diff --git a/flang/lib/Lower/IntrinsicCall.cpp b/flang/lib/Lower/IntrinsicCall.cpp
--- a/flang/lib/Lower/IntrinsicCall.cpp
+++ b/flang/lib/Lower/IntrinsicCall.cpp
@@ -1044,6 +1044,11 @@
   return mlir::FunctionType::get(context, {t}, {t});
 }
 
+static mlir::FunctionType genF128F128FuncType(mlir::MLIRContext *context) {
+  mlir::Type t = mlir::FloatType::getF128(context);
+  return mlir::FunctionType::get(context, {t}, {t});
+}
+
 static mlir::FunctionType genF32F32F32FuncType(mlir::MLIRContext *context) {
   auto t = mlir::FloatType::getF32(context);
   return mlir::FunctionType::get(context, {t, t}, {t});
@@ -1179,6 +1184,8 @@
 static constexpr MathOperation mathOperations[] = {
     {"abs", "fabsf", genF32F32FuncType, genMathOp<mlir::math::AbsOp>},
     {"abs", "fabs", genF64F64FuncType, genMathOp<mlir::math::AbsOp>},
+    {"abs", "llvm.fabs.f128", genF128F128FuncType,
+     genMathOp<mlir::math::AbsOp>},
     // llvm.trunc behaves the same way as libm's trunc.
     {"aint", "llvm.trunc.f32", genF32F32FuncType, genLibCall},
     {"aint", "llvm.trunc.f64", genF64F64FuncType, genLibCall},
@@ -1196,6 +1203,8 @@
     {"ceil", "ceil", genF64F64FuncType, genMathOp<mlir::math::CeilOp>},
     {"cos", "cosf", genF32F32FuncType, genMathOp<mlir::math::CosOp>},
     {"cos", "cos", genF64F64FuncType, genMathOp<mlir::math::CosOp>},
+    {"cosh", "coshf", genF32F32FuncType, genLibCall},
+    {"cosh", "cosh", genF64F64FuncType, genLibCall},
     {"erf", "erff", genF32F32FuncType, genMathOp<mlir::math::ErfOp>},
     {"erf", "erf", genF64F64FuncType, genMathOp<mlir::math::ErfOp>},
     {"exp", "expf", genF32F32FuncType, genMathOp<mlir::math::ExpOp>},
@@ -1223,10 +1232,18 @@
      genMathOp<mlir::math::CopySignOp>},
     {"sign", "copysign", genF64F64F64FuncType,
      genMathOp<mlir::math::CopySignOp>},
+    {"sign", "copysignl", genF80F80F80FuncType,
+     genMathOp<mlir::math::CopySignOp>},
+    {"sign", "llvm.copysign.f128", genF128F128F128FuncType,
+     genMathOp<mlir::math::CopySignOp>},
     {"sin", "sinf", genF32F32FuncType, genMathOp<mlir::math::SinOp>},
     {"sin", "sin", genF64F64FuncType, genMathOp<mlir::math::SinOp>},
+    {"sinh", "sinhf", genF32F32FuncType, genLibCall},
+    {"sinh", "sinh", genF64F64FuncType, genLibCall},
     {"sqrt", "sqrtf", genF32F32FuncType, genMathOp<mlir::math::SqrtOp>},
     {"sqrt", "sqrt", genF64F64FuncType, genMathOp<mlir::math::SqrtOp>},
+    {"tan", "tanf", genF32F32FuncType, genMathOp<mlir::math::TanOp>},
+    {"tan", "tan", genF64F64FuncType, genMathOp<mlir::math::TanOp>},
     {"tanh", "tanhf", genF32F32FuncType, genMathOp<mlir::math::TanhOp>},
     {"tanh", "tanh", genF64F64FuncType, genMathOp<mlir::math::TanhOp>},
 };
@@ -1243,6 +1260,7 @@
 static constexpr RuntimeFunction llvmIntrinsics[] = {
     {"abs", "llvm.fabs.f32", genF32F32FuncType},
     {"abs", "llvm.fabs.f64", genF64F64FuncType},
+    {"abs", "llvm.fabs.f128", genF128F128FuncType},
     {"aint", "llvm.trunc.f32", genF32F32FuncType},
     {"aint", "llvm.trunc.f64", genF64F64FuncType},
     {"anint", "llvm.round.f32", genF32F32FuncType},
diff --git a/flang/test/Intrinsics/late-math-codegen.fir b/flang/test/Intrinsics/late-math-codegen.fir
--- a/flang/test/Intrinsics/late-math-codegen.fir
+++ b/flang/test/Intrinsics/late-math-codegen.fir
@@ -9,6 +9,9 @@
 // CHECK: @_QPtest_real8
 // CHECK: {{%[A-Za-z0-9._]+}} = "llvm.intr.fabs"({{%[A-Za-z0-9._]+}}) : (f64) -> f64
 
+// CHECK: @_QPtest_real16
+// CHECK: {{%[A-Za-z0-9._]+}} = "llvm.intr.fabs"({{%[A-Za-z0-9._]+}}) : (f128) -> f128
+
 // CHECK: @_QPtest_complex4
 // CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @hypotf({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f32, f32) -> f32
 
