/** @file mathop.tc ** @brief Math operations - Template Definition ** @author Andrea Vedaldi **/ #include "float.th" #undef COMPARISONFUNCTION_TYPE #if (FLT == VL_TYPE_FLOAT) #define COMPARISONFUNCTION_TYPE VlFloatVectorComparisonFunction #else #define COMPARISONFUNCTION_TYPE VlDoubleVectorComparisonFunction #endif /* ---------------------------------------------------------------- */ VL_EXPORT T VL_XCAT(_vl_distance_l2_, SFX) (vl_size dimension, T const * X, T const * Y) { T const * X_end = X + dimension ; T acc = 0.0 ; while (X < X_end) { T d = *X++ - *Y++ ; acc += d * d ; } return acc ; } VL_EXPORT T VL_XCAT(_vl_distance_l1_, SFX) (vl_size dimension, T const * X, T const * Y) { T const * X_end = X + dimension ; T acc = 0.0 ; while (X < X_end) { T d = *X++ - *Y++ ; acc += VL_MAX(d, -d) ; } return acc ; } VL_EXPORT T VL_XCAT(_vl_distance_chi2_, SFX) (vl_size dimension, T const * X, T const * Y) { T const * X_end = X + dimension ; T acc = 0.0 ; while (X < X_end) { T a = *X++ ; T b = *Y++ ; T delta = a - b ; T denom = (a + b) ; T numer = delta * delta ; if (denom) { T ratio = numer / denom ; acc += ratio ; } } return acc ; } VL_EXPORT T VL_XCAT(_vl_kernel_l2_, SFX) (vl_size dimension, T const * X, T const * Y) { T const * X_end = X + dimension ; T acc = 0.0 ; while (X < X_end) { T a = *X++ ; T b = *Y++ ; acc += a * b ; } return acc ; } VL_EXPORT T VL_XCAT(_vl_kernel_l1_, SFX) (vl_size dimension, T const * X, T const * Y) { T const * X_end = X + dimension ; T acc = 0.0 ; while (X < X_end) { T a = *X++ ; T b = *Y++ ; T a_ = VL_XCAT(vl_abs_, SFX) (a) ; T b_ = VL_XCAT(vl_abs_, SFX) (b) ; acc += a_ + b_ - VL_XCAT(vl_abs_, SFX) (a - b) ; } return acc / ((T)2) ; } VL_EXPORT T VL_XCAT(_vl_kernel_chi2_, SFX) (vl_size dimension, T const * X, T const * Y) { T const * X_end = X + dimension ; T acc = 0.0 ; while (X < X_end) { T a = *X++ ; T b = *Y++ ; T denom = (a + b) ; if (denom) { T numer = 2 * a * b ; T ratio = numer / denom ; acc += ratio ; } } return acc ; } /* ---------------------------------------------------------------- */ VL_EXPORT COMPARISONFUNCTION_TYPE VL_XCAT(vl_get_vector_comparison_function_, SFX)(VlVectorComparisonType type) { COMPARISONFUNCTION_TYPE function = 0 ; switch (type) { case VlDistanceL2 : function = VL_XCAT(_vl_distance_l2_, SFX) ; break ; case VlDistanceL1 : function = VL_XCAT(_vl_distance_l1_, SFX) ; break ; case VlDistanceChi2 : function = VL_XCAT(_vl_distance_chi2_, SFX) ; break ; case VlKernelL2 : function = VL_XCAT(_vl_kernel_l2_, SFX) ; break ; case VlKernelL1 : function = VL_XCAT(_vl_kernel_l1_, SFX) ; break ; case VlKernelChi2 : function = VL_XCAT(_vl_kernel_chi2_, SFX) ; break ; default: assert(0) ; break ; } #ifdef VL_SUPPORT_SSE2 if (vl_cpu_has_sse2() && vl_get_simd_enabled()) { switch (type) { case VlDistanceL2 : function = VL_XCAT(_vl_distance_l2_sse2_, SFX) ; break ; case VlDistanceL1 : function = VL_XCAT(_vl_distance_l1_sse2_, SFX) ; break ; case VlDistanceChi2 : function = VL_XCAT(_vl_distance_chi2_sse2_, SFX) ; break ; case VlKernelL2 : function = VL_XCAT(_vl_kernel_l2_sse2_, SFX) ; break ; case VlKernelL1 : function = VL_XCAT(_vl_kernel_l1_sse2_, SFX) ; break ; case VlKernelChi2 : function = VL_XCAT(_vl_kernel_chi2_sse2_, SFX) ; break ; default: /* if no driver is provided, fallback to baseline */ break ; } } #endif return function ; } /* ---------------------------------------------------------------- */ VL_EXPORT void VL_XCAT(vl_eval_vector_comparison_on_all_pairs_, SFX) (T * result, vl_size dimension, T const * X, vl_size numDataX, T const * Y, vl_size numDataY, COMPARISONFUNCTION_TYPE function) { int xi ; int yi ; assert (X) ; if (numDataX == 0) return ; if (Y) { if (numDataY == 0) return ; for (yi = 0 ; yi < numDataY ; ++ yi) { for (xi = 0 ; xi < numDataX ; ++ xi) { *result++ = (*function)(dimension, X, Y) ; X += dimension ; } X -= dimension * numDataX ; Y += dimension ; } } else { T * resultTransp = result ; Y = X ; for (yi = 0 ; yi < numDataX ; ++ yi) { for (xi = 0 ; xi <= yi ; ++ xi) { T z = (*function)(dimension, X, Y) ; X += dimension ; *result = z ; *resultTransp = z ; result += 1 ; resultTransp += numDataX ; } X -= dimension * (yi + 1) ; Y += dimension ; result += numDataX - (yi + 1) ; resultTransp += 1 - (yi + 1) * numDataX ; } } }