Deps: Add freesurround

data/resources/thirdparty.html

@@ -858,6 +858,352 @@ AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
 SOFTWARE.
+</pre>
+
+<h3>FreeSurround - <a href="https://hydrogenaud.io/index.php/topic,52235.0.html">https://hydrogenaud.io/index.php/topic,52235.0.html</a></h3>
+<pre>
+Copyright (C) 2007-2010 Christian Kothe
+
+		    GNU GENERAL PUBLIC LICENSE
+		       Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.,
+ 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+			    Preamble
+
+  The licenses for most software are designed to take away your
+freedom to share and change it.  By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users.  This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it.  (Some other Free Software Foundation software is covered by
+the GNU Lesser General Public License instead.)  You can apply it to
+your programs, too.
+
+  When we speak of free software, we are referring to freedom, not
+price.  Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+  To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+  For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must give the recipients all the rights that
+you have.  You must make sure that they, too, receive or can get the
+source code.  And you must show them these terms so they know their
+rights.
+
+  We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+  Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software.  If the software is modified by someone else and passed on, we
+want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+  Finally, any free program is threatened constantly by software
+patents.  We wish to avoid the danger that redistributors of a free
+program will individually obtain patent licenses, in effect making the
+program proprietary.  To prevent this, we have made it clear that any
+patent must be licensed for everyone's free use or not licensed at all.
+
+  The precise terms and conditions for copying, distribution and
+modification follow.
+
+		    GNU GENERAL PUBLIC LICENSE
+   TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+  0. This License applies to any program or other work which contains
+a notice placed by the copyright holder saying it may be distributed
+under the terms of this General Public License.  The "Program", below,
+refers to any such program or work, and a "work based on the Program"
+means either the Program or any derivative work under copyright law:
+that is to say, a work containing the Program or a portion of it,
+either verbatim or with modifications and/or translated into another
+language.  (Hereinafter, translation is included without limitation in
+the term "modification".)  Each licensee is addressed as "you".
+
+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope.  The act of
+running the Program is not restricted, and the output from the Program
+is covered only if its contents constitute a work based on the
+Program (independent of having been made by running the Program).
+Whether that is true depends on what the Program does.
+
+  1. You may copy and distribute verbatim copies of the Program's
+source code as you receive it, in any medium, provided that you
+conspicuously and appropriately publish on each copy an appropriate
+copyright notice and disclaimer of warranty; keep intact all the
+notices that refer to this License and to the absence of any warranty;
+and give any other recipients of the Program a copy of this License
+along with the Program.
+
+You may charge a fee for the physical act of transferring a copy, and
+you may at your option offer warranty protection in exchange for a fee.
+
+  2. You may modify your copy or copies of the Program or any portion
+of it, thus forming a work based on the Program, and copy and
+distribute such modifications or work under the terms of Section 1
+above, provided that you also meet all of these conditions:
+
+    a) You must cause the modified files to carry prominent notices
+    stating that you changed the files and the date of any change.
+
+    b) You must cause any work that you distribute or publish, that in
+    whole or in part contains or is derived from the Program or any
+    part thereof, to be licensed as a whole at no charge to all third
+    parties under the terms of this License.
+
+    c) If the modified program normally reads commands interactively
+    when run, you must cause it, when started running for such
+    interactive use in the most ordinary way, to print or display an
+    announcement including an appropriate copyright notice and a
+    notice that there is no warranty (or else, saying that you provide
+    a warranty) and that users may redistribute the program under
+    these conditions, and telling the user how to view a copy of this
+    License.  (Exception: if the Program itself is interactive but
+    does not normally print such an announcement, your work based on
+    the Program is not required to print an announcement.)
+
+These requirements apply to the modified work as a whole.  If
+identifiable sections of that work are not derived from the Program,
+and can be reasonably considered independent and separate works in
+themselves, then this License, and its terms, do not apply to those
+sections when you distribute them as separate works.  But when you
+distribute the same sections as part of a whole which is a work based
+on the Program, the distribution of the whole must be on the terms of
+this License, whose permissions for other licensees extend to the
+entire whole, and thus to each and every part regardless of who wrote it.
+
+Thus, it is not the intent of this section to claim rights or contest
+your rights to work written entirely by you; rather, the intent is to
+exercise the right to control the distribution of derivative or
+collective works based on the Program.
+
+In addition, mere aggregation of another work not based on the Program
+with the Program (or with a work based on the Program) on a volume of
+a storage or distribution medium does not bring the other work under
+the scope of this License.
+
+  3. You may copy and distribute the Program (or a work based on it,
+under Section 2) in object code or executable form under the terms of
+Sections 1 and 2 above provided that you also do one of the following:
+
+    a) Accompany it with the complete corresponding machine-readable
+    source code, which must be distributed under the terms of Sections
+    1 and 2 above on a medium customarily used for software interchange; or,
+
+    b) Accompany it with a written offer, valid for at least three
+    years, to give any third party, for a charge no more than your
+    cost of physically performing source distribution, a complete
+    machine-readable copy of the corresponding source code, to be
+    distributed under the terms of Sections 1 and 2 above on a medium
+    customarily used for software interchange; or,
+
+    c) Accompany it with the information you received as to the offer
+    to distribute corresponding source code.  (This alternative is
+    allowed only for noncommercial distribution and only if you
+    received the program in object code or executable form with such
+    an offer, in accord with Subsection b above.)
+
+The source code for a work means the preferred form of the work for
+making modifications to it.  For an executable work, complete source
+code means all the source code for all modules it contains, plus any
+associated interface definition files, plus the scripts used to
+control compilation and installation of the executable.  However, as a
+special exception, the source code distributed need not include
+anything that is normally distributed (in either source or binary
+form) with the major components (compiler, kernel, and so on) of the
+operating system on which the executable runs, unless that component
+itself accompanies the executable.
+
+If distribution of executable or object code is made by offering
+access to copy from a designated place, then offering equivalent
+access to copy the source code from the same place counts as
+distribution of the source code, even though third parties are not
+compelled to copy the source along with the object code.
+
+  4. You may not copy, modify, sublicense, or distribute the Program
+except as expressly provided under this License.  Any attempt
+otherwise to copy, modify, sublicense or distribute the Program is
+void, and will automatically terminate your rights under this License.
+However, parties who have received copies, or rights, from you under
+this License will not have their licenses terminated so long as such
+parties remain in full compliance.
+
+  5. You are not required to accept this License, since you have not
+signed it.  However, nothing else grants you permission to modify or
+distribute the Program or its derivative works.  These actions are
+prohibited by law if you do not accept this License.  Therefore, by
+modifying or distributing the Program (or any work based on the
+Program), you indicate your acceptance of this License to do so, and
+all its terms and conditions for copying, distributing or modifying
+the Program or works based on it.
+
+  6. Each time you redistribute the Program (or any work based on the
+Program), the recipient automatically receives a license from the
+original licensor to copy, distribute or modify the Program subject to
+these terms and conditions.  You may not impose any further
+restrictions on the recipients' exercise of the rights granted herein.
+You are not responsible for enforcing compliance by third parties to
+this License.
+
+  7. If, as a consequence of a court judgment or allegation of patent
+infringement or for any other reason (not limited to patent issues),
+conditions are imposed on you (whether by court order, agreement or
+otherwise) that contradict the conditions of this License, they do not
+excuse you from the conditions of this License.  If you cannot
+distribute so as to satisfy simultaneously your obligations under this
+License and any other pertinent obligations, then as a consequence you
+may not distribute the Program at all.  For example, if a patent
+license would not permit royalty-free redistribution of the Program by
+all those who receive copies directly or indirectly through you, then
+the only way you could satisfy both it and this License would be to
+refrain entirely from distribution of the Program.
+
+If any portion of this section is held invalid or unenforceable under
+any particular circumstance, the balance of the section is intended to
+apply and the section as a whole is intended to apply in other
+circumstances.
+
+It is not the purpose of this section to induce you to infringe any
+patents or other property right claims or to contest validity of any
+such claims; this section has the sole purpose of protecting the
+integrity of the free software distribution system, which is
+implemented by public license practices.  Many people have made
+generous contributions to the wide range of software distributed
+through that system in reliance on consistent application of that
+system; it is up to the author/donor to decide if he or she is willing
+to distribute software through any other system and a licensee cannot
+impose that choice.
+
+This section is intended to make thoroughly clear what is believed to
+be a consequence of the rest of this License.
+
+  8. If the distribution and/or use of the Program is restricted in
+certain countries either by patents or by copyrighted interfaces, the
+original copyright holder who places the Program under this License
+may add an explicit geographical distribution limitation excluding
+those countries, so that distribution is permitted only in or among
+countries not thus excluded.  In such case, this License incorporates
+the limitation as if written in the body of this License.
+
+  9. The Free Software Foundation may publish revised and/or new versions
+of the General Public License from time to time.  Such new versions will
+be similar in spirit to the present version, but may differ in detail to
+address new problems or concerns.
+
+Each version is given a distinguishing version number.  If the Program
+specifies a version number of this License which applies to it and "any
+later version", you have the option of following the terms and conditions
+either of that version or of any later version published by the Free
+Software Foundation.  If the Program does not specify a version number of
+this License, you may choose any version ever published by the Free Software
+Foundation.
+
+  10. If you wish to incorporate parts of the Program into other free
+programs whose distribution conditions are different, write to the author
+to ask for permission.  For software which is copyrighted by the Free
+Software Foundation, write to the Free Software Foundation; we sometimes
+make exceptions for this.  Our decision will be guided by the two goals
+of preserving the free status of all derivatives of our free software and
+of promoting the sharing and reuse of software generally.
+
+			    NO WARRANTY
+
+  11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW.  EXCEPT WHEN
+OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
+PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
+OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.  THE ENTIRE RISK AS
+TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU.  SHOULD THE
+PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
+REPAIR OR CORRECTION.
+
+  12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
+REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
+INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
+OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
+TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
+YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
+PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGES.
+
+		     END OF TERMS AND CONDITIONS
+
+	    How to Apply These Terms to Your New Programs
+
+  If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+  To do so, attach the following notices to the program.  It is safest
+to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+    <one line to give the program's name and a brief idea of what it does.>
+    Copyright (C) <year>  <name of author>
+
+    This program is free software; you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation; either version 2 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License along
+    with this program; if not, write to the Free Software Foundation, Inc.,
+    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
+
+    Gnomovision version 69, Copyright (C) year name of author
+    Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+    This is free software, and you are welcome to redistribute it
+    under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License.  Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary.  Here is a sample; alter the names:
+
+  Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+  `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+  <signature of Ty Coon>, 1 April 1989
+  Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs.  If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library.  If this is what you want to do, use the GNU Lesser General
+Public License instead of this License.
+</pre>
 
 <h3>libchdr - <a href="https://github.com/rtissera/libchdr">https://github.com/rtissera/libchdr</a></h3>
 <pre>

dep/CMakeLists.txt

@@ -34,6 +34,8 @@ add_subdirectory(discord-rpc EXCLUDE_FROM_ALL)
 disable_compiler_warnings_for_target(discord-rpc)
 add_subdirectory(kissfft EXCLUDE_FROM_ALL)
 disable_compiler_warnings_for_target(kissfft)
+add_subdirectory(freesurround EXCLUDE_FROM_ALL)
+disable_compiler_warnings_for_target(freesurround)
 
 if(ENABLE_OPENGL)
   add_subdirectory(glad EXCLUDE_FROM_ALL)

dep/freesurround/CMakeLists.txt

@@ -0,0 +1,10 @@
+set(SRCS
+  include/freesurround_decoder.h
+  src/channelmaps.cpp
+  src/freesurround_decoder.cpp
+)
+
+add_library(freesurround ${SRCS})
+target_include_directories(freesurround PRIVATE "${CMAKE_CURRENT_SOURCE_DIR}/include" "${CMAKE_CURRENT_SOURCE_DIR}/src")
+target_include_directories(freesurround INTERFACE "${CMAKE_CURRENT_SOURCE_DIR}/include")
+target_link_libraries(freesurround PUBLIC kissfft)

dep/freesurround/GPL.txt

@@ -0,0 +1,339 @@
+		    GNU GENERAL PUBLIC LICENSE
+		       Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.,
+ 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+			    Preamble
+
+  The licenses for most software are designed to take away your
+freedom to share and change it.  By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users.  This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it.  (Some other Free Software Foundation software is covered by
+the GNU Lesser General Public License instead.)  You can apply it to
+your programs, too.
+
+  When we speak of free software, we are referring to freedom, not
+price.  Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+  To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+  For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must give the recipients all the rights that
+you have.  You must make sure that they, too, receive or can get the
+source code.  And you must show them these terms so they know their
+rights.
+
+  We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+  Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software.  If the software is modified by someone else and passed on, we
+want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+  Finally, any free program is threatened constantly by software
+patents.  We wish to avoid the danger that redistributors of a free
+program will individually obtain patent licenses, in effect making the
+program proprietary.  To prevent this, we have made it clear that any
+patent must be licensed for everyone's free use or not licensed at all.
+
+  The precise terms and conditions for copying, distribution and
+modification follow.
+
+		    GNU GENERAL PUBLIC LICENSE
+   TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+  0. This License applies to any program or other work which contains
+a notice placed by the copyright holder saying it may be distributed
+under the terms of this General Public License.  The "Program", below,
+refers to any such program or work, and a "work based on the Program"
+means either the Program or any derivative work under copyright law:
+that is to say, a work containing the Program or a portion of it,
+either verbatim or with modifications and/or translated into another
+language.  (Hereinafter, translation is included without limitation in
+the term "modification".)  Each licensee is addressed as "you".
+
+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope.  The act of
+running the Program is not restricted, and the output from the Program
+is covered only if its contents constitute a work based on the
+Program (independent of having been made by running the Program).
+Whether that is true depends on what the Program does.
+
+  1. You may copy and distribute verbatim copies of the Program's
+source code as you receive it, in any medium, provided that you
+conspicuously and appropriately publish on each copy an appropriate
+copyright notice and disclaimer of warranty; keep intact all the
+notices that refer to this License and to the absence of any warranty;
+and give any other recipients of the Program a copy of this License
+along with the Program.
+
+You may charge a fee for the physical act of transferring a copy, and
+you may at your option offer warranty protection in exchange for a fee.
+
+  2. You may modify your copy or copies of the Program or any portion
+of it, thus forming a work based on the Program, and copy and
+distribute such modifications or work under the terms of Section 1
+above, provided that you also meet all of these conditions:
+
+    a) You must cause the modified files to carry prominent notices
+    stating that you changed the files and the date of any change.
+
+    b) You must cause any work that you distribute or publish, that in
+    whole or in part contains or is derived from the Program or any
+    part thereof, to be licensed as a whole at no charge to all third
+    parties under the terms of this License.
+
+    c) If the modified program normally reads commands interactively
+    when run, you must cause it, when started running for such
+    interactive use in the most ordinary way, to print or display an
+    announcement including an appropriate copyright notice and a
+    notice that there is no warranty (or else, saying that you provide
+    a warranty) and that users may redistribute the program under
+    these conditions, and telling the user how to view a copy of this
+    License.  (Exception: if the Program itself is interactive but
+    does not normally print such an announcement, your work based on
+    the Program is not required to print an announcement.)
+
+These requirements apply to the modified work as a whole.  If
+identifiable sections of that work are not derived from the Program,
+and can be reasonably considered independent and separate works in
+themselves, then this License, and its terms, do not apply to those
+sections when you distribute them as separate works.  But when you
+distribute the same sections as part of a whole which is a work based
+on the Program, the distribution of the whole must be on the terms of
+this License, whose permissions for other licensees extend to the
+entire whole, and thus to each and every part regardless of who wrote it.
+
+Thus, it is not the intent of this section to claim rights or contest
+your rights to work written entirely by you; rather, the intent is to
+exercise the right to control the distribution of derivative or
+collective works based on the Program.
+
+In addition, mere aggregation of another work not based on the Program
+with the Program (or with a work based on the Program) on a volume of
+a storage or distribution medium does not bring the other work under
+the scope of this License.
+
+  3. You may copy and distribute the Program (or a work based on it,
+under Section 2) in object code or executable form under the terms of
+Sections 1 and 2 above provided that you also do one of the following:
+
+    a) Accompany it with the complete corresponding machine-readable
+    source code, which must be distributed under the terms of Sections
+    1 and 2 above on a medium customarily used for software interchange; or,
+
+    b) Accompany it with a written offer, valid for at least three
+    years, to give any third party, for a charge no more than your
+    cost of physically performing source distribution, a complete
+    machine-readable copy of the corresponding source code, to be
+    distributed under the terms of Sections 1 and 2 above on a medium
+    customarily used for software interchange; or,
+
+    c) Accompany it with the information you received as to the offer
+    to distribute corresponding source code.  (This alternative is
+    allowed only for noncommercial distribution and only if you
+    received the program in object code or executable form with such
+    an offer, in accord with Subsection b above.)
+
+The source code for a work means the preferred form of the work for
+making modifications to it.  For an executable work, complete source
+code means all the source code for all modules it contains, plus any
+associated interface definition files, plus the scripts used to
+control compilation and installation of the executable.  However, as a
+special exception, the source code distributed need not include
+anything that is normally distributed (in either source or binary
+form) with the major components (compiler, kernel, and so on) of the
+operating system on which the executable runs, unless that component
+itself accompanies the executable.
+
+If distribution of executable or object code is made by offering
+access to copy from a designated place, then offering equivalent
+access to copy the source code from the same place counts as
+distribution of the source code, even though third parties are not
+compelled to copy the source along with the object code.
+
+  4. You may not copy, modify, sublicense, or distribute the Program
+except as expressly provided under this License.  Any attempt
+otherwise to copy, modify, sublicense or distribute the Program is
+void, and will automatically terminate your rights under this License.
+However, parties who have received copies, or rights, from you under
+this License will not have their licenses terminated so long as such
+parties remain in full compliance.
+
+  5. You are not required to accept this License, since you have not
+signed it.  However, nothing else grants you permission to modify or
+distribute the Program or its derivative works.  These actions are
+prohibited by law if you do not accept this License.  Therefore, by
+modifying or distributing the Program (or any work based on the
+Program), you indicate your acceptance of this License to do so, and
+all its terms and conditions for copying, distributing or modifying
+the Program or works based on it.
+
+  6. Each time you redistribute the Program (or any work based on the
+Program), the recipient automatically receives a license from the
+original licensor to copy, distribute or modify the Program subject to
+these terms and conditions.  You may not impose any further
+restrictions on the recipients' exercise of the rights granted herein.
+You are not responsible for enforcing compliance by third parties to
+this License.
+
+  7. If, as a consequence of a court judgment or allegation of patent
+infringement or for any other reason (not limited to patent issues),
+conditions are imposed on you (whether by court order, agreement or
+otherwise) that contradict the conditions of this License, they do not
+excuse you from the conditions of this License.  If you cannot
+distribute so as to satisfy simultaneously your obligations under this
+License and any other pertinent obligations, then as a consequence you
+may not distribute the Program at all.  For example, if a patent
+license would not permit royalty-free redistribution of the Program by
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+  To do so, attach the following notices to the program.  It is safest
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+    it under the terms of the GNU General Public License as published by
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+
+  <signature of Ty Coon>, 1 April 1989
+  Ty Coon, President of Vice
+
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+proprietary programs.  If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library.  If this is what you want to do, use the GNU Lesser General
+Public License instead of this License.

