1 /**
2 * SSE intrinsics.
3 * https://www.intel.com/content/www/us/en/docs/intrinsics-guide/index.html#techs=SSE
4 * 
5 * Copyright: Copyright Guillaume Piolat 2016-2020.
6 * License:   $(LINK2 http://www.boost.org/LICENSE_1_0.txt, Boost License 1.0)
7 */
8 module inteli.xmmintrin;
9 
10 public import inteli.types;
11 
12 import inteli.internals;
13 
14 import inteli.mmx;
15 import inteli.emmintrin;
16 
17 import core.stdc.stdlib: malloc, free;
18 import core.stdc.string: memcpy;
19 import core.exception: onOutOfMemoryError;
20 
21 version(D_InlineAsm_X86)
22     version = InlineX86Asm;
23 else version(D_InlineAsm_X86_64)
24     version = InlineX86Asm;
25 
26 
27 // SSE1
28 
29 nothrow @nogc:
30 
31 
32 enum int _MM_EXCEPT_INVALID    = 0x0001; /// MXCSR Exception states.
33 enum int _MM_EXCEPT_DENORM     = 0x0002; ///ditto
34 enum int _MM_EXCEPT_DIV_ZERO   = 0x0004; ///ditto
35 enum int _MM_EXCEPT_OVERFLOW   = 0x0008; ///ditto
36 enum int _MM_EXCEPT_UNDERFLOW  = 0x0010; ///ditto
37 enum int _MM_EXCEPT_INEXACT    = 0x0020; ///ditto
38 enum int _MM_EXCEPT_MASK       = 0x003f; /// MXCSR Exception states mask.
39 
40 enum int _MM_MASK_INVALID      = 0x0080; /// MXCSR Exception masks.
41 enum int _MM_MASK_DENORM       = 0x0100; ///ditto
42 enum int _MM_MASK_DIV_ZERO     = 0x0200; ///ditto
43 enum int _MM_MASK_OVERFLOW     = 0x0400; ///ditto
44 enum int _MM_MASK_UNDERFLOW    = 0x0800; ///ditto
45 enum int _MM_MASK_INEXACT      = 0x1000; ///ditto
46 enum int _MM_MASK_MASK         = 0x1f80; /// MXCSR Exception masks mask.
47 
48 enum int _MM_ROUND_NEAREST     = 0x0000; /// MXCSR Rounding mode.
49 enum int _MM_ROUND_DOWN        = 0x2000; ///ditto
50 enum int _MM_ROUND_UP          = 0x4000; ///ditto
51 enum int _MM_ROUND_TOWARD_ZERO = 0x6000; ///ditto
52 enum int _MM_ROUND_MASK        = 0x6000; /// MXCSR Rounding mode mask.
53 
54 enum int _MM_FLUSH_ZERO_MASK   = 0x8000; /// MXCSR Denormal flush to zero mask.
55 enum int _MM_FLUSH_ZERO_ON     = 0x8000; /// MXCSR Denormal flush to zero modes.
56 enum int _MM_FLUSH_ZERO_OFF    = 0x0000; ///ditto
57 
58 /// Add packed single-precision (32-bit) floating-point elements in `a` and `b`.
59 __m128 _mm_add_ps(__m128 a, __m128 b) pure @safe
60 {
61     pragma(inline, true);
62     return a + b;
63 }
64 unittest
65 {
66     __m128 a = [1, 2, 3, 4];
67     a = _mm_add_ps(a, a);
68     assert(a.array[0] == 2);
69     assert(a.array[1] == 4);
70     assert(a.array[2] == 6);
71     assert(a.array[3] == 8);
72 }
73 
74 /// Add the lower single-precision (32-bit) floating-point element 
75 /// in `a` and `b`, store the result in the lower element of result, 
76 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
77 __m128 _mm_add_ss(__m128 a, __m128 b) pure @safe
78 {
79     static if (GDC_with_SSE)
80     {
81         return __builtin_ia32_addss(a, b);
82     }
83     else static if (DMD_with_DSIMD)
84     {
85         return cast(__m128) __simd(XMM.ADDSS, a, b);
86     }
87     else
88     {
89         a[0] += b[0];
90         return a;
91     }
92 }
93 unittest
94 {
95     __m128 a = [1, 2, 3, 4];
96     a = _mm_add_ss(a, a);
97     assert(a.array == [2.0f, 2, 3, 4]);
98 }
99 
100 /// Compute the bitwise AND of packed single-precision (32-bit) floating-point elements in `a` and `b`.
101 __m128 _mm_and_ps (__m128 a, __m128 b) pure @safe
102 {
103     pragma(inline, true);
104     return cast(__m128)(cast(__m128i)a & cast(__m128i)b);
105 }
106 unittest
107 {
108     float a = 4.32f;
109     float b = -78.99f;
110     int correct = (*cast(int*)(&a)) & (*cast(int*)(&b));
111     __m128 A = _mm_set_ps(a, b, a, b);
112     __m128 B = _mm_set_ps(b, a, b, a);
113     int4 R = cast(int4)( _mm_and_ps(A, B) );
114     assert(R.array[0] == correct);
115     assert(R.array[1] == correct);
116     assert(R.array[2] == correct);
117     assert(R.array[3] == correct);
118 }
119 
120 /// Compute the bitwise NOT of packed single-precision (32-bit) floating-point elements in `a` and then AND with `b`.
121 __m128 _mm_andnot_ps (__m128 a, __m128 b) pure @safe
122 {
123     static if (DMD_with_DSIMD)
124         return cast(__m128) __simd(XMM.ANDNPS, a, b);
125     else
126         return cast(__m128)( (~cast(__m128i)a) & cast(__m128i)b );
127 }
128 unittest
129 {
130     float a = 4.32f;
131     float b = -78.99f;
132     int correct  = ~(*cast(int*)(&a)) &  (*cast(int*)(&b));
133     int correct2 =  (*cast(int*)(&a)) & ~(*cast(int*)(&b));
134     __m128 A = _mm_set_ps(a, b, a, b);
135     __m128 B = _mm_set_ps(b, a, b, a);
136     int4 R = cast(int4)( _mm_andnot_ps(A, B) );
137     assert(R.array[0] == correct2);
138     assert(R.array[1] == correct);
139     assert(R.array[2] == correct2);
140     assert(R.array[3] == correct);
141 }
142 
143 /// Average packed unsigned 16-bit integers in ``a` and `b`.
144 __m64 _mm_avg_pu16 (__m64 a, __m64 b) pure @safe
145 {
146     return to_m64(_mm_avg_epu16(to_m128i(a), to_m128i(b)));
147 }
148 
149 /// Average packed unsigned 8-bit integers in ``a` and `b`.
150 __m64 _mm_avg_pu8 (__m64 a, __m64 b) pure @safe
151 {
152     return to_m64(_mm_avg_epu8(to_m128i(a), to_m128i(b)));
153 }
154 
155 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b` for equality.
156 __m128 _mm_cmpeq_ps (__m128 a, __m128 b) pure @safe
157 {
158     static if (DMD_with_DSIMD)
159         return cast(__m128) __simd(XMM.CMPPS, a, b, 0);
160     else
161         return cast(__m128) cmpps!(FPComparison.oeq)(a, b);
162 }
163 unittest
164 {
165     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, float.nan);
166     __m128 B = _mm_setr_ps(3.0f, 2.0f, float.nan, float.nan);
167     __m128i R = cast(__m128i) _mm_cmpeq_ps(A, B);
168     int[4] correct = [0, -1, 0, 0];
169     assert(R.array == correct);
170 }
171 
172 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b` for equality, 
173 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
174 __m128 _mm_cmpeq_ss (__m128 a, __m128 b) pure @safe
175 {
176     static if (DMD_with_DSIMD)
177         return cast(__m128) __simd(XMM.CMPSS, a, b, 0);
178     else
179         return cast(__m128) cmpss!(FPComparison.oeq)(a, b);
180 }
181 unittest
182 {
183     __m128 A = _mm_setr_ps(3.0f, 0, 0, 0);
184     __m128 B = _mm_setr_ps(3.0f, float.nan, float.nan, float.nan);
185     __m128 C = _mm_setr_ps(2.0f, float.nan, float.nan, float.nan);
186     __m128 D = _mm_setr_ps(float.nan, float.nan, float.nan, float.nan);
187     __m128 E = _mm_setr_ps(4.0f, float.nan, float.nan, float.nan);
188     __m128i R1 = cast(__m128i) _mm_cmpeq_ss(A, B);
189     __m128i R2 = cast(__m128i) _mm_cmpeq_ss(A, C);
190     __m128i R3 = cast(__m128i) _mm_cmpeq_ss(A, D);
191     __m128i R4 = cast(__m128i) _mm_cmpeq_ss(A, E);
192     int[4] correct1 = [-1, 0, 0, 0];
193     int[4] correct2 = [0, 0, 0, 0];
194     int[4] correct3 = [0, 0, 0, 0];
195     int[4] correct4 = [0, 0, 0, 0];
196     assert(R1.array == correct1 && R2.array == correct2 && R3.array == correct3 && R4.array == correct4);
197 }
198 
199 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b` for greater-than-or-equal.
200 __m128 _mm_cmpge_ps (__m128 a, __m128 b) pure @safe
201 {
202     static if (DMD_with_DSIMD)
203         return cast(__m128) __simd(XMM.CMPPS, b, a, 2);
204     else
205         return cast(__m128) cmpps!(FPComparison.oge)(a, b);
206 }
207 unittest
208 {
209     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, float.nan);
210     __m128 B = _mm_setr_ps(3.0f, 2.0f, 1.0f, float.nan);
211     __m128i R = cast(__m128i) _mm_cmpge_ps(A, B);
212     int[4] correct = [0, -1,-1, 0];
213     assert(R.array == correct);
214 }
215 
216 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b` for greater-than-or-equal, 
217 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
218 __m128 _mm_cmpge_ss (__m128 a, __m128 b) pure @safe
219 {
220     static if (DMD_with_DSIMD)
221     {
222         __m128 c = cast(__m128) __simd(XMM.CMPSS, b, a, 2);
223         a[0] = c[0];
224         return a;
225     }
226     else
227         return cast(__m128) cmpss!(FPComparison.oge)(a, b);
228 }
229 unittest
230 {
231     __m128 A = _mm_setr_ps(3.0f, 0, 0, 0);
232     __m128 B = _mm_setr_ps(3.0f, float.nan, float.nan, float.nan);
233     __m128 C = _mm_setr_ps(2.0f, float.nan, float.nan, float.nan);
234     __m128 D = _mm_setr_ps(float.nan, float.nan, float.nan, float.nan);
235     __m128 E = _mm_setr_ps(4.0f, float.nan, float.nan, float.nan);
236     __m128i R1 = cast(__m128i) _mm_cmpge_ss(A, B);
237     __m128i R2 = cast(__m128i) _mm_cmpge_ss(A, C);
238     __m128i R3 = cast(__m128i) _mm_cmpge_ss(A, D);
239     __m128i R4 = cast(__m128i) _mm_cmpge_ss(A, E);
240     int[4] correct1 = [-1, 0, 0, 0];
241     int[4] correct2 = [-1, 0, 0, 0];
242     int[4] correct3 = [0, 0, 0, 0];
243     int[4] correct4 = [0, 0, 0, 0];
244     assert(R1.array == correct1 && R2.array == correct2 && R3.array == correct3 && R4.array == correct4);
245 }
246 
247 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b` for greater-than.
248 __m128 _mm_cmpgt_ps (__m128 a, __m128 b) pure @safe
249 {
250     static if (DMD_with_DSIMD)
251         return cast(__m128) __simd(XMM.CMPPS, b, a, 1);
252     else
253         return cast(__m128) cmpps!(FPComparison.ogt)(a, b);
254 }
255 unittest
256 {
257     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, float.nan);
258     __m128 B = _mm_setr_ps(3.0f, 2.0f, 1.0f, float.nan);
259     __m128i R = cast(__m128i) _mm_cmpgt_ps(A, B);
260     int[4] correct = [0, 0,-1, 0];
261     assert(R.array == correct);
262 }
263 
264 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b` for greater-than, 
265 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
266 __m128 _mm_cmpgt_ss (__m128 a, __m128 b) pure @safe
267 {
268     static if (DMD_with_DSIMD)
269     {
270         __m128 c = cast(__m128) __simd(XMM.CMPSS, b, a, 1);
271         a[0] = c[0];
272         return a;
273     }
274     else
275         return cast(__m128) cmpss!(FPComparison.ogt)(a, b);
276 }
277 unittest
278 {
279     __m128 A = _mm_setr_ps(3.0f, 0, 0, 0);
280     __m128 B = _mm_setr_ps(3.0f, float.nan, float.nan, float.nan);
281     __m128 C = _mm_setr_ps(2.0f, float.nan, float.nan, float.nan);
282     __m128 D = _mm_setr_ps(float.nan, float.nan, float.nan, float.nan);
283     __m128 E = _mm_setr_ps(4.0f, float.nan, float.nan, float.nan);
284     __m128i R1 = cast(__m128i) _mm_cmpgt_ss(A, B);
285     __m128i R2 = cast(__m128i) _mm_cmpgt_ss(A, C);
286     __m128i R3 = cast(__m128i) _mm_cmpgt_ss(A, D);
287     __m128i R4 = cast(__m128i) _mm_cmpgt_ss(A, E);
288     int[4] correct1 = [0, 0, 0, 0];
289     int[4] correct2 = [-1, 0, 0, 0];
290     int[4] correct3 = [0, 0, 0, 0];
291     int[4] correct4 = [0, 0, 0, 0];
292     assert(R1.array == correct1 && R2.array == correct2 && R3.array == correct3 && R4.array == correct4);
293 }
294 
295 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b` for less-than-or-equal.
296 __m128 _mm_cmple_ps (__m128 a, __m128 b) pure @safe
297 {
298     static if (DMD_with_DSIMD)
299         return cast(__m128) __simd(XMM.CMPPS, a, b, 2);
300     else
301         return cast(__m128) cmpps!(FPComparison.ole)(a, b);
302 }
303 unittest
304 {
305     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, float.nan);
306     __m128 B = _mm_setr_ps(3.0f, 2.0f, 1.0f, float.nan);
307     __m128i R = cast(__m128i) _mm_cmple_ps(A, B);
308     int[4] correct = [-1, -1, 0, 0];
309     assert(R.array == correct);
310 }
311 
312 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b` for less-than-or-equal, 
313 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
314 __m128 _mm_cmple_ss (__m128 a, __m128 b) pure @safe
315 {
316     static if (DMD_with_DSIMD)
317         return cast(__m128) __simd(XMM.CMPSS, a, b, 2);
318     else
319         return cast(__m128) cmpss!(FPComparison.ole)(a, b);
320 }
321 unittest
322 {
323     __m128 A = _mm_setr_ps(3.0f, 0, 0, 0);
324     __m128 B = _mm_setr_ps(3.0f, float.nan, float.nan, float.nan);
325     __m128 C = _mm_setr_ps(2.0f, float.nan, float.nan, float.nan);
326     __m128 D = _mm_setr_ps(float.nan, float.nan, float.nan, float.nan);
327     __m128 E = _mm_setr_ps(4.0f, float.nan, float.nan, float.nan);
328     __m128i R1 = cast(__m128i) _mm_cmple_ss(A, B);
329     __m128i R2 = cast(__m128i) _mm_cmple_ss(A, C);
330     __m128i R3 = cast(__m128i) _mm_cmple_ss(A, D);
331     __m128i R4 = cast(__m128i) _mm_cmple_ss(A, E);
332     int[4] correct1 = [-1, 0, 0, 0];
333     int[4] correct2 = [0, 0, 0, 0];
334     int[4] correct3 = [0, 0, 0, 0];
335     int[4] correct4 = [-1, 0, 0, 0];
336     assert(R1.array == correct1 && R2.array == correct2 && R3.array == correct3 && R4.array == correct4);
337 }
338 
339 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b` for less-than.
340 __m128 _mm_cmplt_ps (__m128 a, __m128 b) pure @safe
341 {
342     static if (DMD_with_DSIMD)
343         return cast(__m128) __simd(XMM.CMPPS, a, b, 1);
344     else
345         return cast(__m128) cmpps!(FPComparison.olt)(a, b);
346 }
347 unittest
348 {
349     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, float.nan);
350     __m128 B = _mm_setr_ps(3.0f, 2.0f, 1.0f, float.nan);
351     __m128i R = cast(__m128i) _mm_cmplt_ps(A, B);
352     int[4] correct = [-1, 0, 0, 0];
353     assert(R.array == correct);
354 }
355 
356 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b` for less-than, 
357 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
358 __m128 _mm_cmplt_ss (__m128 a, __m128 b) pure @safe
359 {
360     static if (DMD_with_DSIMD)
361         return cast(__m128) __simd(XMM.CMPSS, a, b, 1);
362     else
363         return cast(__m128) cmpss!(FPComparison.olt)(a, b);
364 }
365 unittest
366 {
367     __m128 A = _mm_setr_ps(3.0f, 0, 0, 0);
368     __m128 B = _mm_setr_ps(3.0f, float.nan, float.nan, float.nan);
369     __m128 C = _mm_setr_ps(2.0f, float.nan, float.nan, float.nan);
370     __m128 D = _mm_setr_ps(float.nan, float.nan, float.nan, float.nan);
371     __m128 E = _mm_setr_ps(4.0f, float.nan, float.nan, float.nan);
372     __m128i R1 = cast(__m128i) _mm_cmplt_ss(A, B);
373     __m128i R2 = cast(__m128i) _mm_cmplt_ss(A, C);
374     __m128i R3 = cast(__m128i) _mm_cmplt_ss(A, D);
375     __m128i R4 = cast(__m128i) _mm_cmplt_ss(A, E);
376     int[4] correct1 = [0, 0, 0, 0];
377     int[4] correct2 = [0, 0, 0, 0];
378     int[4] correct3 = [0, 0, 0, 0];
379     int[4] correct4 = [-1, 0, 0, 0];
380     assert(R1.array == correct1 && R2.array == correct2 && R3.array == correct3 && R4.array == correct4);
381 }
382 
383 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b` for not-equal.
