diff --git a/math/py-heyoka/Makefile b/math/py-heyoka/Makefile
index c8a0c52b1e12..8218a6cb2809 100644
--- a/math/py-heyoka/Makefile
+++ b/math/py-heyoka/Makefile
@@ -1,47 +1,48 @@
 PORTNAME=	heyoka
 DISTVERSIONPREFIX=	v
-DISTVERSION=	0.19.0
-PORTREVISION=	4
+DISTVERSION=	0.20.0
 CATEGORIES=	math
 PKGNAMEPREFIX=	${PYTHON_PKGNAMEPREFIX}
 
 MAINTAINER=	yuri@FreeBSD.org
 COMMENT=	Python library for ODE integration via Taylor's method and LLVM
 WWW=		https://bluescarni.github.io/heyoka.py/
 
 LICENSE=	MPL20
 LICENSE_FILE=	${WRKSRC}/LICENSE
 
 BUILD_DEPENDS=	pybind11>0:devel/pybind11 \
 		${PYNUMPY}
 LIB_DEPENDS=	libboost_serialization.so:devel/boost-libs \
 		libfmt.so:devel/libfmt \
+		libgmp.so:math/gmp \
 		libheyoka.so:math/heyoka \
 		libmp++.so:math/mppp \
+		libmpfr.so:math/mpfr \
 		libtbb.so:devel/onetbb \
 		libspdlog.so:devel/spdlog
 RUN_DEPENDS=	${PYNUMPY} \
 		${PYTHON_PKGNAMEPREFIX}cloudpickle>0:devel/py-cloudpickle@${PY_FLAVOR} \
 		${PYTHON_PKGNAMEPREFIX}mpmath>0:math/py-mpmath@${PY_FLAVOR} \
 		${PYTHON_PKGNAMEPREFIX}sympy>0:math/py-sympy@${PY_FLAVOR}
 TEST_DEPENDS=	${PYTHON_PKGNAMEPREFIX}matplotlib>0:math/py-matplotlib@${PY_FLAVOR}
 
 USES=		cmake compiler:c++17-lang python:3.7+
 USE_PYTHON=	flavors
 
 USE_GITHUB=	yes
 GH_ACCOUNT=	bluescarni
 GH_PROJECT=	${PORTNAME}.py
 
 CMAKE_ON=	HEYOKA_PY_ENABLE_IPO
 CMAKE_ARGS=	-DFREEBSD_PYTHON_DISTVERSION=${PYTHON_DISTVERSION:R}
 
 TEST_ENV=	${MAKE_ENV} PYTHONPATH=${STAGEDIR}${PYTHONPREFIX_SITELIBDIR}
 
 do-test:
 	# testsuite based on instructions in https://bluescarni.github.io/heyoka.py/install.html#verifying-the-installation
 	@cd ${TEST_WRKSRC} && ${SETENV} ${TEST_ENV} ${PYTHON_CMD} -c "import heyoka; heyoka.test.run_test_suite();"
 	# integrate and plot an example
 	@cd ${TEST_WRKSRC} && ${SETENV} ${TEST_ENV} ${PYTHON_CMD} ${FILESDIR}/example-restricted-three-body-problem.py
 