dep/freesurround/freesurround.vcxproj

@@ -0,0 +1,26 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <Import Project="..\msvc\vsprops\Configurations.props" />
+  <PropertyGroup Label="Globals">
+    <ProjectGuid>{1B0366E5-6F82-47B4-9FDD-D699C86AA077}</ProjectGuid>
+  </PropertyGroup>
+  <ItemGroup>
+    <ClCompile Include="src\channelmaps.cpp" />
+    <ClCompile Include="src\freesurround_decoder.cpp" />
+  </ItemGroup>
+  <ItemGroup>
+    <ClInclude Include="include\freesurround_decoder.h" />
+  </ItemGroup>
+  <ItemGroup>
+    <ProjectReference Include="..\kissfft\kissfft.vcxproj">
+      <Project>{a81d3f54-c58a-4b2d-8076-d4e483db2e65}</Project>
+    </ProjectReference>
+  </ItemGroup>
+  <Import Project="..\msvc\vsprops\StaticLibrary.props" />
+  <ItemDefinitionGroup>
+    <ClCompile>
+      <AdditionalIncludeDirectories>$(ProjectDir)include;$(ProjectDir)src;$(ProjectDir)..\kissfft\include;%(AdditionalIncludeDirectories)</AdditionalIncludeDirectories>
+    </ClCompile>
+  </ItemDefinitionGroup>
+  <Import Project="..\msvc\vsprops\Targets.props" />
+</Project>

dep/freesurround/freesurround.vcxproj.filters

@@ -0,0 +1,10 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <ItemGroup>
+    <ClCompile Include="src\freesurround_decoder.cpp" />
+    <ClCompile Include="src\channelmaps.cpp" />
+  </ItemGroup>
+  <ItemGroup>
+    <ClInclude Include="include\freesurround_decoder.h" />
+  </ItemGroup>
+</Project>

dep/freesurround/include/freesurround_decoder.h

@@ -0,0 +1,191 @@
+// SPDX-FileCopyrightText: 2007-2010 Christian Kothe, 2024 Connor McLaughlin <stenzek@gmail.com>
+// SPDX-License-Identifier: GPL-2.0+
+
+#pragma once
+
+#include "kiss_fftr.h"
+
+#include <array>
+#include <cmath>
+#include <complex>
+#include <span>
+#include <vector>
+
+/**
+ * The FreeSurround decoder.
+ */
+class FreeSurroundDecoder
+{
+public:
+  /**
+   * The supported output channel setups.
+   * A channel setup is defined by the set of channels that are present. Here is a graphic
+   * of the cs_5point1 setup: http://en.wikipedia.org/wiki/File:5_1_channels_(surround_sound)_label.svg
+   */
+  enum class ChannelSetup
+  {
+    Stereo,
+    Surround41,
+    Surround51,
+    Surround71,
+    Legacy, // same channels as cs_5point1 but different upmixing transform; does not support the focus control
+    MaxCount
+  };
+
+  static constexpr int grid_res = 21; // resolution of the lookup grid
+  using LUT = const float (*)[grid_res];
+
+  /**
+   * Create an instance of the decoder.
+   * @param setup The output channel setup -- determines the number of output channels
+   *			   and their place in the sound field.
+   * @param blocksize Granularity at which data is processed by the decode() function.
+   *				   Must be a power of two and should correspond to ca. 10ms worth of single-channel
+   *				   samples (default is 4096 for 44.1Khz data). Do not make it shorter or longer
+   *				   than 5ms to 20ms since the granularity at which locations are decoded
+   *				   changes with this.
+   */
+  FreeSurroundDecoder(ChannelSetup setup = ChannelSetup::Surround51, unsigned blocksize = 4096);
+  ~FreeSurroundDecoder();
+
+  /**
+   * Decode a chunk of stereo sound. The output is delayed by half of the blocksize.
+   * This function is the only one needed for straightforward decoding.
+   * @param input Contains exactly blocksize (multiplexed) stereo samples, i.e. 2*blocksize numbers.
+   * @return A pointer to an internal buffer of exactly blocksize (multiplexed) multichannel samples.
+   *		  The actual number of values depends on the number of output channels in the chosen
+   *		  channel setup.
+   */
+  float* Decode(float* input);
+
+  /**
+   * Flush the internal buffer.
+   */
+  void Flush();
+
+  // --- soundfield transformations
+  // These functions allow to set up geometric transformations of the sound field after it has been decoded.
+  // The sound field is best pictured as a 2-dimensional square with the listener in its
+  // center which can be shifted or stretched in various ways before it is sent to the
+  // speakers. The order in which these transformations are applied is as listed below.
+
+  /**
+   * Allows to wrap the soundfield around the listener in a circular manner.
+   * Determines the angle of the frontal sound stage relative to the listener, in degrees.
+   * A setting of 90° corresponds to standard surround decoding, 180° stretches the front stage from
+   * ear to ear, 270° wraps it around most of the head. The side and rear content of the sound
+   * field is compressed accordingly behind the listerer. (default: 90, range: [0°..360°])
+   */
+  void SetCircularWrap(float v);
+
+  /**
+   * Allows to shift the soundfield forward or backward.
+   * Value range: [-1.0..+1.0]. 0 is no offset, positive values move the sound
+   * forward, negative values move it backwards. (default: 0)
+   */
+  void SetShift(float v);
+
+  /**
+   * Allows to scale the soundfield backwards.
+   * Value range: [0.0..+5.0] -- 0 is all compressed to the front, 1 is no change, 5 is scaled 5x backwards (default: 1)
+   */
+  void SetDepth(float v);
+
+  /**
+   * Allows to control the localization (i.e., focality) of sources.
+   * Value range: [-1.0..+1.0] -- 0 means unchanged, positive means more localized, negative means more ambient
+   * (default: 0)
+   */
+  void SetFocus(float v);
+
+  // --- rendering parameters
+  // These parameters control how the sound field is mapped onto speakers.
+
+  /**
+   * Set the presence of the front center channel(s).
+   * Value range: [0.0..1.0] -- fully present at 1.0, fully replaced by left/right at 0.0 (default: 1).
+   * The default of 1.0 results in spec-conformant decoding ("movie mode") while a value of 0.7 is
+   * better suited for music reproduction (which is usually mixed without a center channel).
+   */
+  void SetCenterImage(float v);
+
+  /**
+   * Set the front stereo separation.
+   * Value range: [0.0..inf] -- 1.0 is default, 0.0 is mono.
+   */
+  void SetFrontSeparation(float v);
+
+  /**
+   * Set the rear stereo separation.
+   * Value range: [0.0..inf] -- 1.0 is default, 0.0 is mono.
+   */
+  void SetRearSeparation(float v);
+
+  // --- bass redirection (to LFE)
+
+  /**
+   * Enable/disable LFE channel (default: false = disabled)
+   */
+  void SetBassRedirection(bool v);
+
+  /**
+   * Set the lower end of the transition band, in Hz/Nyquist (default: 40/22050).
+   */
+  void SetLowCutoff(float v);
+
+  /**
+   * Set the upper end of the transition band, in Hz/Nyquist (default: 90/22050).
+   */
+  void SetHighCutoff(float v);
+
+  // --- info
+
+  /**
+   * Number of samples currently held in the buffer.
+   */
+  unsigned GetSamplesBuffered();
+
+private:
+  using cplx = std::complex<double>;
+
+  struct ChannelMap
+  {
+    std::span<const LUT> luts;
+    const float* xsf;
+  };
+
+  static const std::array<ChannelMap, static_cast<size_t>(ChannelSetup::MaxCount)> s_channel_maps;
+
+  void BufferedDecode(float* input);
+
+  // get the index (and fractional offset!) in a piecewise-linear channel allocation grid
+  static int MapToGrid(double& x);
+
+  // constants
+  const ChannelMap& cmap; // the channel setup
+  unsigned N, C;          // number of samples per input/output block, number of output channels
+
+  // parameters
+  float circular_wrap;    // angle of the front soundstage around the listener (90°=default)
+  float shift;            // forward/backward offset of the soundstage
+  float depth;            // backward extension of the soundstage
+  float focus;            // localization of the sound events
+  float center_image;     // presence of the center speaker
+  float front_separation; // front stereo separation
+  float rear_separation;  // rear stereo separation
+  float lo_cut, hi_cut;   // LFE cutoff frequencies
+  bool use_lfe;           // whether to use the LFE channel
+
+  // FFT data structures
+  std::vector<double> lt, rt, dst; // left total, right total (source arrays), time-domain destination buffer array
+  std::vector<cplx> lf, rf;        // left total / right total in frequency domain
+  kiss_fftr_cfg forward = nullptr;
+  kiss_fftr_cfg inverse = nullptr; // FFT buffers
+
+  // buffers
+  bool buffer_empty = true;              // whether the buffer is currently empty or dirty
+  std::vector<float> inbuf;              // stereo input buffer (multiplexed)
+  std::vector<float> outbuf;             // multichannel output buffer (multiplexed)
+  std::vector<double> wnd;               // the window function, precomputed
+  std::vector<std::vector<cplx>> signal; // the signal to be constructed in every channel, in the frequency domain
+};