@@ -31,6 +34,14 @@
   %3 = fir.load %0 : !fir.ref<f64>
   return %3 : f64
 }
+func.func @_QPtest_real16(%arg0: !fir.ref<f128> {fir.bindc_name = "x"}) -> f128 {
+  %0 = fir.alloca f128 {bindc_name = "test_real16", uniq_name = "_QFtest_real16Etest_real16"}
+  %1 = fir.load %arg0 : !fir.ref<f128>
+  %2 = math.abs %1 : f128
+  fir.store %2 to %0 : !fir.ref<f128>
+  %3 = fir.load %0 : !fir.ref<f128>
+  return %3 : f128
+}
 func.func @_QPtest_complex4(%arg0: !fir.ref<!fir.complex<4>> {fir.bindc_name = "c"}) -> !fir.complex<4> {
   %0 = fir.alloca !fir.complex<4> {bindc_name = "test_complex4", uniq_name = "_QFtest_complex4Etest_complex4"}
   %1 = fir.load %arg0 : !fir.ref<!fir.complex<4>>
@@ -70,6 +81,9 @@
 // CHECK: @_QPtest_real8
 // CHECK: {{%[A-Za-z0-9._]+}} = "llvm.intr.fabs"({{%[A-Za-z0-9._]+}}) : (f64) -> f64
 
+// CHECK: @_QPtest_real16
+// CHECK: {{%[A-Za-z0-9._]+}} = "llvm.intr.fabs"({{%[A-Za-z0-9._]+}}) : (f128) -> f128
+
 // CHECK: @_QPtest_complex4
 // CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @hypotf({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f32, f32) -> f32
 
@@ -92,6 +106,14 @@
   %3 = fir.load %0 : !fir.ref<f64>
   return %3 : f64
 }
+func.func @_QPtest_real16(%arg0: !fir.ref<f128> {fir.bindc_name = "x"}) -> f128 {
+  %0 = fir.alloca f128 {bindc_name = "test_real16", uniq_name = "_QFtest_real16Etest_real16"}
+  %1 = fir.load %arg0 : !fir.ref<f128>
+  %2 = math.abs %1 : f128
+  fir.store %2 to %0 : !fir.ref<f128>
+  %3 = fir.load %0 : !fir.ref<f128>
+  return %3 : f128
+}
 func.func @_QPtest_complex4(%arg0: !fir.ref<!fir.complex<4>> {fir.bindc_name = "c"}) -> !fir.complex<4> {
   %0 = fir.alloca !fir.complex<4> {bindc_name = "test_complex4", uniq_name = "_QFtest_complex4Etest_complex4"}
   %1 = fir.load %arg0 : !fir.ref<!fir.complex<4>>
@@ -131,6 +153,9 @@
 // CHECK: @_QPtest_real8
 // CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @fabs({{%[A-Za-z0-9._]+}}) : (f64) -> f64
 
+// CHECK: @_QPtest_real16
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @llvm.fabs.f128({{%[A-Za-z0-9._]+}}) : (f128) -> f128
+
 // CHECK: @_QPtest_complex4
 // CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @hypotf({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f32, f32) -> f32
 
@@ -153,6 +178,14 @@
   %3 = fir.load %0 : !fir.ref<f64>
   return %3 : f64
 }
+func.func @_QPtest_real16(%arg0: !fir.ref<f128> {fir.bindc_name = "x"}) -> f128 {
+  %0 = fir.alloca f128 {bindc_name = "test_real16", uniq_name = "_QFtest_real16Etest_real16"}
+  %1 = fir.load %arg0 : !fir.ref<f128>
+  %2 = fir.call @llvm.fabs.f128(%1) : (f128) -> f128
+  fir.store %2 to %0 : !fir.ref<f128>
+  %3 = fir.load %0 : !fir.ref<f128>
+  return %3 : f128
+}
 func.func @_QPtest_complex4(%arg0: !fir.ref<!fir.complex<4>> {fir.bindc_name = "c"}) -> !fir.complex<4> {
   %0 = fir.alloca !fir.complex<4> {bindc_name = "test_complex4", uniq_name = "_QFtest_complex4Etest_complex4"}
   %1 = fir.load %arg0 : !fir.ref<!fir.complex<4>>
@@ -183,6 +216,7 @@
 }
 func.func private @fabsf(f32) -> f32
 func.func private @fabs(f64) -> f64
+func.func private @llvm.fabs.f128(f128) -> f128
 func.func private @hypotf(f32, f32) -> f32
 func.func private @hypot(f64, f64) -> f64
 
@@ -670,6 +704,87 @@
 func.func private @cosf(f32) -> f32
 func.func private @cos(f64) -> f64
 
