v4.19.13 snapshot.
diff --git a/kernel/bpf/tnum.c b/kernel/bpf/tnum.c
new file mode 100644
index 0000000..938d412
--- /dev/null
+++ b/kernel/bpf/tnum.c
@@ -0,0 +1,190 @@
+/* tnum: tracked (or tristate) numbers
+ *
+ * A tnum tracks knowledge about the bits of a value. Each bit can be either
+ * known (0 or 1), or unknown (x). Arithmetic operations on tnums will
+ * propagate the unknown bits such that the tnum result represents all the
+ * possible results for possible values of the operands.
+ */
+#include <linux/kernel.h>
+#include <linux/tnum.h>
+
+#define TNUM(_v, _m) (struct tnum){.value = _v, .mask = _m}
+/* A completely unknown value */
+const struct tnum tnum_unknown = { .value = 0, .mask = -1 };
+
+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);
+}
+
+struct tnum tnum_rshift(struct tnum a, u8 shift)
+{
+ return TNUM(a.value >> shift, a.mask >> shift);
+}
+
+struct tnum tnum_arshift(struct tnum a, u8 min_shift)
+{
+ /* if a.value is negative, arithmetic shifting by minimum shift
+ * will have larger negative offset compared to more shifting.
+ * If a.value is nonnegative, arithmetic shifting by minimum shift
+ * will have larger positive offset compare to more shifting.
+ */
+ return TNUM((s64)a.value >> min_shift, (s64)a.mask >> min_shift);
+}
+
+struct tnum tnum_add(struct tnum a, struct tnum b)
+{
+ u64 sm, sv, sigma, chi, mu;
+
+ sm = a.mask + b.mask;
+ sv = a.value + b.value;
+ sigma = sm + sv;
+ chi = sigma ^ sv;
+ mu = chi | a.mask | b.mask;
+ return TNUM(sv & ~mu, mu);
+}
+
+struct tnum tnum_sub(struct tnum a, struct tnum b)
+{
+ u64 dv, alpha, beta, chi, mu;
+
+ dv = a.value - b.value;
+ alpha = dv + a.mask;
+ beta = dv - b.mask;
+ chi = alpha ^ beta;
+ mu = chi | a.mask | b.mask;
+ return TNUM(dv & ~mu, mu);
+}
+
+struct tnum tnum_and(struct tnum a, struct tnum b)
+{
+ u64 alpha, beta, v;
+
+ alpha = a.value | a.mask;
+ beta = b.value | b.mask;
+ v = a.value & b.value;
+ return TNUM(v, alpha & beta & ~v);
+}
+
+struct tnum tnum_or(struct tnum a, struct tnum b)
+{
+ u64 v, mu;
+
+ v = a.value | b.value;
+ mu = a.mask | b.mask;
+ return TNUM(v, mu & ~v);
+}
+
+struct tnum tnum_xor(struct tnum a, struct tnum b)
+{
+ u64 v, mu;
+
+ v = a.value ^ b.value;
+ mu = a.mask | b.mask;
+ return TNUM(v & ~mu, mu);
+}
+
+/* half-multiply add: acc += (unknown * mask * value).
+ * An intermediate step in the multiply algorithm.
+ */
+static struct tnum hma(struct tnum acc, u64 value, u64 mask)
+{
+ while (mask) {
+ if (mask & 1)
+ acc = tnum_add(acc, TNUM(0, value));
+ mask >>= 1;
+ value <<= 1;
+ }
+ return acc;
+}
+
+struct tnum tnum_mul(struct tnum a, struct tnum b)
+{
+ struct tnum acc;
+ u64 pi;
+
+ pi = a.value * b.value;
+ acc = hma(TNUM(pi, 0), a.mask, b.mask | b.value);
+ return hma(acc, b.mask, a.value);
+}
+
+/* Note that if a and b disagree - i.e. one has a 'known 1' where the other has
+ * a 'known 0' - this will return a 'known 1' for that bit.
+ */
+struct tnum tnum_intersect(struct tnum a, struct tnum b)
+{
+ u64 v, mu;
+
+ v = a.value | b.value;
+ mu = a.mask & b.mask;
+ return TNUM(v & ~mu, mu);
+}
+
+struct tnum tnum_cast(struct tnum a, u8 size)
+{
+ a.value &= (1ULL << (size * 8)) - 1;
+ a.mask &= (1ULL << (size * 8)) - 1;
+ return a;
+}
+
+bool tnum_is_aligned(struct tnum a, u64 size)
+{
+ if (!size)
+ return true;
+ return !((a.value | a.mask) & (size - 1));
+}
+
+bool tnum_in(struct tnum a, struct tnum b)
+{
+ if (b.mask & ~a.mask)
+ return false;
+ b.value &= ~a.mask;
+ return a.value == b.value;
+}
+
+int tnum_strn(char *str, size_t size, struct tnum a)
+{
+ return snprintf(str, size, "(%#llx; %#llx)", a.value, a.mask);
+}
+EXPORT_SYMBOL_GPL(tnum_strn);
+
+int tnum_sbin(char *str, size_t size, struct tnum a)
+{
+ size_t n;
+
+ for (n = 64; n; n--) {
+ if (n < size) {
+ if (a.mask & 1)
+ str[n - 1] = 'x';
+ else if (a.value & 1)
+ str[n - 1] = '1';
+ else
+ str[n - 1] = '0';
+ }
+ a.mask >>= 1;
+ a.value >>= 1;
+ }
+ str[min(size - 1, (size_t)64)] = 0;
+ return 64;
+}