dep/freesurround/src/channelmaps.cpp

@@ -0,0 +1,612 @@
+// SPDX-FileCopyrightText: 2007-2010 Christian Kothe, 2024 Connor McLaughlin <stenzek@gmail.com>
+// SPDX-License-Identifier: GPL-2.0+
+
+#include "freesurround_decoder.h"
+
+// clang-format off
+// static constexpr const float map_stereo_ang[] = {-27,27};
+static constexpr const float map_stereo_xsf[] = {-1,1};
+// static constexpr const float map_stereo_ysf[] = {1,1};
+// static constexpr const channel_id map_stereo_id[] = {ci_front_left,ci_front_right,ci_lfe};
+
+static constexpr const float map_stereo_lf[21][21] = {
+   {0.89443f,0.88524f,0.87458f,0.86193f,0.84742f,0.83047f,0.81079f,0.78857f,0.76362f,0.73631f,0.70763f,0.67665f,0.64566f,0.61552f,0.58534f,0.55766f,0.53151f,0.50762f,0.48547f,0.46573f,0.44721f},
+   {0.89755f,0.87472f,0.86612f,0.85527f,0.84283f,0.82769f,0.80772f,0.78219f,0.75429f,0.72489f,0.69458f,0.66356f,0.63344f,0.60389f,0.57501f,0.54892f,0.52695f,0.50759f,0.49065f,0.47592f,0.44112f},
+   {0.90095f,0.88263f,0.86463f,0.85404f,0.84112f,0.81939f,0.79647f,0.77027f,0.74204f,0.71371f,0.68556f,0.65692f,0.62867f,0.60011f,0.57242f,0.54621f,0.52095f,0.50185f,0.48478f,0.46223f,0.4341f},
+   {0.90493f,0.89124f,0.87451f,0.85436f,0.83602f,0.81484f,0.78982f,0.7639f,0.73649f,0.708f,0.67884f,0.64889f,0.61965f,0.5909f,0.56273f,0.53649f,0.51235f,0.49068f,0.46842f,0.44689f,0.42579f},
+   {0.90935f,0.89967f,0.88515f,0.86118f,0.83546f,0.81421f,0.78928f,0.76394f,0.73562f,0.70473f,0.67234f,0.63865f,0.60548f,0.57409f,0.5446f,0.51768f,0.49394f,0.47308f,0.45005f,0.43044f,0.41628f},
+   {0.91439f,0.90835f,0.8916f,0.87077f,0.84576f,0.81654f,0.79414f,0.76796f,0.738f,0.70338f,0.66454f,0.62424f,0.58439f,0.54783f,0.51607f,0.48945f,0.46806f,0.44967f,0.43169f,0.41295f,0.40509f},
+   {0.91999f,0.91639f,0.90136f,0.88119f,0.85747f,0.82956f,0.79891f,0.77322f,0.74276f,0.70354f,0.65538f,0.60316f,0.55904f,0.52739f,0.50105f,0.46894f,0.43968f,0.41993f,0.40718f,0.39424f,0.39222f},
+   {0.92644f,0.9241f,0.9116f,0.89398f,0.87092f,0.84203f,0.80896f,0.77654f,0.74815f,0.70562f,0.64332f,0.58646f,0.55102f,0.52708f,0.49359f,0.45559f,0.41942f,0.38954f,0.37761f,0.37267f,0.37675f},
+   {0.93328f,0.93254f,0.92229f,0.90504f,0.88134f,0.85208f,0.81768f,0.7839f,0.74647f,0.70855f,0.63549f,0.58487f,0.56076f,0.52616f,0.49005f,0.44864f,0.40794f,0.36999f,0.34436f,0.34665f,0.35949f},
+   {0.94079f,0.94125f,0.93189f,0.91311f,0.88749f,0.85631f,0.8194f,0.78057f,0.74338f,0.70163f,0.63671f,0.60162f,0.56723f,0.53186f,0.49174f,0.44781f,0.40347f,0.35901f,0.32088f,0.31729f,0.33938f},
+   {0.94868f,0.94932f,0.94007f,0.9189f,0.88975f,0.85124f,0.80805f,0.75887f,0.71167f,0.67363f,0.64218f,0.61199f,0.5782f,0.54f,0.49837f,0.4526f,0.40118f,0.3514f,0.3043f,0.28639f,0.31623f},
+   {0.95692f,0.95638f,0.94428f,0.91841f,0.8832f,0.83951f,0.7853f,0.73414f,0.69534f,0.66315f,0.63602f,0.61218f,0.58072f,0.54574f,0.50443f,0.45716f,0.40639f,0.35175f,0.29649f,0.26018f,0.29081f},
+   {0.96498f,0.96276f,0.94676f,0.91627f,0.8745f,0.82172f,0.76172f,0.71817f,0.68426f,0.66051f,0.62994f,0.60192f,0.58139f,0.54844f,0.5103f,0.46277f,0.40965f,0.35109f,0.28981f,0.23919f,0.26285f},
+   {0.97256f,0.96914f,0.94756f,0.91234f,0.86412f,0.80293f,0.74426f,0.70593f,0.68146f,0.65506f,0.62468f,0.59559f,0.57167f,0.55047f,0.51487f,0.46757f,0.41278f,0.35109f,0.2847f,0.21785f,0.23325f},
+   {0.97977f,0.97551f,0.94873f,0.90549f,0.85129f,0.78757f,0.73384f,0.70417f,0.67727f,0.64923f,0.62014f,0.59112f,0.56478f,0.54094f,0.51536f,0.47061f,0.4185f,0.35479f,0.27753f,0.19394f,0.20077f},
+   {0.9859f,0.97906f,0.94933f,0.90364f,0.84461f,0.7748f,0.73864f,0.70505f,0.6742f,0.64447f,0.61554f,0.5866f,0.55834f,0.53048f,0.50205f,0.47467f,0.41886f,0.35115f,0.27107f,0.18027f,0.16808f},
+   {0.99106f,0.97904f,0.95594f,0.90263f,0.84046f,0.79665f,0.74764f,0.70961f,0.67426f,0.64169f,0.61091f,0.58092f,0.55049f,0.51961f,0.4893f,0.45375f,0.41836f,0.34667f,0.24954f,0.17965f,0.13422f},
+   {0.99504f,0.97686f,0.94808f,0.90616f,0.87005f,0.82768f,0.77496f,0.72517f,0.68125f,0.64279f,0.60765f,0.5735f,0.53901f,0.50302f,0.46667f,0.42437f,0.38174f,0.33637f,0.26284f,0.18498f,0.10039f},
+   {0.99787f,0.97282f,0.93896f,0.92728f,0.91154f,0.86712f,0.82157f,0.76586f,0.70571f,0.65384f,0.60893f,0.56563f,0.52269f,0.47746f,0.42876f,0.38009f,0.31978f,0.29601f,0.27766f,0.19432f,0.066244f},
+   {0.99945f,0.96755f,0.9602f,0.94951f,0.93442f,0.91368f,0.87956f,0.82681f,0.76608f,0.70193f,0.63578f,0.56816f,0.50585f,0.44097f,0.37308f,0.31653f,0.27698f,0.24634f,0.22321f,0.20651f,0.033221f},
+   {1.000000f,0.99854f,0.99377f,0.9845f,0.96987f,0.94832f,0.91914f,0.87965f,0.83195f,0.77384f,0.70711f,0.63203f,0.55339f,0.47409f,0.39234f,0.31565f,0.24192f,0.17365f,0.10973f,0.052336f,7.8496e-017f}};
+
+static constexpr const float map_stereo_rf[21][21] = {
+   {0.44721f,0.46513f,0.48487f,0.50702f,0.53092f,0.55707f,0.58534f,0.61495f,0.64566f,0.67665f,0.70658f,0.73631f,0.76362f,0.78812f,0.81079f,0.83007f,0.84705f,0.86158f,0.87425f,0.88493f,0.89443f},
+   {0.44091f,0.47587f,0.49021f,0.50752f,0.52648f,0.54843f,0.57451f,0.6034f,0.63295f,0.66338f,0.69439f,0.72464f,0.75386f,0.78179f,0.80734f,0.82734f,0.84251f,0.85523f,0.86585f,0.87468f,0.89745f},
+   {0.43392f,0.46211f,0.48471f,0.50144f,0.52081f,0.54578f,0.57199f,0.59968f,0.62825f,0.65666f,0.68541f,0.71353f,0.74165f,0.76989f,0.79612f,0.81907f,0.84102f,0.85378f,0.86458f,0.88258f,0.90087f},
+   {0.42556f,0.4465f,0.46827f,0.49061f,0.51198f,0.53606f,0.56263f,0.59061f,0.61925f,0.64863f,0.67871f,0.70782f,0.73615f,0.76373f,0.78979f,0.81451f,0.83582f,0.85431f,0.87445f,0.89102f,0.90482f},
+   {0.41603f,0.43027f,0.44962f,0.47284f,0.49384f,0.51738f,0.54427f,0.57368f,0.6051f,0.63829f,0.67221f,0.7044f,0.7353f,0.76362f,0.78911f,0.81401f,0.83539f,0.86106f,0.88491f,0.8996f,0.90924f},
+   {0.40482f,0.41257f,0.43125f,0.44919f,0.46765f,0.48935f,0.51575f,0.54739f,0.58411f,0.62399f,0.66441f,0.70314f,0.73778f,0.76766f,0.79398f,0.81646f,0.84558f,0.8705f,0.89137f,0.90817f,0.91428f},
+   {0.39194f,0.39388f,0.40671f,0.41966f,0.43944f,0.46877f,0.50098f,0.52725f,0.55873f,0.60277f,0.65524f,0.70322f,0.74248f,0.77305f,0.79885f,0.8294f,0.85732f,0.88113f,0.90115f,0.91624f,0.91987f},
+   {0.37644f,0.37227f,0.37711f,0.38933f,0.41907f,0.45539f,0.49353f,0.52703f,0.55093f,0.58615f,0.64317f,0.70533f,0.74803f,0.77648f,0.8089f,0.84182f,0.8707f,0.89389f,0.9114f,0.92394f,0.92631f},
+   {0.35915f,0.34622f,0.34393f,0.36975f,0.40779f,0.44861f,0.48988f,0.52622f,0.56072f,0.58475f,0.63541f,0.70834f,0.74642f,0.78388f,0.81756f,0.85205f,0.88119f,0.90487f,0.92211f,0.93239f,0.93315f},
+   {0.339f,0.31682f,0.32073f,0.35905f,0.40342f,0.44785f,0.4917f,0.53187f,0.56716f,0.60159f,0.63667f,0.70158f,0.7434f,0.78057f,0.81937f,0.85635f,0.88742f,0.91312f,0.93183f,0.94111f,0.94065f},
+   {0.31623f,0.28631f,0.30427f,0.3514f,0.40119f,0.45261f,0.49838f,0.54f,0.5782f,0.61199f,0.64217f,0.67362f,0.71167f,0.75889f,0.80807f,0.85125f,0.88977f,0.91889f,0.94006f,0.9493f,0.94868f},
+   {0.29034f,0.25984f,0.29645f,0.35181f,0.40636f,0.45739f,0.5045f,0.54571f,0.58075f,0.61218f,0.63603f,0.66314f,0.69534f,0.73428f,0.78552f,0.83978f,0.8833f,0.91845f,0.94425f,0.95628f,0.95678f},
+   {0.26232f,0.23897f,0.28988f,0.35116f,0.40968f,0.46304f,0.51041f,0.54855f,0.58139f,0.60193f,0.62996f,0.66062f,0.68426f,0.71834f,0.76187f,0.82209f,0.87469f,0.91637f,0.94679f,0.96269f,0.96484f},
+   {0.23266f,0.21746f,0.28484f,0.3513f,0.41299f,0.46772f,0.51511f,0.55049f,0.57186f,0.59573f,0.6247f,0.65513f,0.68168f,0.70596f,0.74457f,0.80329f,0.86436f,0.91252f,0.94764f,0.96907f,0.97242f},
+   {0.20011f,0.19377f,0.27774f,0.3551f,0.41877f,0.47085f,0.51539f,0.54113f,0.56487f,0.59129f,0.62017f,0.64943f,0.67749f,0.70442f,0.73389f,0.78798f,0.85164f,0.90576f,0.94884f,0.97545f,0.97964f},
+   {0.16735f,0.18021f,0.2713f,0.35149f,0.41919f,0.47472f,0.50234f,0.53073f,0.5586f,0.58686f,0.61556f,0.64474f,0.6745f,0.70534f,0.73902f,0.77487f,0.84502f,0.90392f,0.94947f,0.97903f,0.98577f},
+   {0.13341f,0.17975f,0.24983f,0.34704f,0.41842f,0.45412f,0.48964f,0.5198f,0.5508f,0.58122f,0.61094f,0.6419f,0.6745f,0.71002f,0.74813f,0.79718f,0.84054f,0.90295f,0.9561f,0.97906f,0.99095f},
+   {0.099504f,0.18519f,0.2632f,0.33642f,0.38219f,0.42465f,0.46712f,0.50346f,0.53941f,0.57392f,0.60769f,0.64324f,0.68168f,0.72574f,0.77558f,0.82818f,0.87048f,0.90621f,0.94829f,0.97694f,0.99495f},
+   {0.065281f,0.19467f,0.27771f,0.29655f,0.32038f,0.38061f,0.42917f,0.47786f,0.52322f,0.56623f,0.609f,0.6545f,0.70642f,0.76654f,0.82216f,0.8676f,0.91195f,0.92761f,0.93899f,0.97296f,0.9978f},
+   {0.032183f,0.20655f,0.22377f,0.24703f,0.27778f,0.31734f,0.37412f,0.44199f,0.50657f,0.5692f,0.63593f,0.70292f,0.7669f,0.82752f,0.88018f,0.91412f,0.93482f,0.94983f,0.96045f,0.96758f,0.99942f},
+   {7.8496e-017f,0.054079f,0.11147f,0.17537f,0.24362f,0.3173f,0.39394f,0.47562f,0.55484f,0.63338f,0.70711f,0.77494f,0.83292f,0.88048f,0.91982f,0.94888f,0.9703f,0.98481f,0.99396f,0.99863f,1.000000f}};
+
+// static constexpr const float map_4point1_ang[] = {-27,27,-105,105};
+static constexpr const float map_4point1_xsf[] = {-1,1,-1,1};
+// static constexpr const float map_4point1_ysf[] = {1,1,-1,-1};
+// static constexpr const channel_id map_4point1_id[] = {ci_front_left,ci_front_right,ci_back_left,ci_back_right,ci_lfe};
+
+static constexpr const float map_4point1_lf[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.054079f,0.13605f,0.11031f,0.083738f,0.058746f,0.03616f,0.022585f,0.018356f,0.012179f,0.0043961f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.11103f,0.16562f,0.18635f,0.15778f,0.12791f,0.12403f,0.10709f,0.090176f,0.070512f,0.049741f,0.027549f,0.011727f,0.0013628f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.17535f,0.20208f,0.21809f,0.22862f,0.21842f,0.20197f,0.18341f,0.15706f,0.13031f,0.10103f,0.068601f,0.041975f,0.018696f,0.0039144f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.24362f,0.24543f,0.25563f,0.27972f,0.28786f,0.26979f,0.24789f,0.21805f,0.18569f,0.14921f,0.10871f,0.073541f,0.041097f,0.017152f,0.0038597f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.3173f,0.29703f,0.31848f,0.33006f,0.33185f,0.32708f,0.30247f,0.27305f,0.23691f,0.19431f,0.14844f,0.10174f,0.061737f,0.03134f,0.011327f,0.0027159f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.39394f,0.36121f,0.3753f,0.38051f,0.37698f,0.36547f,0.34958f,0.3221f,0.28469f,0.23727f,0.18262f,0.12638f,0.083376f,0.055926f,0.035607f,0.011267f,0.0038302f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.47562f,0.43164f,0.43211f,0.42875f,0.41905f,0.40425f,0.38486f,0.3601f,0.3262f,0.27779f,0.21259f,0.15374f,0.11534f,0.092532f,0.055768f,0.031114f,0.016973f,0.0038919f,0.000000f,0.000000f,0.000000f},
+   {0.55484f,0.49969f,0.48676f,0.47535f,0.45999f,0.4406f,0.41747f,0.39084f,0.3589f,0.31565f,0.24497f,0.18988f,0.16127f,0.11527f,0.083186f,0.061436f,0.040831f,0.018492f,0.0013084f,0.000000f,0.000000f},
+   {0.63203f,0.56664f,0.53922f,0.51913f,0.49762f,0.47305f,0.44521f,0.41467f,0.38246f,0.34456f,0.28169f,0.24152f,0.1898f,0.15351f,0.12607f,0.10138f,0.073199f,0.041753f,0.011636f,0.000000f,0.000000f},
+   {0.70711f,0.63601f,0.5915f,0.56154f,0.5324f,0.49872f,0.46317f,0.42387f,0.38431f,0.34937f,0.31849f,0.28164f,0.24488f,0.21244f,0.18245f,0.14826f,0.10854f,0.068473f,0.027433f,0.000000f,0.000000f},
+   {0.77384f,0.7028f,0.64182f,0.59999f,0.5611f,0.52035f,0.47318f,0.42773f,0.39037f,0.35676f,0.34937f,0.34453f,0.31539f,0.27747f,0.23686f,0.19392f,0.14881f,0.1006f,0.049384f,0.0043772f,0.000000f},
+   {0.83292f,0.76642f,0.69548f,0.63988f,0.59007f,0.53795f,0.48146f,0.43778f,0.40135f,0.39034f,0.38431f,0.3824f,0.35884f,0.32588f,0.28429f,0.2365f,0.18525f,0.12989f,0.070085f,0.011962f,0.000000f},
+   {0.88048f,0.82659f,0.75196f,0.68173f,0.61966f,0.55557f,0.49389f,0.45152f,0.43774f,0.42776f,0.42387f,0.41451f,0.39065f,0.36002f,0.32174f,0.27262f,0.21753f,0.15652f,0.089694f,0.018075f,0.000000f},
+   {0.91982f,0.87898f,0.80369f,0.72266f,0.64727f,0.57793f,0.51602f,0.49394f,0.48142f,0.47314f,0.46315f,0.44506f,0.41722f,0.38449f,0.34948f,0.30197f,0.24734f,0.18313f,0.10655f,0.022264f,0.000000f},
+   {0.94888f,0.91176f,0.84521f,0.76937f,0.68766f,0.60203f,0.57788f,0.55561f,0.53794f,0.52028f,0.49868f,0.47276f,0.44023f,0.40381f,0.36503f,0.32695f,0.26927f,0.20135f,0.12342f,0.035717f,0.000000f},
+   {0.9703f,0.92966f,0.89031f,0.80673f,0.72356f,0.6876f,0.64713f,0.61943f,0.5899f,0.56088f,0.53232f,0.49722f,0.45953f,0.41857f,0.37646f,0.33123f,0.28771f,0.21775f,0.12737f,0.058204f,0.000000f},
+   {0.98481f,0.94077f,0.8973f,0.84179f,0.80663f,0.76916f,0.72238f,0.68134f,0.63953f,0.59955f,0.56144f,0.51865f,0.47475f,0.42817f,0.38012f,0.32941f,0.27908f,0.22844f,0.15705f,0.083257f,0.000000f},
+   {0.99396f,0.94647f,0.89932f,0.89719f,0.89008f,0.84488f,0.80323f,0.75136f,0.69482f,0.64113f,0.59135f,0.53856f,0.48604f,0.43137f,0.37452f,0.3177f,0.25473f,0.21738f,0.18614f,0.10958f,0.000000f},
+   {0.99855f,0.94808f,0.94637f,0.94057f,0.92934f,0.91132f,0.87838f,0.82589f,0.76558f,0.70182f,0.63578f,0.56555f,0.49868f,0.43048f,0.35999f,0.29603f,0.24451f,0.20108f,0.16489f,0.1358f,0.000000f},
+   {1.000000f,0.99854f,0.99377f,0.9845f,0.96987f,0.94832f,0.91914f,0.87965f,0.83195f,0.77384f,0.70711f,0.63203f,0.55339f,0.47409f,0.39234f,0.31565f,0.24192f,0.17365f,0.10973f,0.052336f,0.000000f}};
+
+static constexpr const float map_4point1_rf[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0043772f,0.011962f,0.018075f,0.022264f,0.035717f,0.058204f,0.083257f,0.10958f,0.13592f,0.052336f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0013084f,0.011636f,0.027472f,0.049384f,0.070085f,0.089694f,0.10655f,0.12342f,0.12737f,0.15705f,0.18623f,0.16489f,0.10973f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0038919f,0.018492f,0.041753f,0.068513f,0.1006f,0.12983f,0.15652f,0.18313f,0.20135f,0.21775f,0.22851f,0.21738f,0.20108f,0.17363f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0038302f,0.016973f,0.040831f,0.073199f,0.10859f,0.14876f,0.1852f,0.21753f,0.24734f,0.26927f,0.28776f,0.27908f,0.25473f,0.24451f,0.24192f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.002725f,0.011267f,0.031114f,0.061436f,0.10138f,0.14831f,0.19392f,0.2365f,0.27257f,0.30197f,0.327f,0.33123f,0.32934f,0.31761f,0.29589f,0.31565f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.0039191f,0.011379f,0.035584f,0.055812f,0.083146f,0.12603f,0.18248f,0.23686f,0.28429f,0.32174f,0.34952f,0.36503f,0.37646f,0.38012f,0.37444f,0.35999f,0.39234f},
+   {0.000000f,0.000000f,0.000000f,0.0039822f,0.017152f,0.03134f,0.055926f,0.09249f,0.11527f,0.15351f,0.21247f,0.27743f,0.32588f,0.36005f,0.38449f,0.40381f,0.41852f,0.42817f,0.43128f,0.43048f,0.47409f},
+   {0.000000f,0.000000f,0.0013628f,0.018696f,0.041097f,0.061737f,0.083376f,0.11538f,0.16121f,0.18976f,0.24491f,0.31539f,0.35887f,0.39065f,0.41717f,0.44023f,0.45953f,0.47475f,0.48597f,0.49857f,0.55339f},
+   {0.000000f,0.000000f,0.011806f,0.042039f,0.073541f,0.10174f,0.12638f,0.15373f,0.18988f,0.24145f,0.28167f,0.34454f,0.38236f,0.41451f,0.445f,0.47276f,0.49722f,0.51865f,0.53856f,0.56555f,0.63203f},
+   {0.000000f,8.5322e-019f,0.027472f,0.068532f,0.10862f,0.14835f,0.18253f,0.21252f,0.24491f,0.28164f,0.31849f,0.34939f,0.38433f,0.42389f,0.46318f,0.49872f,0.53237f,0.56148f,0.59141f,0.63586f,0.70711f},
+   {0.000000f,0.0045097f,0.049741f,0.10103f,0.14921f,0.19436f,0.23726f,0.27779f,0.31563f,0.34453f,0.34938f,0.35677f,0.39034f,0.42771f,0.47314f,0.52028f,0.56081f,0.59955f,0.64113f,0.70182f,0.77384f},
+   {0.000000f,0.012179f,0.070512f,0.13031f,0.18569f,0.23696f,0.28468f,0.3262f,0.35886f,0.38246f,0.38432f,0.39033f,0.40136f,0.43778f,0.48142f,0.53794f,0.58984f,0.63945f,0.69482f,0.76558f,0.83195f},
+   {0.000000f,0.018356f,0.090176f,0.15706f,0.21803f,0.27305f,0.32214f,0.36006f,0.39088f,0.41462f,0.42388f,0.42773f,0.43778f,0.45153f,0.49394f,0.55555f,0.61943f,0.68134f,0.75136f,0.82586f,0.87965f},
+   {0.000000f,0.022585f,0.10709f,0.1837f,0.24789f,0.30247f,0.34954f,0.38486f,0.41747f,0.44521f,0.46317f,0.47313f,0.48141f,0.49393f,0.51604f,0.57793f,0.64713f,0.7226f,0.80323f,0.87839f,0.91914f},
+   {0.000000f,0.03616f,0.12403f,0.20197f,0.26986f,0.32703f,0.36552f,0.40423f,0.4406f,0.47305f,0.49872f,0.5204f,0.538f,0.55557f,0.57793f,0.60205f,0.6876f,0.76916f,0.84488f,0.91132f,0.94832f},
+   {0.000000f,0.058746f,0.12802f,0.21842f,0.2878f,0.33185f,0.37704f,0.41905f,0.45997f,0.4976f,0.53237f,0.5611f,0.59007f,0.61958f,0.64727f,0.6877f,0.7236f,0.80663f,0.89008f,0.92934f,0.96987f},
+   {0.000000f,0.083896f,0.15778f,0.22854f,0.27982f,0.33006f,0.38081f,0.42882f,0.47533f,0.51919f,0.56149f,0.59999f,0.63988f,0.68173f,0.72294f,0.76935f,0.80673f,0.84179f,0.89719f,0.94057f,0.9845f},
+   {0.000000f,0.11031f,0.18625f,0.21822f,0.25563f,0.31848f,0.3753f,0.43211f,0.48676f,0.5393f,0.59144f,0.64182f,0.69546f,0.75192f,0.80366f,0.84518f,0.89031f,0.8973f,0.8993f,0.94637f,0.99377f},
+   {0.000000f,0.13592f,0.16581f,0.20208f,0.24559f,0.29703f,0.36121f,0.43162f,0.49969f,0.56664f,0.63593f,0.7028f,0.76638f,0.82659f,0.87898f,0.91171f,0.92966f,0.94077f,0.94647f,0.94806f,0.99846f},
+   {7.8496e-017f,0.054079f,0.11147f,0.17537f,0.24362f,0.3173f,0.39394f,0.47562f,0.55484f,0.63338f,0.70711f,0.77494f,0.83292f,0.88048f,0.91982f,0.94888f,0.9703f,0.98481f,0.99396f,0.99863f,1.000000f}};
+
+static constexpr const float map_4point1_ls[21][21] = {
+   {1.000000f,0.99863f,0.99396f,0.98481f,0.9703f,0.94888f,0.91914f,0.88048f,0.83195f,0.77384f,0.70834f,0.63338f,0.55484f,0.47562f,0.39394f,0.3173f,0.24362f,0.17537f,0.11147f,0.054079f,-7.8496e-017f},
+   {0.99854f,0.94804f,0.94647f,0.94043f,0.92966f,0.91177f,0.87898f,0.82659f,0.76643f,0.70248f,0.63602f,0.56664f,0.49969f,0.43164f,0.36121f,0.29703f,0.24559f,0.20208f,0.16581f,0.13592f,0.000000f},
+   {0.99373f,0.94619f,0.89929f,0.8973f,0.89f,0.84522f,0.80369f,0.75196f,0.69549f,0.64182f,0.59149f,0.53909f,0.48676f,0.43211f,0.3753f,0.31848f,0.25563f,0.21817f,0.18628f,0.11031f,0.000000f},
