diff --git a/compiler/rustc_const_eval/src/interpret/intrinsics.rs b/compiler/rustc_const_eval/src/interpret/intrinsics.rs
index b3f4fd5e2a107..816d1ab42fd05 100644
--- a/compiler/rustc_const_eval/src/interpret/intrinsics.rs
+++ b/compiler/rustc_const_eval/src/interpret/intrinsics.rs
@@ -440,6 +440,23 @@ impl<'tcx, M: Machine<'tcx>> InterpCx<'tcx, M> {
                 self.write_scalar(Scalar::from_target_usize(align.bytes(), self), dest)?;
             }
 
+            sym::minnumf16 | sym::maxnumf16 => {
+                let is_max = intrinsic_name == sym::maxnumf16;
+                self.float_min_max_intrinsic::<rustc_apfloat::ieee::Half>(is_max, args, dest)?;
+            }
+            sym::minnumf32 | sym::maxnumf32 => {
+                let is_max = intrinsic_name == sym::maxnumf32;
+                self.float_min_max_intrinsic::<rustc_apfloat::ieee::Single>(is_max, args, dest)?;
+            }
+            sym::minnumf64 | sym::maxnumf64 => {
+                let is_max = intrinsic_name == sym::maxnumf64;
+                self.float_min_max_intrinsic::<rustc_apfloat::ieee::Double>(is_max, args, dest)?;
+            }
+            sym::minnumf128 | sym::maxnumf128 => {
+                let is_max = intrinsic_name == sym::maxnumf128;
+                self.float_min_max_intrinsic::<rustc_apfloat::ieee::Quad>(is_max, args, dest)?;
+            }
+
             // Unsupported intrinsic: skip the return_to_block below.
             _ => return Ok(false),
         }
@@ -699,4 +716,30 @@ impl<'tcx, M: Machine<'tcx>> InterpCx<'tcx, M> {
         let rhs_bytes = get_bytes(self, rhs)?;
         Ok(Scalar::from_bool(lhs_bytes == rhs_bytes))
     }
+
+    fn float_min_max_intrinsic<F>(
+        &mut self,
+        is_max: bool,
+        args: &[OpTy<'tcx, M::Provenance>],
+        dest: &MPlaceTy<'tcx, M::Provenance>,
+    ) -> InterpResult<'tcx, ()>
+    where
+        F: rustc_apfloat::Float + rustc_apfloat::FloatConvert<F> + Into<Scalar<M::Provenance>>,
+    {
+        let a: F = self.read_scalar(&args[0])?.to_float()?;
+        let b: F = self.read_scalar(&args[1])?.to_float()?;
+        let res = if is_max { a.max(b) } else { a.min(b) };
+        self.write_scalar(adjust_nan(self, res, &[a, b]), dest)?;
+        Ok(())
+    }
+}
+
+// Performs appropriate non-deterministic adjustments of NaN results.
+fn adjust_nan<'tcx, M, F1, F2>(this: &InterpCx<'tcx, M>, f: F2, inputs: &[F1]) -> F2
+where
+    M: Machine<'tcx>,
+    F1: rustc_apfloat::Float + rustc_apfloat::FloatConvert<F2>,
+    F2: rustc_apfloat::Float,
+{
+    if f.is_nan() { M::generate_nan(this, inputs) } else { f }
 }
diff --git a/library/core/src/intrinsics.rs b/library/core/src/intrinsics.rs
index 7870a62ea81cd..ab5476d7f30f5 100644
--- a/library/core/src/intrinsics.rs
+++ b/library/core/src/intrinsics.rs
@@ -1821,104 +1821,6 @@ extern "rust-intrinsic" {
     #[rustc_nounwind]
     pub fn fabsf128(x: f128) -> f128;
 
