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HaskellNN 0.1.1 → 0.1.2

raw patch · 4 files changed

+733/−4 lines, 4 files

Files

HaskellNN.cabal view
@@ -1,5 +1,5 @@ Name:         HaskellNN-Version:      0.1.1+Version:      0.1.2 License:      GPL License-file: LICENSE Author:       Kiet Lam@@ -51,11 +51,15 @@     ghc-prof-options: -prof -auto-all-  Include-Dirs:     cbits++   C-sources:        src/AI/Training/Internal/lbfgs_aux.c,                     cbits/lbfgs.c-                    cbits/lbfgs.h-  Includes:         lbfgs.h++  Include-dirs:     cbits+  Includes:         lbfgs.h, arithmetic_ansi.h, arithmetic_sse_double.h, arithmetic_sse_float.h+  Install-includes: lbfgs.h, arithmetic_ansi.h, arithmetic_sse_double.h, arithmetic_sse_float.h+   source-repository head
+ cbits/arithmetic_ansi.h view
@@ -0,0 +1,133 @@+/*+ *      ANSI C implementation of vector operations.+ *+ * Copyright (c) 2007-2010 Naoaki Okazaki+ * All rights reserved.+ *+ * Permission is hereby granted, free of charge, to any person obtaining a copy+ * of this software and associated documentation files (the "Software"), to deal+ * in the Software without restriction, including without limitation the rights+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell+ * copies of the Software, and to permit persons to whom the Software is+ * furnished to do so, subject to the following conditions:+ *+ * The above copyright notice and this permission notice shall be included in+ * all copies or substantial portions of the Software.+ *+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN+ * THE SOFTWARE.+ */++/* $Id$ */++#include <stdlib.h>+#include <memory.h>++#if     LBFGS_FLOAT == 32 && LBFGS_IEEE_FLOAT+#define fsigndiff(x, y) (((*(uint32_t*)(x)) ^ (*(uint32_t*)(y))) & 0x80000000U)+#else+#define fsigndiff(x, y) (*(x) * (*(y) / fabs(*(y))) < 0.)+#endif/*LBFGS_IEEE_FLOAT*/++inline static void* vecalloc(size_t size)+{+    void *memblock = malloc(size);+    if (memblock) {+        memset(memblock, 0, size);+    }+    return memblock;+}++inline static void vecfree(void *memblock)+{+    free(memblock);+}++inline static void vecset(lbfgsfloatval_t *x, const lbfgsfloatval_t c, const int n)+{+    int i;+    +    for (i = 0;i < n;++i) {+        x[i] = c;+    }+}++inline static void veccpy(lbfgsfloatval_t *y, const lbfgsfloatval_t *x, const int n)+{+    int i;++    for (i = 0;i < n;++i) {+        y[i] = x[i];+    }+}++inline static void vecncpy(lbfgsfloatval_t *y, const lbfgsfloatval_t *x, const int n)+{+    int i;++    for (i = 0;i < n;++i) {+        y[i] = -x[i];+    }+}++inline static void vecadd(lbfgsfloatval_t *y, const lbfgsfloatval_t *x, const lbfgsfloatval_t c, const int n)+{+    int i;++    for (i = 0;i < n;++i) {+        y[i] += c * x[i];+    }+}++inline static void vecdiff(lbfgsfloatval_t *z, const lbfgsfloatval_t *x, const lbfgsfloatval_t *y, const int n)+{+    int i;++    for (i = 0;i < n;++i) {+        z[i] = x[i] - y[i];+    }+}++inline static void