+   {0.98443f,0.94057f,0.89693f,0.84178f,0.80673f,0.76938f,0.72295f,0.68173f,0.63988f,0.59999f,0.56152f,0.51902f,0.47535f,0.42864f,0.38061f,0.33006f,0.27965f,0.22857f,0.15778f,0.083896f,0.000000f},
+   {0.96987f,0.92924f,0.89008f,0.8064f,0.72353f,0.68753f,0.64727f,0.61961f,0.59007f,0.5611f,0.53236f,0.49762f,0.45999f,0.41905f,0.37687f,0.33185f,0.28785f,0.21842f,0.12802f,0.058746f,0.000000f},
+   {0.94832f,0.91132f,0.84488f,0.76916f,0.6876f,0.60199f,0.57793f,0.55557f,0.53786f,0.52026f,0.49866f,0.47305f,0.4406f,0.40425f,0.36538f,0.32707f,0.2697f,0.20197f,0.12403f,0.03616f,0.000000f},
+   {0.91914f,0.87839f,0.80323f,0.72262f,0.64697f,0.57779f,0.51599f,0.49381f,0.48147f,0.4732f,0.46311f,0.44521f,0.41747f,0.38486f,0.34957f,0.30247f,0.24789f,0.18361f,0.10709f,0.022585f,0.000000f},
+   {0.87965f,0.82586f,0.75136f,0.68116f,0.61943f,0.55563f,0.49394f,0.45149f,0.43778f,0.42773f,0.42381f,0.41464f,0.39077f,0.36007f,0.32202f,0.27305f,0.21805f,0.15706f,0.090176f,0.018356f,0.000000f},
+   {0.83195f,0.76558f,0.69482f,0.63955f,0.58992f,0.53794f,0.48142f,0.43767f,0.40132f,0.39038f,0.38425f,0.38246f,0.35885f,0.3262f,0.2847f,0.23683f,0.18569f,0.13031f,0.070512f,0.012179f,0.000000f},
+   {0.77494f,0.70182f,0.64105f,0.59937f,0.5609f,0.52028f,0.47314f,0.42777f,0.39034f,0.35673f,0.34932f,0.34449f,0.31565f,0.27779f,0.23728f,0.19424f,0.14921f,0.10103f,0.049741f,0.0045097f,0.000000f},
+   {0.70711f,0.63577f,0.59134f,0.56143f,0.53234f,0.49869f,0.46315f,0.42387f,0.38431f,0.34937f,0.3185f,0.28163f,0.2449f,0.21252f,0.18253f,0.14834f,0.1086f,0.068513f,0.027472f,-8.5322e-019f,0.000000f},
+   {0.63338f,0.56555f,0.53856f,0.51865f,0.49722f,0.47263f,0.44507f,0.41451f,0.38241f,0.34452f,0.2816f,0.24145f,0.18988f,0.15379f,0.12638f,0.10174f,0.073541f,0.042039f,0.011806f,0.000000f,0.000000f},
+   {0.55339f,0.49871f,0.48607f,0.47475f,0.45953f,0.44013f,0.41724f,0.39065f,0.35885f,0.31539f,0.24485f,0.1898f,0.16119f,0.11535f,0.083376f,0.061737f,0.041097f,0.018696f,0.0013628f,0.000000f,0.000000f},
+   {0.47409f,0.43048f,0.43138f,0.42817f,0.41859f,0.40381f,0.38442f,0.36003f,0.32583f,0.27748f,0.21245f,0.15351f,0.11527f,0.092466f,0.055926f,0.03134f,0.017152f,0.0039822f,0.000000f,0.000000f,0.000000f},
+   {0.39234f,0.35999f,0.37455f,0.38033f,0.37646f,0.36503f,0.34948f,0.32174f,0.28429f,0.23686f,0.18246f,0.12608f,0.083197f,0.055812f,0.03557f,0.011379f,0.0039191f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.31565f,0.29607f,0.31773f,0.32943f,0.33124f,0.32696f,0.30198f,0.27263f,0.2365f,0.19392f,0.14828f,0.10138f,0.061436f,0.031114f,0.011267f,0.002725f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.24192f,0.24451f,0.25473f,0.27908f,0.28772f,0.26927f,0.24734f,0.21753f,0.18526f,0.14882f,0.10856f,0.073199f,0.040831f,0.01704f,0.0038302f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.17365f,0.20108f,0.21738f,0.22846f,0.21775f,0.20135f,0.18335f,0.15652f,0.12991f,0.1006f,0.068474f,0.041753f,0.018492f,0.0038919f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.10973f,0.16489f,0.18616f,0.15705f,0.12737f,0.12342f,0.10655f,0.089694f,0.070085f,0.049384f,0.027446f,0.011636f,0.0013628f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.052332f,0.13583f,0.10958f,0.083257f,0.058204f,0.035717f,0.022438f,0.018227f,0.011962f,0.0043772f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
+
+static constexpr const float map_4point1_rs[21][21] = {
+   {-7.8496e-017f,0.052336f,0.10973f,0.17365f,0.24192f,0.31565f,0.39394f,0.47409f,0.55484f,0.63338f,0.70587f,0.77384f,0.83195f,0.87965f,0.91914f,0.94832f,0.96987f,0.9845f,0.99377f,0.99854f,1.000000f},
+   {0.000000f,0.13583f,0.16489f,0.20208f,0.24451f,0.29589f,0.35999f,0.43048f,0.49857f,0.56633f,0.63558f,0.70182f,0.76558f,0.82586f,0.87839f,0.91132f,0.92934f,0.94057f,0.94637f,0.94804f,0.99863f},
+   {0.000000f,0.11031f,0.18615f,0.21738f,0.25552f,0.31761f,0.37444f,0.43128f,0.48597f,0.53856f,0.59121f,0.64167f,0.69482f,0.75136f,0.80323f,0.84488f,0.89008f,0.89725f,0.89927f,0.94647f,0.99396f},
+   {0.000000f,0.083257f,0.15778f,0.22845f,0.27908f,0.32934f,0.38061f,0.42817f,0.47475f,0.51865f,0.56131f,0.59998f,0.63948f,0.6818f,0.72306f,0.76916f,0.80688f,0.84174f,0.8973f,0.94077f,0.98473f},
+   {0.000000f,0.058746f,0.12737f,0.2183f,0.28772f,0.33167f,0.37646f,0.41852f,0.45953f,0.49722f,0.53221f,0.56083f,0.58986f,0.61943f,0.64753f,0.6876f,0.72348f,0.80673f,0.89031f,0.92966f,0.9703f},
+   {0.000000f,0.035717f,0.12342f,0.20135f,0.26927f,0.32696f,0.36503f,0.40381f,0.44057f,0.47309f,0.49858f,0.52028f,0.53794f,0.55557f,0.57829f,0.60191f,0.688f,0.76938f,0.84522f,0.91177f,0.94888f},
+   {0.000000f,0.022264f,0.10655f,0.18361f,0.24774f,0.30233f,0.34948f,0.3848f,0.41719f,0.44502f,0.46308f,0.47314f,0.48142f,0.49394f,0.51592f,0.57793f,0.64727f,0.72306f,0.80369f,0.87898f,0.91982f},
+   {0.000000f,0.018075f,0.089694f,0.15698f,0.21753f,0.27257f,0.32174f,0.36002f,0.39065f,0.41451f,0.4238f,0.42773f,0.43804f,0.45143f,0.49424f,0.55557f,0.61961f,0.68173f,0.75196f,0.82659f,0.88048f},
+   {0.000000f,0.011962f,0.070085f,0.12983f,0.1852f,0.2365f,0.28429f,0.32614f,0.35884f,0.38237f,0.38425f,0.39034f,0.40127f,0.43778f,0.48142f,0.53827f,0.59007f,0.63988f,0.69549f,0.76643f,0.83292f},
+   {0.000000f,0.0043772f,0.049741f,0.10103f,0.14876f,0.19392f,0.23686f,0.27743f,0.31539f,0.34452f,0.34932f,0.35669f,0.39034f,0.42773f,0.47315f,0.52061f,0.5611f,0.59999f,0.64182f,0.7028f,0.77494f},
+   {0.000000f,-8.5322e-019f,0.027447f,0.068465f,0.10853f,0.14825f,0.18244f,0.21244f,0.24485f,0.28161f,0.31849f,0.34932f,0.38425f,0.42381f,0.46314f,0.49869f,0.53239f,0.56152f,0.59147f,0.63596f,0.70711f},
+   {0.000000f,0.000000f,0.011636f,0.041753f,0.073199f,0.1017f,0.12603f,0.15351f,0.18976f,0.24145f,0.28164f,0.34451f,0.38246f,0.41464f,0.44521f,0.47305f,0.49762f,0.51919f,0.5393f,0.56664f,0.63338f},
+   {0.000000f,0.000000f,0.0013084f,0.018492f,0.040831f,0.061737f,0.083146f,0.11527f,0.16121f,0.18988f,0.2449f,0.31565f,0.35887f,0.39092f,0.41747f,0.4406f,0.45999f,0.47535f,0.48676f,0.49969f,0.55484f},
+   {0.000000f,0.000000f,0.000000f,0.0038919f,0.016973f,0.031114f,0.056058f,0.092505f,0.11557f,0.15374f,0.21251f,0.27779f,0.3262f,0.36008f,0.38486f,0.40425f,0.41905f,0.42882f,0.43211f,0.43164f,0.47562f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.0038302f,0.011267f,0.0356f,0.055926f,0.083376f,0.12638f,0.18252f,0.23728f,0.2847f,0.32214f,0.34955f,0.36552f,0.37704f,0.38081f,0.3753f,0.36121f,0.39394f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0027341f,0.011405f,0.03134f,0.061737f,0.10174f,0.14834f,0.19436f,0.23696f,0.27305f,0.30247f,0.32704f,0.33185f,0.33006f,0.31848f,0.29703f,0.3173f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0039191f,0.017152f,0.041097f,0.073541f,0.10862f,0.14921f,0.18569f,0.21805f,0.24789f,0.26986f,0.28782f,0.27982f,0.25563f,0.24559f,0.24362f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0039822f,0.018696f,0.042039f,0.068554f,0.10103f,0.13031f,0.15706f,0.1837f,0.20197f,0.21842f,0.22858f,0.21822f,0.20208f,0.17537f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0013628f,0.011806f,0.027511f,0.049741f,0.070512f,0.090176f,0.10709f,0.12403f,0.12802f,0.15778f,0.1863f,0.16581f,0.11147f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-8.5322e-019f,0.0045097f,0.012179f,0.018356f,0.022585f,0.03616f,0.058746f,0.083896f,0.11031f,0.136f,0.054075f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-7.8496e-017f}};
+
+// static constexpr const float map_5point1_ang[] = {-27,0,27,-105,105};
+static constexpr const float map_5point1_xsf[] = {-1,0,1,-1,1};
+// static constexpr const float map_5point1_ysf[] = {1,1,1,-1,-1};
+// static constexpr const channel_id map_5point1_id[] = {ci_front_left,ci_front_center,ci_front_right,ci_back_left,ci_back_right,ci_lfe};
+
+static constexpr const float map_5point1_lf[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.054079f,0.13605f,0.11031f,0.083738f,0.058746f,0.03616f,0.022585f,0.018356f,0.012179f,0.0043961f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.11103f,0.16562f,0.18635f,0.15778f,0.12791f,0.12403f,0.10709f,0.090176f,0.070512f,0.049741f,0.027549f,0.011727f,0.0013628f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.17535f,0.20208f,0.21809f,0.22862f,0.21842f,0.20197f,0.18341f,0.15706f,0.13031f,0.10103f,0.068601f,0.041975f,0.018696f,0.0039144f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.24362f,0.24543f,0.25563f,0.27972f,0.28786f,0.26979f,0.24789f,0.21805f,0.18569f,0.14921f,0.10871f,0.073541f,0.041097f,0.017152f,0.0038597f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.3173f,0.29703f,0.31848f,0.33006f,0.33185f,0.32571f,0.30203f,0.27305f,0.23691f,0.19431f,0.14844f,0.10174f,0.061737f,0.03134f,0.010908f,0.0013625f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.39394f,0.36121f,0.3753f,0.38051f,0.37306f,0.35451f,0.33178f,0.30958f,0.28023f,0.23726f,0.18262f,0.12638f,0.07899f,0.043546f,0.017841f,0.00044495f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.47562f,0.43164f,0.43211f,0.42477f,0.4019f,0.37291f,0.34131f,0.31385f,0.29675f,0.2674f,0.21259f,0.14347f,0.086077f,0.046322f,0.012467f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.55484f,0.49969f,0.48539f,0.45665f,0.41889f,0.37886f,0.33895f,0.30764f,0.28138f,0.2723f,0.23279f,0.14674f,0.083778f,0.032293f,0.0048976f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.63203f,0.56664f,0.52742f,0.47709f,0.42408f,0.37424f,0.33419f,0.30176f,0.27482f,0.25011f,0.23665f,0.1471f,0.082204f,0.040759f,0.015195f,0.0028496f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.70711f,0.63601f,0.56403f,0.49301f,0.42572f,0.37154f,0.33227f,0.30051f,0.27246f,0.24769f,0.22385f,0.17996f,0.13303f,0.089089f,0.051572f,0.021112f,0.0019269f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.77384f,0.69829f,0.59208f,0.49896f,0.42627f,0.37547f,0.33559f,0.30342f,0.27695f,0.2532f,0.24555f,0.24096f,0.202f,0.15312f,0.099312f,0.049149f,0.01419f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.83292f,0.75424f,0.62497f,0.51188f,0.43577f,0.38288f,0.34157f,0.31064f,0.28485f,0.27588f,0.27011f,0.26791f,0.24233f,0.19874f,0.14444f,0.081488f,0.031102f,0.0022352f,0.000000f,0.000000f,0.000000f},
+   {0.88048f,0.80823f,0.66178f,0.53219f,0.45043f,0.39421f,0.35046f,0.32046f,0.30985f,0.30176f,0.29791f,0.28855f,0.26277f,0.22895f,0.1783f,0.11122f,0.048526f,0.0073556f,0.000000f,0.000000f,0.000000f},
+   {0.91982f,0.8564f,0.6966f,0.55364f,0.46596f,0.41011f,0.36623f,0.3499f,0.34025f,0.33348f,0.32389f,0.30536f,0.27602f,0.24046f,0.19967f,0.13416f,0.066173f,0.014462f,0.000000f,0.000000f,0.000000f},
+   {0.94888f,0.8756f,0.72118f,0.58509f,0.49378f,0.42727f,0.40951f,0.39303f,0.37927f,0.36377f,0.34295f,0.31626f,0.28156f,0.24129f,0.19667f,0.15218f,0.075526f,0.017441f,0.000000f,0.000000f,0.000000f},
+   {0.9703f,0.87092f,0.76228f,0.60765f,0.51716f,0.48514f,0.45531f,0.43328f,0.40894f,0.38299f,0.35389f,0.31939f,0.27862f,0.23237f,0.18465f,0.12881f,0.081296f,0.019071f,0.000000f,0.000000f,0.000000f},
+   {0.98481f,0.85688f,0.73952f,0.62982f,0.5767f,0.53382f,0.4939f,0.46098f,0.42667f,0.39124f,0.35254f,0.31034f,0.26195f,0.20782f,0.15167f,0.09417f,0.04946f,0.016531f,0.000000f,0.000000f,0.000000f},
+   {0.99396f,0.83616f,0.71307f,0.68155f,0.64457f,0.57478f,0.52315f,0.47464f,0.42859f,0.38222f,0.33181f,0.27965f,0.21975f,0.15464f,0.094607f,0.047925f,0.0098814f,0.0024671f,0.000000f,0.000000f,0.000000f},
+   {0.99855f,0.81216f,0.78057f,0.73849f,0.68375f,0.61653f,0.5369f,0.46213f,0.39741f,0.33339f,0.26339f,0.19725f,0.13069f,0.067274f,0.019339f,0.0021311f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {1.000000f,0.94446f,0.8823f,0.80914f,0.72626f,0.63102f,0.52519f,0.40402f,0.27711f,0.14046f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
+
+static constexpr const float map_5point1_cf[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019269f,0.00062925f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.00059225f,0.001914f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.0055425f,0.0155f,0.025167f,0.017695f,0.0063155f,1.0116e-005f,0.000000f,0.000000f,0.0062031f,0.017508f,0.025125f,0.015305f,0.0054168f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.0056317f,0.024256f,0.044322f,0.061583f,0.065405f,0.041656f,0.014688f,4.0817e-019f,0.014527f,0.041389f,0.065342f,0.061236f,0.044002f,0.024003f,0.005504f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.0019274f,0.02644f,0.05812f,0.08731f,0.11105f,0.11767f,0.10963f,0.061306f,0.017226f,0.061006f,0.10958f,0.11735f,0.11066f,0.086884f,0.057744f,0.026151f,0.0018503f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.016697f,0.059451f,0.104f,0.13974f,0.15702f,0.15962f,0.15223f,0.13355f,0.063692f,0.13353f,0.15211f,0.15945f,0.15675f,0.13934f,0.10352f,0.059047f,0.016456f,0.000000f,0.000000f},
+   {0.000000f,1.2068e-018f,0.038851f,0.096919f,0.15087f,0.17987f,0.18511f,0.17445f,0.15817f,0.14379f,0.13384f,0.14378f,0.15816f,0.17444f,0.18509f,0.17981f,0.15076f,0.096821f,0.038797f,0.000000f,0.000000f},
+   {0.000000f,0.0063777f,0.070344f,0.14288f,0.19068f,0.2049f,0.19453f,0.1758f,0.16036f,0.14645f,0.14681f,0.14646f,0.16036f,0.1758f,0.19453f,0.20473f,0.19031f,0.14227f,0.06984f,0.0061903f,0.000000f},
+   {0.000000f,0.017224f,0.099719f,0.18101f,0.21822f,0.2193f,0.19777f,0.17979f,0.16475f,0.16187f,0.16149f,0.16187f,0.16477f,0.1798f,0.19777f,0.21922f,0.21792f,0.18045f,0.099116f,0.016918f,0.000000f},
+   {0.000000f,0.02596f,0.12753f,0.21148f,0.23925f,0.22819f,0.20284f,0.18535f,0.18085f,0.17814f,0.17812f,0.17814f,0.18084f,0.18536f,0.20284f,0.22818f,0.23901f,0.21095f,0.12685f,0.025562f,0.000000f},
+   {0.000000f,0.03194f,0.15144f,0.23904f,0.2564f,0.23733f,0.21182f,0.20371f,0.19964f,0.19751f,0.19694f,0.1975f,0.19963f,0.20369f,0.21184f,0.23733f,0.25621f,0.23853f,0.15068f,0.031485f,0.000000f},
+   {0.000000f,0.051138f,0.17541f,0.26062f,0.27419f,0.24713f,0.23812f,0.22985f,0.2244f,0.22133f,0.22022f,0.22132f,0.22439f,0.22984f,0.2381f,0.24715f,0.274f,0.26009f,0.17455f,0.050511f,0.000000f},
+   {0.000000f,0.08308f,0.18105f,0.28155f,0.29188f,0.28632f,0.27128f,0.26327f,0.25585f,0.25151f,0.25234f,0.2515f,0.25584f,0.26325f,0.27127f,0.28627f,0.29189f,0.28098f,0.18013f,0.082312f,0.000000f},
+   {0.000000f,0.11865f,0.22314f,0.29977f,0.32517f,0.33282f,0.32312f,0.31164f,0.30095f,0.2946f,0.29542f,0.29459f,0.30094f,0.31163f,0.32308f,0.33259f,0.32473f,0.29967f,0.22211f,0.11774f,0.000000f},
+   {0.000000f,0.15601f,0.26339f,0.30497f,0.3472f,0.38198f,0.39609f,0.39135f,0.3765f,0.36616f,0.36703f,0.36615f,0.37649f,0.39123f,0.39574f,0.3814f,0.34627f,0.30393f,0.26322f,0.15497f,0.000000f},
+   {0.000000f,0.19222f,0.23448f,0.28578f,0.34732f,0.4169f,0.48293f,0.51439f,0.52067f,0.52104f,0.52661f,0.52086f,0.52026f,0.51365f,0.48176f,0.41543f,0.34579f,0.28436f,0.23319f,0.19202f,0.000000f},
+   {1.1102e-016f,0.076479f,0.15764f,0.24801f,0.34452f,0.44874f,0.55712f,0.67263f,0.78467f,0.89574f,1.000000f,0.89382f,0.78261f,0.67046f,0.55485f,0.4464f,0.34213f,0.24558f,0.15519f,0.074014f,0.000000f}};
+
+static constexpr const float map_5point1_rf[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0043772f,0.011962f,0.018075f,0.022264f,0.035717f,0.058204f,0.083257f,0.10958f,0.13592f,0.052336f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0013084f,0.011636f,0.027472f,0.049384f,0.070085f,0.089694f,0.10655f,0.12342f,0.12737f,0.15705f,0.18623f,0.16489f,0.10973f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0038919f,0.018492f,0.041753f,0.068513f,0.1006f,0.12983f,0.15652f,0.18313f,0.20135f,0.21775f,0.22851f,0.21738f,0.20108f,0.17363f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0038302f,0.016973f,0.040831f,0.073199f,0.10859f,0.14876f,0.1852f,0.21753f,0.24734f,0.26927f,0.28776f,0.27908f,0.25473f,0.24451f,0.24192f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0013625f,0.010822f,0.031114f,0.061436f,0.10138f,0.14831f,0.19392f,0.2365f,0.27257f,0.30156f,0.32564f,0.33123f,0.32934f,0.31761f,0.29589f,0.31565f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.00041878f,0.017789f,0.0433f,0.07868f,0.12602f,0.18248f,0.23686f,0.2799f,0.30936f,0.33175f,0.35421f,0.37263f,0.38012f,0.37444f,0.35999f,0.39234f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.01238f,0.046242f,0.085813f,0.14312f,0.21247f,0.26716f,0.29661f,0.31385f,0.34119f,0.3727f,0.40155f,0.42428f,0.43128f,0.43048f,0.47409f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0048489f,0.032179f,0.083684f,0.14641f,0.23272f,0.27225f,0.28139f,0.30767f,0.33894f,0.3788f,0.4187f,0.45626f,0.48466f,0.49857f,0.55339f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0029287f,0.015357f,0.040874f,0.082238f,0.14702f,0.23663f,0.25012f,0.27481f,0.30176f,0.33418f,0.37423f,0.42403f,0.4769f,0.52692f,0.56555f,0.63203f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.0019397f,0.021156f,0.051639f,0.089163f,0.13307f,0.17997f,0.22386f,0.24772f,0.27249f,0.30054f,0.33231f,0.37158f,0.42577f,0.49302f,0.56398f,0.63586f,0.70711f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.01438f,0.049473f,0.099723f,0.15348f,0.20226f,0.24098f,0.24557f,0.25321f,0.27695f,0.30342f,0.33559f,0.37551f,0.42626f,0.49895f,0.59175f,0.69745f,0.77384f},
+   {0.000000f,0.000000f,0.000000f,0.0023122f,0.031384f,0.081894f,0.14485f,0.19907f,0.24237f,0.268f,0.27012f,0.27589f,0.28486f,0.31064f,0.34157f,0.38293f,0.43576f,0.51188f,0.62473f,0.75361f,0.83195f},
+   {0.000000f,0.000000f,0.000000f,0.0075151f,0.048878f,0.11169f,0.17871f,0.229f,0.263f,0.28867f,0.29793f,0.30177f,0.3099f,0.32047f,0.3505f,0.39422f,0.45043f,0.53218f,0.66167f,0.80779f,0.87965f},
+   {0.000000f,0.000000f,0.000000f,0.014677f,0.066587f,0.13466f,0.19976f,0.24081f,0.2763f,0.30555f,0.32392f,0.33349f,0.34026f,0.3499f,0.36625f,0.41012f,0.46596f,0.55393f,0.69668f,0.85613f,0.91914f},
+   {0.000000f,0.000000f,0.000000f,0.017689f,0.075976f,0.15229f,0.19715f,0.24172f,0.28192f,0.31654f,0.343f,0.3639f,0.37933f,0.39305f,0.40957f,0.42729f,0.49385f,0.58524f,0.72145f,0.8756f,0.94832f},
+   {0.000000f,0.000000f,0.000000f,0.019339f,0.081415f,0.12939f,0.18521f,0.2329f,0.27908f,0.31978f,0.35395f,0.38326f,0.40917f,0.43346f,0.45546f,0.48528f,0.5172f,0.60794f,0.76272f,0.87113f,0.96987f},
