vendor/llvm-project/llvmorg-11-init-20887-g2e10b7a39b9vendor/llvm-project/master

1 files changed, 1185 insertions, 0 deletions

diff --git a/clang/lib/Headers/__clang_hip_math.h b/clang/lib/Headers/__clang_hip_math.h
new file mode 100644
index 000000000000..cf7014b9aefe
--- /dev/null
+++ b/clang/lib/Headers/__clang_hip_math.h
@@ -0,0 +1,1185 @@
+/*===---- __clang_hip_math.h - HIP math decls -------------------------------===
+ *
+ * Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+ * See https://llvm.org/LICENSE.txt for license information.
+ * SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+ *
+ *===-----------------------------------------------------------------------===
+ */
+
+#ifndef __CLANG_HIP_MATH_H__
+#define __CLANG_HIP_MATH_H__
+
+#include <algorithm>
+#include <limits.h>
+#include <limits>
+#include <stdint.h>
+
+#pragma push_macro("__DEVICE__")
+#pragma push_macro("__RETURN_TYPE")
+
+// to be consistent with __clang_cuda_math_forward_declares
+#define __DEVICE__ static __device__
+#define __RETURN_TYPE bool
+
+__DEVICE__
+inline uint64_t __make_mantissa_base8(const char *__tagp) {
+  uint64_t __r = 0;
+  while (__tagp) {
+    char __tmp = *__tagp;
+
+    if (__tmp >= '0' && __tmp <= '7')
+      __r = (__r * 8u) + __tmp - '0';
+    else
+      return 0;
+
+    ++__tagp;
+  }
+
+  return __r;
+}
+
+__DEVICE__
+inline uint64_t __make_mantissa_base10(const char *__tagp) {
+  uint64_t __r = 0;
+  while (__tagp) {
+    char __tmp = *__tagp;
+
+    if (__tmp >= '0' && __tmp <= '9')
+      __r = (__r * 10u) + __tmp - '0';
+    else
+      return 0;
+
+    ++__tagp;
+  }
+
+  return __r;
+}
+
+__DEVICE__
+inline uint64_t __make_mantissa_base16(const char *__tagp) {
+  uint64_t __r = 0;
+  while (__tagp) {
+    char __tmp = *__tagp;
+
+    if (__tmp >= '0' && __tmp <= '9')
+      __r = (__r * 16u) + __tmp - '0';
+    else if (__tmp >= 'a' && __tmp <= 'f')
+      __r = (__r * 16u) + __tmp - 'a' + 10;
+    else if (__tmp >= 'A' && __tmp <= 'F')
+      __r = (__r * 16u) + __tmp - 'A' + 10;
+    else
+      return 0;
+
+    ++__tagp;
+  }
+
+  return __r;
+}
+
+__DEVICE__
+inline uint64_t __make_mantissa(const char *__tagp) {
+  if (!__tagp)
+    return 0u;
+
+  if (*__tagp == '0') {
+    ++__tagp;
+
+    if (*__tagp == 'x' || *__tagp == 'X')
+      return __make_mantissa_base16(__tagp);
+    else
+      return __make_mantissa_base8(__tagp);
+  }
+
+  return __make_mantissa_base10(__tagp);
+}
+
+// BEGIN FLOAT
+__DEVICE__
+inline float abs(float __x) { return __ocml_fabs_f32(__x); }
+__DEVICE__
+inline float acosf(float __x) { return __ocml_acos_f32(__x); }
+__DEVICE__
+inline float acoshf(float __x) { return __ocml_acosh_f32(__x); }
+__DEVICE__
+inline float asinf(float __x) { return __ocml_asin_f32(__x); }
+__DEVICE__
+inline float asinhf(float __x) { return __ocml_asinh_f32(__x); }
+__DEVICE__
+inline float atan2f(float __x, float __y) { return __ocml_atan2_f32(__x, __y); }
+__DEVICE__
+inline float atanf(float __x) { return __ocml_atan_f32(__x); }
+__DEVICE__
+inline float atanhf(float __x) { return __ocml_atanh_f32(__x); }
+__DEVICE__
+inline float cbrtf(float __x) { return __ocml_cbrt_f32(__x); }
+__DEVICE__
+inline float ceilf(float __x) { return __ocml_ceil_f32(__x); }
+__DEVICE__
+inline float copysignf(float __x, float __y) {
+  return __ocml_copysign_f32(__x, __y);
+}
+__DEVICE__
+inline float cosf(float __x) { return __ocml_cos_f32(__x); }
+__DEVICE__
+inline float coshf(float __x) { return __ocml_cosh_f32(__x); }
+__DEVICE__
+inline float cospif(float __x) { return __ocml_cospi_f32(__x); }
+__DEVICE__
+inline float cyl_bessel_i0f(float __x) { return __ocml_i0_f32(__x); }
+__DEVICE__
+inline float cyl_bessel_i1f(float __x) { return __ocml_i1_f32(__x); }
+__DEVICE__
+inline float erfcf(float __x) { return __ocml_erfc_f32(__x); }
+__DEVICE__
+inline float erfcinvf(float __x) { return __ocml_erfcinv_f32(__x); }
+__DEVICE__
+inline float erfcxf(float __x) { return __ocml_erfcx_f32(__x); }
+__DEVICE__
+inline float erff(float __x) { return __ocml_erf_f32(__x); }
+__DEVICE__
+inline float erfinvf(float __x) { return __ocml_erfinv_f32(__x); }
+__DEVICE__
+inline float exp10f(float __x) { return __ocml_exp10_f32(__x); }
+__DEVICE__
+inline float exp2f(float __x) { return __ocml_exp2_f32(__x); }
+__DEVICE__
+inline float expf(float __x) { return __ocml_exp_f32(__x); }
+__DEVICE__