384 __m128 _mm_cmpneq_ps (__m128 a, __m128 b) pure @safe
385 {
386     static if (DMD_with_DSIMD)
387         return cast(__m128) __simd(XMM.CMPPS, a, b, 4);
388     else
389         return cast(__m128) cmpps!(FPComparison.une)(a, b);
390 }
391 unittest
392 {
393     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, float.nan);
394     __m128 B = _mm_setr_ps(3.0f, 2.0f, 1.0f, float.nan);
395     __m128i R = cast(__m128i) _mm_cmpneq_ps(A, B);
396     int[4] correct = [-1, 0, -1, -1];
397     assert(R.array == correct);
398 }
399 
400 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b` for not-equal, 
401 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
402 __m128 _mm_cmpneq_ss (__m128 a, __m128 b) pure @safe
403 {
404     static if (DMD_with_DSIMD)
405         return cast(__m128) __simd(XMM.CMPSS, a, b, 4);
406     else
407         return cast(__m128) cmpss!(FPComparison.une)(a, b);
408 }
409 unittest
410 {
411     __m128 A = _mm_setr_ps(3.0f, 0, 0, 0);
412     __m128 B = _mm_setr_ps(3.0f, float.nan, float.nan, float.nan);
413     __m128 C = _mm_setr_ps(2.0f, float.nan, float.nan, float.nan);
414     __m128 D = _mm_setr_ps(float.nan, float.nan, float.nan, float.nan);
415     __m128 E = _mm_setr_ps(4.0f, float.nan, float.nan, float.nan);
416     __m128i R1 = cast(__m128i) _mm_cmpneq_ss(A, B);
417     __m128i R2 = cast(__m128i) _mm_cmpneq_ss(A, C);
418     __m128i R3 = cast(__m128i) _mm_cmpneq_ss(A, D);
419     __m128i R4 = cast(__m128i) _mm_cmpneq_ss(A, E);
420     int[4] correct1 = [0, 0, 0, 0];
421     int[4] correct2 = [-1, 0, 0, 0];
422     int[4] correct3 = [-1, 0, 0, 0];
423     int[4] correct4 = [-1, 0, 0, 0];
424     assert(R1.array == correct1 && R2.array == correct2 && R3.array == correct3 && R4.array == correct4);
425 }
426 
427 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b` for not-greater-than-or-equal.
428 __m128 _mm_cmpnge_ps (__m128 a, __m128 b) pure @safe
429 {
430     static if (DMD_with_DSIMD)
431         return cast(__m128) __simd(XMM.CMPPS, b, a, 6);
432     else
433         return cast(__m128) cmpps!(FPComparison.ult)(a, b);
434 }
435 unittest
436 {
437     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, float.nan);
438     __m128 B = _mm_setr_ps(3.0f, 2.0f, 1.0f, float.nan);
439     __m128i R = cast(__m128i) _mm_cmpnge_ps(A, B);
440     int[4] correct = [-1, 0, 0, -1];
441     assert(R.array == correct);
442 }
443 
444 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b` for not-greater-than-or-equal, 
445 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
446 __m128 _mm_cmpnge_ss (__m128 a, __m128 b) pure @safe
447 {
448     static if (DMD_with_DSIMD)
449     {
450         __m128 c = cast(__m128) __simd(XMM.CMPSS, b, a, 6);
451         a[0] = c[0];
452         return a;
453     }
454     else
455         return cast(__m128) cmpss!(FPComparison.ult)(a, b);
456 }
457 unittest
458 {
459     __m128 A = _mm_setr_ps(3.0f, 0, 0, 0);
460     __m128 B = _mm_setr_ps(3.0f, float.nan, float.nan, float.nan);
461     __m128 C = _mm_setr_ps(2.0f, float.nan, float.nan, float.nan);
462     __m128 D = _mm_setr_ps(float.nan, float.nan, float.nan, float.nan);
463     __m128 E = _mm_setr_ps(4.0f, float.nan, float.nan, float.nan);
464     __m128i R1 = cast(__m128i) _mm_cmpnge_ss(A, B);
465     __m128i R2 = cast(__m128i) _mm_cmpnge_ss(A, C);
466     __m128i R3 = cast(__m128i) _mm_cmpnge_ss(A, D);
467     __m128i R4 = cast(__m128i) _mm_cmpnge_ss(A, E);
468     int[4] correct1 = [0, 0, 0, 0];
469     int[4] correct2 = [0, 0, 0, 0];
470     int[4] correct3 = [-1, 0, 0, 0];
471     int[4] correct4 = [-1, 0, 0, 0];
472     assert(R1.array == correct1 && R2.array == correct2 && R3.array == correct3 && R4.array == correct4);
473 }
474 
475 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b` for not-greater-than.
476 __m128 _mm_cmpngt_ps (__m128 a, __m128 b) pure @safe
477 {
478     static if (DMD_with_DSIMD)
479         return cast(__m128) __simd(XMM.CMPPS, b, a, 5);
480     else
481         return cast(__m128) cmpps!(FPComparison.ule)(a, b);
482 }
483 unittest
484 {
485     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, float.nan);
486     __m128 B = _mm_setr_ps(3.0f, 2.0f, 1.0f, float.nan);
487     __m128i R = cast(__m128i) _mm_cmpngt_ps(A, B);
488     int[4] correct = [-1, -1, 0, -1];
489     assert(R.array == correct);
490 }
491 
492 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b` for not-greater-than, 
493 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
494 __m128 _mm_cmpngt_ss (__m128 a, __m128 b) pure @safe
495 {
496     static if (DMD_with_DSIMD)
497     {
498         __m128 c = cast(__m128) __simd(XMM.CMPSS, b, a, 5);
499         a[0] = c[0];
500         return a;
501     }
502     else
503         return cast(__m128) cmpss!(FPComparison.ule)(a, b);
504 }
505 unittest
506 {
507     __m128 A = _mm_setr_ps(3.0f, 0, 0, 0);
508     __m128 B = _mm_setr_ps(3.0f, float.nan, float.nan, float.nan);
509     __m128 C = _mm_setr_ps(2.0f, float.nan, float.nan, float.nan);
510     __m128 D = _mm_setr_ps(float.nan, float.nan, float.nan, float.nan);
511     __m128 E = _mm_setr_ps(4.0f, float.nan, float.nan, float.nan);
512     __m128i R1 = cast(__m128i) _mm_cmpngt_ss(A, B);
513     __m128i R2 = cast(__m128i) _mm_cmpngt_ss(A, C);
514     __m128i R3 = cast(__m128i) _mm_cmpngt_ss(A, D);
515     __m128i R4 = cast(__m128i) _mm_cmpngt_ss(A, E);
516     int[4] correct1 = [-1, 0, 0, 0];
517     int[4] correct2 = [0, 0, 0, 0];
518     int[4] correct3 = [-1, 0, 0, 0];
519     int[4] correct4 = [-1, 0, 0, 0];
520     assert(R1.array == correct1 && R2.array == correct2 && R3.array == correct3 && R4.array == correct4);
521 }
522 
523 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b` for not-less-than-or-equal.
524 __m128 _mm_cmpnle_ps (__m128 a, __m128 b) pure @safe
525 {
526     static if (DMD_with_DSIMD)
527         return cast(__m128) __simd(XMM.CMPPS, a, b, 6);
528     else
529         return cast(__m128) cmpps!(FPComparison.ugt)(a, b);
530 }
531 unittest
532 {
533     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, float.nan);
534     __m128 B = _mm_setr_ps(3.0f, 2.0f, 1.0f, float.nan);
535     __m128i R = cast(__m128i) _mm_cmpnle_ps(A, B);
536     int[4] correct = [0, 0, -1, -1];
537     assert(R.array == correct);
538 }
539 
540 
541 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b` for not-less-than-or-equal, 
542 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
543 __m128 _mm_cmpnle_ss (__m128 a, __m128 b) pure @safe
544 {
545     static if (DMD_with_DSIMD)
546         return cast(__m128) __simd(XMM.CMPSS, a, b, 6);
547     else
548         return cast(__m128) cmpss!(FPComparison.ugt)(a, b);
549 }
550 unittest
551 {
552     __m128 A = _mm_setr_ps(3.0f, 0, 0, 0);
553     __m128 B = _mm_setr_ps(3.0f, float.nan, float.nan, float.nan);
554     __m128 C = _mm_setr_ps(2.0f, float.nan, float.nan, float.nan);
555     __m128 D = _mm_setr_ps(float.nan, float.nan, float.nan, float.nan);
556     __m128 E = _mm_setr_ps(4.0f, float.nan, float.nan, float.nan);
557     __m128i R1 = cast(__m128i) _mm_cmpnle_ss(A, B);
558     __m128i R2 = cast(__m128i) _mm_cmpnle_ss(A, C);
559     __m128i R3 = cast(__m128i) _mm_cmpnle_ss(A, D);
560     __m128i R4 = cast(__m128i) _mm_cmpnle_ss(A, E);
561     int[4] correct1 = [0, 0, 0, 0];
562     int[4] correct2 = [-1, 0, 0, 0];
563     int[4] correct3 = [-1, 0, 0, 0];
564     int[4] correct4 = [0, 0, 0, 0];
565     assert(R1.array == correct1 && R2.array == correct2 && R3.array == correct3 && R4.array == correct4);
566 }
567 
568 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b` for not-less-than.
569 __m128 _mm_cmpnlt_ps (__m128 a, __m128 b) pure @safe
570 {
571     static if (DMD_with_DSIMD)
572         return cast(__m128) __simd(XMM.CMPPS, a, b, 5);
573     else
574         return cast(__m128) cmpps!(FPComparison.uge)(a, b);
575 }
576 unittest
577 {
578     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, float.nan);
579     __m128 B = _mm_setr_ps(3.0f, 2.0f, 1.0f, float.nan);
580     __m128i R = cast(__m128i) _mm_cmpnlt_ps(A, B);
581     int[4] correct = [0, -1, -1, -1];
582     assert(R.array == correct);
583 }
584 
585 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b` for not-less-than, 
586 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
587 __m128 _mm_cmpnlt_ss (__m128 a, __m128 b) pure @safe
588 {
589     static if (DMD_with_DSIMD)
590         return cast(__m128) __simd(XMM.CMPSS, a, b, 5);
591     else
592         return cast(__m128) cmpss!(FPComparison.uge)(a, b);
593 }
594 unittest
595 {
596     __m128 A = _mm_setr_ps(3.0f, 0, 0, 0);
597     __m128 B = _mm_setr_ps(3.0f, float.nan, float.nan, float.nan);
598     __m128 C = _mm_setr_ps(2.0f, float.nan, float.nan, float.nan);
599     __m128 D = _mm_setr_ps(float.nan, float.nan, float.nan, float.nan);
600     __m128 E = _mm_setr_ps(4.0f, float.nan, float.nan, float.nan);
601     __m128i R1 = cast(__m128i) _mm_cmpnlt_ss(A, B);
602     __m128i R2 = cast(__m128i) _mm_cmpnlt_ss(A, C);
603     __m128i R3 = cast(__m128i) _mm_cmpnlt_ss(A, D);
604     __m128i R4 = cast(__m128i) _mm_cmpnlt_ss(A, E);
605     int[4] correct1 = [-1, 0, 0, 0];
606     int[4] correct2 = [-1, 0, 0, 0];
607     int[4] correct3 = [-1, 0, 0, 0];
608     int[4] correct4 = [0, 0, 0, 0];
609     assert(R1.array == correct1 && R2.array == correct2 && R3.array == correct3 && R4.array == correct4);
610 }
611 
612 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b` to see if neither is NaN.
613 __m128 _mm_cmpord_ps (__m128 a, __m128 b) pure @safe
614 {
615     static if (DMD_with_DSIMD)
616         return cast(__m128) __simd(XMM.CMPPS, a, b, 7);
617     else
618         return cast(__m128) cmpps!(FPComparison.ord)(a, b);
619 }
620 unittest
621 {
622     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, float.nan);
623     __m128 B = _mm_setr_ps(3.0f, 2.0f, 1.0f, float.nan);
624     __m128i R = cast(__m128i) _mm_cmpord_ps(A, B);
625     int[4] correct = [-1, -1, -1, 0];
626     assert(R.array == correct);
627 }
628 
629 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b` to see if neither is NaN, 
630 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
631 __m128 _mm_cmpord_ss (__m128 a, __m128 b) pure @safe
632 {
633     static if (DMD_with_DSIMD)
634         return cast(__m128) __simd(XMM.CMPSS, a, b, 7);
635     else
636         return cast(__m128) cmpss!(FPComparison.ord)(a, b);
637 }
638 unittest
639 {
640     __m128 A = _mm_setr_ps(3.0f, 0, 0, 0);
641     __m128 B = _mm_setr_ps(3.0f, float.nan, float.nan, float.nan);
642     __m128 C = _mm_setr_ps(2.0f, float.nan, float.nan, float.nan);
643     __m128 D = _mm_setr_ps(float.nan, float.nan, float.nan, float.nan);
644     __m128 E = _mm_setr_ps(4.0f, float.nan, float.nan, float.nan);
645     __m128i R1 = cast(__m128i) _mm_cmpord_ss(A, B);
646     __m128i R2 = cast(__m128i) _mm_cmpord_ss(A, C);
647     __m128i R3 = cast(__m128i) _mm_cmpord_ss(A, D);
648     __m128i R4 = cast(__m128i) _mm_cmpord_ss(A, E);
649     int[4] correct1 = [-1, 0, 0, 0];
650     int[4] correct2 = [-1, 0, 0, 0];
651     int[4] correct3 = [0, 0, 0, 0];
652     int[4] correct4 = [-1, 0, 0, 0];
653     assert(R1.array == correct1 && R2.array == correct2 && R3.array == correct3 && R4.array == correct4);
654 }
655 
656 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b` to see if either is NaN.
657 __m128 _mm_cmpunord_ps (__m128 a, __m128 b) pure @safe
658 {
659     static if (DMD_with_DSIMD)
660         return cast(__m128) __simd(XMM.CMPPS, a, b, 3);
661     else
662         return cast(__m128) cmpps!(FPComparison.uno)(a, b);
663 }
664 unittest
665 {
666     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, float.nan);
667     __m128 B = _mm_setr_ps(3.0f, 2.0f, 1.0f, float.nan);
668     __m128i R = cast(__m128i) _mm_cmpunord_ps(A, B);
669     int[4] correct = [0, 0, 0, -1];
670     assert(R.array == correct);
671 }
672 
673 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b` to see if either is NaN.
674 /// and copy the upper 3 packed elements from `a` to the upper elements of result.
675 __m128 _mm_cmpunord_ss (__m128 a, __m128 b) pure @safe
676 {
677     static if (DMD_with_DSIMD)
678         return cast(__m128) __simd(XMM.CMPSS, a, b, 3);
679     else return cast(__m128) cmpss!(FPComparison.uno)(a, b);
680 }
681 unittest
682 {
683     __m128 A = _mm_setr_ps(3.0f, 0, 0, 0);
684     __m128 B = _mm_setr_ps(3.0f, float.nan, float.nan, float.nan);
685     __m128 C = _mm_setr_ps(2.0f, float.nan, float.nan, float.nan);
686     __m128 D = _mm_setr_ps(float.nan, float.nan, float.nan, float.nan);
687     __m128 E = _mm_setr_ps(4.0f, float.nan, float.nan, float.nan);
688     __m128i R1 = cast(__m128i) _mm_cmpunord_ss(A, B);
689     __m128i R2 = cast(__m128i) _mm_cmpunord_ss(A, C);
690     __m128i R3 = cast(__m128i) _mm_cmpunord_ss(A, D);
691     __m128i R4 = cast(__m128i) _mm_cmpunord_ss(A, E);
692     int[4] correct1 = [0, 0, 0, 0];
693     int[4] correct2 = [0, 0, 0, 0];
694     int[4] correct3 = [-1, 0, 0, 0];
695     int[4] correct4 = [0, 0, 0, 0];
696     assert(R1.array == correct1 && R2.array == correct2 && R3.array == correct3 && R4.array == correct4);
697 }
698 
699 
700 /// Compare the lower single-precision (32-bit) floating-point element in `a` and `b` for equality, 
701 /// and return the boolean result (0 or 1).
702 int _mm_comieq_ss (__m128 a, __m128 b) pure @safe
703 {
704     return a.array[0] == b.array[0];
705 }
706 unittest
707 {
708     assert(1 == _mm_comieq_ss(_mm_set_ss(78.0f), _mm_set_ss(78.0f)));
709     assert(0 == _mm_comieq_ss(_mm_set_ss(78.0f), _mm_set_ss(-78.0f)));
710     assert(0 == _mm_comieq_ss(_mm_set_ss(78.0f), _mm_set_ss(float.nan)));
711     assert(0 == _mm_comieq_ss(_mm_set_ss(float.nan), _mm_set_ss(-4.22f)));
712     assert(1 == _mm_comieq_ss(_mm_set_ss(0.0), _mm_set_ss(-0.0)));
713 }
714 
715 /// Compare the lower single-precision (32-bit) floating-point element in `a` and `b` for greater-than-or-equal, 
716 /// and return the boolean result (0 or 1).
