diff --git a/src/gpu/GrShaderCaps.cpp b/src/gpu/GrShaderCaps.cpp
index 20bc708990..365476e768 100644
--- a/src/gpu/GrShaderCaps.cpp
+++ b/src/gpu/GrShaderCaps.cpp
@@ -22,6 +22,7 @@ GrShaderCaps::GrShaderCaps(const GrContextOptions& options) {
     fDualSourceBlendingSupport = false;
     fIntegerSupport = false;
     fNonsquareMatrixSupport = false;
+    fInverseHyperbolicSupport = false;
     fFBFetchSupport = false;
     fFBFetchNeedsCustomOutput = false;
     fUsesPrecisionModifiers = false;
@@ -95,6 +96,7 @@ void GrShaderCaps::dumpJSON(SkJSONWriter* writer) const {
     writer->appendBool("Dual Source Blending Support", fDualSourceBlendingSupport);
     writer->appendBool("Integer Support", fIntegerSupport);
     writer->appendBool("Nonsquare Matrix Support", fNonsquareMatrixSupport);
+    writer->appendBool("Inverse Hyperbolic Support", fInverseHyperbolicSupport);
 
     static const char* kAdvBlendEqInteractionStr[] = {
         "Not Supported",
diff --git a/src/gpu/GrShaderCaps.h b/src/gpu/GrShaderCaps.h
index ab4fd3a6cd..a199d8a6ad 100644
--- a/src/gpu/GrShaderCaps.h
+++ b/src/gpu/GrShaderCaps.h
@@ -49,6 +49,9 @@ public:
     bool integerSupport() const { return fIntegerSupport; }
     bool nonsquareMatrixSupport() const { return fNonsquareMatrixSupport; }
 
+    // asinh(), acosh(), atanh()
+    bool inverseHyperbolicSupport() const { return fInverseHyperbolicSupport; }
+
     /**
      * Some helper functions for encapsulating various extensions to read FB Buffer on openglES
      *
@@ -283,6 +286,7 @@ private:
     bool fDualSourceBlendingSupport         : 1;
     bool fIntegerSupport                    : 1;
     bool fNonsquareMatrixSupport            : 1;
+    bool fInverseHyperbolicSupport          : 1;
     bool fFBFetchSupport                    : 1;
     bool fFBFetchNeedsCustomOutput          : 1;
     bool fUsesPrecisionModifiers            : 1;
diff --git a/src/gpu/d3d/GrD3DCaps.cpp b/src/gpu/d3d/GrD3DCaps.cpp
index 06e620b373..3a014f3edf 100644
--- a/src/gpu/d3d/GrD3DCaps.cpp
+++ b/src/gpu/d3d/GrD3DCaps.cpp
@@ -246,6 +246,8 @@ void GrD3DCaps::initShaderCaps(int vendorID, const D3D12_FEATURE_DATA_D3D12_OPTI
 
     shaderCaps->fIntegerSupport = true;
     shaderCaps->fNonsquareMatrixSupport = true;
+    // TODO(skia:12352) HLSL does not expose asinh/acosh/atanh
+    shaderCaps->fInverseHyperbolicSupport = false;
     shaderCaps->fVertexIDSupport = true;
     shaderCaps->fInfinitySupport = true;
     shaderCaps->fBitManipulationSupport = true;
diff --git a/src/gpu/gl/GrGLCaps.cpp b/src/gpu/gl/GrGLCaps.cpp
index 5c7fb18ead..51aba867e0 100644
--- a/src/gpu/gl/GrGLCaps.cpp
+++ b/src/gpu/gl/GrGLCaps.cpp
@@ -388,6 +388,7 @@ void GrGLCaps::init(const GrContextOptions& contextOptions,
             ctxInfo.glslGeneration() >= k130_GrGLSLGeneration;
 
         shaderCaps->fNonsquareMatrixSupport = ctxInfo.glslGeneration() >= k130_GrGLSLGeneration;
+        shaderCaps->fInverseHyperbolicSupport = ctxInfo.glslGeneration() >= k130_GrGLSLGeneration;
     } else if (GR_IS_GR_GL_ES(standard)) {
         shaderCaps->fDualSourceBlendingSupport = ctxInfo.hasExtension("GL_EXT_blend_func_extended");
 
