* config/aarch64/aarch64-builtins.c: Builtins
for rsqrt and rsqrtf.
* config/aarch64/aarch64-protos.h: Declare.
* config/aarch64/aarch64-simd.md: Matching expressions
for frsqrte and frsqrts.
* config/aarch64/aarch64.c: New functions. Emit rsqrt
estimation code in fast math mode.
* config/aarch64/aarch64.md: Added enum entries.
* config/aarch64/aarch64.opt: Added options -mrecip and
-mlow-precision-recip-sqrt.
* testsuite/gcc.target/aarch64/rsqrt-asm-check.c: Assembly scans
for frsqrte and frsqrts
* testsuite/gcc.target/aarch64/rsqrt.c: Functional tests
for rsqrt.
Signed-off-by: Philipp Tomsich <philipp.toms...@theobroma-systems.com>
---
gcc/ChangeLog | 17 ++++
gcc/config/aarch64/aarch64-builtins.c | 103 ++++++++++++++++++++
gcc/config/aarch64/aarch64-protos.h | 2 +
gcc/config/aarch64/aarch64-simd.md | 27 ++++++
gcc/config/aarch64/aarch64.c | 58 +++++++++++
gcc/config/aarch64/aarch64.md | 3 +
gcc/config/aarch64/aarch64.opt | 8 ++
gcc/doc/invoke.texi | 20 ++++
gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c | 63 ++++++++++++
gcc/testsuite/gcc.target/aarch64/rsqrt.c | 107 +++++++++++++++++++++
10 files changed, 408 insertions(+)
create mode 100644 gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
create mode 100644 gcc/testsuite/gcc.target/aarch64/rsqrt.c
diff --git a/gcc/ChangeLog b/gcc/ChangeLog
index 3432adb..f4b7407 100644
--- a/gcc/ChangeLog
+++ b/gcc/ChangeLog
@@ -1,3 +1,20 @@
+2015-07-14 Benedikt Huber <benedikt.hu...@theobroma-systems.com>
+ Philipp Tomsich <philipp.toms...@theobroma-systems.com>
+
+ * config/aarch64/aarch64-builtins.c: Builtins for rsqrt and
+ rsqrtf.
+ * config/aarch64/aarch64-protos.h: Declare.
+ * config/aarch64/aarch64-simd.md: Matching expressions for
+ frsqrte and frsqrts.
+ * config/aarch64/aarch64.c: New functions. Emit rsqrt
+ estimation code in fast math mode.
+ * config/aarch64/aarch64.md: Added enum entries.
+ * config/aarch64/aarch64.opt: Added options -mrecip and
+ -mlow-precision-recip-sqrt.
+ * testsuite/gcc.target/aarch64/rsqrt-asm-check.c: Assembly scans
+ for frsqrte and frsqrts
+ * testsuite/gcc.target/aarch64/rsqrt.c: Functional tests for rsqrt.
+
2015-07-08 Jiong Wang <jiong.w...@arm.com>
* config/aarch64/aarch64.c (aarch64_unspec_may_trap_p): New function.
diff --git a/gcc/config/aarch64/aarch64-builtins.c
b/gcc/config/aarch64/aarch64-builtins.c
index b6c89b9..adcea07 100644
--- a/gcc/config/aarch64/aarch64-builtins.c
+++ b/gcc/config/aarch64/aarch64-builtins.c
@@ -335,6 +335,11 @@ enum aarch64_builtins
AARCH64_BUILTIN_GET_FPSR,
AARCH64_BUILTIN_SET_FPSR,
+ AARCH64_BUILTIN_RSQRT_DF,
+ AARCH64_BUILTIN_RSQRT_SF,
+ AARCH64_BUILTIN_RSQRT_V2DF,
+ AARCH64_BUILTIN_RSQRT_V2SF,
+ AARCH64_BUILTIN_RSQRT_V4SF,
AARCH64_SIMD_BUILTIN_BASE,
AARCH64_SIMD_BUILTIN_LANE_CHECK,
#include "aarch64-simd-builtins.def"
@@ -824,6 +829,42 @@ aarch64_init_crc32_builtins ()
}
void
+aarch64_add_builtin_rsqrt (void)
+{
+ tree fndecl = NULL;
+ tree ftype = NULL;
+
+ tree V2SF_type_node = build_vector_type (float_type_node, 2);
+ tree V2DF_type_node = build_vector_type (double_type_node, 2);
+ tree V4SF_type_node = build_vector_type (float_type_node, 4);