+//--- cosh_fast.fir
+// RUN: fir-opt %t/cosh_fast.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/cosh_fast.fir
+// CHECK: @_QPtest_real4
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @coshf({{%[A-Za-z0-9._]+}}) : (f32) -> f32
+
+// CHECK: @_QPtest_real8
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @cosh({{%[A-Za-z0-9._]+}}) : (f64) -> f64
+
+func.func @_QPtest_real4(%arg0: !fir.ref<f32> {fir.bindc_name = "x"}) -> f32 {
+  %0 = fir.alloca f32 {bindc_name = "test_real4", uniq_name = "_QFtest_real4Etest_real4"}
+  %1 = fir.load %arg0 : !fir.ref<f32>
+  %2 = fir.call @coshf(%1) : (f32) -> f32
+  fir.store %2 to %0 : !fir.ref<f32>
+  %3 = fir.load %0 : !fir.ref<f32>
+  return %3 : f32
+}
+func.func @_QPtest_real8(%arg0: !fir.ref<f64> {fir.bindc_name = "x"}) -> f64 {
+  %0 = fir.alloca f64 {bindc_name = "test_real8", uniq_name = "_QFtest_real8Etest_real8"}
+  %1 = fir.load %arg0 : !fir.ref<f64>
+  %2 = fir.call @cosh(%1) : (f64) -> f64
+  fir.store %2 to %0 : !fir.ref<f64>
+  %3 = fir.load %0 : !fir.ref<f64>
+  return %3 : f64
+}
+func.func private @coshf(f32) -> f32
+func.func private @cosh(f64) -> f64
+
+//--- cosh_relaxed.fir
+// RUN: fir-opt %t/cosh_relaxed.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/cosh_relaxed.fir
+// CHECK: @_QPtest_real4
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @coshf({{%[A-Za-z0-9._]+}}) : (f32) -> f32
+
+// CHECK: @_QPtest_real8
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @cosh({{%[A-Za-z0-9._]+}}) : (f64) -> f64
+
+func.func @_QPtest_real4(%arg0: !fir.ref<f32> {fir.bindc_name = "x"}) -> f32 {
+  %0 = fir.alloca f32 {bindc_name = "test_real4", uniq_name = "_QFtest_real4Etest_real4"}
+  %1 = fir.load %arg0 : !fir.ref<f32>
+  %2 = fir.call @coshf(%1) : (f32) -> f32
+  fir.store %2 to %0 : !fir.ref<f32>
+  %3 = fir.load %0 : !fir.ref<f32>
+  return %3 : f32
+}
+func.func @_QPtest_real8(%arg0: !fir.ref<f64> {fir.bindc_name = "x"}) -> f64 {
+  %0 = fir.alloca f64 {bindc_name = "test_real8", uniq_name = "_QFtest_real8Etest_real8"}
+  %1 = fir.load %arg0 : !fir.ref<f64>
+  %2 = fir.call @cosh(%1) : (f64) -> f64
+  fir.store %2 to %0 : !fir.ref<f64>
+  %3 = fir.load %0 : !fir.ref<f64>
+  return %3 : f64
+}
+func.func private @coshf(f32) -> f32
+func.func private @cosh(f64) -> f64
+
+//--- cosh_precise.fir
+// RUN: fir-opt %t/cosh_precise.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/cosh_precise.fir
+// CHECK: @_QPtest_real4
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @coshf({{%[A-Za-z0-9._]+}}) : (f32) -> f32
+
+// CHECK: @_QPtest_real8
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @cosh({{%[A-Za-z0-9._]+}}) : (f64) -> f64
+
+func.func @_QPtest_real4(%arg0: !fir.ref<f32> {fir.bindc_name = "x"}) -> f32 {
+  %0 = fir.alloca f32 {bindc_name = "test_real4", uniq_name = "_QFtest_real4Etest_real4"}
+  %1 = fir.load %arg0 : !fir.ref<f32>
+  %2 = fir.call @coshf(%1) : (f32) -> f32
+  fir.store %2 to %0 : !fir.ref<f32>
+  %3 = fir.load %0 : !fir.ref<f32>
+  return %3 : f32
+}
+func.func @_QPtest_real8(%arg0: !fir.ref<f64> {fir.bindc_name = "x"}) -> f64 {
+  %0 = fir.alloca f64 {bindc_name = "test_real8", uniq_name = "_QFtest_real8Etest_real8"}
+  %1 = fir.load %arg0 : !fir.ref<f64>
+  %2 = fir.call @cosh(%1) : (f64) -> f64
+  fir.store %2 to %0 : !fir.ref<f64>
+  %3 = fir.load %0 : !fir.ref<f64>
+  return %3 : f64
+}
+func.func private @coshf(f32) -> f32
+func.func private @cosh(f64) -> f64
+
 //--- erf_fast.fir
 // RUN: fir-opt %t/erf_fast.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/erf_fast.fir
 // CHECK: @_QPtest_real4
@@ -1359,6 +1474,12 @@
 // CHECK: @_QPtest_real8
 // CHECK: {{%[A-Za-z0-9._]+}} = "llvm.intr.copysign"({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f64, f64) -> f64
 
+// CHECK: @_QPtest_real10
+// CHECK: {{%[A-Za-z0-9._]+}} = "llvm.intr.copysign"({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f80, f80) -> f80
+
+// CHECK: @_QPtest_real16
+// CHECK: {{%[A-Za-z0-9._]+}} = "llvm.intr.copysign"({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f128, f128) -> f128
+
 func.func @_QPtest_real4(%arg0: !fir.ref<f32> {fir.bindc_name = "x"}, %arg1: !fir.ref<f32> {fir.bindc_name = "y"}) -> f32 {
   %0 = fir.alloca f32 {bindc_name = "test_real4", uniq_name = "_QFtest_real4Etest_real4"}
   %1 = fir.load %arg0 : !fir.ref<f32>
@@ -1377,6 +1498,24 @@
   %4 = fir.load %0 : !fir.ref<f64>
   return %4 : f64
 }
+func.func @_QPtest_real10(%arg0: !fir.ref<f80> {fir.bindc_name = "x"}, %arg1: !fir.ref<f80> {fir.bindc_name = "y"}) -> f80 {
+  %0 = fir.alloca f80 {bindc_name = "test_real10", uniq_name = "_QFtest_real10Etest_real10"}
+  %1 = fir.load %arg0 : !fir.ref<f80>
+  %2 = fir.load %arg1 : !fir.ref<f80>
+  %3 = math.copysign %1, %2 : f80
+  fir.store %3 to %0 : !fir.ref<f80>
+  %4 = fir.load %0 : !fir.ref<f80>
+  return %4 : f80
+}
+func.func @_QPtest_real16(%arg0: !fir.ref<f128> {fir.bindc_name = "x"}, %arg1: !fir.ref<f128> {fir.bindc_name = "y"}) -> f128 {
+  %0 = fir.alloca f128 {bindc_name = "test_real16", uniq_name = "_QFtest_real16Etest_real16"}
+  %1 = fir.load %arg0 : !fir.ref<f128>
+  %2 = fir.load %arg1 : !fir.ref<f128>
+  %3 = math.copysign %1, %2 : f128
+  fir.store %3 to %0 : !fir.ref<f128>
+  %4 = fir.load %0 : !fir.ref<f128>
+  return %4 : f128
+}
 
