diff --git a/examples/DemoRunner/Source/Demos/DemoPIPs1.cpp b/examples/DemoRunner/Source/Demos/DemoPIPs1.cpp
index f030078ef8..cc3ef3cf06 100644
--- a/examples/DemoRunner/Source/Demos/DemoPIPs1.cpp
+++ b/examples/DemoRunner/Source/Demos/DemoPIPs1.cpp
@@ -41,26 +41,23 @@
 #include "../../../Audio/MidiDemo.h"
 #include "../../../Audio/MPEDemo.h"
 #include "../../../Audio/PluckedStringsDemo.h"
-
-#if JUCE_HAS_CONSTEXPR
- #include "../../../Audio/SimpleFFTDemo.h"
- #include "../../../BLOCKS/BlocksDrawingDemo.h"
- #include "../../../BLOCKS/BlocksMonitorDemo.h"
- #include "../../../BLOCKS/BlocksSynthDemo.h"
-
-
- #include "../../../DSP/ConvolutionDemo.h"
- #include "../../../DSP/FIRFilterDemo.h"
- #include "../../../DSP/GainDemo.h"
- #include "../../../DSP/IIRFilterDemo.h"
- #include "../../../DSP/OscillatorDemo.h"
- #include "../../../DSP/OverdriveDemo.h"
- #if JUCE_USE_SIMD
-  #include "../../../DSP/SIMDRegisterDemo.h"
- #endif
- #include "../../../DSP/StateVariableFilterDemo.h"
- #include "../../../DSP/WaveShaperTanhDemo.h"
+#include "../../../Audio/SimpleFFTDemo.h"
+
+#include "../../../BLOCKS/BlocksDrawingDemo.h"
+#include "../../../BLOCKS/BlocksMonitorDemo.h"
+#include "../../../BLOCKS/BlocksSynthDemo.h"
+
+#include "../../../DSP/ConvolutionDemo.h"
+#include "../../../DSP/FIRFilterDemo.h"
+#include "../../../DSP/GainDemo.h"
+#include "../../../DSP/IIRFilterDemo.h"
+#include "../../../DSP/OscillatorDemo.h"
+#include "../../../DSP/OverdriveDemo.h"
+#if JUCE_USE_SIMD
+ #include "../../../DSP/SIMDRegisterDemo.h"
 #endif
+#include "../../../DSP/StateVariableFilterDemo.h"
+#include "../../../DSP/WaveShaperTanhDemo.h"
 
 #include "../../../Utilities/Box2DDemo.h"
 #if JUCE_MAC || JUCE_WINDOWS || JUCE_LINUX
@@ -90,7 +87,6 @@ void registerDemos_One() noexcept
     REGISTER_DEMO (MPEDemo,                 Audio,     false)
     REGISTER_DEMO (PluckedStringsDemo,      Audio,     false)
 
-   #if JUCE_HAS_CONSTEXPR
     REGISTER_DEMO (SimpleFFTDemo,           Audio,     false)
     REGISTER_DEMO (BlocksDrawingDemo,       BLOCKS,    false)
     REGISTER_DEMO (BlocksMonitorDemo,       BLOCKS,    false)
@@ -107,7 +103,6 @@ void registerDemos_One() noexcept
     #endif
     REGISTER_DEMO (StateVariableFilterDemo, DSP,       false)
     REGISTER_DEMO (WaveShaperTanhDemo,      DSP,       false)
-   #endif
 
     REGISTER_DEMO (Box2DDemo,               Utilities, false)
    #if JUCE_MAC || JUCE_WINDOWS || JUCE_LINUX
diff --git a/examples/DemoRunner/Source/Demos/DemoPIPs2.cpp b/examples/DemoRunner/Source/Demos/DemoPIPs2.cpp
index d2584529bd..ffb25a0e99 100644
--- a/examples/DemoRunner/Source/Demos/DemoPIPs2.cpp
+++ b/examples/DemoRunner/Source/Demos/DemoPIPs2.cpp
@@ -46,9 +46,7 @@
 #include "../../../GUI/FlexBoxDemo.h"
 #include "../../../GUI/FontsDemo.h"
 #include "../../../GUI/GraphicsDemo.h"
-#if JUCE_HAS_CONSTEXPR
- #include "../../../GUI/GridDemo.h"
-#endif
+#include "../../../GUI/GridDemo.h"
 #include "../../../GUI/ImagesDemo.h"
 #include "../../../GUI/KeyMappingsDemo.h"
 #include "../../../GUI/LookAndFeelDemo.h"
@@ -85,9 +83,7 @@ void registerDemos_Two() noexcept
     REGISTER_DEMO (FlexBoxDemo,               GUI, false)
     REGISTER_DEMO (FontsDemo,                 GUI, false)
     REGISTER_DEMO (GraphicsDemo,              GUI, false)
-   #if JUCE_HAS_CONSTEXPR
     REGISTER_DEMO (GridDemo,                  GUI, false)
-   #endif
     REGISTER_DEMO (ImagesDemo,                GUI, false)
     REGISTER_DEMO (KeyMappingsDemo,           GUI, false)
     REGISTER_DEMO (LookAndFeelDemo,           GUI, false)
diff --git a/modules/juce_audio_basics/buffers/juce_AudioSampleBuffer.h b/modules/juce_audio_basics/buffers/juce_AudioSampleBuffer.h
index f4ab1df073..f487f3c831 100644
--- a/modules/juce_audio_basics/buffers/juce_AudioSampleBuffer.h
+++ b/modules/juce_audio_basics/buffers/juce_AudioSampleBuffer.h
@@ -1075,8 +1075,10 @@ private:
 
     void allocateData()
     {
+       #if (! JUCE_GCC) || (__GNUC__ * 100 + __GNUC_MINOR__) >= 409
         static_assert (std::alignment_of<Type>::value <= std::alignment_of<std::max_align_t>::value,
                        "AudioBuffer cannot hold types with alignment requirements larger than that guaranteed by malloc");
+       #endif
         jassert (size >= 0);
 
         auto channelListSize = (size_t) (numChannels + 1) * sizeof (Type*);
diff --git a/modules/juce_audio_formats/codecs/juce_WavAudioFormat.cpp b/modules/juce_audio_formats/codecs/juce_WavAudioFormat.cpp
index 3515786aed..d49315ccbb 100644
--- a/modules/juce_audio_formats/codecs/juce_WavAudioFormat.cpp
+++ b/modules/juce_audio_formats/codecs/juce_WavAudioFormat.cpp
@@ -157,8 +157,8 @@ const char* const WavAudioFormat::tracktionLoopInfo    = "tracktion loop info";
 //==============================================================================
 namespace WavFileHelpers
 {
-    JUCE_CONSTEXPR inline int chunkName (const char* name) noexcept         { return (int) ByteOrder::littleEndianInt (name); }
-    JUCE_CONSTEXPR inline size_t roundUpSize (size_t sz) noexcept           { return (sz + 3) & ~3u; }
+    constexpr inline int chunkName (const char* name) noexcept         { return (int) ByteOrder::littleEndianInt (name); }
+    constexpr inline size_t roundUpSize (size_t sz) noexcept           { return (sz + 3) & ~3u; }
 
     #if JUCE_MSVC
      #pragma pack (push, 1)
diff --git a/modules/juce_blocks_basics/juce_blocks_basics.cpp b/modules/juce_blocks_basics/juce_blocks_basics.cpp
index 132dcfe06b..92c6b0ce0a 100644
--- a/modules/juce_blocks_basics/juce_blocks_basics.cpp
+++ b/modules/juce_blocks_basics/juce_blocks_basics.cpp
@@ -22,12 +22,6 @@
 
