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173
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1 /*===---- __clang_cuda_math.h - Device-side CUDA math support --------------===
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2 *
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3 * Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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4 * See https://llvm.org/LICENSE.txt for license information.
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5 * SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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6 *
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7 *===-----------------------------------------------------------------------===
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8 */
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9 #ifndef __CLANG_CUDA_MATH_H__
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10 #define __CLANG_CUDA_MATH_H__
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11 #ifndef __CUDA__
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12 #error "This file is for CUDA compilation only."
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13 #endif
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14
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15 #ifndef _OPENMP
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16 #if CUDA_VERSION < 9000
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17 #error This file is intended to be used with CUDA-9+ only.
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18 #endif
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19 #endif
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20
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21 // __DEVICE__ is a helper macro with common set of attributes for the wrappers
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22 // we implement in this file. We need static in order to avoid emitting unused
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23 // functions and __forceinline__ helps inlining these wrappers at -O1.
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24 #pragma push_macro("__DEVICE__")
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25 #ifdef _OPENMP
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26 #if defined(__cplusplus)
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27 #define __DEVICE__ static constexpr __attribute__((always_inline, nothrow))
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28 #else
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29 #define __DEVICE__ static __attribute__((always_inline, nothrow))
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30 #endif
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31 #else
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32 #define __DEVICE__ static __device__ __forceinline__
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33 #endif
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34
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35 // Specialized version of __DEVICE__ for functions with void return type. Needed
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36 // because the OpenMP overlay requires constexpr functions here but prior to
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37 // c++14 void return functions could not be constexpr.
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38 #pragma push_macro("__DEVICE_VOID__")
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39 #ifdef _OPENMP && defined(__cplusplus) && __cplusplus < 201402L
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40 #define __DEVICE_VOID__ static __attribute__((always_inline, nothrow))
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41 #else
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42 #define __DEVICE_VOID__ __DEVICE__
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43 #endif
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44
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45 // libdevice provides fast low precision and slow full-recision implementations
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46 // for some functions. Which one gets selected depends on
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47 // __CLANG_CUDA_APPROX_TRANSCENDENTALS__ which gets defined by clang if
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48 // -ffast-math or -fcuda-approx-transcendentals are in effect.
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49 #pragma push_macro("__FAST_OR_SLOW")
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50 #if defined(__CLANG_CUDA_APPROX_TRANSCENDENTALS__)
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51 #define __FAST_OR_SLOW(fast, slow) fast
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52 #else
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53 #define __FAST_OR_SLOW(fast, slow) slow
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54 #endif
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55
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56 __DEVICE__ int abs(int __a) { return __nv_abs(__a); }
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57 __DEVICE__ double fabs(double __a) { return __nv_fabs(__a); }
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58 __DEVICE__ double acos(double __a) { return __nv_acos(__a); }
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59 __DEVICE__ float acosf(float __a) { return __nv_acosf(__a); }
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60 __DEVICE__ double acosh(double __a) { return __nv_acosh(__a); }
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61 __DEVICE__ float acoshf(float __a) { return __nv_acoshf(__a); }
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62 __DEVICE__ double asin(double __a) { return __nv_asin(__a); }
