overflow(dst_reg);
+	__update_reg_bounds(dst_reg);
+	__reg_deduce_bounds(dst_reg);
+	__reg_bound_offset(dst_reg);
 	return 0;
 }
 
@@ -1815,10 +1908,10 @@ static int adjust_scalar_min_max_vals(struct bpf_verifier_env *env,
 				      struct bpf_reg_state *src_reg)
 {
 	struct bpf_reg_state *regs = env->cur_state.regs;
-	s64 min_val = BPF_REGISTER_MIN_RANGE;
-	u64 max_val = BPF_REGISTER_MAX_RANGE;
 	u8 opcode = BPF_OP(insn->code);
 	bool src_known, dst_known;
+	s64 smin_val, smax_val;
+	u64 umin_val, umax_val;
 
 	if (BPF_CLASS(insn->code) != BPF_ALU64) {
 		/* 32-bit ALU ops are (32,32)->64 */
@@ -1830,147 +1923,207 @@ static int adjust_scalar_min_max_vals(struct bpf_verifier_env *env,
 		coerce_reg_to_32(dst_reg);
 		coerce_reg_to_32(src_reg);
 	}
-	min_val = src_reg->min_value;
-	max_val = src_reg->max_value;
+	smin_val = src_reg->smin_value;
+	smax_val = src_reg->smax_value;
+	umin_val = src_reg->umin_value;
+	umax_val = src_reg->umax_value;
 	src_known = tnum_is_const(src_reg->var_off);
 	dst_known = tnum_is_const(dst_reg->var_off);
 
