flang/module/ieee_arithmetic.f90

   1 !===-- module/ieee_arithmetic.f90 ------------------------------------------===!
   2 !
   3 ! Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
   4 ! See https://llvm.org/LICENSE.txt for license information.
   5 ! SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
   6 !
   7 !===------------------------------------------------------------------------===!
   8
   9 ! Fortran 2018 Clause 17
  10
  11 module ieee_arithmetic
  12   ! 17.1: "The module IEEE_ARITHMETIC behaves as if it contained a
  13   ! USE statement for IEEE_EXCEPTIONS; everything that is public in
  14   ! IEEE_EXCEPTIONS is public in IEEE_ARITHMETIC."
  15   use __Fortran_ieee_exceptions
  16
  17   use __Fortran_builtins, only: &
  18     ieee_is_nan => __builtin_ieee_is_nan, &
  19     ieee_is_negative => __builtin_ieee_is_negative, &
  20     ieee_is_normal => __builtin_ieee_is_normal, &
  21     ieee_next_after => __builtin_ieee_next_after, &
  22     ieee_next_down => __builtin_ieee_next_down, &
  23     ieee_next_up => __builtin_ieee_next_up, &
  24     ieee_scalb => scale, &
  25     ieee_selected_real_kind => __builtin_ieee_selected_real_kind, &
  26     ieee_support_datatype => __builtin_ieee_support_datatype, &
  27     ieee_support_denormal => __builtin_ieee_support_denormal, &
  28     ieee_support_divide => __builtin_ieee_support_divide, &
  29     ieee_support_inf => __builtin_ieee_support_inf, &
  30     ieee_support_io => __builtin_ieee_support_io, &
  31     ieee_support_nan => __builtin_ieee_support_nan, &
  32     ieee_support_sqrt => __builtin_ieee_support_sqrt, &
  33     ieee_support_standard => __builtin_ieee_support_standard, &
  34     ieee_support_subnormal => __builtin_ieee_support_subnormal, &
  35     ieee_support_underflow_control => __builtin_ieee_support_underflow_control
  36
  37   implicit none
  38
  39   type :: ieee_class_type
  40     private
  41     integer(kind=1) :: which = 0
  42   end type ieee_class_type
  43
  44   type(ieee_class_type), parameter :: &
  45     ieee_signaling_nan = ieee_class_type(1), &
  46     ieee_quiet_nan = ieee_class_type(2), &
  47     ieee_negative_inf = ieee_class_type(3), &
  48     ieee_negative_normal = ieee_class_type(4), &
  49     ieee_negative_denormal = ieee_class_type(5), &
  50     ieee_negative_zero = ieee_class_type(6), &
  51     ieee_positive_zero = ieee_class_type(7), &
  52     ieee_positive_subnormal = ieee_class_type(8), &
  53     ieee_positive_normal = ieee_class_type(9), &
  54     ieee_positive_inf = ieee_class_type(10), &
  55     ieee_other_value = ieee_class_type(11)
  56
  57   type(ieee_class_type), parameter :: &
  58     ieee_negative_subnormal = ieee_negative_denormal, &
  59     ieee_positive_denormal = ieee_negative_subnormal
  60
  61   type :: ieee_round_type
  62     private
  63     integer(kind=1) :: mode = 0
  64   end type ieee_round_type
  65
  66   type(ieee_round_type), parameter :: &
  67     ieee_nearest = ieee_round_type(1), &
  68     ieee_to_zero = ieee_round_type(2), &
  69     ieee_up = ieee_round_type(3), &
  70     ieee_down = ieee_round_type(4), &
  71     ieee_away = ieee_round_type(5), &
  72     ieee_other = ieee_round_type(6)
  73
  74   interface operator(==)
  75     elemental logical function ieee_class_eq(x, y)
  76       import ieee_class_type
  77       type(ieee_class_type), intent(in) :: x, y
  78     end function ieee_class_eq
  79     elemental logical function ieee_round_eq(x, y)
  80       import ieee_round_type
  81       type(ieee_round_type), intent(in) :: x, y
  82     end function ieee_round_eq
  83   end interface operator(==)
  84   interface operator(/=)
  85     elemental logical function ieee_class_ne(x, y)
  86       import ieee_class_type
  87       type(ieee_class_type), intent(in) :: x, y
  88     end function ieee_class_ne
  89     elemental logical function ieee_round_ne(x, y)
  90       import ieee_round_type
  91       type(ieee_round_type), intent(in) :: x, y
  92     end function ieee_round_ne
  93   end interface operator(/=)
  94   private :: ieee_class_eq, ieee_round_eq, ieee_class_ne, ieee_round_ne
  95
  96 ! Define specifics with 1 or 2 INTEGER, LOGICAL, or REAL arguments for
  97 ! generic G.