717 int _mm_comige_ss (__m128 a, __m128 b) pure @safe
718 {
719     return a.array[0] >= b.array[0];
720 }
721 unittest
722 {
723     assert(1 == _mm_comige_ss(_mm_set_ss(78.0f), _mm_set_ss(78.0f)));
724     assert(1 == _mm_comige_ss(_mm_set_ss(78.0f), _mm_set_ss(-78.0f)));
725     assert(0 == _mm_comige_ss(_mm_set_ss(-78.0f), _mm_set_ss(78.0f)));
726     assert(0 == _mm_comige_ss(_mm_set_ss(78.0f), _mm_set_ss(float.nan)));
727     assert(0 == _mm_comige_ss(_mm_set_ss(float.nan), _mm_set_ss(-4.22f)));
728     assert(1 == _mm_comige_ss(_mm_set_ss(-0.0f), _mm_set_ss(0.0f)));
729 }
730 
731 /// Compare the lower single-precision (32-bit) floating-point element in `a` and `b` for greater-than, 
732 /// and return the boolean result (0 or 1).
733 int _mm_comigt_ss (__m128 a, __m128 b) pure @safe // comiss + seta
734 {
735     return a.array[0] > b.array[0];
736 }
737 unittest
738 {
739     assert(0 == _mm_comigt_ss(_mm_set_ss(78.0f), _mm_set_ss(78.0f)));
740     assert(1 == _mm_comigt_ss(_mm_set_ss(78.0f), _mm_set_ss(-78.0f)));
741     assert(0 == _mm_comigt_ss(_mm_set_ss(78.0f), _mm_set_ss(float.nan)));
742     assert(0 == _mm_comigt_ss(_mm_set_ss(float.nan), _mm_set_ss(-4.22f)));
743     assert(0 == _mm_comigt_ss(_mm_set_ss(0.0f), _mm_set_ss(-0.0f)));
744 }
745 
746 /// Compare the lower single-precision (32-bit) floating-point element in `a` and `b` for less-than-or-equal, 
747 /// and return the boolean result (0 or 1).
748 int _mm_comile_ss (__m128 a, __m128 b) pure @safe // comiss + setbe
749 {
750     return a.array[0] <= b.array[0];
751 }
752 unittest
753 {
754     assert(1 == _mm_comile_ss(_mm_set_ss(78.0f), _mm_set_ss(78.0f)));
755     assert(0 == _mm_comile_ss(_mm_set_ss(78.0f), _mm_set_ss(-78.0f)));
756     assert(1 == _mm_comile_ss(_mm_set_ss(-78.0f), _mm_set_ss(78.0f)));
757     assert(0 == _mm_comile_ss(_mm_set_ss(78.0f), _mm_set_ss(float.nan)));
758     assert(0 == _mm_comile_ss(_mm_set_ss(float.nan), _mm_set_ss(-4.22f)));
759     assert(1 == _mm_comile_ss(_mm_set_ss(0.0f), _mm_set_ss(-0.0f)));
760 }
761 
762 /// Compare the lower single-precision (32-bit) floating-point element in `a` and `b` for less-than, 
763 /// and return the boolean result (0 or 1).
764 int _mm_comilt_ss (__m128 a, __m128 b) pure @safe // comiss + setb
765 {
766     return a.array[0] < b.array[0];
767 }
768 unittest
769 {
770     assert(0 == _mm_comilt_ss(_mm_set_ss(78.0f), _mm_set_ss(78.0f)));
771     assert(0 == _mm_comilt_ss(_mm_set_ss(78.0f), _mm_set_ss(-78.0f)));
772     assert(1 == _mm_comilt_ss(_mm_set_ss(-78.0f), _mm_set_ss(78.0f)));
773     assert(0 == _mm_comilt_ss(_mm_set_ss(78.0f), _mm_set_ss(float.nan)));
774     assert(0 == _mm_comilt_ss(_mm_set_ss(float.nan), _mm_set_ss(-4.22f)));
775     assert(0 == _mm_comilt_ss(_mm_set_ss(-0.0f), _mm_set_ss(0.0f)));
776 }
777 
778 /// Compare the lower single-precision (32-bit) floating-point element in `a` and `b` for not-equal, 
779 /// and return the boolean result (0 or 1).
780 int _mm_comineq_ss (__m128 a, __m128 b) pure @safe // comiss + setne
781 {
782     return a.array[0] != b.array[0];
783 }
784 unittest
785 {
786     assert(0 == _mm_comineq_ss(_mm_set_ss(78.0f), _mm_set_ss(78.0f)));
787     assert(1 == _mm_comineq_ss(_mm_set_ss(78.0f), _mm_set_ss(-78.0f)));
788     assert(1 == _mm_comineq_ss(_mm_set_ss(78.0f), _mm_set_ss(float.nan)));
789     assert(1 == _mm_comineq_ss(_mm_set_ss(float.nan), _mm_set_ss(-4.22f)));
790     assert(0 == _mm_comineq_ss(_mm_set_ss(0.0f), _mm_set_ss(-0.0f)));
791 }
792 
793 /// Convert packed signed 32-bit integers in `b` to packed single-precision (32-bit) 
794 /// floating-point elements, store the results in the lower 2 elements, 
795 /// and copy the upper 2 packed elements from `a` to the upper elements of result.
796 alias _mm_cvt_pi2ps = _mm_cvtpi32_ps;
797 
798 /// Convert 2 lower packed single-precision (32-bit) floating-point elements in `a` 
799 /// to packed 32-bit integers.
800 __m64 _mm_cvt_ps2pi (__m128 a) @safe
801 {
802     return to_m64(_mm_cvtps_epi32(a));
803 }
804 
805 /// Convert the signed 32-bit integer `b` to a single-precision (32-bit) floating-point element, 
806 /// store the result in the lower element, and copy the upper 3 packed elements from `a` to the 
807 /// upper elements of the result.
808 __m128 _mm_cvt_si2ss (__m128 v, int x) pure @trusted
809 {
810     v.ptr[0] = cast(float)x;
811     return v;
812 }
813 unittest
814 {
815     __m128 a = _mm_cvt_si2ss(_mm_set1_ps(0.0f), 42);
816     assert(a.array == [42f, 0, 0, 0]);
817 }
818 
819 /// Convert packed 16-bit integers in `a` to packed single-precision (32-bit) floating-point elements.
820 __m128 _mm_cvtpi16_ps (__m64 a) pure @safe
821 {
822     __m128i ma = to_m128i(a);
823     ma = _mm_unpacklo_epi16(ma, _mm_setzero_si128()); // Zero-extend to 32-bit
824     ma = _mm_srai_epi32(_mm_slli_epi32(ma, 16), 16); // Replicate sign bit
825     return _mm_cvtepi32_ps(ma);
826 }
827 unittest
828 {
829     __m64 A = _mm_setr_pi16(-1, 2, -3, 4);
830     __m128 R = _mm_cvtpi16_ps(A);
831     float[4] correct = [-1.0f, 2.0f, -3.0f, 4.0f];
832     assert(R.array == correct);
833 }
834 
835 /// Convert packed signed 32-bit integers in `b` to packed single-precision (32-bit) 
836 /// floating-point elements, store the results in the lower 2 elements, 
837 /// and copy the upper 2 packed elements from `a` to the upper elements of result.
838 __m128 _mm_cvtpi32_ps (__m128 a, __m64 b) pure @trusted
839 {
840     __m128 fb = _mm_cvtepi32_ps(to_m128i(b));
841     a.ptr[0] = fb.array[0];
842     a.ptr[1] = fb.array[1];
843     return a;
844 }
845 unittest
846 {
847     __m128 R = _mm_cvtpi32_ps(_mm_set1_ps(4.0f), _mm_setr_pi32(1, 2));
848     float[4] correct = [1.0f, 2.0f, 4.0f, 4.0f];
849     assert(R.array == correct);
850 }
851 
852 /// Convert packed signed 32-bit integers in `a` to packed single-precision (32-bit) floating-point elements, 
853 /// store the results in the lower 2 elements, then covert the packed signed 32-bit integers in `b` to 
854 /// single-precision (32-bit) floating-point element, and store the results in the upper 2 elements.
855 __m128 _mm_cvtpi32x2_ps (__m64 a, __m64 b) pure @trusted
856 {
857     long2 l;
858     l.ptr[0] = a.array[0];
859     l.ptr[1] = b.array[0];
860     return _mm_cvtepi32_ps(cast(__m128i)l);
861 }
862 unittest
863 {
864     __m64 A = _mm_setr_pi32(-45, 128);
865     __m64 B = _mm_setr_pi32(0, 1000);
866     __m128 R = _mm_cvtpi32x2_ps(A, B);
867     float[4] correct = [-45.0f, 128.0f, 0.0f, 1000.0f];
868     assert(R.array == correct);
869 }
870 
871 /// Convert the lower packed 8-bit integers in `a` to packed single-precision (32-bit) floating-point elements.
872 __m128 _mm_cvtpi8_ps (__m64 a) pure @safe
873 {
874     __m128i b = to_m128i(a); 
875 
876     // Zero extend to 32-bit
877     b = _mm_unpacklo_epi8(b, _mm_setzero_si128());
878     b = _mm_unpacklo_epi16(b, _mm_setzero_si128());
879 
880     // Replicate sign bit
881     b = _mm_srai_epi32(_mm_slli_epi32(b, 24), 24); // Replicate sign bit
882     return _mm_cvtepi32_ps(b);
883 }
884 unittest
885 {
886     __m64 A = _mm_setr_pi8(-1, 2, -3, 4, 0, 0, 0, 0);
887     __m128 R = _mm_cvtpi8_ps(A);
888     float[4] correct = [-1.0f, 2.0f, -3.0f, 4.0f];
889     assert(R.array == correct);
890 }
891 
892 /// Convert packed single-precision (32-bit) floating-point elements in `a` to packed 16-bit integers.
893 /// Note: this intrinsic will generate 0x7FFF, rather than 0x8000, for input values between 0x7FFF and 0x7FFFFFFF.
894 __m64 _mm_cvtps_pi16 (__m128 a) @safe
895 {
896     // The C++ version of this intrinsic convert to 32-bit float, then use packssdw
897     // Which means the 16-bit integers should be saturated
898     __m128i b = _mm_cvtps_epi32(a);
899     b = _mm_packs_epi32(b, b);
900     return to_m64(b);
901 }
902 unittest
903 {
904     __m128 A = _mm_setr_ps(-1.0f, 2.0f, -33000.0f, 70000.0f);
905     short4 R = cast(short4) _mm_cvtps_pi16(A);
906     short[4] correct = [-1, 2, -32768, 32767];
907     assert(R.array == correct);
908 }
909 
910 /// Convert packed single-precision (32-bit) floating-point elements in `a` to packed 32-bit integers.
911 __m64 _mm_cvtps_pi32 (__m128 a) @safe
912 {
913     return to_m64(_mm_cvtps_epi32(a));
914 }
915 unittest
916 {
917     __m128 A = _mm_setr_ps(-33000.0f, 70000.0f, -1.0f, 2.0f, );
918     int2 R = cast(int2) _mm_cvtps_pi32(A);
919     int[2] correct = [-33000, 70000];
920     assert(R.array == correct);
921 }
922 
923 /// Convert packed single-precision (32-bit) floating-point elements in `a` to packed 8-bit integers, 
924 /// and store the results in lower 4 elements. 
925 /// Note: this intrinsic will generate 0x7F, rather than 0x80, for input values between 0x7F and 0x7FFFFFFF.
926 __m64 _mm_cvtps_pi8 (__m128 a) @safe
927 {
928     // The C++ version of this intrinsic convert to 32-bit float, then use packssdw + packsswb
929     // Which means the 8-bit integers should be saturated
930     __m128i b = _mm_cvtps_epi32(a);
931     b = _mm_packs_epi32(b, _mm_setzero_si128());
932     b = _mm_packs_epi16(b, _mm_setzero_si128());
933     return to_m64(b);
934 }
935 unittest
936 {
937     __m128 A = _mm_setr_ps(-1.0f, 2.0f, -129.0f, 128.0f);
938     byte8 R = cast(byte8) _mm_cvtps_pi8(A);
939     byte[8] correct = [-1, 2, -128, 127, 0, 0, 0, 0];
940     assert(R.array == correct);
941 }
942 
943 /// Convert packed unsigned 16-bit integers in `a` to packed single-precision (32-bit) floating-point elements.
944 __m128 _mm_cvtpu16_ps (__m64 a) pure @safe
945 {
946     __m128i ma = to_m128i(a);
947     ma = _mm_unpacklo_epi16(ma, _mm_setzero_si128()); // Zero-extend to 32-bit
948     return _mm_cvtepi32_ps(ma);
949 }
950 unittest
951 {
952     __m64 A = _mm_setr_pi16(-1, 2, -3, 4);
953     __m128 R = _mm_cvtpu16_ps(A);
954     float[4] correct = [65535.0f, 2.0f, 65533.0f, 4.0f];
955     assert(R.array == correct);
956 }
957 
958 /// Convert the lower packed unsigned 8-bit integers in `a` to packed single-precision (32-bit) floating-point element.
959 __m128 _mm_cvtpu8_ps (__m64 a) pure @safe
960 {
961     __m128i b = to_m128i(a); 
962 
963     // Zero extend to 32-bit
964     b = _mm_unpacklo_epi8(b, _mm_setzero_si128());
965     b = _mm_unpacklo_epi16(b, _mm_setzero_si128());
966     return _mm_cvtepi32_ps(b);
967 }
968 unittest
969 {
970     __m64 A = _mm_setr_pi8(-1, 2, -3, 4, 0, 0, 0, 0);
971     __m128 R = _mm_cvtpu8_ps(A);
972     float[4] correct = [255.0f, 2.0f, 253.0f, 4.0f];
973     assert(R.array == correct);
974 }
975 
976 /// Convert the signed 32-bit integer `b` to a single-precision (32-bit) floating-point element, 
977 /// store the result in the lower element, and copy the upper 3 packed elements from `a` to the 
978 /// upper elements of result.
979 __m128 _mm_cvtsi32_ss(__m128 v, int x) pure @trusted
980 {
981     v.ptr[0] = cast(float)x;
982     return v;
983 }
984 unittest
985 {
986     __m128 a = _mm_cvtsi32_ss(_mm_set1_ps(0.0f), 42);
987     assert(a.array == [42.0f, 0, 0, 0]);
988 }
989 
990 
991 /// Convert the signed 64-bit integer `b` to a single-precision (32-bit) floating-point element, 
992 /// store the result in the lower element, and copy the upper 3 packed elements from `a` to the 
993 /// upper elements of result.
994 __m128 _mm_cvtsi64_ss(__m128 v, long x) pure @trusted
995 {
996     v.ptr[0] = cast(float)x;
997     return v;
998 }
999 unittest
1000 {
1001     __m128 a = _mm_cvtsi64_ss(_mm_set1_ps(0.0f), 42);
1002     assert(a.array == [42.0f, 0, 0, 0]);
1003 }
1004 
1005 /// Take the lower single-precision (32-bit) floating-point element of `a`.
1006 float _mm_cvtss_f32(__m128 a) pure @safe
1007 {
1008     return a.array[0];
1009 }
1010 
1011 /// Convert the lower single-precision (32-bit) floating-point element in `a` to a 32-bit integer.
1012 int _mm_cvtss_si32 (__m128 a) @safe // PERF GDC
1013 {
1014     static if (GDC_with_SSE)
1015     {
1016         return __builtin_ia32_cvtss2si(a);
1017     }
1018     else static if (LDC_with_SSE1)
1019     {
1020         return __builtin_ia32_cvtss2si(a);
1021     }
1022     else static if (DMD_with_DSIMD)
1023     {
1024         __m128 b;
1025         __m128i r = cast(__m128i) __simd(XMM.CVTPS2DQ, a); // Note: converts 4 integers.
1026         return r.array[0];
1027     }
1028     else
1029     {
1030         return convertFloatToInt32UsingMXCSR(a.array[0]);
1031     }
1032 }
1033 unittest
1034 {
1035     assert(1 == _mm_cvtss_si32(_mm_setr_ps(1.0f, 2.0f, 3.0f, 4.0f)));
1036 }
1037 
1038 /// Convert the lower single-precision (32-bit) floating-point element in `a` to a 64-bit integer.
1039 long _mm_cvtss_si64 (__m128 a) @safe
1040 {
1041     version(LDC)
1042     {
1043         version(X86_64)
1044         {
1045             return __builtin_ia32_cvtss2si64(a);
1046         }
1047         else
1048         {
1049             // Note: In 32-bit x86, there is no way to convert from float/double to 64-bit integer
1050             // using SSE instructions only. So the builtin doesn't exit for this arch.