 	switch (opcode) {
 	case BPF_ADD:
-		if (min_val == BPF_REGISTER_MIN_RANGE)
-			dst_reg->min_value = BPF_REGISTER_MIN_RANGE;
-		if (dst_reg->min_value != BPF_REGISTER_MIN_RANGE)
-			dst_reg->min_value += min_val;
-		/* if max_val is MAX_RANGE, this will saturate dst->max */
-		if (dst_reg->max_value != BPF_REGISTER_MAX_RANGE)
-			dst_reg->max_value += max_val;
+		if (signed_add_overflows(dst_reg->smin_value, smin_val) ||
+		    signed_add_overflows(dst_reg->smax_value, smax_val)) {
+			dst_reg->smin_value = S64_MIN;
+			dst_reg->smax_value = S64_MAX;
+		} else {
+			dst_reg->smin_value += smin_val;
+			dst_reg->smax_value += smax_val;
+		}
+		if (dst_reg->umin_value + umin_val < umin_val ||
+		    dst_reg->umax_value + umax_val < umax_val) {
+			dst_reg->umin_value = 0;
+			dst_reg->umax_value = U64_MAX;
+		} else {
+			dst_reg->umin_value += umin_val;
+			dst_reg->umax_value += umax_val;
+		}
 		dst_reg->var_off = tnum_add(dst_reg->var_off, src_reg->var_off);
 		break;
 	case BPF_SUB:
-		if (max_val == BPF_REGISTER_MAX_RANGE)
-			dst_reg->min_value = BPF_REGISTER_MIN_RANGE;
-		if (dst_reg->min_value != BPF_REGISTER_MIN_RANGE)
-			dst_reg->min_value -= max_val;
-		if (min_val == BPF_REGISTER_MIN_RANGE)
-			dst_reg->max_value = BPF_REGISTER_MAX_RANGE;
-		if (dst_reg->max_value != BPF_REGISTER_MAX_RANGE)
-			dst_reg->max_value -= min_val;
+		if (signed_sub_overflows(dst_reg->smin_value, smax_val) ||
+		    signed_sub_overflows(dst_reg->smax_value, smin_val)) {
+			/* Overflow possible, we know nothing */
+			dst_reg->smin_value = S64_MIN;
+			dst_reg->smax_value = S64_MAX;
+		} else {
+			dst_reg->smin_value -= smax_val;
+			dst_reg->smax_value -= smin_val;
+		}
+		if (dst_reg->umin_value < umax_val) {
+			/* Overflow possible, we know nothing */
+			dst_reg->umin_value = 0;
+			dst_reg->umax_value = U64_MAX;
+		} else {
+			/* Cannot overflow (as long as bounds are consistent) */
+			dst_reg->umin_value -= umax_val;
+			dst_reg->umax_value -= umin_val;
+		}
 		dst_reg->var_off = tnum_sub(dst_reg->var_off, src_reg->var_off);
 		break;
 	case BPF_MUL:
-		if (min_val < 0 || dst_reg->min_value < 0) {
+		dst_reg->var_off = tnum_mul(dst_reg->var_off, src_reg->var_off);
+		if (smin_val < 0 || dst_reg->smin_value < 0) {
 			/* Ain't nobody got time to multiply that sign */
-			__mark_reg_unknown(dst_reg);
+			__mark_reg_unbounded(dst_reg);
+			__update_reg_bounds(dst_reg);
 			break;
 		}
-		dst_reg->min_value *= min_val;
-		/* if max_val is MAX_RANGE, this will saturate dst->max.
-		 * We know MAX_RANGE ** 2 won't overflow a u64, because
-		 * MAX_RANGE itself fits in a u32.
+		/* Both values are positive, so we can work with unsigned and
+		 * copy the result to signed (unless it exceeds S64_MAX).
 		 */
-		BUILD_BUG_ON(BPF_REGISTER_MAX_RANGE > (u32)-1);
-		if (dst_reg->max_value != BPF_REGISTER_MAX_RANGE)
-			dst_reg->max_value *= max_val;
-		dst_reg->var_off = tnum_mul(dst_reg->var_off, src_reg->var_off);
+		if (umax_val > U32_MAX || dst_reg->umax_value > U32_MAX) {
+			/* Potential overflow, we know nothing */
+			__mark_reg_unbounded(dst_reg);
+			/* (except what we can learn from the var_off) */
+			__update_reg_bounds(dst_reg);
+			break;
+		}
+		dst_reg->umin_value *= umin_val;
+		dst_reg->umax_value *= umax_val;
+		if (dst_reg->umax_value > S64_MAX) {
+			/* Overflow possible, we know nothing */