vecscale(lbfgsfloatval_t *y, const lbfgsfloatval_t c, const int n)+{+    int i;++    for (i = 0;i < n;++i) {+        y[i] *= c;+    }+}++inline static void vecmul(lbfgsfloatval_t *y, const lbfgsfloatval_t *x, const int n)+{+    int i;++    for (i = 0;i < n;++i) {+        y[i] *= x[i];+    }+}++inline static void vecdot(lbfgsfloatval_t* s, const lbfgsfloatval_t *x, const lbfgsfloatval_t *y, const int n)+{+    int i;+    *s = 0.;+    for (i = 0;i < n;++i) {+        *s += x[i] * y[i];+    }+}++inline static void vec2norm(lbfgsfloatval_t* s, const lbfgsfloatval_t *x, const int n)+{+    vecdot(s, x, x, n);+    *s = (lbfgsfloatval_t)sqrt(*s);+}++inline static void vec2norminv(lbfgsfloatval_t* s, const lbfgsfloatval_t *x, const int n)+{+    vec2norm(s, x, n);+    *s = (lbfgsfloatval_t)(1.0 / *s);+}
+ cbits/arithmetic_sse_double.h view
@@ -0,0 +1,294 @@+/*+ *      SSE2 implementation of vector oprations (64bit double).+ *+ * Copyright (c) 2007-2010 Naoaki Okazaki+ * All rights reserved.+ *+ * Permission is hereby granted, free of charge, to any person obtaining a copy+ * of this software and associated documentation files (the "Software"), to deal+ * in the Software without restriction, including without limitation the rights+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell+ * copies of the Software, and to permit persons to whom the Software is+ * furnished to do so, subject to the following conditions:+ *+ * The above copyright notice and this permission notice shall be included in+ * all copies or substantial portions of the Software.+ *+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN+ * THE SOFTWARE.+ */++/* $Id$ */++#include <stdlib.h>+#ifndef __APPLE__+#include <malloc.h>+#endif+#include <memory.h>++#if     1400 <= _MSC_VER+#include <intrin.h>+#endif/*1400 <= _MSC_VER*/++#if     HAVE_EMMINTRIN_H+#include <emmintrin.h>+#endif/*HAVE_EMMINTRIN_H*/++inline static void* vecalloc(size_t size)+{+#if     defined(_MSC_VER)+    void *memblock = _aligned_malloc(size, 16);+#elif   defined(__APPLE__)  /* OS X always aligns on 16-byte boundaries */+    void *memblock = malloc(size);+#else+    void *memblock = NULL, *p = NULL;+    if (posix_memalign(&p, 16, size) == 0) {+        memblock = p;+    }+#endif+    if (memblock != NULL) {+        memset(memblock, 0, size);+    }+    return memblock;+}++inline static void vecfree(void *memblock)+{+#ifdef	_MSC_VER+    _aligned_free(memblock);+#else+    free(memblock);+#endif+}++#define fsigndiff(x, y) \+    ((_mm_movemask_pd(_mm_set_pd(*(x), *(y))) + 1) & 0x002)++#define vecset(x, c, n) \+{ \+    int i; \+    __m128d XMM0 = _mm_set1_pd(c); \+    for (i = 0;i < (n);i += 8) { \+        _mm_store_pd((x)+i  , XMM0); \+        _mm_store_pd((x)+i+2, XMM0); \+        _mm_store_pd((x)+i+4, XMM0); \+        _mm_store_pd((x)+i+6, XMM0); \+    } \+}++#define veccpy(y, x, n) \+{ \+    int i; \+    for (i = 0;i < (n);i += 8) { \+        __m128d XMM0 = _mm_load_pd((x)+i  ); \+        __m128d XMM1 = _mm_load_pd((x)+i+2); \+        __m128d XMM2 = _mm_load_pd((x)+i+4); \+        __m128d XMM3 = _mm_load_pd((x)+i+6); \+        _mm_store_pd((y)+i  , XMM0); \+        _mm_store_pd((y)+i+2, XMM1); \+        _mm_store_pd((y)+i+4, XMM2); \+        _mm_store_pd((y)+i+6, XMM3); \+    } \+}++#define vecncpy(y, x, n) \+{ \+    int i; \+    for (i = 0;i < (n);i += 8) { \+        __m128d XMM0 = _mm_setzero_pd(); \+        __m128d XMM1 = _mm_setzero_pd(); \+        __m128d XMM2 = _mm_setzero_pd(); \+        __m128d XMM3 = _mm_setzero_pd(); \+        __m128d XMM4 = _mm_load_pd((x)+i  ); \+        __m128d XMM5 = _mm_load_pd((x)+i+2); \+        __m128d XMM6 = _mm_load_pd((x)+i+4); \+        __m128d XMM7 = _mm_load_pd((x)+i+6); \+        XMM0 = _mm_sub_pd(XMM0, XMM4); \+        XMM1 = _mm_sub_pd(XMM1, XMM5); \+        XMM2 = _mm_sub_pd(XMM2, XMM6); \+        XMM3 = _mm_sub_pd(XMM3, XMM7); \+        _mm_store_pd((y)+i  , XMM0); \+        _mm_store_pd((y)+i+2, XMM1); \+        _mm_store_pd((y)+i+4, XMM2); \+        _mm_store_pd((y)+i+6, XMM3); \+    } \+}++#define vecadd(y, x, c, n) \+{ \+    int i; \+    __m128d XMM7 = _mm_set1_pd(c); \+    for (i = 0;i < (n);i += 4) { \+        __m128d XMM0 = _mm_load_pd((x)+i  ); \+        __m128d XMM1 = _mm_load_pd((x)+i+2); \+        __m128d XMM2 = _mm_load_pd((y)+i  ); \+        __m128d XMM3 = _mm_load_pd((y)+i+2); \+        XMM0 = _mm_mul_pd(XMM0, XMM7); \+        XMM1 = _mm_mul_pd(XMM1, XMM7); \+        XMM2 = _mm_add_pd(XMM2, XMM0); \+        XMM3 = _mm_add_pd(XMM3, XMM1); \+        _mm_store_pd((y)+i  , XMM2); \+        _mm_store_pd((y)+i+2, XMM3); \+    } \+}++#define vecdiff(z, x, y, n) \+{ \+    int i; \+    for (i = 0;i < (n);i += 8) { \+        __m128d XMM0 = _mm_load_pd((x)+i  ); \+        __m128d XMM1 = _mm_load_pd((x)+i+2); \+        __m128d XMM2 = _mm_load_pd((x)+i+4); \+        __m128d XMM3 = _mm_load_pd((x)+i+6); \+        __m128d XMM4 = _mm_load_pd((y)+i  ); \+        __m128d XMM5 = _mm_load_pd((y)+i+2); \+        __m128d XMM6 = _mm_load_pd((y)+i+4); \+        __m128d XMM7 = _mm_load_pd((y)+i+6); \+        XMM0 = _mm_sub_pd(XMM0, XMM4); \+        XMM1 = _mm_sub_pd(XMM1, XMM5); \+        XMM2 = _mm_sub_pd(XMM2, XMM6); \+        XMM3 = _mm_sub_pd(XMM3, XMM7); \+        _mm_store_pd((z)+i  , XMM0); \+        _mm_store_pd((z)+i+2, XMM1); \+        _mm_store_pd((z)+i+4, XMM2); \+        _mm_store_pd((z)+i+6, XMM3); \+    } \+}++#define vecscale(y, c, n) \+{ \+    int i; \+    __m128d XMM7 = _mm_set1_pd(c); \+    for (i = 0;i < (n);i += 4) { \+        __m128d XMM0 = _mm_load_pd((y)+i  ); \+        __m128d XMM1 = _mm_load_pd((y)+i+2); \+        XMM0 = _mm_mul_pd(XMM0, XMM7); \+        XMM1 = _mm_mul_pd(XMM1, XMM7); \+        _mm_store_pd((y)+i  , XMM0); \+        _mm_store_pd((y)+i+2, XMM1); \+    } \+}++#define vecmul(y, x, n) \+{ \+    int i; \+    for (i = 0;i < (n);i += 8) { \+        __m128d XMM0 = _mm_load_pd((x)+i  ); \+        __m128d XMM1 = _mm_load_pd((x)+i+2); \+        __m128d XMM2 = _mm_load_pd((x)+i+4); \+        __m128d XMM3 = _mm_load_pd((x)+i+6); \+        __m128d XMM4 = _mm_load_pd((y)+i  ); \+        __m128d XMM5 = _mm_load_pd((y)+i+2); \+        __m128d XMM6 = _mm_load_pd((y)+i+4); \+        __m128d XMM7 = _mm_load_pd((y)+i+6); \+        XMM4 = _mm_mul_pd(XMM4, XMM0); \+        XMM5 = _mm_mul_pd(XMM5, XMM1); \+        XMM6 = _mm_mul_pd(XMM6, XMM2); \+        XMM7 = _mm_mul_pd(XMM7, XMM3); \+        _mm_store_pd((y)+i  , XMM4); \+        _mm_store_pd((y)+i+2, XMM5); \+        _mm_store_pd((y)+i+4, XMM6); \+        _mm_store_pd((y)+i+6, XMM7); \+    } \+}++++#if     3 <= __SSE__ || defined(__SSE3__)+/*+    Horizontal add with haddps SSE3 instruction. The work register (rw)+    is unused.+ */+#define __horizontal_sum(r, rw) \+    r = _mm_hadd_ps(r, r); \+    r = _mm_hadd_ps(r, r);++#else+/*+    Horizontal add with SSE instruction. The work register (rw) is used.+ */+#define __horizontal_sum(r, rw) \+    rw = r; \+    r = _mm_shuffle_ps(r, rw, _MM_SHUFFLE(1, 0, 3, 2)); \+    r = _mm_add_ps(r, rw); \+    rw = r; \+    r = _mm_shuffle_ps(r, rw, _MM_SHUFFLE(2, 3, 0, 1)); \+    r = _mm_add_ps(r, rw);++#endif++#define vecdot(s, x, y, n) \+{ \+    int i; \+    __m128d XMM0 = _mm_setzero_pd(); \+    __m128d XMM1 = _mm_setzero_pd(); \+    __m128d XMM2, XMM3, XMM4, XMM5; \+    for (i = 0;i < (n);i += 4) { \+        XMM2 = _mm_load_pd((x)+i  ); \+        XMM3 = _mm_load_pd((x)+i+2); \+        XMM4 = _mm_load_pd((y)+i  ); \+        XMM5 = _mm_load_pd((y)+i+2); \+        XMM2 = _mm_mul_pd(XMM2, XMM4); \+        XMM3 = _mm_mul_pd(XMM3, XMM5); \+        XMM0 = _mm_add_pd(XMM0, XMM2); \+        XMM1 = _mm_add_pd(XMM1, XMM3); \+    } \+    XMM0 = _mm_add_pd(XMM0, XMM1); \+    XMM1 = _mm_shuffle_pd(XMM0, XMM0, _MM_SHUFFLE2(1, 1)); \+    XMM0 = _mm_add_pd(XMM0, XMM1); \+    _mm_store_sd((s), XMM0); \+}++#define vec2norm(s, x, n) \+{ \+    int i; \+    __m128d XMM0 = _mm_setzero_pd(); \+    __m128d XMM1 = _mm_setzero_pd(); \+    __m128d XMM2, XMM3, XMM4, XMM5; \+    for (i = 0;i < (n);i += 4) { \+        XMM2 = _mm_load_pd((x)+i  ); \+        XMM3 = _mm_load_pd((x)+i+2); \+        XMM4 = XMM2; \+        XMM5 = XMM3; \+        XMM2 = _mm_mul_pd(XMM2, XMM4); \+        XMM3 = _mm_mul_pd(XMM3, XMM5); \+        XMM0 = _mm_add_pd(XMM0, XMM2); \+        XMM1 = _mm_add_pd(XMM1, XMM3); \+    } \+    XMM0 = _mm_add_pd(XMM0, XMM1); \+    XMM1 = _mm_shuffle_pd(XMM0, XMM0, _MM_SHUFFLE2(1, 1)); \+    XMM0 = _mm_add_pd(XMM0, XMM1); \+    XMM0 = _mm_sqrt_pd(XMM0); \+    _mm_store_sd((s), XMM0); \+}+++#define vec2norminv(s, x, n) \+{ \+    int i; \+    __m128d XMM0 = _mm_setzero_pd(); \+    __m128d XMM1 = _mm_setzero_pd(); \+    __m128d XMM2, XMM3, XMM4, XMM5; \+    for (i = 0;i < (n);i += 4) { \+        XMM2 = _mm_load_pd((x)+i  ); \+        XMM3 = _mm_load_pd((x)+i+2); \+        XMM4 = XMM2; \+        XMM5 = XMM3; \+        XMM2 = _mm_mul_pd(XMM2, XMM4); \+        XMM3 = _mm_mul_pd(XMM3, XMM5); \+        XMM0 = _mm_add_pd(XMM0, XMM2); \+        XMM1 = _mm_add_pd(XMM1, XMM3); \+    } \+    XMM2 = _mm_set1_pd(1.0); \+    XMM0 = _mm_add_pd(XMM0, XMM1); \+    XMM1 = _mm_shuffle_pd(XMM0, XMM0, _MM_SHUFFLE2(1, 1)); \+    XMM0 = _mm_add_pd(XMM0, XMM1); \+    XMM0 = _mm_sqrt_pd(XMM0); \+    XMM2 = _mm_div_pd(XMM2, XMM0); \+    _mm_store_sd((s), XMM2); \+}
