Fix NuttX build under Cygwin

after NuttX 9.1.0+ upgrade #15139

platforms/nuttx/NuttX/Make.defs.in

@@ -33,19 +33,45 @@
 #
 ############################################################################
 
+# Set flags for the NuttX build system for Cygwin
+# They are already used by Config.mk
+ifneq (, $(findstring CYGWIN, $(shell uname)))
+  CONFIG_HOST_CYGWIN := y
+  CONFIG_WINDOWS_CYGWIN := y
+  CONFIG_CYGWIN_WINTOOL := y
+endif
+
 include $(TOPDIR)/.config
 include $(TOPDIR)/tools/Config.mk
 
+# Replace each space separated word in the string that contains "cygdrive"
+# with the windows path and escaped backslashes
+# e.g. [hello -I /cygdrive/c -I/cygdrive/c] -> [hello -I C:\\ ]
+define cygwin_to_windows_paths
+$(subst \,\\,$(foreach word,$(1),$(shell \
+if [[ "$(word)" == *"cygdrive"* ]]; then \
+  cygpath -w "$(word)"; \
+else \
+  echo $(word); \
+fi \
+)))
+endef
+
 CINCPATH := $(shell $(INCDIR) -s "$(CC)" $(TOPDIR)$(DELIM)include)
 CXXINCPATH := $(shell $(INCDIR) -s "$(CC)" $(TOPDIR)$(DELIM)include$(DELIM)cxx)
 
 ARCHINCLUDES += $(CINCPATH)
 ARCHXXINCLUDES += $(CINCPATH) $(CXXINCPATH)
+ARCHSCRIPT = -T$(BOARD_DIR)$(DELIM)scripts$(DELIM)flash.ld
 
-ifeq ($(CONFIG_CYGWIN_WINTOOL),y)
-  ARCHSCRIPT = -T "$(shell cygpath -w $(BOARD_DIR)$(DELIM)scripts$(DELIM)flash.ld)"
-else
-  ARCHSCRIPT = -T$(BOARD_DIR)$(DELIM)scripts$(DELIM)flash.ld
+ifeq ($(CONFIG_BOARD_USE_PROBES),y)
+   ARCHINCLUDES += -I $(TOPDIR)/arch/$(CONFIG_ARCH)/src/$(CONFIG_ARCH_CHIP) -I $(TOPDIR)/arch/$(CONFIG_ARCH)/src/common
+   ARCHXXINCLUDES += -I $(TOPDIR)/arch/$(CONFIG_ARCH)/src/$(CONFIG_ARCH_CHIP) -I $(TOPDIR)/arch/$(CONFIG_ARCH)/src/common
+endif
+
+ifneq (, $(findstring CYGWIN, $(shell uname)))
+  ARCHINCLUDES := $(call cygwin_to_windows_paths,$(ARCHINCLUDES))
+  ARCHXXINCLUDES := $(call cygwin_to_windows_paths,$(ARCHXXINCLUDES))
 endif
 
 CC = ${CMAKE_C_COMPILER}
@@ -61,11 +87,6 @@ OBJDUMP = ${CMAKE_OBJDUMP}
 ARCHCCVERSION = $(shell $(CC) -v 2>&1 | sed -n '/^gcc version/p' | sed -e 's/^gcc version \([0-9\.]\)/\1/g' -e 's/[-\ ].*//g' -e '1q')
 ARCHCCMAJOR = $(shell echo $(ARCHCCVERSION) | cut -d'.' -f1)
 
-ifeq ($(CONFIG_BOARD_USE_PROBES),y)
-   ARCHINCLUDES += -I$(TOPDIR)/arch/$(CONFIG_ARCH)/src/$(CONFIG_ARCH_CHIP) -I$(TOPDIR)/arch/$(CONFIG_ARCH)/src/common
-   ARCHXXINCLUDES += -I$(TOPDIR)/arch/$(CONFIG_ARCH)/src/$(CONFIG_ARCH_CHIP)  -I$(TOPDIR)/arch/$(CONFIG_ARCH)/src/common
-endif
-
 ifeq ($(CONFIG_DEBUG_CUSTOMOPT),y)
    MAXOPTIMIZATION = $(CONFIG_DEBUG_OPTLEVEL)
 else