+			dst_reg->smin_value = S64_MIN;
+			dst_reg->smax_value = S64_MAX;
+		} else {
+			dst_reg->smin_value = dst_reg->umin_value;
+			dst_reg->smax_value = dst_reg->umax_value;
+		}
 		break;
 	case BPF_AND:
 		if (src_known && dst_known) {
-			u64 value = dst_reg->var_off.value & src_reg->var_off.value;
-
-			dst_reg->var_off = tnum_const(value);
-			dst_reg->min_value = dst_reg->max_value = min_t(u64,
-					value, BPF_REGISTER_MAX_RANGE);
+			__mark_reg_known(dst_reg, dst_reg->var_off.value &
+						  src_reg->var_off.value);
 			break;
 		}
-		/* Lose min_value when AND'ing negative numbers, ain't nobody
-		 * got time for that.  Otherwise we get our minimum from the
-		 * var_off, since that's inherently bitwise.
-		 * Our maximum is the minimum of the operands' maxima.
+		/* We get our minimum from the var_off, since that's inherently
+		 * bitwise.  Our maximum is the minimum of the operands' maxima.
 		 */
 		dst_reg->var_off = tnum_and(dst_reg->var_off, src_reg->var_off);
-		if (min_val < 0 && dst_reg->min_value < 0)
-			dst_reg->min_value = BPF_REGISTER_MIN_RANGE;
-		else
-			dst_reg->min_value = dst_reg->var_off.value;
-		dst_reg->max_value = min(dst_reg->max_value, max_val);
+		dst_reg->umin_value = dst_reg->var_off.value;
+		dst_reg->umax_value = min(dst_reg->umax_value, umax_val);
+		if (dst_reg->smin_value < 0 || smin_val < 0) {
+			/* Lose signed bounds when ANDing negative numbers,
+			 * ain't nobody got time for that.
+			 */
+			dst_reg->smin_value = S64_MIN;
+			dst_reg->smax_value = S64_MAX;
+		} else {
+			/* ANDing two positives gives a positive, so safe to
+			 * cast result into s64.
+			 */
+			dst_reg->smin_value = dst_reg->umin_value;
+			dst_reg->smax_value = dst_reg->umax_value;
+		}
+		/* We may learn something more from the var_off */
+		__update_reg_bounds(dst_reg);
 		break;
 	case BPF_OR:
 		if (src_known && dst_known) {
-			u64 value = dst_reg->var_off.value | src_reg->var_off.value;
-
-			dst_reg->var_off = tnum_const(value);
-			dst_reg->min_value = dst_reg->max_value = min_t(u64,
-					value, BPF_REGISTER_MAX_RANGE);
+			__mark_reg_known(dst_reg, dst_reg->var_off.value |
+						  src_reg->var_off.value);
 			break;
 		}
-		/* Lose ranges when OR'ing negative numbers, ain't nobody got
-		 * time for that.  Otherwise we get our maximum from the var_off,
-		 * and our minimum is the maximum of the operands' minima.
+		/* We get our maximum from the var_off, and our minimum is the
+		 * maximum of the operands' minima
 		 */
 		dst_reg->var_off = tnum_or(dst_reg->var_off, src_reg->var_off);
-		if (min_val < 0 || dst_reg->min_value < 0) {
-			dst_reg->min_value = BPF_REGISTER_MIN_RANGE;
-			dst_reg->max_value = BPF_REGISTER_MAX_RANGE;
+		dst_reg->umin_value = max(dst_reg->umin_value, umin_val);
+		dst_reg->umax_value = dst_reg->var_off.value |
+				      dst_reg->var_off.mask;
+		if (dst_reg->smin_value < 0 || smin_val < 0) {
+			/* Lose signed bounds when ORing negative numbers,
+			 * ain't nobody got time for that.
+			 */
+			dst_reg->smin_value = S64_MIN;
+			dst_reg->smax_value = S64_MAX;
 		} else {
-			dst_reg->min_value = max(dst_reg->min_value, min_val);
-			dst_reg->max_value = dst_reg->var_off.value | dst_reg->var_off.mask;
+			/* ORing two positives gives a positive, so safe to
+			 * cast result into s64.