+ cbits/arithmetic_sse_float.h view
@@ -0,0 +1,298 @@+/*+ *      SSE/SSE3 implementation of vector oprations (32bit float).+ *+ * Copyright (c) 2007-2010 Naoaki Okazaki+ * All rights reserved.+ *+ * Permission is hereby granted, free of charge, to any person obtaining a copy+ * of this software and associated documentation files (the "Software"), to deal+ * in the Software without restriction, including without limitation the rights+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell+ * copies of the Software, and to permit persons to whom the Software is+ * furnished to do so, subject to the following conditions:+ *+ * The above copyright notice and this permission notice shall be included in+ * all copies or substantial portions of the Software.+ *+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN+ * THE SOFTWARE.+ */++/* $Id$ */++#include <stdlib.h>+#ifndef __APPLE__+#include <malloc.h>+#endif+#include <memory.h>++#if     1400 <= _MSC_VER+#include <intrin.h>+#endif/*_MSC_VER*/++#if     HAVE_XMMINTRIN_H+#include <xmmintrin.h>+#endif/*HAVE_XMMINTRIN_H*/++#if     LBFGS_FLOAT == 32 && LBFGS_IEEE_FLOAT+#define fsigndiff(x, y) (((*(uint32_t*)(x)) ^ (*(uint32_t*)(y))) & 0x80000000U)+#else+#define fsigndiff(x, y) (*(x) * (*(y) / fabs(*(y))) < 0.)+#endif/*LBFGS_IEEE_FLOAT*/++inline static void* vecalloc(size_t size)+{+#if     defined(_MSC_VER)+    void *memblock = _aligned_malloc(size, 16);+#elif   defined(__APPLE__)  /* OS X always aligns on 16-byte boundaries */+    void *memblock = malloc(size);+#else+    void *memblock = NULL, *p = NULL;+    if (posix_memalign(&p, 16, size) == 0) {+        memblock = p;+    }+#endif+    if (memblock != NULL) {+        memset(memblock, 0, size);+    }+    return memblock;+}++inline static void vecfree(void *memblock)+{+    _aligned_free(memblock);+}++#define vecset(x, c, n) \+{ \+    int i; \+    __m128 XMM0 = _mm_set_ps1(c); \+    for (i = 0;i < (n);i += 16) { \+        _mm_store_ps((x)+i   , XMM0); \+        _mm_store_ps((x)+i+ 4, XMM0); \+        _mm_store_ps((x)+i+ 8, XMM0); \+        _mm_store_ps((x)+i+12, XMM0); \+    } \+}++#define veccpy(y, x, n) \+{ \+    int i; \+    for (i = 0;i < (n);i += 16) { \+        __m128 XMM0 = _mm_load_ps((x)+i   ); \+        __m128 XMM1 = _mm_load_ps((x)+i+ 4); \+        __m128 XMM2 = _mm_load_ps((x)+i+ 8); \+        __m128 XMM3 = _mm_load_ps((x)+i+12); \+        _mm_store_ps((y)+i   , XMM0); \+        _mm_store_ps((y)+i+ 4, XMM1); \+        _mm_store_ps((y)+i+ 8, XMM2); \+        _mm_store_ps((y)+i+12, XMM3); \+    } \+}++#define vecncpy(y, x, n) \+{ \+    int i; \+    const uint32_t mask = 0x80000000; \+    __m128 XMM4 = _mm_load_ps1((float*)&mask); \+    for (i = 0;i < (n);i += 