diff --git a/flang/include/flang/Common/MathOptionsBase.def b/flang/include/flang/Common/MathOptionsBase.def
--- a/flang/include/flang/Common/MathOptionsBase.def
+++ b/flang/include/flang/Common/MathOptionsBase.def
@@ -22,4 +22,20 @@
 /// Permit floating point optimizations without regard to infinities.
 ENUM_MATHOPT(NoHonorInfs, unsigned, 1, 0)
 
+/// Permit floating point optimization without regard to NaN
+ENUM_MATHOPT(NoHonorNaNs, unsigned, 1, 0)
+
+/// Allow math functions to be replaced with an approximately equivalent
+/// calculation
+ENUM_MATHOPT(ApproxFunc, unsigned, 1, 0)
+
+/// Allow optimizations that ignore the sign of floating point zeros
+ENUM_MATHOPT(NoSignedZeros, unsigned, 1, 0)
+
+/// Allow reassociation transformations for floating-point instructions
+ENUM_MATHOPT(AssociativeMath, unsigned, 1, 0)
+
+/// Allow division operations to be reassociated
+ENUM_MATHOPT(ReciprocalMath, unsigned, 1, 0)
+
 #undef ENUM_MATHOPT
diff --git a/flang/include/flang/Frontend/LangOptions.def b/flang/include/flang/Frontend/LangOptions.def
--- a/flang/include/flang/Frontend/LangOptions.def
+++ b/flang/include/flang/Frontend/LangOptions.def
@@ -25,7 +25,8 @@
 LANGOPT(NoHonorInfs, 1, false)
 /// Permit floating point optimization without regard to NaN
 LANGOPT(NoHonorNaNs, 1, false)
-/// Allow math functions to be replaced with an approximately equivalent calculation
+/// Allow math functions to be replaced with an approximately equivalent
+/// calculation
 LANGOPT(ApproxFunc, 1, false)
 /// Allow optimizations that ignore the sign of floating point zeros
 LANGOPT(NoSignedZeros, 1, false)
diff --git a/flang/lib/Frontend/CompilerInvocation.cpp b/flang/lib/Frontend/CompilerInvocation.cpp
--- a/flang/lib/Frontend/CompilerInvocation.cpp
+++ b/flang/lib/Frontend/CompilerInvocation.cpp
@@ -957,5 +957,10 @@
   mathOpts
       .setFPContractEnabled(langOptions.getFPContractMode() ==
                             LangOptions::FPM_Fast)
-      .setNoHonorInfs(langOptions.NoHonorInfs);
+      .setNoHonorInfs(langOptions.NoHonorInfs)
+      .setNoHonorNaNs(langOptions.NoHonorNaNs)
+      .setApproxFunc(langOptions.ApproxFunc)
+      .setNoSignedZeros(langOptions.NoSignedZeros)
+      .setAssociativeMath(langOptions.AssociativeMath)
+      .setReciprocalMath(langOptions.ReciprocalMath);
 }
diff --git a/flang/lib/Optimizer/Builder/FIRBuilder.cpp b/flang/lib/Optimizer/Builder/FIRBuilder.cpp
--- a/flang/lib/Optimizer/Builder/FIRBuilder.cpp
+++ b/flang/lib/Optimizer/Builder/FIRBuilder.cpp
@@ -592,6 +592,21 @@
   if (options.getNoHonorInfs()) {
     arithFMF = arithFMF | mlir::arith::FastMathFlags::ninf;
   }
+  if (options.getNoHonorNaNs()) {
+    arithFMF = arithFMF | mlir::arith::FastMathFlags::nnan;
+  }
+  if (options.getApproxFunc()) {
+    arithFMF = arithFMF | mlir::arith::FastMathFlags::afn;
+  }
+  if (options.getNoSignedZeros()) {
+    arithFMF = arithFMF | mlir::arith::FastMathFlags::nsz;
+  }
+  if (options.getAssociativeMath()) {
+    arithFMF = arithFMF | mlir::arith::FastMathFlags::reassoc;
+  }
+  if (options.getReciprocalMath()) {
+    arithFMF = arithFMF | mlir::arith::FastMathFlags::arcp;
+  }
   setFastMathFlags(arithFMF);
 }
 
diff --git a/flang/test/Lower/fast-math-arithmetic.f90 b/flang/test/Lower/fast-math-arithmetic.f90
--- a/flang/test/Lower/fast-math-arithmetic.f90
+++ b/flang/test/Lower/fast-math-arithmetic.f90
@@ -1,11 +1,23 @@
 ! RUN: %flang_fc1 -emit-fir -ffp-contract=fast %s -o - 2>&1 | FileCheck --check-prefixes=CONTRACT,ALL %s
 ! RUN: %flang_fc1 -emit-fir -menable-no-infs %s -o - 2>&1 | FileCheck --check-prefixes=NINF,ALL %s
+! RUN: %flang_fc1 -emit-fir -menable-no-nans %s -o - 2>&1 | FileCheck --check-prefixes=NNAN,ALL %s
+! RUN: %flang_fc1 -emit-fir -fapprox-func %s -o - 2>&1 | FileCheck --check-prefixes=AFN,ALL %s
+! RUN: %flang_fc1 -emit-fir -fno-signed-zeros %s -o - 2>&1 | FileCheck --check-prefixes=NSZ,ALL %s
+! RUN: %flang_fc1 -emit-fir -mreassociate %s -o - 2>&1 | FileCheck --check-prefixes=REASSOC,ALL %s
+! RUN: %flang_fc1 -emit-fir -freciprocal-math %s -o - 2>&1 | FileCheck --check-prefixes=ARCP,ALL %s
+! RUN: %flang_fc1 -emit-fir -ffp-contract=fast -menable-no-infs -menable-no-nans -fapprox-func -fno-signed-zeros -mreassociate -freciprocal-math %s -o - 2>&1 | FileCheck --check-prefixes=FAST,ALL %s
 
 ! ALL-LABEL: func.func @_QPtest
 subroutine test(x)
   real x
 ! CONTRACT: arith.mulf{{.*}}, {{.*}} fastmath<[[ATTRS:contract]]> : f32
 ! NINF: arith.mulf{{.*}}, {{.*}} fastmath<[[ATTRS:ninf]]> : f32
+! NNAN: arith.mulf{{.*}}, {{.*}} fastmath<[[ATTRS:nnan]]> : f32
+! AFN: arith.mulf{{.*}}, {{.*}} fastmath<[[ATTRS:afn]]> : f32
+! NSZ: arith.mulf{{.*}}, {{.*}} fastmath<[[ATTRS:nsz]]> : f32
+! REASSOC: arith.mulf{{.*}}, {{.*}} fastmath<[[ATTRS:reassoc]]> : f32
+! ARCP: arith.mulf{{.*}}, {{.*}} fastmath<[[ATTRS:arcp]]> : f32
+! FAST: arith.mulf{{.*}}, {{.*}} fastmath<[[ATTRS:fast]]> : f32
 ! ALL: arith.divf{{.*}}, {{.*}} fastmath<[[ATTRS]]> : f32
 ! ALL: arith.addf{{.*}}, {{.*}} fastmath<[[ATTRS]]> : f32
 ! ALL: arith.subf{{.*}}, {{.*}} fastmath<[[ATTRS]]> : f32