  98 #define SPECIFICS_I(G) \
  99   G(1) G(2) G(4) G(8) G(16)
 100 #define SPECIFICS_L(G) \
 101   G(1) G(2) G(4) G(8)
 102 #define SPECIFICS_R(G) \
 103   G(2) G(3) G(4) G(8) G(10) G(16)
 104 #define SPECIFICS_II(G) \
 105   G(1,1) G(1,2) G(1,4) G(1,8) G(1,16) \
 106   G(2,1) G(2,2) G(2,4) G(2,8) G(2,16) \
 107   G(4,1) G(4,2) G(4,4) G(4,8) G(4,16) \
 108   G(8,1) G(8,2) G(8,4) G(8,8) G(8,16) \
 109   G(16,1) G(16,2) G(16,4) G(16,8) G(16,16)
 110 #define SPECIFICS_RI(G) \
 111   G(2,1) G(2,2) G(2,4) G(2,8) G(2,16) \
 112   G(3,1) G(3,2) G(3,4) G(3,8) G(3,16) \
 113   G(4,1) G(4,2) G(4,4) G(4,8) G(4,16) \
 114   G(8,1) G(8,2) G(8,4) G(8,8) G(8,16) \
 115   G(10,1) G(10,2) G(10,4) G(10,8) G(10,16) \
 116   G(16,1) G(16,2) G(16,4) G(16,8) G(16,16)
 117 #define SPECIFICS_RR(G) \
 118   G(2,2) G(2,3) G(2,4) G(2,8) G(2,10) G(2,16) \
 119   G(3,2) G(3,3) G(3,4) G(3,8) G(3,10) G(3,16) \
 120   G(4,2) G(4,3) G(4,4) G(4,8) G(4,10) G(4,16) \
 121   G(8,2) G(8,3) G(8,4) G(8,8) G(8,10) G(8,16) \
 122   G(10,2) G(10,3) G(10,4) G(10,8) G(10,10) G(10,16) \
 123   G(16,2) G(16,3) G(16,4) G(16,8) G(16,10) G(16,16)
 124
 125 ! Set PRIVATE accessibility for specifics with 1 or 2 INTEGER, LOGICAL, or REAL
 126 ! arguments for generic G.