1051             return convertFloatToInt64UsingMXCSR(a.array[0]);
1052         }
1053     }
1054     else
1055     {
1056         return convertFloatToInt64UsingMXCSR(a.array[0]);
1057     }
1058 }
1059 unittest
1060 {
1061     assert(1 == _mm_cvtss_si64(_mm_setr_ps(1.0f, 2.0f, 3.0f, 4.0f)));
1062 
1063     uint savedRounding = _MM_GET_ROUNDING_MODE();
1064 
1065     _MM_SET_ROUNDING_MODE(_MM_ROUND_NEAREST);
1066     assert(-86186 == _mm_cvtss_si64(_mm_set1_ps(-86186.49f)));
1067 
1068     _MM_SET_ROUNDING_MODE(_MM_ROUND_DOWN);
1069     assert(-86187 == _mm_cvtss_si64(_mm_set1_ps(-86186.1f)));
1070 
1071     _MM_SET_ROUNDING_MODE(_MM_ROUND_UP);
1072     assert(86187 == _mm_cvtss_si64(_mm_set1_ps(86186.1f)));
1073 
1074     _MM_SET_ROUNDING_MODE(_MM_ROUND_TOWARD_ZERO);
1075     assert(-86186 == _mm_cvtss_si64(_mm_set1_ps(-86186.9f)));
1076 
1077     _MM_SET_ROUNDING_MODE(savedRounding);
1078 }
1079 
1080 
1081 /// Convert the lower single-precision (32-bit) floating-point element in `a` to a 32-bit 
1082 /// integer with truncation.
1083 int _mm_cvtt_ss2si (__m128 a) pure @safe
1084 {
1085     // x86: cvttss2si always generated, even in -O0
1086     return cast(int)(a.array[0]);
1087 }
1088 alias _mm_cvttss_si32 = _mm_cvtt_ss2si; ///ditto
1089 unittest
1090 {
1091     assert(1 == _mm_cvtt_ss2si(_mm_setr_ps(1.9f, 2.0f, 3.0f, 4.0f)));
1092 }
1093 
1094 
1095 /// Convert packed single-precision (32-bit) floating-point elements in `a` to packed 32-bit 
1096 /// integers with truncation.
1097 __m64 _mm_cvtt_ps2pi (__m128 a) pure @safe
1098 {
1099     return to_m64(_mm_cvttps_epi32(a));
1100 }
1101 
1102 /// Convert the lower single-precision (32-bit) floating-point element in `a` to a 64-bit 
1103 /// integer with truncation.
1104 long _mm_cvttss_si64 (__m128 a) pure @safe
1105 {
1106     return cast(long)(a.array[0]);
1107 }
1108 unittest
1109 {
1110     assert(1 == _mm_cvttss_si64(_mm_setr_ps(1.9f, 2.0f, 3.0f, 4.0f)));
1111 }
1112 
1113 /// Divide packed single-precision (32-bit) floating-point elements in `a` by packed elements in `b`.
1114 __m128 _mm_div_ps(__m128 a, __m128 b) pure @safe
1115 {
1116     pragma(inline, true);
1117     return a / b;
1118 }
1119 unittest
1120 {
1121     __m128 a = [1.5f, -2.0f, 3.0f, 1.0f];
1122     a = _mm_div_ps(a, a);
1123     float[4] correct = [1.0f, 1.0f, 1.0f, 1.0f];
1124     assert(a.array == correct);
1125 }
1126 
1127 /// Divide the lower single-precision (32-bit) floating-point element in `a` by the lower 
1128 /// single-precision (32-bit) floating-point element in `b`, store the result in the lower 
1129 /// element of result, and copy the upper 3 packed elements from `a` to the upper elements of result.
1130 __m128 _mm_div_ss(__m128 a, __m128 b) pure @safe
1131 {
1132     static if (DMD_with_DSIMD)
1133         return cast(__m128) __simd(XMM.DIVSS, a, b);
1134     else static if (GDC_with_SSE)
1135         return __builtin_ia32_divss(a, b);
1136     else
1137     {
1138         a[0] /= b[0];
1139         return a;
1140     }
1141 }
1142 unittest
1143 {
1144     __m128 a = [1.5f, -2.0f, 3.0f, 1.0f];
1145     a = _mm_div_ss(a, a);
1146     float[4] correct = [1.0f, -2.0, 3.0f, 1.0f];
1147     assert(a.array == correct);
1148 }
1149 
1150 /// Extract a 16-bit unsigned integer from `a`, selected with `imm8`. Zero-extended.
1151 int _mm_extract_pi16 (__m64 a, int imm8)
1152 {
1153     short4 sa = cast(short4)a;
1154     return cast(ushort)(sa.array[imm8]);
1155 }
1156 unittest
1157 {
1158     __m64 A = _mm_setr_pi16(-1, 6, 0, 4);
1159     assert(_mm_extract_pi16(A, 0) == 65535);
1160     assert(_mm_extract_pi16(A, 1) == 6);
1161     assert(_mm_extract_pi16(A, 2) == 0);
1162     assert(_mm_extract_pi16(A, 3) == 4);
1163 }
1164 
1165 /// Free aligned memory that was allocated with `_mm_malloc`.
1166 void _mm_free(void * mem_addr) @trusted
1167 {
1168     // support for free(NULL)
1169     if (mem_addr is null)
1170         return;
1171 
1172     // Technically we don't need to store size and alignement in the chunk, but we do in case we
1173     // have to implement _mm_realloc
1174 
1175     size_t pointerSize = (void*).sizeof;
1176     void** rawLocation = cast(void**)(cast(char*)mem_addr - size_t.sizeof);
1177     size_t* alignmentLocation = cast(size_t*)(cast(char*)mem_addr - 3 * pointerSize);
1178     size_t alignment = *alignmentLocation;
1179     assert(alignment != 0);
1180     assert(isPointerAligned(mem_addr, alignment));
1181     free(*rawLocation);
1182 }
1183 
1184 /// Get the exception mask bits from the MXCSR control and status register. 
1185 /// The exception mask may contain any of the following flags: `_MM_MASK_INVALID`, 
1186 /// `_MM_MASK_DIV_ZERO`, `_MM_MASK_DENORM`, `_MM_MASK_OVERFLOW`, `_MM_MASK_UNDERFLOW`, `_MM_MASK_INEXACT`.
1187 /// Note: won't correspond to reality on non-x86, where MXCSR this is emulated.
1188 uint _MM_GET_EXCEPTION_MASK() @safe
1189 {
1190     return _mm_getcsr() & _MM_MASK_MASK;
1191 }
1192 
1193 /// Get the exception state bits from the MXCSR control and status register. 
1194 /// The exception state may contain any of the following flags: `_MM_EXCEPT_INVALID`, 
1195 /// `_MM_EXCEPT_DIV_ZERO`, `_MM_EXCEPT_DENORM`, `_MM_EXCEPT_OVERFLOW`, `_MM_EXCEPT_UNDERFLOW`, `_MM_EXCEPT_INEXACT`.
1196 /// Note: won't correspond to reality on non-x86, where MXCSR this is emulated. No exception reported.
1197 uint _MM_GET_EXCEPTION_STATE() @safe
1198 {
1199     return _mm_getcsr() & _MM_EXCEPT_MASK;
1200 }
1201 
1202 /// Get the flush zero bits from the MXCSR control and status register. 
1203 /// The flush zero may contain any of the following flags: `_MM_FLUSH_ZERO_ON` or `_MM_FLUSH_ZERO_OFF`
1204 uint _MM_GET_FLUSH_ZERO_MODE() @safe
1205 {
1206     return _mm_getcsr() & _MM_FLUSH_ZERO_MASK;
1207 }
1208 
1209 /// Get the rounding mode bits from the MXCSR control and status register. The rounding mode may 
1210 /// contain any of the following flags: `_MM_ROUND_NEAREST, `_MM_ROUND_DOWN`, `_MM_ROUND_UP`, `_MM_ROUND_TOWARD_ZERO`.
1211 uint _MM_GET_ROUNDING_MODE() @safe
1212 {
1213     return _mm_getcsr() & _MM_ROUND_MASK;
1214 }
1215 
1216 /// Get the unsigned 32-bit value of the MXCSR control and status register.
1217 /// Note: this is emulated on ARM, because there is no MXCSR register then.
1218 uint _mm_getcsr() @trusted
1219 {
1220     static if (LDC_with_ARM)
1221     {
1222         // Note: we convert the ARM FPSCR into a x86 SSE control word.
1223         // However, only rounding mode and flush to zero are actually set.
1224         // The returned control word will have all exceptions masked, and no exception detected.
1225 
1226         uint fpscr = arm_get_fpcr();
1227 
1228         uint cw = 0; // No exception detected
1229         if (fpscr & _MM_FLUSH_ZERO_MASK_ARM)
1230         {
1231             // ARM has one single flag for ARM.
1232             // It does both x86 bits.
1233             // https://developer.arm.com/documentation/dui0473/c/neon-and-vfp-programming/the-effects-of-using-flush-to-zero-mode
1234             cw |= _MM_FLUSH_ZERO_ON;
1235             cw |= 0x40; // set "denormals are zeros"
1236         } 
1237         cw |= _MM_MASK_MASK; // All exception maske
1238 
1239         // Rounding mode
1240         switch(fpscr & _MM_ROUND_MASK_ARM)
1241         {
1242             default:
1243             case _MM_ROUND_NEAREST_ARM:     cw |= _MM_ROUND_NEAREST;     break;
1244             case _MM_ROUND_DOWN_ARM:        cw |= _MM_ROUND_DOWN;        break;
1245             case _MM_ROUND_UP_ARM:          cw |= _MM_ROUND_UP;          break;
1246             case _MM_ROUND_TOWARD_ZERO_ARM: cw |= _MM_ROUND_TOWARD_ZERO; break;
1247         }
1248         return cw;
1249     }
1250     else version(GNU)
1251     {
1252         static if (GDC_with_SSE)
1253         {
1254             return __builtin_ia32_stmxcsr();
1255         }
1256         else version(X86)
1257         {
1258             uint sseRounding = 0;
1259             asm pure nothrow @nogc @trusted
1260             {
1261                 "stmxcsr %0;\n" 
1262                   : "=m" (sseRounding)
1263                   : 
1264                   : ;
1265             }
1266             return sseRounding;
1267         }
1268         else
1269             static assert(false);
1270     }
1271     else version (InlineX86Asm)
1272     {
1273         uint controlWord;
1274         asm nothrow @nogc pure @safe
1275         {
1276             stmxcsr controlWord;
1277         }
1278         return controlWord;
1279     }
1280     else
1281         static assert(0, "Not yet supported");
1282 }
1283 unittest
1284 {
1285     uint csr = _mm_getcsr();
1286 }
1287 
1288 /// Insert a 16-bit integer `i` inside `a` at the location specified by `imm8`.
1289 __m64 _mm_insert_pi16 (__m64 v, int i, int imm8) pure @trusted
1290 {
1291     short4 r = cast(short4)v;
1292     r.ptr[imm8 & 3] = cast(short)i;
1293     return cast(__m64)r;
1294 }
1295 unittest
1296 {
1297     __m64 A = _mm_set_pi16(3, 2, 1, 0);
1298     short4 R = cast(short4) _mm_insert_pi16(A, 42, 1 | 4);
1299     short[4] correct = [0, 42, 2, 3];
1300     assert(R.array == correct);
1301 }
1302 
1303 /// Load 128-bits (composed of 4 packed single-precision (32-bit) floating-point elements) from memory.
1304 //  `p` must be aligned on a 16-byte boundary or a general-protection exception may be generated.
1305 __m128 _mm_load_ps(const(float)*p) pure @trusted // TODO shouldn't be trusted
1306 {
1307     pragma(inline, true);
1308     return *cast(__m128*)p;
1309 }
1310 unittest
1311 {
1312     static immutable align(16) float[4] correct = [1.0f, 2.0f, 3.0f, 4.0f];
1313     __m128 A = _mm_load_ps(correct.ptr);
1314     assert(A.array == correct);
1315 }
1316 
1317 /// Load a single-precision (32-bit) floating-point element from memory into all elements.
1318 __m128 _mm_load_ps1(const(float)*p) pure @trusted
1319 {
1320     return __m128(*p);
1321 }
1322 unittest
1323 {
1324     float n = 2.5f;
1325     float[4] correct = [2.5f, 2.5f, 2.5f, 2.5f];
1326     __m128 A = _mm_load_ps1(&n);
1327     assert(A.array == correct);
1328 }
1329 
1330 /// Load a single-precision (32-bit) floating-point element from memory into the lower of dst, and zero the upper 3 
1331 /// elements. `mem_addr` does not need to be aligned on any particular boundary.
1332 __m128 _mm_load_ss (const(float)* mem_addr) pure @trusted
1333 {
1334     pragma(inline, true);
1335     static if (DMD_with_DSIMD)
1336     {
1337         return cast(__m128)__simd(XMM.LODSS, *cast(__m128*)mem_addr);
1338     }
1339     else
1340     {
1341         __m128 r;
1342         r.ptr[0] = *mem_addr;
1343         r.ptr[1] = 0;
1344         r.ptr[2] = 0;
1345         r.ptr[3] = 0;
1346         return r;
1347     }
1348 }
1349 unittest
1350 {
1351     float n = 2.5f;
1352     float[4] correct = [2.5f, 0.0f, 0.0f, 0.0f];
1353     __m128 A = _mm_load_ss(&n);
1354     assert(A.array == correct);
1355 }
1356 
1357 /// Load a single-precision (32-bit) floating-point element from memory into all elements.
1358 alias _mm_load1_ps = _mm_load_ps1;
1359 
1360 /// Load 2 single-precision (32-bit) floating-point elements from memory into the upper 2 elements of result, 
1361 /// and copy the lower 2 elements from `a` to result. `mem_addr does` not need to be aligned on any particular boundary.
1362 __m128 _mm_loadh_pi (__m128 a, const(__m64)* mem_addr) pure @trusted
1363 {
1364     pragma(inline, true);
1365     static if (DMD_with_DSIMD)
1366     {
1367         return cast(__m128) __simd(XMM.LODHPS, a, *cast(const(__m128)*)mem_addr); 
1368     }
1369     else
1370     {
1371         // x86: movlhps generated since LDC 1.9.0 -O1
1372         long2 la = cast(long2)a;
1373         la.ptr[1] = (*mem_addr).array[0];
1374         return cast(__m128)la;
1375     }
1376 }
1377 unittest
1378 {
1379     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, 4.0f);
1380     __m128 B = _mm_setr_ps(5.0f, 6.0f, 7.0f, 8.0f);
1381     __m64 M = to_m64(cast(__m128i)B);
1382      __m128 R = _mm_loadh_pi(A, &M);
1383     float[4] correct = [1.0f, 2.0f, 5.0f, 6.0f];
1384     assert(R.array == correct);
1385 }
1386 
1387 /// Load 2 single-precision (32-bit) floating-point elements from memory into the lower 2 elements of result, 
1388 /// and copy the upper 2 elements from `a` to result. `mem_addr` does not need to be aligned on any particular boundary.
1389 __m128 _mm_loadl_pi (__m128 a, const(__m64)* mem_addr) pure @trusted
1390 {
1391     pragma(inline, true);
1392     static if (DMD_with_DSIMD)
1393     {
1394         return cast(__m128) __simd(XMM.LODLPS, a, *cast(const(__m128)*)mem_addr); 
1395     }
1396     else
1397     {
1398         // x86: movlpd/movlps generated with all LDC -01
1399         long2 la = cast(long2)a;
1400         la.ptr[0] = (*mem_addr).array[0];
1401         return cast(__m128)la;
1402     }
1403 }
1404 unittest
1405 {
1406     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, 4.0f);
1407     __m128 B = _mm_setr_ps(5.0f, 6.0f, 7.0f, 8.0f);
1408     __m64 M = to_m64(cast(__m128i)B);
1409      __m128 R = _mm_loadl_pi(A, &M);
1410     float[4] correct = [5.0f, 6.0f, 3.0f, 4.0f];
1411     assert(R.array == correct);
1412 }
1413 
1414 /// Load 4 single-precision (32-bit) floating-point elements from memory in reverse order. 
1415 /// `mem_addr` must be aligned on a 16-byte boundary or a general-protection exception may be generated.
1416 __m128 _mm_loadr_ps (const(float)* mem_addr) pure @trusted // TODO shouldn't be trusted
1417 {
1418     __m128* aligned = cast(__m128*)mem_addr; // x86: movaps + shups since LDC 1.0.0 -O1
1419     __m128 a = *aligned;
1420     static if (DMD_with_DSIMD)
1421     {
1422         return cast(__m128) __simd(XMM.SHUFPS, a, a, 27);
1423     }
1424     else
1425     {
1426         __m128 r;
1427         r.ptr[0] = a.array[3];
1428         r.ptr[1] = a.array[2];
1429         r.ptr[2] = a.array[1];
1430         r.ptr[3] = a.array[0];
1431         return r;
1432     }
1433 }
1434 unittest
1435 {
1436     align(16) static immutable float[4] arr = [ 1.0f, 2.0f, 3.0f, 8.0f ];
1437     __m128 A = _mm_loadr_ps(arr.ptr);
1438     float[4] correct = [ 8.0f, 3.0f, 2.0f, 1.0f ];
1439     assert(A.array == correct);
1440 }
1441 
1442 /// Load 128-bits (composed of 4 packed single-precision (32-bit) floating-point elements) from memory. 
1443 /// `mem_addr` does not need to be aligned on any particular boundary.