+   {0.000000f,0.000000f,0.000000f,0.016574f,0.049892f,0.094728f,0.15233f,0.20846f,0.26255f,0.31088f,0.35261f,0.39169f,0.42708f,0.46137f,0.49449f,0.53421f,0.57711f,0.6299f,0.74014f,0.85731f,0.9845f},
+   {0.000000f,0.000000f,0.000000f,0.0025743f,0.010122f,0.048381f,0.095227f,0.15539f,0.22053f,0.28038f,0.33191f,0.38291f,0.42927f,0.47532f,0.52386f,0.57553f,0.64546f,0.68239f,0.71318f,0.83679f,0.99377f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0022432f,0.019725f,0.067908f,0.13152f,0.19821f,0.26356f,0.3345f,0.39855f,0.46338f,0.53833f,0.61802f,0.68515f,0.7397f,0.78158f,0.8123f,0.99846f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.14292f,0.27953f,0.40639f,0.52748f,0.63323f,0.72837f,0.81116f,0.88423f,0.94629f,1.000000f}};
+
+static constexpr const float map_5point1_ls[21][21] = {
+   {1.000000f,0.99863f,0.99396f,0.98481f,0.9703f,0.94888f,0.91914f,0.88048f,0.83195f,0.77384f,0.70834f,0.63338f,0.55484f,0.47562f,0.39394f,0.3173f,0.24362f,0.17537f,0.11147f,0.054079f,-7.8496e-017f},
+   {0.99854f,0.94804f,0.94647f,0.94043f,0.92966f,0.91177f,0.87898f,0.82659f,0.76643f,0.70248f,0.63602f,0.56664f,0.49969f,0.43164f,0.36121f,0.29703f,0.24559f,0.20208f,0.16581f,0.13592f,0.000000f},
+   {0.99373f,0.94619f,0.89929f,0.8973f,0.89f,0.84522f,0.80369f,0.75196f,0.69549f,0.64182f,0.59149f,0.53909f,0.48676f,0.43211f,0.3753f,0.31848f,0.25563f,0.21817f,0.18628f,0.11031f,0.000000f},
+   {0.98443f,0.94057f,0.89693f,0.84178f,0.80673f,0.76938f,0.72295f,0.68173f,0.63988f,0.59999f,0.56152f,0.51902f,0.47535f,0.42864f,0.38061f,0.33006f,0.27965f,0.22857f,0.15778f,0.083896f,0.000000f},
+   {0.96987f,0.92924f,0.89008f,0.8064f,0.72353f,0.68753f,0.64727f,0.61961f,0.59007f,0.5611f,0.53236f,0.49762f,0.45999f,0.41905f,0.37687f,0.33185f,0.28785f,0.21842f,0.12802f,0.058746f,0.000000f},
+   {0.94832f,0.91132f,0.84488f,0.76916f,0.6876f,0.60199f,0.57793f,0.55557f,0.53786f,0.52026f,0.49866f,0.47305f,0.4406f,0.40425f,0.36538f,0.32707f,0.2697f,0.20197f,0.12403f,0.03616f,0.000000f},
+   {0.91914f,0.87839f,0.80323f,0.72262f,0.64697f,0.57779f,0.51599f,0.49381f,0.48147f,0.4732f,0.46311f,0.44521f,0.41747f,0.38486f,0.34957f,0.30247f,0.24789f,0.18361f,0.10709f,0.022585f,0.000000f},
+   {0.87965f,0.82586f,0.75136f,0.68116f,0.61943f,0.55563f,0.49394f,0.45149f,0.43778f,0.42773f,0.42381f,0.41464f,0.39077f,0.36007f,0.32202f,0.27305f,0.21805f,0.15706f,0.090176f,0.018356f,0.000000f},
+   {0.83195f,0.76558f,0.69482f,0.63955f,0.58992f,0.53794f,0.48142f,0.43767f,0.40132f,0.39038f,0.38425f,0.38246f,0.35885f,0.3262f,0.2847f,0.23683f,0.18569f,0.13031f,0.070512f,0.012179f,0.000000f},
+   {0.77494f,0.70182f,0.64105f,0.59937f,0.5609f,0.52028f,0.47314f,0.42777f,0.39034f,0.35673f,0.34932f,0.34449f,0.31565f,0.27779f,0.23728f,0.19424f,0.14921f,0.10103f,0.049741f,0.0045097f,0.000000f},
+   {0.70711f,0.63577f,0.59134f,0.56143f,0.53234f,0.49869f,0.46315f,0.42387f,0.38431f,0.34937f,0.3185f,0.28163f,0.2449f,0.21252f,0.18253f,0.14834f,0.1086f,0.068513f,0.027472f,-8.5322e-019f,0.000000f},
+   {0.63338f,0.56555f,0.53856f,0.51865f,0.49722f,0.47263f,0.44507f,0.41451f,0.38241f,0.34452f,0.2816f,0.24145f,0.18988f,0.15379f,0.12638f,0.10174f,0.073541f,0.042039f,0.011806f,0.000000f,0.000000f},
+   {0.55339f,0.49871f,0.48607f,0.47475f,0.45953f,0.44013f,0.41724f,0.39065f,0.35885f,0.31539f,0.24485f,0.1898f,0.16119f,0.11535f,0.083376f,0.061737f,0.041097f,0.018696f,0.0013628f,0.000000f,0.000000f},
+   {0.47409f,0.43048f,0.43138f,0.42817f,0.41859f,0.40381f,0.38442f,0.36003f,0.32583f,0.27748f,0.21245f,0.15351f,0.11527f,0.092466f,0.055926f,0.03134f,0.017152f,0.0039822f,0.000000f,0.000000f,0.000000f},
+   {0.39234f,0.35999f,0.37455f,0.38033f,0.37646f,0.36503f,0.34948f,0.32174f,0.28429f,0.23686f,0.18246f,0.12608f,0.083197f,0.055812f,0.03557f,0.011379f,0.0039191f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.31565f,0.29607f,0.31773f,0.32943f,0.33124f,0.32696f,0.30198f,0.27263f,0.2365f,0.19392f,0.14828f,0.10138f,0.061436f,0.031114f,0.011267f,0.002725f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.24192f,0.24451f,0.25473f,0.27908f,0.28772f,0.26927f,0.24734f,0.21753f,0.18526f,0.14882f,0.10856f,0.073199f,0.040831f,0.01704f,0.0038302f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.17365f,0.20108f,0.21738f,0.22846f,0.21775f,0.20135f,0.18335f,0.15652f,0.12991f,0.1006f,0.068474f,0.041753f,0.018492f,0.0038919f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.10973f,0.16489f,0.18616f,0.15705f,0.12737f,0.12342f,0.10655f,0.089694f,0.070085f,0.049384f,0.027446f,0.011636f,0.0013628f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.052332f,0.13583f,0.10958f,0.083257f,0.058204f,0.035717f,0.022438f,0.018227f,0.011962f,0.0043772f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
+
+static constexpr const float map_5point1_rs[21][21] = {
+   {-7.8496e-017f,0.052336f,0.10973f,0.17365f,0.24192f,0.31565f,0.39394f,0.47409f,0.55484f,0.63338f,0.70587f,0.77384f,0.83195f,0.87965f,0.91914f,0.94832f,0.96987f,0.9845f,0.99377f,0.99854f,1.000000f},
+   {0.000000f,0.13583f,0.16489f,0.20208f,0.24451f,0.29589f,0.35999f,0.43048f,0.49857f,0.56633f,0.63558f,0.70182f,0.76558f,0.82586f,0.87839f,0.91132f,0.92934f,0.94057f,0.94637f,0.94804f,0.99863f},
+   {0.000000f,0.11031f,0.18615f,0.21738f,0.25552f,0.31761f,0.37444f,0.43128f,0.48597f,0.53856f,0.59121f,0.64167f,0.69482f,0.75136f,0.80323f,0.84488f,0.89008f,0.89725f,0.89927f,0.94647f,0.99396f},
+   {0.000000f,0.083257f,0.15778f,0.22845f,0.27908f,0.32934f,0.38061f,0.42817f,0.47475f,0.51865f,0.56131f,0.59998f,0.63948f,0.6818f,0.72306f,0.76916f,0.80688f,0.84174f,0.8973f,0.94077f,0.98473f},
+   {0.000000f,0.058746f,0.12737f,0.2183f,0.28772f,0.33167f,0.37646f,0.41852f,0.45953f,0.49722f,0.53221f,0.56083f,0.58986f,0.61943f,0.64753f,0.6876f,0.72348f,0.80673f,0.89031f,0.92966f,0.9703f},
+   {0.000000f,0.035717f,0.12342f,0.20135f,0.26927f,0.32696f,0.36503f,0.40381f,0.44057f,0.47309f,0.49858f,0.52028f,0.53794f,0.55557f,0.57829f,0.60191f,0.688f,0.76938f,0.84522f,0.91177f,0.94888f},
+   {0.000000f,0.022264f,0.10655f,0.18361f,0.24774f,0.30233f,0.34948f,0.3848f,0.41719f,0.44502f,0.46308f,0.47314f,0.48142f,0.49394f,0.51592f,0.57793f,0.64727f,0.72306f,0.80369f,0.87898f,0.91982f},
+   {0.000000f,0.018075f,0.089694f,0.15698f,0.21753f,0.27257f,0.32174f,0.36002f,0.39065f,0.41451f,0.4238f,0.42773f,0.43804f,0.45143f,0.49424f,0.55557f,0.61961f,0.68173f,0.75196f,0.82659f,0.88048f},
+   {0.000000f,0.011962f,0.070085f,0.12983f,0.1852f,0.2365f,0.28429f,0.32614f,0.35884f,0.38237f,0.38425f,0.39034f,0.40127f,0.43778f,0.48142f,0.53827f,0.59007f,0.63988f,0.69549f,0.76643f,0.83292f},
+   {0.000000f,0.0043772f,0.049741f,0.10103f,0.14876f,0.19392f,0.23686f,0.27743f,0.31539f,0.34452f,0.34932f,0.35669f,0.39034f,0.42773f,0.47315f,0.52061f,0.5611f,0.59999f,0.64182f,0.7028f,0.77494f},
+   {0.000000f,-8.5322e-019f,0.027447f,0.068465f,0.10853f,0.14825f,0.18244f,0.21244f,0.24485f,0.28161f,0.31849f,0.34932f,0.38425f,0.42381f,0.46314f,0.49869f,0.53239f,0.56152f,0.59147f,0.63596f,0.70711f},
+   {0.000000f,0.000000f,0.011636f,0.041753f,0.073199f,0.1017f,0.12603f,0.15351f,0.18976f,0.24145f,0.28164f,0.34451f,0.38246f,0.41464f,0.44521f,0.47305f,0.49762f,0.51919f,0.5393f,0.56664f,0.63338f},
+   {0.000000f,0.000000f,0.0013084f,0.018492f,0.040831f,0.061737f,0.083146f,0.11527f,0.16121f,0.18988f,0.2449f,0.31565f,0.35887f,0.39092f,0.41747f,0.4406f,0.45999f,0.47535f,0.48676f,0.49969f,0.55484f},
+   {0.000000f,0.000000f,0.000000f,0.0038919f,0.016973f,0.031114f,0.056058f,0.092505f,0.11557f,0.15374f,0.21251f,0.27779f,0.3262f,0.36008f,0.38486f,0.40425f,0.41905f,0.42882f,0.43211f,0.43164f,0.47562f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.0038302f,0.011267f,0.0356f,0.055926f,0.083376f,0.12638f,0.18252f,0.23728f,0.2847f,0.32214f,0.34955f,0.36552f,0.37704f,0.38081f,0.3753f,0.36121f,0.39394f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0027341f,0.011405f,0.03134f,0.061737f,0.10174f,0.14834f,0.19436f,0.23696f,0.27305f,0.30247f,0.32704f,0.33185f,0.33006f,0.31848f,0.29703f,0.3173f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0039191f,0.017152f,0.041097f,0.073541f,0.10862f,0.14921f,0.18569f,0.21805f,0.24789f,0.26986f,0.28782f,0.27982f,0.25563f,0.24559f,0.24362f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0039822f,0.018696f,0.042039f,0.068554f,0.10103f,0.13031f,0.15706f,0.1837f,0.20197f,0.21842f,0.22858f,0.21822f,0.20208f,0.17537f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0013628f,0.011806f,0.027511f,0.049741f,0.070512f,0.090176f,0.10709f,0.12403f,0.12802f,0.15778f,0.1863f,0.16581f,0.11147f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-8.5322e-019f,0.0045097f,0.012179f,0.018356f,0.022585f,0.03616f,0.058746f,0.083896f,0.11031f,0.136f,0.054075f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-7.8496e-017f}};
+
+// static constexpr const float map_7point1_ang[] = {-27,0,27,-95,95,-142,142};
+static constexpr const float map_7point1_xsf[] = {-1,0,1,-1,1,-1,1};
+// static constexpr const float map_7point1_ysf[] = {1,1,1,0,0,-1,-1};
+// static constexpr const channel_id map_7point1_id[] = {ci_front_left,ci_front_center,ci_front_right,ci_side_center_left,ci_side_center_right,ci_back_left,ci_back_right,ci_lfe};
+
+static constexpr const float map_7point1_lf[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,9.4126e-019f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.0025743f,0.016552f,0.019339f,0.017689f,0.014677f,0.0075151f,0.0023122f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.010122f,0.049892f,0.081385f,0.075976f,0.066587f,0.048878f,0.031384f,0.01438f,0.0019269f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.0022432f,0.048381f,0.094728f,0.12939f,0.15091f,0.13421f,0.11169f,0.081894f,0.049473f,0.021188f,0.0029287f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.019725f,0.095227f,0.15233f,0.18129f,0.18619f,0.18195f,0.1662f,0.14038f,0.099716f,0.051668f,0.015357f,0.0004627f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.067908f,0.15539f,0.20448f,0.21574f,0.21038f,0.19727f,0.18275f,0.16961f,0.14309f,0.089211f,0.030602f,0.0029125f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.13152f,0.21916f,0.24385f,0.23799f,0.22019f,0.19777f,0.1798f,0.16484f,0.15891f,0.12092f,0.0391f,0.0061765f,0.0028379f,0.00043186f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.19821f,0.26858f,0.26884f,0.24624f,0.21773f,0.19453f,0.1758f,0.16036f,0.14653f,0.13495f,0.052607f,0.038854f,0.030373f,0.015188f,0.0028496f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {8.6596e-017f,0.26351f,0.30441f,0.28405f,0.24723f,0.21577f,0.19296f,0.17452f,0.15823f,0.14384f,0.13114f,0.13492f,0.12086f,0.089089f,0.051572f,0.021112f,0.0019269f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.14292f,0.32999f,0.33317f,0.29065f,0.24843f,0.21902f,0.19594f,0.17746f,0.1625f,0.14962f,0.14386f,0.14651f,0.15886f,0.14285f,0.099312f,0.049149f,0.01419f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.27953f,0.38637f,0.35876f,0.29909f,0.25487f,0.22426f,0.20041f,0.18277f,0.16832f,0.16249f,0.15824f,0.16036f,0.16482f,0.16948f,0.14005f,0.081488f,0.031102f,0.0022352f,0.000000f,0.000000f,0.000000f},
+   {0.40639f,0.44503f,0.38515f,0.31183f,0.26428f,0.23169f,0.20647f,0.18936f,0.18276f,0.17745f,0.17453f,0.1758f,0.17979f,0.18273f,0.16592f,0.11122f,0.048526f,0.0073556f,0.000000f,0.000000f,0.000000f},
+   {0.52748f,0.51574f,0.41678f,0.32546f,0.27415f,0.24175f,0.21641f,0.20646f,0.2004f,0.19593f,0.19298f,0.19453f,0.19777f,0.19716f,0.18189f,0.13374f,0.066173f,0.014462f,0.000000f,0.000000f,0.000000f},
+   {0.63323f,0.58186f,0.4515f,0.34992f,0.2914f,0.25248f,0.24174f,0.23169f,0.22425f,0.219f,0.21579f,0.21773f,0.22013f,0.21018f,0.18585f,0.15082f,0.075526f,0.017441f,0.000000f,0.000000f,0.000000f},
+   {0.72837f,0.62641f,0.51744f,0.37803f,0.31074f,0.29139f,0.27414f,0.26427f,0.25485f,0.24842f,0.24726f,0.24619f,0.23779f,0.2154f,0.18082f,0.12881f,0.081296f,0.019071f,0.000000f,0.000000f,0.000000f},
+   {0.81116f,0.6558f,0.5246f,0.41789f,0.37802f,0.34991f,0.32545f,0.31182f,0.29908f,0.29063f,0.28406f,0.26859f,0.24346f,0.20392f,0.15167f,0.09417f,0.04946f,0.016531f,0.000000f,0.000000f,0.000000f},
+   {0.88423f,0.67127f,0.52691f,0.5245f,0.51721f,0.45136f,0.41661f,0.38495f,0.35851f,0.33283f,0.30436f,0.26801f,0.21844f,0.15464f,0.094607f,0.047925f,0.0098814f,0.0024671f,0.000000f,0.000000f,0.000000f},
+   {0.94622f,0.67633f,0.67099f,0.65523f,0.62554f,0.58081f,0.51465f,0.44406f,0.38544f,0.32902f,0.26339f,0.19725f,0.13069f,0.067274f,0.019339f,0.0021311f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {1.000000f,0.94446f,0.8823f,0.80914f,0.72626f,0.63102f,0.52519f,0.40402f,0.27711f,0.14046f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
+
+static constexpr const float map_7point1_cf[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019269f,0.00062925f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.00059225f,0.001914f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.0055425f,0.0155f,0.025167f,0.017695f,0.0063155f,1.0116e-005f,0.000000f,0.000000f,0.0062031f,0.017508f,0.025125f,0.015305f,0.0054168f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.0056317f,0.024256f,0.044322f,0.061583f,0.065405f,0.041656f,0.014688f,4.0817e-019f,0.014527f,0.041389f,0.065342f,0.061236f,0.044002f,0.024003f,0.005504f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.0019274f,0.02644f,0.05812f,0.08731f,0.11105f,0.11767f,0.10963f,0.061306f,0.017226f,0.061006f,0.10958f,0.11735f,0.11066f,0.086884f,0.057744f,0.026151f,0.0018503f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.016697f,0.059451f,0.104f,0.13974f,0.15702f,0.15962f,0.15223f,0.13355f,0.063692f,0.13353f,0.15211f,0.15945f,0.15675f,0.13934f,0.10352f,0.059047f,0.016456f,0.000000f,0.000000f},
+   {0.000000f,1.2068e-018f,0.038851f,0.096919f,0.15087f,0.17987f,0.18511f,0.17445f,0.15817f,0.14379f,0.13384f,0.14378f,0.15816f,0.17444f,0.18509f,0.17981f,0.15076f,0.096821f,0.038797f,0.000000f,0.000000f},
+   {0.000000f,0.0063777f,0.070344f,0.14288f,0.19068f,0.2049f,0.19453f,0.1758f,0.16036f,0.14645f,0.14681f,0.14646f,0.16036f,0.1758f,0.19453f,0.20473f,0.19031f,0.14227f,0.06984f,0.0061903f,0.000000f},
+   {0.000000f,0.017224f,0.099719f,0.18101f,0.21822f,0.2193f,0.19777f,0.17979f,0.16475f,0.16187f,0.16149f,0.16187f,0.16477f,0.1798f,0.19777f,0.21922f,0.21792f,0.18045f,0.099116f,0.016918f,0.000000f},
+   {0.000000f,0.02596f,0.12753f,0.21148f,0.23925f,0.22819f,0.20284f,0.18535f,0.18085f,0.17814f,0.17812f,0.17814f,0.18084f,0.18536f,0.20284f,0.22818f,0.23901f,0.21095f,0.12685f,0.025562f,0.000000f},
+   {0.000000f,0.03194f,0.15144f,0.23904f,0.2564f,0.23733f,0.21182f,0.20371f,0.19964f,0.19751f,0.19694f,0.1975f,0.19963f,0.20369f,0.21184f,0.23733f,0.25621f,0.23853f,0.15068f,0.031485f,0.000000f},
+   {0.000000f,0.051138f,0.17541f,0.26062f,0.27419f,0.24713f,0.23812f,0.22985f,0.2244f,0.22133f,0.22022f,0.22132f,0.22439f,0.22984f,0.2381f,0.24715f,0.274f,0.26009f,0.17455f,0.050511f,0.000000f},
+   {0.000000f,0.08308f,0.18105f,0.28155f,0.29188f,0.28632f,0.27128f,0.26327f,0.25585f,0.25151f,0.25234f,0.2515f,0.25584f,0.26325f,0.27127f,0.28627f,0.29189f,0.28098f,0.18013f,0.082312f,0.000000f},
+   {0.000000f,0.11865f,0.22314f,0.29977f,0.32517f,0.33282f,0.32312f,0.31164f,0.30095f,0.2946f,0.29542f,0.29459f,0.30094f,0.31163f,0.32308f,0.33259f,0.32473f,0.29967f,0.22211f,0.11774f,0.000000f},
+   {0.000000f,0.15601f,0.26339f,0.30497f,0.3472f,0.38198f,0.39609f,0.39135f,0.3765f,0.36616f,0.36703f,0.36615f,0.37649f,0.39123f,0.39574f,0.3814f,0.34627f,0.30393f,0.26322f,0.15497f,0.000000f},
+   {0.000000f,0.19222f,0.23448f,0.28578f,0.34732f,0.4169f,0.48293f,0.51439f,0.52067f,0.52104f,0.52661f,0.52086f,0.52026f,0.51365f,0.48176f,0.41543f,0.34579f,0.28436f,0.23319f,0.19202f,0.000000f},
+   {1.1102e-016f,0.076479f,0.15764f,0.24801f,0.34452f,0.44874f,0.55712f,0.67263f,0.78467f,0.89574f,1.000000f,0.89382f,0.78261f,0.67046f,0.55485f,0.4464f,0.34213f,0.24558f,0.15519f,0.074014f,0.000000f}};
+
+static constexpr const float map_7point1_rf[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0022352f,0.0073556f,0.014462f,0.017441f,0.019071f,0.016531f,0.0024671f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019269f,0.01419f,0.031102f,0.048526f,0.066173f,0.075526f,0.081297f,0.04946f,0.0098814f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0028496f,0.021112f,0.049149f,0.081488f,0.11122f,0.13374f,0.15081f,0.12881f,0.09417f,0.047925f,0.0021311f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.00043186f,0.015188f,0.051545f,0.099312f,0.14005f,0.16592f,0.1819f,0.18585f,0.18082f,0.15167f,0.094607f,0.019339f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0028379f,0.030373f,0.089057f,0.14285f,0.16948f,0.18273f,0.19716f,0.21018f,0.2154f,0.20392f,0.15464f,0.067274f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0004627f,0.0029125f,0.0061679f,0.038854f,0.12083f,0.15886f,0.16483f,0.17979f,0.19777f,0.22013f,0.23779f,0.24346f,0.21844f,0.13069f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0029287f,0.015357f,0.030602f,0.0391f,0.052555f,0.13491f,0.14652f,0.16036f,0.1758f,0.19453f,0.21773f,0.24619f,0.26859f,0.26801f,0.19725f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.0019397f,0.021156f,0.051639f,0.089163f,0.1209f,0.13493f,0.13114f,0.14385f,0.15824f,0.17453f,0.19297f,0.21578f,0.24725f,0.28402f,0.30431f,0.2633f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.01438f,0.049473f,0.099716f,0.14309f,0.15891f,0.1465f,0.14385f,0.14961f,0.16249f,0.17745f,0.19593f,0.219f,0.24842f,0.29063f,0.33283f,0.32902f,0.14046f},
+   {0.000000f,0.000000f,0.000000f,0.0023122f,0.031384f,0.081894f,0.14038f,0.16961f,0.16482f,0.16036f,0.15824f,0.1625f,0.16831f,0.18276f,0.2004f,0.22425f,0.25485f,0.29908f,0.35851f,0.38544f,0.27711f},
+   {0.000000f,0.000000f,0.000000f,0.0075151f,0.048878f,0.11169f,0.1662f,0.18272f,0.1798f,0.1758f,0.17453f,0.17746f,0.18277f,0.18935f,0.20646f,0.23169f,0.26427f,0.31182f,0.38495f,0.44406f,0.40402f},