 127 #define PRIVATE_I(G) private :: \
 128   G##_i1, G##_i2, G##_i4, G##_i8, G##_i16
 129 #define PRIVATE_L(G) private :: \
 130   G##_l1, G##_l2, G##_l4, G##_l8
 131 #define PRIVATE_R(G) private :: \
 132   G##_a2, G##_a3, G##_a4, G##_a8, G##_a10, G##_a16
 133 #define PRIVATE_II(G) private :: \
 134   G##_i1_i1, G##_i1_i2, G##_i1_i4, G##_i1_i8, G##_i1_i16, \
 135   G##_i2_i1, G##_i2_i2, G##_i2_i4, G##_i2_i8, G##_i2_i16, \
 136   G##_i4_i1, G##_i4_i2, G##_i4_i4, G##_i4_i8, G##_i4_i16, \
 137   G##_i8_i1, G##_i8_i2, G##_i8_i4, G##_i8_i8, G##_i8_i16, \
 138   G##_i16_i1, G##_i16_i2, G##_i16_i4, G##_i16_i8, G##_i16_i16
 139 #define PRIVATE_RI(G) private :: \
 140   G##_a2_i1, G##_a2_i2, G##_a2_i4, G##_a2_i8, G##_a2_i16, \
 141   G##_a3_i1, G##_a3_i2, G##_a3_i4, G##_a3_i8, G##_a3_i16, \
 142   G##_a4_i1, G##_a4_i2, G##_a4_i4, G##_a4_i8, G##_a4_i16, \
 143   G##_a8_i1, G##_a8_i2, G##_a8_i4, G##_a8_i8, G##_a8_i16, \
 144   G##_a10_i1, G##_a10_i2, G##_a10_i4, G##_a10_i8, G##_a10_i16, \
 145   G##_a16_i1, G##_a16_i2, G##_a16_i4, G##_a16_i8, G##_a16_i16
 146 #define PRIVATE_RR(G) private :: \
 147   G##_a2_a2, G##_a2_a3, G##_a2_a4, G##_a2_a8, G##_a2_a10, G##_a2_a16, \
 148   G##_a3_a2, G##_a3_a3, G##_a3_a4, G##_a3_a8, G##_a3_a10, G##_a3_a16, \
 149   G##_a4_a2, G##_a4_a3, G##_a4_a4, G##_a4_a8, G##_a4_a10, G##_a4_a16, \
 150   G##_a8_a2, G##_a8_a3, G##_a8_a4, G##_a8_a8, G##_a8_a10, G##_a8_a16, \
 151   G##_a10_a2, G##_a10_a3, G##_a10_a4, G##_a10_a8, G##_a10_a10, G##_a10_a16, \
 152   G##_a16_a2, G##_a16_a3, G##_a16_a4, G##_a16_a8, G##_a16_a10, G##_a16_a16
 153
 154 #define IEEE_CLASS_R(XKIND) \
 155   elemental type(ieee_class_type) function ieee_class_a##XKIND(x); \
 156     import ieee_class_type; \
 157     real(XKIND), intent(in) :: x; \
 158   end function ieee_class_a##XKIND;
 159   interface ieee_class
 160     SPECIFICS_R(IEEE_CLASS_R)
 161   end interface ieee_class
 162   PRIVATE_R(IEEE_CLASS)
 163 #undef IEEE_CLASS_R
 164
 165 #define IEEE_COPY_SIGN_RR(XKIND, YKIND) \
 166   elemental real(XKIND) function ieee_copy_sign_a##XKIND##_a##YKIND(x, y); \
 167     real(XKIND), intent(in) :: x; \
 168     real(YKIND), intent(in) :: y; \
 169   end function ieee_copy_sign_a##XKIND##_a##YKIND;
 170   interface ieee_copy_sign
 171     SPECIFICS_RR(IEEE_COPY_SIGN_RR)
 172   end interface ieee_copy_sign
 173   PRIVATE_RR(IEEE_COPY_SIGN)
 174 #undef IEEE_COPY_SIGN_RR
 175
 176 #define IEEE_FMA_R(AKIND) \
 177   elemental real(AKIND) function ieee_fma_a##AKIND(a, b, c); \
 178     real(AKIND), intent(in) :: a, b, c; \
 179   end function ieee_fma_a##AKIND;
 180   interface ieee_fma
 181     SPECIFICS_R(IEEE_FMA_R)
 182   end interface ieee_fma
 183   PRIVATE_R(IEEE_FMA)
 184 #undef IEEE_FMA_R
 185
 186 #define IEEE_GET_ROUNDING_MODE_I(RKIND) \
 187   subroutine ieee_get_rounding_mode_i##RKIND(round_value, radix); \
 188     import ieee_round_type; \
 189     type(ieee_round_type), intent(out) :: round_value; \
 190     integer(RKIND), intent(in) :: radix; \
 191   end subroutine ieee_get_rounding_mode_i##RKIND;
 192   interface ieee_get_rounding_mode