1444 __m128 _mm_loadu_ps(const(float)* mem_addr) pure @trusted
1445 {
1446     pragma(inline, true);
1447     static if (GDC_with_SSE2)
1448     {
1449         return __builtin_ia32_loadups(mem_addr);
1450     }
1451     else version(LDC)
1452     {
1453         return loadUnaligned!(__m128)(mem_addr);
1454     }
1455     else version(DigitalMars)
1456     {
1457         static if (DMD_with_DSIMD)
1458         {
1459             return cast(__m128)__simd(XMM.LODUPS, *mem_addr);
1460         }
1461         else static if (SSESizedVectorsAreEmulated)
1462         {
1463             // Since this vector is emulated, it doesn't have alignement constraints
1464             // and as such we can just cast it.
1465             return *cast(__m128*)(mem_addr);
1466         }
1467         else
1468         {
1469             __m128 result;
1470             result.ptr[0] = mem_addr[0];
1471             result.ptr[1] = mem_addr[1];
1472             result.ptr[2] = mem_addr[2];
1473             result.ptr[3] = mem_addr[3];
1474             return result;
1475         }
1476     }
1477     else
1478     {
1479         __m128 result;
1480         result.ptr[0] = mem_addr[0];
1481         result.ptr[1] = mem_addr[1];
1482         result.ptr[2] = mem_addr[2];
1483         result.ptr[3] = mem_addr[3];
1484         return result;
1485     }
1486 }
1487 unittest
1488 {
1489     align(16) static immutable float[5] arr = [ 1.0f, 2.0f, 3.0f, 8.0f, 9.0f ];  // force unaligned load
1490     __m128 A = _mm_loadu_ps(&arr[1]);
1491     float[4] correct = [ 2.0f, 3.0f, 8.0f, 9.0f ];
1492     assert(A.array == correct);
1493 }
1494 
1495 /// Load unaligned 16-bit integer from memory into the first element, fill with zeroes otherwise.
1496 __m128i _mm_loadu_si16(const(void)* mem_addr) pure @trusted
1497 {
1498     static if (DMD_with_DSIMD)
1499     {
1500         int r = *cast(short*)(mem_addr);
1501         return cast(__m128i) __simd(XMM.LODD, *cast(__m128i*)&r);
1502     }
1503     else version(DigitalMars)
1504     {
1505         // Workaround issue: https://issues.dlang.org/show_bug.cgi?id=21672
1506         // DMD cannot handle the below code...
1507         align(16) short[8] r = [0, 0, 0, 0, 0, 0, 0, 0];
1508         r[0] = *cast(short*)(mem_addr);
1509         return *cast(int4*)(r.ptr);
1510     }
1511     else
1512     {
1513         short r = *cast(short*)(mem_addr);
1514         short8 result = [0, 0, 0, 0, 0, 0, 0, 0];
1515         result.ptr[0] = r;
1516         return cast(__m128i)result;
1517     }
1518 }
1519 unittest
1520 {
1521     short r = 13;
1522     short8 A = cast(short8) _mm_loadu_si16(&r);
1523     short[8] correct = [13, 0, 0, 0, 0, 0, 0, 0];
1524     assert(A.array == correct);
1525 }
1526 
1527 /// Load unaligned 64-bit integer from memory into the first element of result.
1528 /// Upper 64-bit is zeroed.
1529 __m128i _mm_loadu_si64(const(void)* mem_addr) pure @trusted
1530 {
1531     pragma(inline, true);
1532     static if (DMD_with_DSIMD)
1533     {
1534         return cast(__m128i) __simd(XMM.LODQ, *cast(__m128i*)mem_addr);
1535     }
1536     else
1537     {
1538         long r = *cast(long*)(mem_addr);
1539         long2 result = [0, 0];
1540         result.ptr[0] = r;
1541         return cast(__m128i)result;
1542     }
1543 }
1544 unittest
1545 {
1546     long r = 446446446446;
1547     long2 A = cast(long2) _mm_loadu_si64(&r);
1548     long[2] correct = [446446446446, 0];
1549     assert(A.array == correct);
1550 }
1551 
1552 /// Allocate size bytes of memory, aligned to the alignment specified in align,
1553 /// and return a pointer to the allocated memory. `_mm_free` should be used to free
1554 /// memory that is allocated with `_mm_malloc`.
1555 void* _mm_malloc(size_t size, size_t alignment) @trusted
1556 {
1557     assert(alignment != 0);
1558     size_t request = requestedSize(size, alignment);
1559     void* raw = malloc(request);
1560     if (request > 0 && raw == null) // malloc(0) can validly return anything
1561         onOutOfMemoryError();
1562     return storeRawPointerPlusInfo(raw, size, alignment); // PERF: no need to store size
1563 }
1564 
1565 /// Conditionally store 8-bit integer elements from a into memory using mask (elements are not stored when the highest 
1566 /// bit is not set in the corresponding element) and a non-temporal memory hint.
1567 void _mm_maskmove_si64 (__m64 a, __m64 mask, char* mem_addr) @trusted
1568 {
1569     // this works since mask is zero-extended
1570     return _mm_maskmoveu_si128 (to_m128i(a), to_m128i(mask), mem_addr);
1571 }
1572 
1573 deprecated("Use _mm_maskmove_si64 instead") alias _m_maskmovq = _mm_maskmove_si64;///
1574 
1575 /// Compare packed signed 16-bit integers in `a` and `b`, and return packed maximum value.
1576 __m64 _mm_max_pi16 (__m64 a, __m64 b) pure @safe
1577 {
1578     return to_m64(_mm_max_epi16(to_m128i(a), to_m128i(b)));
1579 }
1580 
1581 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b`, and return packed maximum values.
1582 __m128 _mm_max_ps(__m128 a, __m128 b) pure @safe
1583 {
1584     static if (DMD_with_DSIMD)
1585     {
1586         return cast(__m128) __simd(XMM.MAXPS, a, b);
1587     }
1588     else static if (GDC_with_SSE)
1589     {
1590         return __builtin_ia32_maxps(a, b);
1591     }
1592     else static if (LDC_with_SSE1)
1593     {
1594         return __builtin_ia32_maxps(a, b);
1595     }
1596     else
1597     {
1598         // ARM: Optimized into fcmgt + bsl since LDC 1.8 -02
1599         __m128 r;
1600         r[0] = (a[0] > b[0]) ? a[0] : b[0];
1601         r[1] = (a[1] > b[1]) ? a[1] : b[1];
1602         r[2] = (a[2] > b[2]) ? a[2] : b[2];
1603         r[3] = (a[3] > b[3]) ? a[3] : b[3];
1604         return r;    
1605     }
1606 }
1607 unittest
1608 {
1609     __m128 A = _mm_setr_ps(1, 2, float.nan, 4);
1610     __m128 B = _mm_setr_ps(4, 1, 4, float.nan);
1611     __m128 M = _mm_max_ps(A, B);
1612     assert(M.array[0] == 4);
1613     assert(M.array[1] == 2);
1614     assert(M.array[2] == 4);    // in case of NaN, second operand prevails (as it seems)
1615     assert(M.array[3] != M.array[3]); // in case of NaN, second operand prevails (as it seems)
1616 }
1617 
1618 /// Compare packed unsigned 8-bit integers in `a` and `b`, and return packed maximum values.
1619 __m64 _mm_max_pu8 (__m64 a, __m64 b) pure @safe
1620 {
1621     return to_m64(_mm_max_epu8(to_m128i(a), to_m128i(b)));
1622 }
1623 
1624 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b`, store the maximum value in the 
1625 /// lower element of result, and copy the upper 3 packed elements from `a` to the upper element of result.
1626  __m128 _mm_max_ss(__m128 a, __m128 b) pure @safe
1627 {
1628     static if (DMD_with_DSIMD)
1629     {
1630         return cast(__m128) __simd(XMM.MAXSS, a, b);
1631     }
1632     else static if (GDC_with_SSE)
1633     {
1634         return __builtin_ia32_maxss(a, b);
1635     }
1636     else static if (LDC_with_SSE1)
1637     {
1638         return __builtin_ia32_maxss(a, b); 
1639     }
1640     else
1641     {  
1642         __m128 r = a;
1643         r[0] = (a[0] > b[0]) ? a[0] : b[0];
1644         return r;
1645     }
1646 }
1647 unittest
1648 {
1649     __m128 A = _mm_setr_ps(1, 2, 3, 4);
1650     __m128 B = _mm_setr_ps(4, 1, 4, 1);
1651     __m128 C = _mm_setr_ps(float.nan, 1, 4, 1);
1652     __m128 M = _mm_max_ss(A, B);
1653     assert(M.array[0] == 4);
1654     assert(M.array[1] == 2);
1655     assert(M.array[2] == 3);
1656     assert(M.array[3] == 4);
1657     M = _mm_max_ps(A, C); // in case of NaN, second operand prevails
1658     assert(M.array[0] != M.array[0]);
1659     M = _mm_max_ps(C, A); // in case of NaN, second operand prevails
1660     assert(M.array[0] == 1);
1661 }
1662 
1663 /// Compare packed signed 16-bit integers in a and b, and return packed minimum values.
1664 __m64 _mm_min_pi16 (__m64 a, __m64 b) pure @safe
1665 {
1666     return to_m64(_mm_min_epi16(to_m128i(a), to_m128i(b)));
1667 }
1668 
1669 /// Compare packed single-precision (32-bit) floating-point elements in `a` and `b`, and return packed maximum values.
1670 __m128 _mm_min_ps(__m128 a, __m128 b) pure @safe
1671 {
1672     static if (DMD_with_DSIMD)
1673     {
1674         return cast(__m128) __simd(XMM.MINPS, a, b);
1675     }
1676     else static if (GDC_with_SSE)
1677     {
1678         return __builtin_ia32_minps(a, b);
1679     }
1680     else static if (LDC_with_SSE1)
1681     {
1682         // not technically needed, but better perf in debug mode
1683         return __builtin_ia32_minps(a, b);
1684     }
1685     else
1686     {
1687         // ARM: Optimized into fcmgt + bsl since LDC 1.8 -02
1688         __m128 r;
1689         r[0] = (a[0] < b[0]) ? a[0] : b[0];
1690         r[1] = (a[1] < b[1]) ? a[1] : b[1];
1691         r[2] = (a[2] < b[2]) ? a[2] : b[2];
1692         r[3] = (a[3] < b[3]) ? a[3] : b[3];
1693         return r;
1694     }
1695 }
1696 unittest
1697 {
1698     __m128 A = _mm_setr_ps(1, 2, float.nan, 4);
1699     __m128 B = _mm_setr_ps(4, 1, 4, float.nan);
1700     __m128 M = _mm_min_ps(A, B);
1701     assert(M.array[0] == 1);
1702     assert(M.array[1] == 1);
1703     assert(M.array[2] == 4);    // in case of NaN, second operand prevails (as it seems)
1704     assert(M.array[3] != M.array[3]); // in case of NaN, second operand prevails (as it seems)
1705 }
1706 
1707 /// Compare packed unsigned 8-bit integers in `a` and `b`, and return packed minimum values.
1708 __m64 _mm_min_pu8 (__m64 a, __m64 b) pure @safe
1709 {
1710     return to_m64(_mm_min_epu8(to_m128i(a), to_m128i(b)));
1711 }
1712 
1713 /// Compare the lower single-precision (32-bit) floating-point elements in `a` and `b`, store the minimum value in the 
1714 /// lower element of result, and copy the upper 3 packed elements from `a` to the upper element of result.
1715 __m128 _mm_min_ss(__m128 a, __m128 b) pure @safe
1716 {
1717     static if (DMD_with_DSIMD)
1718     {
1719         return cast(__m128) __simd(XMM.MINSS, a, b);
1720     }
1721     else static if (GDC_with_SSE)
1722     {
1723         return __builtin_ia32_minss(a, b);
1724     }
1725     else static if (LDC_with_SSE1)
1726     {
1727         return __builtin_ia32_minss(a, b);
1728     }
1729     else
1730     {
1731         // Generates minss since LDC 1.3 -O1
1732         __m128 r = a;
1733         r[0] = (a[0] < b[0]) ? a[0] : b[0];
1734         return r;
1735     }
1736 }
1737 unittest
1738 {
1739     __m128 A = _mm_setr_ps(1, 2, 3, 4);
1740     __m128 B = _mm_setr_ps(4, 1, 4, 1);
1741     __m128 C = _mm_setr_ps(float.nan, 1, 4, 1);
1742     __m128 M = _mm_min_ss(A, B);
1743     assert(M.array[0] == 1);
1744     assert(M.array[1] == 2);
1745     assert(M.array[2] == 3);
1746     assert(M.array[3] == 4);
1747     M = _mm_min_ps(A, C); // in case of NaN, second operand prevails
1748     assert(M.array[0] != M.array[0]);
1749     M = _mm_min_ps(C, A); // in case of NaN, second operand prevails
1750     assert(M.array[0] == 1);
1751 }
1752 
1753 /// Move the lower single-precision (32-bit) floating-point element from `b` to the lower element of result, and copy 
1754 /// the upper 3 packed elements from `a` to the upper elements of result.
1755 __m128 _mm_move_ss (__m128 a, __m128 b) pure @trusted
1756 {
1757     // Workaround https://issues.dlang.org/show_bug.cgi?id=21673
1758     // inlining of this function fails.
1759     version(DigitalMars) asm nothrow @nogc pure { nop; }
1760 
1761     a.ptr[0] = b.array[0];
1762     return a;
1763 }
1764 unittest
1765 {
1766     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, 4.0f);
1767     __m128 B = _mm_setr_ps(5.0f, 6.0f, 7.0f, 8.0f);
1768     __m128 R = _mm_move_ss(A, B);
1769     float[4] correct = [5.0f, 2.0f, 3.0f, 4.0f];
1770     assert(R.array == correct);
1771 }
1772 
1773 /// Move the upper 2 single-precision (32-bit) floating-point elements from `b` to the lower 2 elements of result, and 
1774 /// copy the upper 2 elements from `a` to the upper 2 elements of dst.
1775 __m128 _mm_movehl_ps (__m128 a, __m128 b) pure @trusted
1776 {
1777     // Disabled because of https://issues.dlang.org/show_bug.cgi?id=19443
1778     /*
1779     static if (DMD_with_DSIMD)
1780     {
1781         
1782         return cast(__m128) __simd(XMM.MOVHLPS, a, b);
1783     }
1784     else */
1785     {
1786         a.ptr[0] = b.array[2];
1787         a.ptr[1] = b.array[3];
1788         return a;
1789     }
1790 }
1791 unittest
1792 {
1793     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, 4.0f);
1794     __m128 B = _mm_setr_ps(5.0f, 6.0f, 7.0f, 8.0f);
1795     __m128 R = _mm_movehl_ps(A, B);
1796     float[4] correct = [7.0f, 8.0f, 3.0f, 4.0f];
1797     assert(R.array == correct);
1798 }
1799 
1800 /// Move the lower 2 single-precision (32-bit) floating-point elements from `b` to the upper 2 elements of result, and 
1801 /// copy the lower 2 elements from `a` to the lower 2 elements of result
1802 __m128 _mm_movelh_ps (__m128 a, __m128 b) pure @trusted
1803 {    
1804     // Disabled because of https://issues.dlang.org/show_bug.cgi?id=19443
1805     /*
1806     static if (DMD_with_DSIMD)
1807     {
1808         return cast(__m128) __simd(XMM.MOVLHPS, a, b);
1809     }
1810     else
1811     */
1812     {
1813         a.ptr[2] = b.array[0];
1814         a.ptr[3] = b.array[1];
1815         return a;
1816     }    
1817 }
1818 unittest
1819 {
1820     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, 4.0f);
1821     __m128 B = _mm_setr_ps(5.0f, 6.0f, 7.0f, 8.0f);
1822     __m128 R = _mm_movelh_ps(A, B);
1823     float[4] correct = [1.0f, 2.0f, 5.0f, 6.0f];
1824     assert(R.array == correct);
1825 }
1826 
1827 /// Create mask from the most significant bit of each 8-bit element in `a`.
1828 int _mm_movemask_pi8 (__m64 a) pure @safe
1829 {
1830     return _mm_movemask_epi8(to_m128i(a));
1831 }
1832 unittest
1833 {
1834     assert(0x9C == _mm_movemask_pi8(_mm_set_pi8(-1, 0, 0, -1, -1, -1, 0, 0)));
1835 }
1836 
1837 /// Set each bit of result based on the most significant bit of the corresponding packed single-precision (32-bit) 
1838 /// floating-point element in `a`.
1839 int _mm_movemask_ps (__m128 a) pure @trusted
1840 {
1841     // PERF: Not possible in D_SIMD because of https://issues.dlang.org/show_bug.cgi?id=8047
1842     static if (GDC_with_SSE)
1843     {
1844         return __builtin_ia32_movmskps(a);
1845     }
1846     else static if (LDC_with_SSE1)
1847     {
1848         return __builtin_ia32_movmskps(a);
1849     }
1850     else static if (LDC_with_ARM)
1851     {
1852         int4 ai = cast(int4)a;
1853         int4 shift31 = [31, 31, 31, 31]; 
1854         ai = ai >>> shift31;
1855         int4 shift = [0, 1, 2, 3]; 
1856         ai = ai << shift; // 4-way shift, only efficient on ARM.