+inline float expm1f(float __x) { return __ocml_expm1_f32(__x); }
+__DEVICE__
+inline float fabsf(float __x) { return __ocml_fabs_f32(__x); }
+__DEVICE__
+inline float fdimf(float __x, float __y) { return __ocml_fdim_f32(__x, __y); }
+__DEVICE__
+inline float fdividef(float __x, float __y) { return __x / __y; }
+__DEVICE__
+inline float floorf(float __x) { return __ocml_floor_f32(__x); }
+__DEVICE__
+inline float fmaf(float __x, float __y, float __z) {
+  return __ocml_fma_f32(__x, __y, __z);
+}
+__DEVICE__
+inline float fmaxf(float __x, float __y) { return __ocml_fmax_f32(__x, __y); }
+__DEVICE__
+inline float fminf(float __x, float __y) { return __ocml_fmin_f32(__x, __y); }
+__DEVICE__
+inline float fmodf(float __x, float __y) { return __ocml_fmod_f32(__x, __y); }
+__DEVICE__
+inline float frexpf(float __x, int *__nptr) {
+  int __tmp;
+  float __r =
+      __ocml_frexp_f32(__x, (__attribute__((address_space(5))) int *)&__tmp);
+  *__nptr = __tmp;
+
+  return __r;
+}
+__DEVICE__
+inline float hypotf(float __x, float __y) { return __ocml_hypot_f32(__x, __y); }
+__DEVICE__
+inline int ilogbf(float __x) { return __ocml_ilogb_f32(__x); }
+__DEVICE__
+inline __RETURN_TYPE isfinite(float __x) { return __ocml_isfinite_f32(__x); }
+__DEVICE__
+inline __RETURN_TYPE isinf(float __x) { return __ocml_isinf_f32(__x); }
+__DEVICE__
+inline __RETURN_TYPE isnan(float __x) { return __ocml_isnan_f32(__x); }
+__DEVICE__
+inline float j0f(float __x) { return __ocml_j0_f32(__x); }
+__DEVICE__
+inline float j1f(float __x) { return __ocml_j1_f32(__x); }
+__DEVICE__
+inline float jnf(int __n,
+                 float __x) { // TODO: we could use Ahmes multiplication
+                              // and the Miller & Brown algorithm
+  //       for linear recurrences to get O(log n) steps, but it's unclear if
+  //       it'd be beneficial in this case.
+  if (__n == 0)
+    return j0f(__x);
+  if (__n == 1)
+    return j1f(__x);
+
+  float __x0 = j0f(__x);
+  float __x1 = j1f(__x);
+  for (int __i = 1; __i < __n; ++__i) {
+    float __x2 = (2 * __i) / __x * __x1 - __x0;
+    __x0 = __x1;
+    __x1 = __x2;
+  }
+
+  return __x1;
+}
+__DEVICE__
+inline float ldexpf(float __x, int __e) { return __ocml_ldexp_f32(__x, __e); }
+__DEVICE__
+inline float lgammaf(float __x) { return __ocml_lgamma_f32(__x); }
+__DEVICE__
+inline long long int llrintf(float __x) { return __ocml_rint_f32(__x); }
+__DEVICE__
+inline long long int llroundf(float __x) { return __ocml_round_f32(__x); }
+__DEVICE__
+inline float log10f(float __x) { return __ocml_log10_f32(__x); }
+__DEVICE__
+inline float log1pf(float __x) { return __ocml_log1p_f32(__x); }
+__DEVICE__
+inline float log2f(float __x) { return __ocml_log2_f32(__x); }
+__DEVICE__
+inline float logbf(float __x) { return __ocml_logb_f32(__x); }
+__DEVICE__
+inline float logf(float __x) { return __ocml_log_f32(__x); }
+__DEVICE__
+inline long int lrintf(float __x) { return __ocml_rint_f32(__x); }
+__DEVICE__
+inline long int lroundf(float __x) { return __ocml_round_f32(__x); }
+__DEVICE__
+inline float modff(float __x, float *__iptr) {
+  float __tmp;
+  float __r =
+      __ocml_modf_f32(__x, (__attribute__((address_space(5))) float *)&__tmp);
+  *__iptr = __tmp;
+
+  return __r;
+}
+__DEVICE__
+inline float nanf(const char *__tagp) {
+  union {
+    float val;
+    struct ieee_float {
+      uint32_t mantissa : 22;
+      uint32_t quiet : 1;
+      uint32_t exponent : 8;
+      uint32_t sign : 1;
+    } bits;
+
+    static_assert(sizeof(float) == sizeof(ieee_float), "");
+  } __tmp;
+
+  __tmp.bits.sign = 0u;
+  __tmp.bits.exponent = ~0u;
+  __tmp.bits.quiet = 1u;
+  __tmp.bits.mantissa = __make_mantissa(__tagp);
+
+  return __tmp.val;
+}
+__DEVICE__
+inline float nearbyintf(float __x) { return __ocml_nearbyint_f32(__x); }
+__DEVICE__
+inline float nextafterf(float __x, float __y) {
+  return __ocml_nextafter_f32(__x, __y);
+}
+__DEVICE__
+inline float norm3df(float __x, float __y, float __z) {
+  return __ocml_len3_f32(__x, __y, __z);
+}
+__DEVICE__
+inline float norm4df(float __x, float __y, float __z, float __w) {
+  return __ocml_len4_f32(__x, __y, __z, __w);
+}
+__DEVICE__
+inline float normcdff(float __x) { return __ocml_ncdf_f32(__x); }
+__DEVICE__
+inline float normcdfinvf(float __x) { return __ocml_ncdfinv_f32(__x); }
+__DEVICE__
+inline float
+normf(int __dim,
+      const float *__a) { // TODO: placeholder until OCML adds support.