 193     subroutine ieee_get_rounding_mode(round_value)
 194       import ieee_round_type
 195       type(ieee_round_type), intent(out) :: round_value
 196     end subroutine ieee_get_rounding_mode
 197     SPECIFICS_I(IEEE_GET_ROUNDING_MODE_I)
 198   end interface ieee_get_rounding_mode
 199   PRIVATE_I(IEEE_GET_ROUNDING_MODE)
 200 #undef IEEE_GET_ROUNDING_MODE_I
 201
 202 #define IEEE_GET_UNDERFLOW_MODE_L(GKIND) \
 203   subroutine ieee_get_underflow_mode_l##GKIND(gradual); \
 204     logical(GKIND), intent(out) :: gradual; \
 205   end subroutine ieee_get_underflow_mode_l##GKIND;
 206   interface ieee_get_underflow_mode
 207     SPECIFICS_L(IEEE_GET_UNDERFLOW_MODE_L)
 208   end interface ieee_get_underflow_mode
 209   PRIVATE_L(IEEE_GET_UNDERFLOW_MODE)
 210 #undef IEEE_GET_UNDERFLOW_MODE_L
 211
 212 ! When kind argument is present, kind(result) is value(kind), not kind(kind).
 213 ! That is not known here, so return integer(16).
 214 #define IEEE_INT_R(AKIND) \
 215   elemental integer function ieee_int_a##AKIND(a, round); \
 216     import ieee_round_type; \
 217     real(AKIND), intent(in) :: a; \
 218     type(ieee_round_type), intent(in) :: round; \
 219   end function ieee_int_a##AKIND;
 220 #define IEEE_INT_RI(AKIND, KKIND) \
 221   elemental integer(16) function ieee_int_a##AKIND##_i##KKIND(a, round, kind); \
 222     import ieee_round_type; \
 223     real(AKIND), intent(in) :: a; \
 224     type(ieee_round_type), intent(in) :: round; \
 225     integer(KKIND), intent(in) :: kind; \
 226   end function ieee_int_a##AKIND##_i##KKIND;
 227   interface ieee_int
 228     SPECIFICS_R(IEEE_INT_R)
 229     SPECIFICS_RI(IEEE_INT_RI)
 230   end interface ieee_int
 231   PRIVATE_R(IEEE_INT)
 232   PRIVATE_RI(IEEE_INT)
 233 #undef IEEE_INT_R
 234 #undef IEEE_INT_RI
 235
 236 #define IEEE_IS_FINITE_R(XKIND) \
 237   elemental logical function ieee_is_finite_a##XKIND(x); \
 238     real(XKIND), intent(in) :: x; \
 239   end function ieee_is_finite_a##XKIND;
 240   interface ieee_is_finite
 241     SPECIFICS_R(IEEE_IS_FINITE_R)
 242   end interface ieee_is_finite
 243   PRIVATE_R(IEEE_IS_FINITE)
 244 #undef IEEE_IS_FINITE_R
 245
 246 #define IEEE_LOGB_R(XKIND) \
 247   elemental real(XKIND) function ieee_logb_a##XKIND(x); \
 248     real(XKIND), intent(in) :: x; \
 249   end function ieee_logb_a##XKIND;
 250   interface ieee_logb
 251     SPECIFICS_R(IEEE_LOGB_R)
 252   end interface ieee_logb
 253   PRIVATE_R(IEEE_LOGB)
 254 #undef IEEE_LOGB_R
 255
 256 #define IEEE_MAX_NUM_R(XKIND) \
 257   elemental real(XKIND) function ieee_max_num_a##XKIND(x, y); \
 258     real(XKIND), intent(in) :: x, y; \
 259   end function ieee_max_num_a##XKIND;
 260   interface ieee_max_num
 261     SPECIFICS_R(IEEE_MAX_NUM_R)
 262   end interface ieee_max_num
 263   PRIVATE_R(IEEE_MAX_NUM)
 264 #undef IEEE_MAX_NUM_R
 265
 266 #define IEEE_MAX_NUM_MAG_R(XKIND) \
 267   elemental real(XKIND) function ieee_max_num_mag_a##XKIND(x, y); \
 268     real(XKIND), intent(in) :: x, y; \
 269   end function ieee_max_num_mag_a##XKIND;
 270   interface ieee_max_num_mag
 271     SPECIFICS_R(IEEE_MAX_NUM_MAG_R)