 .include <bsd.port.mk>
diff --git a/math/py-heyoka/distinfo b/math/py-heyoka/distinfo
index 2fc1dd2f9d27..72aeb542d8ff 100644
--- a/math/py-heyoka/distinfo
+++ b/math/py-heyoka/distinfo
@@ -1,3 +1,3 @@
-TIMESTAMP = 1663734102
-SHA256 (bluescarni-heyoka.py-v0.19.0_GH0.tar.gz) = 5191a6976fe89f14c6cde0d69607397db059009fecb0a3390c4b33c29e5d31ea
-SIZE (bluescarni-heyoka.py-v0.19.0_GH0.tar.gz) = 101947693
+TIMESTAMP = 1671607325
+SHA256 (bluescarni-heyoka.py-v0.20.0_GH0.tar.gz) = 65c90a5ffb870b4d2d19eef066b56964777f03eb7d081e331ae5bf903bbf94af
+SIZE (bluescarni-heyoka.py-v0.20.0_GH0.tar.gz) = 102109366
diff --git a/math/py-heyoka/files/patch-CMakeLists.txt b/math/py-heyoka/files/patch-CMakeLists.txt
index 09dff89eed8a..06441196fc2e 100644
--- a/math/py-heyoka/files/patch-CMakeLists.txt
+++ b/math/py-heyoka/files/patch-CMakeLists.txt
@@ -1,20 +1,19 @@
---- CMakeLists.txt.orig	2022-09-19 07:53:52 UTC
+--- CMakeLists.txt.orig	2022-12-18 12:54:30 UTC
 +++ CMakeLists.txt
-@@ -144,7 +144,7 @@ else()
-     # and Python3 is *not* found, we try again, this time with the full Development
-     # component (rather than only Development.Module). This seems to work around the
-     # issue, for now at least.
--    find_package(Python3 QUIET COMPONENTS ${_HEYOKA_PY_PYTHON3_COMPONENTS})
-+    find_package(Python3 ${FREEBSD_PYTHON_DISTVERSION} QUIET COMPONENTS ${_HEYOKA_PY_PYTHON3_COMPONENTS})
+@@ -140,14 +140,14 @@ set(_HEYOKA_PY_PYTHON3_COMPONENTS Interpreter NumPy De
+ # and Python3 is *not* found, we try again, this time with the full Development
+ # component (rather than only Development.Module). This seems to work around the
+ # issue, for now at least.
+-find_package(Python3 QUIET COMPONENTS ${_HEYOKA_PY_PYTHON3_COMPONENTS})
++find_package(Python3 ${FREEBSD_PYTHON_DISTVERSION} QUIET COMPONENTS ${_HEYOKA_PY_PYTHON3_COMPONENTS})
  
-     if(NOT Python3_FOUND)
-         list(POP_BACK _HEYOKA_PY_PYTHON3_COMPONENTS)
-@@ -152,7 +152,7 @@ else()
-     endif()
+ if(NOT Python3_FOUND)
+     list(POP_BACK _HEYOKA_PY_PYTHON3_COMPONENTS)
+     list(APPEND _HEYOKA_PY_PYTHON3_COMPONENTS Development)
  endif()
  
 -find_package(Python3 QUIET REQUIRED COMPONENTS ${_HEYOKA_PY_PYTHON3_COMPONENTS})
 +find_package(Python3 ${FREEBSD_PYTHON_DISTVERSION} QUIET REQUIRED COMPONENTS ${_HEYOKA_PY_PYTHON3_COMPONENTS})
  
  message(STATUS "Python3 interpreter: ${Python3_EXECUTABLE}")
  message(STATUS "Python3 installation directory: ${Python3_SITEARCH}")
diff --git a/math/py-heyoka/pkg-plist b/math/py-heyoka/pkg-plist
index 092e2fff0539..22ca7351b0c3 100644
--- a/math/py-heyoka/pkg-plist
+++ b/math/py-heyoka/pkg-plist
@@ -1,6 +1,9 @@
 %%PYTHON_SITELIBDIR%%/heyoka/__init__.py
 %%PYTHON_SITELIBDIR%%/heyoka/_ensemble_impl.py
 %%PYTHON_SITELIBDIR%%/heyoka/_sympy_utils.py
+%%PYTHON_SITELIBDIR%%/heyoka/_test_mp.py
+%%PYTHON_SITELIBDIR%%/heyoka/_test_real.py
+%%PYTHON_SITELIBDIR%%/heyoka/_test_real128.py
 %%PYTHON_SITELIBDIR%%/heyoka/_version.py
 %%PYTHON_SITELIBDIR%%/heyoka/core%%PYTHON_EXT_SUFFIX%%.so
 %%PYTHON_SITELIBDIR%%/heyoka/test.py