-    /// Returns the minimum of two `f16` values.
-    ///
-    /// Note that, unlike most intrinsics, this is safe to call;
-    /// it does not require an `unsafe` block.
-    /// Therefore, implementations must not require the user to uphold
-    /// any safety invariants.
-    ///
-    /// The stabilized version of this intrinsic is
-    /// [`f16::min`]
-    #[rustc_safe_intrinsic]
-    #[rustc_nounwind]
-    pub fn minnumf16(x: f16, y: f16) -> f16;
-    /// Returns the minimum of two `f32` values.
-    ///
-    /// Note that, unlike most intrinsics, this is safe to call;
-    /// it does not require an `unsafe` block.
-    /// Therefore, implementations must not require the user to uphold
-    /// any safety invariants.
-    ///
-    /// The stabilized version of this intrinsic is
-    /// [`f32::min`]
-    #[rustc_safe_intrinsic]
-    #[rustc_nounwind]
-    pub fn minnumf32(x: f32, y: f32) -> f32;
-    /// Returns the minimum of two `f64` values.
-    ///
-    /// Note that, unlike most intrinsics, this is safe to call;
-    /// it does not require an `unsafe` block.
-    /// Therefore, implementations must not require the user to uphold
-    /// any safety invariants.
-    ///
-    /// The stabilized version of this intrinsic is
-    /// [`f64::min`]
-    #[rustc_safe_intrinsic]
-    #[rustc_nounwind]
-    pub fn minnumf64(x: f64, y: f64) -> f64;
-    /// Returns the minimum of two `f128` values.
-    ///
-    /// Note that, unlike most intrinsics, this is safe to call;
-    /// it does not require an `unsafe` block.
-    /// Therefore, implementations must not require the user to uphold
-    /// any safety invariants.
-    ///
-    /// The stabilized version of this intrinsic is
-    /// [`f128::min`]
-    #[rustc_safe_intrinsic]
-    #[rustc_nounwind]
-    pub fn minnumf128(x: f128, y: f128) -> f128;
-
-    /// Returns the maximum of two `f16` values.
-    ///
-    /// Note that, unlike most intrinsics, this is safe to call;
-    /// it does not require an `unsafe` block.
-    /// Therefore, implementations must not require the user to uphold
-    /// any safety invariants.
-    ///
-    /// The stabilized version of this intrinsic is
-    /// [`f16::max`]
-    #[rustc_safe_intrinsic]
-    #[rustc_nounwind]
-    pub fn maxnumf16(x: f16, y: f16) -> f16;
-    /// Returns the maximum of two `f32` values.
-    ///
-    /// Note that, unlike most intrinsics, this is safe to call;
-    /// it does not require an `unsafe` block.
-    /// Therefore, implementations must not require the user to uphold
-    /// any safety invariants.
-    ///
-    /// The stabilized version of this intrinsic is
-    /// [`f32::max`]
-    #[rustc_safe_intrinsic]
-    #[rustc_nounwind]
-    pub fn maxnumf32(x: f32, y: f32) -> f32;
-    /// Returns the maximum of two `f64` values.
-    ///
-    /// Note that, unlike most intrinsics, this is safe to call;
-    /// it does not require an `unsafe` block.
-    /// Therefore, implementations must not require the user to uphold
-    /// any safety invariants.
-    ///
-    /// The stabilized version of this intrinsic is
-    /// [`f64::max`]
-    #[rustc_safe_intrinsic]
-    #[rustc_nounwind]
-    pub fn maxnumf64(x: f64, y: f64) -> f64;
-    /// Returns the maximum of two `f128` values.
-    ///
-    /// Note that, unlike most intrinsics, this is safe to call;
-    /// it does not require an `unsafe` block.
-    /// Therefore, implementations must not require the user to uphold
-    /// any safety invariants.
-    ///
-    /// The stabilized version of this intrinsic is
-    /// [`f128::max`]
-    #[rustc_safe_intrinsic]
-    #[rustc_nounwind]
-    pub fn maxnumf128(x: f128, y: f128) -> f128;
-
     /// Copies the sign from `y` to `x` for `f16` values.
     ///
     /// The stabilized version of this intrinsic is
@@ -3493,6 +3395,146 @@ pub const unsafe fn write_bytes<T>(dst: *mut T, val: u8, count: usize) {
     }
 }
 