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63 __DEVICE__ float asinf(float __a) { return __nv_asinf(__a); }
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64 __DEVICE__ double asinh(double __a) { return __nv_asinh(__a); }
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65 __DEVICE__ float asinhf(float __a) { return __nv_asinhf(__a); }
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66 __DEVICE__ double atan(double __a) { return __nv_atan(__a); }
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67 __DEVICE__ double atan2(double __a, double __b) { return __nv_atan2(__a, __b); }
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68 __DEVICE__ float atan2f(float __a, float __b) { return __nv_atan2f(__a, __b); }
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69 __DEVICE__ float atanf(float __a) { return __nv_atanf(__a); }
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70 __DEVICE__ double atanh(double __a) { return __nv_atanh(__a); }
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71 __DEVICE__ float atanhf(float __a) { return __nv_atanhf(__a); }
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72 __DEVICE__ double cbrt(double __a) { return __nv_cbrt(__a); }
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73 __DEVICE__ float cbrtf(float __a) { return __nv_cbrtf(__a); }
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74 __DEVICE__ double ceil(double __a) { return __nv_ceil(__a); }
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75 __DEVICE__ float ceilf(float __a) { return __nv_ceilf(__a); }
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76 __DEVICE__ double copysign(double __a, double __b) {
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77 return __nv_copysign(__a, __b);
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78 }
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79 __DEVICE__ float copysignf(float __a, float __b) {
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80 return __nv_copysignf(__a, __b);
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81 }
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82 __DEVICE__ double cos(double __a) { return __nv_cos(__a); }
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83 __DEVICE__ float cosf(float __a) {
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84 return __FAST_OR_SLOW(__nv_fast_cosf, __nv_cosf)(__a);
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85 }
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86 __DEVICE__ double cosh(double __a) { return __nv_cosh(__a); }
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87 __DEVICE__ float coshf(float __a) { return __nv_coshf(__a); }
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88 __DEVICE__ double cospi(double __a) { return __nv_cospi(__a); }
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89 __DEVICE__ float cospif(float __a) { return __nv_cospif(__a); }
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90 __DEVICE__ double cyl_bessel_i0(double __a) { return __nv_cyl_bessel_i0(__a); }
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91 __DEVICE__ float cyl_bessel_i0f(float __a) { return __nv_cyl_bessel_i0f(__a); }
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92 __DEVICE__ double cyl_bessel_i1(double __a) { return __nv_cyl_bessel_i1(__a); }
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93 __DEVICE__ float cyl_bessel_i1f(float __a) { return __nv_cyl_bessel_i1f(__a); }
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94 __DEVICE__ double erf(double __a) { return __nv_erf(__a); }
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95 __DEVICE__ double erfc(double __a) { return __nv_erfc(__a); }
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96 __DEVICE__ float erfcf(float __a) { return __nv_erfcf(__a); }
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97 __DEVICE__ double erfcinv(double __a) { return __nv_erfcinv(__a); }
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98 __DEVICE__ float erfcinvf(float __a) { return __nv_erfcinvf(__a); }
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99 __DEVICE__ double erfcx(double __a) { return __nv_erfcx(__a); }
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100 __DEVICE__ float erfcxf(float __a) { return __nv_erfcxf(__a); }
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101 __DEVICE__ float erff(float __a) { return __nv_erff(__a); }
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102 __DEVICE__ double erfinv(double __a) { return __nv_erfinv(__a); }
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103 __DEVICE__ float erfinvf(float __a) { return __nv_erfinvf(__a); }
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104 __DEVICE__ double exp(double __a) { return __nv_exp(__a); }
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105 __DEVICE__ double exp10(double __a) { return __nv_exp10(__a); }
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106 __DEVICE__ float exp10f(float __a) { return __nv_exp10f(__a); }
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107 __DEVICE__ double exp2(double __a) { return __nv_exp2(__a); }
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108 __DEVICE__ float exp2f(float __a) { return __nv_exp2f(__a); }
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109 __DEVICE__ float expf(float __a) { return __nv_expf(__a); }
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110 __DEVICE__ double expm1(double __a) { return __nv_expm1(__a); }
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111 __DEVICE__ float expm1f(float __a) { return __nv_expm1f(__a); }
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112 __DEVICE__ float fabsf(float __a) { return __nv_fabsf(__a); }
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113 __DEVICE__ double fdim(double __a, double __b) { return __nv_fdim(__a, __b); }
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114 __DEVICE__ float fdimf(float __a, float __b) { return __nv_fdimf(__a, __b); }