+  float __r = 0;
+  while (__dim--) {
+    __r += __a[0] * __a[0];
+    ++__a;
+  }
+
+  return __ocml_sqrt_f32(__r);
+}
+__DEVICE__
+inline float powf(float __x, float __y) { return __ocml_pow_f32(__x, __y); }
+__DEVICE__
+inline float rcbrtf(float __x) { return __ocml_rcbrt_f32(__x); }
+__DEVICE__
+inline float remainderf(float __x, float __y) {
+  return __ocml_remainder_f32(__x, __y);
+}
+__DEVICE__
+inline float remquof(float __x, float __y, int *__quo) {
+  int __tmp;
+  float __r = __ocml_remquo_f32(
+      __x, __y, (__attribute__((address_space(5))) int *)&__tmp);
+  *__quo = __tmp;
+
+  return __r;
+}
+__DEVICE__
+inline float rhypotf(float __x, float __y) {
+  return __ocml_rhypot_f32(__x, __y);
+}
+__DEVICE__
+inline float rintf(float __x) { return __ocml_rint_f32(__x); }
+__DEVICE__
+inline float rnorm3df(float __x, float __y, float __z) {
+  return __ocml_rlen3_f32(__x, __y, __z);
+}
+
+__DEVICE__
+inline float rnorm4df(float __x, float __y, float __z, float __w) {
+  return __ocml_rlen4_f32(__x, __y, __z, __w);
+}
+__DEVICE__
+inline float
+rnormf(int __dim,
+       const float *__a) { // TODO: placeholder until OCML adds support.
+  float __r = 0;
+  while (__dim--) {
+    __r += __a[0] * __a[0];
+    ++__a;
+  }
+
+  return __ocml_rsqrt_f32(__r);
+}
+__DEVICE__
+inline float roundf(float __x) { return __ocml_round_f32(__x); }
+__DEVICE__
+inline float rsqrtf(float __x) { return __ocml_rsqrt_f32(__x); }
+__DEVICE__
+inline float scalblnf(float __x, long int __n) {
+  return (__n < INT_MAX) ? __ocml_scalbn_f32(__x, __n)
+                         : __ocml_scalb_f32(__x, __n);
+}
+__DEVICE__
+inline float scalbnf(float __x, int __n) { return __ocml_scalbn_f32(__x, __n); }
+__DEVICE__
+inline __RETURN_TYPE signbit(float __x) { return __ocml_signbit_f32(__x); }
+__DEVICE__
+inline void sincosf(float __x, float *__sinptr, float *__cosptr) {
+  float __tmp;
+
+  *__sinptr =
+      __ocml_sincos_f32(__x, (__attribute__((address_space(5))) float *)&__tmp);
+  *__cosptr = __tmp;
+}
+__DEVICE__
+inline void sincospif(float __x, float *__sinptr, float *__cosptr) {
+  float __tmp;
+
+  *__sinptr = __ocml_sincospi_f32(
+      __x, (__attribute__((address_space(5))) float *)&__tmp);
+  *__cosptr = __tmp;
+}
+__DEVICE__
+inline float sinf(float __x) { return __ocml_sin_f32(__x); }
+__DEVICE__
+inline float sinhf(float __x) { return __ocml_sinh_f32(__x); }
+__DEVICE__
+inline float sinpif(float __x) { return __ocml_sinpi_f32(__x); }
+__DEVICE__
+inline float sqrtf(float __x) { return __ocml_sqrt_f32(__x); }
+__DEVICE__
+inline float tanf(float __x) { return __ocml_tan_f32(__x); }
+__DEVICE__
+inline float tanhf(float __x) { return __ocml_tanh_f32(__x); }
+__DEVICE__
+inline float tgammaf(float __x) { return __ocml_tgamma_f32(__x); }
+__DEVICE__
+inline float truncf(float __x) { return __ocml_trunc_f32(__x); }
+__DEVICE__
+inline float y0f(float __x) { return __ocml_y0_f32(__x); }
+__DEVICE__
+inline float y1f(float __x) { return __ocml_y1_f32(__x); }
+__DEVICE__
+inline float ynf(int __n,
+                 float __x) { // TODO: we could use Ahmes multiplication
+                              // and the Miller & Brown algorithm
+  //       for linear recurrences to get O(log n) steps, but it's unclear if
+  //       it'd be beneficial in this case. Placeholder until OCML adds
+  //       support.
+  if (__n == 0)
+    return y0f(__x);
+  if (__n == 1)
+    return y1f(__x);
+
+  float __x0 = y0f(__x);
+  float __x1 = y1f(__x);
+  for (int __i = 1; __i < __n; ++__i) {
+    float __x2 = (2 * __i) / __x * __x1 - __x0;
+    __x0 = __x1;
+    __x1 = __x2;
+  }
+
+  return __x1;
+}
+
+// BEGIN INTRINSICS
+__DEVICE__
+inline float __cosf(float __x) { return __ocml_native_cos_f32(__x); }
+__DEVICE__
+inline float __exp10f(float __x) { return __ocml_native_exp10_f32(__x); }
+__DEVICE__
+inline float __expf(float __x) { return __ocml_native_exp_f32(__x); }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline float __fadd_rd(float __x, float __y) {
+  return __ocml_add_rtn_f32(__x, __y);
+}
+#endif
+__DEVICE__
+inline float __fadd_rn(float __x, float __y) { return __x + __y; }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline float __fadd_ru(float __x, float __y) {
+  return __ocml_add_rtp_f32(__x, __y);
+}
+__DEVICE__
+inline float __fadd_rz(float __x, float __y) {
+  return __ocml_add_rtz_f32(__x, __y);
+}
+__DEVICE__
+inline float __fdiv_rd(float __x, float __y) {
+  return __ocml_div_rtn_f32(__x, __y);
+}
+#endif
+__DEVICE__
+inline float __fdiv_rn(float __x, float __y) { return __x / __y; }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline float __fdiv_ru(float __x, float __y) {
+  return __ocml_div_rtp_f32(__x, __y);
+}
+__DEVICE__