 #include "juce_blocks_basics.h"
 
-#if ! JUCE_HAS_CONSTEXPR
- #ifndef JUCE_DEMO_RUNNER
-  #error "The juce_blocks_basics module requires a compiler that supports constexpr"
- #endif
-#else
-
 #include <regex>
 
 namespace juce
@@ -48,5 +42,3 @@ namespace juce
 #include "topology/juce_RuleBasedTopologySource.cpp"
 #include "visualisers/juce_DrumPadLEDProgram.cpp"
 #include "visualisers/juce_BitmapLEDProgram.cpp"
-
-#endif
diff --git a/modules/juce_blocks_basics/juce_blocks_basics.h b/modules/juce_blocks_basics/juce_blocks_basics.h
index 2e58ee5330..8f2c208068 100644
--- a/modules/juce_blocks_basics/juce_blocks_basics.h
+++ b/modules/juce_blocks_basics/juce_blocks_basics.h
@@ -52,12 +52,6 @@
 #include <juce_events/juce_events.h>
 #include <juce_audio_devices/juce_audio_devices.h>
 
-#if ! JUCE_HAS_CONSTEXPR
- #ifndef JUCE_DEMO_RUNNER
-  #error "The juce_blocks_basics module requires a compiler that supports constexpr"
- #endif
-#else
-
 namespace juce
 {
     class TouchSurface;
@@ -89,5 +83,3 @@ namespace juce
  #include "littlefoot/juce_LittleFootRunner.h"
  #include "littlefoot/juce_LittleFootCompiler.h"
 }
-
-#endif
diff --git a/modules/juce_core/maths/juce_MathsFunctions.h b/modules/juce_core/maths/juce_MathsFunctions.h
index 452a03d6a8..13826a2377 100644
--- a/modules/juce_core/maths/juce_MathsFunctions.h
+++ b/modules/juce_core/maths/juce_MathsFunctions.h
@@ -91,33 +91,33 @@ using uint32    = unsigned int;
 
 /** Returns the larger of two values. */
 template <typename Type>
-JUCE_CONSTEXPR Type jmax (Type a, Type b)                                   { return a < b ? b : a; }
+constexpr Type jmax (Type a, Type b)                                   { return a < b ? b : a; }
 
 /** Returns the larger of three values. */
 template <typename Type>
-JUCE_CONSTEXPR Type jmax (Type a, Type b, Type c)                           { return a < b ? (b < c ? c : b) : (a < c ? c : a); }
+constexpr Type jmax (Type a, Type b, Type c)                           { return a < b ? (b < c ? c : b) : (a < c ? c : a); }
 
 /** Returns the larger of four values. */
 template <typename Type>
-JUCE_CONSTEXPR Type jmax (Type a, Type b, Type c, Type d)                   { return jmax (a, jmax (b, c, d)); }
+constexpr Type jmax (Type a, Type b, Type c, Type d)                   { return jmax (a, jmax (b, c, d)); }
 
 /** Returns the smaller of two values. */
 template <typename Type>
-JUCE_CONSTEXPR Type jmin (Type a, Type b)                                   { return b < a ? b : a; }
+constexpr Type jmin (Type a, Type b)                                   { return b < a ? b : a; }
 
 /** Returns the smaller of three values. */
 template <typename Type>
-JUCE_CONSTEXPR Type jmin (Type a, Type b, Type c)                           { return b < a ? (c < b ? c : b) : (c < a ? c : a); }
+constexpr Type jmin (Type a, Type b, Type c)                           { return b < a ? (c < b ? c : b) : (c < a ? c : a); }
 
 /** Returns the smaller of four values. */
 template <typename Type>
-JUCE_CONSTEXPR Type jmin (Type a, Type b, Type c, Type d)                   { return jmin (a, jmin (b, c, d)); }
+constexpr Type jmin (Type a, Type b, Type c, Type d)                   { return jmin (a, jmin (b, c, d)); }
 
 /** Remaps a normalised value (between 0 and 1) to a target range.
     This effectively returns (targetRangeMin + value0To1 * (targetRangeMax - targetRangeMin)).
 */
 template <typename Type>
-JUCE_CONSTEXPR Type jmap (Type value0To1, Type targetRangeMin, Type targetRangeMax)
+constexpr Type jmap (Type value0To1, Type targetRangeMin, Type targetRangeMax)
 {
     return targetRangeMin + value0To1 * (targetRangeMax - targetRangeMin);
 }
@@ -297,7 +297,7 @@ void ignoreUnused (Types&&...) noexcept {}
     @endcode
 */
 template <typename Type, size_t N>
-JUCE_CONSTEXPR int numElementsInArray (Type (&)[N]) noexcept     { return N; }
+constexpr int numElementsInArray (Type (&)[N]) noexcept     { return N; }
 
 //==============================================================================
 // Some useful maths functions that aren't always present with all compilers and build settings.
@@ -327,8 +327,6 @@ inline float juce_hypot (float a, float b) noexcept
 #endif
 
 //==============================================================================
-#if JUCE_HAS_CONSTEXPR
-
 /** Commonly used mathematical constants
 
     @tags{Core}
@@ -352,71 +350,29 @@ struct MathConstants
     static constexpr FloatType sqrt2 = static_cast<FloatType> (1.4142135623730950488L);
 };
 
-#else
-
-/** Commonly used mathematical constants
-
-    @tags{Core}
-*/
-template <typename FloatType>
-struct MathConstants
-{
-    /** A predefined value for Pi */
-    static const FloatType pi;
-
-    /** A predefined value for 2 * Pi */
-    static const FloatType twoPi;
-
-    /** A predefined value for Pi / 2 */
-    static const FloatType halfPi;
-
-    /** A predefined value for Euler's number */
-    static const FloatType euler;
-
-    /** A predefined value for sqrt(2) */
-    static const FloatType sqrt2;
-};
-
-template <typename FloatType>
-const FloatType MathConstants<FloatType>::pi = static_cast<FloatType> (3.141592653589793238L);
-
-template <typename FloatType>
-const FloatType MathConstants<FloatType>::twoPi = static_cast<FloatType> (2 * 3.141592653589793238L);
-
-template <typename FloatType>
-const FloatType MathConstants<FloatType>::halfPi = static_cast<FloatType> (3.141592653589793238L / 2);
-
-template <typename FloatType>
-const FloatType MathConstants<FloatType>::euler = static_cast<FloatType> (2.71828182845904523536L);
-
-template <typename FloatType>
-const FloatType MathConstants<FloatType>::sqrt2 = static_cast<FloatType> (1.4142135623730950488L);
-
-#endif
-
 #ifndef DOXYGEN
 /** A double-precision constant for pi.
     @deprecated This is deprecated in favour of MathConstants<double>::pi.
     The reason is that "double_Pi" was a confusing name, and many people misused it,
     wrongly thinking it meant 2 * pi !
 */
-const JUCE_CONSTEXPR double  double_Pi  = MathConstants<double>::pi;
+const constexpr double  double_Pi  = MathConstants<double>::pi;
 
 /** A single-precision constant for pi.
     @deprecated This is deprecated in favour of MathConstants<float>::pi.
     The reason is that "double_Pi" was a confusing name, and many people misused it,
     wrongly thinking it meant 2 * pi !
 */
-const JUCE_CONSTEXPR float   float_Pi   = MathConstants<float>::pi;
+const constexpr float   float_Pi   = MathConstants<float>::pi;
 #endif
 