+/// Returns the minimum of two `f16` values.
+///
+/// Note that, unlike most intrinsics, this is safe to call;
+/// it does not require an `unsafe` block.
+/// Therefore, implementations must not require the user to uphold
+/// any safety invariants.
+///
+/// The stabilized version of this intrinsic is
+/// [`f16::min`]
+#[rustc_nounwind]
+// #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+#[rustc_const_unstable(feature = "f16", issue = "116909")]
+#[rustc_intrinsic]
+#[rustc_intrinsic_must_be_overridden]
+pub const fn minnumf16(_x: f16, _y: f16) -> f16 {
+    unimplemented!();
+}
+
+/// Returns the minimum of two `f32` values.
+///
+/// Note that, unlike most intrinsics, this is safe to call;
+/// it does not require an `unsafe` block.
+/// Therefore, implementations must not require the user to uphold
+/// any safety invariants.
+///
+/// The stabilized version of this intrinsic is
+/// [`f32::min`]
+#[rustc_nounwind]
+#[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+#[rustc_intrinsic]
+#[rustc_intrinsic_must_be_overridden]
+pub const fn minnumf32(_x: f32, _y: f32) -> f32 {
+    unimplemented!();
+}
+
+/// Returns the minimum of two `f64` values.
+///
+/// Note that, unlike most intrinsics, this is safe to call;
+/// it does not require an `unsafe` block.
+/// Therefore, implementations must not require the user to uphold
+/// any safety invariants.
+///
+/// The stabilized version of this intrinsic is
+/// [`f64::min`]
+#[rustc_nounwind]
+#[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+#[rustc_intrinsic]
+#[rustc_intrinsic_must_be_overridden]
+pub const fn minnumf64(_x: f64, _y: f64) -> f64 {
+    unimplemented!();
+}
+
+/// Returns the minimum of two `f128` values.
+///
+/// Note that, unlike most intrinsics, this is safe to call;
+/// it does not require an `unsafe` block.
+/// Therefore, implementations must not require the user to uphold
+/// any safety invariants.
+///
+/// The stabilized version of this intrinsic is
+/// [`f128::min`]
+#[rustc_nounwind]
+// #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+#[rustc_const_unstable(feature = "f128", issue = "116909")]
+#[rustc_intrinsic]
+#[rustc_intrinsic_must_be_overridden]
+pub const fn minnumf128(_x: f128, _y: f128) -> f128 {
+    unimplemented!();
+}
+
+/// Returns the maximum of two `f16` values.
+///
+/// Note that, unlike most intrinsics, this is safe to call;
+/// it does not require an `unsafe` block.
+/// Therefore, implementations must not require the user to uphold
+/// any safety invariants.
+///
+/// The stabilized version of this intrinsic is
+/// [`f16::max`]
+#[rustc_nounwind]
+// #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+#[rustc_const_unstable(feature = "f16", issue = "116909")]
+#[rustc_intrinsic]
+#[rustc_intrinsic_must_be_overridden]
+pub const fn maxnumf16(_x: f16, _y: f16) -> f16 {
+    unimplemented!();
+}
+
+/// Returns the maximum of two `f32` values.
+///
+/// Note that, unlike most intrinsics, this is safe to call;
+/// it does not require an `unsafe` block.
+/// Therefore, implementations must not require the user to uphold
+/// any safety invariants.
+///
+/// The stabilized version of this intrinsic is
+/// [`f32::max`]
+#[rustc_nounwind]
+#[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+#[rustc_intrinsic]
+#[rustc_intrinsic_must_be_overridden]
+pub const fn maxnumf32(_x: f32, _y: f32) -> f32 {
+    unimplemented!();
+}
+
+/// Returns the maximum of two `f64` values.
+///
+/// Note that, unlike most intrinsics, this is safe to call;
+/// it does not require an `unsafe` block.
+/// Therefore, implementations must not require the user to uphold
+/// any safety invariants.
+///
+/// The stabilized version of this intrinsic is
+/// [`f64::max`]
+#[rustc_nounwind]
+#[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+#[rustc_intrinsic]
+#[rustc_intrinsic_must_be_overridden]
+pub const fn maxnumf64(_x: f64, _y: f64) -> f64 {
+    unimplemented!();
+}
+
+/// Returns the maximum of two `f128` values.
+///
+/// Note that, unlike most intrinsics, this is safe to call;
+/// it does not require an `unsafe` block.
+/// Therefore, implementations must not require the user to uphold
+/// any safety invariants.
+///
+/// The stabilized version of this intrinsic is
+/// [`f128::max`]
+#[rustc_nounwind]
+// #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+#[rustc_const_unstable(feature = "f128", issue = "116909")]
+#[rustc_intrinsic]
+#[rustc_intrinsic_must_be_overridden]
+pub const fn maxnumf128(_x: f128, _y: f128) -> f128 {
+    unimplemented!();
+}
+
 /// Inform Miri that a given pointer definitely has a certain alignment.
 #[cfg(miri)]
 pub(crate) const fn miri_promise_symbolic_alignment(ptr: *const (), align: usize) {
diff --git a/library/core/src/lib.rs b/library/core/src/lib.rs
index 8826bf52b412f..09f41a9440514 100644
--- a/library/core/src/lib.rs
+++ b/library/core/src/lib.rs
@@ -123,6 +123,7 @@
 #![feature(const_eval_select)]
 #![feature(const_exact_div)]
 #![feature(const_float_classify)]
+#![feature(const_float_methods)]
 #![feature(const_fmt_arguments_new)]
 #![feature(const_hash)]
 #![feature(const_heap)]
diff --git a/library/core/src/num/f128.rs b/library/core/src/num/f128.rs
index 100271fa54c1f..7d516115aa18a 100644
--- a/library/core/src/num/f128.rs
+++ b/library/core/src/num/f128.rs
@@ -471,7 +471,9 @@ impl f128 {
     #[inline]
     #[must_use]
     #[unstable(feature = "f128", issue = "116909")]
-    pub fn is_sign_positive(self) -> bool {
+    // #[rustc_const_unstable(feature = "const_float_classify", issue = "72505")]
+    #[rustc_const_unstable(feature = "f128", issue = "116909")]
+    pub const fn is_sign_positive(self) -> bool {
         !self.is_sign_negative()
     }
 
@@ -497,7 +499,9 @@ impl f128 {
     #[inline]
     #[must_use]
     #[unstable(feature = "f128", issue = "116909")]
-    pub fn is_sign_negative(self) -> bool {
+    // #[rustc_const_unstable(feature = "const_float_classify", issue = "72505")]
+    #[rustc_const_unstable(feature = "f128", issue = "116909")]
+    pub const fn is_sign_negative(self) -> bool {
         // IEEE754 says: isSignMinus(x) is true if and only if x has negative sign. isSignMinus
         // applies to zeros and NaNs as well.
         // SAFETY: This is just transmuting to get the sign bit, it's fine.
@@ -538,7 +542,9 @@ impl f128 {
     #[inline]
     #[unstable(feature = "f128", issue = "116909")]
     // #[unstable(feature = "float_next_up_down", issue = "91399")]
-    pub fn next_up(self) -> Self {
+    #[rustc_const_unstable(feature = "f128", issue = "116909")]
+    // #[rustc_const_unstable(feature = "float_next_up_down", issue = "91399")]
+    pub const fn next_up(self) -> Self {
         // Some targets violate Rust's assumption of IEEE semantics, e.g. by flushing
         // denormals to zero. This is in general unsound and unsupported, but here
         // we do our best to still produce the correct result on such targets.
@@ -592,7 +598,9 @@ impl f128 {
     #[inline]
     #[unstable(feature = "f128", issue = "116909")]
     // #[unstable(feature = "float_next_up_down", issue = "91399")]
-    pub fn next_down(self) -> Self {
+    #[rustc_const_unstable(feature = "f128", issue = "116909")]
+    // #[rustc_const_unstable(feature = "float_next_up_down", issue = "91399")]
+    pub const fn next_down(self) -> Self {
         // Some targets violate Rust's assumption of IEEE semantics, e.g. by flushing
         // denormals to zero. This is in general unsound and unsupported, but here
         // we do our best to still produce the correct result on such targets.
@@ -627,8 +635,10 @@ impl f128 {
     /// ```
     #[inline]
     #[unstable(feature = "f128", issue = "116909")]
+    // #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+    #[rustc_const_unstable(feature = "f128", issue = "116909")]
     #[must_use = "this returns the result of the operation, without modifying the original"]
-    pub fn recip(self) -> Self {
+    pub const fn recip(self) -> Self {
         1.0 / self
     }
 