+			 */
+			dst_reg->smin_value = dst_reg->umin_value;
+			dst_reg->smax_value = dst_reg->umax_value;
 		}
+		/* We may learn something more from the var_off */
+		__update_reg_bounds(dst_reg);
 		break;
 	case BPF_LSH:
-		if (min_val < 0) {
-			/* LSH by a negative number is undefined */
+		if (umax_val > 63) {
+			/* Shifts greater than 63 are undefined.  This includes
+			 * shifts by a negative number.
+			 */
 			mark_reg_unknown(regs, insn->dst_reg);
 			break;
 		}
-		/* Gotta have special overflow logic here, if we're shifting
-		 * more than MAX_RANGE then just assume we have an invalid
-		 * range.
+		/* We lose all sign bit information (except what we can pick
+		 * up from var_off)
 		 */
-		if (min_val > ilog2(BPF_REGISTER_MAX_RANGE)) {
-			dst_reg->min_value = BPF_REGISTER_MIN_RANGE;
-			dst_reg->var_off = tnum_unknown;
+		dst_reg->smin_value = S64_MIN;
+		dst_reg->smax_value = S64_MAX;
+		/* If we might shift our top bit out, then we know nothing */
+		if (dst_reg->umax_value > 1ULL << (63 - umax_val)) {
+			dst_reg->umin_value = 0;
+			dst_reg->umax_value = U64_MAX;
 		} else {
-			if (dst_reg->min_value != BPF_REGISTER_MIN_RANGE)
-				dst_reg->min_value <<= min_val;
-			if (src_known)
-				dst_reg->var_off = tnum_lshift(dst_reg->var_off, min_val);
-			else
-				dst_reg->var_off = tnum_lshift(tnum_unknown, min_val);
+			dst_reg->umin_value <<= umin_val;
+			dst_reg->umax_value <<= umax_val;
 		}
-		if (max_val > ilog2(BPF_REGISTER_MAX_RANGE))
-			dst_reg->max_value = BPF_REGISTER_MAX_RANGE;
-		else if (dst_reg->max_value != BPF_REGISTER_MAX_RANGE)
-			dst_reg->max_value <<= max_val;
+		if (src_known)
+			dst_reg->var_off = tnum_lshift(dst_reg->var_off, umin_val);
+		else
+			dst_reg->var_off = tnum_lshift(tnum_unknown, umin_val);
+		/* We may learn something more from the var_off */
+		__update_reg_bounds(dst_reg);
 		break;
 	case BPF_RSH:
-		if (min_val < 0) {
-			/* RSH by a negative number is undefined */
+		if (umax_val > 63) {
+			/* Shifts greater than 63 are undefined.  This includes
+			 * shifts by a negative number.
+			 */
 			mark_reg_unknown(regs, insn->dst_reg);
 			break;
 		}
 		/* BPF_RSH is an unsigned shift, so make the appropriate casts */
-		if (dst_reg->min_value < 0) {
-			if (min_val)
+		if (dst_reg->smin_value < 0) {
+			if (umin_val) {
 				/* Sign bit will be cleared */
-				dst_reg->min_value = 0;
+				dst_reg->smin_value = 0;
+			} else {
+				/* Lost sign bit information */
+				dst_reg->smin_value = S64_MIN;
+				dst_reg->smax_value = S64_MAX;
+			}
 		} else {
-			dst_reg->min_value =
-				(u64)(dst_reg->min_value) >> min_val;
+			dst_reg->smin_value =
+				(u64)(dst_reg->smin_value) >> umax_val;
 		}
 		if (src_known)
-			dst_reg->var_off = tnum_rshift(dst_reg->var_off, min_val);
+			dst_reg->var_off = tnum_rshift(dst_reg->var_off,
+						       umin_val);
 		else
-			dst_reg->var_off = tnum_rshift(tnum_unknown, min_val);
-		if (dst_reg->max_value == BPF_REGISTER_MAX_RANGE)
-			dst_reg->max_value = ~0;
-		dst_reg->max_value >>= max_val;
+			dst_reg->var_off = tnum_rshift(tnum_unknown, umin_val);
+		dst_reg->umin_value >>= umax_val;
+		dst_reg->umax_value >>= umin_val;
+		/* We may learn something more from the var_off */
+		__update_reg_bounds(dst_reg);
 		break;
 	default:
 		mark_reg_unknown(regs, insn->dst_reg);
 		break;
 	}
 