16) { \+        __m128 XMM0 = _mm_load_ps((x)+i   ); \+        __m128 XMM1 = _mm_load_ps((x)+i+ 4); \+        __m128 XMM2 = _mm_load_ps((x)+i+ 8); \+        __m128 XMM3 = _mm_load_ps((x)+i+12); \+        XMM0 = _mm_xor_ps(XMM0, XMM4); \+        XMM1 = _mm_xor_ps(XMM1, XMM4); \+        XMM2 = _mm_xor_ps(XMM2, XMM4); \+        XMM3 = _mm_xor_ps(XMM3, XMM4); \+        _mm_store_ps((y)+i   , XMM0); \+        _mm_store_ps((y)+i+ 4, XMM1); \+        _mm_store_ps((y)+i+ 8, XMM2); \+        _mm_store_ps((y)+i+12, XMM3); \+    } \+}++#define vecadd(y, x, c, n) \+{ \+    int i; \+    __m128 XMM7 = _mm_set_ps1(c); \+    for (i = 0;i < (n);i += 8) { \+        __m128 XMM0 = _mm_load_ps((x)+i  ); \+        __m128 XMM1 = _mm_load_ps((x)+i+4); \+        __m128 XMM2 = _mm_load_ps((y)+i  ); \+        __m128 XMM3 = _mm_load_ps((y)+i+4); \+        XMM0 = _mm_mul_ps(XMM0, XMM7); \+        XMM1 = _mm_mul_ps(XMM1, XMM7); \+        XMM2 = _mm_add_ps(XMM2, XMM0); \+        XMM3 = _mm_add_ps(XMM3, XMM1); \+        _mm_store_ps((y)+i  , XMM2); \+        _mm_store_ps((y)+i+4, XMM3); \+    } \+}++#define vecdiff(z, x, y, n) \+{ \+    int i; \+    for (i = 0;i < (n);i += 16) { \+        __m128 XMM0 = _mm_load_ps((x)+i   ); \+        __m128 XMM1 = _mm_load_ps((x)+i+ 4); \+        __m128 XMM2 = _mm_load_ps((x)+i+ 8); \+        __m128 XMM3 = _mm_load_ps((x)+i+12); \+        __m128 XMM4 = _mm_load_ps((y)+i   ); \+        __m128 XMM5 = _mm_load_ps((y)+i+ 4); \+        __m128 XMM6 = _mm_load_ps((y)+i+ 8); \+        __m128 XMM7 = _mm_load_ps((y)+i+12); \+        XMM0 = _mm_sub_ps(XMM0, XMM4); \+        XMM1 = _mm_sub_ps(XMM1, XMM5); \+        XMM2 = _mm_sub_ps(XMM2, XMM6); \+        XMM3 = _mm_sub_ps(XMM3, XMM7); \+        _mm_store_ps((z)+i   , XMM0); \+        _mm_store_ps((z)+i+ 4, XMM1); \+        _mm_store_ps((z)+i+ 8, XMM2); \+        _mm_store_ps((z)+i+12, XMM3); \+    } \+}++#define vecscale(y, c, n) \+{ \+    int i; \+    __m128 XMM7 = _mm_set_ps1(c); \+    for (i = 0;i < (n);i += 8) { \+        __m128 XMM0 = _mm_load_ps((y)+i  ); \+        __m128 XMM1 = _mm_load_ps((y)+i+4); \+        XMM0 = _mm_mul_ps(XMM0, XMM7); \+        XMM1 = _mm_mul_ps(XMM1, XMM7); \+        _mm_store_ps((y)+i  , XMM0); \+        _mm_store_ps((y)+i+4, XMM1); \+    } \+}++#define vecmul(y, x, n) \+{ \+    int i; \+    for (i = 0;i < (n);i += 16) { \+        __m128 XMM0 = _mm_load_ps((x)+i   ); \+        __m128 XMM1 = _mm_load_ps((x)+i+ 4); \+        __m128 XMM2 = _mm_load_ps((x)+i+ 8); \+        __m128 XMM3 = _mm_load_ps((x)+i+12); \+        __m128 XMM4 = _mm_load_ps((y)+i   ); \+        __m128 XMM5 = _mm_load_ps((y)+i+ 4); \+        __m128 XMM6 = _mm_load_ps((y)+i+ 8); \+        __m128 XMM7 = _mm_load_ps((y)+i+12); \+        XMM4 = _mm_mul_ps(XMM4, XMM0); \+        XMM5 = _mm_mul_ps(XMM5, XMM1); \+        XMM6 = _mm_mul_ps(XMM6, XMM2); \+        XMM7 = _mm_mul_ps(XMM7, XMM3); \+        _mm_store_ps((y)+i   , XMM4); \+        _mm_store_ps((y)+i+ 4, XMM5); \+        _mm_store_ps((y)+i+ 8, XMM6); \+        _mm_store_ps((y)+i+12, XMM7); \+    } \+}++++#if     3 <= __SSE__ || defined(__SSE3__)+/*+    Horizontal add with haddps SSE3 instruction. The work register (rw)+    is unused.