@@ -647,8 +657,9 @@ impl f128 {
     /// ```
     #[inline]
     #[unstable(feature = "f128", issue = "116909")]
+    #[rustc_const_unstable(feature = "f128", issue = "116909")]
     #[must_use = "this returns the result of the operation, without modifying the original"]
-    pub fn to_degrees(self) -> Self {
+    pub const fn to_degrees(self) -> Self {
         // Use a literal for better precision.
         const PIS_IN_180: f128 = 57.2957795130823208767981548141051703324054724665643215491602_f128;
         self * PIS_IN_180
@@ -670,8 +681,10 @@ impl f128 {
     /// ```
     #[inline]
     #[unstable(feature = "f128", issue = "116909")]
+    // #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+    #[rustc_const_unstable(feature = "f128", issue = "116909")]
     #[must_use = "this returns the result of the operation, without modifying the original"]
-    pub fn to_radians(self) -> f128 {
+    pub const fn to_radians(self) -> f128 {
         // Use a literal for better precision.
         const RADS_PER_DEG: f128 =
             0.0174532925199432957692369076848861271344287188854172545609719_f128;
@@ -698,8 +711,10 @@ impl f128 {
     /// ```
     #[inline]
     #[unstable(feature = "f128", issue = "116909")]
+    // #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+    #[rustc_const_unstable(feature = "f128", issue = "116909")]
     #[must_use = "this returns the result of the comparison, without modifying either input"]
-    pub fn max(self, other: f128) -> f128 {
+    pub const fn max(self, other: f128) -> f128 {
         intrinsics::maxnumf128(self, other)
     }
 
@@ -723,8 +738,10 @@ impl f128 {
     /// ```
     #[inline]
     #[unstable(feature = "f128", issue = "116909")]
+    // #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+    #[rustc_const_unstable(feature = "f128", issue = "116909")]
     #[must_use = "this returns the result of the comparison, without modifying either input"]
-    pub fn min(self, other: f128) -> f128 {
+    pub const fn min(self, other: f128) -> f128 {
         intrinsics::minnumf128(self, other)
     }
 
@@ -756,8 +773,9 @@ impl f128 {
     #[inline]
     #[unstable(feature = "f128", issue = "116909")]
     // #[unstable(feature = "float_minimum_maximum", issue = "91079")]
+    #[rustc_const_unstable(feature = "f128", issue = "116909")]
     #[must_use = "this returns the result of the comparison, without modifying either input"]
-    pub fn maximum(self, other: f128) -> f128 {
+    pub const fn maximum(self, other: f128) -> f128 {
         if self > other {
             self
         } else if other > self {
@@ -797,8 +815,9 @@ impl f128 {
     #[inline]
     #[unstable(feature = "f128", issue = "116909")]
     // #[unstable(feature = "float_minimum_maximum", issue = "91079")]
+    #[rustc_const_unstable(feature = "f128", issue = "116909")]
     #[must_use = "this returns the result of the comparison, without modifying either input"]
-    pub fn minimum(self, other: f128) -> f128 {
+    pub const fn minimum(self, other: f128) -> f128 {
         if self < other {
             self
         } else if other < self {
@@ -1269,9 +1288,20 @@ impl f128 {
     /// ```
     #[inline]
     #[unstable(feature = "f128", issue = "116909")]
+    // #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+    #[rustc_const_unstable(feature = "f128", issue = "116909")]
     #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn clamp(mut self, min: f128, max: f128) -> f128 {
-        assert!(min <= max, "min > max, or either was NaN. min = {min:?}, max = {max:?}");
+    pub const fn clamp(mut self, min: f128, max: f128) -> f128 {
+        const fn assert_at_const(min: f128, max: f128) {
+            // Note that we cannot format in constant expressions.
+            assert!(min <= max, "min > max, or either was NaN");
+        }
+        #[inline] // inline to avoid codegen regression
+        fn assert_at_rt(min: f128, max: f128) {
+            assert!(min <= max, "min > max, or either was NaN. min = {min:?}, max = {max:?}");
+        }
+        // FIXME(const-hack): We would prefer to have streamlined panics when formatters become const-friendly.
+        intrinsics::const_eval_select((min, max), assert_at_const, assert_at_rt);
         if self < min {
             self = min;
         }
diff --git a/library/core/src/num/f16.rs b/library/core/src/num/f16.rs
index 6bdc569df28bd..5b8cfbf1bb25e 100644
--- a/library/core/src/num/f16.rs
+++ b/library/core/src/num/f16.rs
@@ -459,7 +459,9 @@ impl f16 {
     #[inline]
     #[must_use]
     #[unstable(feature = "f16", issue = "116909")]
-    pub fn is_sign_positive(self) -> bool {
+    // #[rustc_const_unstable(feature = "const_float_classify", issue = "72505")]
+    #[rustc_const_unstable(feature = "f16", issue = "116909")]
+    pub const fn is_sign_positive(self) -> bool {
         !self.is_sign_negative()
     }
 