 272   end interface ieee_max_num_mag
 273   PRIVATE_R(IEEE_MAX_NUM_MAG)
 274 #undef IEEE_MAX_NUM_MAG_R
 275
 276 #define IEEE_MIN_NUM_R(XKIND) \
 277   elemental real(XKIND) function ieee_min_num_a##XKIND(x, y); \
 278     real(XKIND), intent(in) :: x, y; \
 279   end function ieee_min_num_a##XKIND;
 280   interface ieee_min_num
 281     SPECIFICS_R(IEEE_MIN_NUM_R)
 282   end interface ieee_min_num
 283   PRIVATE_R(IEEE_MIN_NUM)
 284 #undef IEEE_MIN_NUM_R
 285
 286 #define IEEE_MIN_NUM_MAG_R(XKIND) \
 287   elemental real(XKIND) function ieee_min_num_mag_a##XKIND(x, y); \
 288     real(XKIND), intent(in) :: x, y; \
 289   end function ieee_min_num_mag_a##XKIND;
 290   interface ieee_min_num_mag
 291     SPECIFICS_R(IEEE_MIN_NUM_MAG_R)
 292   end interface ieee_min_num_mag
 293   PRIVATE_R(IEEE_MIN_NUM_MAG)
 294 #undef IEEE_MIN_NUM_MAG_R
 295
 296 #define IEEE_QUIET_EQ_R(AKIND) \
 297   elemental logical function ieee_quiet_eq_a##AKIND(a, b); \
 298     real(AKIND), intent(in) :: a, b; \
 299   end function ieee_quiet_eq_a##AKIND;
 300   interface ieee_quiet_eq
 301     SPECIFICS_R(IEEE_QUIET_EQ_R)
 302   end interface ieee_quiet_eq
 303   PRIVATE_R(IEEE_QUIET_EQ)
 304 #undef IEEE_QUIET_EQ_R
 305
 306 #define IEEE_QUIET_GE_R(AKIND) \
 307   elemental logical function ieee_quiet_ge_a##AKIND(a, b); \
 308     real(AKIND), intent(in) :: a, b; \
 309   end function ieee_quiet_ge_a##AKIND;
 310   interface ieee_quiet_ge
 311     SPECIFICS_R(IEEE_QUIET_GE_R)
 312   end interface ieee_quiet_ge
 313   PRIVATE_R(IEEE_QUIET_GE)
 314 #undef IEEE_QUIET_GE_R
 315
 316 #define IEEE_QUIET_GT_R(AKIND) \
 317   elemental logical function ieee_quiet_gt_a##AKIND(a, b); \
 318     real(AKIND), intent(in) :: a, b; \
 319   end function ieee_quiet_gt_a##AKIND;
 320   interface ieee_quiet_gt
 321     SPECIFICS_R(IEEE_QUIET_GT_R)
 322   end interface ieee_quiet_gt
 323   PRIVATE_R(IEEE_QUIET_GT)
 324 #undef IEEE_QUIET_GT_R
 325
 326 #define IEEE_QUIET_LE_R(AKIND) \
 327   elemental logical function ieee_quiet_le_a##AKIND(a, b); \
 328     real(AKIND), intent(in) :: a, b; \
 329   end function ieee_quiet_le_a##AKIND;
 330   interface ieee_quiet_le
 331     SPECIFICS_R(IEEE_QUIET_LE_R)
 332   end interface ieee_quiet_le
 333   PRIVATE_R(IEEE_QUIET_LE)
 334 #undef IEEE_QUIET_LE_R
 335
 336 #define IEEE_QUIET_LT_R(AKIND) \
 337   elemental logical function ieee_quiet_lt_a##AKIND(a, b); \
 338     real(AKIND), intent(in) :: a, b; \
 339   end function ieee_quiet_lt_a##AKIND;
 340   interface ieee_quiet_lt
 341     SPECIFICS_R(IEEE_QUIET_LT_R)
 342   end interface ieee_quiet_lt
 343   PRIVATE_R(IEEE_QUIET_LT)
 344 #undef IEEE_QUIET_LT_R
 345
 346 #define IEEE_QUIET_NE_R(AKIND) \
 347   elemental logical function ieee_quiet_ne_a##AKIND(a, b); \
 348     real(AKIND), intent(in) :: a, b; \
 349   end function ieee_quiet_ne_a##AKIND;
 350   interface ieee_quiet_ne
 351     SPECIFICS_R(IEEE_QUIET_NE_R)
 352   end interface ieee_quiet_ne
 353   PRIVATE_R(IEEE_QUIET_NE)
 354 #undef IEEE_QUIET_NE_R
 355
 356 ! When kind argument is present, kind(result) is value(kind), not kind(kind).
 357 ! That is not known here, so return real(16).
 358 #define IEEE_REAL_I(AKIND) \
 359   elemental real function ieee_real_i##AKIND(a); \
 360     integer(AKIND), intent(in) :: a; \
 361   end function ieee_real_i##AKIND;
 362 #define IEEE_REAL_R(AKIND) \
 363   elemental real function ieee_real_a##AKIND(a); \
 364     real(AKIND), intent(in) :: a; \
 365   end function ieee_real_a##AKIND;
 366 #define IEEE_REAL_II(AKIND, KKIND) \
 367   elemental real(16) function ieee_real_i##AKIND##_i##KKIND(a, kind); \
 368     integer(AKIND), intent(in) :: a; \
 369     integer(KKIND), intent(in) :: kind; \
 370   end function ieee_real_i##AKIND##_i##KKIND;
 371 #define IEEE_REAL_RI(AKIND, KKIND) \
 372   elemental real(16) function ieee_real_a##AKIND##_i##KKIND(a, kind); \
 373     real(AKIND), intent(in) :: a; \
 374     integer(KKIND), intent(in) :: kind; \
 375   end function ieee_real_a##AKIND##_i##KKIND;
 376   interface ieee_real
 377     SPECIFICS_I(IEEE_REAL_I)
 378     SPECIFICS_R(IEEE_REAL_R)
 379     SPECIFICS_II(IEEE_REAL_II)
 380     SPECIFICS_RI(IEEE_REAL_RI)
 381   end interface ieee_real
 382   PRIVATE_I(IEEE_REAL)
 383   PRIVATE_R(IEEE_REAL)
 384   PRIVATE_II(IEEE_REAL)
 385   PRIVATE_RI(IEEE_REAL)
 386 #undef IEEE_REAL_I
 387 #undef IEEE_REAL_R
 388 #undef IEEE_REAL_II
 389 #undef IEEE_REAL_RI
 390
 391 #define IEEE_REM_RR(XKIND, YKIND) \
 392   elemental real(XKIND) function ieee_rem_a##XKIND##_a##YKIND(x, y); \
 393     real(XKIND), intent(in) :: x; \
 394     real(YKIND), intent(in) :: y; \
 395   end function ieee_rem_a##XKIND##_a##YKIND;
 396   interface ieee_rem
 397     SPECIFICS_RR(IEEE_REM_RR)
 398   end interface ieee_rem
 399   PRIVATE_RR(IEEE_REM)
 400 #undef IEEE_REM_RR
 401
 402 #define IEEE_RINT_R(XKIND) \
 403   elemental real(XKIND) function ieee_rint_a##XKIND(x, round); \
 404     import ieee_round_type; \
 405     real(XKIND), intent(in) :: x; \
 406     type(ieee_round_type), optional, intent(in) :: round; \
 407   end function ieee_rint_a##XKIND;
 408   interface ieee_rint
 409     SPECIFICS_R(IEEE_RINT_R)
 410   end interface ieee_rint
 411   PRIVATE_R(IEEE_RINT)
 412 #undef IEEE_RINT_R
 413
 414 #define IEEE_SET_ROUNDING_MODE_I(RKIND) \
 415   subroutine ieee_set_rounding_mode_i##RKIND(round_value, radix); \
 416     import ieee_round_type; \
 417     type(ieee_round_type), intent(in) :: round_value; \
 418     integer(RKIND), intent(in) :: radix; \
 419   end subroutine ieee_set_rounding_mode_i##RKIND;
 420   interface ieee_set_rounding_mode
 421     subroutine ieee_set_rounding_mode(round_value)