 //--- sign_relaxed.fir
 // RUN: fir-opt %t/sign_relaxed.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/sign_relaxed.fir
@@ -1386,6 +1525,12 @@
 // CHECK: @_QPtest_real8
 // CHECK: {{%[A-Za-z0-9._]+}} = "llvm.intr.copysign"({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f64, f64) -> f64
 
+// CHECK: @_QPtest_real10
+// CHECK: {{%[A-Za-z0-9._]+}} = "llvm.intr.copysign"({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f80, f80) -> f80
+
+// CHECK: @_QPtest_real16
+// CHECK: {{%[A-Za-z0-9._]+}} = "llvm.intr.copysign"({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f128, f128) -> f128
+
 func.func @_QPtest_real4(%arg0: !fir.ref<f32> {fir.bindc_name = "x"}, %arg1: !fir.ref<f32> {fir.bindc_name = "y"}) -> f32 {
   %0 = fir.alloca f32 {bindc_name = "test_real4", uniq_name = "_QFtest_real4Etest_real4"}
   %1 = fir.load %arg0 : !fir.ref<f32>
@@ -1404,6 +1549,24 @@
   %4 = fir.load %0 : !fir.ref<f64>
   return %4 : f64
 }
+func.func @_QPtest_real10(%arg0: !fir.ref<f80> {fir.bindc_name = "x"}, %arg1: !fir.ref<f80> {fir.bindc_name = "y"}) -> f80 {
+  %0 = fir.alloca f80 {bindc_name = "test_real10", uniq_name = "_QFtest_real10Etest_real10"}
+  %1 = fir.load %arg0 : !fir.ref<f80>
+  %2 = fir.load %arg1 : !fir.ref<f80>
+  %3 = math.copysign %1, %2 : f80
+  fir.store %3 to %0 : !fir.ref<f80>
+  %4 = fir.load %0 : !fir.ref<f80>
+  return %4 : f80
+}
+func.func @_QPtest_real16(%arg0: !fir.ref<f128> {fir.bindc_name = "x"}, %arg1: !fir.ref<f128> {fir.bindc_name = "y"}) -> f128 {
+  %0 = fir.alloca f128 {bindc_name = "test_real16", uniq_name = "_QFtest_real16Etest_real16"}
+  %1 = fir.load %arg0 : !fir.ref<f128>
+  %2 = fir.load %arg1 : !fir.ref<f128>
+  %3 = math.copysign %1, %2 : f128
+  fir.store %3 to %0 : !fir.ref<f128>
+  %4 = fir.load %0 : !fir.ref<f128>
+  return %4 : f128
+}
 
 //--- sign_precise.fir
 // RUN: fir-opt %t/sign_precise.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/sign_precise.fir
@@ -1413,6 +1576,12 @@
 // CHECK: @_QPtest_real8
 // CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @copysign({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f64, f64) -> f64
 
+// CHECK: @_QPtest_real10
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @copysignl({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f80, f80) -> f80
+
+// CHECK: @_QPtest_real16
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @llvm.copysign.f128({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f128, f128) -> f128
+
 func.func @_QPtest_real4(%arg0: !fir.ref<f32> {fir.bindc_name = "x"}, %arg1: !fir.ref<f32> {fir.bindc_name = "y"}) -> f32 {
   %0 = fir.alloca f32 {bindc_name = "test_real4", uniq_name = "_QFtest_real4Etest_real4"}
   %1 = fir.load %arg0 : !fir.ref<f32>
@@ -1431,8 +1600,28 @@
   %4 = fir.load %0 : !fir.ref<f64>
   return %4 : f64
 }
+func.func @_QPtest_real10(%arg0: !fir.ref<f80> {fir.bindc_name = "x"}, %arg1: !fir.ref<f80> {fir.bindc_name = "y"}) -> f80 {
+  %0 = fir.alloca f80 {bindc_name = "test_real10", uniq_name = "_QFtest_real10Etest_real10"}
+  %1 = fir.load %arg0 : !fir.ref<f80>
+  %2 = fir.load %arg1 : !fir.ref<f80>
+  %3 = fir.call @copysignl(%1, %2) : (f80, f80) -> f80
+  fir.store %3 to %0 : !fir.ref<f80>
+  %4 = fir.load %0 : !fir.ref<f80>
+  return %4 : f80
+}
+func.func @_QPtest_real16(%arg0: !fir.ref<f128> {fir.bindc_name = "x"}, %arg1: !fir.ref<f128> {fir.bindc_name = "y"}) -> f128 {
+  %0 = fir.alloca f128 {bindc_name = "test_real16", uniq_name = "_QFtest_real16Etest_real16"}
+  %1 = fir.load %arg0 : !fir.ref<f128>
+  %2 = fir.load %arg1 : !fir.ref<f128>
+  %3 = fir.call @llvm.copysign.f128(%1, %2) : (f128, f128) -> f128
+  fir.store %3 to %0 : !fir.ref<f128>
+  %4 = fir.load %0 : !fir.ref<f128>
+  return %4 : f128
+}
 func.func private @copysignf(f32, f32) -> f32
 func.func private @copysign(f64, f64) -> f64
+func.func private @copysignl(f80, f80) -> f80
+func.func private @llvm.copysign.f128(f128, f128) -> f128
 
 //--- sin_fast.fir
 // RUN: fir-opt %t/sin_fast.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/sin_fast.fir
@@ -1511,6 +1700,87 @@
 func.func private @sinf(f32) -> f32
 func.func private @sin(f64) -> f64
 