@@ -413,12 +414,14 @@ void GrGLCaps::init(const GrContextOptions& contextOptions,
         shaderCaps->fIntegerSupport = version >= GR_GL_VER(3, 0) &&
             ctxInfo.glslGeneration() >= k330_GrGLSLGeneration; // We use this value for GLSL ES 3.0.
         shaderCaps->fNonsquareMatrixSupport = ctxInfo.glslGeneration() >= k330_GrGLSLGeneration;
+        shaderCaps->fInverseHyperbolicSupport = ctxInfo.glslGeneration() >= k330_GrGLSLGeneration;
     } else if (GR_IS_GR_WEBGL(standard)) {
         shaderCaps->fShaderDerivativeSupport = version >= GR_GL_VER(2, 0) ||
                                                ctxInfo.hasExtension("GL_OES_standard_derivatives") ||
                                                ctxInfo.hasExtension("OES_standard_derivatives");
         shaderCaps->fIntegerSupport = (version >= GR_GL_VER(2, 0));
         shaderCaps->fNonsquareMatrixSupport = ctxInfo.glslGeneration() >= k330_GrGLSLGeneration;
+        shaderCaps->fInverseHyperbolicSupport = ctxInfo.glslGeneration() >= k330_GrGLSLGeneration;
     }
 
     if (ctxInfo.hasExtension("GL_NV_conservative_raster")) {
diff --git a/src/gpu/mtl/GrMtlCaps.mm b/src/gpu/mtl/GrMtlCaps.mm
index fc18bfe520..37363b5da2 100644
--- a/src/gpu/mtl/GrMtlCaps.mm
+++ b/src/gpu/mtl/GrMtlCaps.mm
@@ -475,6 +475,7 @@ void GrMtlCaps::initShaderCaps() {
 
     shaderCaps->fIntegerSupport = true;
     shaderCaps->fNonsquareMatrixSupport = true;
+    shaderCaps->fInverseHyperbolicSupport = true;
     shaderCaps->fVertexIDSupport = true;
     shaderCaps->fInfinitySupport = true;
 
diff --git a/src/gpu/vk/GrVkCaps.cpp b/src/gpu/vk/GrVkCaps.cpp
index e94999073d..3dc09f6aa9 100644
--- a/src/gpu/vk/GrVkCaps.cpp
+++ b/src/gpu/vk/GrVkCaps.cpp
@@ -715,6 +715,7 @@ void GrVkCaps::initShaderCaps(const VkPhysicalDeviceProperties& properties,
 
     shaderCaps->fIntegerSupport = true;
     shaderCaps->fNonsquareMatrixSupport = true;
+    shaderCaps->fInverseHyperbolicSupport = true;
     shaderCaps->fVertexIDSupport = true;
     shaderCaps->fInfinitySupport = true;
     shaderCaps->fBitManipulationSupport = true;
diff --git a/src/sksl/SkSLUtil.h b/src/sksl/SkSLUtil.h
index f53061ff29..16f8825af1 100644
--- a/src/sksl/SkSLUtil.h
+++ b/src/sksl/SkSLUtil.h
@@ -174,6 +174,11 @@ public:
         return fNonsquareMatrixSupport;
     }
 
+    bool fInverseHyperbolicSupport = false;
+    bool inverseHyperbolicSupport() const {
+        return fInverseHyperbolicSupport;
+    }
+
     bool fBuiltinFMASupport = false;
     bool builtinFMASupport() const {
         return fBuiltinFMASupport;