Update freetype sources (2.6.2) in third party.

third_party/freetype2/src/include/freetype/internal/ftcalc.h

Index: third_party/freetype2/src/include/freetype/internal/ftcalc.h
diff --git a/third_party/freetype2/src/include/freetype/internal/ftcalc.h b/third_party/freetype2/src/include/freetype/internal/ftcalc.h
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index 0000000000000000000000000000000000000000..a76682b0c046cf46c530d3cd55bf6bdce0bdedc3
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+++ b/third_party/freetype2/src/include/freetype/internal/ftcalc.h
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+/***************************************************************************/
+/*                                                                         */
+/*  ftcalc.h                                                               */
+/*                                                                         */
+/*    Arithmetic computations (specification).                             */
+/*                                                                         */
+/*  Copyright 1996-2015 by                                                 */
+/*  David Turner, Robert Wilhelm, and Werner Lemberg.                      */
+/*                                                                         */
+/*  This file is part of the FreeType project, and may only be used,       */
+/*  modified, and distributed under the terms of the FreeType project      */
+/*  license, LICENSE.TXT.  By continuing to use, modify, or distribute     */
+/*  this file you indicate that you have read the license and              */
+/*  understand and accept it fully.                                        */
+/*                                                                         */
+/***************************************************************************/
+
+
+#ifndef __FTCALC_H__
+#define __FTCALC_H__
+
+
+#include <ft2build.h>
+#include FT_FREETYPE_H
+
+
+FT_BEGIN_HEADER
+
+
+  /*************************************************************************/
+  /*                                                                       */
+  /* FT_MulDiv() and FT_MulFix() are declared in freetype.h.               */
+  /*                                                                       */
+  /*************************************************************************/
+
+#ifndef  FT_CONFIG_OPTION_NO_ASSEMBLER
+  /* Provide assembler fragments for performance-critical functions. */
+  /* These must be defined `static __inline__' with GCC.             */
+
+#if defined( __CC_ARM ) || defined( __ARMCC__ )  /* RVCT */
+
+#define FT_MULFIX_ASSEMBLER  FT_MulFix_arm
+
+  /* documentation is in freetype.h */
+
+  static __inline FT_Int32
+  FT_MulFix_arm( FT_Int32  a,
+                 FT_Int32  b )
+  {
+    FT_Int32  t, t2;
+
+
+    __asm
+    {
+      smull t2, t,  b,  a           /* (lo=t2,hi=t) = a*b */
+      mov   a,  t,  asr #31         /* a   = (hi >> 31) */
+      add   a,  a,  #0x8000         /* a  += 0x8000 */
+      adds  t2, t2, a               /* t2 += a */
+      adc   t,  t,  #0              /* t  += carry */
+      mov   a,  t2, lsr #16         /* a   = t2 >> 16 */
+      orr   a,  a,  t,  lsl #16     /* a  |= t << 16 */
+    }
+    return a;
+  }
+
+#endif /* __CC_ARM || __ARMCC__ */
+
+
+#ifdef __GNUC__
+
+#if defined( __arm__ )                                 && \
+    ( !defined( __thumb__ ) || defined( __thumb2__ ) ) && \
+    !( defined( __CC_ARM ) || defined( __ARMCC__ ) )
+
+#define FT_MULFIX_ASSEMBLER  FT_MulFix_arm
+
+  /* documentation is in freetype.h */
+
+  static __inline__ FT_Int32
+  FT_MulFix_arm( FT_Int32  a,
+                 FT_Int32  b )
+  {
+    FT_Int32  t, t2;
+
+
+    __asm__ __volatile__ (
+      "smull  %1, %2, %4, %3\n\t"       /* (lo=%1,hi=%2) = a*b */
+      "mov    %0, %2, asr #31\n\t"      /* %0  = (hi >> 31) */
+#if defined( __clang__ ) && defined( __thumb2__ )
+      "add.w  %0, %0, #0x8000\n\t"      /* %0 += 0x8000 */
+#else
+      "add    %0, %0, #0x8000\n\t"      /* %0 += 0x8000 */
+#endif
+      "adds   %1, %1, %0\n\t"           /* %1 += %0 */
+      "adc    %2, %2, #0\n\t"           /* %2 += carry */
+      "mov    %0, %1, lsr #16\n\t"      /* %0  = %1 >> 16 */
+      "orr    %0, %0, %2, lsl #16\n\t"  /* %0 |= %2 << 16 */
+      : "=r"(a), "=&r"(t2), "=&r"(t)
+      : "r"(a), "r"(b)
+      : "cc" );
+    return a;
+  }
+
+#endif /* __arm__                      && */
+       /* ( __thumb2__ || !__thumb__ ) && */
+       /* !( __CC_ARM || __ARMCC__ )      */
+
+
+#if defined( __i386__ )
+
+#define FT_MULFIX_ASSEMBLER  FT_MulFix_i386
+
+  /* documentation is in freetype.h */
+
+  static __inline__ FT_Int32
+  FT_MulFix_i386( FT_Int32  a,
+                  FT_Int32  b )
+  {
+    FT_Int32  result;
+
+
+    __asm__ __volatile__ (
+      "imul  %%edx\n"
+      "movl  %%edx, %%ecx\n"
+      "sarl  $31, %%ecx\n"
+      "addl  $0x8000, %%ecx\n"
+      "addl  %%ecx, %%eax\n"
+      "adcl  $0, %%edx\n"
+      "shrl  $16, %%eax\n"
+      "shll  $16, %%edx\n"
+      "addl  %%edx, %%eax\n"
+      : "=a"(result), "=d"(b)
+      : "a"(a), "d"(b)
+      : "%ecx", "cc" );
+    return result;
+  }
+
+#endif /* i386 */
+
+#endif /* __GNUC__ */
+
+
+#ifdef _MSC_VER /* Visual C++ */
+
+#ifdef _M_IX86
+
+#define FT_MULFIX_ASSEMBLER  FT_MulFix_i386
+
+  /* documentation is in freetype.h */
+
+  static __inline FT_Int32
+  FT_MulFix_i386( FT_Int32  a,
+                  FT_Int32  b )
+  {
+    FT_Int32  result;
+
+    __asm
+    {
+      mov eax, a
+      mov edx, b
+      imul edx
+      mov ecx, edx
+      sar ecx, 31
+      add ecx, 8000h
+      add eax, ecx
+      adc edx, 0
+      shr eax, 16
+      shl edx, 16
+      add eax, edx
+      mov result, eax
+    }
+    return result;
+  }
+
+#endif /* _M_IX86 */
+
+#endif /* _MSC_VER */
+
+
+#if defined( __GNUC__ ) && defined( __x86_64__ )
+
+#define FT_MULFIX_ASSEMBLER  FT_MulFix_x86_64
+
+  static __inline__ FT_Int32
+  FT_MulFix_x86_64( FT_Int32  a,
+                    FT_Int32  b )
+  {
+    /* Temporarily disable the warning that C90 doesn't support */
+    /* `long long'.                                             */
+#if __GNUC__ > 4 || ( __GNUC__ == 4 && __GNUC_MINOR__ >= 6 )
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wlong-long"
+#endif
+
+#if 1
+    /* Technically not an assembly fragment, but GCC does a really good */
+    /* job at inlining it and generating good machine code for it.      */
+    long long  ret, tmp;
+
+
+    ret  = (long long)a * b;
+    tmp  = ret >> 63;
+    ret += 0x8000 + tmp;
+
+    return (FT_Int32)( ret >> 16 );
+#else
+
+    /* For some reason, GCC 4.6 on Ubuntu 12.04 generates invalid machine  */
+    /* code from the lines below.  The main issue is that `wide_a' is not  */
+    /* properly initialized by sign-extending `a'.  Instead, the generated */
+    /* machine code assumes that the register that contains `a' on input   */
+    /* can be used directly as a 64-bit value, which is wrong most of the  */
+    /* time.                                                               */
+    long long  wide_a = (long long)a;
+    long long  wide_b = (long long)b;
+    long long  result;
+
+
+    __asm__ __volatile__ (
+      "imul %2, %1\n"
+      "mov %1, %0\n"
+      "sar $63, %0\n"
+      "lea 0x8000(%1, %0), %0\n"
+      "sar $16, %0\n"
+      : "=&r"(result), "=&r"(wide_a)
+      : "r"(wide_b)
+      : "cc" );
+
+    return (FT_Int32)result;
+#endif
+
+#if __GNUC__ > 4 || ( __GNUC__ == 4 && __GNUC_MINOR__ >= 6 )
+#pragma GCC diagnostic pop
+#endif
+  }
+
+#endif /* __GNUC__ && __x86_64__ */
+
+#endif /* !FT_CONFIG_OPTION_NO_ASSEMBLER */
+
+
+#ifdef FT_CONFIG_OPTION_INLINE_MULFIX
+#ifdef FT_MULFIX_ASSEMBLER
+#define FT_MulFix( a, b )  FT_MULFIX_ASSEMBLER( (FT_Int32)(a), (FT_Int32)(b) )
+#endif
+#endif
+
+
+  /*************************************************************************/
+  /*                                                                       */
+  /* <Function>                                                            */
+  /*    FT_MulDiv_No_Round                                                 */
+  /*                                                                       */
+  /* <Description>                                                         */
+  /*    A very simple function used to perform the computation `(a*b)/c'   */
+  /*    (without rounding) with maximum accuracy (it uses a 64-bit         */
+  /*    intermediate integer whenever necessary).                          */
+  /*                                                                       */
+  /*    This function isn't necessarily as fast as some processor specific */
+  /*    operations, but is at least completely portable.                   */
+  /*                                                                       */
+  /* <Input>                                                               */
+  /*    a :: The first multiplier.                                         */
+  /*    b :: The second multiplier.                                        */
+  /*    c :: The divisor.                                                  */
+  /*                                                                       */
+  /* <Return>                                                              */
+  /*    The result of `(a*b)/c'.  This function never traps when trying to */
+  /*    divide by zero; it simply returns `MaxInt' or `MinInt' depending   */
+  /*    on the signs of `a' and `b'.                                       */
+  /*                                                                       */
+  FT_BASE( FT_Long )
+  FT_MulDiv_No_Round( FT_Long  a,
+                      FT_Long  b,
+                      FT_Long  c );
+
+
+  /*
+   *  A variant of FT_Matrix_Multiply which scales its result afterwards.
+   *  The idea is that both `a' and `b' are scaled by factors of 10 so that
+   *  the values are as precise as possible to get a correct result during
+   *  the 64bit multiplication.  Let `sa' and `sb' be the scaling factors of
+   *  `a' and `b', respectively, then the scaling factor of the result is
+   *  `sa*sb'.
+   */
+  FT_BASE( void )
+  FT_Matrix_Multiply_Scaled( const FT_Matrix*  a,
+                             FT_Matrix        *b,
+                             FT_Long           scaling );
+
+
+  /*
+   *  A variant of FT_Vector_Transform.  See comments for
+   *  FT_Matrix_Multiply_Scaled.
+   */
+  FT_BASE( void )
+  FT_Vector_Transform_Scaled( FT_Vector*        vector,
+                              const FT_Matrix*  matrix,
+                              FT_Long           scaling );
+
+
+  /*
+   *  This function normalizes a vector and returns its original length.
+   *  The normalized vector is a 16.16 fixed-point unit vector with length
+   *  close to 0x10000.  The accuracy of the returned length is limited to
+   *  16 bits also.  The function utilizes quick inverse square root
+   *  approximation without divisions and square roots relying on Newton's
+   *  iterations instead.
+   */
+  FT_BASE( FT_UInt32 )
+  FT_Vector_NormLen( FT_Vector*  vector );
+
+
+  /*
+   *  Return -1, 0, or +1, depending on the orientation of a given corner.
+   *  We use the Cartesian coordinate system, with positive vertical values
+   *  going upwards.  The function returns +1 if the corner turns to the
+   *  left, -1 to the right, and 0 for undecidable cases.
+   */
+  FT_BASE( FT_Int )
+  ft_corner_orientation( FT_Pos  in_x,
+                         FT_Pos  in_y,
+                         FT_Pos  out_x,
+                         FT_Pos  out_y );
+
+
+  /*
+   *  Return TRUE if a corner is flat or nearly flat.  This is equivalent to
+   *  saying that the corner point is close to its neighbors, or inside an
+   *  ellipse defined by the neighbor focal points to be more precise.
+   */
+  FT_BASE( FT_Int )
+  ft_corner_is_flat( FT_Pos  in_x,
+                     FT_Pos  in_y,
+                     FT_Pos  out_x,
+                     FT_Pos  out_y );
+
+
+  /*
+   *  Return the most significant bit index.
+   */
+
+#ifndef  FT_CONFIG_OPTION_NO_ASSEMBLER
+#if defined( __GNUC__ )                                          && \
+    ( __GNUC__ > 3 || ( __GNUC__ == 3 && __GNUC_MINOR__ >= 4 ) )
+
+#if FT_SIZEOF_INT == 4
+
+#define FT_MSB( x )  ( 31 - __builtin_clz( x ) )
+
+#elif FT_SIZEOF_LONG == 4
+
+#define FT_MSB( x )  ( 31 - __builtin_clzl( x ) )
+
+#endif
+
+#endif /* __GNUC__ */
+#endif /* !FT_CONFIG_OPTION_NO_ASSEMBLER */
+
+#ifndef FT_MSB
+
+  FT_BASE( FT_Int )
+  FT_MSB( FT_UInt32  z );
+
+#endif
+
+
+  /*
+   *  Return sqrt(x*x+y*y), which is the same as `FT_Vector_Length' but uses
+   *  two fixed-point arguments instead.
+   */
+  FT_BASE( FT_Fixed )
+  FT_Hypot( FT_Fixed  x,
+            FT_Fixed  y );
+
+
+#if 0
+
+  /*************************************************************************/
+  /*                                                                       */
+  /* <Function>                                                            */
+  /*    FT_SqrtFixed                                                       */
+  /*                                                                       */
+  /* <Description>                                                         */
+  /*    Computes the square root of a 16.16 fixed-point value.             */
+  /*                                                                       */
+  /* <Input>                                                               */
+  /*    x :: The value to compute the root for.                            */
+  /*                                                                       */
+  /* <Return>                                                              */
+  /*    The result of `sqrt(x)'.                                           */
+  /*                                                                       */
+  /* <Note>                                                                */
+  /*    This function is not very fast.                                    */
+  /*                                                                       */
+  FT_BASE( FT_Int32 )
+  FT_SqrtFixed( FT_Int32  x );
+
+#endif /* 0 */
+
+
+#define INT_TO_F26DOT6( x )    ( (FT_Long)(x) << 6  )
+#define INT_TO_F2DOT14( x )    ( (FT_Long)(x) << 14 )
+#define INT_TO_FIXED( x )      ( (FT_Long)(x) << 16 )
+#define F2DOT14_TO_FIXED( x )  ( (FT_Long)(x) << 2  )
+#define FLOAT_TO_FIXED( x )    ( (FT_Long)( x * 65536.0 ) )
+#define FIXED_TO_INT( x )      ( FT_RoundFix( x ) >> 16 )
+
+#define ROUND_F26DOT6( x )     ( x >= 0 ? (    ( (x) + 32 ) & -64 )     \
+                                        : ( -( ( 32 - (x) ) & -64 ) ) )
+
+
+FT_END_HEADER
+
+#endif /* __FTCALC_H__ */
+
+
+/* END */