Start experimenting with full generation of all of the numeric types.

Previously, we used a little bit of generation to drive a lot of Rust
macros. This works, but it's a little confusing to read and write. In
addition, we used a lot of implementations with variable timings based
on their input, which isn't great for crypto. This is the start of an
attempt to just generate all of the relevant Rust code directly, and to
use timing-channel resistant implementations for most of the routines.

old/signed/div.rs

@@ -0,0 +1,156 @@
+macro_rules! div_impls
+{
+    ($name: ident, $uname: ident) => {
+        impl DivAssign<$name> for $name {
+            fn div_assign(&mut self, rhs: $name) {
+                self.div_assign(&rhs);
+            }
+        }
+
+        impl<'a> DivAssign<&'a $name> for $name {
+            fn div_assign(&mut self, rhs: &$name) {
+                let (q,r) = self.value.divmod(&rhs.value);
+                if self.negative ^ rhs.negative {
+                    self.value.value.copy_from_slice(&q.value);
+                    if !r.is_zero() {
+                        self.value += $uname::from(1u64);
+                    }
+                    self.negative = !self.value.is_zero();
+                } else {
+                    self.value.value.copy_from_slice(&q.value);
+                    self.negative = false;
+                }
+            }
+        }
+
+        impl Div<$name> for $name {
+            type Output = $name;
+
+            fn div(self, rhs: $name) -> $name
+            {
+                &self / &rhs
+            }
+        }
+
+        impl<'a> Div<&'a $name> for $name {
+            type Output = $name;
+
+            fn div(self, rhs: &$name) -> $name
+            {
+                &self / rhs
+            }
+        }
+
+        impl<'a> Div<$name> for &'a $name {
+            type Output = $name;
+
+            fn div(self, rhs: $name) -> $name
+            {
+                self / &rhs
+            }
+        }
+
+        impl<'a,'b> Div<&'a $name> for &'b $name {
+            type Output = $name;
+
+            fn div(self, rhs: &$name) -> $name
+            {
+                let mut outval = self.clone();
+                outval /= rhs;
+                outval
+            }
+        }
+
+        impl RemAssign<$name> for $name {
+            fn rem_assign(&mut self, rhs: $name) {
+                self.rem_assign(&rhs);
+            }
+        }
+
+        impl<'a> RemAssign<&'a $name> for $name {
+            fn rem_assign(&mut self, rhs: &$name) {
+                if rhs.negative != self.negative {
+                    self.negative = !self.negative;
+                    let modres = &self.value % &rhs.value;
+                    self.value.value.copy_from_slice(&rhs.value.value);
+                    self.value -= modres;
+                } else {
+                    self.value %= &rhs.value;
+                }
+            }
+        }
+
+        impl Rem<$name> for $name {
+            type Output = $name;
+
+            fn rem(self, rhs: $name) -> $name
+            {
+                &self % &rhs
+            }
+        }
+
+        impl<'a> Rem<&'a $name> for $name {
+            type Output = $name;
+
+            fn rem(self, rhs: &$name) -> $name
+            {
+                &self % rhs
+            }
+        }
+
+        impl<'a> Rem<$name> for &'a $name {
+            type Output = $name;
+
+            fn rem(self, rhs: $name) -> $name
+            {
+                self % &rhs
+            }
+        }
+
+        impl<'a,'b> Rem<&'a $name> for &'b $name {
+            type Output = $name;
+
+            fn rem(self, rhs: &$name) -> $name
+            {
+                let mut outval = self.clone();
+                outval %= rhs;
+                outval
+            }
+        }
+     }
+}
+
+#[cfg(test)]
+macro_rules! generate_sigdiv_tests {
+    ($sname: ident, $name: ident, $lname: ident) => {
+        #[test]
+        fn $lname() {
+            generate_sigdiv_tests!(body $sname, $name);
+        }
+    };
+    (ignore $sname: ident, $name: ident, $lname: ident) => {
+        #[test]
+        #[ignore]
+        fn $lname() {
+            generate_sigdiv_tests!(body $sname, $name);
+        }
+    };
+    (body $sname: ident, $name: ident) => {
+        let fname = build_test_path("sigdiv", stringify!($sname));
+        run_test(fname.to_string(), 4, |case| {
+            let (nega, abytes) = case.get("a").unwrap();
+            let (negb, bbytes) = case.get("b").unwrap();
+            let (negq, qbytes) = case.get("q").unwrap();
+            let (negr, rbytes) = case.get("r").unwrap();
+
+            let a = $sname::new(*nega, $name::from_bytes(abytes));
+            let b = $sname::new(*negb, $name::from_bytes(bbytes));
+            let q = $sname::new(*negq, $name::from_bytes(qbytes));
+            let r = $sname::new(*negr, $name::from_bytes(rbytes));
+            let d = &a / &b;
+            let m = &a % &b;
+            assert_eq!(q, d, "base div");
+            assert_eq!(r, m, "base mod");
+        });
+    };
+}