 /** Converts an angle in degrees to radians. */
 template <typename FloatType>
-JUCE_CONSTEXPR FloatType degreesToRadians (FloatType degrees) noexcept     { return degrees * (MathConstants<FloatType>::pi / FloatType (180)); }
+constexpr FloatType degreesToRadians (FloatType degrees) noexcept     { return degrees * (MathConstants<FloatType>::pi / FloatType (180)); }
 
 /** Converts an angle in radians to degrees. */
 template <typename FloatType>
-JUCE_CONSTEXPR FloatType radiansToDegrees (FloatType radians) noexcept     { return radians * (FloatType (180) / MathConstants<FloatType>::pi); }
+constexpr FloatType radiansToDegrees (FloatType radians) noexcept     { return radians * (FloatType (180) / MathConstants<FloatType>::pi); }
 
 
 //==============================================================================
@@ -529,7 +485,7 @@ unsigned int truncatePositiveToUnsignedInt (FloatType value) noexcept
 //==============================================================================
 /** Returns true if the specified integer is a power-of-two. */
 template <typename IntegerType>
-JUCE_CONSTEXPR bool isPowerOfTwo (IntegerType value)
+constexpr bool isPowerOfTwo (IntegerType value)
 {
    return (value & (value - 1)) == 0;
 }
@@ -582,7 +538,7 @@ IntegerType negativeAwareModulo (IntegerType dividend, const IntegerType divisor
 
 /** Returns the square of its argument. */
 template <typename NumericType>
-inline JUCE_CONSTEXPR NumericType square (NumericType n) noexcept
+inline constexpr NumericType square (NumericType n) noexcept
 {
     return n * n;
 }
diff --git a/modules/juce_core/maths/juce_Range.h b/modules/juce_core/maths/juce_Range.h
index fc22853df7..c4c5b6958c 100644
--- a/modules/juce_core/maths/juce_Range.h
+++ b/modules/juce_core/maths/juce_Range.h
@@ -41,22 +41,22 @@ class Range
 public:
     //==============================================================================
     /** Constructs an empty range. */
-    JUCE_CONSTEXPR Range() = default;
+    constexpr Range() = default;
 
     /** Constructs a range with given start and end values. */
-    JUCE_CONSTEXPR Range (const ValueType startValue, const ValueType endValue) noexcept
+    constexpr Range (const ValueType startValue, const ValueType endValue) noexcept
         : start (startValue), end (jmax (startValue, endValue))
     {
     }
 
     /** Constructs a copy of another range. */
-    JUCE_CONSTEXPR Range (const Range&) = default;
+    constexpr Range (const Range&) = default;
 
     /** Copies another range object. */
     Range& operator= (const Range&) = default;
 
     /** Returns the range that lies between two positions (in either order). */
-    JUCE_CONSTEXPR static Range between (const ValueType position1, const ValueType position2) noexcept
+    constexpr static Range between (const ValueType position1, const ValueType position2) noexcept
     {
         return position1 < position2 ? Range (position1, position2)
                                      : Range (position2, position1);
@@ -70,23 +70,23 @@ public:
     }
 
     /** Returns a range with the specified start position and a length of zero. */
-    JUCE_CONSTEXPR static Range emptyRange (const ValueType start) noexcept
+    constexpr static Range emptyRange (const ValueType start) noexcept
     {
         return Range (start, start);
     }
 
     //==============================================================================
     /** Returns the start of the range. */
-    JUCE_CONSTEXPR inline ValueType getStart() const noexcept          { return start; }
+    constexpr inline ValueType getStart() const noexcept          { return start; }
 
     /** Returns the length of the range. */
-    JUCE_CONSTEXPR inline ValueType getLength() const noexcept         { return end - start; }
+    constexpr inline ValueType getLength() const noexcept         { return end - start; }
 
     /** Returns the end of the range. */
-    JUCE_CONSTEXPR inline ValueType getEnd() const noexcept            { return end; }
+    constexpr inline ValueType getEnd() const noexcept            { return end; }
 
     /** Returns true if the range has a length of zero. */
-    JUCE_CONSTEXPR inline bool isEmpty() const noexcept                { return start == end; }
+    constexpr inline bool isEmpty() const noexcept                { return start == end; }
 
     //==============================================================================
     /** Changes the start position of the range, leaving the end position unchanged.
@@ -104,13 +104,13 @@ public:
         If the new start position is higher than the current end of the range, the end point
         will be pushed along to equal it, returning an empty range at the new position.
     */
-    JUCE_CONSTEXPR Range withStart (const ValueType newStart) const noexcept
+    constexpr Range withStart (const ValueType newStart) const noexcept
     {
         return Range (newStart, jmax (newStart, end));
     }
 
     /** Returns a range with the same length as this one, but moved to have the given start position. */
-    JUCE_CONSTEXPR Range movedToStartAt (const ValueType newStart) const noexcept
+    constexpr Range movedToStartAt (const ValueType newStart) const noexcept
     {
         return Range (newStart, end + (newStart - start));
     }
@@ -130,13 +130,13 @@ public:
         If the new end position is below the current start of the range, the start point
         will be pushed back to equal the new end point.
     */
-    JUCE_CONSTEXPR Range withEnd (const ValueType newEnd) const noexcept
+    constexpr Range withEnd (const ValueType newEnd) const noexcept
     {
         return Range (jmin (start, newEnd), newEnd);
     }
 
     /** Returns a range with the same length as this one, but moved to have the given end position. */
-    JUCE_CONSTEXPR Range movedToEndAt (const ValueType newEnd) const noexcept
+    constexpr Range movedToEndAt (const ValueType newEnd) const noexcept
     {
         return Range (start + (newEnd - end), newEnd);
     }
@@ -152,7 +152,7 @@ public:
     /** Returns a range with the same start as this one, but a different length.
         Lengths less than zero are treated as zero.
     */
-    JUCE_CONSTEXPR Range withLength (const ValueType newLength) const noexcept
+    constexpr Range withLength (const ValueType newLength) const noexcept
     {
         return Range (start, start + newLength);
     }
@@ -161,7 +161,7 @@ public:
         given amount.
         @returns The returned range will be (start - amount, end + amount)
     */
-    JUCE_CONSTEXPR Range expanded (ValueType amount) const noexcept
+    constexpr Range expanded (ValueType amount) const noexcept
     {
         return Range (start - amount, end + amount);
     }
@@ -186,27 +186,27 @@ public:
     /** Returns a range that is equal to this one with an amount added to its
         start and end.
     */
-    JUCE_CONSTEXPR Range operator+ (const ValueType amountToAdd) const noexcept
+    constexpr Range operator+ (const ValueType amountToAdd) const noexcept
     {
         return Range (start + amountToAdd, end + amountToAdd);
     }
 
     /** Returns a range that is equal to this one with the specified amount
         subtracted from its start and end. */
-    JUCE_CONSTEXPR Range operator- (const ValueType amountToSubtract) const noexcept
+    constexpr Range operator- (const ValueType amountToSubtract) const noexcept
     {
         return Range (start - amountToSubtract, end - amountToSubtract);
     }
 
-    JUCE_CONSTEXPR bool operator== (Range other) const noexcept     { return start == other.start && end == other.end; }
-    JUCE_CONSTEXPR bool operator!= (Range other) const noexcept     { return start != other.start || end != other.end; }
+    constexpr bool operator== (Range other) const noexcept     { return start == other.start && end == other.end; }
+    constexpr bool operator!= (Range other) const noexcept     { return start != other.start || end != other.end; }
 