@@ -488,7 +490,9 @@ impl f16 {
     #[inline]
     #[must_use]
     #[unstable(feature = "f16", issue = "116909")]
-    pub fn is_sign_negative(self) -> bool {
+    // #[rustc_const_unstable(feature = "const_float_classify", issue = "72505")]
+    #[rustc_const_unstable(feature = "f16", issue = "116909")]
+    pub const fn is_sign_negative(self) -> bool {
         // IEEE754 says: isSignMinus(x) is true if and only if x has negative sign. isSignMinus
         // applies to zeros and NaNs as well.
         // SAFETY: This is just transmuting to get the sign bit, it's fine.
@@ -529,7 +533,9 @@ impl f16 {
     #[inline]
     #[unstable(feature = "f16", issue = "116909")]
     // #[unstable(feature = "float_next_up_down", issue = "91399")]
-    pub fn next_up(self) -> Self {
+    #[rustc_const_unstable(feature = "f16", issue = "116909")]
+    // #[rustc_const_unstable(feature = "float_next_up_down", issue = "91399")]
+    pub const fn next_up(self) -> Self {
         // Some targets violate Rust's assumption of IEEE semantics, e.g. by flushing
         // denormals to zero. This is in general unsound and unsupported, but here
         // we do our best to still produce the correct result on such targets.
@@ -583,7 +589,9 @@ impl f16 {
     #[inline]
     #[unstable(feature = "f16", issue = "116909")]
     // #[unstable(feature = "float_next_up_down", issue = "91399")]
-    pub fn next_down(self) -> Self {
+    #[rustc_const_unstable(feature = "f16", issue = "116909")]
+    // #[rustc_const_unstable(feature = "float_next_up_down", issue = "91399")]
+    pub const fn next_down(self) -> Self {
         // Some targets violate Rust's assumption of IEEE semantics, e.g. by flushing
         // denormals to zero. This is in general unsound and unsupported, but here
         // we do our best to still produce the correct result on such targets.
@@ -618,8 +626,10 @@ impl f16 {
     /// ```
     #[inline]
     #[unstable(feature = "f16", issue = "116909")]
+    // #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+    #[rustc_const_unstable(feature = "f16", issue = "116909")]
     #[must_use = "this returns the result of the operation, without modifying the original"]
-    pub fn recip(self) -> Self {
+    pub const fn recip(self) -> Self {
         1.0 / self
     }
 
@@ -638,8 +648,10 @@ impl f16 {
     /// ```
     #[inline]
     #[unstable(feature = "f16", issue = "116909")]
+    // #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+    #[rustc_const_unstable(feature = "f16", issue = "116909")]
     #[must_use = "this returns the result of the operation, without modifying the original"]
-    pub fn to_degrees(self) -> Self {
+    pub const fn to_degrees(self) -> Self {
         // Use a literal for better precision.
         const PIS_IN_180: f16 = 57.2957795130823208767981548141051703_f16;
         self * PIS_IN_180
@@ -661,8 +673,10 @@ impl f16 {
     /// ```
     #[inline]
     #[unstable(feature = "f16", issue = "116909")]
+    // #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+    #[rustc_const_unstable(feature = "f16", issue = "116909")]
     #[must_use = "this returns the result of the operation, without modifying the original"]
-    pub fn to_radians(self) -> f16 {
+    pub const fn to_radians(self) -> f16 {
         // Use a literal for better precision.
         const RADS_PER_DEG: f16 = 0.017453292519943295769236907684886_f16;
         self * RADS_PER_DEG
@@ -687,8 +701,10 @@ impl f16 {
     /// ```
     #[inline]
     #[unstable(feature = "f16", issue = "116909")]
+    // #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+    #[rustc_const_unstable(feature = "f16", issue = "116909")]
     #[must_use = "this returns the result of the comparison, without modifying either input"]
-    pub fn max(self, other: f16) -> f16 {
+    pub const fn max(self, other: f16) -> f16 {
         intrinsics::maxnumf16(self, other)
     }
 