+   {0.000000f,0.000000f,0.000000f,0.014677f,0.066587f,0.13421f,0.18194f,0.19727f,0.19777f,0.19453f,0.19297f,0.19594f,0.20041f,0.20647f,0.2164f,0.24174f,0.27414f,0.32545f,0.41661f,0.51465f,0.52519f},
+   {0.000000f,0.000000f,0.000000f,0.017689f,0.075976f,0.15092f,0.18619f,0.21038f,0.22019f,0.21773f,0.21578f,0.21902f,0.22426f,0.23169f,0.24175f,0.25247f,0.29139f,0.34991f,0.45136f,0.58081f,0.63102f},
+   {0.000000f,0.000000f,0.000000f,0.019339f,0.081415f,0.12939f,0.18129f,0.21574f,0.23799f,0.24624f,0.24725f,0.24843f,0.25487f,0.26428f,0.27415f,0.2914f,0.31073f,0.37802f,0.51721f,0.62554f,0.72626f},
+   {0.000000f,0.000000f,0.000000f,0.016574f,0.049892f,0.094728f,0.15233f,0.20448f,0.24385f,0.26884f,0.28405f,0.29065f,0.29909f,0.31183f,0.32546f,0.34992f,0.37803f,0.41787f,0.5245f,0.65523f,0.80914f},
+   {0.000000f,0.000000f,0.000000f,0.0025743f,0.010122f,0.048381f,0.095227f,0.15539f,0.21916f,0.26858f,0.3044f,0.33317f,0.35876f,0.38515f,0.41678f,0.4515f,0.51744f,0.5246f,0.52688f,0.67099f,0.8823f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0022432f,0.019725f,0.067908f,0.13152f,0.19821f,0.26356f,0.32999f,0.38637f,0.44503f,0.51574f,0.58186f,0.62641f,0.6558f,0.67127f,0.6763f,0.94439f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.14292f,0.27953f,0.40639f,0.52748f,0.63323f,0.72837f,0.81116f,0.88423f,0.94629f,1.000000f}};
+
+static constexpr const float map_7point1_lsm[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.076479f,0.1924f,0.15601f,0.11842f,0.08308f,0.051138f,0.03194f,0.02596f,0.017224f,0.006217f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.15701f,0.23422f,0.26354f,0.22314f,0.18089f,0.17541f,0.15144f,0.12753f,0.099719f,0.070344f,0.038959f,0.016585f,0.0019274f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.24799f,0.28578f,0.30478f,0.2999f,0.28155f,0.26062f,0.23875f,0.21148f,0.18101f,0.14288f,0.097017f,0.059361f,0.02644f,0.0055357f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.34452f,0.34709f,0.3472f,0.32503f,0.29199f,0.2741f,0.2564f,0.23925f,0.21822f,0.19068f,0.15101f,0.104f,0.05812f,0.024256f,0.0054585f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.44874f,0.4169f,0.38198f,0.33282f,0.28632f,0.24721f,0.23733f,0.22819f,0.21923f,0.20483f,0.17996f,0.13974f,0.08731f,0.044322f,0.015426f,0.0019269f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.55712f,0.48293f,0.39609f,0.32283f,0.2712f,0.23804f,0.21189f,0.20278f,0.19777f,0.19453f,0.18519f,0.15702f,0.11105f,0.061583f,0.025231f,0.00062925f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.67263f,0.51439f,0.39135f,0.31154f,0.26327f,0.22985f,0.20371f,0.18541f,0.17979f,0.1758f,0.17449f,0.15962f,0.11761f,0.06551f,0.017632f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.78467f,0.52067f,0.3765f,0.30095f,0.25585f,0.2244f,0.19964f,0.1808f,0.16481f,0.16036f,0.15821f,0.15223f,0.10975f,0.041656f,0.0063155f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.89382f,0.52104f,0.36605f,0.29451f,0.25151f,0.22133f,0.19751f,0.17814f,0.16187f,0.14649f,0.14382f,0.13363f,0.061306f,0.014688f,1.0116e-005f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {1.000000f,0.52679f,0.36715f,0.29551f,0.25242f,0.22029f,0.19701f,0.17818f,0.16155f,0.14686f,0.1311f,0.063705f,0.017218f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.89382f,0.52086f,0.36615f,0.29459f,0.2515f,0.22126f,0.1975f,0.17814f,0.16187f,0.14649f,0.14382f,0.13358f,0.061006f,0.014527f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.78261f,0.52026f,0.37649f,0.30094f,0.25584f,0.22432f,0.19963f,0.18084f,0.1648f,0.16036f,0.1582f,0.15211f,0.10961f,0.041389f,0.0062031f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.67046f,0.51365f,0.39123f,0.31163f,0.26325f,0.22984f,0.20363f,0.1854f,0.17974f,0.1758f,0.17448f,0.15945f,0.11735f,0.065362f,0.017508f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.55485f,0.48176f,0.39574f,0.32282f,0.27127f,0.2381f,0.21189f,0.20284f,0.19777f,0.19453f,0.18513f,0.15675f,0.11066f,0.061236f,0.025146f,0.00059225f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.4464f,0.41543f,0.3814f,0.33259f,0.28621f,0.2472f,0.23726f,0.22818f,0.21922f,0.20473f,0.17984f,0.13934f,0.086884f,0.044002f,0.015305f,0.0019269f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.34213f,0.34579f,0.34627f,0.32473f,0.29192f,0.274f,0.25621f,0.23901f,0.21792f,0.19031f,0.1508f,0.10352f,0.057744f,0.024003f,0.0054168f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.24558f,0.28436f,0.30393f,0.29971f,0.28098f,0.26009f,0.23836f,0.21095f,0.18045f,0.14227f,0.096837f,0.059047f,0.026151f,0.005504f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.15519f,0.23319f,0.26327f,0.22211f,0.18013f,0.17455f,0.15068f,0.12685f,0.099116f,0.06984f,0.038815f,0.016456f,0.0018503f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.074009f,0.19209f,0.15497f,0.11774f,0.082312f,0.050511f,0.031485f,0.025562f,0.016918f,0.0061903f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
+
+static constexpr const float map_7point1_rsm[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0061903f,0.016918f,0.025562f,0.031485f,0.050511f,0.082312f,0.11774f,0.15497f,0.19222f,0.074014f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0018503f,0.016456f,0.038851f,0.06984f,0.099116f,0.12685f,0.15068f,0.17455f,0.18013f,0.22211f,0.26337f,0.23319f,0.15519f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.005504f,0.026151f,0.059047f,0.096892f,0.14227f,0.18045f,0.21095f,0.23853f,0.26009f,0.28098f,0.29979f,0.30393f,0.28436f,0.24556f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0054168f,0.024003f,0.057744f,0.10352f,0.15084f,0.19031f,0.21792f,0.23901f,0.25621f,0.274f,0.29198f,0.32473f,0.34627f,0.34579f,0.34213f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019269f,0.015305f,0.044002f,0.086884f,0.13934f,0.17988f,0.20473f,0.21922f,0.22818f,0.23733f,0.24725f,0.28627f,0.33259f,0.3814f,0.41543f,0.4464f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.00059225f,0.025157f,0.061236f,0.11066f,0.15675f,0.18518f,0.19453f,0.19777f,0.20284f,0.21193f,0.2381f,0.27127f,0.32308f,0.39574f,0.48176f,0.55485f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.017508f,0.065396f,0.11735f,0.15945f,0.17454f,0.1758f,0.1798f,0.18544f,0.20369f,0.22984f,0.26325f,0.31163f,0.39123f,0.51365f,0.67046f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0062031f,0.041389f,0.10962f,0.15211f,0.15825f,0.16036f,0.16483f,0.18084f,0.19963f,0.22439f,0.25584f,0.30094f,0.37649f,0.52026f,0.78261f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.014527f,0.061006f,0.13359f,0.14386f,0.14652f,0.16187f,0.17814f,0.1975f,0.22132f,0.2515f,0.29459f,0.36615f,0.52086f,0.89382f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-4.0817e-019f,0.017202f,0.06369f,0.13113f,0.14689f,0.16158f,0.17821f,0.19705f,0.22033f,0.25247f,0.29557f,0.36722f,0.52689f,1.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,1.0116e-005f,0.014688f,0.061306f,0.13361f,0.14385f,0.14651f,0.16187f,0.17814f,0.19751f,0.22133f,0.25151f,0.2946f,0.36616f,0.52104f,0.89574f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0063155f,0.041656f,0.10967f,0.15223f,0.15823f,0.16036f,0.16482f,0.18085f,0.19964f,0.2244f,0.25585f,0.30095f,0.3765f,0.52067f,0.78467f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.017695f,0.065451f,0.11767f,0.15962f,0.17452f,0.1758f,0.17979f,0.18543f,0.20371f,0.22985f,0.26327f,0.31164f,0.39135f,0.51439f,0.67263f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.00062925f,0.0252f,0.061583f,0.11105f,0.15702f,0.18518f,0.19453f,0.19777f,0.20284f,0.21192f,0.23812f,0.27128f,0.32312f,0.39609f,0.48293f,0.55712f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019397f,0.0155f,0.044322f,0.08731f,0.13974f,0.17992f,0.2049f,0.2193f,0.22819f,0.23733f,0.24724f,0.28632f,0.33282f,0.38198f,0.4169f,0.44874f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0055425f,0.024256f,0.05812f,0.104f,0.15089f,0.19068f,0.21822f,0.23925f,0.2564f,0.27419f,0.292f,0.32517f,0.3472f,0.34732f,0.34452f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0056317f,0.02644f,0.059451f,0.09695f,0.14288f,0.18101f,0.21148f,0.23904f,0.26062f,0.28155f,0.29985f,0.30497f,0.28578f,0.24801f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019274f,0.016697f,0.038906f,0.070344f,0.099719f,0.12753f,0.15144f,0.17541f,0.18105f,0.22314f,0.26347f,0.23448f,0.15764f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-1.2068e-018f,0.0063777f,0.017224f,0.02596f,0.03194f,0.051138f,0.08308f,0.11865f,0.15601f,0.19233f,0.076473f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-1.1102e-016f}};
+
+static constexpr const float map_7point1_ls[21][21] = {
+   {1.000000f,0.99863f,0.99396f,0.98481f,0.9703f,0.94888f,0.91914f,0.88048f,0.83195f,0.77384f,0.70834f,0.63338f,0.55484f,0.47562f,0.39394f,0.3173f,0.24362f,0.17537f,0.11147f,0.054079f,-7.8496e-017f},
+   {0.94446f,0.81199f,0.83616f,0.85669f,0.87092f,0.87561f,0.8564f,0.80823f,0.75425f,0.69808f,0.63602f,0.56664f,0.49969f,0.43164f,0.36121f,0.29703f,0.24559f,0.20208f,0.16581f,0.13592f,0.000000f},
+   {0.88271f,0.78057f,0.71294f,0.73952f,0.76209f,0.72118f,0.69661f,0.66179f,0.62498f,0.59208f,0.56394f,0.52736f,0.48539f,0.43211f,0.3753f,0.31848f,0.25563f,0.21817f,0.18628f,0.11031f,0.000000f},
+   {0.80907f,0.73849f,0.68142f,0.62971f,0.60765f,0.58509f,0.55402f,0.53219f,0.51188f,0.49896f,0.49292f,0.47704f,0.45666f,0.42472f,0.38061f,0.33006f,0.27965f,0.22857f,0.15778f,0.083896f,0.000000f},
+   {0.72626f,0.68381f,0.64457f,0.57657f,0.51706f,0.49372f,0.46596f,0.45043f,0.43577f,0.42627f,0.42558f,0.42408f,0.4189f,0.4019f,0.37301f,0.33185f,0.28785f,0.21842f,0.12802f,0.058746f,0.000000f},
+   {0.63102f,0.61653f,0.57478f,0.53382f,0.48514f,0.42718f,0.41011f,0.39421f,0.38285f,0.37543f,0.37141f,0.37424f,0.37886f,0.37291f,0.35447f,0.32571f,0.2697f,0.20197f,0.12403f,0.03616f,0.000000f},
+   {0.52519f,0.53691f,0.52315f,0.49422f,0.4552f,0.40947f,0.36615f,0.35043f,0.34158f,0.3356f,0.33216f,0.33419f,0.33895f,0.34131f,0.33172f,0.30203f,0.24789f,0.18361f,0.10709f,0.022585f,0.000000f},
+   {0.40402f,0.46214f,0.47464f,0.46087f,0.43328f,0.39304f,0.3499f,0.32038f,0.31064f,0.30342f,0.30041f,0.30177f,0.30761f,0.31375f,0.30955f,0.27305f,0.21805f,0.15706f,0.090176f,0.018356f,0.000000f},
+   {0.27711f,0.39741f,0.42859f,0.42667f,0.40895f,0.37927f,0.34025f,0.30982f,0.28478f,0.27695f,0.27237f,0.27482f,0.28125f,0.29675f,0.28023f,0.23683f,0.18569f,0.13031f,0.070512f,0.012179f,0.000000f},
+   {0.14292f,0.33339f,0.38221f,0.39113f,0.38299f,0.36377f,0.33348f,0.30176f,0.27588f,0.25314f,0.24761f,0.25f,0.2723f,0.2674f,0.23727f,0.19424f,0.14921f,0.10103f,0.049741f,0.0045097f,0.000000f},
+   {0.000000f,0.26327f,0.33172f,0.35247f,0.35385f,0.34292f,0.32385f,0.29788f,0.27007f,0.24552f,0.22579f,0.23659f,0.23272f,0.21252f,0.18253f,0.14834f,0.1086f,0.068513f,0.027472f,-8.5322e-019f,0.000000f},
+   {0.000000f,0.19725f,0.27965f,0.31034f,0.31939f,0.31618f,0.30536f,0.28855f,0.26792f,0.24094f,0.1799f,0.14699f,0.14674f,0.14347f,0.12638f,0.10174f,0.073541f,0.042039f,0.011806f,0.000000f,0.000000f},
+   {0.000000f,0.13069f,0.21975f,0.26195f,0.27862f,0.28151f,0.27602f,0.26277f,0.24232f,0.202f,0.13299f,0.082204f,0.083689f,0.086082f,0.07899f,0.061737f,0.041097f,0.018696f,0.0013628f,0.000000f,0.000000f},
+   {0.000000f,0.067274f,0.15464f,0.20782f,0.23238f,0.24129f,0.24043f,0.22893f,0.19873f,0.15312f,0.089072f,0.040759f,0.032293f,0.046248f,0.043546f,0.03134f,0.017152f,0.0039822f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.019339f,0.094607f,0.15196f,0.18465f,0.19667f,0.19966f,0.1783f,0.14444f,0.099312f,0.051555f,0.015195f,0.0048976f,0.012512f,0.017789f,0.01096f,0.0039191f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.0021311f,0.047925f,0.09417f,0.12885f,0.15216f,0.13421f,0.11122f,0.081488f,0.049149f,0.021112f,0.0028496f,0.000000f,0.000000f,0.00044495f,0.0013625f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.0098814f,0.04946f,0.081296f,0.075526f,0.066173f,0.048526f,0.031102f,0.01419f,0.0019269f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.0024671f,0.016531f,0.019071f,0.017441f,0.014677f,0.0073556f,0.0022352f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
+
+static constexpr const float map_7point1_rs[21][21] = {
+   {-7.8496e-017f,0.052336f,0.10973f,0.17365f,0.24192f,0.31565f,0.39394f,0.47409f,0.55484f,0.63338f,0.70587f,0.77384f,0.83195f,0.87965f,0.91914f,0.94832f,0.96987f,0.9845f,0.99377f,0.99854f,1.000000f},
+   {0.000000f,0.13583f,0.16489f,0.20208f,0.24451f,0.29589f,0.35999f,0.43048f,0.49857f,0.56633f,0.63558f,0.69745f,0.75361f,0.80779f,0.85613f,0.8756f,0.87113f,0.85731f,0.83679f,0.81212f,0.94629f},
+   {0.000000f,0.11031f,0.18615f,0.21738f,0.25552f,0.31761f,0.37444f,0.43128f,0.48466f,0.52692f,0.56374f,0.59228f,0.62473f,0.66167f,0.69668f,0.72145f,0.76272f,0.7402f,0.71303f,0.78158f,0.88423f},
+   {0.000000f,0.083257f,0.15778f,0.22845f,0.27908f,0.32934f,0.38061f,0.42428f,0.45626f,0.4769f,0.4928f,0.49938f,0.51188f,0.53264f,0.55439f,0.58524f,0.6082f,0.62975f,0.68239f,0.7397f,0.8111f},
+   {0.000000f,0.058746f,0.12737f,0.2183f,0.28772f,0.33167f,0.37263f,0.40155f,0.4187f,0.42403f,0.42555f,0.42626f,0.43576f,0.45043f,0.46637f,0.49385f,0.51702f,0.57711f,0.64546f,0.68515f,0.72837f},
+   {0.000000f,0.035717f,0.12342f,0.20135f,0.26927f,0.3256f,0.35421f,0.3727f,0.37913f,0.37456f,0.37139f,0.37551f,0.38293f,0.39422f,0.41047f,0.42708f,0.48557f,0.53421f,0.57553f,0.61802f,0.63323f},
+   {0.000000f,0.022264f,0.10655f,0.18361f,0.24774f,0.30191f,0.3317f,0.3415f,0.33894f,0.33418f,0.33214f,0.33559f,0.34157f,0.3505f,0.36607f,0.40957f,0.45546f,0.49461f,0.52386f,0.53833f,0.52748f},
+   {0.000000f,0.018075f,0.089694f,0.15698f,0.21753f,0.27257f,0.30936f,0.31378f,0.30767f,0.30176f,0.30039f,0.30342f,0.31091f,0.32031f,0.3502f,0.39305f,0.43346f,0.46137f,0.47532f,0.46338f,0.40639f},
+   {0.000000f,0.011962f,0.070085f,0.12983f,0.1852f,0.2365f,0.2799f,0.29688f,0.28132f,0.27481f,0.27235f,0.27695f,0.28472f,0.3099f,0.34026f,0.3796f,0.40917f,0.42708f,0.42927f,0.39855f,0.27953f},
+   {0.000000f,0.0043772f,0.049741f,0.10103f,0.14876f,0.19392f,0.23686f,0.26716f,0.27225f,0.25006f,0.24759f,0.25308f,0.27589f,0.30177f,0.33349f,0.36411f,0.38326f,0.39169f,0.38291f,0.3345f,0.14292f},
+   {0.000000f,-8.5322e-019f,0.027447f,0.068465f,0.10853f,0.14825f,0.18244f,0.21244f,0.23269f,0.23658f,0.22577f,0.24545f,0.27f,0.29779f,0.3238f,0.34289f,0.35387f,0.35252f,0.3318f,0.26339f,-8.6596e-017f},
+   {0.000000f,0.000000f,0.011636f,0.041753f,0.073199f,0.1017f,0.12602f,0.14312f,0.14641f,0.14698f,0.17992f,0.24091f,0.268f,0.28867f,0.30555f,0.31654f,0.31978f,0.31088f,0.28038f,0.19821f,0.000000f},
+   {0.000000f,0.000000f,0.0013084f,0.018492f,0.040831f,0.061737f,0.07868f,0.085813f,0.08366f,0.082238f,0.13301f,0.20226f,0.24232f,0.26304f,0.2763f,0.28192f,0.27908f,0.26255f,0.22053f,0.13152f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.0038919f,0.016973f,0.031114f,0.043546f,0.046224f,0.032368f,0.040874f,0.089105f,0.15348f,0.19907f,0.22896f,0.24081f,0.24172f,0.2329f,0.20846f,0.15539f,0.067908f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.0038302f,0.010822f,0.017781f,0.01238f,0.0048489f,0.015357f,0.051582f,0.099723f,0.14485f,0.17871f,0.1997f,0.19715f,0.18521f,0.15233f,0.095227f,0.019725f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0013625f,0.00044495f,0.000000f,0.000000f,0.0029287f,0.021123f,0.049473f,0.081894f,0.11169f,0.13466f,0.15222f,0.12939f,0.094728f,0.048381f,0.0022432f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019269f,0.01438f,0.031384f,0.048878f,0.066587f,0.075976f,0.081342f,0.049892f,0.010122f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0023122f,0.0075151f,0.014677f,0.017689f,0.019339f,0.016553f,0.0025743f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-9.4126e-019f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
+
+// static constexpr const float map_legacy_ang[] = {-27,0,27,-105,105};
+static constexpr const float map_legacy_xsf[] = {-1,0,1,-1,1};
+// static constexpr const float map_legacy_ysf[] = {1,1,1,-1,-1};
+// static constexpr const channel_id map_legacy_id[] = {ci_front_left,ci_front_center,ci_front_right,ci_back_left,ci_back_right,ci_lfe};
+
+static constexpr const float map_legacy_lf[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.052559f,0.04973f,0.046444f,0.042638f,0.038255f,0.03325f,0.027609f,0.021357f,0.014571f,0.0073897f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.11043f,0.10453f,0.097663f,0.089681f,0.080466f,0.069928f,0.058038f,0.044859f,0.030571f,0.015481f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.17379f,0.16464f,0.15393f,0.14141f,0.1269f,0.11024f,0.091419f,0.070553f,0.047977f,0.024228f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.24254f,0.23009f,0.21535f,0.19799f,0.1777f,0.1543f,0.12778f,0.098374f,0.066667f,0.03352f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.31623f,0.30059f,0.28179f,0.25935f,0.23285f,0.20203f,0.16696f,0.1281f,0.086387f,0.043173f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.39392f,0.37542f,0.35271f,0.3251f,0.292f,0.25309f,0.20858f,0.15929f,0.10674f,0.05293f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.4741f,0.45334f,0.42712f,0.39444f,0.35446f,0.30682f,0.25196f,0.19128f,0.12717f,0.062479f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.5547f,0.53253f,0.50345f,0.46602f,0.41906f,0.36214f,0.29609f,0.22322f,0.14704f,0.071497f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.63324f,0.61069f,0.57963f,0.538f,0.48415f,0.41759f,0.33971f,0.25408f,0.1657f,0.079698f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.70711f,0.68525f,0.6532f,0.60812f,0.54772f,0.4714f,0.38139f,0.28284f,0.18257f,0.086874f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.77396f,0.75372f,0.72165f,0.67398f,0.60758f,0.52174f,0.41971f,0.30863f,0.19725f,0.092925f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.83205f,0.81408f,0.78279f,0.73335f,0.66169f,0.56695f,0.45356f,0.33085f,0.20953f,0.097849f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.88047f,0.86507f,0.83508f,0.78458f,0.70851f,0.6058f,0.48218f,0.34921f,0.21943f,0.10172f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.91915f,0.90626f,0.87779f,0.82678f,0.74715f,0.63768f,0.50535f,0.36378f,0.22711f,0.10467f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.94868f,0.93803f,0.91103f,0.85983f,0.77748f,0.66259f,0.52322f,0.37484f,0.23285f,0.10684f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.97014f,0.96128f,0.93553f,0.88433f,0.8f,0.68101f,0.53632f,0.38284f,0.23694f,0.10837f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.98478f,0.97723f,0.95242f,0.9013f,0.81561f,0.69373f,0.54531f,0.38828f,0.2397f,0.10939f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.99388f,0.98718f,0.963f,0.91194f,0.82541f,0.70171f,0.55092f,0.39165f,0.2414f,0.11001f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.99862f,0.99237f,0.96853f,0.91751f,0.83055f,0.70589f,0.55385f,0.39341f,0.24228f,0.11034f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {1.000000f,0.99388f,0.97014f,0.91915f,0.83205f,0.70711f,0.5547f,0.39392f,0.24254f,0.11043f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