-	check_reg_overflow(dst_reg);
+	__reg_deduce_bounds(dst_reg);
+	__reg_bound_offset(dst_reg);
 	return 0;
 }
 
@@ -1986,14 +2139,11 @@ static int adjust_reg_min_max_vals(struct bpf_verifier_env *env,
 	int rc;
 
 	dst_reg = &regs[insn->dst_reg];
-	check_reg_overflow(dst_reg);
 	src_reg = NULL;
 	if (dst_reg->type != SCALAR_VALUE)
 		ptr_reg = dst_reg;
 	if (BPF_SRC(insn->code) == BPF_X) {
 		src_reg = &regs[insn->src_reg];
-		check_reg_overflow(src_reg);
-
 		if (src_reg->type != SCALAR_VALUE) {
 			if (dst_reg->type != SCALAR_VALUE) {
 				/* Combining two pointers by any ALU op yields
@@ -2040,9 +2190,7 @@ static int adjust_reg_min_max_vals(struct bpf_verifier_env *env,
 		 * need to be able to read from this state.
 		 */
 		off_reg.type = SCALAR_VALUE;
-		off_reg.var_off = tnum_const(insn->imm);
-		off_reg.min_value = insn->imm;
-		off_reg.max_value = insn->imm;
+		__mark_reg_known(&off_reg, insn->imm);
 		src_reg = &off_reg;
 		if (ptr_reg) { /* pointer += K */
 			rc = adjust_ptr_min_max_vals(env, insn,
@@ -2148,22 +2296,17 @@ static int check_alu_op(struct bpf_verifier_env *env, struct bpf_insn *insn)
 					return -EACCES;
 				}
 				mark_reg_unknown(regs, insn->dst_reg);
-				/* high 32 bits are known zero.  But this is
-				 * still out of range for max_value, so leave
-				 * that.
-				 */
+				/* high 32 bits are known zero. */
 				regs[insn->dst_reg].var_off = tnum_cast(
 						regs[insn->dst_reg].var_off, 4);
+				__update_reg_bounds(&regs[insn->dst_reg]);
 			}
 		} else {
 			/* case: R = imm
 			 * remember the value we stored into this reg
 			 */
 			regs[insn->dst_reg].type = SCALAR_VALUE;
-			regs[insn->dst_reg].var_off = tnum_const(insn->imm);
-			regs[insn->dst_reg].max_value = insn->imm;
-			regs[insn->dst_reg].min_value = insn->imm;
-			regs[insn->dst_reg].id = 0;
+			__mark_reg_known(regs + insn->dst_reg, insn->imm);
 		}
 
 	} else if (opcode > BPF_END) {
@@ -2230,8 +2373,8 @@ static void find_good_pkt_pointers(struct bpf_verifier_state *state,
 		/* This doesn't give us any range */
 		return;
 
-	if (dst_reg->max_value > MAX_PACKET_OFF ||
-	    dst_reg->max_value + dst_reg->off > MAX_PACKET_OFF)
+	if (dst_reg->umax_value > MAX_PACKET_OFF ||
+	    dst_reg->umax_value + dst_reg->off > MAX_PACKET_OFF)
 		/* Risk of overflow.  For instance, ptr + (1<<63) may be less
 		 * than pkt_end, but that's because it's also less than pkt.
 		 */
@@ -2295,8 +2438,6 @@ static void reg_set_min_max(struct bpf_reg_state *true_reg,
 			    struct bpf_reg_state *false_reg, u64 val,
 			    u8 opcode)
 {
-	bool value_from_signed = true;
-
 	/* If the dst_reg is a pointer, we can't learn anything about its