+
+ ftype = build_function_type_list (double_type_node, double_type_node,
NULL_TREE);
+ fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_df",
+ ftype, AARCH64_BUILTIN_RSQRT_DF, BUILT_IN_MD, NULL, NULL_TREE);
+ aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_DF] = fndecl;
+
+ ftype = build_function_type_list (float_type_node, float_type_node,
NULL_TREE);
+ fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_sf",
+ ftype, AARCH64_BUILTIN_RSQRT_SF, BUILT_IN_MD, NULL, NULL_TREE);
+ aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_SF] = fndecl;
+
+ ftype = build_function_type_list (V2DF_type_node, V2DF_type_node, NULL_TREE);
+ fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v2df",
+ ftype, AARCH64_BUILTIN_RSQRT_V2DF, BUILT_IN_MD, NULL, NULL_TREE);
+ aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2DF] = fndecl;
+
+ ftype = build_function_type_list (V2SF_type_node, V2SF_type_node, NULL_TREE);
+ fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v2sf",
+ ftype, AARCH64_BUILTIN_RSQRT_V2SF, BUILT_IN_MD, NULL, NULL_TREE);
+ aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2SF] = fndecl;
+
+ ftype = build_function_type_list (V4SF_type_node, V4SF_type_node, NULL_TREE);
+ fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v4sf",
+ ftype, AARCH64_BUILTIN_RSQRT_V4SF, BUILT_IN_MD, NULL, NULL_TREE);
+ aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V4SF] = fndecl;
+}
+
+void
aarch64_init_builtins (void)
{
tree ftype_set_fpr
@@ -848,6 +889,7 @@ aarch64_init_builtins (void)
aarch64_init_simd_builtins ();
if (TARGET_CRC32)
aarch64_init_crc32_builtins ();
+ aarch64_add_builtin_rsqrt ();
}
tree
@@ -1092,6 +1134,38 @@ aarch64_crc32_expand_builtin (int fcode, tree exp, rtx
target)
return target;
}
+static rtx
+aarch64_expand_builtin_rsqrt (int fcode, tree exp, rtx target)
+{
+ rtx pat;
+ tree arg0 = CALL_EXPR_ARG (exp, 0);
+ rtx op0 = expand_normal (arg0);
+
+ enum insn_code c = CODE_FOR_rsqrt_df;
+
+ switch (fcode)
+ {
+ case AARCH64_BUILTIN_RSQRT_DF:
+ c = CODE_FOR_rsqrt_df; break;
+ case AARCH64_BUILTIN_RSQRT_SF:
+ c = CODE_FOR_rsqrt_sf; break;
+ case AARCH64_BUILTIN_RSQRT_V2DF:
+ c = CODE_FOR_rsqrt_v2df; break;
+ case AARCH64_BUILTIN_RSQRT_V2SF:
+ c = CODE_FOR_rsqrt_v2sf; break;
+ case AARCH64_BUILTIN_RSQRT_V4SF:
+ c = CODE_FOR_rsqrt_v4sf; break;
+ }
+
+ if (!target)
+ target = gen_reg_rtx (GET_MODE (op0));
+
+ pat = GEN_FCN (c) (target, op0);
+ emit_insn (pat);
+
+ return target;
+}
+
/* Expand an expression EXP that calls a built-in function,
with result going to TARGET if that's convenient. */
rtx
@@ -1139,6 +1213,13 @@ aarch64_expand_builtin (tree exp,
else if (fcode >= AARCH64_CRC32_BUILTIN_BASE && fcode <=
AARCH64_CRC32_BUILTIN_MAX)
return aarch64_crc32_expand_builtin (fcode, exp, target);
+ if (fcode == AARCH64_BUILTIN_RSQRT_DF ||
+ fcode == AARCH64_BUILTIN_RSQRT_SF ||
+ fcode == AARCH64_BUILTIN_RSQRT_V2DF ||
+ fcode == AARCH64_BUILTIN_RSQRT_V2SF ||
+ fcode == AARCH64_BUILTIN_RSQRT_V4SF)
+ return aarch64_expand_builtin_rsqrt (fcode, exp, target);
+
gcc_unreachable ();
}
@@ -1296,6 +1377,28 @@ aarch64_builtin_vectorized_function (tree fndecl, tree