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115 __DEVICE__ double fdivide(double __a, double __b) { return __a / __b; }
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116 __DEVICE__ float fdividef(float __a, float __b) {
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117 #if __FAST_MATH__ && !__CUDA_PREC_DIV
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118 return __nv_fast_fdividef(__a, __b);
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119 #else
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120 return __a / __b;
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121 #endif
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122 }
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123 __DEVICE__ double floor(double __f) { return __nv_floor(__f); }
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124 __DEVICE__ float floorf(float __f) { return __nv_floorf(__f); }
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125 __DEVICE__ double fma(double __a, double __b, double __c) {
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126 return __nv_fma(__a, __b, __c);
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127 }
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128 __DEVICE__ float fmaf(float __a, float __b, float __c) {
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129 return __nv_fmaf(__a, __b, __c);
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130 }
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131 __DEVICE__ double fmax(double __a, double __b) { return __nv_fmax(__a, __b); }
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132 __DEVICE__ float fmaxf(float __a, float __b) { return __nv_fmaxf(__a, __b); }
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133 __DEVICE__ double fmin(double __a, double __b) { return __nv_fmin(__a, __b); }
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134 __DEVICE__ float fminf(float __a, float __b) { return __nv_fminf(__a, __b); }
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135 __DEVICE__ double fmod(double __a, double __b) { return __nv_fmod(__a, __b); }
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136 __DEVICE__ float fmodf(float __a, float __b) { return __nv_fmodf(__a, __b); }
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137 __DEVICE__ double frexp(double __a, int *__b) { return __nv_frexp(__a, __b); }
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138 __DEVICE__ float frexpf(float __a, int *__b) { return __nv_frexpf(__a, __b); }
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139 __DEVICE__ double hypot(double __a, double __b) { return __nv_hypot(__a, __b); }
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140 __DEVICE__ float hypotf(float __a, float __b) { return __nv_hypotf(__a, __b); }
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141 __DEVICE__ int ilogb(double __a) { return __nv_ilogb(__a); }
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142 __DEVICE__ int ilogbf(float __a) { return __nv_ilogbf(__a); }
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143 __DEVICE__ double j0(double __a) { return __nv_j0(__a); }
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144 __DEVICE__ float j0f(float __a) { return __nv_j0f(__a); }
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145 __DEVICE__ double j1(double __a) { return __nv_j1(__a); }
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146 __DEVICE__ float j1f(float __a) { return __nv_j1f(__a); }
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147 __DEVICE__ double jn(int __n, double __a) { return __nv_jn(__n, __a); }
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148 __DEVICE__ float jnf(int __n, float __a) { return __nv_jnf(__n, __a); }
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149 #if defined(__LP64__) || defined(_WIN64)
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150 __DEVICE__ long labs(long __a) { return __nv_llabs(__a); };
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151 #else
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152 __DEVICE__ long labs(long __a) { return __nv_abs(__a); };
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153 #endif
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154 __DEVICE__ double ldexp(double __a, int __b) { return __nv_ldexp(__a, __b); }
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155 __DEVICE__ float ldexpf(float __a, int __b) { return __nv_ldexpf(__a, __b); }
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156 __DEVICE__ double lgamma(double __a) { return __nv_lgamma(__a); }
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157 __DEVICE__ float lgammaf(float __a) { return __nv_lgammaf(__a); }
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158 __DEVICE__ long long llabs(long long __a) { return __nv_llabs(__a); }
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159 __DEVICE__ long long llmax(long long __a, long long __b) {
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160 return __nv_llmax(__a, __b);
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161 }
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162 __DEVICE__ long long llmin(long long __a, long long __b) {
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163 return __nv_llmin(__a, __b);
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164 }
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165 __DEVICE__ long long llrint(double __a) { return __nv_llrint(__a); }
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166 __DEVICE__ long long llrintf(float __a) { return __nv_llrintf(__a); }
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167 __DEVICE__ long long llround(double __a) { return __nv_llround(__a); }
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168 __DEVICE__ long long llroundf(float __a) { return __nv_llroundf(__a); }