 	 * variable offset from the compare (unless src_reg were a pointer into
 	 * the same object, but we don't bother with that.
@@ -2311,62 +2452,45 @@ static void reg_set_min_max(struct bpf_reg_state *true_reg,
 		/* If this is false then we know nothing Jon Snow, but if it is
 		 * true then we know for sure.
 		 */
-		true_reg->max_value = true_reg->min_value = val;
-		true_reg->var_off = tnum_const(val);
+		__mark_reg_known(true_reg, val);
 		break;
 	case BPF_JNE:
 		/* If this is true we know nothing Jon Snow, but if it is false
 		 * we know the value for sure;
 		 */
-		false_reg->max_value = false_reg->min_value = val;
-		false_reg->var_off = tnum_const(val);
+		__mark_reg_known(false_reg, val);
 		break;
 	case BPF_JGT:
-		value_from_signed = false;
-		/* fallthrough */
+		false_reg->umax_value = min(false_reg->umax_value, val);
+		true_reg->umin_value = max(true_reg->umin_value, val + 1);
+		break;
 	case BPF_JSGT:
-		if (true_reg->value_from_signed != value_from_signed)
-			reset_reg_range_values(true_reg, 0);
-		if (false_reg->value_from_signed != value_from_signed)
-			reset_reg_range_values(false_reg, 0);
-		if (opcode == BPF_JGT) {
-			/* Unsigned comparison, the minimum value is 0. */
-			false_reg->min_value = 0;
-		}
-		/* If this is false then we know the maximum val is val,
-		 * otherwise we know the min val is val+1.
-		 */
-		false_reg->max_value = val;
-		false_reg->value_from_signed = value_from_signed;
-		true_reg->min_value = val + 1;
-		true_reg->value_from_signed = value_from_signed;
+		false_reg->smax_value = min_t(s64, false_reg->smax_value, val);
+		true_reg->smin_value = max_t(s64, true_reg->smin_value, val + 1);
 		break;
 	case BPF_JGE:
-		value_from_signed = false;
-		/* fallthrough */
+		false_reg->umax_value = min(false_reg->umax_value, val - 1);
+		true_reg->umin_value = max(true_reg->umin_value, val);
+		break;
 	case BPF_JSGE:
-		if (true_reg->value_from_signed != value_from_signed)
-			reset_reg_range_values(true_reg, 0);
-		if (false_reg->value_from_signed != value_from_signed)
-			reset_reg_range_values(false_reg, 0);
-		if (opcode == BPF_JGE) {
-			/* Unsigned comparison, the minimum value is 0. */
-			false_reg->min_value = 0;
-		}
-		/* If this is false then we know the maximum value is val - 1,
-		 * otherwise we know the mimimum value is val.
-		 */
-		false_reg->max_value = val - 1;
-		false_reg->value_from_signed = value_from_signed;
-		true_reg->min_value = val;
-		true_reg->value_from_signed = value_from_signed;
+		false_reg->smax_value = min_t(s64, false_reg->smax_value, val - 1);
+		true_reg->smin_value = max_t(s64, true_reg->smin_value, val);
 		break;
 	default:
 		break;
 	}
 