     //==============================================================================
     /** Returns true if the given position lies inside this range.
         When making this comparison, the start value is considered to be inclusive,
         and the end of the range exclusive.
     */
-    JUCE_CONSTEXPR bool contains (const ValueType position) const noexcept
+    constexpr bool contains (const ValueType position) const noexcept
     {
         return start <= position && position < end;
     }
@@ -218,34 +218,34 @@ public:
     }
 
     /** Returns true if the given range lies entirely inside this range. */
-    JUCE_CONSTEXPR bool contains (Range other) const noexcept
+    constexpr bool contains (Range other) const noexcept
     {
         return start <= other.start && end >= other.end;
     }
 
     /** Returns true if the given range intersects this one. */
-    JUCE_CONSTEXPR bool intersects (Range other) const noexcept
+    constexpr bool intersects (Range other) const noexcept
     {
         return other.start < end && start < other.end;
     }
 
     /** Returns the range that is the intersection of the two ranges, or an empty range
         with an undefined start position if they don't overlap. */
-    JUCE_CONSTEXPR Range getIntersectionWith (Range other) const noexcept
+    constexpr Range getIntersectionWith (Range other) const noexcept
     {
         return Range (jmax (start, other.start),
                       jmin (end, other.end));
     }
 
     /** Returns the smallest range that contains both this one and the other one. */
-    JUCE_CONSTEXPR Range getUnionWith (Range other) const noexcept
+    constexpr Range getUnionWith (Range other) const noexcept
     {
         return Range (jmin (start, other.start),
                       jmax (end, other.end));
     }
 
     /** Returns the smallest range that contains both this one and the given value. */
-    JUCE_CONSTEXPR Range getUnionWith (const ValueType valueToInclude) const noexcept
+    constexpr Range getUnionWith (const ValueType valueToInclude) const noexcept
     {
         return Range (jmin (valueToInclude, start),
                       jmax (valueToInclude, end));
diff --git a/modules/juce_core/memory/juce_ByteOrder.h b/modules/juce_core/memory/juce_ByteOrder.h
index 95e28482fb..2579957a4f 100644
--- a/modules/juce_core/memory/juce_ByteOrder.h
+++ b/modules/juce_core/memory/juce_ByteOrder.h
@@ -34,10 +34,10 @@ class JUCE_API  ByteOrder
 public:
     //==============================================================================
     /** Swaps the upper and lower bytes of a 16-bit integer. */
-    JUCE_CONSTEXPR static uint16 swap (uint16 value) noexcept;
+    constexpr static uint16 swap (uint16 value) noexcept;
 
     /** Swaps the upper and lower bytes of a 16-bit integer. */
-    JUCE_CONSTEXPR static int16 swap (int16 value) noexcept;
+    constexpr static int16 swap (int16 value) noexcept;
 
     /** Reverses the order of the 4 bytes in a 32-bit integer. */
     static uint32 swap (uint32 value) noexcept;
@@ -82,50 +82,50 @@ public:
 
     //==============================================================================
     /** Turns 4 bytes into a little-endian integer. */
-    JUCE_CONSTEXPR static uint32 littleEndianInt (const void* bytes) noexcept;
+    constexpr static uint32 littleEndianInt (const void* bytes) noexcept;
 
     /** Turns 8 bytes into a little-endian integer. */
-    JUCE_CONSTEXPR static uint64 littleEndianInt64 (const void* bytes) noexcept;
+    constexpr static uint64 littleEndianInt64 (const void* bytes) noexcept;
 
     /** Turns 2 bytes into a little-endian integer. */
-    JUCE_CONSTEXPR static uint16 littleEndianShort (const void* bytes) noexcept;
+    constexpr static uint16 littleEndianShort (const void* bytes) noexcept;
 
     /** Converts 3 little-endian bytes into a signed 24-bit value (which is sign-extended to 32 bits). */
-    JUCE_CONSTEXPR static int littleEndian24Bit (const void* bytes) noexcept;
+    constexpr static int littleEndian24Bit (const void* bytes) noexcept;
 
     /** Copies a 24-bit number to 3 little-endian bytes. */
     static void littleEndian24BitToChars (int32 value, void* destBytes) noexcept;
 
     //==============================================================================
     /** Turns 4 bytes into a big-endian integer. */
-    JUCE_CONSTEXPR static uint32 bigEndianInt (const void* bytes) noexcept;
+    constexpr static uint32 bigEndianInt (const void* bytes) noexcept;
 
     /** Turns 8 bytes into a big-endian integer. */
-    JUCE_CONSTEXPR static uint64 bigEndianInt64 (const void* bytes) noexcept;
+    constexpr static uint64 bigEndianInt64 (const void* bytes) noexcept;
 
     /** Turns 2 bytes into a big-endian integer. */
-    JUCE_CONSTEXPR static uint16 bigEndianShort (const void* bytes) noexcept;
+    constexpr static uint16 bigEndianShort (const void* bytes) noexcept;
 
     /** Converts 3 big-endian bytes into a signed 24-bit value (which is sign-extended to 32 bits). */
-    JUCE_CONSTEXPR static int bigEndian24Bit (const void* bytes) noexcept;
+    constexpr static int bigEndian24Bit (const void* bytes) noexcept;
 
     /** Copies a 24-bit number to 3 big-endian bytes. */
     static void bigEndian24BitToChars (int32 value, void* destBytes) noexcept;
 
     //==============================================================================
     /** Constructs a 16-bit integer from its constituent bytes, in order of significance. */
-    JUCE_CONSTEXPR static uint16 makeInt (uint8 leastSig, uint8 mostSig) noexcept;
+    constexpr static uint16 makeInt (uint8 leastSig, uint8 mostSig) noexcept;
 
     /** Constructs a 32-bit integer from its constituent bytes, in order of significance. */
-    JUCE_CONSTEXPR static uint32 makeInt (uint8 leastSig, uint8 byte1, uint8 byte2, uint8 mostSig) noexcept;
+    constexpr static uint32 makeInt (uint8 leastSig, uint8 byte1, uint8 byte2, uint8 mostSig) noexcept;
 
     /** Constructs a 64-bit integer from its constituent bytes, in order of significance. */
-    JUCE_CONSTEXPR static uint64 makeInt (uint8 leastSig, uint8 byte1, uint8 byte2, uint8 byte3,
-                                          uint8 byte4, uint8 byte5, uint8 byte6, uint8 mostSig) noexcept;
+    constexpr static uint64 makeInt (uint8 leastSig, uint8 byte1, uint8 byte2, uint8 byte3,
+                                     uint8 byte4, uint8 byte5, uint8 byte6, uint8 mostSig) noexcept;
 
     //==============================================================================
     /** Returns true if the current CPU is big-endian. */
-    JUCE_CONSTEXPR static bool isBigEndian() noexcept
+    constexpr static bool isBigEndian() noexcept
     {
        #if JUCE_LITTLE_ENDIAN
         return false;
@@ -140,8 +140,8 @@ private:
 