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169 __DEVICE__ double log(double __a) { return __nv_log(__a); }
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170 __DEVICE__ double log10(double __a) { return __nv_log10(__a); }
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171 __DEVICE__ float log10f(float __a) { return __nv_log10f(__a); }
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172 __DEVICE__ double log1p(double __a) { return __nv_log1p(__a); }
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173 __DEVICE__ float log1pf(float __a) { return __nv_log1pf(__a); }
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174 __DEVICE__ double log2(double __a) { return __nv_log2(__a); }
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175 __DEVICE__ float log2f(float __a) {
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176 return __FAST_OR_SLOW(__nv_fast_log2f, __nv_log2f)(__a);
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177 }
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178 __DEVICE__ double logb(double __a) { return __nv_logb(__a); }
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179 __DEVICE__ float logbf(float __a) { return __nv_logbf(__a); }
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180 __DEVICE__ float logf(float __a) {
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181 return __FAST_OR_SLOW(__nv_fast_logf, __nv_logf)(__a);
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182 }
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183 #if defined(__LP64__) || defined(_WIN64)
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184 __DEVICE__ long lrint(double __a) { return llrint(__a); }
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185 __DEVICE__ long lrintf(float __a) { return __float2ll_rn(__a); }
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186 __DEVICE__ long lround(double __a) { return llround(__a); }
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187 __DEVICE__ long lroundf(float __a) { return llroundf(__a); }
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188 #else
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189 __DEVICE__ long lrint(double __a) { return (long)rint(__a); }
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190 __DEVICE__ long lrintf(float __a) { return __float2int_rn(__a); }
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191 __DEVICE__ long lround(double __a) { return round(__a); }
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192 __DEVICE__ long lroundf(float __a) { return roundf(__a); }
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193 #endif
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194 __DEVICE__ int max(int __a, int __b) { return __nv_max(__a, __b); }
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195 __DEVICE__ int min(int __a, int __b) { return __nv_min(__a, __b); }
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196 __DEVICE__ double modf(double __a, double *__b) { return __nv_modf(__a, __b); }
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197 __DEVICE__ float modff(float __a, float *__b) { return __nv_modff(__a, __b); }
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198 __DEVICE__ double nearbyint(double __a) { return __nv_nearbyint(__a); }
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199 __DEVICE__ float nearbyintf(float __a) { return __nv_nearbyintf(__a); }
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200 __DEVICE__ double nextafter(double __a, double __b) {
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201 return __nv_nextafter(__a, __b);
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202 }
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203 __DEVICE__ float nextafterf(float __a, float __b) {
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204 return __nv_nextafterf(__a, __b);
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205 }
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206 __DEVICE__ double norm(int __dim, const double *__t) {
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207 return __nv_norm(__dim, __t);
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208 }
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209 __DEVICE__ double norm3d(double __a, double __b, double __c) {
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210 return __nv_norm3d(__a, __b, __c);
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211 }
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212 __DEVICE__ float norm3df(float __a, float __b, float __c) {
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213 return __nv_norm3df(__a, __b, __c);
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214 }
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215 __DEVICE__ double norm4d(double __a, double __b, double __c, double __d) {
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216 return __nv_norm4d(__a, __b, __c, __d);
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217 }
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218 __DEVICE__ float norm4df(float __a, float __b, float __c, float __d) {
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219 return __nv_norm4df(__a, __b, __c, __d);
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220 }
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221 __DEVICE__ double normcdf(double __a) { return __nv_normcdf(__a); }
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222 __DEVICE__ float normcdff(float __a) { return __nv_normcdff(__a); }
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223 __DEVICE__ double normcdfinv(double __a) { return __nv_normcdfinv(__a); }
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224 __DEVICE__ float normcdfinvf(float __a) { return __nv_normcdfinvf(__a); }
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225 __DEVICE__ float normf(int __dim, const float *__t) {
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226 return __nv_normf(__dim, __t);