+
+static constexpr const float map_legacy_cf[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.0055256f,0.011611f,0.018273f,0.025503f,0.03325f,0.041414f,0.049832f,0.058284f,0.066507f,0.074227f,0.066507f,0.058284f,0.049832f,0.041414f,0.03325f,0.025503f,0.018273f,0.011611f,0.0055256f,0.000000f},
+   {0.000000f,0.011615f,0.024416f,0.038435f,0.053644f,0.069928f,0.087057f,0.10467f,0.12228f,0.13933f,0.15523f,0.13933f,0.12228f,0.10467f,0.087057f,0.069928f,0.053644f,0.038435f,0.024416f,0.011615f,0.000000f},
+   {0.000000f,0.018294f,0.038482f,0.060606f,0.084599f,0.11024f,0.13713f,0.16462f,0.19191f,0.21805f,0.24214f,0.21805f,0.19191f,0.16462f,0.13713f,0.11024f,0.084599f,0.060606f,0.038482f,0.018294f,0.000000f},
+   {0.000000f,0.025565f,0.053838f,0.084853f,0.11847f,0.1543f,0.19166f,0.22954f,0.26667f,0.30168f,0.33333f,0.30168f,0.26667f,0.22954f,0.19166f,0.1543f,0.11847f,0.084853f,0.053838f,0.025565f,0.000000f},
+   {0.000000f,0.033398f,0.070447f,0.11115f,0.15523f,0.20203f,0.25044f,0.29889f,0.34555f,0.38856f,0.4264f,0.38856f,0.34555f,0.29889f,0.25044f,0.20203f,0.15523f,0.11115f,0.070447f,0.033398f,0.000000f},
+   {0.000000f,0.041713f,0.088178f,0.13933f,0.19467f,0.25309f,0.31287f,0.37167f,0.42694f,0.47637f,0.51832f,0.47637f,0.42694f,0.37167f,0.31287f,0.25309f,0.19467f,0.13933f,0.088178f,0.041713f,0.000000f},
+   {0.000000f,0.050371f,0.10678f,0.16904f,0.23631f,0.30682f,0.37793f,0.44633f,0.50867f,0.56231f,0.60584f,0.56231f,0.50867f,0.44633f,0.37793f,0.30682f,0.23631f,0.16904f,0.10678f,0.050371f,0.000000f},
+   {0.000000f,0.05917f,0.12586f,0.19972f,0.27937f,0.36214f,0.44414f,0.52085f,0.58817f,0.64347f,0.68599f,0.64347f,0.58817f,0.52085f,0.44414f,0.36214f,0.27937f,0.19972f,0.12586f,0.05917f,0.000000f},
+   {0.000000f,0.067855f,0.14491f,0.23057f,0.32277f,0.41759f,0.50957f,0.59285f,0.66281f,0.71728f,0.7566f,0.71728f,0.66281f,0.59285f,0.50957f,0.41759f,0.32277f,0.23057f,0.14491f,0.067855f,0.000000f},
+   {0.000000f,0.076139f,0.1633f,0.26062f,0.36515f,0.4714f,0.57208f,0.65997f,0.7303f,0.78187f,0.8165f,0.78187f,0.7303f,0.65997f,0.57208f,0.4714f,0.36515f,0.26062f,0.1633f,0.076139f,0.000000f},
+   {0.000000f,0.083747f,0.18041f,0.28885f,0.40505f,0.52174f,0.62957f,0.72015f,0.78899f,0.83633f,0.86558f,0.83633f,0.78899f,0.72015f,0.62957f,0.52174f,0.40505f,0.28885f,0.18041f,0.083747f,0.000000f},
+   {0.000000f,0.090453f,0.1957f,0.31429f,0.44113f,0.56695f,0.68034f,0.77198f,0.83812f,0.88064f,0.90453f,0.88064f,0.83812f,0.77198f,0.68034f,0.56695f,0.44113f,0.31429f,0.1957f,0.090453f,0.000000f},
+   {0.000000f,0.096118f,0.20877f,0.33625f,0.47234f,0.6058f,0.72328f,0.81483f,0.87771f,0.9155f,0.93455f,0.9155f,0.87771f,0.81483f,0.72328f,0.6058f,0.47234f,0.33625f,0.20877f,0.096118f,0.000000f},
+   {0.000000f,0.1007f,0.21945f,0.35433f,0.4981f,0.63768f,0.75802f,0.84881f,0.90844f,0.94203f,0.95702f,0.94203f,0.90844f,0.84881f,0.75802f,0.63768f,0.4981f,0.35433f,0.21945f,0.1007f,0.000000f},
+   {0.000000f,0.10423f,0.22776f,0.3685f,0.51832f,0.66259f,0.78484f,0.87462f,0.93138f,0.96153f,0.97333f,0.96153f,0.93138f,0.87462f,0.78484f,0.66259f,0.51832f,0.3685f,0.22776f,0.10423f,0.000000f},
+   {0.000000f,0.10681f,0.23388f,0.379f,0.53333f,0.68101f,0.80448f,0.89329f,0.94776f,0.97529f,0.98473f,0.97529f,0.94776f,0.89329f,0.80448f,0.68101f,0.53333f,0.379f,0.23388f,0.10681f,0.000000f},
+   {0.000000f,0.10858f,0.23811f,0.38627f,0.54374f,0.69373f,0.81797f,0.90598f,0.95879f,0.98449f,0.9923f,0.98449f,0.95879f,0.90598f,0.81797f,0.69373f,0.54374f,0.38627f,0.23811f,0.10858f,0.000000f},
+   {0.000000f,0.10969f,0.24075f,0.39083f,0.55028f,0.70171f,0.82638f,0.91386f,0.9656f,0.99013f,0.99693f,0.99013f,0.9656f,0.91386f,0.82638f,0.70171f,0.55028f,0.39083f,0.24075f,0.10969f,0.000000f},
+   {0.000000f,0.11026f,0.24213f,0.39322f,0.5537f,0.70589f,0.83077f,0.91795f,0.96912f,0.99304f,0.99931f,0.99304f,0.96912f,0.91795f,0.83077f,0.70589f,0.5537f,0.39322f,0.24213f,0.11026f,0.000000f},
+   {0.000000f,0.11043f,0.24254f,0.39392f,0.5547f,0.70711f,0.83205f,0.91915f,0.97014f,0.99388f,1.000000f,0.99388f,0.97014f,0.91915f,0.83205f,0.70711f,0.5547f,0.39392f,0.24254f,0.11043f,0.000000f}};
+
+static constexpr const float map_legacy_rf[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0073897f,0.014571f,0.021357f,0.027609f,0.03325f,0.038255f,0.042638f,0.046444f,0.04973f,0.052559f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.015481f,0.030571f,0.044859f,0.058038f,0.069928f,0.080466f,0.089681f,0.097663f,0.10453f,0.11043f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.024228f,0.047977f,0.070553f,0.091419f,0.11024f,0.1269f,0.14141f,0.15393f,0.16464f,0.17379f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.03352f,0.066667f,0.098374f,0.12778f,0.1543f,0.1777f,0.19799f,0.21535f,0.23009f,0.24254f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.043173f,0.086387f,0.1281f,0.16696f,0.20203f,0.23285f,0.25935f,0.28179f,0.30059f,0.31623f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.05293f,0.10674f,0.15929f,0.20858f,0.25309f,0.292f,0.3251f,0.35271f,0.37542f,0.39392f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.062479f,0.12717f,0.19128f,0.25196f,0.30682f,0.35446f,0.39444f,0.42712f,0.45334f,0.4741f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.071497f,0.14704f,0.22322f,0.29609f,0.36214f,0.41906f,0.46602f,0.50345f,0.53253f,0.5547f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.079698f,0.1657f,0.25408f,0.33971f,0.41759f,0.48415f,0.538f,0.57963f,0.61069f,0.63324f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.086874f,0.18257f,0.28284f,0.38139f,0.4714f,0.54772f,0.60812f,0.6532f,0.68525f,0.70711f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.092925f,0.19725f,0.30863f,0.41971f,0.52174f,0.60758f,0.67398f,0.72165f,0.75372f,0.77396f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.097849f,0.20953f,0.33085f,0.45356f,0.56695f,0.66169f,0.73335f,0.78279f,0.81408f,0.83205f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.10172f,0.21943f,0.34921f,0.48218f,0.6058f,0.70851f,0.78458f,0.83508f,0.86507f,0.88047f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.10467f,0.22711f,0.36378f,0.50535f,0.63768f,0.74715f,0.82678f,0.87779f,0.90626f,0.91915f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.10684f,0.23285f,0.37484f,0.52322f,0.66259f,0.77748f,0.85983f,0.91103f,0.93803f,0.94868f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.10837f,0.23694f,0.38284f,0.53632f,0.68101f,0.8f,0.88433f,0.93553f,0.96128f,0.97014f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.10939f,0.2397f,0.38828f,0.54531f,0.69373f,0.81561f,0.9013f,0.95242f,0.97723f,0.98478f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.11001f,0.2414f,0.39165f,0.55092f,0.70171f,0.82541f,0.91194f,0.963f,0.98718f,0.99388f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.11034f,0.24228f,0.39341f,0.55385f,0.70589f,0.83055f,0.91751f,0.96853f,0.99237f,0.99862f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.11043f,0.24254f,0.39392f,0.5547f,0.70711f,0.83205f,0.91915f,0.97014f,0.99388f,1.000000f}};
+
+static constexpr const float map_legacy_ls[21][21] = {
+   {1.000000f,0.99862f,0.99388f,0.98478f,0.97014f,0.94868f,0.91915f,0.88047f,0.83205f,0.77396f,0.70711f,0.63324f,0.5547f,0.4741f,0.39392f,0.31623f,0.24254f,0.17379f,0.11043f,0.052559f,0.000000f},
+   {0.99862f,0.99737f,0.99274f,0.98372f,0.96912f,0.94763f,0.91801f,0.87918f,0.83055f,0.77222f,0.70516f,0.63182f,0.5537f,0.4734f,0.39343f,0.31588f,0.24228f,0.1736f,0.1103f,0.052493f,0.000000f},
+   {0.99388f,0.99308f,0.98883f,0.98008f,0.9656f,0.94403f,0.9141f,0.87474f,0.82541f,0.76631f,0.69854f,0.62698f,0.55028f,0.47102f,0.39176f,0.31468f,0.2414f,0.17296f,0.10987f,0.052267f,0.000000f},
+   {0.98478f,0.98482f,0.98129f,0.97306f,0.95879f,0.93708f,0.90658f,0.86623f,0.81561f,0.7551f,0.68606f,0.61781f,0.54374f,0.46643f,0.38853f,0.31236f,0.2397f,0.17172f,0.10903f,0.051833f,0.000000f},
+   {0.97014f,0.97149f,0.96909f,0.96167f,0.94776f,0.92582f,0.89443f,0.85257f,0.8f,0.73744f,0.66667f,0.60336f,0.53333f,0.45908f,0.38333f,0.30861f,0.23694f,0.16971f,0.10768f,0.051131f,0.000000f},
+   {0.94868f,0.95185f,0.95103f,0.94477f,0.93138f,0.90914f,0.87652f,0.83262f,0.77748f,0.71236f,0.6396f,0.58284f,0.51832f,0.44833f,0.37565f,0.30305f,0.23285f,0.16672f,0.10567f,0.050098f,0.000000f},
+   {0.91915f,0.92464f,0.92587f,0.92113f,0.90844f,0.88583f,0.85169f,0.80528f,0.74715f,0.67926f,0.60471f,0.55576f,0.4981f,0.43361f,0.36501f,0.29528f,0.22711f,0.16255f,0.10287f,0.048665f,0.000000f},
+   {0.88047f,0.88868f,0.89238f,0.8895f,0.87771f,0.85472f,0.81886f,0.76969f,0.70851f,0.63818f,0.56257f,0.52214f,0.47234f,0.41445f,0.35094f,0.28491f,0.21943f,0.15697f,0.099153f,0.046773f,0.000000f},
+   {0.83205f,0.84317f,0.84958f,0.84882f,0.83812f,0.81482f,0.77724f,0.72546f,0.66169f,0.58985f,0.5145f,0.4826f,0.44113f,0.39063f,0.3331f,0.27161f,0.20953f,0.14979f,0.094398f,0.044378f,0.000000f},
+   {0.77396f,0.78787f,0.79699f,0.79846f,0.78899f,0.76558f,0.72661f,0.67284f,0.60758f,0.53574f,0.46236f,0.43834f,0.40505f,0.3623f,0.3114f,0.25519f,0.19725f,0.1409f,0.088554f,0.041467f,0.000000f},
+   {0.70711f,0.72332f,0.73485f,0.73843f,0.7303f,0.70711f,0.66742f,0.61283f,0.54772f,0.47781f,0.40825f,0.39094f,0.36515f,0.32998f,0.28604f,0.2357f,0.18257f,0.13031f,0.08165f,0.038069f,0.000000f},
+   {0.63324f,0.65094f,0.66425f,0.6696f,0.66281f,0.64032f,0.60095f,0.54712f,0.48415f,0.41816f,0.3541f,0.34213f,0.32277f,0.2946f,0.25755f,0.21344f,0.1657f,0.11816f,0.073805f,0.03426f,0.000000f},
+   {0.5547f,0.57287f,0.5871f,0.59367f,0.58817f,0.56695f,0.52915f,0.47789f,0.41906f,0.35878f,0.30151f,0.29355f,0.27937f,0.25733f,0.22678f,0.18898f,0.14704f,0.10476f,0.065233f,0.030151f,0.000000f},
+   {0.4741f,0.49168f,0.50587f,0.513f,0.50867f,0.4893f,0.45437f,0.40741f,0.35446f,0.30126f,0.25161f,0.24648f,0.23631f,0.21938f,0.19473f,0.1631f,0.12717f,0.090529f,0.056207f,0.025878f,0.000000f},
+   {0.39392f,0.40998f,0.42322f,0.43026f,0.42694f,0.40994f,0.37901f,0.33779f,0.292f,0.24672f,0.20508f,0.20186f,0.19467f,0.18189f,0.16243f,0.13665f,0.10674f,0.075928f,0.047024f,0.021578f,0.000000f},
+   {0.31623f,0.33005f,0.34164f,0.34803f,0.34555f,0.33129f,0.30521f,0.27072f,0.23285f,0.19587f,0.16222f,0.16026f,0.15523f,0.14577f,0.13081f,0.11043f,0.086387f,0.061417f,0.037959f,0.017371f,0.000000f},
+   {0.24254f,0.25367f,0.26312f,0.26846f,0.26667f,0.25538f,0.23464f,0.20737f,0.1777f,0.149f,0.12309f,0.12191f,0.11847f,0.11166f,0.10056f,0.085126f,0.066667f,0.047375f,0.029235f,0.013351f,0.000000f},
+   {0.17379f,0.18203f,0.18908f,0.19313f,0.19191f,0.18364f,0.1684f,0.14846f,0.1269f,0.10617f,0.087556f,0.086867f,0.084599f,0.07994f,0.072173f,0.061212f,0.047977f,0.034083f,0.021009f,0.0095807f,0.000000f},
+   {0.11043f,0.11578f,0.12038f,0.12304f,0.12228f,0.11695f,0.10712f,0.094287f,0.080466f,0.067231f,0.055385f,0.055007f,0.053644f,0.05077f,0.04591f,0.038984f,0.030571f,0.021713f,0.013375f,0.0060937f,0.000000f},
+   {0.052559f,0.055132f,0.057347f,0.058638f,0.058284f,0.055728f,0.051012f,0.044862f,0.038255f,0.03194f,0.026298f,0.026133f,0.025503f,0.024157f,0.021862f,0.018576f,0.014571f,0.010348f,0.0063719f,0.0029017f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
+
+static constexpr const float map_legacy_rs[21][21] = {
+   {0.000000f,0.052559f,0.11043f,0.17379f,0.24254f,0.31623f,0.39392f,0.4741f,0.5547f,0.63324f,0.70711f,0.77396f,0.83205f,0.88047f,0.91915f,0.94868f,0.97014f,0.98478f,0.99388f,0.99862f,1.000000f},
+   {0.000000f,0.052493f,0.1103f,0.1736f,0.24228f,0.31588f,0.39343f,0.4734f,0.5537f,0.63182f,0.70516f,0.77222f,0.83055f,0.87918f,0.91801f,0.94763f,0.96912f,0.98372f,0.99274f,0.99737f,0.99862f},
+   {0.000000f,0.052267f,0.10987f,0.17296f,0.2414f,0.31468f,0.39176f,0.47102f,0.55028f,0.62698f,0.69854f,0.76631f,0.82541f,0.87474f,0.9141f,0.94403f,0.9656f,0.98008f,0.98883f,0.99308f,0.99388f},
+   {0.000000f,0.051833f,0.10903f,0.17172f,0.2397f,0.31236f,0.38853f,0.46643f,0.54374f,0.61781f,0.68606f,0.7551f,0.81561f,0.86623f,0.90658f,0.93708f,0.95879f,0.97306f,0.98129f,0.98482f,0.98478f},
+   {0.000000f,0.051131f,0.10768f,0.16971f,0.23694f,0.30861f,0.38333f,0.45908f,0.53333f,0.60336f,0.66667f,0.73744f,0.8f,0.85257f,0.89443f,0.92582f,0.94776f,0.96167f,0.96909f,0.97149f,0.97014f},
+   {0.000000f,0.050098f,0.10567f,0.16672f,0.23285f,0.30305f,0.37565f,0.44833f,0.51832f,0.58284f,0.6396f,0.71236f,0.77748f,0.83262f,0.87652f,0.90914f,0.93138f,0.94477f,0.95103f,0.95185f,0.94868f},
+   {0.000000f,0.048665f,0.10287f,0.16255f,0.22711f,0.29528f,0.36501f,0.43361f,0.4981f,0.55576f,0.60471f,0.67926f,0.74715f,0.80528f,0.85169f,0.88583f,0.90844f,0.92113f,0.92587f,0.92464f,0.91915f},
+   {0.000000f,0.046773f,0.099153f,0.15697f,0.21943f,0.28491f,0.35094f,0.41445f,0.47234f,0.52214f,0.56257f,0.63818f,0.70851f,0.76969f,0.81886f,0.85472f,0.87771f,0.8895f,0.89238f,0.88868f,0.88047f},
+   {0.000000f,0.044378f,0.094398f,0.14979f,0.20953f,0.27161f,0.3331f,0.39063f,0.44113f,0.4826f,0.5145f,0.58985f,0.66169f,0.72546f,0.77724f,0.81482f,0.83812f,0.84882f,0.84958f,0.84317f,0.83205f},
+   {0.000000f,0.041467f,0.088554f,0.1409f,0.19725f,0.25519f,0.3114f,0.3623f,0.40505f,0.43834f,0.46236f,0.53574f,0.60758f,0.67284f,0.72661f,0.76558f,0.78899f,0.79846f,0.79699f,0.78787f,0.77396f},
+   {0.000000f,0.038069f,0.08165f,0.13031f,0.18257f,0.2357f,0.28604f,0.32998f,0.36515f,0.39094f,0.40825f,0.47781f,0.54772f,0.61283f,0.66742f,0.70711f,0.7303f,0.73843f,0.73485f,0.72332f,0.70711f},
+   {0.000000f,0.03426f,0.073805f,0.11816f,0.1657f,0.21344f,0.25755f,0.2946f,0.32277f,0.34213f,0.3541f,0.41816f,0.48415f,0.54712f,0.60095f,0.64032f,0.66281f,0.6696f,0.66425f,0.65094f,0.63324f},
+   {0.000000f,0.030151f,0.065233f,0.10476f,0.14704f,0.18898f,0.22678f,0.25733f,0.27937f,0.29355f,0.30151f,0.35878f,0.41906f,0.47789f,0.52915f,0.56695f,0.58817f,0.59367f,0.5871f,0.57287f,0.5547f},
+   {0.000000f,0.025878f,0.056207f,0.090529f,0.12717f,0.1631f,0.19473f,0.21938f,0.23631f,0.24648f,0.25161f,0.30126f,0.35446f,0.40741f,0.45437f,0.4893f,0.50867f,0.513f,0.50587f,0.49168f,0.4741f},
+   {0.000000f,0.021578f,0.047024f,0.075928f,0.10674f,0.13665f,0.16243f,0.18189f,0.19467f,0.20186f,0.20508f,0.24672f,0.292f,0.33779f,0.37901f,0.40994f,0.42694f,0.43026f,0.42322f,0.40998f,0.39392f},
+   {0.000000f,0.017371f,0.037959f,0.061417f,0.086387f,0.11043f,0.13081f,0.14577f,0.15523f,0.16026f,0.16222f,0.19587f,0.23285f,0.27072f,0.30521f,0.33129f,0.34555f,0.34803f,0.34164f,0.33005f,0.31623f},
+   {0.000000f,0.013351f,0.029235f,0.047375f,0.066667f,0.085126f,0.10056f,0.11166f,0.11847f,0.12191f,0.12309f,0.149f,0.1777f,0.20737f,0.23464f,0.25538f,0.26667f,0.26846f,0.26312f,0.25367f,0.24254f},
+   {0.000000f,0.0095807f,0.021009f,0.034083f,0.047977f,0.061212f,0.072173f,0.07994f,0.084599f,0.086867f,0.087556f,0.10617f,0.1269f,0.14846f,0.1684f,0.18364f,0.19191f,0.19313f,0.18908f,0.18203f,0.17379f},
+   {0.000000f,0.0060937f,0.013375f,0.021713f,0.030571f,0.038984f,0.04591f,0.05077f,0.053644f,0.055007f,0.055385f,0.067231f,0.080466f,0.094287f,0.10712f,0.11695f,0.12228f,0.12304f,0.12038f,0.11578f,0.11043f},
+   {0.000000f,0.0029017f,0.0063719f,0.010348f,0.014571f,0.018576f,0.021862f,0.024157f,0.025503f,0.026133f,0.026298f,0.03194f,0.038255f,0.044862f,0.051012f,0.055728f,0.058284f,0.058638f,0.057347f,0.055132f,0.052559f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
+
+static constexpr const float map_lfe_lfe[21][21] = {
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
+   {0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
+// clang-format on
+
+static constexpr const FreeSurroundDecoder::LUT lut_stereo[] = {
+  map_stereo_lf,
+  map_stereo_rf,
+  map_lfe_lfe,
+};
+static constexpr const FreeSurroundDecoder::LUT lut_4point1[] = {
+  map_4point1_lf, map_4point1_rf, map_4point1_ls, map_4point1_rs, map_lfe_lfe,
+};
+static constexpr const FreeSurroundDecoder::LUT lut_5point1[] = {
+  map_5point1_lf, map_5point1_cf, map_5point1_rf, map_5point1_ls, map_5point1_rs, map_lfe_lfe,
+};
+static constexpr const FreeSurroundDecoder::LUT lut_7point1[] = {
+  map_7point1_lf,  map_7point1_cf, map_7point1_rf, map_7point1_lsm,
+  map_7point1_rsm, map_7point1_ls, map_7point1_rs, map_lfe_lfe,
+};
+static constexpr const FreeSurroundDecoder::LUT lut_legacy[] = {
+  map_legacy_lf, map_legacy_cf, map_legacy_rf, map_legacy_ls, map_legacy_rs, map_lfe_lfe,
+};
+
+constinit const std::array<FreeSurroundDecoder::ChannelMap,
+                           static_cast<size_t>(FreeSurroundDecoder::ChannelSetup::MaxCount)>
+  FreeSurroundDecoder::s_channel_maps = {{
+    {lut_stereo, map_stereo_xsf},   // Stereo
+    {lut_4point1, map_4point1_xsf}, // Quadraphonic
+    {lut_5point1, map_5point1_xsf}, // Surround51
+    {lut_7point1, map_7point1_xsf}, // Surround71
+    {lut_legacy, map_legacy_xsf},   // Legacy
+  }};

dep/freesurround/src/freesurround_decoder.cpp

@@ -0,0 +1,319 @@
+// SPDX-FileCopyrightText: 2007-2010 Christian Kothe, 2024 Connor McLaughlin <stenzek@gmail.com>
+// SPDX-License-Identifier: GPL-2.0+
+
+#include "freesurround_decoder.h"
+
+#include <algorithm>
+#include <cmath>
+
+static constexpr float pi = 3.141592654f;
+static constexpr float epsilon = 0.000001f;
+
+template<typename T>
+static inline T sqr(T x)
+{
+  return x * x;
+}
+
+template<typename T>
+static inline T clamp1(T x)
+{
+  return std::clamp(x, static_cast<T>(-1), static_cast<T>(1));
+}
+
+template<typename T>
+static inline T sign(T x)
+{
+  return x < static_cast<T>(0) ? static_cast<T>(-1) : (x > static_cast<T>(0) ? static_cast<T>(1) : static_cast<T>(0));
+}
+
+static inline double amplitude(const std::complex<double>& x)
+{
+  return sqrt(sqr(x.real()) + sqr(x.imag()));
+}
+static inline double phase(const std::complex<double>& x)
+{
+  return atan2(x.imag(), x.real());
+}
+static inline std::complex<double> polar(double a, double p)
+{
+  return std::complex<double>(a * std::cos(p), a * std::sin(p));
+}
+
+// get the distance of the soundfield edge, along a given angle
+static inline double edgedistance(double a)
+{
+  return std::min(std::sqrt(1 + sqr(std::tan(a))), std::sqrt(1 + sqr(1 / std::tan(a))));
+}
+
+static void transform_decode(double a, double p, double& x, double& y);
+
+// apply a circular_wrap transformation to some position
+static void transform_circular_wrap(double& x, double& y, double refangle);
+
+// apply a focus transformation to some position
+static void transform_focus(double& x, double& y, double focus);
+
+// get the index (and fractional offset!) in a piecewise-linear channel allocation grid
+int FreeSurroundDecoder::MapToGrid(double& x)
+{
+  const double gp = ((x + 1) * 0.5) * (grid_res - 1);
+  const double i = std::min(static_cast<double>(grid_res - 2), std::floor(gp));
+  x = gp - i;
+  return static_cast<int>(i);
+}
+
+FreeSurroundDecoder::FreeSurroundDecoder(ChannelSetup setup, unsigned blocksize)
+  : cmap(s_channel_maps[static_cast<size_t>(setup)])
+{
+  N = blocksize;
+  C = static_cast<unsigned>(cmap.luts.size());
+  wnd.resize(blocksize);
+  lt.resize(blocksize);
+  rt.resize(blocksize);
+  dst.resize(blocksize);
+  lf.resize(blocksize / 2 + 1);
+  rf.resize(blocksize / 2 + 1);
+
+  forward = kiss_fftr_alloc(blocksize, 0, 0, 0);
+  inverse = kiss_fftr_alloc(blocksize, 1, 0, 0);
+
+  // allocate per-channel buffers
+  inbuf.resize(3 * N);
+  outbuf.resize((N + N / 2) * C);
+  signal.resize(C, std::vector<cplx>(N));
+
+  // init the window function
+  for (unsigned k = 0; k < N; k++)
+    wnd[k] = sqrt(0.5 * (1 - cos(2 * pi * k / N)) / N);
+
+  // set default parameters
+  SetCircularWrap(90);
+  SetShift(0);
+  SetDepth(1);
+  SetFocus(0);
+  SetCenterImage(1);
+  SetFrontSeparation(1);
+  SetRearSeparation(1);
+  SetLowCutoff(40.0f / 22050.0f);
+  SetHighCutoff(90.0f / 22050.0f);
+  SetBassRedirection(false);
+}
+
+FreeSurroundDecoder::~FreeSurroundDecoder()
+{
+  kiss_fftr_free(forward);
+  kiss_fftr_free(inverse);
+}
+
+// decode a stereo chunk, produces a multichannel chunk of the same size (lagged)
+float* FreeSurroundDecoder::Decode(float* input)
+{
+  // append incoming data to the end of the input buffer
+  memcpy(&inbuf[N], &input[0], 8 * N);
+  // process first and second half, overlapped
+  BufferedDecode(&inbuf[0]);
+  BufferedDecode(&inbuf[N]);
+  // shift last half of the input to the beginning (for overlapping with a future block)
+  memcpy(&inbuf[0], &inbuf[2 * N], 4 * N);
+  buffer_empty = false;
+  return &outbuf[0];
+}
+
+// flush the internal buffers
+void FreeSurroundDecoder::Flush()
+{
+  memset(&outbuf[0], 0, outbuf.size() * 4);
+  memset(&inbuf[0], 0, inbuf.size() * 4);
+  buffer_empty = true;
+}
+
+// number of samples currently held in the buffer
+unsigned FreeSurroundDecoder::GetSamplesBuffered()
+{
+  return buffer_empty ? 0 : N / 2;
+}
+
+// set soundfield & rendering parameters
+void FreeSurroundDecoder::SetCircularWrap(float v)
+{
+  circular_wrap = v;
+}
+void FreeSurroundDecoder::SetShift(float v)
+{
+  shift = v;
+}
+void FreeSurroundDecoder::SetDepth(float v)
+{
+  depth = v;
+}
+void FreeSurroundDecoder::SetFocus(float v)
+{
+  focus = v;
+}
+void FreeSurroundDecoder::SetCenterImage(float v)
+{
+  center_image = v;
+}
+void FreeSurroundDecoder::SetFrontSeparation(float v)
+{
+  front_separation = v;
+}
+void FreeSurroundDecoder::SetRearSeparation(float v)
+{
+  rear_separation = v;
+}
+void FreeSurroundDecoder::SetLowCutoff(float v)
+{
+  lo_cut = v * (N / 2);
+}
+void FreeSurroundDecoder::SetHighCutoff(float v)
+{
+  hi_cut = v * (N / 2);
+}
+void FreeSurroundDecoder::SetBassRedirection(bool v)
+{
+  use_lfe = v;
+}
+
+// decode a block of data and overlap-add it into outbuf
+void FreeSurroundDecoder::BufferedDecode(float* input)
+{
+  // demultiplex and apply window function
+  for (unsigned k = 0; k < N; k++)
+  {
+    lt[k] = wnd[k] * input[k * 2 + 0];
+    rt[k] = wnd[k] * input[k * 2 + 1];
+  }
+
+  // map into spectral domain
+  kiss_fftr(forward, &lt[0], (kiss_fft_cpx*)&lf[0]);
+  kiss_fftr(forward, &rt[0], (kiss_fft_cpx*)&rf[0]);
+
+  // compute multichannel output signal in the spectral domain
+  for (unsigned f = 1; f < N / 2; f++)
+  {
+    // get Lt/Rt amplitudes & phases
+    double ampL = amplitude(lf[f]), ampR = amplitude(rf[f]);
+    double phaseL = phase(lf[f]), phaseR = phase(rf[f]);
+    // calculate the amplitude & phase differences
+    double ampDiff = clamp1((ampL + ampR < epsilon) ? 0 : (ampR - ampL) / (ampR + ampL));
+    double phaseDiff = abs(phaseL - phaseR);
+    if (phaseDiff > pi)
+      phaseDiff = 2 * pi - phaseDiff;
+
+    // decode into x/y soundfield position
+    double x, y;
+    transform_decode(ampDiff, phaseDiff, x, y);
+    // add wrap control
+    transform_circular_wrap(x, y, circular_wrap);
+    // add shift control
+    y = clamp1(y - shift);
+    // add depth control
+    y = clamp1(1 - (1 - y) * depth);
+    // add focus control
+    transform_focus(x, y, focus);
+    // add crossfeed control
+    x = clamp1(x * (front_separation * (1 + y) / 2 + rear_separation * (1 - y) / 2));
+
+    // get total signal amplitude
+    double amp_total = sqrt(ampL * ampL + ampR * ampR);
+    // and total L/C/R signal phases
+    double phase_of[] = {phaseL, atan2(lf[f].imag() + rf[f].imag(), lf[f].real() + rf[f].real()), phaseR};
+    // compute 2d channel map indexes p/q and update x/y to fractional offsets in the map grid
+    int p = MapToGrid(x), q = MapToGrid(y);
+    // map position to channel volumes
+    for (unsigned c = 0; c < C - 1; c++)
+    {
+      // look up channel map at respective position (with bilinear interpolation) and build the signal
+      const auto& a = cmap.luts[c];
+      signal[c][f] = polar(amp_total * ((1 - x) * (1 - y) * a[q][p] + x * (1 - y) * a[q][p + 1] +
+                                        (1 - x) * y * a[q + 1][p] + x * y * a[q + 1][p + 1]),
+                           phase_of[1 + (int)sign(cmap.xsf[c])]);
+    }
+
+    // optionally redirect bass
+    if (use_lfe && f < hi_cut)
+    {
+      // level of LFE channel according to normalized frequency
+      double lfe_level = f < lo_cut ? 1 : 0.5 * (1 + cos(pi * (f - lo_cut) / (hi_cut - lo_cut)));
+      // assign LFE channel
+      signal[C - 1][f] = lfe_level * polar(amp_total, phase_of[1]);
+      // subtract the signal from the other channels
+      for (unsigned c = 0; c < C - 1; c++)
+        signal[c][f] *= (1 - lfe_level);
+    }
+  }
+
+  // shift the last 2/3 to the first 2/3 of the output buffer
+  memmove(&outbuf[0], &outbuf[C * N / 2], N * C * 4);
+  // and clear the rest
+  memset(&outbuf[C * N], 0, C * 4 * N / 2);
+  // backtransform each channel and overlap-add
+  for (unsigned c = 0; c < C; c++)
+  {
+    // back-transform into time domain
+    kiss_fftri(inverse, (kiss_fft_cpx*)&signal[c][0], &dst[0]);
+    // add the result to the last 2/3 of the output buffer, windowed (and remultiplex)
+    for (unsigned k = 0; k < N; k++)
+      outbuf[C * (k + N / 2) + c] = static_cast<float>(outbuf[C * (k + N / 2) + c] + (wnd[k] * dst[k]));
+  }
+}
+
+// transform amp/phase difference space into x/y soundfield space
+void transform_decode(double a, double p, double& x, double& y)
+{
+  x = clamp1(1.0047 * a + 0.46804 * a * p * p * p - 0.2042 * a * p * p * p * p +
+             0.0080586 * a * p * p * p * p * p * p * p - 0.0001526 * a * p * p * p * p * p * p * p * p * p * p -
+             0.073512 * a * a * a * p - 0.2499 * a * a * a * p * p * p * p +
+             0.016932 * a * a * a * p * p * p * p * p * p * p -
+             0.00027707 * a * a * a * p * p * p * p * p * p * p * p * p * p +
+             0.048105 * a * a * a * a * a * p * p * p * p * p * p * p -
+             0.0065947 * a * a * a * a * a * p * p * p * p * p * p * p * p * p * p +
+             0.0016006 * a * a * a * a * a * p * p * p * p * p * p * p * p * p * p * p -
+             0.0071132 * a * a * a * a * a * a * a * p * p * p * p * p * p * p * p * p +
+             0.0022336 * a * a * a * a * a * a * a * p * p * p * p * p * p * p * p * p * p * p -
+             0.0004804 * a * a * a * a * a * a * a * p * p * p * p * p * p * p * p * p * p * p * p);
+  y = clamp1(0.98592 - 0.62237 * p + 0.077875 * p * p - 0.0026929 * p * p * p * p * p + 0.4971 * a * a * p -
+             0.00032124 * a * a * p * p * p * p * p * p +
+             9.2491e-006 * a * a * a * a * p * p * p * p * p * p * p * p * p * p +
+             0.051549 * a * a * a * a * a * a * a * a + 1.0727e-014 * a * a * a * a * a * a * a * a * a * a);
+}
+
+// apply a circular_wrap transformation to some position
+void transform_circular_wrap(double& x, double& y, double refangle)
+{
+  if (refangle == 90)
+    return;
+  refangle = refangle * pi / 180;
+  double baseangle = 90 * pi / 180;
+  // translate into edge-normalized polar coordinates
+  double ang = atan2(x, y), len = sqrt(x * x + y * y);
+  len = len / edgedistance(ang);
+  // apply circular_wrap transform
+  if (abs(ang) < baseangle / 2)
+    // angle falls within the front region (to be enlarged)
+    ang *= refangle / baseangle;
+  else
+    // angle falls within the rear region (to be shrunken)
+    ang = pi - (-(((refangle - 2 * pi) * (pi - abs(ang)) * sign(ang)) / (2 * pi - baseangle)));
+  // translate back into soundfield position
+  len = len * edgedistance(ang);
+  x = clamp1(sin(ang) * len);
+  y = clamp1(cos(ang) * len);
+}
+
+// apply a focus transformation to some position
+void transform_focus(double& x, double& y, double focus)
+{
+  if (focus == 0)
+    return;
+  // translate into edge-normalized polar coordinates
+  double ang = atan2(x, y), len = clamp1(sqrt(x * x + y * y) / edgedistance(ang));
+  // apply focus
+  len = focus > 0 ? 1 - pow(1 - len, 1 + focus * 20) : pow(len, 1 - focus * 20);
+  // back-transform into euclidian soundfield position
+  len = len * edgedistance(ang);
+  x = clamp1(sin(ang) * len);
+  y = clamp1(cos(ang) * len);
+}

duckstation.sln

@@ -66,6 +66,8 @@ Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "rapidyaml", "dep\rapidyaml\
 EndProject
 Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "kissfft", "dep\kissfft\kissfft.vcxproj", "{A81D3F54-C58A-4B2D-8076-D4E483DB2E65}"
 EndProject
+Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "freesurround", "dep\freesurround\freesurround.vcxproj", "{1B0366E5-6F82-47B4-9FDD-D699C86AA077}"
+EndProject
 Global
 	GlobalSection(SolutionConfigurationPlatforms) = preSolution
 		Debug|ARM64 = Debug|ARM64
@@ -946,6 +948,38 @@ Global
 		{A81D3F54-C58A-4B2D-8076-D4E483DB2E65}.ReleaseLTCG-Clang|ARM64.Build.0 = ReleaseLTCG-Clang|ARM64
 		{A81D3F54-C58A-4B2D-8076-D4E483DB2E65}.ReleaseLTCG-Clang|x64.ActiveCfg = ReleaseLTCG-Clang|x64
 		{A81D3F54-C58A-4B2D-8076-D4E483DB2E65}.ReleaseLTCG-Clang|x64.Build.0 = ReleaseLTCG-Clang|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Debug|ARM64.ActiveCfg = Debug|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Debug|ARM64.Build.0 = Debug|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Debug|x64.ActiveCfg = Debug|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Debug|x64.Build.0 = Debug|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Debug-Clang|ARM64.ActiveCfg = Debug-Clang|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Debug-Clang|ARM64.Build.0 = Debug-Clang|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Debug-Clang|x64.ActiveCfg = Debug-Clang|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Debug-Clang|x64.Build.0 = Debug-Clang|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.DebugFast|ARM64.ActiveCfg = DebugFast|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.DebugFast|ARM64.Build.0 = DebugFast|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.DebugFast|x64.ActiveCfg = DebugFast|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.DebugFast|x64.Build.0 = DebugFast|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.DebugFast-Clang|ARM64.ActiveCfg = DebugFast-Clang|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.DebugFast-Clang|ARM64.Build.0 = DebugFast-Clang|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.DebugFast-Clang|x64.ActiveCfg = DebugFast-Clang|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.DebugFast-Clang|x64.Build.0 = DebugFast-Clang|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Release|ARM64.ActiveCfg = Release|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Release|ARM64.Build.0 = Release|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Release|x64.ActiveCfg = Release|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Release|x64.Build.0 = Release|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Release-Clang|ARM64.ActiveCfg = Release-Clang|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Release-Clang|ARM64.Build.0 = Release-Clang|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Release-Clang|x64.ActiveCfg = Release-Clang|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.Release-Clang|x64.Build.0 = Release-Clang|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.ReleaseLTCG|ARM64.ActiveCfg = ReleaseLTCG|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.ReleaseLTCG|ARM64.Build.0 = ReleaseLTCG|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.ReleaseLTCG|x64.ActiveCfg = ReleaseLTCG|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.ReleaseLTCG|x64.Build.0 = ReleaseLTCG|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.ReleaseLTCG-Clang|ARM64.ActiveCfg = ReleaseLTCG-Clang|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.ReleaseLTCG-Clang|ARM64.Build.0 = ReleaseLTCG-Clang|ARM64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.ReleaseLTCG-Clang|x64.ActiveCfg = ReleaseLTCG-Clang|x64
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077}.ReleaseLTCG-Clang|x64.Build.0 = ReleaseLTCG-Clang|x64
 	EndGlobalSection
 	GlobalSection(SolutionProperties) = preSolution
 		HideSolutionNode = FALSE
@@ -972,6 +1006,7 @@ Global
 		{27B8D4BB-4F01-4432-BC14-9BF6CA458EEE} = {BA490C0E-497D-4634-A21E-E65012006385}
 		{1AD23A8A-4C20-434C-AE6B-0E07759EEB1E} = {BA490C0E-497D-4634-A21E-E65012006385}
 		{A81D3F54-C58A-4B2D-8076-D4E483DB2E65} = {BA490C0E-497D-4634-A21E-E65012006385}
+		{1B0366E5-6F82-47B4-9FDD-D699C86AA077} = {BA490C0E-497D-4634-A21E-E65012006385}
 	EndGlobalSection
 	GlobalSection(ExtensibilityGlobals) = postSolution
 		SolutionGuid = {26E40B32-7C1D-48D0-95F4-1A500E054028}