diff --git a/Include/LogicLib.nsh b/Include/LogicLib.nsh
index 0646a385..cab15b4b 100644
--- a/Include/LogicLib.nsh
+++ b/Include/LogicLib.nsh
@@ -55,7 +55,7 @@
 ;       ptrdiff_t integer tests
 ;         a P= b; a P<> b; a P< b; a P>= b; a P> b; a P<= b
 ;       size_t integer tests
-;         a Z= b; a Z<> b
+;         a Z= b; a Z<> b; a Z< b; a Z>= b; a Z> b; a Z<= b
 ;       Built-in NSIS flag tests:
 ;         ${Abort}; ${Errors}; ${RebootFlag}; ${Silent}
 ;       Built-in NSIS other tests:
@@ -281,26 +281,25 @@
   !macro _P<= _a _b _t _f
     !insertmacro LogicLib_PtrDiffTest <= `${_a}` `${_b}` `${_t}` `${_f}`
   !macroend
+  !include Util.nsh
   !macro _Z= _a _b _t _f
     !insertmacro LogicLib_PtrDiffTest = `${_a}` `${_b}` `${_t}` `${_f}`
   !macroend
   !macro _Z<> _a _b _t _f
     !insertmacro LogicLib_PtrDiffTest <> `${_a}` `${_b}` `${_t}` `${_f}`
   !macroend
-!if "${NSIS_PTR_SIZE}" <= 4 ; BUGBUG: System::Int64Op does not support unsigned operations!
   !macro _Z< _a _b _t _f
-    !insertmacro _U< `${_a}` `${_b}` `${_t}` `${_f}`
+    !insertmacro IntPtrCmpU `${_a}` `${_b}` `${_f}` `${_t}` `${_f}`
   !macroend
   !macro _Z>= _a _b _t _f
-    !insertmacro _U>= `${_a}` `${_b}` `${_t}` `${_f}`
+    !insertmacro IntPtrCmpU `${_a}` `${_b}` `${_t}` `${_f}` `${_t}`
   !macroend
   !macro _Z> _a _b _t _f
-    !insertmacro _U> `${_a}` `${_b}` `${_t}` `${_f}`
+    !insertmacro IntPtrCmpU `${_a}` `${_b}` `${_f}` `${_f}` `${_t}`
   !macroend
   !macro _Z<= _a _b _t _f
-    !insertmacro _U<= `${_a}` `${_b}` `${_t}` `${_f}`
+    !insertmacro IntPtrCmpU `${_a}` `${_b}` `${_t}` `${_t}` `${_f}`
   !macroend
-!endif
 
   ; Flag tests
   !macro _Abort _a _b _t _f
diff --git a/Include/Util.nsh b/Include/Util.nsh
index 58d67cfe..8755bff8 100644
--- a/Include/Util.nsh
+++ b/Include/Util.nsh
@@ -47,20 +47,23 @@
 !define IntPtrOp '!insertmacro IntPtrOp '
 !macro Int32Op r a o b
 !if ${NSIS_PTR_SIZE} <= 4
-  IntOp ${r} ${a} ${o} ${b}
+  IntOp `${r}` `${a}` `${o}` ${b}
 !else
   !error "Int32Op not implemented"
 !endif
 !macroend
 !macro Int64Op r a o b
-System::Int64Op ${a} ${o} ${b}
+!echo "Int64Op ${r}=${a}${o}${b}"
+!verbose push 2
+System::Int64Op `${a}` `${o}` ${b}
 Pop ${r}
+!verbose pop
 !macroend
 !macro IntPtrOp r a o b
 !if ${NSIS_PTR_SIZE} <= 4
-  ${Int32Op} ${r} ${a} ${o} "${b}"
+  ${Int32Op} `${r}` `${a}` `${o}` `${b}`
 !else
-  ${Int64Op} ${r} ${a} ${o} "${b}"
+  ${Int64Op} `${r}` `${a}` `${o}` `${b}`
 !endif
 !macroend
 
@@ -69,7 +72,7 @@ Pop ${r}
 !define IntPtrCmp '!insertmacro IntPtrCmp '
 !macro Int32Cmp a b jeek jles jgtr
 !if ${NSIS_PTR_SIZE} <= 4
-  IntCmp ${a} ${b} "${jeek}" "${jles}" "${jgtr}"
+  IntCmp `${a}` `${b}` `${jeek}` `${jles}` `${jgtr}`
 !else
   !error "Int32Cmp not implemented"
 !endif
@@ -78,17 +81,17 @@ Pop ${r}
 !ifmacrondef _LOGICLIB_TEMP
 !include LogicLib.nsh
 !endif
-!echo "Int64Cmp ${a} ${b} ${jeek} ${jles} ${jgtr}"
+!echo "Int64Cmp ${a}:${b} =${jeek}, <${jles}, >${jgtr}"
 !verbose push 2
 ${IfThen} ${a} L= ${b} ${|} Goto ${jeek} ${|}
-!insertmacro _L< ${a} ${b} ${jles} ${jgtr}
+!insertmacro _L< ${a} ${b} `${jles}` `${jgtr}`
 !verbose pop
 !macroend
 !macro IntPtrCmp a b jeek jles jgtr
 !if ${NSIS_PTR_SIZE} <= 4
-  ${Int32Cmp} ${a} ${b} ${jeek} ${jles} ${jgtr}
+  ${Int32Cmp} `${a}` `${b}` `${jeek}` `${jles}` `${jgtr}`
 !else
-  ${Int64Cmp} ${a} ${b} ${jeek} ${jles} ${jgtr}
+  ${Int64Cmp} `${a}` `${b}` `${jeek}` `${jles}` `${jgtr}`
 !endif
 !macroend
 