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227 }
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228 __DEVICE__ double pow(double __a, double __b) { return __nv_pow(__a, __b); }
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229 __DEVICE__ float powf(float __a, float __b) { return __nv_powf(__a, __b); }
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230 __DEVICE__ double powi(double __a, int __b) { return __nv_powi(__a, __b); }
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231 __DEVICE__ float powif(float __a, int __b) { return __nv_powif(__a, __b); }
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232 __DEVICE__ double rcbrt(double __a) { return __nv_rcbrt(__a); }
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233 __DEVICE__ float rcbrtf(float __a) { return __nv_rcbrtf(__a); }
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234 __DEVICE__ double remainder(double __a, double __b) {
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235 return __nv_remainder(__a, __b);
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236 }
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237 __DEVICE__ float remainderf(float __a, float __b) {
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238 return __nv_remainderf(__a, __b);
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239 }
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240 __DEVICE__ double remquo(double __a, double __b, int *__c) {
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241 return __nv_remquo(__a, __b, __c);
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242 }
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243 __DEVICE__ float remquof(float __a, float __b, int *__c) {
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244 return __nv_remquof(__a, __b, __c);
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245 }
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246 __DEVICE__ double rhypot(double __a, double __b) {
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247 return __nv_rhypot(__a, __b);
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248 }
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249 __DEVICE__ float rhypotf(float __a, float __b) {
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250 return __nv_rhypotf(__a, __b);
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251 }
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252 __DEVICE__ double rint(double __a) { return __nv_rint(__a); }
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253 __DEVICE__ float rintf(float __a) { return __nv_rintf(__a); }
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254 __DEVICE__ double rnorm(int __a, const double *__b) {
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255 return __nv_rnorm(__a, __b);
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256 }
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257 __DEVICE__ double rnorm3d(double __a, double __b, double __c) {
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258 return __nv_rnorm3d(__a, __b, __c);
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259 }
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260 __DEVICE__ float rnorm3df(float __a, float __b, float __c) {
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261 return __nv_rnorm3df(__a, __b, __c);
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262 }
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263 __DEVICE__ double rnorm4d(double __a, double __b, double __c, double __d) {
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264 return __nv_rnorm4d(__a, __b, __c, __d);
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265 }
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266 __DEVICE__ float rnorm4df(float __a, float __b, float __c, float __d) {
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267 return __nv_rnorm4df(__a, __b, __c, __d);
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268 }
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269 __DEVICE__ float rnormf(int __dim, const float *__t) {
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270 return __nv_rnormf(__dim, __t);
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271 }
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272 __DEVICE__ double round(double __a) { return __nv_round(__a); }
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273 __DEVICE__ float roundf(float __a) { return __nv_roundf(__a); }
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274 __DEVICE__ double rsqrt(double __a) { return __nv_rsqrt(__a); }
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275 __DEVICE__ float rsqrtf(float __a) { return __nv_rsqrtf(__a); }
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276 __DEVICE__ double scalbn(double __a, int __b) { return __nv_scalbn(__a, __b); }
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277 __DEVICE__ float scalbnf(float __a, int __b) { return __nv_scalbnf(__a, __b); }
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278 __DEVICE__ double scalbln(double __a, long __b) {
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279 if (__b > INT_MAX)
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280 return __a > 0 ? HUGE_VAL : -HUGE_VAL;
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281 if (__b < INT_MIN)
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282 return __a > 0 ? 0.0 : -0.0;
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283 return scalbn(__a, (int)__b);
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284 }
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285 __DEVICE__ float scalblnf(float __a, long __b) {
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286 if (__b > INT_MAX)
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287 return __a > 0 ? HUGE_VALF : -HUGE_VALF;