+inline float __fdiv_rz(float __x, float __y) {
+  return __ocml_div_rtz_f32(__x, __y);
+}
+#endif
+__DEVICE__
+inline float __fdividef(float __x, float __y) { return __x / __y; }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline float __fmaf_rd(float __x, float __y, float __z) {
+  return __ocml_fma_rtn_f32(__x, __y, __z);
+}
+#endif
+__DEVICE__
+inline float __fmaf_rn(float __x, float __y, float __z) {
+  return __ocml_fma_f32(__x, __y, __z);
+}
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline float __fmaf_ru(float __x, float __y, float __z) {
+  return __ocml_fma_rtp_f32(__x, __y, __z);
+}
+__DEVICE__
+inline float __fmaf_rz(float __x, float __y, float __z) {
+  return __ocml_fma_rtz_f32(__x, __y, __z);
+}
+__DEVICE__
+inline float __fmul_rd(float __x, float __y) {
+  return __ocml_mul_rtn_f32(__x, __y);
+}
+#endif
+__DEVICE__
+inline float __fmul_rn(float __x, float __y) { return __x * __y; }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline float __fmul_ru(float __x, float __y) {
+  return __ocml_mul_rtp_f32(__x, __y);
+}
+__DEVICE__
+inline float __fmul_rz(float __x, float __y) {
+  return __ocml_mul_rtz_f32(__x, __y);
+}
+__DEVICE__
+inline float __frcp_rd(float __x) { return __llvm_amdgcn_rcp_f32(__x); }
+#endif
+__DEVICE__
+inline float __frcp_rn(float __x) { return __llvm_amdgcn_rcp_f32(__x); }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline float __frcp_ru(float __x) { return __llvm_amdgcn_rcp_f32(__x); }
+__DEVICE__
+inline float __frcp_rz(float __x) { return __llvm_amdgcn_rcp_f32(__x); }
+#endif
+__DEVICE__
+inline float __frsqrt_rn(float __x) { return __llvm_amdgcn_rsq_f32(__x); }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline float __fsqrt_rd(float __x) { return __ocml_sqrt_rtn_f32(__x); }
+#endif
+__DEVICE__
+inline float __fsqrt_rn(float __x) { return __ocml_native_sqrt_f32(__x); }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline float __fsqrt_ru(float __x) { return __ocml_sqrt_rtp_f32(__x); }
+__DEVICE__
+inline float __fsqrt_rz(float __x) { return __ocml_sqrt_rtz_f32(__x); }
+__DEVICE__
+inline float __fsub_rd(float __x, float __y) {
+  return __ocml_sub_rtn_f32(__x, __y);
+}
+#endif
+__DEVICE__
+inline float __fsub_rn(float __x, float __y) { return __x - __y; }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline float __fsub_ru(float __x, float __y) {
+  return __ocml_sub_rtp_f32(__x, __y);
+}
+__DEVICE__
+inline float __fsub_rz(float __x, float __y) {
+  return __ocml_sub_rtz_f32(__x, __y);
+}
+#endif
+__DEVICE__
+inline float __log10f(float __x) { return __ocml_native_log10_f32(__x); }
+__DEVICE__
+inline float __log2f(float __x) { return __ocml_native_log2_f32(__x); }
+__DEVICE__
+inline float __logf(float __x) { return __ocml_native_log_f32(__x); }
+__DEVICE__
+inline float __powf(float __x, float __y) { return __ocml_pow_f32(__x, __y); }
+__DEVICE__
+inline float __saturatef(float __x) {
+  return (__x < 0) ? 0 : ((__x > 1) ? 1 : __x);
+}
+__DEVICE__
+inline void __sincosf(float __x, float *__sinptr, float *__cosptr) {
+  *__sinptr = __ocml_native_sin_f32(__x);
+  *__cosptr = __ocml_native_cos_f32(__x);
+}
+__DEVICE__
+inline float __sinf(float __x) { return __ocml_native_sin_f32(__x); }
+__DEVICE__
+inline float __tanf(float __x) { return __ocml_tan_f32(__x); }
+// END INTRINSICS
+// END FLOAT
+
+// BEGIN DOUBLE
+__DEVICE__
+inline double abs(double __x) { return __ocml_fabs_f64(__x); }
+__DEVICE__
+inline double acos(double __x) { return __ocml_acos_f64(__x); }
+__DEVICE__
+inline double acosh(double __x) { return __ocml_acosh_f64(__x); }
+__DEVICE__
+inline double asin(double __x) { return __ocml_asin_f64(__x); }
+__DEVICE__
+inline double asinh(double __x) { return __ocml_asinh_f64(__x); }
+__DEVICE__
+inline double atan(double __x) { return __ocml_atan_f64(__x); }
+__DEVICE__
+inline double atan2(double __x, double __y) {
+  return __ocml_atan2_f64(__x, __y);
+}
+__DEVICE__
+inline double atanh(double __x) { return __ocml_atanh_f64(__x); }
+__DEVICE__
+inline double cbrt(double __x) { return __ocml_cbrt_f64(__x); }
+__DEVICE__
+inline double ceil(double __x) { return __ocml_ceil_f64(__x); }
+__DEVICE__
+inline double copysign(double __x, double __y) {
+  return __ocml_copysign_f64(__x, __y);
+}
+__DEVICE__
+inline double cos(double __x) { return __ocml_cos_f64(__x); }
+__DEVICE__
+inline double cosh(double __x) { return __ocml_cosh_f64(__x); }
+__DEVICE__
+inline double cospi(double __x) { return __ocml_cospi_f64(__x); }
+__DEVICE__
+inline double cyl_bessel_i0(double __x) { return __ocml_i0_f64(__x); }
+__DEVICE__
+inline double cyl_bessel_i1(double __x) { return __ocml_i1_f64(__x); }
+__DEVICE__
+inline double erf(double __x) { return __ocml_erf_f64(__x); }
+__DEVICE__
+inline double erfc(double __x) { return __ocml_erfc_f64(__x); }