type_out, tree type_in)
return NULL_TREE;
}
+tree
+aarch64_builtin_rsqrt (unsigned int fn, bool md_fn)
+{
+ if (md_fn)
+ {
+ if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv2df)
+ return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2DF];
+ if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv2sf)
+ return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2SF];
+ if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv4sf)
+ return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V4SF];
+ }
+ else
+ {
+ if (fn == BUILT_IN_SQRT)
+ return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_DF];
+ if (fn == BUILT_IN_SQRTF)
+ return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_SF];
+ }
+ return NULL_TREE;
+}
+
#undef VAR1
#define VAR1(T, N, MAP, A) \
case AARCH64_SIMD_BUILTIN_##T##_##N##A:
diff --git a/gcc/config/aarch64/aarch64-protos.h
b/gcc/config/aarch64/aarch64-protos.h
index 4062c27..8b8a389 100644
--- a/gcc/config/aarch64/aarch64-protos.h
+++ b/gcc/config/aarch64/aarch64-protos.h
@@ -321,6 +321,8 @@ void aarch64_print_operand (FILE *, rtx, char);
void aarch64_print_operand_address (FILE *, rtx);
void aarch64_emit_call_insn (rtx);
+void aarch64_emit_swrsqrt (rtx, rtx);
+
/* Initialize builtins for SIMD intrinsics. */
void init_aarch64_simd_builtins (void);
diff --git a/gcc/config/aarch64/aarch64-simd.md
b/gcc/config/aarch64/aarch64-simd.md
index b90f938..ac8e12d 100644
--- a/gcc/config/aarch64/aarch64-simd.md
+++ b/gcc/config/aarch64/aarch64-simd.md
@@ -353,6 +353,33 @@
[(set_attr "type" "neon_fp_mul_d_scalar_q")]
)
+(define_insn "*rsqrte_<mode>"
+ [(set (match_operand:VALLF 0 "register_operand" "=w")
+ (unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")]
+ UNSPEC_RSQRTE))]
+ "TARGET_SIMD"
+ "frsqrte\\t%<v>0<Vmtype>, %<v>1<Vmtype>"
+ [(set_attr "type" "neon_fp_rsqrte_<Vetype><q>")])
+
+(define_insn "*rsqrts_<mode>"
+ [(set (match_operand:VALLF 0 "register_operand" "=w")
+ (unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")
+ (match_operand:VALLF 2 "register_operand" "w")]
+ UNSPEC_RSQRTS))]
+ "TARGET_SIMD"
+ "frsqrts\\t%<v>0<Vmtype>, %<v>1<Vmtype>, %<v>2<Vmtype>"
+ [(set_attr "type" "neon_fp_rsqrts_<Vetype><q>")])
+
+(define_expand "rsqrt_<mode>"
+ [(set (match_operand:VALLF 0 "register_operand" "=w")
+ (unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")]
+ UNSPEC_RSQRT))]
+ "TARGET_SIMD"
+{
+ aarch64_emit_swrsqrt (operands[0], operands[1]);
+ DONE;
+})
+
(define_insn "*aarch64_mul3_elt_to_64v2df"
[(set (match_operand:DF 0 "register_operand" "=w")
(mult:DF
diff --git a/gcc/config/aarch64/aarch64.c b/gcc/config/aarch64/aarch64.c
index 6c13a078..2e53103 100644
--- a/gcc/config/aarch64/aarch64.c
+++ b/gcc/config/aarch64/aarch64.c
@@ -6961,6 +6961,61 @@ aarch64_memory_move_cost (machine_mode mode
ATTRIBUTE_UNUSED,
return aarch64_tune_params.memmov_cost;
}
+extern tree aarch64_builtin_rsqrt (unsigned int fn, bool md_fn);
+
+static tree
+aarch64_builtin_reciprocal (unsigned int fn,
+ bool md_fn,
+ bool)
+{
+ if (!flag_mrecip || !flag_finite_math_only ||
+ flag_trapping_math || !flag_unsafe_math_optimizations)
+ {
