/* * Copyright 2010-2015 Branimir Karadzic. All rights reserved. * License: http://www.opensource.org/licenses/BSD-2-Clause */ #ifndef BX_FLOAT4_NI_H_HEADER_GUARD #define BX_FLOAT4_NI_H_HEADER_GUARD namespace bx { BX_FLOAT4_INLINE float4_t float4_rcp_ni(float4_t _a); BX_FLOAT4_INLINE float4_t float4_shuf_xAzC_ni(float4_t _a, float4_t _b) { const float4_t xAyB = float4_shuf_xAyB(_a, _b); const float4_t zCwD = float4_shuf_zCwD(_a, _b); const float4_t result = float4_shuf_xyAB(xAyB, zCwD); return result; } BX_FLOAT4_INLINE float4_t float4_shuf_yBwD_ni(float4_t _a, float4_t _b) { const float4_t xAyB = float4_shuf_xAyB(_a, _b); const float4_t zCwD = float4_shuf_zCwD(_a, _b); const float4_t result = float4_shuf_zwCD(xAyB, zCwD); return result; } BX_FLOAT4_INLINE float4_t float4_madd_ni(float4_t _a, float4_t _b, float4_t _c) { const float4_t mul = float4_mul(_a, _b); const float4_t result = float4_add(mul, _c); return result; } BX_FLOAT4_INLINE float4_t float4_nmsub_ni(float4_t _a, float4_t _b, float4_t _c) { const float4_t mul = float4_mul(_a, _b); const float4_t result = float4_sub(_c, mul); return result; } BX_FLOAT4_INLINE float4_t float4_div_nr_ni(float4_t _a, float4_t _b) { const float4_t oneish = float4_isplat(0x3f800001); const float4_t est = float4_rcp_est(_b); const float4_t iter0 = float4_mul(_a, est); const float4_t tmp1 = float4_nmsub(_b, est, oneish); const float4_t result = float4_madd(tmp1, iter0, iter0); return result; } BX_FLOAT4_INLINE float4_t float4_rcp_ni(float4_t _a) { const float4_t one = float4_splat(1.0f); const float4_t result = float4_div(one, _a); return result; } BX_FLOAT4_INLINE float4_t float4_orx_ni(float4_t _a) { const float4_t zwxy = float4_swiz_zwxy(_a); const float4_t tmp0 = float4_or(_a, zwxy); const float4_t tmp1 = float4_swiz_yyyy(_a); const float4_t tmp2 = float4_or(tmp0, tmp1); const float4_t mf000 = float4_ild(UINT32_MAX, 0, 0, 0); const float4_t result = float4_and(tmp2, mf000); return result; } BX_FLOAT4_INLINE float4_t float4_orc_ni(float4_t _a, float4_t _b) { const float4_t aorb = float4_or(_a, _b); const float4_t mffff = float4_isplat(UINT32_MAX); const float4_t result = float4_xor(aorb, mffff); return result; } BX_FLOAT4_INLINE float4_t float4_neg_ni(float4_t _a) { const float4_t zero = float4_zero(); const float4_t result = float4_sub(zero, _a); return result; } BX_FLOAT4_INLINE float4_t float4_selb_ni(float4_t _mask, float4_t _a, float4_t _b) { const float4_t sel_a = float4_and(_a, _mask); const float4_t sel_b = float4_andc(_b, _mask); const float4_t result = float4_or(sel_a, sel_b); return result; } BX_FLOAT4_INLINE float4_t float4_sels_ni(float4_t _test, float4_t _a, float4_t _b) { const float4_t mask = float4_sra(_test, 31); const float4_t result = float4_selb(mask, _a, _b); return result; } BX_FLOAT4_INLINE float4_t float4_not_ni(float4_t _a) { const float4_t mffff = float4_isplat(UINT32_MAX); const float4_t result = float4_xor(_a, mffff); return result; } BX_FLOAT4_INLINE float4_t float4_min_ni(float4_t _a, float4_t _b) { const float4_t mask = float4_cmplt(_a, _b); const float4_t result = float4_selb(mask, _a, _b); return result; } BX_FLOAT4_INLINE float4_t float4_max_ni(float4_t _a, float4_t _b) { const float4_t mask = float4_cmpgt(_a, _b); const float4_t result = float4_selb(mask, _a, _b); return result; } BX_FLOAT4_INLINE