 422       import ieee_round_type
 423       type(ieee_round_type), intent(in) :: round_value
 424     end subroutine ieee_set_rounding_mode
 425     SPECIFICS_I(IEEE_SET_ROUNDING_MODE_I)
 426   end interface ieee_set_rounding_mode
 427   PRIVATE_I(IEEE_SET_ROUNDING_MODE)
 428 #undef IEEE_SET_ROUNDING_MODE_I
 429
 430 #define IEEE_SET_UNDERFLOW_MODE_L(GKIND) \
 431   subroutine ieee_set_underflow_mode_l##GKIND(gradual); \
 432     logical(GKIND), intent(in) :: gradual; \
 433   end subroutine ieee_set_underflow_mode_l##GKIND;
 434   interface ieee_set_underflow_mode
 435     SPECIFICS_L(IEEE_SET_UNDERFLOW_MODE_L)
 436   end interface ieee_set_underflow_mode
 437   PRIVATE_L(IEEE_SET_UNDERFLOW_MODE)
 438 #undef IEEE_SET_UNDERFLOW_MODE_L
 439
 440 #define IEEE_SIGNALING_EQ_R(AKIND) \
 441   elemental logical function ieee_signaling_eq_a##AKIND(a, b); \
 442     real(AKIND), intent(in) :: a, b; \
 443   end function ieee_signaling_eq_a##AKIND;
 444   interface ieee_signaling_eq
 445     SPECIFICS_R(IEEE_SIGNALING_EQ_R)
 446   end interface ieee_signaling_eq
 447   PRIVATE_R(IEEE_SIGNALING_EQ)
 448 #undef IEEE_SIGNALING_EQ_R
 449
 450 #define IEEE_SIGNALING_GE_R(AKIND) \
 451   elemental logical function ieee_signaling_ge_a##AKIND(a, b); \
 452     real(AKIND), intent(in) :: a, b; \
 453   end function ieee_signaling_ge_a##AKIND;
 454   interface ieee_signaling_ge
 455     SPECIFICS_R(IEEE_SIGNALING_GE_R)
 456   end interface ieee_signaling_ge
 457   PRIVATE_R(IEEE_SIGNALING_GE)
 458 #undef IEEE_SIGNALING_GE_R
 459
 460 #define IEEE_SIGNALING_GT_R(AKIND) \
 461   elemental logical function ieee_signaling_gt_a##AKIND(a, b); \
 462     real(AKIND), intent(in) :: a, b; \
 463   end function ieee_signaling_gt_a##AKIND;
 464   interface ieee_signaling_gt
 465     SPECIFICS_R(IEEE_SIGNALING_GT_R)
 466   end interface ieee_signaling_gt
 467   PRIVATE_R(IEEE_SIGNALING_GT)
 468 #undef IEEE_SIGNALING_GT_R
 469
 470 #define IEEE_SIGNALING_LE_R(AKIND) \
 471   elemental logical function ieee_signaling_le_a##AKIND(a, b); \
 472     real(AKIND), intent(in) :: a, b; \
 473   end function ieee_signaling_le_a##AKIND;
 474   interface ieee_signaling_le
 475     SPECIFICS_R(IEEE_SIGNALING_LE_R)
 476   end interface ieee_signaling_le
 477   PRIVATE_R(IEEE_SIGNALING_LE)
 478 #undef IEEE_SIGNALING_LE_R
 479
 480 #define IEEE_SIGNALING_LT_R(AKIND) \
 481   elemental logical function ieee_signaling_lt_a##AKIND(a, b); \
 482     real(AKIND), intent(in) :: a, b; \
 483   end function ieee_signaling_lt_a##AKIND;