1857         int r = ai.array[0] + (ai.array[1]) + (ai.array[2]) + (ai.array[3]);
1858         return r;
1859     }
1860     else
1861     {
1862         int4 ai = cast(int4)a;
1863         int r = 0;
1864         if (ai.array[0] < 0) r += 1;
1865         if (ai.array[1] < 0) r += 2;
1866         if (ai.array[2] < 0) r += 4;
1867         if (ai.array[3] < 0) r += 8;
1868         return r;
1869     }
1870 }
1871 unittest
1872 {
1873     int4 A = [-1, 0, -43, 0];
1874     assert(5 == _mm_movemask_ps(cast(float4)A));
1875 }
1876 
1877 /// Multiply packed single-precision (32-bit) floating-point elements in `a` and `b`.
1878 __m128 _mm_mul_ps(__m128 a, __m128 b) pure @safe
1879 {
1880     pragma(inline, true);
1881     return a * b;
1882 }
1883 unittest
1884 {
1885     __m128 a = [1.5f, -2.0f, 3.0f, 1.0f];
1886     a = _mm_mul_ps(a, a);
1887     float[4] correct = [2.25f, 4.0f, 9.0f, 1.0f];
1888     assert(a.array == correct);
1889 }
1890 
1891 /// Multiply the lower single-precision (32-bit) floating-point element in `a` and `b`, store the result in the lower 
1892 /// element of result, and copy the upper 3 packed elements from `a` to the upper elements of result.
1893 __m128 _mm_mul_ss(__m128 a, __m128 b) pure @safe
1894 {
1895     static if (DMD_with_DSIMD)
1896         return cast(__m128) __simd(XMM.MULSS, a, b);
1897     else static if (GDC_with_SSE)
1898         return __builtin_ia32_mulss(a, b);
1899     else
1900     {
1901         a[0] *= b[0];
1902         return a;
1903     }
1904 }
1905 unittest
1906 {
1907     __m128 a = [1.5f, -2.0f, 3.0f, 1.0f];
1908     a = _mm_mul_ss(a, a);
1909     float[4] correct = [2.25f, -2.0f, 3.0f, 1.0f];
1910     assert(a.array == correct);
1911 }
1912 
1913 /// Multiply the packed unsigned 16-bit integers in `a` and `b`, producing intermediate 32-bit integers, 
1914 /// and return the high 16 bits of the intermediate integers.
1915 __m64 _mm_mulhi_pu16 (__m64 a, __m64 b) pure @safe
1916 {
1917     return to_m64(_mm_mulhi_epu16(to_m128i(a), to_m128i(b)));
1918 }
1919 unittest
1920 {
1921     __m64 A = _mm_setr_pi16(0, -16, 2, 3);
1922     __m64 B = _mm_set1_pi16(16384);
1923     short4 R = cast(short4)_mm_mulhi_pu16(A, B);
1924     short[4] correct = [0, 0x3FFC, 0, 0];
1925     assert(R.array == correct);
1926 }
1927 
1928 /// Compute the bitwise OR of packed single-precision (32-bit) floating-point elements in `a` and `b`, and 
1929 /// return the result.
1930 __m128 _mm_or_ps (__m128 a, __m128 b) pure @safe
1931 {
1932     static if (DMD_with_DSIMD)
1933         return cast(__m128)__simd(XMM.ORPS, a, b);
1934     else
1935         return cast(__m128)(cast(__m128i)a | cast(__m128i)b);
1936 }
1937 // TODO unittest and force inline
1938 
1939 deprecated("Use _mm_avg_pu8 instead") alias _m_pavgb = _mm_avg_pu8;///
1940 deprecated("Use _mm_avg_pu16 instead") alias _m_pavgw = _mm_avg_pu16;///
1941 deprecated("Use _mm_extract_pi16 instead") alias _m_pextrw = _mm_extract_pi16;///
1942 deprecated("Use _mm_insert_pi16 instead") alias _m_pinsrw = _mm_insert_pi16;///
1943 deprecated("Use _mm_max_pi16 instead") alias _m_pmaxsw = _mm_max_pi16;///
1944 deprecated("Use _mm_max_pu8 instead") alias _m_pmaxub = _mm_max_pu8;///
1945 deprecated("Use _mm_min_pi16 instead") alias _m_pminsw = _mm_min_pi16;///
1946 deprecated("Use _mm_min_pu8 instead") alias _m_pminub = _mm_min_pu8;///
1947 deprecated("Use _mm_movemask_pi8 instead") alias _m_pmovmskb = _mm_movemask_pi8;///
1948 deprecated("Use _mm_mulhi_pu16 instead") alias _m_pmulhuw = _mm_mulhi_pu16;///
1949 
1950 enum _MM_HINT_T0  = 3; ///
1951 enum _MM_HINT_T1  = 2; ///
1952 enum _MM_HINT_T2  = 1; ///
1953 enum _MM_HINT_NTA = 0; ///
1954 
1955 
1956 version(LDC)
1957 {
1958     // Starting with LLVM 10, it seems llvm.prefetch has changed its name.
1959     // Was reported at: https://github.com/ldc-developers/ldc/issues/3397
1960     static if (__VERSION__ >= 2091) 
1961     {
1962         pragma(LDC_intrinsic, "llvm.prefetch.p0i8") // was "llvm.prefetch"
1963             void llvm_prefetch_fixed(void* ptr, uint rw, uint locality, uint cachetype) pure @safe;
1964     }
1965 }
1966 
1967 /// Fetch the line of data from memory that contains address `p` to a location in the 
1968 /// cache hierarchy specified by the locality hint i.
1969 ///
1970 /// Warning: `locality` is a compile-time parameter, unlike in Intel Intrinsics API.
1971 void _mm_prefetch(int locality)(const(void)* p) pure @trusted
1972 {
1973     static if (GDC_with_SSE)
1974     {
1975         return __builtin_prefetch(p, (locality & 0x4) >> 2, locality & 0x3);
1976     }
1977     else static if (DMD_with_DSIMD)
1978     {
1979         enum bool isWrite = (locality & 0x4) != 0;
1980         enum level = locality & 3;
1981         return prefetch!(isWrite, level)(p);
1982     }
1983     else version(LDC)
1984     {
1985         static if (__VERSION__ >= 2091)
1986         {
1987             // const_cast here. `llvm_prefetch` wants a mutable pointer
1988             llvm_prefetch_fixed( cast(void*)p, 0, locality, 1);
1989         }
1990         else
1991         {
1992             // const_cast here. `llvm_prefetch` wants a mutable pointer
1993             llvm_prefetch( cast(void*)p, 0, locality, 1);
1994         }
1995     }
1996     else version(D_InlineAsm_X86_64)
1997     {
1998         static if (locality == _MM_HINT_NTA)
1999         {
2000             asm pure nothrow @nogc @trusted
2001             {
2002                 mov RAX, p;
2003                 prefetchnta [RAX];
2004             }
2005         }
2006         else static if (locality == _MM_HINT_T0)
2007         {
2008             asm pure nothrow @nogc @trusted
2009             {
2010                 mov RAX, p;
2011                 prefetcht0 [RAX];
2012             }
2013         }
2014         else static if (locality == _MM_HINT_T1)
2015         {
2016             asm pure nothrow @nogc @trusted
2017             {
2018                 mov RAX, p;
2019                 prefetcht1 [RAX];
2020             }
2021         }
2022         else static if (locality == _MM_HINT_T2)
2023         {
2024             asm pure nothrow @nogc @trusted
2025             {
2026                 mov RAX, p;
2027                 prefetcht2 [RAX];
2028             }
2029         }
2030         else
2031             assert(false); // invalid locality hint
2032     }
2033     else version(D_InlineAsm_X86)
2034     {
2035         static if (locality == _MM_HINT_NTA)
2036         {
2037             asm pure nothrow @nogc @trusted
2038             {
2039                 mov EAX, p;
2040                 prefetchnta [EAX];
2041             }
2042         }
2043         else static if (locality == _MM_HINT_T0)
2044         {
2045             asm pure nothrow @nogc @trusted
2046             {
2047                 mov EAX, p;
2048                 prefetcht0 [EAX];
2049             }
2050         }
2051         else static if (locality == _MM_HINT_T1)
2052         {
2053             asm pure nothrow @nogc @trusted
2054             {
2055                 mov EAX, p;
2056                 prefetcht1 [EAX];
2057             }
2058         }
2059         else static if (locality == _MM_HINT_T2)
2060         {
2061             asm pure nothrow @nogc @trusted
2062             {
2063                 mov EAX, p;
2064                 prefetcht2 [EAX];
2065             }
2066         }
2067         else 
2068             assert(false); // invalid locality hint
2069     }
2070     else
2071     {
2072         // Generic version: do nothing. From bitter experience, 
2073         // it's unlikely you get ANY speed-up with manual prefetching.
2074         // Prefetching or not doesn't change program behaviour.
2075     }
2076 }
2077 unittest
2078 {
2079     // From Intel documentation:
2080     // "The amount of data prefetched is also processor implementation-dependent. It will, however, be a minimum of 
2081     // 32 bytes."
2082     ubyte[256] cacheline; // though it seems it cannot generate GP fault
2083     _mm_prefetch!_MM_HINT_T0(cacheline.ptr); 
2084     _mm_prefetch!_MM_HINT_T1(cacheline.ptr); 
2085     _mm_prefetch!_MM_HINT_T2(cacheline.ptr); 
2086     _mm_prefetch!_MM_HINT_NTA(cacheline.ptr); 
2087 }
2088 
2089 deprecated("Use _mm_sad_pu8 instead") alias _m_psadbw = _mm_sad_pu8;///
2090 deprecated("Use _mm_shuffle_pi16 instead") alias _m_pshufw = _mm_shuffle_pi16;///
2091 
2092 
2093 /// Compute the approximate reciprocal of packed single-precision (32-bit) floating-point elements in a`` , 
2094 /// and return the results. The maximum relative error for this approximation is less than 1.5*2^-12.
2095 __m128 _mm_rcp_ps (__m128 a) pure @trusted
2096 {
2097     static if (DMD_with_DSIMD)
2098     {
2099         return cast(__m128) __simd(XMM.RCPPS, a);
2100     }
2101     else static if (GDC_with_SSE)
2102     {
2103         return __builtin_ia32_rcpps(a);
2104     }
2105     else static if (LDC_with_SSE1)
2106     {
2107         return __builtin_ia32_rcpps(a);
2108     }
2109     else
2110     {        
2111         a.ptr[0] = 1.0f / a.array[0];
2112         a.ptr[1] = 1.0f / a.array[1];
2113         a.ptr[2] = 1.0f / a.array[2];
2114         a.ptr[3] = 1.0f / a.array[3];
2115         return a;
2116     }
2117 }
2118 unittest
2119 {
2120     __m128 A = _mm_setr_ps(2.34f, -70000.0f, 0.00001f, 345.5f);
2121     __m128 groundTruth = _mm_set1_ps(1.0f) / A;
2122     __m128 result = _mm_rcp_ps(A);
2123     foreach(i; 0..4)
2124     {
2125         double relError = (cast(double)(groundTruth.array[i]) / result.array[i]) - 1;
2126         assert(abs_double(relError) < 0.00037); // 1.5*2^-12 is 0.00036621093
2127     }
2128 }
2129 
2130 /// Compute the approximate reciprocal of the lower single-precision (32-bit) floating-point element in `a`, store it 
2131 /// in the lower element of the result, and copy the upper 3 packed elements from `a` to the upper elements of result. 
2132 /// The maximum relative error for this approximation is less than 1.5*2^-12.
2133 __m128 _mm_rcp_ss (__m128 a) pure @trusted
2134 {
2135     static if (DMD_with_DSIMD)
2136     {
2137         return cast(__m128) __simd(XMM.RCPSS, a);
2138     }
2139     else static if (GDC_with_SSE)
2140     {
2141         return __builtin_ia32_rcpss(a);
2142     }
2143     else static if (LDC_with_SSE1)
2144     {
2145         return __builtin_ia32_rcpss(a);
2146     }
2147     else
2148     {
2149         a.ptr[0] = 1.0f / a.array[0];
2150         return a;
2151     }
2152 }
2153 unittest
2154 {
2155     __m128 A = _mm_setr_ps(2.34f, -70000.0f, 0.00001f, 345.5f);
2156     __m128 correct = _mm_setr_ps(1 / 2.34f, -70000.0f, 0.00001f, 345.5f);
2157     __m128 R = _mm_rcp_ss(A);
2158     double relError = (cast(double)(correct.array[0]) / R.array[0]) - 1;
2159     assert(abs_double(relError) < 0.00037); // 1.5*2^-12 is 0.00036621093
2160     assert(R.array[1] == correct.array[1]);
2161     assert(R.array[2] == correct.array[2]);
2162     assert(R.array[3] == correct.array[3]);
2163 }
2164 
2165 /// Reallocate `size` bytes of memory, aligned to the alignment specified in `alignment`, 
2166 /// and return a pointer to the newly allocated memory. 
2167 /// `_mm_free` or `alignedRealloc` with size 0 should be used to free memory that is 
2168 /// allocated with `_mm_malloc` or `_mm_realloc`.
2169 /// Previous data is preserved.
2170 void* _mm_realloc(void* aligned, size_t size, size_t alignment) nothrow @nogc // #BONUS
2171 {
2172     return alignedReallocImpl!true(aligned, size, alignment);
2173 }
2174 unittest
2175 {
2176     enum NALLOC = 8;
2177     enum size_t[8] ALIGNMENTS = [1, 2, 4, 8, 16, 32, 64, 128];
2178     
2179     void*[NALLOC] alloc;
2180 
2181     foreach(t; 0..100)
2182     {
2183         foreach(n; 0..NALLOC)
2184         {
2185             size_t alignment = ALIGNMENTS[n];
2186             size_t s = ( (n + t * 69096) & 0xffff );
2187             alloc[n] = _mm_realloc(alloc[n], s, alignment);
2188             assert(isPointerAligned(alloc[n], alignment));
2189             foreach(b; 0..s)
2190                 (cast(ubyte*)alloc[n])[b] = cast(ubyte)n;
2191         }
2192     }
2193     foreach(n; 0..NALLOC)
2194     {
2195         alloc[n] = _mm_realloc(alloc[n], 0, ALIGNMENTS[n]);
2196     }
2197 }
2198 
2199 /// Reallocate `size` bytes of memory, aligned to the alignment specified in `alignment`, 
2200 /// and return a pointer to the newly allocated memory. 
2201 /// `_mm_free` or `alignedRealloc` with size 0 should be used to free memory that is 
2202 /// allocated with `_mm_malloc` or `_mm_realloc`.
2203 /// Previous data is discarded.
2204 void* _mm_realloc_discard(void* aligned, size_t size, size_t alignment) nothrow @nogc // #BONUS
2205 {
2206     return alignedReallocImpl!false(aligned, size, alignment);
2207 }
2208 
2209 /// Compute the approximate reciprocal square root of packed single-precision (32-bit) floating-point elements in `a`. 
2210 /// The maximum relative error for this approximation is less than 1.5*2^-12.
2211 __m128 _mm_rsqrt_ps (__m128 a) pure @trusted
2212 {
2213     static if (DMD_with_DSIMD)
2214     {
2215         return cast(__m128) __simd(XMM.RSQRTPS, a);
2216     }
2217     else static if (GDC_with_SSE)
2218     {
2219         return __builtin_ia32_rsqrtps(a);
2220     }
2221     else static if (LDC_with_SSE1)
2222     {
2223         return __builtin_ia32_rsqrtps(a);
2224     }
2225     else version(LDC)
2226     {
2227         a[0] = 1.0f / llvm_sqrt(a[0]);
2228         a[1] = 1.0f / llvm_sqrt(a[1]);
2229         a[2] = 1.0f / llvm_sqrt(a[2]);
2230         a[3] = 1.0f / llvm_sqrt(a[3]);
2231         return a;
2232     }
2233     else
2234     {
2235         a.ptr[0] = 1.0f / sqrt(a.array[0]);
2236         a.ptr[1] = 1.0f / sqrt(a.array[1]);
2237         a.ptr[2] = 1.0f / sqrt(a.array[2]);
2238         a.ptr[3] = 1.0f / sqrt(a.array[3]);
2239         return a;
2240     }
2241 }
2242 unittest
2243 {
2244     __m128 A = _mm_setr_ps(2.34f, 70000.0f, 0.00001f, 345.5f);
2245     __m128 groundTruth = _mm_setr_ps(0.65372045f, 0.00377964473f, 316.227766f, 0.05379921937f);
2246     __m128 result = _mm_rsqrt_ps(A);
2247     foreach(i; 0..4)
2248     {
2249         double relError = (cast(double)(groundTruth.array[i]) / result.array[i]) - 1;
2250         assert(abs_double(relError) < 0.00037); // 1.5*2^-12 is 0.00036621093
2251     }
2252 }
2253 
2254 /// Compute the approximate reciprocal square root of the lower single-precision (32-bit) floating-point element in `a`,
2255 /// store the result in the lower element. Copy the upper 3 packed elements from `a` to the upper elements of result. 
2256 /// The maximum relative error for this approximation is less than 1.5*2^-12.
2257 __m128 _mm_rsqrt_ss (__m128 a) pure @trusted
2258 {   
2259     static if (DMD_with_DSIMD)
2260     {
2261         return cast(__m128) __simd(XMM.RSQRTSS, a);
2262     }
2263     else static if (GDC_with_SSE)
2264     {
2265         return __builtin_ia32_rsqrtss(a);
2266     }
2267     else static if (LDC_with_SSE1)
2268     {
2269         return __builtin_ia32_rsqrtss(a);
2270     }
2271     else version(LDC)
2272     {
2273         a[0] = 1.0f / llvm_sqrt(a[0]);
2274         return a;
2275     }
2276     else
2277     {
2278         a[0] = 1.0f / sqrt(a[0]);
2279         return a;
2280     }
2281 }
2282 unittest // this one test 4 different intrinsics: _mm_rsqrt_ss, _mm_rsqrt_ps, _mm_rcp_ps, _mm_rcp_ss
2283 {
2284     double maxRelativeError = 0.000245; // -72 dB, stuff is apparently more precise than said in the doc?