@@ -711,8 +727,10 @@ impl f16 {
     /// ```
     #[inline]
     #[unstable(feature = "f16", issue = "116909")]
+    // #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+    #[rustc_const_unstable(feature = "f16", issue = "116909")]
     #[must_use = "this returns the result of the comparison, without modifying either input"]
-    pub fn min(self, other: f16) -> f16 {
+    pub const fn min(self, other: f16) -> f16 {
         intrinsics::minnumf16(self, other)
     }
 
@@ -743,8 +761,9 @@ impl f16 {
     #[inline]
     #[unstable(feature = "f16", issue = "116909")]
     // #[unstable(feature = "float_minimum_maximum", issue = "91079")]
+    #[rustc_const_unstable(feature = "f16", issue = "116909")]
     #[must_use = "this returns the result of the comparison, without modifying either input"]
-    pub fn maximum(self, other: f16) -> f16 {
+    pub const fn maximum(self, other: f16) -> f16 {
         if self > other {
             self
         } else if other > self {
@@ -783,8 +802,9 @@ impl f16 {
     #[inline]
     #[unstable(feature = "f16", issue = "116909")]
     // #[unstable(feature = "float_minimum_maximum", issue = "91079")]
+    #[rustc_const_unstable(feature = "f16", issue = "116909")]
     #[must_use = "this returns the result of the comparison, without modifying either input"]
-    pub fn minimum(self, other: f16) -> f16 {
+    pub const fn minimum(self, other: f16) -> f16 {
         if self < other {
             self
         } else if other < self {
@@ -1244,9 +1264,20 @@ impl f16 {
     /// ```
     #[inline]
     #[unstable(feature = "f16", issue = "116909")]
+    // #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
+    #[rustc_const_unstable(feature = "f16", issue = "116909")]
     #[must_use = "method returns a new number and does not mutate the original value"]
-    pub fn clamp(mut self, min: f16, max: f16) -> f16 {
-        assert!(min <= max, "min > max, or either was NaN. min = {min:?}, max = {max:?}");
+    pub const fn clamp(mut self, min: f16, max: f16) -> f16 {
+        const fn assert_at_const(min: f16, max: f16) {
+            // Note that we cannot format in constant expressions.
+            assert!(min <= max, "min > max, or either was NaN");
+        }
+        #[inline] // inline to avoid codegen regression
+        fn assert_at_rt(min: f16, max: f16) {
+            assert!(min <= max, "min > max, or either was NaN. min = {min:?}, max = {max:?}");
+        }
+        // FIXME(const-hack): We would prefer to have streamlined panics when formatters become const-friendly.
+        intrinsics::const_eval_select((min, max), assert_at_const, assert_at_rt);
         if self < min {
             self = min;
         }
diff --git a/library/core/src/num/f32.rs b/library/core/src/num/f32.rs
index 4c2a4ee3b3255..c9f571d2ecf83 100644
--- a/library/core/src/num/f32.rs
+++ b/library/core/src/num/f32.rs
@@ -828,8 +828,9 @@ impl f32 {
     /// ```
     #[must_use = "this returns the result of the operation, without modifying the original"]
     #[stable(feature = "rust1", since = "1.0.0")]
+    #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
     #[inline]
-    pub fn recip(self) -> f32 {
+    pub const fn recip(self) -> f32 {
         1.0 / self
     }
 
@@ -845,8 +846,9 @@ impl f32 {
     #[must_use = "this returns the result of the operation, \
                   without modifying the original"]
     #[stable(feature = "f32_deg_rad_conversions", since = "1.7.0")]
+    #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
     #[inline]
-    pub fn to_degrees(self) -> f32 {
+    pub const fn to_degrees(self) -> f32 {
         // Use a constant for better precision.
         const PIS_IN_180: f32 = 57.2957795130823208767981548141051703_f32;
         self * PIS_IN_180
@@ -864,8 +866,9 @@ impl f32 {
     #[must_use = "this returns the result of the operation, \
                   without modifying the original"]
     #[stable(feature = "f32_deg_rad_conversions", since = "1.7.0")]
+    #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
     #[inline]
-    pub fn to_radians(self) -> f32 {
+    pub const fn to_radians(self) -> f32 {
         const RADS_PER_DEG: f32 = consts::PI / 180.0;
         self * RADS_PER_DEG
     }
@@ -885,8 +888,9 @@ impl f32 {
     /// ```
     #[must_use = "this returns the result of the comparison, without modifying either input"]
     #[stable(feature = "rust1", since = "1.0.0")]
+    #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
     #[inline]
-    pub fn max(self, other: f32) -> f32 {
+    pub const fn max(self, other: f32) -> f32 {
         intrinsics::maxnumf32(self, other)
     }
 
@@ -905,8 +909,9 @@ impl f32 {
     /// ```
     #[must_use = "this returns the result of the comparison, without modifying either input"]
     #[stable(feature = "rust1", since = "1.0.0")]
+    #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
     #[inline]
-    pub fn min(self, other: f32) -> f32 {
+    pub const fn min(self, other: f32) -> f32 {
         intrinsics::minnumf32(self, other)
     }
 