 
 //==============================================================================
-JUCE_CONSTEXPR inline uint16 ByteOrder::swap (uint16 v) noexcept    { return static_cast<uint16> ((v << 8) | (v >> 8)); }
-JUCE_CONSTEXPR inline int16  ByteOrder::swap (int16  v) noexcept    { return static_cast<int16> (swap (static_cast<uint16> (v))); }
+constexpr inline uint16 ByteOrder::swap (uint16 v) noexcept         { return static_cast<uint16> ((v << 8) | (v >> 8)); }
+constexpr inline int16  ByteOrder::swap (int16  v) noexcept         { return static_cast<int16> (swap (static_cast<uint16> (v))); }
 inline int32  ByteOrder::swap (int32 v) noexcept                    { return static_cast<int32> (swap (static_cast<uint32> (v))); }
 inline int64  ByteOrder::swap (int64 v) noexcept                    { return static_cast<int64> (swap (static_cast<uint64> (v))); }
 inline float  ByteOrder::swap (float v) noexcept                    { union { uint32 asUInt; float asFloat;  } n; n.asFloat = v; n.asUInt = swap (n.asUInt); return n.asFloat; }
@@ -178,41 +178,41 @@ inline uint64 ByteOrder::swap (uint64 value) noexcept
    #endif
 }
 
-JUCE_CONSTEXPR inline uint16 ByteOrder::makeInt (uint8 b0, uint8 b1) noexcept
+constexpr inline uint16 ByteOrder::makeInt (uint8 b0, uint8 b1) noexcept
 {
     return static_cast<uint16> (static_cast<uint16> (b0) | (static_cast<uint16> (b1) << 8));
 }
 
-JUCE_CONSTEXPR inline uint32 ByteOrder::makeInt (uint8 b0, uint8 b1, uint8 b2, uint8 b3) noexcept
+constexpr inline uint32 ByteOrder::makeInt (uint8 b0, uint8 b1, uint8 b2, uint8 b3) noexcept
 {
     return static_cast<uint32> (b0)        | (static_cast<uint32> (b1) << 8)
         | (static_cast<uint32> (b2) << 16) | (static_cast<uint32> (b3) << 24);
 }
 
-JUCE_CONSTEXPR inline uint64 ByteOrder::makeInt (uint8 b0, uint8 b1, uint8 b2, uint8 b3, uint8 b4, uint8 b5, uint8 b6, uint8 b7) noexcept
+constexpr inline uint64 ByteOrder::makeInt (uint8 b0, uint8 b1, uint8 b2, uint8 b3, uint8 b4, uint8 b5, uint8 b6, uint8 b7) noexcept
 {
     return static_cast<uint64> (b0)        | (static_cast<uint64> (b1) << 8)  | (static_cast<uint64> (b2) << 16) | (static_cast<uint64> (b3) << 24)
         | (static_cast<uint64> (b4) << 32) | (static_cast<uint64> (b5) << 40) | (static_cast<uint64> (b6) << 48) | (static_cast<uint64> (b7) << 56);
 }
 
-JUCE_CONSTEXPR inline uint16 ByteOrder::littleEndianShort (const void* bytes) noexcept    { return makeInt (static_cast<const uint8*> (bytes)[0], static_cast<const uint8*> (bytes)[1]); }
-JUCE_CONSTEXPR inline uint32 ByteOrder::littleEndianInt   (const void* bytes) noexcept    { return makeInt (static_cast<const uint8*> (bytes)[0], static_cast<const uint8*> (bytes)[1],
+constexpr inline uint16 ByteOrder::littleEndianShort (const void* bytes) noexcept         { return makeInt (static_cast<const uint8*> (bytes)[0], static_cast<const uint8*> (bytes)[1]); }
+constexpr inline uint32 ByteOrder::littleEndianInt   (const void* bytes) noexcept         { return makeInt (static_cast<const uint8*> (bytes)[0], static_cast<const uint8*> (bytes)[1],
                                                                                                             static_cast<const uint8*> (bytes)[2], static_cast<const uint8*> (bytes)[3]); }
-JUCE_CONSTEXPR inline uint64 ByteOrder::littleEndianInt64 (const void* bytes) noexcept    { return makeInt (static_cast<const uint8*> (bytes)[0], static_cast<const uint8*> (bytes)[1],
+constexpr inline uint64 ByteOrder::littleEndianInt64 (const void* bytes) noexcept         { return makeInt (static_cast<const uint8*> (bytes)[0], static_cast<const uint8*> (bytes)[1],
                                                                                                             static_cast<const uint8*> (bytes)[2], static_cast<const uint8*> (bytes)[3],
                                                                                                             static_cast<const uint8*> (bytes)[4], static_cast<const uint8*> (bytes)[5],
                                                                                                             static_cast<const uint8*> (bytes)[6], static_cast<const uint8*> (bytes)[7]); }
 
-JUCE_CONSTEXPR inline uint16 ByteOrder::bigEndianShort    (const void* bytes) noexcept    { return makeInt (static_cast<const uint8*> (bytes)[1], static_cast<const uint8*> (bytes)[0]); }
-JUCE_CONSTEXPR inline uint32 ByteOrder::bigEndianInt      (const void* bytes) noexcept    { return makeInt (static_cast<const uint8*> (bytes)[3], static_cast<const uint8*> (bytes)[2],
+constexpr inline uint16 ByteOrder::bigEndianShort    (const void* bytes) noexcept         { return makeInt (static_cast<const uint8*> (bytes)[1], static_cast<const uint8*> (bytes)[0]); }
+constexpr inline uint32 ByteOrder::bigEndianInt      (const void* bytes) noexcept         { return makeInt (static_cast<const uint8*> (bytes)[3], static_cast<const uint8*> (bytes)[2],
                                                                                                             static_cast<const uint8*> (bytes)[1], static_cast<const uint8*> (bytes)[0]); }
-JUCE_CONSTEXPR inline uint64 ByteOrder::bigEndianInt64    (const void* bytes) noexcept    { return makeInt (static_cast<const uint8*> (bytes)[7], static_cast<const uint8*> (bytes)[6],
+constexpr inline uint64 ByteOrder::bigEndianInt64    (const void* bytes) noexcept         { return makeInt (static_cast<const uint8*> (bytes)[7], static_cast<const uint8*> (bytes)[6],
                                                                                                             static_cast<const uint8*> (bytes)[5], static_cast<const uint8*> (bytes)[4],
                                                                                                             static_cast<const uint8*> (bytes)[3], static_cast<const uint8*> (bytes)[2],
                                                                                                             static_cast<const uint8*> (bytes)[1], static_cast<const uint8*> (bytes)[0]); }
 
-JUCE_CONSTEXPR inline int32 ByteOrder::littleEndian24Bit  (const void* bytes) noexcept    { return (int32) ((((uint32) static_cast<const int8*> (bytes)[2]) << 16) | (((uint32) static_cast<const uint8*> (bytes)[1]) << 8) | ((uint32) static_cast<const uint8*> (bytes)[0])); }
-JUCE_CONSTEXPR inline int32 ByteOrder::bigEndian24Bit     (const void* bytes) noexcept    { return (int32) ((((uint32) static_cast<const int8*> (bytes)[0]) << 16) | (((uint32) static_cast<const uint8*> (bytes)[1]) << 8) | ((uint32) static_cast<const uint8*> (bytes)[2])); }
+constexpr inline int32 ByteOrder::littleEndian24Bit  (const void* bytes) noexcept         { return (int32) ((((uint32) static_cast<const int8*> (bytes)[2]) << 16) | (((uint32) static_cast<const uint8*> (bytes)[1]) << 8) | ((uint32) static_cast<const uint8*> (bytes)[0])); }
+constexpr inline int32 ByteOrder::bigEndian24Bit     (const void* bytes) noexcept         { return (int32) ((((uint32) static_cast<const int8*> (bytes)[0]) << 16) | (((uint32) static_cast<const uint8*> (bytes)[1]) << 8) | ((uint32) static_cast<const uint8*> (bytes)[2])); }
 