2285     void testApproximateSSE(float number) nothrow @nogc
2286     {
2287         __m128 A = _mm_set1_ps(number);
2288 
2289         // test _mm_rcp_ps
2290         __m128 B = _mm_rcp_ps(A);
2291         foreach(i; 0..4)
2292         {
2293             double exact = 1.0f / A.array[i];
2294             double ratio = cast(double)(B.array[i]) / cast(double)(exact);
2295             assert(abs_double(ratio - 1) <= maxRelativeError);
2296         }
2297 
2298         // test _mm_rcp_ss
2299         {
2300             B = _mm_rcp_ss(A);
2301             double exact = 1.0f / A.array[0];
2302             double ratio = cast(double)(B.array[0]) / cast(double)(exact);
2303             assert(abs_double(ratio - 1) <= maxRelativeError);
2304         }
2305 
2306         // test _mm_rsqrt_ps
2307         B = _mm_rsqrt_ps(A);
2308         foreach(i; 0..4)
2309         {
2310             double exact = 1.0f / sqrt(A.array[i]);
2311             double ratio = cast(double)(B.array[i]) / cast(double)(exact);
2312             assert(abs_double(ratio - 1) <= maxRelativeError);
2313         }
2314 
2315         // test _mm_rsqrt_ss
2316         {
2317             B = _mm_rsqrt_ss(A);
2318             double exact = 1.0f / sqrt(A.array[0]);
2319             double ratio = cast(double)(B.array[0]) / cast(double)(exact);
2320             assert(abs_double(ratio - 1) <= maxRelativeError);
2321         }
2322     }
2323 
2324     testApproximateSSE(0.00001f);
2325     testApproximateSSE(1.1f);
2326     testApproximateSSE(345.0f);
2327     testApproximateSSE(2.45674864151f);
2328     testApproximateSSE(700000.0f);
2329     testApproximateSSE(10000000.0f);
2330     testApproximateSSE(27841456468.0f);
2331 }
2332 
2333 /// Compute the absolute differences of packed unsigned 8-bit integers in `a` and `b`, then horizontally sum each 
2334 /// consecutive 8 differences to produce four unsigned 16-bit integers, and pack these unsigned 16-bit integers in the 
2335 /// low 16 bits of result.
2336 __m64 _mm_sad_pu8 (__m64 a, __m64 b) pure @safe
2337 {
2338     return to_m64(_mm_sad_epu8(to_m128i(a), to_m128i(b)));
2339 }
2340 
2341 /// Set the exception mask bits of the MXCSR control and status register to the value in unsigned 32-bit integer 
2342 /// `_MM_MASK_xxxx`. The exception mask may contain any of the following flags: `_MM_MASK_INVALID`, `_MM_MASK_DIV_ZERO`,
2343 /// `_MM_MASK_DENORM`, `_MM_MASK_OVERFLOW`, `_MM_MASK_UNDERFLOW`, `_MM_MASK_INEXACT`.
2344 void _MM_SET_EXCEPTION_MASK(int _MM_MASK_xxxx) @safe
2345 {
2346     // Note: unsupported on ARM
2347     _mm_setcsr((_mm_getcsr() & ~_MM_MASK_MASK) | _MM_MASK_xxxx);
2348 }
2349 
2350 /// Set the exception state bits of the MXCSR control and status register to the value in unsigned 32-bit integer 
2351 /// `_MM_EXCEPT_xxxx`. The exception state may contain any of the following flags: `_MM_EXCEPT_INVALID`, 
2352 /// `_MM_EXCEPT_DIV_ZERO`, `_MM_EXCEPT_DENORM`, `_MM_EXCEPT_OVERFLOW`, `_MM_EXCEPT_UNDERFLOW`, `_MM_EXCEPT_INEXACT`.
2353 void _MM_SET_EXCEPTION_STATE(int _MM_EXCEPT_xxxx) @safe
2354 {
2355     // Note: unsupported on ARM
2356     _mm_setcsr((_mm_getcsr() & ~_MM_EXCEPT_MASK) | _MM_EXCEPT_xxxx);
2357 }
2358 
2359 /// Set the flush zero bits of the MXCSR control and status register to the value in unsigned 32-bit integer 
2360 /// `_MM_FLUSH_xxxx`. The flush zero may contain any of the following flags: `_MM_FLUSH_ZERO_ON` or `_MM_FLUSH_ZERO_OFF`.
2361 void _MM_SET_FLUSH_ZERO_MODE(int _MM_FLUSH_xxxx) @safe
2362 {
2363     _mm_setcsr((_mm_getcsr() & ~_MM_FLUSH_ZERO_MASK) | _MM_FLUSH_xxxx);
2364 }
2365 
2366 /// Set packed single-precision (32-bit) floating-point elements with the supplied values.
2367 __m128 _mm_set_ps (float e3, float e2, float e1, float e0) pure @trusted
2368 {
2369     // Note: despite appearances, generates sensible code,
2370     //       inlines correctly and is constant folded
2371     float[4] result = [e0, e1, e2, e3];
2372     return loadUnaligned!(float4)(result.ptr);
2373 }
2374 unittest
2375 {
2376     __m128 A = _mm_set_ps(3, 2, 1, 546);
2377     float[4] correct = [546.0f, 1.0f, 2.0f, 3.0f];
2378     assert(A.array == correct);
2379 }
2380 
2381 deprecated("Use _mm_set1_ps instead") alias _mm_set_ps1 = _mm_set1_ps; ///
2382 
2383 /// Set the rounding mode bits of the MXCSR control and status register to the value in unsigned 32-bit integer 
2384 /// `_MM_ROUND_xxxx`. The rounding mode may contain any of the following flags: `_MM_ROUND_NEAREST`, `_MM_ROUND_DOWN`, 
2385 /// `_MM_ROUND_UP`, `_MM_ROUND_TOWARD_ZERO`.
2386 void _MM_SET_ROUNDING_MODE(int _MM_ROUND_xxxx) @safe
2387 {
2388     // Work-around for https://gcc.gnu.org/bugzilla/show_bug.cgi?id=98607
2389     version(GNU) asm @trusted { "" : : : "memory"; }
2390     _mm_setcsr((_mm_getcsr() & ~_MM_ROUND_MASK) | _MM_ROUND_xxxx);
2391 }
2392 
2393 /// Copy single-precision (32-bit) floating-point element `a` to the lower element of result, and zero the upper 3 elements.
2394 __m128 _mm_set_ss (float a) pure @trusted
2395 {
2396     static if (DMD_with_DSIMD)
2397     {
2398         return cast(__m128) __simd(XMM.LODSS, a);
2399     }
2400     else
2401     {
2402         __m128 r = _mm_setzero_ps();
2403         r.ptr[0] = a;
2404         return r;
2405     }
2406 }
2407 unittest
2408 {
2409     float[4] correct = [42.0f, 0.0f, 0.0f, 0.0f];
2410     __m128 A = _mm_set_ss(42.0f);
2411     assert(A.array == correct);
2412 }
2413 
2414 /// Broadcast single-precision (32-bit) floating-point value `a` to all elements.
2415 __m128 _mm_set1_ps (float a) pure @trusted
2416 {
2417     pragma(inline, true);
2418     __m128 r = a;
2419     return r;
2420 }
2421 unittest
2422 {
2423     float[4] correct = [42.0f, 42.0f, 42.0f, 42.0f];
2424     __m128 A = _mm_set1_ps(42.0f);
2425     assert(A.array == correct);
2426 }
2427 
2428 /// Set the MXCSR control and status register with the value in unsigned 32-bit integer `controlWord`.
2429 void _mm_setcsr(uint controlWord) @trusted
2430 {
2431     static if (LDC_with_ARM)
2432     {
2433         // Convert from SSE to ARM control word. This is done _partially_
2434         // and only support rounding mode changes.
2435 
2436         // "To alter some bits of a VFP system register without 
2437         // affecting other bits, use a read-modify-write procedure"
2438         uint fpscr = arm_get_fpcr();
2439         
2440         // Bits 23 to 22 are rounding modes, however not used in NEON
2441         fpscr = fpscr & ~_MM_ROUND_MASK_ARM;
2442         switch(controlWord & _MM_ROUND_MASK)
2443         {
2444             default:
2445             case _MM_ROUND_NEAREST:     fpscr |= _MM_ROUND_NEAREST_ARM;     break;
2446             case _MM_ROUND_DOWN:        fpscr |= _MM_ROUND_DOWN_ARM;        break;
2447             case _MM_ROUND_UP:          fpscr |= _MM_ROUND_UP_ARM;          break;
2448             case _MM_ROUND_TOWARD_ZERO: fpscr |= _MM_ROUND_TOWARD_ZERO_ARM; break;
2449         }
2450         fpscr = fpscr & ~_MM_FLUSH_ZERO_MASK_ARM;
2451         if (controlWord & _MM_FLUSH_ZERO_MASK)
2452             fpscr |= _MM_FLUSH_ZERO_MASK_ARM;
2453         arm_set_fpcr(fpscr);
2454     }
2455     else version(GNU)
2456     {
2457         static if (GDC_with_SSE)
2458         {
2459             // Work-around for https://gcc.gnu.org/bugzilla/show_bug.cgi?id=98607
2460             version(GNU) asm @trusted { "" : : : "memory"; }
2461             __builtin_ia32_ldmxcsr(controlWord);
2462         }
2463         else version(X86)
2464         {
2465             asm nothrow @nogc @trusted
2466             {
2467                 "ldmxcsr %0;\n" 
2468                   : 
2469                   : "m" (controlWord)
2470                   : ;
2471             }
2472         }
2473         else
2474             static assert(false);
2475     }
2476     else version (InlineX86Asm)
2477     {
2478         asm nothrow @nogc @safe
2479         {
2480             ldmxcsr controlWord;
2481         }
2482     }
2483     else
2484         static assert(0, "Not yet supported");
2485 }
2486 unittest
2487 {
2488     _mm_setcsr(_mm_getcsr());
2489 }
2490 
2491 /// Set packed single-precision (32-bit) floating-point elements with the supplied values in reverse order.
2492 __m128 _mm_setr_ps (float e3, float e2, float e1, float e0) pure @trusted
2493 {
2494     pragma(inline, true);        
2495     version(LDC)
2496     {
2497         float[4] result = [e3, e2, e1, e0];
2498         return loadUnaligned!(float4)(result.ptr);
2499     }
2500     else
2501     {
2502         __m128 r;
2503         r.ptr[0] = e3;
2504         r.ptr[1] = e2;
2505         r.ptr[2] = e1;
2506         r.ptr[3] = e0;
2507         return r;
2508     }
2509 }
2510 unittest
2511 {
2512     __m128 A = _mm_setr_ps(3, 2, 1, 546);
2513     float[4] correct = [3.0f, 2.0f, 1.0f, 546.0f];
2514     assert(A.array == correct);
2515     assert(A.array[0] == 3.0f);
2516     assert(A.array[1] == 2.0f);
2517     assert(A.array[2] == 1.0f);
2518     assert(A.array[3] == 546.0f);
2519 }
2520 
2521 /// Return vector of type `__m128` with all elements set to zero.
2522 __m128 _mm_setzero_ps() pure @trusted
2523 {
2524     pragma(inline, true);
2525     float4 r;
2526     r = 0.0f;
2527     return r;
2528 }
2529 unittest
2530 {
2531     __m128 R = _mm_setzero_ps();
2532     float[4] correct = [0.0f, 0, 0, 0];
2533     assert(R.array == correct);
2534 }
2535 
2536 /// Perform a serializing operation on all store-to-memory instructions that were issued prior 
2537 /// to this instruction. Guarantees that every store instruction that precedes, in program order, 
2538 /// is globally visible before any store instruction which follows the fence in program order.
2539 void _mm_sfence() @trusted
2540 {
2541     version(GNU)
2542     {
2543         static if (GDC_with_SSE)
2544         {
2545             __builtin_ia32_sfence();
2546         }
2547         else version(X86)
2548         {
2549             asm pure nothrow @nogc @trusted
2550             {
2551                 "sfence;\n" : : : ;
2552             }
2553         }
2554         else
2555             static assert(false);
2556     }
2557     else static if (LDC_with_SSE1)
2558     {
2559         __builtin_ia32_sfence();
2560     }
2561     else static if (DMD_with_asm)
2562     {
2563         asm nothrow @nogc pure @safe
2564         {
2565             sfence;
2566         }
2567     }
2568     else version(LDC)
2569     {
2570         llvm_memory_fence(); // PERF: this generates mfence instead of sfence
2571     }
2572     else
2573         static assert(false);
2574 }
2575 unittest
2576 {
2577     _mm_sfence();
2578 }
2579 
2580 /// Warning: the immediate shuffle value `imm8` is given at compile-time instead of runtime.
2581 __m64 _mm_shuffle_pi16(int imm8)(__m64 a) pure @safe
2582 {
2583     return cast(__m64) shufflevector!(short4, ( (imm8 >> 0) & 3 ),
2584                                               ( (imm8 >> 2) & 3 ),
2585                                               ( (imm8 >> 4) & 3 ),
2586                                               ( (imm8 >> 6) & 3 ))(cast(short4)a, cast(short4)a);
2587 }
2588 unittest
2589 {
2590     __m64 A = _mm_setr_pi16(0, 1, 2, 3);
2591     enum int SHUFFLE = _MM_SHUFFLE(0, 1, 2, 3);
2592     short4 B = cast(short4) _mm_shuffle_pi16!SHUFFLE(A);
2593     short[4] expectedB = [ 3, 2, 1, 0 ];
2594     assert(B.array == expectedB);
2595 }
2596 
2597 /// Warning: the immediate shuffle value `imm8` is given at compile-time instead of runtime.
2598 __m128 _mm_shuffle_ps(ubyte imm)(__m128 a, __m128 b) pure @safe
2599 {
2600     return shufflevector!(__m128, imm & 3, (imm>>2) & 3, 4 + ((imm>>4) & 3), 4 + ((imm>>6) & 3) )(a, b);
2601 }
2602 
2603 /// Compute the square root of packed single-precision (32-bit) floating-point elements in `a`.
2604 __m128 _mm_sqrt_ps(__m128 a) @trusted
2605 {
2606     static if (GDC_with_SSE)
2607     {
2608         return __builtin_ia32_sqrtps(a);
2609     }
2610     else version(LDC)
2611     {
2612         // Disappeared with LDC 1.11
2613         static if (__VERSION__ < 2081)
2614             return __builtin_ia32_sqrtps(a);
2615         else
2616         {
2617             a[0] = llvm_sqrt(a[0]);
2618             a[1] = llvm_sqrt(a[1]);
2619             a[2] = llvm_sqrt(a[2]);
2620             a[3] = llvm_sqrt(a[3]);
2621             return a;
2622         }
2623     }
2624     else
2625     {
2626         a.ptr[0] = sqrt(a.array[0]);
2627         a.ptr[1] = sqrt(a.array[1]);
2628         a.ptr[2] = sqrt(a.array[2]);
2629         a.ptr[3] = sqrt(a.array[3]);
2630         return a;
2631     }
2632 }
2633 unittest
2634 {
2635     __m128 A = _mm_sqrt_ps(_mm_set1_ps(4.0f));
2636     assert(A.array[0] == 2.0f);
2637     assert(A.array[1] == 2.0f);
2638     assert(A.array[2] == 2.0f);
2639     assert(A.array[3] == 2.0f);
2640 }
2641 
2642 /// Compute the square root of the lower single-precision (32-bit) floating-point element in `a`, store it in the lower
2643 /// element, and copy the upper 3 packed elements from `a` to the upper elements of result.
2644 __m128 _mm_sqrt_ss(__m128 a) @trusted
2645 {
2646     static if (GDC_with_SSE)
2647     {
2648         return __builtin_ia32_sqrtss(a);
2649     }
2650     else version(LDC)
2651     {
2652         a.ptr[0] = llvm_sqrt(a.array[0]);
2653         return a;
2654     }
2655     else
2656     {   
2657         a.ptr[0] = sqrt(a.array[0]);
2658         return a;
2659     }
2660 }
2661 unittest
2662 {
2663     __m128 A = _mm_sqrt_ss(_mm_set1_ps(4.0f));
2664     assert(A.array[0] == 2.0f);
2665     assert(A.array[1] == 4.0f);
2666     assert(A.array[2] == 4.0f);
2667     assert(A.array[3] == 4.0f);
2668 }
2669 
2670 /// Store 128-bits (composed of 4 packed single-precision (32-bit) floating-point elements) from `a` into memory. 
2671 /// `mem_addr` must be aligned on a 16-byte boundary or a general-protection exception may be generated.
2672 void _mm_store_ps (float* mem_addr, __m128 a) pure
2673 {
2674     pragma(inline, true);
2675     __m128* aligned = cast(__m128*)mem_addr;
2676     *aligned = a;
2677 }
2678 
2679 deprecated("Use _mm_store1_ps instead") alias _mm_store_ps1 = _mm_store1_ps; ///
2680 
2681 /// Store the lower single-precision (32-bit) floating-point element from `a` into memory. 