+//--- sinh_fast.fir
+// RUN: fir-opt %t/sinh_fast.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/sinh_fast.fir
+// CHECK: @_QPtest_real4
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @sinhf({{%[A-Za-z0-9._]+}}) : (f32) -> f32
+
+// CHECK: @_QPtest_real8
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @sinh({{%[A-Za-z0-9._]+}}) : (f64) -> f64
+
+func.func @_QPtest_real4(%arg0: !fir.ref<f32> {fir.bindc_name = "x"}) -> f32 {
+  %0 = fir.alloca f32 {bindc_name = "test_real4", uniq_name = "_QFtest_real4Etest_real4"}
+  %1 = fir.load %arg0 : !fir.ref<f32>
+  %2 = fir.call @sinhf(%1) : (f32) -> f32
+  fir.store %2 to %0 : !fir.ref<f32>
+  %3 = fir.load %0 : !fir.ref<f32>
+  return %3 : f32
+}
+func.func @_QPtest_real8(%arg0: !fir.ref<f64> {fir.bindc_name = "x"}) -> f64 {
+  %0 = fir.alloca f64 {bindc_name = "test_real8", uniq_name = "_QFtest_real8Etest_real8"}
+  %1 = fir.load %arg0 : !fir.ref<f64>
+  %2 = fir.call @sinh(%1) : (f64) -> f64
+  fir.store %2 to %0 : !fir.ref<f64>
+  %3 = fir.load %0 : !fir.ref<f64>
+  return %3 : f64
+}
+func.func private @sinhf(f32) -> f32
+func.func private @sinh(f64) -> f64
+
+//--- sinh_relaxed.fir
+// RUN: fir-opt %t/sinh_relaxed.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/sinh_relaxed.fir
+// CHECK: @_QPtest_real4
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @sinhf({{%[A-Za-z0-9._]+}}) : (f32) -> f32
+
+// CHECK: @_QPtest_real8
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @sinh({{%[A-Za-z0-9._]+}}) : (f64) -> f64
+
+func.func @_QPtest_real4(%arg0: !fir.ref<f32> {fir.bindc_name = "x"}) -> f32 {
+  %0 = fir.alloca f32 {bindc_name = "test_real4", uniq_name = "_QFtest_real4Etest_real4"}
+  %1 = fir.load %arg0 : !fir.ref<f32>
+  %2 = fir.call @sinhf(%1) : (f32) -> f32
+  fir.store %2 to %0 : !fir.ref<f32>
+  %3 = fir.load %0 : !fir.ref<f32>
+  return %3 : f32
+}
+func.func @_QPtest_real8(%arg0: !fir.ref<f64> {fir.bindc_name = "x"}) -> f64 {
+  %0 = fir.alloca f64 {bindc_name = "test_real8", uniq_name = "_QFtest_real8Etest_real8"}
+  %1 = fir.load %arg0 : !fir.ref<f64>
+  %2 = fir.call @sinh(%1) : (f64) -> f64
+  fir.store %2 to %0 : !fir.ref<f64>
+  %3 = fir.load %0 : !fir.ref<f64>
+  return %3 : f64
+}
+func.func private @sinhf(f32) -> f32
+func.func private @sinh(f64) -> f64
+
+//--- sinh_precise.fir
+// RUN: fir-opt %t/sinh_precise.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/sinh_precise.fir
+// CHECK: @_QPtest_real4
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @sinhf({{%[A-Za-z0-9._]+}}) : (f32) -> f32
+
+// CHECK: @_QPtest_real8
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @sinh({{%[A-Za-z0-9._]+}}) : (f64) -> f64
+
+func.func @_QPtest_real4(%arg0: !fir.ref<f32> {fir.bindc_name = "x"}) -> f32 {
+  %0 = fir.alloca f32 {bindc_name = "test_real4", uniq_name = "_QFtest_real4Etest_real4"}
+  %1 = fir.load %arg0 : !fir.ref<f32>
+  %2 = fir.call @sinhf(%1) : (f32) -> f32
+  fir.store %2 to %0 : !fir.ref<f32>
+  %3 = fir.load %0 : !fir.ref<f32>
+  return %3 : f32
+}
+func.func @_QPtest_real8(%arg0: !fir.ref<f64> {fir.bindc_name = "x"}) -> f64 {
+  %0 = fir.alloca f64 {bindc_name = "test_real8", uniq_name = "_QFtest_real8Etest_real8"}
+  %1 = fir.load %arg0 : !fir.ref<f64>
+  %2 = fir.call @sinh(%1) : (f64) -> f64
+  fir.store %2 to %0 : !fir.ref<f64>
+  %3 = fir.load %0 : !fir.ref<f64>
+  return %3 : f64
+}
+func.func private @sinhf(f32) -> f32
+func.func private @sinh(f64) -> f64
+
 //--- tanh_fast.fir
 // RUN: fir-opt %t/tanh_fast.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/tanh_fast.fir
 // CHECK: @_QPtest_real4
@@ -1588,3 +1858,80 @@
 func.func private @tanhf(f32) -> f32
 func.func private @tanh(f64) -> f64
 