+ return NULL_TREE;
+ }
+
+ return aarch64_builtin_rsqrt (fn, md_fn);
+}
+
+void
+aarch64_emit_swrsqrt (rtx dst, rtx src)
+{
+ enum machine_mode mode = GET_MODE (src);
+ gcc_assert (
+ mode == SFmode || mode == V2SFmode || mode == V4SFmode ||
+ mode == DFmode || mode == V2DFmode);
+
+ rtx xsrc = gen_reg_rtx (mode);
+ emit_move_insn (xsrc, src);
+ rtx x0 = gen_reg_rtx (mode);
+ emit_set_insn (x0,
+ gen_rtx_UNSPEC (mode, gen_rtvec (1, xsrc), UNSPEC_RSQRTE));
+
+ bool double_mode = (mode == DFmode || mode == V2DFmode);
+
+ int iterations = 2;
+ if (double_mode)
+ iterations = 3;
+
+ if (flag_mrecip_low_precision_sqrt)
+ iterations--;
+
+ for (int i = 0; i < iterations; ++i)
+ {
+ rtx x1 = gen_reg_rtx (mode);
+ rtx x2 = gen_reg_rtx (mode);
+ rtx x3 = gen_reg_rtx (mode);
+ emit_set_insn (x2, gen_rtx_MULT (mode, x0, x0));
+ emit_set_insn (x3, gen_rtx_UNSPEC (
+ mode, gen_rtvec (2, xsrc, x2), UNSPEC_RSQRTS));
+ emit_set_insn (x1, gen_rtx_MULT (mode, x0, x3));
+ x0 = x1;
+ }
+
+ emit_move_insn (dst, x0);
+ return;
+}
+
/* Return the number of instructions that can be issued per cycle. */
static int
aarch64_sched_issue_rate (void)
@@ -12099,6 +12154,9 @@ aarch64_unspec_may_trap_p (const_rtx x, unsigned flags)
#undef TARGET_USE_BLOCKS_FOR_CONSTANT_P
#define TARGET_USE_BLOCKS_FOR_CONSTANT_P aarch64_use_blocks_for_constant_p
+#undef TARGET_BUILTIN_RECIPROCAL
+#define TARGET_BUILTIN_RECIPROCAL aarch64_builtin_reciprocal
+
#undef TARGET_VECTOR_MODE_SUPPORTED_P
#define TARGET_VECTOR_MODE_SUPPORTED_P aarch64_vector_mode_supported_p
diff --git a/gcc/config/aarch64/aarch64.md b/gcc/config/aarch64/aarch64.md
index 1e343fa..d7944b2 100644
--- a/gcc/config/aarch64/aarch64.md
+++ b/gcc/config/aarch64/aarch64.md
@@ -122,6 +122,9 @@
UNSPEC_VSTRUCTDUMMY
UNSPEC_SP_SET
UNSPEC_SP_TEST
+ UNSPEC_RSQRT
+ UNSPEC_RSQRTE
+ UNSPEC_RSQRTS
])
(define_c_enum "unspecv" [
diff --git a/gcc/config/aarch64/aarch64.opt b/gcc/config/aarch64/aarch64.opt
index 98ef9f6..303efa4 100644
--- a/gcc/config/aarch64/aarch64.opt
+++ b/gcc/config/aarch64/aarch64.opt
@@ -124,3 +124,11 @@ Enum(aarch64_abi) String(ilp32) Value(AARCH64_ABI_ILP32)
EnumValue
Enum(aarch64_abi) String(lp64) Value(AARCH64_ABI_LP64)
+
+mrecip
+Common Report Var(flag_mrecip) Optimization Init(1)
+Generate software reciprocal square root for better throughput. Default with
fast-math.
+
+mlow-precision-recip-sqrt
+Common Var(flag_mrecip_low_precision_sqrt) Optimization
+Run fewer approximation steps to reduce latency and precision.
diff --git a/gcc/doc/invoke.texi b/gcc/doc/invoke.texi
index b28e5d6..a0ab23d 100644
--- a/gcc/doc/invoke.texi
+++ b/gcc/doc/invoke.texi
@@ -515,6 +515,8 @@ Objective-C and Objective-C++ Dialects}.
-mtls-dialect=desc -mtls-dialect=traditional @gol
-mfix-cortex-a53-835769 -mno-fix-cortex-a53-835769 @gol
-mfix-cortex-a53-843419 -mno-fix-cortex-a53-843419 @gol
+-mrecip -no-mrecip @gol
+-mlow-precision-recip-sqrt -mno-low-precision-recip-sqrt@gol
-march=@var{name} -mcpu=@var{name} -mtune=@var{name}}
@emph{Adapteva Epiphany Options}
@@ -12426,6 +12428,24 @@ Enable or disable the workaround for the ARM
Cortex-A53 erratum number 843419.