float4_t float4_abs_ni(float4_t _a) { const float4_t a_neg = float4_neg(_a); const float4_t result = float4_max(a_neg, _a); return result; } BX_FLOAT4_INLINE float4_t float4_imin_ni(float4_t _a, float4_t _b) { const float4_t mask = float4_icmplt(_a, _b); const float4_t result = float4_selb(mask, _a, _b); return result; } BX_FLOAT4_INLINE float4_t float4_imax_ni(float4_t _a, float4_t _b) { const float4_t mask = float4_icmpgt(_a, _b); const float4_t result = float4_selb(mask, _a, _b); return result; } BX_FLOAT4_INLINE float4_t float4_clamp_ni(float4_t _a, float4_t _min, float4_t _max) { const float4_t tmp = float4_min(_a, _max); const float4_t result = float4_max(tmp, _min); return result; } BX_FLOAT4_INLINE float4_t float4_lerp_ni(float4_t _a, float4_t _b, float4_t _s) { const float4_t ba = float4_sub(_b, _a); const float4_t result = float4_madd(_s, ba, _a); return result; } BX_FLOAT4_INLINE float4_t float4_sqrt_nr_ni(float4_t _a) { const float4_t half = float4_splat(0.5f); const float4_t one = float4_splat(1.0f); const float4_t zero = float4_zero(); const float4_t tmp0 = float4_rsqrt_est(_a); const float4_t tmp1 = float4_madd(tmp0, _a, zero); const float4_t tmp2 = float4_madd(tmp1, half, zero); const float4_t tmp3 = float4_nmsub(tmp0, tmp1, one); const float4_t result = float4_madd(tmp3, tmp2, tmp1); return result; } BX_FLOAT4_INLINE float4_t float4_rsqrt_ni(float4_t _a) { const float4_t one = float4_splat(1.0f); const float4_t sqrt = float4_sqrt(_a); const float4_t result = float4_div(one, sqrt); return result; } BX_FLOAT4_INLINE float4_t float4_rsqrt_nr_ni(float4_t _a) { const float4_t rsqrt = float4_rsqrt_est(_a); const float4_t iter0 = float4_mul(_a, rsqrt); const float4_t iter1 = float4_mul(iter0, rsqrt); const float4_t half = float4_splat(0.5f); const float4_t half_rsqrt = float4_mul(half, rsqrt); const float4_t three = float4_splat(3.0f); const float4_t three_sub_iter1 = float4_sub(three, iter1); const float4_t result = float4_mul(half_rsqrt, three_sub_iter1); return result; } BX_FLOAT4_INLINE float4_t float4_rsqrt_carmack_ni(float4_t _a) { const float4_t half = float4_splat(0.5f); const float4_t ah = float4_mul(half, _a); const float4_t ashift = float4_sra(_a, 1); const float4_t magic = float4_isplat(0x5f3759df); const float4_t msuba = float4_isub(magic, ashift); const float4_t msubasq = float4_mul(msuba, msuba); const float4_t tmp0 = float4_splat(1.5f); const float4_t tmp1 = float4_mul(ah, msubasq); const float4_t tmp2 = float4_sub(tmp0, tmp1); const float4_t result = float4_mul(msuba, tmp2); return result; } namespace float4_logexp_detail { BX_FLOAT4_INLINE float4_t float4_poly1(float4_t _a, float _b, float _c) { const float4_t bbbb = float4_splat(_b); const float4_t cccc = float4_splat(_c); const float4_t result = float4_madd(cccc, _a, bbbb); return result; } BX_FLOAT4_INLINE float4_t float4_poly2(float4_t _a, float _b, float _c, float _d) { const float4_t bbbb = float4_splat(_b); const float4_t poly = float4_poly1(_a, _c, _d); const float4_t result = float4_madd(poly, _a, bbbb); return result; } BX_FLOAT4_INLINE float4_t float4_poly3(float4_t _a, float _b, float _c, float _d, float _e) { const float4_t bbbb = float4_splat(_b); const float4_t poly = float4_poly2(_a, _c, _d, _e); const float4_t result = float4_madd(poly, _a, bbbb); return