 inline void ByteOrder::littleEndian24BitToChars (int32 value, void* destBytes) noexcept   { static_cast<uint8*> (destBytes)[0] = (uint8) value;         static_cast<uint8*> (destBytes)[1] = (uint8) (value >> 8); static_cast<uint8*> (destBytes)[2] = (uint8) (value >> 16); }
 inline void ByteOrder::bigEndian24BitToChars    (int32 value, void* destBytes) noexcept   { static_cast<uint8*> (destBytes)[0] = (uint8) (value >> 16); static_cast<uint8*> (destBytes)[1] = (uint8) (value >> 8); static_cast<uint8*> (destBytes)[2] = (uint8) value; }
diff --git a/modules/juce_core/system/juce_CompilerSupport.h b/modules/juce_core/system/juce_CompilerSupport.h
index 42712c73fd..3d08a7ec72 100644
--- a/modules/juce_core/system/juce_CompilerSupport.h
+++ b/modules/juce_core/system/juce_CompilerSupport.h
@@ -38,10 +38,6 @@
   #error "JUCE requires that GCC has C++11 compatibility enabled"
  #endif
 
- #if (__GNUC__ * 100 + __GNUC_MINOR__) >= 500
-  #define JUCE_HAS_CONSTEXPR 1
- #endif
-
  #ifndef JUCE_EXCEPTIONS_DISABLED
   #if ! __EXCEPTIONS
    #define JUCE_EXCEPTIONS_DISABLED 1
@@ -61,8 +57,6 @@
   #error "JUCE requires Clang 3.3 or later"
  #endif
 
- #define JUCE_HAS_CONSTEXPR 1
-
  #ifndef JUCE_COMPILER_SUPPORTS_ARC
   #define JUCE_COMPILER_SUPPORTS_ARC 1
  #endif
@@ -86,8 +80,6 @@
    #error "JUCE requires Visual Studio 2015 or later"
  #endif
 
- #define JUCE_HAS_CONSTEXPR 1
-
  #ifndef JUCE_EXCEPTIONS_DISABLED
   #if ! _CPPUNWIND
    #define JUCE_EXCEPTIONS_DISABLED 1
@@ -105,12 +97,6 @@
 #endif
 
 //==============================================================================
-#if JUCE_HAS_CONSTEXPR
- #define JUCE_CONSTEXPR constexpr
-#else
- #define JUCE_CONSTEXPR
-#endif
-
 #if (! JUCE_MSVC) && (! JUCE_CXX14_IS_AVAILABLE)
 namespace std
 {
@@ -122,6 +108,7 @@ namespace std
 }
 #endif
 
+//==============================================================================
 #if ! DOXYGEN
  // These are old flags that are now supported on all compatible build targets
  #define JUCE_COMPILER_SUPPORTS_OVERRIDE_AND_FINAL 1
@@ -129,4 +116,5 @@ namespace std
  #define JUCE_COMPILER_SUPPORTS_INITIALIZER_LISTS 1
  #define JUCE_COMPILER_SUPPORTS_NOEXCEPT 1
  #define JUCE_DELETED_FUNCTION = delete
+ #define JUCE_CONSTEXPR constexpr
 #endif
diff --git a/modules/juce_core/text/juce_CharacterFunctions.h b/modules/juce_core/text/juce_CharacterFunctions.h
index c81e3b785b..dfa314eac1 100644
--- a/modules/juce_core/text/juce_CharacterFunctions.h
+++ b/modules/juce_core/text/juce_CharacterFunctions.h
@@ -149,8 +149,8 @@ public:
        #if JUCE_MINGW
         bool isNegative = false;
        #else
-        JUCE_CONSTEXPR const int maxSignificantDigits = 17 + 1; // An additional digit for rounding
-        JUCE_CONSTEXPR const int bufferSize = maxSignificantDigits + 7 + 1; // -.E-XXX and a trailing null-terminator
+        constexpr const int maxSignificantDigits = 17 + 1; // An additional digit for rounding
+        constexpr const int bufferSize = maxSignificantDigits + 7 + 1; // -.E-XXX and a trailing null-terminator
         char buffer[(size_t) bufferSize] = {};
         char* currentCharacter = &(buffer[0]);
        #endif
@@ -200,7 +200,7 @@ public:
         int exponent = 0, decPointIndex = 0, digit = 0;
         int lastDigit = 0, numSignificantDigits = 0;
         bool digitsFound = false;
-        JUCE_CONSTEXPR const int maxSignificantDigits = 17 + 1;
+        constexpr const int maxSignificantDigits = 17 + 1;
 
         for (;;)
         {
diff --git a/modules/juce_data_structures/app_properties/juce_PropertiesFile.cpp b/modules/juce_data_structures/app_properties/juce_PropertiesFile.cpp
index 39b85dc6a4..b9e29ea6dc 100644
--- a/modules/juce_data_structures/app_properties/juce_PropertiesFile.cpp
+++ b/modules/juce_data_structures/app_properties/juce_PropertiesFile.cpp
@@ -29,13 +29,13 @@ namespace juce
 
 namespace PropertyFileConstants
 {
-    JUCE_CONSTEXPR static const int magicNumber            = (int) ByteOrder::makeInt ('P', 'R', 'O', 'P');
-    JUCE_CONSTEXPR static const int magicNumberCompressed  = (int) ByteOrder::makeInt ('C', 'P', 'R', 'P');
+    constexpr static const int magicNumber            = (int) ByteOrder::makeInt ('P', 'R', 'O', 'P');
+    constexpr static const int magicNumberCompressed  = (int) ByteOrder::makeInt ('C', 'P', 'R', 'P');
 
-    JUCE_CONSTEXPR static const char* const fileTag        = "PROPERTIES";
-    JUCE_CONSTEXPR static const char* const valueTag       = "VALUE";
-    JUCE_CONSTEXPR static const char* const nameAttribute  = "name";
-    JUCE_CONSTEXPR static const char* const valueAttribute = "val";
+    constexpr static const char* const fileTag        = "PROPERTIES";
+    constexpr static const char* const valueTag       = "VALUE";
+    constexpr static const char* const nameAttribute  = "name";
+    constexpr static const char* const valueAttribute = "val";
 }
 
 //==============================================================================
diff --git a/modules/juce_dsp/juce_dsp.cpp b/modules/juce_dsp/juce_dsp.cpp
index 0d61a417e0..5c50b05a3f 100644
--- a/modules/juce_dsp/juce_dsp.cpp
+++ b/modules/juce_dsp/juce_dsp.cpp
@@ -35,12 +35,6 @@
 
 #include "juce_dsp.h"
 
-#if ! JUCE_HAS_CONSTEXPR
- #ifndef JUCE_DEMO_RUNNER
-  #error "The juce_dsp module requires a compiler that supports constexpr"
- #endif
-#else
-
 #ifndef JUCE_USE_VDSP_FRAMEWORK
  #define JUCE_USE_VDSP_FRAMEWORK 1
 #endif
@@ -93,5 +87,3 @@
  #include "frequency/juce_FFT_test.cpp"
  #include "processors/juce_FIRFilter_test.cpp"
 #endif
-
-#endif
diff --git a/modules/juce_dsp/juce_dsp.h b/modules/juce_dsp/juce_dsp.h
index 84f68c9635..982e691681 100644
--- a/modules/juce_dsp/juce_dsp.h
+++ b/modules/juce_dsp/juce_dsp.h
@@ -59,12 +59,6 @@
 #include <juce_audio_basics/juce_audio_basics.h>
 #include <juce_audio_formats/juce_audio_formats.h>
 