@@ -97,32 +100,71 @@ ${IfThen} ${a} L= ${b} ${|} Goto ${jeek} ${|}
 !define IntPtrCmpU '!insertmacro IntPtrCmpU '
 !macro Int32CmpU a b jeek jles jgtr
 !if ${NSIS_PTR_SIZE} <= 4
-  IntCmpU ${a} ${b} "${jeek}" "${jles}" "${jgtr}"
+  IntCmpU `${a}` `${b}` `${jeek}` `${jles}` `${jgtr}`
 !else
   !error "Int32CmpU not implemented"
 !endif
 !macroend
-!macro Int64CmpU a b jeek jles jgtr
+!macro Int64CmpUHelper
+; This macro performs "$_LOGICLIB_TEMP = a < b ? -1 : a > b ? 1 : 0" but System::Int64Op does not support unsigned operations so we have to perform multiple steps
 !ifmacrondef _LOGICLIB_TEMP
 !include LogicLib.nsh
 !endif
-!echo "Int64CmpU ${a} ${b} ${jeek} ${jles} ${jgtr}"
-!verbose push 2
 !insertmacro _LOGICLIB_TEMP
-${IfThen} ${a} L= ${b} ${|} Goto ${jeek} ${|}
-${If} ${a} L> 0
-  ${IfThen} ${b} L< 0 ${|} Goto ${jles} ${|}
-${ElseIf} ${b} L> 0
-  ${IfThen} ${a} L< 0 ${|} Goto ${jgtr} ${|}
-${EndIf}
-!insertmacro _L< ${a} ${b} ${jles} ${jgtr}
+Exch $2 ; b
+Exch
+Exch $1 ; a
+; if (a == b) return 0;
+; if (a < 0)
+; {
+;   if (b >= 0) return 1
+; }
+; else
+; {
+;   if (b < 0) return -1
+; }
+; return a < b ? -1 : 1
+System::Int64Op $1 ^ $2 ; Using xor so $_LOGICLIB_TEMP ends up as 0 when they are equal
+Pop $_LOGICLIB_TEMP
+StrCmp $_LOGICLIB_TEMP 0 ret ; NOTE: Must use StrCmp, IntCmp fails on "0x8000000000000001 Z> 1"
+System::Int64Op $1 < 0
+Pop $_LOGICLIB_TEMP
+StrCmp $_LOGICLIB_TEMP 0 checkNegOther
+System::Int64Op $2 < 0 ; System::Int64Op does not support the >= operator so we invert the operation
+Pop $_LOGICLIB_TEMP
+StrCmp $_LOGICLIB_TEMP 0 retPos finalCmp
+retPos:
+StrCpy $_LOGICLIB_TEMP "1"
+Goto ret
+checkNegOther:
+System::Int64Op $2 < 0
+Pop $_LOGICLIB_TEMP
+StrCmp $_LOGICLIB_TEMP 0 finalCmp retNeg
+retNeg:
+StrCpy $_LOGICLIB_TEMP "-1"
+Goto ret
+finalCmp:
+System::Int64Op $1 < $2
+Pop $_LOGICLIB_TEMP
+StrCmp $_LOGICLIB_TEMP 0 retPos retNeg
+ret:
+Pop $1
+Pop $2
+!macroend
+!macro Int64CmpU a b jeek jles jgtr
+!echo "Int64CmpU ${a}:${b} =${jeek}, <${jles}, >${jgtr}"
+!verbose push 2
+Push `${a}`
+Push `${b}`
+!insertmacro CallArtificialFunction Int64CmpUHelper
+IntCmp $_LOGICLIB_TEMP 0 `${jeek}` `${jles}` `${jgtr}`
 !verbose pop
 !macroend
 !macro IntPtrCmpU a b jeek jles jgtr
 !if ${NSIS_PTR_SIZE} <= 4
-  ${Int32CmpU} ${a} ${b} ${jeek} ${jles} ${jgtr}
+  ${Int32CmpU} `${a}` `${b}` `${jeek}` `${jles}` `${jgtr}`
 !else
-  ${Int64CmpU} ${a} ${b} ${jeek} ${jles} ${jgtr}
+  ${Int64CmpU} `${a}` `${b}` `${jeek}` `${jles}` `${jgtr}`
 !endif
 !macroend