-	check_reg_overflow(false_reg);
-	check_reg_overflow(true_reg);
+	__reg_deduce_bounds(false_reg);
+	__reg_deduce_bounds(true_reg);
+	/* We might have learned some bits from the bounds. */
+	__reg_bound_offset(false_reg);
+	__reg_bound_offset(true_reg);
+	/* Intersecting with the old var_off might have improved our bounds
+	 * slightly.  e.g. if umax was 0x7f...f and var_off was (0; 0xf...fc),
+	 * then new var_off is (0; 0x7f...fc) which improves our umax.
+	 */
+	__update_reg_bounds(false_reg);
+	__update_reg_bounds(true_reg);
 }
 
 /* Same as above, but for the case that dst_reg holds a constant and src_reg is
@@ -2376,8 +2500,6 @@ static void reg_set_min_max_inv(struct bpf_reg_state *true_reg,
 				struct bpf_reg_state *false_reg, u64 val,
 				u8 opcode)
 {
-	bool value_from_signed = true;
-
 	if (__is_pointer_value(false, false_reg))
 		return;
 
@@ -2386,77 +2508,76 @@ static void reg_set_min_max_inv(struct bpf_reg_state *true_reg,
 		/* If this is false then we know nothing Jon Snow, but if it is
 		 * true then we know for sure.
 		 */
-		true_reg->max_value = true_reg->min_value = val;
-		true_reg->var_off = tnum_const(val);
+		__mark_reg_known(true_reg, val);
 		break;
 	case BPF_JNE:
 		/* If this is true we know nothing Jon Snow, but if it is false
 		 * we know the value for sure;
 		 */
-		false_reg->max_value = false_reg->min_value = val;
-		false_reg->var_off = tnum_const(val);
+		__mark_reg_known(false_reg, val);
 		break;
 	case BPF_JGT:
-		value_from_signed = false;
-		/* fallthrough */
+		true_reg->umax_value = min(true_reg->umax_value, val - 1);
+		false_reg->umin_value = max(false_reg->umin_value, val);
+		break;
 	case BPF_JSGT:
-		if (true_reg->value_from_signed != value_from_signed)
-			reset_reg_range_values(true_reg, 0);
-		if (false_reg->value_from_signed != value_from_signed)
-			reset_reg_range_values(false_reg, 0);
-		if (opcode == BPF_JGT) {
-			/* Unsigned comparison, the minimum value is 0. */
-			true_reg->min_value = 0;
-		}
-		/*
-		 * If this is false, then the val is <= the register, if it is
-		 * true the register <= to the val.
-		 */
-		false_reg->min_value = val;
-		false_reg->value_from_signed = value_from_signed;
-		true_reg->max_value = val - 1;
-		true_reg->value_from_signed = value_from_signed;
+		true_reg->smax_value = min_t(s64, true_reg->smax_value, val - 1);
+		false_reg->smin_value = max_t(s64, false_reg->smin_value, val);
 		break;
 	case BPF_JGE:
-		value_from_signed = false;
-		/* fallthrough */
+		true_reg->umax_value = min(true_reg->umax_value, val);
+		false_reg->umin_value = max(false_reg->umin_value, val + 1);
+		break;
 	case BPF_JSGE:
-		if (true_reg->value_from_signed != value_from_signed)
-			reset_reg_range_values(true_reg, 0);
-		if (false_reg->value_from_signed != value_from_signed)
-			reset_reg_range_values(false_reg, 0);
-		if (opcode == BPF_JGE) {
-			/* Unsigned comparison, the minimum value is 0. */
-			true_reg->min_value = 0;
-		}
-		/* If this is false then constant < register, if it is true then
-		 * the register < constant.
-		 */
-		false_reg->min_value = val + 1;
-		false_reg->value_from_signed = value_from_signed;
-		true_reg->max_value = val;
-		true_reg->value_from_signed = value_from_signed;
+		true_reg->smax_value = min_t(s64, true_reg->smax_value, val);
+		false_reg->smin_value = max_t(s64, false_reg->smin_value, val + 1);
 		break;
 	default:
 		break;
 	}
 
-	check_reg_overflow(false_reg);
-	check_reg_overflow(true_reg);
+	__reg_deduce_bounds(false_reg);
+	__reg_deduce_bounds(true_reg);
+	/* We might have learned some bits from the bounds. */
+	__reg_bound_offset(false_reg);
+	__reg_bound_offset(true_reg);
+	/* Intersecting with the old var_off might have improved our bounds
+	 * slightly.  e.g. if umax was 0x7f...f and var_off was (0; 0xf...fc),
+	 * then new var_off is (0; 0x7f...fc) which improves our umax.
+	 */
+	__update_reg_bounds(false_reg);
+	__update_reg_bounds(true_reg);
 }
 
 /* Regs are known to be equal, so intersect their min/max/var_off */
 static void __reg_combine_min_max(struct bpf_reg_state *src_reg,
 				  struct bpf_reg_state *dst_reg)
 {
-	src_reg->min_value = dst_reg->min_value = max(src_reg->min_value,
-						      dst_reg->min_value);
-	src_reg->max_value = dst_reg->max_value = min(src_reg->max_value,
-						      dst_reg->max_value);
+	src_reg->umin_value = dst_reg->umin_value = max(src_reg->umin_value,
+							dst_reg->umin_value);
+	src_reg->umax_value = dst_reg->umax_value = min(src_reg->umax_value,
+							dst_reg->umax_value);
+	src_reg->smin_value = dst_reg->smin_value = max(src_reg->smin_value,
+							dst_reg->smin_value);
+	src_reg->smax_value = dst_reg->smax_value = min(src_reg->smax_value,
+							dst_reg->smax_value);
 	src_reg->var_off = dst_reg->var_off = tnum_intersect(src_reg->var_off,
 							     dst_reg->var_off);
-	check_reg_overflow(src_reg);
-	check_reg_overflow(dst_reg);
+	/* We might have learned new bounds from the var_off. */
+	__update_reg_bounds(src_reg);
+	__update_reg_bounds(dst_reg);
+	/* We might have learned something about the sign bit. */
+	__reg_deduce_bounds(src_reg);
+	__reg_deduce_bounds(dst_reg);
+	/* We might have learned some bits from the bounds. */
+	__reg_bound_offset(src_reg);
+	__reg_bound_offset(dst_reg);
+	/* Intersecting with the old var_off might have improved our bounds
+	 * slightly.  e.g. if umax was 0x7f...f and var_off was (0; 0xf...fc),
+	 * then new var_off is (0; 0x7f...fc) which improves our umax.
+	 */
+	__update_reg_bounds(src_reg);
+	__update_reg_bounds(dst_reg);
 }
 