+//--- tan_fast.fir
+// RUN: fir-opt %t/tan_fast.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/tan_fast.fir
+// CHECK: @_QPtest_real4
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @tanf({{%[A-Za-z0-9._]+}}) : (f32) -> f32
+
+// CHECK: @_QPtest_real8
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @tan({{%[A-Za-z0-9._]+}}) : (f64) -> f64
+
+func.func @_QPtest_real4(%arg0: !fir.ref<f32> {fir.bindc_name = "x"}) -> f32 {
+  %0 = fir.alloca f32 {bindc_name = "test_real4", uniq_name = "_QFtest_real4Etest_real4"}
+  %1 = fir.load %arg0 : !fir.ref<f32>
+  %2 = math.tan %1 : f32
+  fir.store %2 to %0 : !fir.ref<f32>
+  %3 = fir.load %0 : !fir.ref<f32>
+  return %3 : f32
+}
+func.func @_QPtest_real8(%arg0: !fir.ref<f64> {fir.bindc_name = "x"}) -> f64 {
+  %0 = fir.alloca f64 {bindc_name = "test_real8", uniq_name = "_QFtest_real8Etest_real8"}
+  %1 = fir.load %arg0 : !fir.ref<f64>
+  %2 = math.tan %1 : f64
+  fir.store %2 to %0 : !fir.ref<f64>
+  %3 = fir.load %0 : !fir.ref<f64>
+  return %3 : f64
+}
+
+//--- tan_relaxed.fir
+// RUN: fir-opt %t/tan_relaxed.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/tan_relaxed.fir
+// CHECK: @_QPtest_real4
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @tanf({{%[A-Za-z0-9._]+}}) : (f32) -> f32
+
+// CHECK: @_QPtest_real8
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @tan({{%[A-Za-z0-9._]+}}) : (f64) -> f64
+
+func.func @_QPtest_real4(%arg0: !fir.ref<f32> {fir.bindc_name = "x"}) -> f32 {
+  %0 = fir.alloca f32 {bindc_name = "test_real4", uniq_name = "_QFtest_real4Etest_real4"}
+  %1 = fir.load %arg0 : !fir.ref<f32>
+  %2 = math.tan %1 : f32
+  fir.store %2 to %0 : !fir.ref<f32>
+  %3 = fir.load %0 : !fir.ref<f32>
+  return %3 : f32
+}
+func.func @_QPtest_real8(%arg0: !fir.ref<f64> {fir.bindc_name = "x"}) -> f64 {
+  %0 = fir.alloca f64 {bindc_name = "test_real8", uniq_name = "_QFtest_real8Etest_real8"}
+  %1 = fir.load %arg0 : !fir.ref<f64>
+  %2 = math.tan %1 : f64
+  fir.store %2 to %0 : !fir.ref<f64>
+  %3 = fir.load %0 : !fir.ref<f64>
+  return %3 : f64
+}
+
+//--- tan_precise.fir
+// RUN: fir-opt %t/tan_precise.fir --fir-to-llvm-ir="target=x86_64-unknown-linux-gnu" | FileCheck %t/tan_precise.fir
+// CHECK: @_QPtest_real4
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @tanf({{%[A-Za-z0-9._]+}}) : (f32) -> f32
+
+// CHECK: @_QPtest_real8
+// CHECK: {{%[A-Za-z0-9._]+}} = llvm.call @tan({{%[A-Za-z0-9._]+}}) : (f64) -> f64
+
+func.func @_QPtest_real4(%arg0: !fir.ref<f32> {fir.bindc_name = "x"}) -> f32 {
+  %0 = fir.alloca f32 {bindc_name = "test_real4", uniq_name = "_QFtest_real4Etest_real4"}
+  %1 = fir.load %arg0 : !fir.ref<f32>
+  %2 = fir.call @tanf(%1) : (f32) -> f32
+  fir.store %2 to %0 : !fir.ref<f32>
+  %3 = fir.load %0 : !fir.ref<f32>
+  return %3 : f32
+}
+func.func @_QPtest_real8(%arg0: !fir.ref<f64> {fir.bindc_name = "x"}) -> f64 {
+  %0 = fir.alloca f64 {bindc_name = "test_real8", uniq_name = "_QFtest_real8Etest_real8"}
+  %1 = fir.load %arg0 : !fir.ref<f64>
+  %2 = fir.call @tan(%1) : (f64) -> f64
+  fir.store %2 to %0 : !fir.ref<f64>
+  %3 = fir.load %0 : !fir.ref<f64>
+  return %3 : f64
+}
+func.func private @tanf(f32) -> f32
+func.func private @tan(f64) -> f64
+
diff --git a/flang/test/Lower/Intrinsics/abs.f90 b/flang/test/Lower/Intrinsics/abs.f90
--- a/flang/test/Lower/Intrinsics/abs.f90
+++ b/flang/test/Lower/Intrinsics/abs.f90
@@ -79,6 +79,17 @@
   b = abs(a)
 end subroutine
 
+! CHECK-LABEL: func @_QPabs_testr16(
+! CHECK-SAME:  %[[VAL_0:.*]]: !fir.ref<f128>{{.*}}, %[[VAL_1:.*]]: !fir.ref<f128>{{.*}}) {
+subroutine abs_testr16(a, b)
+! CHECK: %[[VAL_2:.*]] = fir.load %[[VAL_0]] : !fir.ref<f128>
+! CHECK: %[[VAL_3:.*]] = fir.call @llvm.fabs.f128(%[[VAL_2]]) : (f128) -> f128
+! CHECK: fir.store %[[VAL_3]] to %[[VAL_1]] : !fir.ref<f128>
+! CHECK: return
+  real(kind=16) :: a, b
+  b = abs(a)
+end subroutine
+
 ! CHECK-LABEL: func @_QPabs_testzr(
 ! CHECK-SAME:  %[[VAL_0:.*]]: !fir.ref<!fir.complex<4>>{{.*}}, %[[VAL_1:.*]]: !fir.ref<f32>{{.*}}) {
 subroutine abs_testzr(a, b)
diff --git a/flang/test/Lower/late-math-lowering.f90 b/flang/test/Lower/late-math-lowering.f90
--- a/flang/test/Lower/late-math-lowering.f90
+++ b/flang/test/Lower/late-math-lowering.f90
@@ -28,6 +28,15 @@
 ! RELAXED: {{%[A-Za-z0-9._]+}} = math.abs {{%[A-Za-z0-9._]+}} : f64
 ! PRECISE: {{%[A-Za-z0-9._]+}} = fir.call @fabs({{%[A-Za-z0-9._]+}}) : (f64) -> f64
 