+__DEVICE__
+inline double erfcinv(double __x) { return __ocml_erfcinv_f64(__x); }
+__DEVICE__
+inline double erfcx(double __x) { return __ocml_erfcx_f64(__x); }
+__DEVICE__
+inline double erfinv(double __x) { return __ocml_erfinv_f64(__x); }
+__DEVICE__
+inline double exp(double __x) { return __ocml_exp_f64(__x); }
+__DEVICE__
+inline double exp10(double __x) { return __ocml_exp10_f64(__x); }
+__DEVICE__
+inline double exp2(double __x) { return __ocml_exp2_f64(__x); }
+__DEVICE__
+inline double expm1(double __x) { return __ocml_expm1_f64(__x); }
+__DEVICE__
+inline double fabs(double __x) { return __ocml_fabs_f64(__x); }
+__DEVICE__
+inline double fdim(double __x, double __y) { return __ocml_fdim_f64(__x, __y); }
+__DEVICE__
+inline double floor(double __x) { return __ocml_floor_f64(__x); }
+__DEVICE__
+inline double fma(double __x, double __y, double __z) {
+  return __ocml_fma_f64(__x, __y, __z);
+}
+__DEVICE__
+inline double fmax(double __x, double __y) { return __ocml_fmax_f64(__x, __y); }
+__DEVICE__
+inline double fmin(double __x, double __y) { return __ocml_fmin_f64(__x, __y); }
+__DEVICE__
+inline double fmod(double __x, double __y) { return __ocml_fmod_f64(__x, __y); }
+__DEVICE__
+inline double frexp(double __x, int *__nptr) {
+  int __tmp;
+  double __r =
+      __ocml_frexp_f64(__x, (__attribute__((address_space(5))) int *)&__tmp);
+  *__nptr = __tmp;
+
+  return __r;
+}
+__DEVICE__
+inline double hypot(double __x, double __y) {
+  return __ocml_hypot_f64(__x, __y);
+}
+__DEVICE__
+inline int ilogb(double __x) { return __ocml_ilogb_f64(__x); }
+__DEVICE__
+inline __RETURN_TYPE isfinite(double __x) { return __ocml_isfinite_f64(__x); }
+__DEVICE__
+inline __RETURN_TYPE isinf(double __x) { return __ocml_isinf_f64(__x); }
+__DEVICE__
+inline __RETURN_TYPE isnan(double __x) { return __ocml_isnan_f64(__x); }
+__DEVICE__
+inline double j0(double __x) { return __ocml_j0_f64(__x); }
+__DEVICE__
+inline double j1(double __x) { return __ocml_j1_f64(__x); }
+__DEVICE__
+inline double jn(int __n,
+                 double __x) { // TODO: we could use Ahmes multiplication
+                               // and the Miller & Brown algorithm
+  //       for linear recurrences to get O(log n) steps, but it's unclear if
+  //       it'd be beneficial in this case. Placeholder until OCML adds
+  //       support.
+  if (__n == 0)
+    return j0f(__x);
+  if (__n == 1)
+    return j1f(__x);
+
+  double __x0 = j0f(__x);
+  double __x1 = j1f(__x);
+  for (int __i = 1; __i < __n; ++__i) {
+    double __x2 = (2 * __i) / __x * __x1 - __x0;
+    __x0 = __x1;
+    __x1 = __x2;
+  }
+
+  return __x1;
+}
+__DEVICE__
+inline double ldexp(double __x, int __e) { return __ocml_ldexp_f64(__x, __e); }
+__DEVICE__
+inline double lgamma(double __x) { return __ocml_lgamma_f64(__x); }
+__DEVICE__
+inline long long int llrint(double __x) { return __ocml_rint_f64(__x); }
+__DEVICE__
+inline long long int llround(double __x) { return __ocml_round_f64(__x); }
+__DEVICE__
+inline double log(double __x) { return __ocml_log_f64(__x); }
+__DEVICE__
+inline double log10(double __x) { return __ocml_log10_f64(__x); }
+__DEVICE__
+inline double log1p(double __x) { return __ocml_log1p_f64(__x); }
+__DEVICE__
+inline double log2(double __x) { return __ocml_log2_f64(__x); }
+__DEVICE__
+inline double logb(double __x) { return __ocml_logb_f64(__x); }
+__DEVICE__
+inline long int lrint(double __x) { return __ocml_rint_f64(__x); }
+__DEVICE__
+inline long int lround(double __x) { return __ocml_round_f64(__x); }
+__DEVICE__
+inline double modf(double __x, double *__iptr) {
+  double __tmp;
+  double __r =
+      __ocml_modf_f64(__x, (__attribute__((address_space(5))) double *)&__tmp);
+  *__iptr = __tmp;
+
+  return __r;
+}
+__DEVICE__
+inline double nan(const char *__tagp) {
+#if !_WIN32
+  union {
+    double val;
+    struct ieee_double {
+      uint64_t mantissa : 51;
+      uint32_t quiet : 1;
+      uint32_t exponent : 11;
+      uint32_t sign : 1;
+    } bits;
+    static_assert(sizeof(double) == sizeof(ieee_double), "");
+  } __tmp;
+
+  __tmp.bits.sign = 0u;
+  __tmp.bits.exponent = ~0u;
+  __tmp.bits.quiet = 1u;
+  __tmp.bits.mantissa = __make_mantissa(__tagp);
+
+  return __tmp.val;
+#else
+  static_assert(sizeof(uint64_t) == sizeof(double));
+  uint64_t val = __make_mantissa(__tagp);
+  val |= 0xFFF << 51;
+  return *reinterpret_cast<double *>(&val);
+#endif
+}
+__DEVICE__
+inline double nearbyint(double __x) { return __ocml_nearbyint_f64(__x); }
+__DEVICE__
+inline double nextafter(double __x, double __y) {
+  return __ocml_nextafter_f64(__x, __y);
+}
+__DEVICE__
+inline double
+norm(int __dim,
+     const double *__a) { // TODO: placeholder until OCML adds support.