result; } BX_FLOAT4_INLINE float4_t float4_poly4(float4_t _a, float _b, float _c, float _d, float _e, float _f) { const float4_t bbbb = float4_splat(_b); const float4_t poly = float4_poly3(_a, _c, _d, _e, _f); const float4_t result = float4_madd(poly, _a, bbbb); return result; } BX_FLOAT4_INLINE float4_t float4_poly5(float4_t _a, float _b, float _c, float _d, float _e, float _f, float _g) { const float4_t bbbb = float4_splat(_b); const float4_t poly = float4_poly4(_a, _c, _d, _e, _f, _g); const float4_t result = float4_madd(poly, _a, bbbb); return result; } BX_FLOAT4_INLINE float4_t float4_logpoly(float4_t _a) { #if 1 const float4_t result = float4_poly5(_a , 3.11578814719469302614f, -3.32419399085241980044f , 2.59883907202499966007f, -1.23152682416275988241f , 0.318212422185251071475f, -0.0344359067839062357313f ); #elif 0 const float4_t result = float4_poly4(_a , 2.8882704548164776201f, -2.52074962577807006663f , 1.48116647521213171641f, -0.465725644288844778798f , 0.0596515482674574969533f ); #elif 0 const float4_t result = float4_poly3(_a , 2.61761038894603480148f, -1.75647175389045657003f , 0.688243882994381274313f, -0.107254423828329604454f ); #else const float4_t result = float4_poly2(_a , 2.28330284476918490682f, -1.04913055217340124191f , 0.204446009836232697516f ); #endif return result; } BX_FLOAT4_INLINE float4_t float4_exppoly(float4_t _a) { #if 1 const float4_t result = float4_poly5(_a , 9.9999994e-1f, 6.9315308e-1f , 2.4015361e-1f, 5.5826318e-2f , 8.9893397e-3f, 1.8775767e-3f ); #elif 0 const float4_t result = float4_poly4(_a , 1.0000026f, 6.9300383e-1f , 2.4144275e-1f, 5.2011464e-2f , 1.3534167e-2f ); #elif 0 const float4_t result = float4_poly3(_a , 9.9992520e-1f, 6.9583356e-1f , 2.2606716e-1f, 7.8024521e-2f ); #else const float4_t result = float4_poly2(_a , 1.0017247f, 6.5763628e-1f , 3.3718944e-1f ); #endif // 0 return result; } } // namespace float4_internal BX_FLOAT4_INLINE float4_t float4_log2_ni(float4_t _a) { const float4_t expmask = float4_isplat(0x7f800000); const float4_t mantmask = float4_isplat(0x007fffff); const float4_t one = float4_splat(1.0f); const float4_t c127 = float4_isplat(127); const float4_t aexp = float4_and(_a, expmask); const float4_t aexpsr = float4_srl(aexp, 23); const float4_t tmp0 = float4_isub(aexpsr, c127); const float4_t exp = float4_itof(tmp0); const float4_t amask = float4_and(_a, mantmask); const float4_t mant = float4_or(amask, one); const float4_t poly = float4_logexp_detail::float4_logpoly(mant); const float4_t mandiff = float4_sub(mant, one); const float4_t result = float4_madd(poly, mandiff, exp); return result; } BX_FLOAT4_INLINE float4_t float4_exp2_ni(float4_t _a) { const float4_t min = float4_splat( 129.0f); const float4_t max = float4_splat(-126.99999f); const float4_t tmp0 = float4_min(_a, min); const float4_t aaaa = float4_max(tmp0, max); const float4_t half = float4_splat(0.5f); const float4_t tmp2 = float4_sub(aaaa, half); const float4_t ipart = float4_ftoi(tmp2); const float4_t iround = float4_itof(ipart); const float4_t fpart = float4_sub(aaaa, iround); const float4_t c127 = float4_isplat(127); const float4_t tmp5 = float4_iadd(ipart, c127); const float4_t expipart = float4_sll(tmp5, 23); const float4_t expfpart = float4_logexp_detail::float4_exppoly(fpart); const float4_t result = float4_mul(expipart, expfpart); return result; } BX_FLOAT4_INLINE float4_t float4_pow_ni(float4_t _a, float4_t _b) { const float4_t alog2 = float4_log2(_a); const float4_t alog2b = float4_mul(alog2, _b); const float4_t result = float4_exp2(alog2b); return result; } BX_FLOAT4_INLINE float4_t float4_dot3_ni(float4_t _a, float4_t _b) { const float4_t xyzw = float4_mul(_a, _b); const float4_t xxxx = float4_swiz_xxxx(xyzw); const float4_t yyyy = float4_swiz_yyyy(xyzw); const float4_t zzzz = float4_swiz_zzzz(xyzw); const float4_t tmp1 = float4_add(xxxx, yyyy); const float4_t result = float4_add(zzzz, tmp1); return result; } BX_FLOAT4_INLINE float4_t float4_cross3_ni(float4_t _a, float4_t _b) { // a.yzx * b.zxy - a.zxy * b.yzx == (a * b.yzx - a.yzx * b).yzx #if 0 const float4_t a_yzxw = float4_swiz_yzxw(_a); const float4_t a_zxyw = float4_swiz_zxyw(_a); const float4_t b_zxyw = float4_swiz_zxyw(_b); const float4_t b_yzxw = float4_swiz_yzxw(_b); const float4_t tmp = float4_mul(a_yzxw, b_zxyw); const float4_t result = float4_nmsub(a_zxyw, b_yzxw, tmp); #else const float4_t a_yzxw = float4_swiz_yzxw(_a); const float4_t b_yzxw = float4_swiz_yzxw(_b); const float4_t tmp0 = float4_mul(_a, b_yzxw); const float4_t tmp1 = float4_nmsub(a_yzxw, _b, tmp0); const float4_t result = float4_swiz_yzxw(tmp1); #endif return result; } BX_FLOAT4_INLINE float4_t float4_normalize3_ni(float4_t _a) { const float4_t dot3 = float4_dot3(_a, _a); const float4_t invSqrt = float4_rsqrt(dot3); const float4_t result = float4_mul(_a, invSqrt); return result; } BX_FLOAT4_INLINE float4_t float4_dot_ni(float4_t _a, float4_t _b) { const float4_t xyzw = float4_mul(_a, _b); const float4_t yzwx = float4_swiz_yzwx(xyzw); const float4_t tmp0 = float4_add(xyzw, yzwx); const float4_t zwxy = float4_swiz_zwxy(tmp0); const float4_t result = float4_add(tmp0, zwxy); return result; } BX_FLOAT4_INLINE float4_t float4_ceil_ni(float4_t _a) { const float4_t tmp0 = float4_ftoi(_a); const float4_t tmp1 = float4_itof(tmp0); const float4_t mask = float4_cmplt(tmp1, _a); const float4_t one = float4_splat(1.0f); const float4_t tmp2 = float4_and(one, mask); const float4_t result = float4_add(tmp1, tmp2); return result; } BX_FLOAT4_INLINE float4_t float4_floor_ni(float4_t _a) { const float4_t tmp0 = float4_ftoi(_a); const float4_t tmp1 = float4_itof(tmp0); const float4_t mask = float4_cmpgt(tmp1, _a); const float4_t one = float4_splat(1.0f); const float4_t tmp2 = float4_and(one, mask); const float4_t result = float4_sub(tmp1, tmp2); return result; } BX_FLOAT4_INLINE bool float4_test_any_ni(float4_t _a) { const float4_t mask = float4_sra(_a, 31); const float4_t zwxy = float4_swiz_zwxy(mask); const float4_t tmp0 = float4_or(mask, zwxy); const float4_t tmp1 = float4_swiz_yyyy(tmp0); const float4_t tmp2 = float4_or(tmp0, tmp1); int res; float4_stx(&res, tmp2); return 0 != res; } BX_FLOAT4_INLINE bool float4_test_all_ni(float4_t _a) { const float4_t bits = float4_sra(_a, 31); const float4_t m1248 = float4_ild(1, 2, 4, 8); const float4_t mask = float4_and(bits, m1248); const float4_t zwxy = float4_swiz_zwxy(mask); const float4_t tmp0 = float4_or(mask, zwxy); const float4_t tmp1 = float4_swiz_yyyy(tmp0); const float4_t tmp2 = float4_or(tmp0, tmp1); int res; float4_stx(&res, tmp2); return 0xf == res; } } // namespace bx #endif // BX_FLOAT4_NI_H_HEADER_GUARD