TheTest & test_float_math()
{
typedef typename V_RegTrait128<LaneType>::int_reg Ri;
Data<R> data1, data2, data3;
data1 *= 1.1;
data2 += 10;
R a1 = data1, a2 = data2, a3 = data3;
Data<Ri> resB = v_round(a1),
resC = v_trunc(a1),
resD = v_floor(a1),
resE = v_ceil(a1);
Data<R> resF = v_magnitude(a1, a2),
resG = v_sqr_magnitude(a1, a2),
resH = v_muladd(a1, a2, a3);
for (int i = 0; i < R::nlanes; ++i)
{
EXPECT_EQ(cvRound(data1[i]), resB[i]);
EXPECT_EQ((typename Ri::lane_type)data1[i], resC[i]);
EXPECT_EQ(cvFloor(data1[i]), resD[i]);
EXPECT_EQ(cvCeil(data1[i]), resE[i]);
EXPECT_COMPARE_EQ(std::sqrt(data1[i]*data1[i] + data2[i]*data2[i]), resF[i]);
EXPECT_COMPARE_EQ(data1[i]*data1[i] + data2[i]*data2[i], resG[i]);
EXPECT_COMPARE_EQ(data1[i]*data2[i] + data3[i], resH[i]);
}
return *this;
}
void exp64f( const double *_x, double *y, int n )
{
CV_INSTRUMENT_REGION();
const double* const expTab = cv::details::getExpTab64f();
const double
A5 = .99999999999999999998285227504999 / EXPPOLY_32F_A0,
A4 = .69314718055994546743029643825322 / EXPPOLY_32F_A0,
A3 = .24022650695886477918181338054308 / EXPPOLY_32F_A0,
A2 = .55504108793649567998466049042729e-1 / EXPPOLY_32F_A0,
A1 = .96180973140732918010002372686186e-2 / EXPPOLY_32F_A0,
A0 = .13369713757180123244806654839424e-2 / EXPPOLY_32F_A0;
int i = 0;
const Cv64suf* x = (const Cv64suf*)_x;
double minval = (-exp_max_val/exp_prescale);
double maxval = (exp_max_val/exp_prescale);
#if CV_SIMD_64F
const int VECSZ = v_float64::nlanes;
const v_float64 vprescale = vx_setall_f64(exp_prescale);
const v_float64 vpostscale = vx_setall_f64(exp_postscale);
const v_float64 vminval = vx_setall_f64(minval);
const v_float64 vmaxval = vx_setall_f64(maxval);
const v_float64 vA1 = vx_setall_f64(A1);
const v_float64 vA2 = vx_setall_f64(A2);
const v_float64 vA3 = vx_setall_f64(A3);
const v_float64 vA4 = vx_setall_f64(A4);
const v_float64 vA5 = vx_setall_f64(A5);
const v_int32 vidxmask = vx_setall_s32(EXPTAB_MASK);
bool y_aligned = (size_t)(void*)y % 32 == 0;
for( ; i < n; i += VECSZ*2 )
{
if( i + VECSZ*2 > n )
{
if( i == 0 || _x == y )
break;
i = n - VECSZ*2;
y_aligned = false;
}
v_float64 xf0 = vx_load(&x[i].f), xf1 = vx_load(&x[i + VECSZ].f);
xf0 = v_min(v_max(xf0, vminval), vmaxval);
xf1 = v_min(v_max(xf1, vminval), vmaxval);
xf0 *= vprescale;
xf1 *= vprescale;
v_int32 xi0 = v_round(xf0);
v_int32 xi1 = v_round(xf1);
xf0 = (xf0 - v_cvt_f64(xi0))*vpostscale;
xf1 = (xf1 - v_cvt_f64(xi1))*vpostscale;
v_float64 yf0 = v_lut(expTab, xi0 & vidxmask);
v_float64 yf1 = v_lut(expTab, xi1 & vidxmask);
v_int32 v0 = vx_setzero_s32(), v1023 = vx_setall_s32(1023), v2047 = vx_setall_s32(2047);
xi0 = v_min(v_max(v_shr<EXPTAB_SCALE>(xi0) + v1023, v0), v2047);
xi1 = v_min(v_max(v_shr<EXPTAB_SCALE>(xi1) + v1023, v0), v2047);
v_int64 xq0, xq1, dummy;
v_expand(xi0, xq0, dummy);
v_expand(xi1, xq1, dummy);
yf0 *= v_reinterpret_as_f64(v_shl<52>(xq0));
yf1 *= v_reinterpret_as_f64(v_shl<52>(xq1));
v_float64 zf0 = xf0 + vA1;
v_float64 zf1 = xf1 + vA1;
zf0 = v_fma(zf0, xf0, vA2);
zf1 = v_fma(zf1, xf1, vA2);
zf0 = v_fma(zf0, xf0, vA3);
zf1 = v_fma(zf1, xf1, vA3);
zf0 = v_fma(zf0, xf0, vA4);
zf1 = v_fma(zf1, xf1, vA4);
zf0 = v_fma(zf0, xf0, vA5);
zf1 = v_fma(zf1, xf1, vA5);
zf0 *= yf0;
zf1 *= yf1;
if( y_aligned )
{
v_store_aligned(y + i, zf0);
v_store_aligned(y + i + VECSZ, zf1);
}
else
{
v_store(y + i, zf0);
v_store(y + i + VECSZ, zf1);
}
}
vx_cleanup();
#endif
for( ; i < n; i++ )
{
double x0 = x[i].f;
x0 = std::min(std::max(x0, minval), maxval);
x0 *= exp_prescale;
Cv64suf buf;
int xi = saturate_cast<int>(x0);
x0 = (x0 - xi)*exp_postscale;
int t = (xi >> EXPTAB_SCALE) + 1023;
t = !(t & ~2047) ? t : t < 0 ? 0 : 2047;
buf.i = (int64)t << 52;
y[i] = buf.f * expTab[xi & EXPTAB_MASK] * (((((A0*x0 + A1)*x0 + A2)*x0 + A3)*x0 + A4)*x0 + A5);
}
}
void exp32f( const float *_x, float *y, int n )
{
CV_INSTRUMENT_REGION();
const float* const expTab_f = cv::details::getExpTab32f();
const float
A4 = (float)(1.000000000000002438532970795181890933776 / EXPPOLY_32F_A0),
A3 = (float)(.6931471805521448196800669615864773144641 / EXPPOLY_32F_A0),
A2 = (float)(.2402265109513301490103372422686535526573 / EXPPOLY_32F_A0),
A1 = (float)(.5550339366753125211915322047004666939128e-1 / EXPPOLY_32F_A0);
int i = 0;
const Cv32suf* x = (const Cv32suf*)_x;
float minval = (float)(-exp_max_val/exp_prescale);
float maxval = (float)(exp_max_val/exp_prescale);
float postscale = (float)exp_postscale;
#if CV_SIMD
const int VECSZ = v_float32::nlanes;
const v_float32 vprescale = vx_setall_f32((float)exp_prescale);
const v_float32 vpostscale = vx_setall_f32((float)exp_postscale);
const v_float32 vminval = vx_setall_f32(minval);
const v_float32 vmaxval = vx_setall_f32(maxval);
const v_float32 vA1 = vx_setall_f32((float)A1);
const v_float32 vA2 = vx_setall_f32((float)A2);
const v_float32 vA3 = vx_setall_f32((float)A3);
const v_float32 vA4 = vx_setall_f32((float)A4);
const v_int32 vidxmask = vx_setall_s32(EXPTAB_MASK);
bool y_aligned = (size_t)(void*)y % 32 == 0;
for( ; i < n; i += VECSZ*2 )
{
if( i + VECSZ*2 > n )
{
if( i == 0 || _x == y )
break;
i = n - VECSZ*2;
y_aligned = false;
}
v_float32 xf0 = vx_load(&x[i].f), xf1 = vx_load(&x[i + VECSZ].f);
xf0 = v_min(v_max(xf0, vminval), vmaxval);
xf1 = v_min(v_max(xf1, vminval), vmaxval);
xf0 *= vprescale;
xf1 *= vprescale;
v_int32 xi0 = v_round(xf0);
v_int32 xi1 = v_round(xf1);
xf0 = (xf0 - v_cvt_f32(xi0))*vpostscale;
xf1 = (xf1 - v_cvt_f32(xi1))*vpostscale;
v_float32 yf0 = v_lut(expTab_f, xi0 & vidxmask);
v_float32 yf1 = v_lut(expTab_f, xi1 & vidxmask);
v_int32 v0 = vx_setzero_s32(), v127 = vx_setall_s32(127), v255 = vx_setall_s32(255);
xi0 = v_min(v_max(v_shr<EXPTAB_SCALE>(xi0) + v127, v0), v255);
xi1 = v_min(v_max(v_shr<EXPTAB_SCALE>(xi1) + v127, v0), v255);
yf0 *= v_reinterpret_as_f32(v_shl<23>(xi0));
yf1 *= v_reinterpret_as_f32(v_shl<23>(xi1));
v_float32 zf0 = xf0 + vA1;
v_float32 zf1 = xf1 + vA1;
zf0 = v_fma(zf0, xf0, vA2);
zf1 = v_fma(zf1, xf1, vA2);
zf0 = v_fma(zf0, xf0, vA3);
zf1 = v_fma(zf1, xf1, vA3);
zf0 = v_fma(zf0, xf0, vA4);
zf1 = v_fma(zf1, xf1, vA4);
zf0 *= yf0;
zf1 *= yf1;
if( y_aligned )
{
v_store_aligned(y + i, zf0);
v_store_aligned(y + i + VECSZ, zf1);
}
else
{
v_store(y + i, zf0);
v_store(y + i + VECSZ, zf1);
}
}
vx_cleanup();
#endif
for( ; i < n; i++ )
{
float x0 = x[i].f;
x0 = std::min(std::max(x0, minval), maxval);
x0 *= (float)exp_prescale;
Cv32suf buf;
int xi = saturate_cast<int>(x0);
x0 = (x0 - xi)*postscale;
int t = (xi >> EXPTAB_SCALE) + 127;
t = !(t & ~255) ? t : t < 0 ? 0 : 255;
buf.i = t << 23;
y[i] = buf.f * expTab_f[xi & EXPTAB_MASK] * ((((x0 + A1)*x0 + A2)*x0 + A3)*x0 + A4);
}
}