 484   interface ieee_signaling_lt
 485     SPECIFICS_R(IEEE_SIGNALING_LT_R)
 486   end interface ieee_signaling_lt
 487   PRIVATE_R(IEEE_SIGNALING_LT)
 488 #undef IEEE_SIGNALING_LT_R
 489
 490 #define IEEE_SIGNALING_NE_R(AKIND) \
 491   elemental logical function ieee_signaling_ne_a##AKIND(a, b); \
 492     real(AKIND), intent(in) :: a, b; \
 493   end function ieee_signaling_ne_a##AKIND;
 494   interface ieee_signaling_ne
 495     SPECIFICS_R(IEEE_SIGNALING_NE_R)
 496   end interface ieee_signaling_ne
 497   PRIVATE_R(IEEE_SIGNALING_NE)
 498 #undef IEEE_SIGNALING_NE_R
 499
 500 #define IEEE_SIGNBIT_R(XKIND) \
 501   elemental logical function ieee_signbit_a##XKIND(x); \
 502     real(XKIND), intent(in) :: x; \
 503   end function ieee_signbit_a##XKIND;
 504   interface ieee_signbit
 505     SPECIFICS_R(IEEE_SIGNBIT_R)
 506   end interface ieee_signbit
 507   PRIVATE_R(IEEE_SIGNBIT)
 508 #undef IEEE_SIGNBIT_R
 509
 510 #define IEEE_SUPPORT_ROUNDING_R(XKIND) \
 511   pure logical function ieee_support_rounding_a##XKIND(round_value, x); \
 512     import ieee_round_type; \
 513     type(ieee_round_type), intent(in) :: round_value; \
 514     real(XKIND), intent(in) :: x(..); \
 515   end function ieee_support_rounding_a##XKIND;
 516   interface ieee_support_rounding
 517     pure logical function ieee_support_rounding(round_value)
 518       import ieee_round_type
 519       type(ieee_round_type), intent(in) :: round_value
 520     end function ieee_support_rounding
 521     SPECIFICS_R(IEEE_SUPPORT_ROUNDING_R)
 522   end interface ieee_support_rounding
 523   PRIVATE_R(IEEE_SUPPORT_ROUNDING)
 524 #undef IEEE_SUPPORT_ROUNDING_R
 525
 526 #define IEEE_UNORDERED_RR(XKIND, YKIND) \
 527  elemental logical function ieee_unordered_a##XKIND##_a##YKIND(x, y); \
 528     real(XKIND), intent(in) :: x; \
 529     real(YKIND), intent(in) :: y; \
 530   end function ieee_unordered_a##XKIND##_a##YKIND;
 531   interface ieee_unordered
 532     SPECIFICS_RR(IEEE_UNORDERED_RR)
 533   end interface ieee_unordered
 534   PRIVATE_RR(IEEE_UNORDERED)
 535 #undef IEEE_UNORDERED_RR
 536
 537 #define IEEE_VALUE_R(XKIND) \
 538   elemental real(XKIND) function ieee_value_a##XKIND(x, class); \
 539     import ieee_class_type; \
 540     real(XKIND), intent(in) :: x; \
 541     type(ieee_class_type), intent(in) :: class; \
 542   end function ieee_value_a##XKIND;
 543   interface ieee_value
 544     SPECIFICS_R(IEEE_VALUE_R)
 545   end interface ieee_value
 546   PRIVATE_R(IEEE_VALUE)
 547 #undef IEEE_VALUE_R
 548
 549 end module ieee_arithmetic