 static void reg_combine_min_max(struct bpf_reg_state *true_src,
@@ -2471,6 +2592,7 @@ static void reg_combine_min_max(struct bpf_reg_state *true_src,
 		break;
 	case BPF_JNE:
 		__reg_combine_min_max(false_src, false_dst);
+		break;
 	}
 }
 
@@ -2484,11 +2606,11 @@ static void mark_map_reg(struct bpf_reg_state *regs, u32 regno, u32 id,
 		 * have been known-zero, because we don't allow pointer
 		 * arithmetic on pointers that might be NULL.
 		 */
-		if (WARN_ON_ONCE(reg->min_value || reg->max_value ||
-				 reg->var_off.value || reg->var_off.mask ||
+		if (WARN_ON_ONCE(reg->smin_value || reg->smax_value ||
+				 !tnum_equals_const(reg->var_off, 0) ||
 				 reg->off)) {
-			reg->min_value = reg->max_value = reg->off = 0;
-			reg->var_off = tnum_const(0);
+			__mark_reg_known_zero(reg);
+			reg->off = 0;
 		}
 		if (is_null) {
 			reg->type = SCALAR_VALUE;
@@ -2680,11 +2802,7 @@ static int check_ld_imm(struct bpf_verifier_env *env, struct bpf_insn *insn)
 		u64 imm = ((u64)(insn + 1)->imm << 32) | (u32)insn->imm;
 
 		regs[insn->dst_reg].type = SCALAR_VALUE;
-		regs[insn->dst_reg].min_value = imm;
-		regs[insn->dst_reg].max_value = imm;
-		check_reg_overflow(&regs[insn->dst_reg]);
-		regs[insn->dst_reg].var_off = tnum_const(imm);
-		regs[insn->dst_reg].id = 0;
+		__mark_reg_known(&regs[insn->dst_reg], imm);
 		return 0;
 	}
 
@@ -2972,8 +3090,10 @@ static int check_cfg(struct bpf_verifier_env *env)
 static bool range_within(struct bpf_reg_state *old,
 			 struct bpf_reg_state *cur)
 {
-	return old->min_value <= cur->min_value &&
-	       old->max_value >= cur->max_value;
+	return old->umin_value <= cur->umin_value &&
+	       old->umax_value >= cur->umax_value &&
+	       old->smin_value <= cur->smin_value &&
+	       old->smax_value >= cur->smax_value;
 }
 
 /* Maximum number of register states that can exist at once */
@@ -3036,8 +3156,10 @@ static bool regsafe(struct bpf_reg_state *rold,
 			 * equal, because we can't know anything about the
 			 * scalar value of the pointer in the new value.
 			 */
-			return rold->min_value == BPF_REGISTER_MIN_RANGE &&
-			       rold->max_value == BPF_REGISTER_MAX_RANGE &&
+			return rold->umin_value == 0 &&
+			       rold->umax_value == U64_MAX &&
+			       rold->smin_value == S64_MIN &&
+			       rold->smax_value == S64_MAX &&
 			       tnum_is_unknown(rold->var_off);
 		}
 	case PTR_TO_MAP_VALUE:
