Commit Graph

60 Commits

Author SHA1 Message Date
Sam Lantinga
d7939abf42 Use consistent style for pointer declarations and casts 2025-06-18 10:03:44 -07:00
Sam Lantinga
3235a4eb4f Initialize the padding of aligned allocations to zero
Fixes valgrind uninitialized memory errors when doing SIMD blits
e.g. testautomation --filter surface_testScale
2025-03-12 11:42:02 -07:00
Sam Lantinga
f2074d7af3 Updated copyright for 2025 2025-01-01 07:45:52 -08:00
Sam Lantinga
eacf119923 Renamed SDL_size_add_overflow() and SDL_size_mul_overflow() 2024-09-02 17:17:48 -07:00
Sam Lantinga
9ff3446f03 Use SDL_bool instead an int return code in the SDL API
Most SDL functions used to indicate success or failure using an int return code. These functions have been changed to return SDL_bool.

Here is a coccinelle patch to change code that previously compared the return value to 0 and changes it to a boolean test:
@ bool_return_type  @
identifier func =~ "^(SDL_AddEventWatch|SDL_AddHintCallback|SDL_AddSurfaceAlternateImage|SDL_AddVulkanRenderSemaphores|SDL_BindAudioStream|SDL_BindAudioStreams|SDL_BlitSurface|SDL_BlitSurface9Grid|SDL_BlitSurfaceScaled|SDL_BlitSurfaceTiled|SDL_BlitSurfaceTiledWithScale|SDL_BlitSurfaceUnchecked|SDL_BlitSurfaceUncheckedScaled|SDL_CaptureMouse|SDL_ClearAudioStream|SDL_ClearClipboardData|SDL_ClearComposition|SDL_ClearError|SDL_ClearProperty|SDL_ClearSurface|SDL_CloseIO|SDL_CloseStorage|SDL_ConvertAudioSamples|SDL_ConvertEventToRenderCoordinates|SDL_ConvertPixels|SDL_ConvertPixelsAndColorspace|SDL_CopyFile|SDL_CopyProperties|SDL_CopyStorageFile|SDL_CreateDirectory|SDL_CreateStorageDirectory|SDL_CreateWindowAndRenderer|SDL_DateTimeToTime|SDL_DestroyWindowSurface|SDL_DetachVirtualJoystick|SDL_DisableScreenSaver|SDL_EnableScreenSaver|SDL_EnumerateDirectory|SDL_EnumerateProperties|SDL_EnumerateStorageDirectory|SDL_FillSurfaceRect|SDL_FillSurfaceRects|SDL_FlashWindow|SDL_FlipSurface|SDL_FlushAudioStream|SDL_FlushRenderer|SDL_GL_DestroyContext|SDL_GL_GetAttribute|SDL_GL_GetSwapInterval|SDL_GL_LoadLibrary|SDL_GL_MakeCurrent|SDL_GL_SetAttribute|SDL_GL_SetSwapInterval|SDL_GL_SwapWindow|SDL_GetAudioDeviceFormat|SDL_GetAudioStreamFormat|SDL_GetCameraFormat|SDL_GetClosestFullscreenDisplayMode|SDL_GetCurrentRenderOutputSize|SDL_GetCurrentTime|SDL_GetDXGIOutputInfo|SDL_GetDateTimeLocalePreferences|SDL_GetDisplayBounds|SDL_GetDisplayUsableBounds|SDL_GetGDKDefaultUser|SDL_GetGDKTaskQueue|SDL_GetGamepadSensorData|SDL_GetGamepadTouchpadFinger|SDL_GetHapticEffectStatus|SDL_GetJoystickBall|SDL_GetMasksForPixelFormat|SDL_GetPathInfo|SDL_GetRectUnion|SDL_GetRectUnionFloat|SDL_GetRenderClipRect|SDL_GetRenderColorScale|SDL_GetRenderDrawBlendMode|SDL_GetRenderDrawColor|SDL_GetRenderDrawColorFloat|SDL_GetRenderLogicalPresentation|SDL_GetRenderLogicalPresentationRect|SDL_GetRenderOutputSize|SDL_GetRenderSafeArea|SDL_GetRenderScale|SDL_GetRenderVSync|SDL_GetRenderViewport|SDL_GetSensorData|SDL_GetStorageFileSize|SDL_GetStoragePathInfo|SDL_GetSurfaceAlphaMod|SDL_GetSurfaceBlendMode|SDL_GetSurfaceClipRect|SDL_GetSurfaceColorKey|SDL_GetSurfaceColorMod|SDL_GetTextInputArea|SDL_GetTextureAlphaMod|SDL_GetTextureAlphaModFloat|SDL_GetTextureBlendMode|SDL_GetTextureColorMod|SDL_GetTextureColorModFloat|SDL_GetTextureScaleMode|SDL_GetTextureSize|SDL_GetWindowAspectRatio|SDL_GetWindowBordersSize|SDL_GetWindowMaximumSize|SDL_GetWindowMinimumSize|SDL_GetWindowPosition|SDL_GetWindowRelativeMouseMode|SDL_GetWindowSafeArea|SDL_GetWindowSize|SDL_GetWindowSizeInPixels|SDL_GetWindowSurfaceVSync|SDL_HideCursor|SDL_HideWindow|SDL_Init|SDL_InitHapticRumble|SDL_InitSubSystem|SDL_LoadWAV|SDL_LoadWAV_IO|SDL_LockAudioStream|SDL_LockProperties|SDL_LockSurface|SDL_LockTexture|SDL_LockTextureToSurface|SDL_MaximizeWindow|SDL_MinimizeWindow|SDL_MixAudio|SDL_OpenURL|SDL_OutOfMemory|SDL_PauseAudioDevice|SDL_PauseAudioStreamDevice|SDL_PauseHaptic|SDL_PlayHapticRumble|SDL_PremultiplyAlpha|SDL_PremultiplySurfaceAlpha|SDL_PushEvent|SDL_PutAudioStreamData|SDL_RaiseWindow|SDL_ReadStorageFile|SDL_ReadSurfacePixel|SDL_ReadSurfacePixelFloat|SDL_RegisterApp|SDL_ReloadGamepadMappings|SDL_RemovePath|SDL_RemoveStoragePath|SDL_RemoveTimer|SDL_RenamePath|SDL_RenameStoragePath|SDL_RenderClear|SDL_RenderCoordinatesFromWindow|SDL_RenderCoordinatesToWindow|SDL_RenderFillRect|SDL_RenderFillRects|SDL_RenderGeometry|SDL_RenderGeometryRaw|SDL_RenderLine|SDL_RenderLines|SDL_RenderPoint|SDL_RenderPoints|SDL_RenderPresent|SDL_RenderRect|SDL_RenderRects|SDL_RenderTexture|SDL_RenderTexture9Grid|SDL_RenderTextureRotated|SDL_RenderTextureTiled|SDL_RequestAndroidPermission|SDL_RestoreWindow|SDL_ResumeAudioDevice|SDL_ResumeAudioStreamDevice|SDL_ResumeHaptic|SDL_RumbleGamepad|SDL_RumbleGamepadTriggers|SDL_RumbleJoystick|SDL_RumbleJoystickTriggers|SDL_RunHapticEffect|SDL_SaveBMP|SDL_SaveBMP_IO|SDL_SendAndroidMessage|SDL_SendGamepadEffect|SDL_SendJoystickEffect|SDL_SendJoystickVirtualSensorData|SDL_SetAppMetadata|SDL_SetAppMetadataProperty|SDL_SetAudioDeviceGain|SDL_SetAudioPostmixCallback|SDL_SetAudioStreamFormat|SDL_SetAudioStreamFrequencyRatio|SDL_SetAudioStreamGain|SDL_SetAudioStreamGetCallback|SDL_SetAudioStreamInputChannelMap|SDL_SetAudioStreamOutputChannelMap|SDL_SetAudioStreamPutCallback|SDL_SetBooleanProperty|SDL_SetClipboardData|SDL_SetClipboardText|SDL_SetCursor|SDL_SetFloatProperty|SDL_SetGamepadLED|SDL_SetGamepadMapping|SDL_SetGamepadPlayerIndex|SDL_SetGamepadSensorEnabled|SDL_SetHapticAutocenter|SDL_SetHapticGain|SDL_SetJoystickLED|SDL_SetJoystickPlayerIndex|SDL_SetJoystickVirtualAxis|SDL_SetJoystickVirtualBall|SDL_SetJoystickVirtualButton|SDL_SetJoystickVirtualHat|SDL_SetJoystickVirtualTouchpad|SDL_SetLinuxThreadPriority|SDL_SetLinuxThreadPriorityAndPolicy|SDL_SetLogPriorityPrefix|SDL_SetMemoryFunctions|SDL_SetNumberProperty|SDL_SetPaletteColors|SDL_SetPointerProperty|SDL_SetPointerPropertyWithCleanup|SDL_SetPrimarySelectionText|SDL_SetRenderClipRect|SDL_SetRenderColorScale|SDL_SetRenderDrawBlendMode|SDL_SetRenderDrawColor|SDL_SetRenderDrawColorFloat|SDL_SetRenderLogicalPresentation|SDL_SetRenderScale|SDL_SetRenderTarget|SDL_SetRenderVSync|SDL_SetRenderViewport|SDL_SetScancodeName|SDL_SetStringProperty|SDL_SetSurfaceAlphaMod|SDL_SetSurfaceBlendMode|SDL_SetSurfaceColorKey|SDL_SetSurfaceColorMod|SDL_SetSurfaceColorspace|SDL_SetSurfacePalette|SDL_SetSurfaceRLE|SDL_SetTLS|SDL_SetTextInputArea|SDL_SetTextureAlphaMod|SDL_SetTextureAlphaModFloat|SDL_SetTextureBlendMode|SDL_SetTextureColorMod|SDL_SetTextureColorModFloat|SDL_SetTextureScaleMode|SDL_SetThreadPriority|SDL_SetWindowAlwaysOnTop|SDL_SetWindowAspectRatio|SDL_SetWindowBordered|SDL_SetWindowFocusable|SDL_SetWindowFullscreen|SDL_SetWindowFullscreenMode|SDL_SetWindowHitTest|SDL_SetWindowIcon|SDL_SetWindowKeyboardGrab|SDL_SetWindowMaximumSize|SDL_SetWindowMinimumSize|SDL_SetWindowModalFor|SDL_SetWindowMouseGrab|SDL_SetWindowMouseRect|SDL_SetWindowOpacity|SDL_SetWindowPosition|SDL_SetWindowRelativeMouseMode|SDL_SetWindowResizable|SDL_SetWindowShape|SDL_SetWindowSize|SDL_SetWindowSurfaceVSync|SDL_SetWindowTitle|SDL_SetiOSAnimationCallback|SDL_ShowAndroidToast|SDL_ShowCursor|SDL_ShowMessageBox|SDL_ShowSimpleMessageBox|SDL_ShowWindow|SDL_ShowWindowSystemMenu|SDL_StartTextInput|SDL_StartTextInputWithProperties|SDL_StopHapticEffect|SDL_StopHapticEffects|SDL_StopHapticRumble|SDL_StopTextInput|SDL_SyncWindow|SDL_TimeToDateTime|SDL_TryLockMutex|SDL_TryLockRWLockForReading|SDL_TryLockRWLockForWriting|SDL_TryWaitSemaphore|SDL_UnlockAudioStream|SDL_UpdateHapticEffect|SDL_UpdateNVTexture|SDL_UpdateTexture|SDL_UpdateWindowSurface|SDL_UpdateWindowSurfaceRects|SDL_UpdateYUVTexture|SDL_Vulkan_CreateSurface|SDL_Vulkan_LoadLibrary|SDL_WaitConditionTimeout|SDL_WaitSemaphoreTimeout|SDL_WarpMouseGlobal|SDL_WriteStorageFile|SDL_WriteSurfacePixel|SDL_WriteSurfacePixelFloat)$";
@@
(
  func(
  ...
  )
- == 0
|
- func(
+ !func(
  ...
  )
- < 0
|
- func(
+ !func(
  ...
  )
- != 0
|
- func(
+ !func(
  ...
  )
- == -1
)
2024-08-27 10:31:46 -07:00
Sam Lantinga
6501e90018 Use C++ style comments consistently in SDL source code
Implemented using this script:

find . -type f -exec sed -i'' -e 's,/\* *\([^*]*\)\*/ *$,// \1,' -e 's, \+$,,' {} \;
git checkout \
    core/linux/SDL_evdev_kbd_default_keymap.h \
    events/imKStoUCS.* \
    hidapi \
    joystick/controller_type.c \
    joystick/controller_type.h \
    joystick/hidapi/steam/controller_constants.h \
    joystick/hidapi/steam/controller_structs.h \
    joystick/SDL_gamepad_db.h \
    libm \
    render/*/*Shader*.h \
    render/vitagxm/SDL_render_vita_gxm_shaders.h \
    render/metal/SDL_shaders_metal_*.h \
    stdlib/SDL_malloc.c \
    stdlib/SDL_qsort.c \
    stdlib/SDL_strtokr.c \
    test/ \
    video/directx/SDL_d3d12_xbox_cmacros.h \
    video/directx/d3d12.h \
    video/directx/d3d12sdklayers.h \
    video/khronos \
    video/x11/edid-parse.c \
    video/x11/xsettings-client.* \
    video/yuv2rgb
sed -i'' -e 's,/\* *\([^*]*\)\*/ *$,// \1,' -e 's, \+$,,' hidapi/SDL_hidapi.c
2024-08-22 13:30:02 -07:00
Anonymous Maarten
46d9066a69 Fix warnings shown when making SDL_bool a typedef of bool 2024-08-22 16:03:39 +00:00
Sam Lantinga
89cdadf7c3 Added SDL_isinf(), SDL_isinff(), SDL_isnan(), and SDL_isnanf() 2024-06-24 11:49:15 -07:00
Ryan C. Gordon
a5c892d2c3 stdlib: Improve Unicode support and consistency in string comparison functions.
SDL_strcasecmp (even when calling into a C runtime) does not work with
Unicode chars, and depending on the user's locale, might not work with
even basic ASCII strings.

This implements the function from scratch, using "case-folding,"
which is a more robust method that deals with various languages. It
involves a hashtable of a few hundred codepoints that are "uppercase" and
how to map them to lowercase equivalents (possibly increasing the size of
the string in the process). The vast majority of human languages (and
Unicode) do not have letters with different cases, but still, this static
table takes about 10 kilobytes on a 64-bit machine.

Even this will fail in one known case: the Turkish 'i' folds differently
if you're writing in Turkish vs other languages. Generally this is seen as
unfortunate collateral damage in cases where you can't specify the language
in use.

In addition to case-folding the codepoints, the new functions also know how
to decode the various formats to turn them into codepoints in the first
place, instead of blindly stepping by one byte (or one wchar_t) per
character.

Also included is casefolding.txt from the Unicode Consortium and a perl
script to generate the hashtable from that text file, so we can trivially
update this if new languages are added in the future.

A simple test using the new function:

```c
 #include <SDL3/SDL.h>

 int main(void)
 {
     const char *a = "α ε η";
     const char *b = "Α Ε Η";
     SDL_Log("    strcasecmp(\"%s\", \"%s\") == %d\n", a, b, strcasecmp(a, b));
     SDL_Log("SDL_strcasecmp(\"%s\", \"%s\") == %d\n", a, b, SDL_strcasecmp(a, b));
     return 0;
 }
```

Produces:

```
INFO:     strcasecmp("α ε η", "Α Ε Η") == 32
INFO: SDL_strcasecmp("α ε η", "Α Ε Η") == 0
```

glibc strcasecmp() fails to compare a Greek lowercase string to its uppercase
equivalent, even with a UTF-8 locale, but SDL_strcasecmp() works.

Other SDL_stdinc.h functions are changed to be more consistent, which is to
say they now ignore any C runtime and often dictate that only English-based
low-ASCII works with them.

Fixes Issue #9313.
2024-03-29 15:01:40 -04:00
Sam Lantinga
7a069cc4b0 Allow optimizing memcpy and memset where possible
Modern C runtimes have well optimized memset and memcpy, so use those instead of dispatching into SDL's versions. In addition, some compilers can analyze memset and memcpy calls and directly turn them into optimized assembly.
2024-01-21 06:55:29 -08:00
Sam Lantinga
5b3ee51c6c Updated copyright for 2024 2024-01-01 13:15:26 -08:00
Sam Lantinga
dab4f296b8 Cleanup spacing 2023-06-15 16:43:22 -07:00
Sam Lantinga
2e465ae31b Revert "Added SDL_nextafter() and SDL_nextafterf()"
This reverts commit bc5d074818.

It's not clear that we need these yet, so I'm going to remove them for now.
2023-06-14 11:05:10 -07:00
Sam Lantinga
bc5d074818 Added SDL_nextafter() and SDL_nextafterf() 2023-06-13 10:32:21 -07:00
Sam Lantinga
737aa881fa Updated source to match SDL function prototype style 2023-05-23 09:37:07 -07:00
Anonymous Maarten
b6ae281e97 Use #ifdef/#ifndef instead of #if defined/#if \!defined 2023-03-30 21:35:01 +00:00
Sam Lantinga
2aa9569b3e Replaced SDL_SIMDAlloc(), SDL_SIMDRealloc(), and SDL_SIMDFree() with SDL_aligned_alloc() and SDL_aligned_free()
Fixes https://github.com/libsdl-org/SDL/issues/5641
2023-01-09 18:01:59 -08:00
Sam Lantinga
fde78d12f2 Updated copyright for 2023 2023-01-09 09:41:41 -08:00
Sam Lantinga
7f23d71b6a Added SDL_modf() and SDL_modff()
This function is useful for accumulating relative mouse motion if you want to only handle whole pixel movement.
e.g.
static float dx_frac, dy_frac;
float dx, dy;

/* Accumulate new motion with previous sub-pixel motion */
dx = event.motion.xrel + dx_frac;
dy = event.motion.yrel + dy_frac;

/* Split the integral and fractional motion, dx and dy will contain whole pixel deltas */
dx_frac = SDL_modff(dx, &dx);
dy_frac = SDL_modff(dy, &dy);
if (dx != 0.0f || dy != 0.0f) {
    ...
}
2022-12-29 23:12:19 -08:00
Sam Lantinga
63724c113b Removed the vi format comments from the source
Vim users can use the [editorconfig plugin](https://github.com/editorconfig/editorconfig-vim) to automatically set tab spacing for the SDL coding style.

Fixes https://github.com/libsdl-org/SDL/issues/6903
2022-12-26 11:17:23 -08:00
Sam Lantinga
5750bcb174 Update for SDL3 coding style (#6717)
I updated .clang-format and ran clang-format 14 over the src and test directories to standardize the code base.

In general I let clang-format have it's way, and added markup to prevent formatting of code that would break or be completely unreadable if formatted.

The script I ran for the src directory is added as build-scripts/clang-format-src.sh

This fixes:
#6592
#6593
#6594
2022-11-30 12:51:59 -08:00
Sam Lantinga
c5790359fd Added precompiled header support for Visual Studio and Xcode (#6710)
Fixes https://github.com/libsdl-org/SDL/issues/6704
2022-11-29 18:34:15 -08:00
Sam Lantinga
0a48abc860 Switch header convention from #include "SDL.h" to #include <SDL3/SDLh>
I ran this script in the include directory:
```sh
sed -i '' -e 's,#include "\(SDL.*\)",#include <SDL3/\1>,' *.h
```

I ran this script in the src directory:
```sh
for i in ../include/SDL3/SDL*.h
do hdr=$(basename $i)
   if [ x"$(echo $hdr | egrep 'SDL_main|SDL_name|SDL_test|SDL_syswm|SDL_opengl|SDL_egl|SDL_vulkan')" != x ]; then
        find . -type f -exec sed -i '' -e 's,#include "\('$hdr'\)",#include <SDL3/\1>,' {} \;
    else
        find . -type f -exec sed -i '' -e '/#include "'$hdr'"/d' {} \;
    fi
done
```

Fixes https://github.com/libsdl-org/SDL/issues/6575
2022-11-26 22:15:18 -08:00
Sam Lantinga
ce9f3173cd Only use memset_pattern4() if we have string.h on Apple platforms 2022-11-26 05:25:57 -08:00
Sam Lantinga
63f307fe1f Remove SDL_config.h from the public headers
The SDL headers are no longer dependent on the build configuration.

Fixes https://github.com/libsdl-org/SDL/issues/6643 and https://github.com/libsdl-org/SDL/issues/6641
2022-11-26 04:48:36 -08:00
Ozkan Sezer
0b8309da0c renamed SDL PI constants to SDL_PI_D and SDL_PI_F. 2022-11-25 22:35:24 +03:00
Sam Lantinga
670f1df469 Removed SDL_stdinc.h dependency on HAVE_M_PI, added SDL_M_PIl (double) and SDL_M_PIf (float) instead 2022-11-25 10:33:37 -08:00
Anonymous Maarten
5da85376b9 stdlib: move all mslibc functions to SDL_mslibc.c
This allows disabling LTO on them by only specifying a single file.
2022-07-27 09:07:56 -07:00
Frank Richter
0e63b514d5 Don't define memcpy(), memset() when using static VC runtime.
The linker will complain about duplicated symbols otherwise
(see #3662, #5156).
2022-05-07 08:10:52 -07:00
Sam Lantinga
120c76c84b Updated copyright for 2022 2022-01-03 09:40:21 -08:00
Ozkan Sezer
6407d4b0a8 remove unnecessary parentheses from SDL_abs() 2021-11-05 17:10:02 +03:00
Kevin Colour
6cbee0634e include: Swap parameter names in atan2 functions 2021-11-05 17:04:00 +03:00
Ozkan Sezer
1957ffd21a fixed a typo in SDL_ceilf() 2021-03-14 11:04:28 +03:00
Misa
3da58b47f6 Fix errors with fallback impls of SDL_isxdigit() and SDL_ispunct()
SDL_isxdigit() should only accept A-Fa-f, not A-Za-z (it shouldn't use
SDL_isalpha()).

SDL_ispunct() shouldn't accept spaces (it should use SDL_isgraph()
instead).
2021-02-13 19:30:24 -05:00
Misa
dfe219ec71 Add all missing "is characteristic" stdlib functions
SDL has been missing a bunch of these 'isX' functions for some time,
where X is some characteristic of a given character.

This commit adds the rest of them to the SDL stdlib, so now we have:
- SDL_isalpha()
- SDL_isalnum()
- SDL_isblank()
- SDL_iscntrl()
- SDL_isxdigit()
- SDL_ispunct()
- SDL_isprint()
- SDL_isgraph()
2021-02-13 11:42:13 -08:00
Sam Lantinga
9130f7c377 Updated copyright for 2021 2021-01-02 10:25:38 -08:00
Sam Lantinga
93ccdee8c1 Fixed bug 5404 - stdlib: Added SDL_round, SDL_roundf, SDL_lround and SDL_lroundf
Cameron Cawley

stdlib: Added SDL_round, SDL_roundf, SDL_lround and SDL_lroundf

The default implementation is based on the one used in the Windows RT video driver.
2020-12-23 13:47:49 -08:00
Sam Lantinga
8b29aaddbd Fixed warning when building on Windows 2020-11-12 14:34:11 -08:00
Sam Lantinga
8b60d39cb0 Fixed bug 5112 - CMake won't compile in VS2019
dark_sylinc

Trying to build SDL with VS2019 using CMake will encounter a linking error

More specifically:

    1>SDL_string.obj : error LNK2019: unresolved external symbol memset referenced in function SDL_vsnprintf_REAL
2020-05-02 14:43:17 -07:00
Sam Lantinga
1d8797876a Fixed implicit linkage to ftol2() on Windows 2020-04-13 13:24:56 -07:00
Ryan C. Gordon
d292f6bd4f stdlib: Add SDL_trunc and SDL_truncf 2020-04-10 12:17:14 -04:00
Sam Lantinga
aa384ad02b Fixed bug 5001 - Feature request: SDL_isupper & SDL_islower 2020-03-02 15:21:07 -08:00
Sam Lantinga
a8780c6a28 Updated copyright date for 2020 2020-01-16 20:49:25 -08:00
Sam Lantinga
5e13087b0f Updated copyright for 2019 2019-01-04 22:01:14 -08:00
Ozkan Sezer
f45f33bdc0 SDL_expf: return SDL_exp() instead of SDL_uclibc_exp() for consistency. 2018-08-05 10:01:01 +03:00
Ethan Lee
b4fe7412f9 SDL_exp 2018-08-04 11:52:46 -04:00
Ethan Lee
11c348b4d7 SDL_log10 2018-01-17 11:53:09 -05:00
Sam Lantinga
e3cc5b2c6b Updated copyright for 2018 2018-01-03 10:03:25 -08:00
Sam Lantinga
bcdf8b916b Added SDL_fmod() and SDL_fmodf() 2017-11-04 17:35:03 -07:00
Sam Lantinga
34502143d9 Added float versions of SDL's math functions 2017-11-04 15:34:14 -07:00