+function test_real16(x)
+  real(16) :: x, test_real16
+  test_real16 = abs(x)
+end function
+! ALL-LABEL: @_QPtest_real16
+! FAST: {{%[A-Za-z0-9._]+}} = math.abs {{%[A-Za-z0-9._]+}} : f128
+! RELAXED: {{%[A-Za-z0-9._]+}} = math.abs {{%[A-Za-z0-9._]+}} : f128
+! PRECISE: {{%[A-Za-z0-9._]+}} = fir.call @llvm.fabs.f128({{%[A-Za-z0-9._]+}}) : (f128) -> f128
+
 function test_complex4(c)
   complex(4) :: c, test_complex4
   test_complex4 = abs(c)
@@ -208,6 +217,30 @@
 ! RELAXED: {{%[A-Za-z0-9._]+}} = math.cos {{%[A-Za-z0-9._]+}} : f64
 ! PRECISE: {{%[A-Za-z0-9._]+}} = fir.call @cos({{%[A-Za-z0-9._]+}}) : (f64) -> f64
 
+//--- cosh.f90
+! RUN: bbc -emit-fir %t/cosh.f90 -o - --lower-math-early=false --math-runtime=fast | FileCheck --check-prefixes=ALL %t/cosh.f90
+! RUN: %flang_fc1 -emit-fir -mllvm -lower-math-early=false -mllvm -math-runtime=fast %t/cosh.f90 -o - | FileCheck --check-prefixes=ALL %t/cosh.f90
+! RUN: bbc -emit-fir %t/cosh.f90 -o - --lower-math-early=false --math-runtime=relaxed | FileCheck --check-prefixes=ALL %t/cosh.f90
+! RUN: %flang_fc1 -emit-fir -mllvm -lower-math-early=false -mllvm -math-runtime=relaxed %t/cosh.f90 -o - | FileCheck --check-prefixes=ALL %t/cosh.f90
+! RUN: bbc -emit-fir %t/cosh.f90 -o - --lower-math-early=false --math-runtime=precise | FileCheck --check-prefixes=ALL %t/cosh.f90
+! RUN: %flang_fc1 -emit-fir -mllvm -lower-math-early=false -mllvm -math-runtime=precise %t/cosh.f90 -o - | FileCheck --check-prefixes=ALL %t/cosh.f90
+
+function test_real4(x)
+  real :: x, test_real4
+  test_real4 = cosh(x)
+end function
+
+! ALL-LABEL: @_QPtest_real4
+! ALL: {{%[A-Za-z0-9._]+}} = fir.call @coshf({{%[A-Za-z0-9._]+}}) : (f32) -> f32
+
+function test_real8(x)
+  real(8) :: x, test_real8
+  test_real8 = cosh(x)
+end function
+
+! ALL-LABEL: @_QPtest_real8
+! ALL: {{%[A-Za-z0-9._]+}} = fir.call @cosh({{%[A-Za-z0-9._]+}}) : (f64) -> f64
+
 //--- erf.f90
 ! RUN: bbc -emit-fir %t/erf.f90 -o - --lower-math-early=false --math-runtime=fast | FileCheck --check-prefixes=ALL,FAST %t/erf.f90
 ! RUN: %flang_fc1 -emit-fir -mllvm -lower-math-early=false -mllvm -math-runtime=fast %t/erf.f90 -o - | FileCheck --check-prefixes=ALL,FAST %t/erf.f90
@@ -440,6 +473,26 @@
 ! RELAXED: {{%[A-Za-z0-9._]+}} = math.copysign {{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}} : f64
 ! PRECISE: {{%[A-Za-z0-9._]+}} = fir.call @copysign({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f64, f64) -> f64
 
+function test_real10(x, y)
+  real(10) :: x, y, test_real10
+  test_real10 = sign(x, y)
+end function
+
+! ALL-LABEL: @_QPtest_real10
+! FAST: {{%[A-Za-z0-9._]+}} = math.copysign {{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}} : f80
+! RELAXED: {{%[A-Za-z0-9._]+}} = math.copysign {{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}} : f80
+! PRECISE: {{%[A-Za-z0-9._]+}} = fir.call @copysignl({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f80, f80) -> f80
+
+function test_real16(x, y)
+  real(16) :: x, y, test_real16
+  test_real16 = sign(x, y)
+end function
+
+! ALL-LABEL: @_QPtest_real16
+! FAST: {{%[A-Za-z0-9._]+}} = math.copysign {{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}} : f128
+! RELAXED: {{%[A-Za-z0-9._]+}} = math.copysign {{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}} : f128
+! PRECISE: {{%[A-Za-z0-9._]+}} = fir.call @llvm.copysign.f128({{%[A-Za-z0-9._]+}}, {{%[A-Za-z0-9._]+}}) : (f128, f128) -> f128
+
 //--- sin.f90
 ! RUN: bbc -emit-fir %t/sin.f90 -o - --lower-math-early=false --math-runtime=fast | FileCheck --check-prefixes=ALL,FAST %t/sin.f90
 ! RUN: %flang_fc1 -emit-fir -mllvm -lower-math-early=false -mllvm -math-runtime=fast %t/sin.f90 -o - | FileCheck --check-prefixes=ALL,FAST %t/sin.f90
@@ -468,6 +521,30 @@
 ! RELAXED: {{%[A-Za-z0-9._]+}} = math.sin {{%[A-Za-z0-9._]+}} : f64
 ! PRECISE: {{%[A-Za-z0-9._]+}} = fir.call @sin({{%[A-Za-z0-9._]+}}) : (f64) -> f64
 