@@ -932,8 +937,9 @@ impl f32 {
     /// operand is conserved; see the [specification of NaN bit patterns](f32#nan-bit-patterns) for more info.
     #[must_use = "this returns the result of the comparison, without modifying either input"]
     #[unstable(feature = "float_minimum_maximum", issue = "91079")]
+    #[rustc_const_unstable(feature = "float_minimum_maximum", issue = "91079")]
     #[inline]
-    pub fn maximum(self, other: f32) -> f32 {
+    pub const fn maximum(self, other: f32) -> f32 {
         if self > other {
             self
         } else if other > self {
@@ -967,8 +973,9 @@ impl f32 {
     /// operand is conserved; see the [specification of NaN bit patterns](f32#nan-bit-patterns) for more info.
     #[must_use = "this returns the result of the comparison, without modifying either input"]
     #[unstable(feature = "float_minimum_maximum", issue = "91079")]
+    #[rustc_const_unstable(feature = "float_minimum_maximum", issue = "91079")]
     #[inline]
-    pub fn minimum(self, other: f32) -> f32 {
+    pub const fn minimum(self, other: f32) -> f32 {
         if self < other {
             self
         } else if other < self {
@@ -1401,9 +1408,19 @@ impl f32 {
     /// ```
     #[must_use = "method returns a new number and does not mutate the original value"]
     #[stable(feature = "clamp", since = "1.50.0")]
+    #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
     #[inline]
-    pub fn clamp(mut self, min: f32, max: f32) -> f32 {
-        assert!(min <= max, "min > max, or either was NaN. min = {min:?}, max = {max:?}");
+    pub const fn clamp(mut self, min: f32, max: f32) -> f32 {
+        const fn assert_at_const(min: f32, max: f32) {
+            // Note that we cannot format in constant expressions.
+            assert!(min <= max, "min > max, or either was NaN");
+        }
+        #[inline] // inline to avoid codegen regression
+        fn assert_at_rt(min: f32, max: f32) {
+            assert!(min <= max, "min > max, or either was NaN. min = {min:?}, max = {max:?}");
+        }
+        // FIXME(const-hack): We would prefer to have streamlined panics when formatters become const-friendly.
+        intrinsics::const_eval_select((min, max), assert_at_const, assert_at_rt);
         if self < min {
             self = min;
         }
diff --git a/library/core/src/num/f64.rs b/library/core/src/num/f64.rs
index 87fb5fe7ebeea..178e4fa3b7a47 100644
--- a/library/core/src/num/f64.rs
+++ b/library/core/src/num/f64.rs
@@ -845,8 +845,9 @@ impl f64 {
     /// ```
     #[must_use = "this returns the result of the operation, without modifying the original"]
     #[stable(feature = "rust1", since = "1.0.0")]
+    #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
     #[inline]
-    pub fn recip(self) -> f64 {
+    pub const fn recip(self) -> f64 {
         1.0 / self
     }
 
@@ -862,8 +863,9 @@ impl f64 {
     #[must_use = "this returns the result of the operation, \
                   without modifying the original"]
     #[stable(feature = "rust1", since = "1.0.0")]
+    #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
     #[inline]
-    pub fn to_degrees(self) -> f64 {
+    pub const fn to_degrees(self) -> f64 {
         // The division here is correctly rounded with respect to the true
         // value of 180/π. (This differs from f32, where a constant must be
         // used to ensure a correctly rounded result.)
@@ -882,8 +884,9 @@ impl f64 {
     #[must_use = "this returns the result of the operation, \
                   without modifying the original"]
     #[stable(feature = "rust1", since = "1.0.0")]
+    #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
     #[inline]
-    pub fn to_radians(self) -> f64 {
+    pub const fn to_radians(self) -> f64 {
         const RADS_PER_DEG: f64 = consts::PI / 180.0;
         self * RADS_PER_DEG
     }
@@ -903,8 +906,9 @@ impl f64 {
     /// ```
     #[must_use = "this returns the result of the comparison, without modifying either input"]
     #[stable(feature = "rust1", since = "1.0.0")]
+    #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
     #[inline]
-    pub fn max(self, other: f64) -> f64 {
+    pub const fn max(self, other: f64) -> f64 {
         intrinsics::maxnumf64(self, other)
     }
 
@@ -923,8 +927,9 @@ impl f64 {
     /// ```
     #[must_use = "this returns the result of the comparison, without modifying either input"]
     #[stable(feature = "rust1", since = "1.0.0")]
+    #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
     #[inline]
-    pub fn min(self, other: f64) -> f64 {
+    pub const fn min(self, other: f64) -> f64 {
         intrinsics::minnumf64(self, other)
     }
 
