Merge #937: Have ge_set_gej_var, gej_double_var and ge_set_all_gej_var initialize all fields of their outputs.

14c9739a1f tests: Improve secp256k1_ge_set_all_gej_var for some infinity inputs (Tim Ruffing)
4a19668c37 tests: Test secp256k1_ge_set_all_gej_var for all infinity inputs (Tim Ruffing)
45b6468d7e Have secp256k1_ge_set_all_gej_var initialize all fields. Previous behaviour would not initialize r->y values in the case where infinity is passed in. Furthermore, the previous behaviour wouldn't initialize anything in the case where all inputs were infinity. (Russell O'Connor)
31c0f6de41 Have secp256k1_gej_double_var initialize all fields. Previous behaviour would not initialize r->x and r->y values in the case where infinity is passed in. (Russell O'Connor)
dd6c3de322 Have secp256k1_ge_set_gej_var initialize all fields. Previous behaviour would not initialize r->x and r->y values in the case where infinity is passed in. (Russell O'Connor)

Pull request description:

  Previous behaviour would not initialize `r->x` and `r->y` values in the case where infinity is passed in.

ACKs for top commit:
  gmaxwell:
    ACK 14c9739a1f
  sipa:
    utACK 14c9739a1f
  real-or-random:
    ACK 14c9739a1f

Tree-SHA512: 2e779b767f02e348af4bbc62aa9871c3d1d29e61a6c643c879c49f2de27556a3588850acd2f7c7483790677597d01064025e14befdbf29e783f57996fe4430f9

src/group_impl.h

@@ -100,8 +100,8 @@ static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a) {
 
 static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a) {
     secp256k1_fe z2, z3;
-    r->infinity = a->infinity;
     if (a->infinity) {
+        secp256k1_ge_set_infinity(r);
         return;
     }
     secp256k1_fe_inv_var(&a->z, &a->z);
@@ -110,8 +110,7 @@ static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a) {
     secp256k1_fe_mul(&a->x, &a->x, &z2);
     secp256k1_fe_mul(&a->y, &a->y, &z3);
     secp256k1_fe_set_int(&a->z, 1);
-    r->x = a->x;
+    secp256k1_ge_set_xy(r, &a->x, &a->y);
-    r->y = a->y;
 }
 
 static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len) {
@@ -120,7 +119,9 @@ static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a
     size_t last_i = SIZE_MAX;
 
     for (i = 0; i < len; i++) {
-        if (!a[i].infinity) {
+        if (a[i].infinity) {
+            secp256k1_ge_set_infinity(&r[i]);
+        } else {
             /* Use destination's x coordinates as scratch space */
             if (last_i == SIZE_MAX) {
                 r[i].x = a[i].z;
@@ -148,7 +149,6 @@ static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a
     r[last_i].x = u;
 
     for (i = 0; i < len; i++) {
-        r[i].infinity = a[i].infinity;
         if (!a[i].infinity) {
             secp256k1_ge_set_gej_zinv(&r[i], &a[i], &r[i].x);
         }
@@ -311,7 +311,7 @@ static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, s
      *  point will be gibberish (z = 0 but infinity = 0).
      */
     if (a->infinity) {
-        r->infinity = 1;
+        secp256k1_gej_set_infinity(r);
         if (rzr != NULL) {
             secp256k1_fe_set_int(rzr, 1);
         }

src/tests.c

@@ -3101,20 +3101,34 @@ void test_ge(void) {
 
     /* Test batch gej -> ge conversion with many infinities. */
     for (i = 0; i < 4 * runs + 1; i++) {
+        int odd;
         random_group_element_test(&ge[i]);
+        odd = secp256k1_fe_is_odd(&ge[i].x);
+        CHECK(odd == 0 || odd == 1);
         /* randomly set half the points to infinity */
-        if(secp256k1_fe_is_odd(&ge[i].x)) {
+        if (odd == i % 2) {
             secp256k1_ge_set_infinity(&ge[i]);
         }
         secp256k1_gej_set_ge(&gej[i], &ge[i]);
     }
-    /* batch invert */
+    /* batch convert */
     secp256k1_ge_set_all_gej_var(ge, gej, 4 * runs + 1);
     /* check result */
     for (i = 0; i < 4 * runs + 1; i++) {
         ge_equals_gej(&ge[i], &gej[i]);
     }
 
+    /* Test batch gej -> ge conversion with all infinities. */
+    for (i = 0; i < 4 * runs + 1; i++) {
+        secp256k1_gej_set_infinity(&gej[i]);
+    }
+    /* batch convert */
+    secp256k1_ge_set_all_gej_var(ge, gej, 4 * runs + 1);
+    /* check result */
+    for (i = 0; i < 4 * runs + 1; i++) {
+        CHECK(secp256k1_ge_is_infinity(&ge[i]));
+    }
+
     free(ge);
     free(gej);
 }