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288 if (__b < INT_MIN)
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289 return __a > 0 ? 0.f : -0.f;
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290 return scalbnf(__a, (int)__b);
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291 }
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292 __DEVICE__ double sin(double __a) { return __nv_sin(__a); }
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293 __DEVICE_VOID__ void sincos(double __a, double *__s, double *__c) {
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294 return __nv_sincos(__a, __s, __c);
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295 }
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296 __DEVICE_VOID__ void sincosf(float __a, float *__s, float *__c) {
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297 return __FAST_OR_SLOW(__nv_fast_sincosf, __nv_sincosf)(__a, __s, __c);
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298 }
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299 __DEVICE_VOID__ void sincospi(double __a, double *__s, double *__c) {
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300 return __nv_sincospi(__a, __s, __c);
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301 }
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302 __DEVICE_VOID__ void sincospif(float __a, float *__s, float *__c) {
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303 return __nv_sincospif(__a, __s, __c);
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304 }
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305 __DEVICE__ float sinf(float __a) {
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306 return __FAST_OR_SLOW(__nv_fast_sinf, __nv_sinf)(__a);
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307 }
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308 __DEVICE__ double sinh(double __a) { return __nv_sinh(__a); }
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309 __DEVICE__ float sinhf(float __a) { return __nv_sinhf(__a); }
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310 __DEVICE__ double sinpi(double __a) { return __nv_sinpi(__a); }
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311 __DEVICE__ float sinpif(float __a) { return __nv_sinpif(__a); }
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312 __DEVICE__ double sqrt(double __a) { return __nv_sqrt(__a); }
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313 __DEVICE__ float sqrtf(float __a) { return __nv_sqrtf(__a); }
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314 __DEVICE__ double tan(double __a) { return __nv_tan(__a); }
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315 __DEVICE__ float tanf(float __a) { return __nv_tanf(__a); }
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316 __DEVICE__ double tanh(double __a) { return __nv_tanh(__a); }
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317 __DEVICE__ float tanhf(float __a) { return __nv_tanhf(__a); }
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318 __DEVICE__ double tgamma(double __a) { return __nv_tgamma(__a); }
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319 __DEVICE__ float tgammaf(float __a) { return __nv_tgammaf(__a); }
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320 __DEVICE__ double trunc(double __a) { return __nv_trunc(__a); }
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321 __DEVICE__ float truncf(float __a) { return __nv_truncf(__a); }
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322 __DEVICE__ unsigned long long ullmax(unsigned long long __a,
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323 unsigned long long __b) {
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324 return __nv_ullmax(__a, __b);
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325 }
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326 __DEVICE__ unsigned long long ullmin(unsigned long long __a,
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327 unsigned long long __b) {
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328 return __nv_ullmin(__a, __b);
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329 }
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330 __DEVICE__ unsigned int umax(unsigned int __a, unsigned int __b) {
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331 return __nv_umax(__a, __b);
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332 }
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333 __DEVICE__ unsigned int umin(unsigned int __a, unsigned int __b) {
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334 return __nv_umin(__a, __b);
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335 }
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336 __DEVICE__ double y0(double __a) { return __nv_y0(__a); }
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337 __DEVICE__ float y0f(float __a) { return __nv_y0f(__a); }
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338 __DEVICE__ double y1(double __a) { return __nv_y1(__a); }
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339 __DEVICE__ float y1f(float __a) { return __nv_y1f(__a); }
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340 __DEVICE__ double yn(int __a, double __b) { return __nv_yn(__a, __b); }
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341 __DEVICE__ float ynf(int __a, float __b) { return __nv_ynf(__a, __b); }
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342
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343 #pragma pop_macro("__DEVICE__")
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344 #pragma pop_macro("__DEVICE_VOID__")
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345 #pragma pop_macro("__FAST_OR_SLOW")
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346
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347 #endif // __CLANG_CUDA_DEVICE_FUNCTIONS_H__
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