This erratum workaround is made at link time and this will only pass the
corresponding flag to the linker.
+@item -mrecip
+@item -mno-recip
+@opindex mrecip
+@opindex mno-recip
+This option enables use of the
+reciprocal square root estimate instructions with additional
+Newton-Raphson steps to increase precision instead of doing a square root and
+divide for floating-point arguments.
+This is the default setting with @option{-ffast-math}.
+It can only be used together with @option{-ffast-math}.
+
+@item -mlow-precision-recip-sqrt
+@item -mno-low-precision-recip-sqrt
+@opindex -mlow-precision-recip-sqrt
+@opindex -mno-low-precision-recip-sqrt
+The square root estimate uses two steps instead of three for double-precision,
+and one step instead of two for single-precision. Thus reducing latency and
precision.
+
@item -march=@var{name}
@opindex march
Specify the name of the target architecture, optionally suffixed by one or
diff --git a/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
b/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
new file mode 100644
index 0000000..cd81d9e
--- /dev/null
+++ b/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
@@ -0,0 +1,63 @@
+/* { dg-do compile } */
+/* { dg-options "-O3 --save-temps -fverbose-asm -ffast-math" } */
+
+#include <math.h>
+
+#define sqrt_float __builtin_sqrtf
+#define sqrt_double __builtin_sqrt
+
+#define TESTTYPE(TYPE) \
+typedef struct { \
+ TYPE a; \
+ TYPE b; \
+ TYPE c; \
+ TYPE d; \
+} s4_##TYPE; \
+ \
+typedef struct { \
+ TYPE a; \
+ TYPE b; \
+} s2_##TYPE; \
+ \
+s4_##TYPE rsqrtv4_##TYPE (s4_##TYPE i) \
+{ \
+ s4_##TYPE o; \
+ o.a = 1.0 / sqrt_##TYPE (i.a); \
+ o.b = 1.0 / sqrt_##TYPE (i.b); \
+ o.c = 1.0 / sqrt_##TYPE (i.c); \
+ o.d = 1.0 / sqrt_##TYPE (i.d); \
+ return o; \
+} \
+ \
+s2_##TYPE rsqrtv2_##TYPE (s2_##TYPE i) \
+{ \
+ s2_##TYPE o; \
+ o.a = 1.0 / sqrt_##TYPE (i.a); \
+ o.b = 1.0 / sqrt_##TYPE (i.b); \
+ return o; \
+} \
+ \
+TYPE rsqrt_##TYPE (TYPE i) \
+{ \
+ return 1.0 / sqrt_##TYPE (i); \
+} \
+ \
+
+TESTTYPE(double)
+TESTTYPE(float)
+
+/* { dg-final { scan-assembler-times "frsqrte\\td\[0-9\]+, d\[0-9\]+" 1 } } */
+/* { dg-final { scan-assembler-times "frsqrts\\td\[0-9\]+, d\[0-9\]+,
d\[0-9\]+" 3 } } */
+
+/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.2d, v\[0-9\]+.2d" 3
} } */
+/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.2d, v\[0-9\]+.2d,
v\[0-9\]+.2d" 9 } } */
+
+
+/* { dg-final { scan-assembler-times "frsqrte\\ts\[0-9\]+, s\[0-9\]+" 1 } } */
+/* { dg-final { scan-assembler-times "frsqrts\\ts\[0-9\]+, s\[0-9\]+,
s\[0-9\]+" 2 } } */
+
+/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.4s, v\[0-9\]+.4s" 1
} } */
+/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.4s, v\[0-9\]+.4s,
v\[0-9\]+.4s" 2 } } */
+
+/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.2s, v\[0-9\]+.2s" 1
} } */
+/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.2s, v\[0-9\]+.2s,
v\[0-9\]+.2s" 2 } } */
diff --git a/gcc/testsuite/gcc.target/aarch64/rsqrt.c