-#if ! JUCE_HAS_CONSTEXPR
- #ifndef JUCE_DEMO_RUNNER
-  #error "The juce_dsp module requires a compiler that supports constexpr"
- #endif
-#else
-
 #if defined(_M_X64) || defined(__amd64__) || defined(__SSE2__) || (defined(_M_IX86_FP) && _M_IX86_FP == 2)
 
  #if defined(_M_X64) || defined(__amd64__)
@@ -271,5 +265,3 @@ namespace juce
 #include "frequency/juce_Convolution.h"
 #include "frequency/juce_Windowing.h"
 #include "filter_design/juce_FilterDesign.h"
-
-#endif
diff --git a/modules/juce_graphics/geometry/juce_Point.h b/modules/juce_graphics/geometry/juce_Point.h
index 3bf9c26606..e87906bb65 100644
--- a/modules/juce_graphics/geometry/juce_Point.h
+++ b/modules/juce_graphics/geometry/juce_Point.h
@@ -43,101 +43,101 @@ class Point
 {
 public:
     /** Creates a point at the origin */
-    JUCE_CONSTEXPR Point() = default;
+    constexpr Point() = default;
 
     /** Creates a copy of another point. */
-    JUCE_CONSTEXPR Point (const Point&) = default;
+    constexpr Point (const Point&) = default;
 
     /** Creates a point from an (x, y) position. */
-    JUCE_CONSTEXPR Point (ValueType initialX, ValueType initialY) noexcept : x (initialX), y (initialY) {}
+    constexpr Point (ValueType initialX, ValueType initialY) noexcept : x (initialX), y (initialY) {}
 
     //==============================================================================
     /** Copies this point from another one. */
     Point& operator= (const Point&) = default;
 
-    JUCE_CONSTEXPR inline bool operator== (Point other) const noexcept      { return x == other.x && y == other.y; }
-    JUCE_CONSTEXPR inline bool operator!= (Point other) const noexcept      { return x != other.x || y != other.y; }
+    constexpr inline bool operator== (Point other) const noexcept      { return x == other.x && y == other.y; }
+    constexpr inline bool operator!= (Point other) const noexcept      { return x != other.x || y != other.y; }
 
     /** Returns true if the point is (0, 0). */
-    JUCE_CONSTEXPR bool isOrigin() const noexcept                           { return x == ValueType() && y == ValueType(); }
+    constexpr bool isOrigin() const noexcept                           { return x == ValueType() && y == ValueType(); }
 
     /** Returns true if the coordinates are finite values. */
-    JUCE_CONSTEXPR inline bool isFinite() const noexcept                    { return juce_isfinite(x) && juce_isfinite(y); }
+    constexpr inline bool isFinite() const noexcept                    { return juce_isfinite(x) && juce_isfinite(y); }
 
     /** Returns the point's x coordinate. */
-    JUCE_CONSTEXPR inline ValueType getX() const noexcept                   { return x; }
+    constexpr inline ValueType getX() const noexcept                   { return x; }
 
     /** Returns the point's y coordinate. */
-    JUCE_CONSTEXPR inline ValueType getY() const noexcept                   { return y; }
+    constexpr inline ValueType getY() const noexcept                   { return y; }
 
     /** Sets the point's x coordinate. */
-    inline void setX (ValueType newX) noexcept                              { x = newX; }
+    inline void setX (ValueType newX) noexcept                         { x = newX; }
 
     /** Sets the point's y coordinate. */
-    inline void setY (ValueType newY) noexcept                              { y = newY; }
+    inline void setY (ValueType newY) noexcept                         { y = newY; }
 
     /** Returns a point which has the same Y position as this one, but a new X. */
-    JUCE_CONSTEXPR Point withX (ValueType newX) const noexcept              { return Point (newX, y); }
+    constexpr Point withX (ValueType newX) const noexcept              { return Point (newX, y); }
 
     /** Returns a point which has the same X position as this one, but a new Y. */
-    JUCE_CONSTEXPR Point withY (ValueType newY) const noexcept              { return Point (x, newY); }
+    constexpr Point withY (ValueType newY) const noexcept              { return Point (x, newY); }
 
     /** Changes the point's x and y coordinates. */
-    void setXY (ValueType newX, ValueType newY) noexcept                    { x = newX; y = newY; }
+    void setXY (ValueType newX, ValueType newY) noexcept               { x = newX; y = newY; }
 
     /** Adds a pair of coordinates to this value. */
-    void addXY (ValueType xToAdd, ValueType yToAdd) noexcept                { x += xToAdd; y += yToAdd; }
+    void addXY (ValueType xToAdd, ValueType yToAdd) noexcept           { x += xToAdd; y += yToAdd; }
 
     //==============================================================================
     /** Returns a point with a given offset from this one. */
-    JUCE_CONSTEXPR Point translated (ValueType deltaX, ValueType deltaY) const noexcept    { return Point (x + deltaX, y + deltaY); }
+    constexpr Point translated (ValueType deltaX, ValueType deltaY) const noexcept    { return Point (x + deltaX, y + deltaY); }
 
     /** Adds two points together */
-    JUCE_CONSTEXPR Point operator+ (Point other) const noexcept             { return Point (x + other.x, y + other.y); }
+    constexpr Point operator+ (Point other) const noexcept             { return Point (x + other.x, y + other.y); }
 
     /** Adds another point's coordinates to this one */
-    Point& operator+= (Point other) noexcept                                { x += other.x; y += other.y; return *this; }
+    Point& operator+= (Point other) noexcept                           { x += other.x; y += other.y; return *this; }
 
     /** Subtracts one points from another */
-    JUCE_CONSTEXPR Point operator- (Point other) const noexcept             { return Point (x - other.x, y - other.y); }
+    constexpr Point operator- (Point other) const noexcept             { return Point (x - other.x, y - other.y); }
 
     /** Subtracts another point's coordinates to this one */
-    Point& operator-= (Point other) noexcept                                { x -= other.x; y -= other.y; return *this; }
+    Point& operator-= (Point other) noexcept                           { x -= other.x; y -= other.y; return *this; }
 
     /** Multiplies two points together */
     template <typename OtherType>
-    JUCE_CONSTEXPR Point operator* (Point<OtherType> other) const noexcept  { return Point ((ValueType) (x * other.x), (ValueType) (y * other.y)); }
+    constexpr Point operator* (Point<OtherType> other) const noexcept  { return Point ((ValueType) (x * other.x), (ValueType) (y * other.y)); }
 
     /** Multiplies another point's coordinates to this one */
     template <typename OtherType>
-    Point& operator*= (Point<OtherType> other) noexcept                     { *this = *this * other; return *this; }
+    Point& operator*= (Point<OtherType> other) noexcept                { *this = *this * other; return *this; }
 
     /** Divides one point by another */
     template <typename OtherType>
-    JUCE_CONSTEXPR Point operator/ (Point<OtherType> other) const noexcept  { return Point ((ValueType) (x / other.x), (ValueType) (y / other.y)); }
+    constexpr Point operator/ (Point<OtherType> other) const noexcept  { return Point ((ValueType) (x / other.x), (ValueType) (y / other.y)); }
 