@@ -950,8 +955,9 @@ impl f64 {
     /// operand is conserved; see the [specification of NaN bit patterns](f32#nan-bit-patterns) for more info.
     #[must_use = "this returns the result of the comparison, without modifying either input"]
     #[unstable(feature = "float_minimum_maximum", issue = "91079")]
+    #[rustc_const_unstable(feature = "float_minimum_maximum", issue = "91079")]
     #[inline]
-    pub fn maximum(self, other: f64) -> f64 {
+    pub const fn maximum(self, other: f64) -> f64 {
         if self > other {
             self
         } else if other > self {
@@ -985,8 +991,9 @@ impl f64 {
     /// operand is conserved; see the [specification of NaN bit patterns](f32#nan-bit-patterns) for more info.
     #[must_use = "this returns the result of the comparison, without modifying either input"]
     #[unstable(feature = "float_minimum_maximum", issue = "91079")]
+    #[rustc_const_unstable(feature = "float_minimum_maximum", issue = "91079")]
     #[inline]
-    pub fn minimum(self, other: f64) -> f64 {
+    pub const fn minimum(self, other: f64) -> f64 {
         if self < other {
             self
         } else if other < self {
@@ -1401,9 +1408,19 @@ impl f64 {
     /// ```
     #[must_use = "method returns a new number and does not mutate the original value"]
     #[stable(feature = "clamp", since = "1.50.0")]
+    #[rustc_const_unstable(feature = "const_float_methods", issue = "130843")]
     #[inline]
-    pub fn clamp(mut self, min: f64, max: f64) -> f64 {
-        assert!(min <= max, "min > max, or either was NaN. min = {min:?}, max = {max:?}");
+    pub const fn clamp(mut self, min: f64, max: f64) -> f64 {
+        const fn assert_at_const(min: f64, max: f64) {
+            // Note that we cannot format in constant expressions.
+            assert!(min <= max, "min > max, or either was NaN");
+        }
+        #[inline] // inline to avoid codegen regression
+        fn assert_at_rt(min: f64, max: f64) {
+            assert!(min <= max, "min > max, or either was NaN. min = {min:?}, max = {max:?}");
+        }
+        // FIXME(const-hack): We would prefer to have streamlined panics when formatters become const-friendly.
+        intrinsics::const_eval_select((min, max), assert_at_const, assert_at_rt);
         if self < min {
             self = min;
         }
diff --git a/src/tools/miri/src/intrinsics/mod.rs b/src/tools/miri/src/intrinsics/mod.rs
index 7acc99a8af03b..bfe8cf2c5d688 100644
--- a/src/tools/miri/src/intrinsics/mod.rs
+++ b/src/tools/miri/src/intrinsics/mod.rs
@@ -251,28 +251,18 @@ pub trait EvalContextExt<'tcx>: crate::MiriInterpCxExt<'tcx> {
                 this.write_scalar(res, dest)?;
             }
 
-            "minnumf32" | "maxnumf32" | "copysignf32" => {
+            "copysignf32" => {
                 let [a, b] = check_arg_count(args)?;
                 let a = this.read_scalar(a)?.to_f32()?;
                 let b = this.read_scalar(b)?.to_f32()?;
-                let res = match intrinsic_name {
-                    "minnumf32" => this.adjust_nan(a.min(b), &[a, b]),
-                    "maxnumf32" => this.adjust_nan(a.max(b), &[a, b]),
-                    "copysignf32" => a.copy_sign(b), // bitwise, no NaN adjustments
-                    _ => bug!(),
-                };
+                let res = a.copy_sign(b); // bitwise, no NaN adjustments
                 this.write_scalar(Scalar::from_f32(res), dest)?;
             }
-            "minnumf64" | "maxnumf64" | "copysignf64" => {
+            "copysignf64" => {
                 let [a, b] = check_arg_count(args)?;
                 let a = this.read_scalar(a)?.to_f64()?;
                 let b = this.read_scalar(b)?.to_f64()?;
-                let res = match intrinsic_name {
-                    "minnumf64" => this.adjust_nan(a.min(b), &[a, b]),
-                    "maxnumf64" => this.adjust_nan(a.max(b), &[a, b]),
-                    "copysignf64" => a.copy_sign(b), // bitwise, no NaN adjustments
-                    _ => bug!(),
-                };
+                let res = a.copy_sign(b); // bitwise, no NaN adjustments
                 this.write_scalar(Scalar::from_f64(res), dest)?;
             }
 
diff --git a/tests/ui/consts/const-eval/float_min_max.rs b/tests/ui/consts/const-eval/float_min_max.rs
new file mode 100644
index 0000000000000..38644c5d0711c
--- /dev/null
+++ b/tests/ui/consts/const-eval/float_min_max.rs
@@ -0,0 +1,30 @@
+//@ run-pass
+
+#![feature(const_float_methods)]
+#![feature(f16, f128)]
+
+const F16_MIN: f16 = 1.0_f16.min(0.5_f16);
+const F16_MAX: f16 = 1.0_f16.max(0.5_f16);
+
+const F32_MIN: f32 = 1.0_f32.min(0.5_f32);
+const F32_MAX: f32 = 1.0_f32.max(0.5_f32);
+
+const F64_MIN: f64 = 1.0_f64.min(0.5_f64);
+const F64_MAX: f64 = 1.0_f64.max(0.5_f64);
+
+const F128_MIN: f128 = 1.0_f128.min(0.5_f128);
+const F128_MAX: f128 = 1.0_f128.max(0.5_f128);
+
+fn main() {
+    assert_eq!(F16_MIN, 0.5);
+    assert_eq!(F16_MAX, 1.0);
+
+    assert_eq!(F32_MIN, 0.5);
+    assert_eq!(F32_MAX, 1.0);
+
+    assert_eq!(F64_MIN, 0.5);
+    assert_eq!(F64_MAX, 1.0);
+
+    assert_eq!(F128_MIN, 0.5);
+    assert_eq!(F128_MAX, 1.0);
+}