+  double __r = 0;
+  while (__dim--) {
+    __r += __a[0] * __a[0];
+    ++__a;
+  }
+
+  return __ocml_sqrt_f64(__r);
+}
+__DEVICE__
+inline double norm3d(double __x, double __y, double __z) {
+  return __ocml_len3_f64(__x, __y, __z);
+}
+__DEVICE__
+inline double norm4d(double __x, double __y, double __z, double __w) {
+  return __ocml_len4_f64(__x, __y, __z, __w);
+}
+__DEVICE__
+inline double normcdf(double __x) { return __ocml_ncdf_f64(__x); }
+__DEVICE__
+inline double normcdfinv(double __x) { return __ocml_ncdfinv_f64(__x); }
+__DEVICE__
+inline double pow(double __x, double __y) { return __ocml_pow_f64(__x, __y); }
+__DEVICE__
+inline double rcbrt(double __x) { return __ocml_rcbrt_f64(__x); }
+__DEVICE__
+inline double remainder(double __x, double __y) {
+  return __ocml_remainder_f64(__x, __y);
+}
+__DEVICE__
+inline double remquo(double __x, double __y, int *__quo) {
+  int __tmp;
+  double __r = __ocml_remquo_f64(
+      __x, __y, (__attribute__((address_space(5))) int *)&__tmp);
+  *__quo = __tmp;
+
+  return __r;
+}
+__DEVICE__
+inline double rhypot(double __x, double __y) {
+  return __ocml_rhypot_f64(__x, __y);
+}
+__DEVICE__
+inline double rint(double __x) { return __ocml_rint_f64(__x); }
+__DEVICE__
+inline double
+rnorm(int __dim,
+      const double *__a) { // TODO: placeholder until OCML adds support.
+  double __r = 0;
+  while (__dim--) {
+    __r += __a[0] * __a[0];
+    ++__a;
+  }
+
+  return __ocml_rsqrt_f64(__r);
+}
+__DEVICE__
+inline double rnorm3d(double __x, double __y, double __z) {
+  return __ocml_rlen3_f64(__x, __y, __z);
+}
+__DEVICE__
+inline double rnorm4d(double __x, double __y, double __z, double __w) {
+  return __ocml_rlen4_f64(__x, __y, __z, __w);
+}
+__DEVICE__
+inline double round(double __x) { return __ocml_round_f64(__x); }
+__DEVICE__
+inline double rsqrt(double __x) { return __ocml_rsqrt_f64(__x); }
+__DEVICE__
+inline double scalbln(double __x, long int __n) {
+  return (__n < INT_MAX) ? __ocml_scalbn_f64(__x, __n)
+                         : __ocml_scalb_f64(__x, __n);
+}
+__DEVICE__
+inline double scalbn(double __x, int __n) {
+  return __ocml_scalbn_f64(__x, __n);
+}
+__DEVICE__
+inline __RETURN_TYPE signbit(double __x) { return __ocml_signbit_f64(__x); }
+__DEVICE__
+inline double sin(double __x) { return __ocml_sin_f64(__x); }
+__DEVICE__
+inline void sincos(double __x, double *__sinptr, double *__cosptr) {
+  double __tmp;
+  *__sinptr = __ocml_sincos_f64(
+      __x, (__attribute__((address_space(5))) double *)&__tmp);
+  *__cosptr = __tmp;
+}
+__DEVICE__
+inline void sincospi(double __x, double *__sinptr, double *__cosptr) {
+  double __tmp;
+  *__sinptr = __ocml_sincospi_f64(
+      __x, (__attribute__((address_space(5))) double *)&__tmp);
+  *__cosptr = __tmp;
+}
+__DEVICE__
+inline double sinh(double __x) { return __ocml_sinh_f64(__x); }
+__DEVICE__
+inline double sinpi(double __x) { return __ocml_sinpi_f64(__x); }
+__DEVICE__
+inline double sqrt(double __x) { return __ocml_sqrt_f64(__x); }
+__DEVICE__
+inline double tan(double __x) { return __ocml_tan_f64(__x); }
+__DEVICE__
+inline double tanh(double __x) { return __ocml_tanh_f64(__x); }
+__DEVICE__
+inline double tgamma(double __x) { return __ocml_tgamma_f64(__x); }
+__DEVICE__
+inline double trunc(double __x) { return __ocml_trunc_f64(__x); }
+__DEVICE__
+inline double y0(double __x) { return __ocml_y0_f64(__x); }
+__DEVICE__
+inline double y1(double __x) { return __ocml_y1_f64(__x); }
+__DEVICE__
+inline double yn(int __n,
+                 double __x) { // TODO: we could use Ahmes multiplication
+                               // and the Miller & Brown algorithm
+  //       for linear recurrences to get O(log n) steps, but it's unclear if
+  //       it'd be beneficial in this case. Placeholder until OCML adds
+  //       support.
