diff --git a/src/core/math.d b/src/core/math.d
index d10eb9113d..9182ae1acb 100644
--- a/src/core/math.d
+++ b/src/core/math.d
@@ -138,10 +138,10 @@ version (LDC)
                 asm
                 {
                     naked;
-                    push RCX;                // push exp (8 bytes), passed in ECX
+                    push RDX;                // push exp (8 bytes), passed in EDX
                     fild int ptr [RSP];      // push exp onto FPU stack
-                    pop RCX;                 // return stack to initial state
-                    fld real ptr [RDX];      // push n   onto FPU stack, passed in [RDX]
+                    pop RDX;                 // return stack to initial state
+                    fld real ptr [RCX];      // push n   onto FPU stack, passed in [RCX]
                     fscale;                  // ST(0) = ST(0) * 2^ST(1)
                     fstp ST(1);              // pop stack maintaining top value => function return value
                     ret;                     // no arguments passed via stack
diff --git a/src/object.d b/src/object.d
index 0be888d296..c9a0b301a2 100644
--- a/src/object.d
+++ b/src/object.d
@@ -1057,7 +1057,7 @@ class TypeInfo_Struct : TypeInfo
                 if (!p2)
                     return true;
                 else if (xopCmp)
-                    return (*xopCmp)(p2, p1);
+                    return (*xopCmp)(p1, p2);
                 else
                     // BUG: relies on the GC not moving objects
                     return memcmp(p1, p2, init().length);
@@ -1101,10 +1101,21 @@ class TypeInfo_Struct : TypeInfo
 
   @safe pure nothrow
   {
-    size_t   function(in void*)           xtoHash;
-    bool     function(in void*, in void*) xopEquals;
-    int      function(in void*, in void*) xopCmp;
-    string   function(in void*)           xtoString;
+    size_t          function(in void*)           xtoHash;
+    /* The xopEquals and xopCmp function pointers usually point to the struct's
+     * opEquals and opCmp methods. If the method doesn't take its single
+     * argument by reference, the front-end injects a static __xopEquals/
+     * __xopCmp function (taking 2 arguments, lhs `p` and rhs `q`).
+     *
+     * In the method case, lhs `p` is the `this` argument and must be passed
+     * as first argument before rhs `q`.
+     * Enforce this arguments order by marking the pointed-to functions as
+     * using the C calling convention, for which the arguments are never
+     * reversed (contrary to `extern (D)`).
+     */
+    extern (C) bool function(in void*, in void*) xopEquals;
+    extern (C) int  function(in void*, in void*) xopCmp;
+    string          function(in void*)           xtoString;
 
     enum StructFlags : uint
     {