b/gcc/testsuite/gcc.target/aarch64/rsqrt.c
new file mode 100644
index 0000000..8e2ae10
--- /dev/null
+++ b/gcc/testsuite/gcc.target/aarch64/rsqrt.c
@@ -0,0 +1,107 @@
+/* { dg-do run } */
+/* { dg-options "-O3 --save-temps -fverbose-asm -ffast-math" } */
+
+#include <math.h>
+#include <stdio.h>
+
+#include <float.h>
+
+#define PI 3.141592653589793
+#define SQRT2 1.4142135623730951
+
+#define PI_4 0.7853981633974483
+#define SQRT1_2 0.7071067811865475
+
+/* 2^25+1, float has 24 significand bits
+ * according to Single-precision floating-point format. */
+#define TESTA8_FLT 33554433
+/* 2^54+1, double has 53 significand bits
+ * according to Double-precision floating-point format. */
+#define TESTA8_DBL 18014398509481985
+
+#define SD(a, b) t_double ((#a), (a), (b));
+#define SF(a, b) t_float ((#a), (a), (b));
+
+#define EPSILON_double __DBL_EPSILON__
+#define EPSILON_float __FLT_EPSILON__
+#define ABS_double __builtin_fabs
+#define ABS_float __builtin_fabsf
+#define SQRT_double __builtin_sqrt
+#define SQRT_float __builtin_sqrtf
+
+extern void abort (void);
+
+#define TESTTYPE(TYPE) \
+TYPE rsqrt_##TYPE (TYPE a) \
+{ \
+ return 1.0/SQRT_##TYPE(a); \
+} \
+ \
+int equals_##TYPE (TYPE a, TYPE b) \
+{ \
+ return (a == b || \
+ (isnan (a) && isnan (b)) || \
+ (ABS_##TYPE (a - b) < EPSILON_##TYPE)); \
+} \
+ \
+void t_##TYPE (const char *s, TYPE a, TYPE result) \
+{ \
+ TYPE r = rsqrt_##TYPE (a); \
+ if (!equals_##TYPE (r, result)) \
+ { \
+ abort (); \
+ } \
+} \
+
+// printf ("Problem in %20s: %30.18A should be %30.18A\n", s, r, result); \
+
+TESTTYPE(double)
+TESTTYPE(float)
+
+int main ()
+{
+ SD( 1.0/256, 0X1.00000000000000P+4 );
+ SD( 1.0, 0X1.00000000000000P+0 );
+ SD( -1.0, NAN);
+ SD( 11.0, 0X1.34BF63D1568260P-2 );
+ SD( 0.0, INFINITY);
+ SD( INFINITY, 0X0.00000000000000P+0 );
+ SD( NAN, NAN);
+ SD( -NAN, -NAN);
+ SD( DBL_MAX, 0X1.00000000000010P-512);
+ SD( DBL_MIN, 0X1.00000000000000P+511);
+ SD( PI, 0X1.20DD750429B6D0P-1 );
+ SD( PI_4, 0X1.20DD750429B6D0P+0 );
+ SD( SQRT2, 0X1.AE89F995AD3AE0P-1 );
+ SD( SQRT1_2, 0X1.306FE0A31B7150P+0 );
+ SD( -PI, NAN);
+ SD( -SQRT2, NAN);
+ SD( TESTA8_DBL, 0X1.00000000000000P-27 );
+
+ SF( 1.0/256, 0X1.00000000000000P+4 );
+ SF( 1.0, 0X1.00000000000000P+0 );
+ SF( -1.0, NAN);
+ SF( 11.0, 0X1.34BF6400000000P-2 );
+ SF( 0.0, INFINITY);
+ SF( INFINITY, 0X0.00000000000000P+0 );
+ SF( NAN, NAN);
+ SF( -NAN, -NAN);
+ SF( FLT_MAX, 0X1.00000200000000P-64 );
+ SF( FLT_MIN, 0X1.00000000000000P+63 );
+ SF( PI, 0X1.20DD7400000000P-1 );
+ SF( PI_4, 0X1.20DD7400000000P+0 );
+ SF( SQRT2, 0X1.AE89FA00000000P-1 );
+ SF( SQRT1_2, 0X1.306FE000000000P+0 );
+ SF( -PI, NAN);
+ SF( -SQRT2, NAN);
+ SF( TESTA8_FLT, 0X1.6A09E600000000P-13 );
+
+// With -ffast-math these return positive INF.
+// SD( -0.0, -INFINITY);
+// SF( -0.0, -INFINITY);
+// The reason here is that -ffast-math flushes to zero.
+// SD(DBL_MIN/256, 0X1.00000000000000P+515);
+// SF(FLT_MIN/256, 0X1.00000000000000P+67 );
+
+ return 0;
+}
--
1.9.1