+  if (__n == 0)
+    return j0f(__x);
+  if (__n == 1)
+    return j1f(__x);
+
+  double __x0 = j0f(__x);
+  double __x1 = j1f(__x);
+  for (int __i = 1; __i < __n; ++__i) {
+    double __x2 = (2 * __i) / __x * __x1 - __x0;
+    __x0 = __x1;
+    __x1 = __x2;
+  }
+
+  return __x1;
+}
+
+// BEGIN INTRINSICS
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline double __dadd_rd(double __x, double __y) {
+  return __ocml_add_rtn_f64(__x, __y);
+}
+#endif
+__DEVICE__
+inline double __dadd_rn(double __x, double __y) { return __x + __y; }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline double __dadd_ru(double __x, double __y) {
+  return __ocml_add_rtp_f64(__x, __y);
+}
+__DEVICE__
+inline double __dadd_rz(double __x, double __y) {
+  return __ocml_add_rtz_f64(__x, __y);
+}
+__DEVICE__
+inline double __ddiv_rd(double __x, double __y) {
+  return __ocml_div_rtn_f64(__x, __y);
+}
+#endif
+__DEVICE__
+inline double __ddiv_rn(double __x, double __y) { return __x / __y; }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline double __ddiv_ru(double __x, double __y) {
+  return __ocml_div_rtp_f64(__x, __y);
+}
+__DEVICE__
+inline double __ddiv_rz(double __x, double __y) {
+  return __ocml_div_rtz_f64(__x, __y);
+}
+__DEVICE__
+inline double __dmul_rd(double __x, double __y) {
+  return __ocml_mul_rtn_f64(__x, __y);
+}
+#endif
+__DEVICE__
+inline double __dmul_rn(double __x, double __y) { return __x * __y; }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline double __dmul_ru(double __x, double __y) {
+  return __ocml_mul_rtp_f64(__x, __y);
+}
+__DEVICE__
+inline double __dmul_rz(double __x, double __y) {
+  return __ocml_mul_rtz_f64(__x, __y);
+}
+__DEVICE__
+inline double __drcp_rd(double __x) { return __llvm_amdgcn_rcp_f64(__x); }
+#endif
+__DEVICE__
+inline double __drcp_rn(double __x) { return __llvm_amdgcn_rcp_f64(__x); }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline double __drcp_ru(double __x) { return __llvm_amdgcn_rcp_f64(__x); }
+__DEVICE__
+inline double __drcp_rz(double __x) { return __llvm_amdgcn_rcp_f64(__x); }
+__DEVICE__
+inline double __dsqrt_rd(double __x) { return __ocml_sqrt_rtn_f64(__x); }
+#endif
+__DEVICE__
+inline double __dsqrt_rn(double __x) { return __ocml_sqrt_f64(__x); }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline double __dsqrt_ru(double __x) { return __ocml_sqrt_rtp_f64(__x); }
+__DEVICE__
+inline double __dsqrt_rz(double __x) { return __ocml_sqrt_rtz_f64(__x); }
+__DEVICE__
+inline double __dsub_rd(double __x, double __y) {
+  return __ocml_sub_rtn_f64(__x, __y);
+}
+#endif
+__DEVICE__
+inline double __dsub_rn(double __x, double __y) { return __x - __y; }
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline double __dsub_ru(double __x, double __y) {
+  return __ocml_sub_rtp_f64(__x, __y);
+}
+__DEVICE__
+inline double __dsub_rz(double __x, double __y) {
+  return __ocml_sub_rtz_f64(__x, __y);
+}
+__DEVICE__
+inline double __fma_rd(double __x, double __y, double __z) {
+  return __ocml_fma_rtn_f64(__x, __y, __z);
+}
+#endif
+__DEVICE__
+inline double __fma_rn(double __x, double __y, double __z) {
+  return __ocml_fma_f64(__x, __y, __z);
+}
+#if defined OCML_BASIC_ROUNDED_OPERATIONS
+__DEVICE__
+inline double __fma_ru(double __x, double __y, double __z) {
+  return __ocml_fma_rtp_f64(__x, __y, __z);
+}
+__DEVICE__
+inline double __fma_rz(double __x, double __y, double __z) {
+  return __ocml_fma_rtz_f64(__x, __y, __z);
+}
+#endif
+// END INTRINSICS
+// END DOUBLE
+
+// BEGIN INTEGER
+__DEVICE__
+inline int abs(int __x) {
+  int __sgn = __x >> (sizeof(int) * CHAR_BIT - 1);
+  return (__x ^ __sgn) - __sgn;
+}
+__DEVICE__
+inline long labs(long __x) {
+  long __sgn = __x >> (sizeof(long) * CHAR_BIT - 1);
+  return (__x ^ __sgn) - __sgn;
+}
+__DEVICE__
+inline long long llabs(long long __x) {
+  long long __sgn = __x >> (sizeof(long long) * CHAR_BIT - 1);
+  return (__x ^ __sgn) - __sgn;
+}
+
+#if defined(__cplusplus)
+__DEVICE__
+inline long abs(long __x) { return labs(__x); }
+__DEVICE__
+inline long long abs(long long __x) { return llabs(__x); }
+#endif
+// END INTEGER
+
+__DEVICE__
+inline _Float16 fma(_Float16 __x, _Float16 __y, _Float16 __z) {
+  return __ocml_fma_f16(__x, __y, __z);
+}
+
+__DEVICE__
+inline float fma(float __x, float __y, float __z) {
+  return fmaf(__x, __y, __z);
+}
+
+#pragma push_macro("__DEF_FUN1")
+#pragma push_macro("__DEF_FUN2")
+#pragma push_macro("__DEF_FUNI")
+#pragma push_macro("__DEF_FLOAT_FUN2I")
+#pragma push_macro("__HIP_OVERLOAD1")
+#pragma push_macro("__HIP_OVERLOAD2")
+
+// __hip_enable_if::type is a type function which returns __T if __B is true.
+template <bool __B, class __T = void> struct __hip_enable_if {};
+
+template <class __T> struct __hip_enable_if<true, __T> { typedef __T type; };
+
+// __HIP_OVERLOAD1 is used to resolve function calls with integer argument to
+// avoid compilation error due to ambibuity. e.g. floor(5) is resolved with
+// floor(double).
+#define __HIP_OVERLOAD1(__retty, __fn)                                         \
+  template <typename __T>                                                      \
+  __DEVICE__ typename __hip_enable_if<std::numeric_limits<__T>::is_integer,    \
+                                      __retty>::type                           \
+  __fn(__T __x) {                                                              \
+    return ::__fn((double)__x);                                                \
+  }
+
+// __HIP_OVERLOAD2 is used to resolve function calls with mixed float/double
+// or integer argument to avoid compilation error due to ambibuity. e.g.
+// max(5.0f, 6.0) is resolved with max(double, double).
+#define __HIP_OVERLOAD2(__retty, __fn)                                         \
+  template <typename __T1, typename __T2>                                      \
+  __DEVICE__                                                                   \
+      typename __hip_enable_if<std::numeric_limits<__T1>::is_specialized &&    \
+                                   std::numeric_limits<__T2>::is_specialized,  \
+                               __retty>::type                                  \
+      __fn(__T1 __x, __T2 __y) {                                               \
+    return __fn((double)__x, (double)__y);                                     \
+  }
+
+// Define cmath functions with float argument and returns float.