     /** Divides this point's coordinates by another */
     template <typename OtherType>
-    Point& operator/= (Point<OtherType> other) noexcept                     { *this = *this / other; return *this; }
+    Point& operator/= (Point<OtherType> other) noexcept                { *this = *this / other; return *this; }
 
     /** Returns a point whose coordinates are multiplied by a given scalar value. */
     template <typename FloatType>
-    JUCE_CONSTEXPR Point operator* (FloatType multiplier) const noexcept    { return Point ((ValueType) (x * multiplier), (ValueType) (y * multiplier)); }
+    constexpr Point operator* (FloatType multiplier) const noexcept    { return Point ((ValueType) (x * multiplier), (ValueType) (y * multiplier)); }
 
     /** Returns a point whose coordinates are divided by a given scalar value. */
     template <typename FloatType>
-    JUCE_CONSTEXPR Point operator/ (FloatType divisor) const noexcept       { return Point ((ValueType) (x / divisor), (ValueType) (y / divisor)); }
+    constexpr Point operator/ (FloatType divisor) const noexcept       { return Point ((ValueType) (x / divisor), (ValueType) (y / divisor)); }
 
     /** Multiplies the point's coordinates by a scalar value. */
     template <typename FloatType>
-    Point& operator*= (FloatType multiplier) noexcept                       { x = (ValueType) (x * multiplier); y = (ValueType) (y * multiplier); return *this; }
+    Point& operator*= (FloatType multiplier) noexcept                  { x = (ValueType) (x * multiplier); y = (ValueType) (y * multiplier); return *this; }
 
     /** Divides the point's coordinates by a scalar value. */
     template <typename FloatType>
-    Point& operator/= (FloatType divisor) noexcept                          { x = (ValueType) (x / divisor); y = (ValueType) (y / divisor); return *this; }
+    Point& operator/= (FloatType divisor) noexcept                     { x = (ValueType) (x / divisor); y = (ValueType) (y / divisor); return *this; }
 
     /** Returns the inverse of this point. */
-    JUCE_CONSTEXPR Point operator-() const noexcept                         { return Point (-x, -y); }
+    constexpr Point operator-() const noexcept                         { return Point (-x, -y); }
 
     //==============================================================================
     /** This type will be double if the Point's type is double, otherwise it will be float. */
@@ -145,16 +145,16 @@ public:
 
     //==============================================================================
     /** Returns the straight-line distance between this point and the origin. */
-    ValueType getDistanceFromOrigin() const noexcept                               { return juce_hypot (x, y); }
+    ValueType getDistanceFromOrigin() const noexcept                          { return juce_hypot (x, y); }
 
     /** Returns the straight-line distance between this point and another one. */
-    ValueType getDistanceFrom (Point other) const noexcept                         { return juce_hypot (x - other.x, y - other.y); }
+    ValueType getDistanceFrom (Point other) const noexcept                    { return juce_hypot (x - other.x, y - other.y); }
 
     /** Returns the square of the straight-line distance between this point and the origin. */
-    JUCE_CONSTEXPR ValueType getDistanceSquaredFromOrigin() const noexcept         { return x * x + y * y; }
+    constexpr ValueType getDistanceSquaredFromOrigin() const noexcept         { return x * x + y * y; }
 
     /** Returns the square of the straight-line distance between this point and another one. */
-    JUCE_CONSTEXPR ValueType getDistanceSquaredFrom (Point other) const noexcept   { return (*this - other).getDistanceSquaredFromOrigin(); }
+    constexpr ValueType getDistanceSquaredFrom (Point other) const noexcept   { return (*this - other).getDistanceSquaredFromOrigin(); }
 
     /** Returns the angle from this point to another one.
 
@@ -200,7 +200,7 @@ public:
     }
 
     /** Returns the dot-product of two points (x1 * x2 + y1 * y2). */
-    JUCE_CONSTEXPR FloatType getDotProduct (Point other) const noexcept          { return x * other.x + y * other.y; }
+    constexpr FloatType getDotProduct (Point other) const noexcept     { return x * other.x + y * other.y; }
 
     //==============================================================================
     /** Uses a transform to change the point's coordinates.
@@ -219,16 +219,16 @@ public:
 
     //==============================================================================
     /** Casts this point to a Point<int> object. */
-    JUCE_CONSTEXPR Point<int> toInt() const noexcept              { return Point<int> (static_cast<int> (x), static_cast<int> (y)); }
+    constexpr Point<int> toInt() const noexcept              { return Point<int> (static_cast<int> (x), static_cast<int> (y)); }
 
     /** Casts this point to a Point<float> object. */
-    JUCE_CONSTEXPR Point<float> toFloat() const noexcept          { return Point<float> (static_cast<float> (x), static_cast<float> (y)); }
+    constexpr Point<float> toFloat() const noexcept          { return Point<float> (static_cast<float> (x), static_cast<float> (y)); }
 
     /** Casts this point to a Point<double> object. */
-    JUCE_CONSTEXPR Point<double> toDouble() const noexcept        { return Point<double> (static_cast<double> (x), static_cast<double> (y)); }
+    constexpr Point<double> toDouble() const noexcept        { return Point<double> (static_cast<double> (x), static_cast<double> (y)); }
 
     /** Casts this point to a Point<int> object using roundToInt() to convert the values. */
-    JUCE_CONSTEXPR Point<int> roundToInt() const noexcept         { return Point<int> (juce::roundToInt (x), juce::roundToInt (y)); }
+    constexpr Point<int> roundToInt() const noexcept         { return Point<int> (juce::roundToInt (x), juce::roundToInt (y)); }
 
     /** Returns the point as a string in the form "x, y". */
     String toString() const                                       { return String (x) + ", " + String (y); }
diff --git a/modules/juce_gui_basics/juce_gui_basics.cpp b/modules/juce_gui_basics/juce_gui_basics.cpp
index 9143cec5ae..1039c5461d 100644
--- a/modules/juce_gui_basics/juce_gui_basics.cpp
+++ b/modules/juce_gui_basics/juce_gui_basics.cpp
@@ -263,10 +263,8 @@ namespace juce
 #include "misc/juce_JUCESplashScreen.cpp"
 
 #include "layout/juce_FlexBox.cpp"
-#if JUCE_HAS_CONSTEXPR
- #include "layout/juce_GridItem.cpp"
- #include "layout/juce_Grid.cpp"
-#endif
+#include "layout/juce_GridItem.cpp"
+#include "layout/juce_Grid.cpp"
 
 #if JUCE_IOS || JUCE_WINDOWS
  #include "native/juce_MultiTouchMapper.h"
diff --git a/modules/juce_gui_basics/juce_gui_basics.h b/modules/juce_gui_basics/juce_gui_basics.h
index dbe42b2817..9133d8da93 100644
--- a/modules/juce_gui_basics/juce_gui_basics.h
+++ b/modules/juce_gui_basics/juce_gui_basics.h
@@ -159,9 +159,7 @@ namespace juce
     class Displays;
 
     class FlexBox;
-    #if JUCE_HAS_CONSTEXPR
-     class Grid;
-    #endif
+    class Grid;
 }
 
 #include "mouse/juce_MouseCursor.h"
@@ -305,7 +303,5 @@ namespace juce
 #include "layout/juce_FlexItem.h"
 #include "layout/juce_FlexBox.h"
 
-#if JUCE_HAS_CONSTEXPR
- #include "layout/juce_GridItem.h"
- #include "layout/juce_Grid.h"
-#endif
+#include "layout/juce_GridItem.h"
+#include "layout/juce_Grid.h"