+//--- sinh.f90
+! RUN: bbc -emit-fir %t/sinh.f90 -o - --lower-math-early=false --math-runtime=fast | FileCheck --check-prefixes=ALL %t/sinh.f90
+! RUN: %flang_fc1 -emit-fir -mllvm -lower-math-early=false -mllvm -math-runtime=fast %t/sinh.f90 -o - | FileCheck --check-prefixes=ALL %t/sinh.f90
+! RUN: bbc -emit-fir %t/sinh.f90 -o - --lower-math-early=false --math-runtime=relaxed | FileCheck --check-prefixes=ALL %t/sinh.f90
+! RUN: %flang_fc1 -emit-fir -mllvm -lower-math-early=false -mllvm -math-runtime=relaxed %t/sinh.f90 -o - | FileCheck --check-prefixes=ALL %t/sinh.f90
+! RUN: bbc -emit-fir %t/sinh.f90 -o - --lower-math-early=false --math-runtime=precise | FileCheck --check-prefixes=ALL %t/sinh.f90
+! RUN: %flang_fc1 -emit-fir -mllvm -lower-math-early=false -mllvm -math-runtime=precise %t/sinh.f90 -o - | FileCheck --check-prefixes=ALL %t/sinh.f90
+
+function test_real4(x)
+  real :: x, test_real4
+  test_real4 = sinh(x)
+end function
+
+! ALL-LABEL: @_QPtest_real4
+! ALL: {{%[A-Za-z0-9._]+}} = fir.call @sinhf({{%[A-Za-z0-9._]+}}) : (f32) -> f32
+
+function test_real8(x)
+  real(8) :: x, test_real8
+  test_real8 = sinh(x)
+end function
+
+! ALL-LABEL: @_QPtest_real8
+! ALL: {{%[A-Za-z0-9._]+}} = fir.call @sinh({{%[A-Za-z0-9._]+}}) : (f64) -> f64
+
 //--- tanh.f90
 ! RUN: bbc -emit-fir %t/tanh.f90 -o - --lower-math-early=false --math-runtime=fast | FileCheck --check-prefixes=ALL,FAST %t/tanh.f90
 ! RUN: %flang_fc1 -emit-fir -mllvm -lower-math-early=false -mllvm -math-runtime=fast %t/tanh.f90 -o - | FileCheck --check-prefixes=ALL,FAST %t/tanh.f90
@@ -495,3 +572,31 @@
 ! FAST: {{%[A-Za-z0-9._]+}} = math.tanh {{%[A-Za-z0-9._]+}} : f64
 ! RELAXED: {{%[A-Za-z0-9._]+}} = math.tanh {{%[A-Za-z0-9._]+}} : f64
 ! PRECISE: {{%[A-Za-z0-9._]+}} = fir.call @tanh({{%[A-Za-z0-9._]+}}) : (f64) -> f64
+
+//--- tan.f90
+! RUN: bbc -emit-fir %t/tan.f90 -o - --lower-math-early=false --math-runtime=fast | FileCheck --check-prefixes=ALL,FAST %t/tan.f90
+! RUN: %flang_fc1 -emit-fir -mllvm -lower-math-early=false -mllvm -math-runtime=fast %t/tan.f90 -o - | FileCheck --check-prefixes=ALL,FAST %t/tan.f90
+! RUN: bbc -emit-fir %t/tan.f90 -o - --lower-math-early=false --math-runtime=relaxed | FileCheck --check-prefixes=ALL,RELAXED %t/tan.f90
+! RUN: %flang_fc1 -emit-fir -mllvm -lower-math-early=false -mllvm -math-runtime=relaxed %t/tan.f90 -o - | FileCheck --check-prefixes=ALL,RELAXED %t/tan.f90
+! RUN: bbc -emit-fir %t/tan.f90 -o - --lower-math-early=false --math-runtime=precise | FileCheck --check-prefixes=ALL,PRECISE %t/tan.f90
+! RUN: %flang_fc1 -emit-fir -mllvm -lower-math-early=false -mllvm -math-runtime=precise %t/tan.f90 -o - | FileCheck --check-prefixes=ALL,PRECISE %t/tan.f90
+
+function test_real4(x)
+  real :: x, test_real4
+  test_real4 = tan(x)
+end function
+
+! ALL-LABEL: @_QPtest_real4
+! FAST: {{%[A-Za-z0-9._]+}} = math.tan {{%[A-Za-z0-9._]+}} : f32
+! RELAXED: {{%[A-Za-z0-9._]+}} = math.tan {{%[A-Za-z0-9._]+}} : f32
+! PRECISE: {{%[A-Za-z0-9._]+}} = fir.call @tanf({{%[A-Za-z0-9._]+}}) : (f32) -> f32
+
+function test_real8(x)
+  real(8) :: x, test_real8
+  test_real8 = tan(x)
+end function
+
+! ALL-LABEL: @_QPtest_real8
+! FAST: {{%[A-Za-z0-9._]+}} = math.tan {{%[A-Za-z0-9._]+}} : f64
+! RELAXED: {{%[A-Za-z0-9._]+}} = math.tan {{%[A-Za-z0-9._]+}} : f64
+! PRECISE: {{%[A-Za-z0-9._]+}} = fir.call @tan({{%[A-Za-z0-9._]+}}) : (f64) -> f64