+#define __DEF_FUN1(__retty, __func)                                            \
+  __DEVICE__                                                                   \
+  inline float __func(float __x) { return __func##f(__x); }                    \
+  __HIP_OVERLOAD1(__retty, __func)
+
+// Define cmath functions with float argument and returns __retty.
+#define __DEF_FUNI(__retty, __func)                                            \
+  __DEVICE__                                                                   \
+  inline __retty __func(float __x) { return __func##f(__x); }                  \
+  __HIP_OVERLOAD1(__retty, __func)
+
+// define cmath functions with two float arguments.
+#define __DEF_FUN2(__retty, __func)                                            \
+  __DEVICE__                                                                   \
+  inline float __func(float __x, float __y) { return __func##f(__x, __y); }    \
+  __HIP_OVERLOAD2(__retty, __func)
+
+__DEF_FUN1(double, acos)
+__DEF_FUN1(double, acosh)
+__DEF_FUN1(double, asin)
+__DEF_FUN1(double, asinh)
+__DEF_FUN1(double, atan)
+__DEF_FUN2(double, atan2);
+__DEF_FUN1(double, atanh)
+__DEF_FUN1(double, cbrt)
+__DEF_FUN1(double, ceil)
+__DEF_FUN2(double, copysign);
+__DEF_FUN1(double, cos)
+__DEF_FUN1(double, cosh)
+__DEF_FUN1(double, erf)
+__DEF_FUN1(double, erfc)
+__DEF_FUN1(double, exp)
+__DEF_FUN1(double, exp2)
+__DEF_FUN1(double, expm1)
+__DEF_FUN1(double, fabs)
+__DEF_FUN2(double, fdim);
+__DEF_FUN1(double, floor)
+__DEF_FUN2(double, fmax);
+__DEF_FUN2(double, fmin);
+__DEF_FUN2(double, fmod);
+//__HIP_OVERLOAD1(int, fpclassify)
+__DEF_FUN2(double, hypot);
+__DEF_FUNI(int, ilogb)
+__HIP_OVERLOAD1(bool, isfinite)
+__HIP_OVERLOAD2(bool, isgreater);
+__HIP_OVERLOAD2(bool, isgreaterequal);
+__HIP_OVERLOAD1(bool, isinf);
+__HIP_OVERLOAD2(bool, isless);
+__HIP_OVERLOAD2(bool, islessequal);
+__HIP_OVERLOAD2(bool, islessgreater);
+__HIP_OVERLOAD1(bool, isnan);
+//__HIP_OVERLOAD1(bool, isnormal)
+__HIP_OVERLOAD2(bool, isunordered);
+__DEF_FUN1(double, lgamma)
+__DEF_FUN1(double, log)
+__DEF_FUN1(double, log10)
+__DEF_FUN1(double, log1p)
+__DEF_FUN1(double, log2)
+__DEF_FUN1(double, logb)
+__DEF_FUNI(long long, llrint)
+__DEF_FUNI(long long, llround)
+__DEF_FUNI(long, lrint)
+__DEF_FUNI(long, lround)
+__DEF_FUN1(double, nearbyint);
+__DEF_FUN2(double, nextafter);
+__DEF_FUN2(double, pow);
+__DEF_FUN2(double, remainder);
+__DEF_FUN1(double, rint);
+__DEF_FUN1(double, round);
+__HIP_OVERLOAD1(bool, signbit)
+__DEF_FUN1(double, sin)
+__DEF_FUN1(double, sinh)
+__DEF_FUN1(double, sqrt)
+__DEF_FUN1(double, tan)
+__DEF_FUN1(double, tanh)
+__DEF_FUN1(double, tgamma)
+__DEF_FUN1(double, trunc);
+
+// define cmath functions with a float and an integer argument.
+#define __DEF_FLOAT_FUN2I(__func)                                              \
+  __DEVICE__                                                                   \
+  inline float __func(float __x, int __y) { return __func##f(__x, __y); }
+__DEF_FLOAT_FUN2I(scalbn)
+
+template <class T> __DEVICE__ inline T min(T __arg1, T __arg2) {
+  return (__arg1 < __arg2) ? __arg1 : __arg2;
+}
+
+template <class T> __DEVICE__ inline T max(T __arg1, T __arg2) {
+  return (__arg1 > __arg2) ? __arg1 : __arg2;
+}
+
+__DEVICE__ inline int min(int __arg1, int __arg2) {
+  return (__arg1 < __arg2) ? __arg1 : __arg2;
+}
+__DEVICE__ inline int max(int __arg1, int __arg2) {
+  return (__arg1 > __arg2) ? __arg1 : __arg2;
+}
+
+__DEVICE__
+inline float max(float __x, float __y) { return fmaxf(__x, __y); }
+
+__DEVICE__
+inline double max(double __x, double __y) { return fmax(__x, __y); }
+
+__DEVICE__
+inline float min(float __x, float __y) { return fminf(__x, __y); }
+
+__DEVICE__
+inline double min(double __x, double __y) { return fmin(__x, __y); }
+
+__HIP_OVERLOAD2(double, max)
+__HIP_OVERLOAD2(double, min)
+
+__host__ inline static int min(int __arg1, int __arg2) {
+  return std::min(__arg1, __arg2);
+}
+
+__host__ inline static int max(int __arg1, int __arg2) {
+  return std::max(__arg1, __arg2);
+}
+
+#pragma pop_macro("__DEF_FUN1")
+#pragma pop_macro("__DEF_FUN2")
+#pragma pop_macro("__DEF_FUNI")
+#pragma pop_macro("__DEF_FLOAT_FUN2I")
+#pragma pop_macro("__HIP_OVERLOAD1")
+#pragma pop_macro("__HIP_OVERLOAD2")
+#pragma pop_macro("__DEVICE__")
+#pragma pop_macro("__RETURN_TYPE")
+
+#endif // __CLANG_HIP_MATH_H__