+ */+#define __horizontal_sum(r, rw) \+    r = _mm_hadd_ps(r, r); \+    r = _mm_hadd_ps(r, r);++#else+/*+    Horizontal add with SSE instruction. The work register (rw) is used.+ */+#define __horizontal_sum(r, rw) \+    rw = r; \+    r = _mm_shuffle_ps(r, rw, _MM_SHUFFLE(1, 0, 3, 2)); \+    r = _mm_add_ps(r, rw); \+    rw = r; \+    r = _mm_shuffle_ps(r, rw, _MM_SHUFFLE(2, 3, 0, 1)); \+    r = _mm_add_ps(r, rw);++#endif++#define vecdot(s, x, y, n) \+{ \+    int i; \+    __m128 XMM0 = _mm_setzero_ps(); \+    __m128 XMM1 = _mm_setzero_ps(); \+    __m128 XMM2, XMM3, XMM4, XMM5; \+    for (i = 0;i < (n);i += 8) { \+        XMM2 = _mm_load_ps((x)+i  ); \+        XMM3 = _mm_load_ps((x)+i+4); \+        XMM4 = _mm_load_ps((y)+i  ); \+        XMM5 = _mm_load_ps((y)+i+4); \+        XMM2 = _mm_mul_ps(XMM2, XMM4); \+        XMM3 = _mm_mul_ps(XMM3, XMM5); \+        XMM0 = _mm_add_ps(XMM0, XMM2); \+        XMM1 = _mm_add_ps(XMM1, XMM3); \+    } \+    XMM0 = _mm_add_ps(XMM0, XMM1); \+    __horizontal_sum(XMM0, XMM1); \+    _mm_store_ss((s), XMM0); \+}++#define vec2norm(s, x, n) \+{ \+    int i; \+    __m128 XMM0 = _mm_setzero_ps(); \+    __m128 XMM1 = _mm_setzero_ps(); \+    __m128 XMM2, XMM3; \+    for (i = 0;i < (n);i += 8) { \+        XMM2 = _mm_load_ps((x)+i  ); \+        XMM3 = _mm_load_ps((x)+i+4); \+        XMM2 = _mm_mul_ps(XMM2, XMM2); \+        XMM3 = _mm_mul_ps(XMM3, XMM3); \+        XMM0 = _mm_add_ps(XMM0, XMM2); \+        XMM1 = _mm_add_ps(XMM1, XMM3); \+    } \+    XMM0 = _mm_add_ps(XMM0, XMM1); \+    __horizontal_sum(XMM0, XMM1); \+    XMM2 = XMM0; \+    XMM1 = _mm_rsqrt_ss(XMM0); \+    XMM3 = XMM1; \+    XMM1 = _mm_mul_ss(XMM1, XMM1); \+    XMM1 = _mm_mul_ss(XMM1, XMM3); \+    XMM1 = _mm_mul_ss(XMM1, XMM0); \+    XMM1 = _mm_mul_ss(XMM1, _mm_set_ss(-0.5f)); \+    XMM3 = _mm_mul_ss(XMM3, _mm_set_ss(1.5f)); \+    XMM3 = _mm_add_ss(XMM3, XMM1); \+    XMM3 = _mm_mul_ss(XMM3, XMM2); \+    _mm_store_ss((s), XMM3); \+}++#define vec2norminv(s, x, n) \+{ \+    int i; \+    __m128 XMM0 = _mm_setzero_ps(); \+    __m128 XMM1 = _mm_setzero_ps(); \+    __m128 XMM2, XMM3; \+    for (i = 0;i < (n);i += 16) { \+        XMM2 = _mm_load_ps((x)+i  ); \+        XMM3 = _mm_load_ps((x)+i+4); \+        XMM2 = _mm_mul_ps(XMM2, XMM2); \+        XMM3 = _mm_mul_ps(XMM3, XMM3); \+        XMM0 = _mm_add_ps(XMM0, XMM2); \+        XMM1 = _mm_add_ps(XMM1, XMM3); \+    } \+    XMM0 = _mm_add_ps(XMM0, XMM1); \+    __horizontal_sum(XMM0, XMM1); \+    XMM2 = XMM0; \+    XMM1 = _mm_rsqrt_ss(XMM0); \+    XMM3 = XMM1; \+    XMM1 = _mm_mul_ss(XMM1, XMM1); \+    XMM1 = _mm_mul_ss(XMM1, XMM3); \+    XMM1 = _mm_mul_ss(XMM1, XMM0); \+    XMM1 = _mm_mul_ss(XMM1, _mm_set_ss(-0.5f)); \+    XMM3 = _mm_mul_ss(XMM3, _mm_set_ss(1.5f)); \+    XMM3 = _mm_add_ss(XMM3, XMM1); \+    _mm_store_ss((s), XMM3); \+}