2682 /// `mem_addr` does not need to be aligned on any particular boundary.
2683 void _mm_store_ss (float* mem_addr, __m128 a) pure @safe
2684 {
2685     pragma(inline, true);
2686     *mem_addr = a.array[0];
2687 }
2688 unittest
2689 {
2690     float a;
2691     _mm_store_ss(&a, _mm_set_ps(3, 2, 1, 546));
2692     assert(a == 546);
2693 }
2694 
2695 /// Store the lower single-precision (32-bit) floating-point element from `a` into 4 contiguous elements in memory. 
2696 /// `mem_addr` must be aligned on a 16-byte boundary or a general-protection exception may be generated.
2697 void _mm_store1_ps(float* mem_addr, __m128 a) pure @trusted // TODO: shouldn't be trusted
2698 {
2699     __m128* aligned = cast(__m128*)mem_addr;
2700     __m128 r;
2701     r.ptr[0] = a.array[0];
2702     r.ptr[1] = a.array[0];
2703     r.ptr[2] = a.array[0];
2704     r.ptr[3] = a.array[0];
2705     *aligned = r;
2706 }
2707 unittest
2708 {
2709     align(16) float[4] A;
2710     _mm_store1_ps(A.ptr, _mm_set_ss(42.0f));
2711     float[4] correct = [42.0f, 42, 42, 42];
2712     assert(A == correct);
2713 }
2714 
2715 /// Store the upper 2 single-precision (32-bit) floating-point elements from `a` into memory.
2716 void _mm_storeh_pi(__m64* p, __m128 a) pure @trusted
2717 {
2718     pragma(inline, true);
2719     long2 la = cast(long2)a;
2720     (*p).ptr[0] = la.array[1];
2721 }
2722 unittest
2723 {
2724     __m64 R = _mm_setzero_si64();
2725     long2 A = [13, 25];
2726     _mm_storeh_pi(&R, cast(__m128)A);
2727     assert(R.array[0] == 25);
2728 }
2729 
2730 /// Store the lower 2 single-precision (32-bit) floating-point elements from `a` into memory.
2731 void _mm_storel_pi(__m64* p, __m128 a) pure @trusted
2732 {
2733     pragma(inline, true);
2734     long2 la = cast(long2)a;
2735     (*p).ptr[0] = la.array[0];
2736 }
2737 unittest
2738 {
2739     __m64 R = _mm_setzero_si64();
2740     long2 A = [13, 25];
2741     _mm_storel_pi(&R, cast(__m128)A);
2742     assert(R.array[0] == 13);
2743 }
2744 
2745 /// Store 4 single-precision (32-bit) floating-point elements from `a` into memory in reverse order. 
2746 /// `mem_addr` must be aligned on a 16-byte boundary or a general-protection exception may be generated.
2747 void _mm_storer_ps(float* mem_addr, __m128 a) pure @trusted // TODO should not be trusted
2748 {
2749     __m128* aligned = cast(__m128*)mem_addr;
2750     __m128 r;
2751     r.ptr[0] = a.array[3];
2752     r.ptr[1] = a.array[2];
2753     r.ptr[2] = a.array[1];
2754     r.ptr[3] = a.array[0];
2755     *aligned = r;
2756 }
2757 unittest
2758 {
2759     align(16) float[4] A;
2760     _mm_storer_ps(A.ptr, _mm_setr_ps(1.0f, 2, 3, 4));
2761     float[4] correct = [4.0f, 3.0f, 2.0f, 1.0f];
2762     assert(A == correct);
2763 }
2764 
2765 /// Store 128-bits (composed of 4 packed single-precision (32-bit) floating-point elements) from `a` into memory. 
2766 /// `mem_addr` does not need to be aligned on any particular boundary.
2767 void _mm_storeu_ps(float* mem_addr, __m128 a) pure @safe // TODO should not be trusted
2768 {
2769     pragma(inline, true);
2770     storeUnaligned!(float4)(a, mem_addr);
2771 }
2772 
2773 /// Store 64-bits of integer data from `a` into memory using a non-temporal memory hint.
2774 void _mm_stream_pi (__m64* mem_addr, __m64 a)
2775 {
2776     // BUG see `_mm_stream_ps` for an explanation why we don't implement non-temporal moves
2777     *mem_addr = a; // it's a regular move instead
2778 }
2779 
2780 /// Store 128-bits (composed of 4 packed single-precision (32-bit) floating-point elements) from `a`s into memory using
2781 /// a non-temporal memory hint. mem_addr must be aligned on a 16-byte boundary or a general-protection exception may be
2782 /// generated.
2783 void _mm_stream_ps (float* mem_addr, __m128 a)
2784 {
2785     // BUG: can't implement non-temporal store with LDC inlineIR since !nontemporal
2786     // needs some IR outside this function that would say:
2787     //
2788     //  !0 = !{ i32 1 }
2789     //
2790     // It's a LLVM IR metadata description.
2791     __m128* dest = cast(__m128*)mem_addr;
2792     *dest = a; // it's a regular move instead
2793 }
2794 unittest
2795 {
2796     align(16) float[4] A;
2797     _mm_stream_ps(A.ptr, _mm_set1_ps(78.0f));
2798     assert(A[0] == 78.0f && A[1] == 78.0f && A[2] == 78.0f && A[3] == 78.0f);
2799 }
2800 
2801 /// Subtract packed single-precision (32-bit) floating-point elements in `b` from packed single-precision (32-bit) 
2802 /// floating-point elements in `a`.
2803 __m128 _mm_sub_ps(__m128 a, __m128 b) pure @safe
2804 {
2805     pragma(inline, true);
2806     return a - b;
2807 }
2808 unittest
2809 {
2810     __m128 a = [1.5f, -2.0f, 3.0f, 1.0f];
2811     a = _mm_sub_ps(a, a);
2812     float[4] correct = [0.0f, 0.0f, 0.0f, 0.0f];
2813     assert(a.array == correct);
2814 }
2815 
2816 /// Subtract the lower single-precision (32-bit) floating-point element in `b` from the lower single-precision (32-bit)
2817 /// floating-point element in `a`, store the subtration result in the lower element of result, and copy the upper 3 
2818 /// packed elements from a to the upper elements of result.
2819 __m128 _mm_sub_ss(__m128 a, __m128 b) pure @safe
2820 {
2821     static if (DMD_with_DSIMD)
2822         return cast(__m128) __simd(XMM.SUBSS, a, b);
2823     else static if (GDC_with_SSE)
2824         return __builtin_ia32_subss(a, b);
2825     else
2826     {
2827         a[0] -= b[0];
2828         return a;
2829     }
2830 }
2831 unittest
2832 {
2833     __m128 a = [1.5f, -2.0f, 3.0f, 1.0f];
2834     a = _mm_sub_ss(a, a);
2835     float[4] correct = [0.0f, -2.0, 3.0f, 1.0f];
2836     assert(a.array == correct);
2837 }
2838 
2839 /// Transpose the 4x4 matrix formed by the 4 rows of single-precision (32-bit) floating-point elements in row0, row1, 
2840 /// row2, and row3, and store the transposed matrix in these vectors (row0 now contains column 0, etc.).
2841 void _MM_TRANSPOSE4_PS (ref __m128 row0, ref __m128 row1, ref __m128 row2, ref __m128 row3) pure @safe
2842 {
2843     __m128 tmp3, tmp2, tmp1, tmp0;
2844     tmp0 = _mm_unpacklo_ps(row0, row1);
2845     tmp2 = _mm_unpacklo_ps(row2, row3);
2846     tmp1 = _mm_unpackhi_ps(row0, row1);
2847     tmp3 = _mm_unpackhi_ps(row2, row3);
2848     row0 = _mm_movelh_ps(tmp0, tmp2);
2849     row1 = _mm_movehl_ps(tmp2, tmp0);
2850     row2 = _mm_movelh_ps(tmp1, tmp3);
2851     row3 = _mm_movehl_ps(tmp3, tmp1);
2852 }
2853 unittest
2854 {
2855     __m128 l0 = _mm_setr_ps(0, 1, 2, 3);
2856     __m128 l1 = _mm_setr_ps(4, 5, 6, 7);
2857     __m128 l2 = _mm_setr_ps(8, 9, 10, 11);
2858     __m128 l3 = _mm_setr_ps(12, 13, 14, 15);
2859     _MM_TRANSPOSE4_PS(l0, l1, l2, l3);
2860     float[4] r0 = [0.0f, 4, 8, 12];
2861     float[4] r1 = [1.0f, 5, 9, 13];
2862     float[4] r2 = [2.0f, 6, 10, 14];
2863     float[4] r3 = [3.0f, 7, 11, 15];
2864     assert(l0.array == r0);
2865     assert(l1.array == r1);
2866     assert(l2.array == r2);
2867     assert(l3.array == r3);
2868 }
2869 
2870 // Note: the only difference between these intrinsics is the signalling
2871 //       behaviour of quiet NaNs. This is incorrect but the case where
2872 //       you would want to differentiate between qNaN and sNaN and then
2873 //       treat them differently on purpose seems extremely rare.
2874 alias _mm_ucomieq_ss = _mm_comieq_ss;
2875 alias _mm_ucomige_ss = _mm_comige_ss;
2876 alias _mm_ucomigt_ss = _mm_comigt_ss;
2877 alias _mm_ucomile_ss = _mm_comile_ss;
2878 alias _mm_ucomilt_ss = _mm_comilt_ss;
2879 alias _mm_ucomineq_ss = _mm_comineq_ss;
2880 
2881 /// Return vector of type `__m128` with undefined elements.
2882 __m128 _mm_undefined_ps() pure @safe
2883 {
2884     pragma(inline, true);
2885     __m128 undef = void;
2886     return undef;
2887 }
2888 
2889 /// Unpack and interleave single-precision (32-bit) floating-point elements from the high half `a` and `b`.
2890 __m128 _mm_unpackhi_ps (__m128 a, __m128 b) pure @trusted
2891 {
2892     version(LDC)
2893     {
2894         // x86: plain version generates unpckhps with LDC 1.0.0 -O1, but shufflevector 8 less instructions in -O0
2895         return shufflevectorLDC!(__m128, 2, 6, 3, 7)(a, b);
2896     }
2897     else
2898     {
2899         __m128 r;
2900         r.ptr[0] = a.array[2];
2901         r.ptr[1] = b.array[2];
2902         r.ptr[2] = a.array[3];
2903         r.ptr[3] = b.array[3];
2904         return r;
2905     }
2906 }
2907 unittest
2908 {
2909     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, 4.0f);
2910     __m128 B = _mm_setr_ps(5.0f, 6.0f, 7.0f, 8.0f);
2911     __m128 R = _mm_unpackhi_ps(A, B);
2912     float[4] correct = [3.0f, 7.0f, 4.0f, 8.0f];
2913     assert(R.array == correct);
2914 }
2915 
2916 /// Unpack and interleave single-precision (32-bit) floating-point elements from the low half of `a` and `b`.
2917 __m128 _mm_unpacklo_ps (__m128 a, __m128 b) pure @trusted
2918 {
2919     version(LDC)
2920     {
2921         // x86: plain version generates unpckhps with LDC 1.0.0 -O1, but shufflevector 8 less instructions in -O0
2922         return shufflevectorLDC!(__m128, 0, 4, 1, 5)(a, b);
2923     }
2924     else
2925     {
2926         __m128 r;
2927         r.ptr[0] = a.array[0];
2928         r.ptr[1] = b.array[0];
2929         r.ptr[2] = a.array[1];
2930         r.ptr[3] = b.array[1];
2931         return r;
2932     }
2933 }
2934 unittest
2935 {
2936     __m128 A = _mm_setr_ps(1.0f, 2.0f, 3.0f, 4.0f);
2937     __m128 B = _mm_setr_ps(5.0f, 6.0f, 7.0f, 8.0f);
2938     __m128 R = _mm_unpacklo_ps(A, B);
2939     float[4] correct = [1.0f, 5.0f, 2.0f, 6.0f];
2940     assert(R.array == correct);
2941 }
2942 
2943 /// Compute the bitwise XOR of packed single-precision (32-bit) floating-point elements in `a` and `b`.
2944 __m128 _mm_xor_ps (__m128 a, __m128 b) pure @safe
2945 {
2946     return cast(__m128)(cast(__m128i)a ^ cast(__m128i)b);
2947 }
2948 // TODO unittest and force inline
2949 
2950 private
2951 {
2952     // Returns: `true` if the pointer is suitably aligned.
2953     bool isPointerAligned(void* p, size_t alignment) pure
2954     {
2955         assert(alignment != 0);
2956         return ( cast(size_t)p & (alignment - 1) ) == 0;
2957     }
2958 
2959     // Returns: next pointer aligned with alignment bytes.
2960     void* nextAlignedPointer(void* start, size_t alignment) pure
2961     {
2962         return cast(void*)nextMultipleOf(cast(size_t)(start), alignment);
2963     }
2964 
2965     // Returns number of bytes to actually allocate when asking
2966     // for a particular alignment
2967     @nogc size_t requestedSize(size_t askedSize, size_t alignment) pure
2968     {
2969         enum size_t pointerSize = size_t.sizeof;
2970         return askedSize + alignment - 1 + pointerSize * 3;
2971     }
2972 
2973     // Store pointer given by malloc + size + alignment
2974     @nogc void* storeRawPointerPlusInfo(void* raw, size_t size, size_t alignment) pure
2975     {
2976         enum size_t pointerSize = size_t.sizeof;
2977         char* start = cast(char*)raw + pointerSize * 3;
2978         void* aligned = nextAlignedPointer(start, alignment);
2979         void** rawLocation = cast(void**)(cast(char*)aligned - pointerSize);
2980         *rawLocation = raw;
2981         size_t* sizeLocation = cast(size_t*)(cast(char*)aligned - 2 * pointerSize);
2982         *sizeLocation = size;
2983         size_t* alignmentLocation = cast(size_t*)(cast(char*)aligned - 3 * pointerSize);
2984         *alignmentLocation = alignment;
2985         assert( isPointerAligned(aligned, alignment) );
2986         return aligned;
2987     }
2988 
2989     // Returns: x, multiple of powerOfTwo, so that x >= n.
2990     @nogc size_t nextMultipleOf(size_t n, size_t powerOfTwo) pure nothrow
2991     {
2992         // check power-of-two
2993         assert( (powerOfTwo != 0) && ((powerOfTwo & (powerOfTwo - 1)) == 0));
2994 
2995         size_t mask = ~(powerOfTwo - 1);
2996         return (n + powerOfTwo - 1) & mask;
2997     }
2998 
2999     void* alignedReallocImpl(bool PreserveDataIfResized)(void* aligned, size_t size, size_t alignment)
3000     {
3001         if (aligned is null)
3002             return _mm_malloc(size, alignment);
3003 
3004         assert(alignment != 0);
3005         assert(isPointerAligned(aligned, alignment));
3006 
3007         size_t previousSize = *cast(size_t*)(cast(char*)aligned - size_t.sizeof * 2);
3008         size_t prevAlignment = *cast(size_t*)(cast(char*)aligned - size_t.sizeof * 3);
3009 
3010         // It is illegal to change the alignment across calls.
3011         assert(prevAlignment == alignment);
3012 
3013         void* raw = *cast(void**)(cast(char*)aligned - size_t.sizeof);
3014         size_t request = requestedSize(size, alignment);
3015         size_t previousRequest = requestedSize(previousSize, alignment);
3016         assert(previousRequest - request == previousSize - size);
3017 
3018         // Heuristic: if a requested size is within 50% to 100% of what is already allocated
3019         //            then exit with the same pointer
3020         // PERF it seems like `realloc` should do that, not us.
3021         if ( (previousRequest < request * 4) && (request <= previousRequest) )
3022             return aligned;
3023 
3024         void* newRaw = malloc(request);
3025         if (request > 0 && newRaw == null) // realloc(0) can validly return anything
3026             onOutOfMemoryError();
3027 
3028         void* newAligned = storeRawPointerPlusInfo(newRaw, size, alignment);
3029 
3030         static if (PreserveDataIfResized)
3031         {
3032             size_t minSize = size < previousSize ? size : previousSize;
3033             memcpy(newAligned, aligned, minSize);
3034         }
3035 
3036         // Free previous data
3037         _mm_free(aligned);
3038         assert(isPointerAligned(newAligned, alignment));
3039         return newAligned;
3040     }
3041 }
3042 
3043 unittest
3044 {
3045     assert(nextMultipleOf(0, 4) == 0);
3046     assert(nextMultipleOf(1, 4) == 4);
3047     assert(nextMultipleOf(2, 4) == 4);
3048     assert(nextMultipleOf(3, 4) == 4);
3049     assert(nextMultipleOf(4, 4) == 4);
3050     assert(nextMultipleOf(5, 4) == 8);
3051 
3052     {
3053         void* p = _mm_malloc(23, 16);
3054         assert(p !is null);
3055         assert(((cast(size_t)p) & 0xf) == 0);
3056         _mm_free(p);
3057     }
3058 
3059     void* nullAlloc = _mm_malloc(0, 32);
3060     assert(nullAlloc != null);
3061     _mm_free(nullAlloc);
3062 }
3063 
3064 // For some reason, order of declaration is important for this one
3065 // so it is misplaced.
3066 // Note: is just another name for _mm_cvtss_si32
3067 alias _mm_cvt_ss2si = _mm_cvtss_si32;