@@ -1923,3 +1923,144 @@ func.func @complex_sign_with_fmf(%arg: complex<f32>) -> complex<f32> {
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// CHECK: %[[SIGN:.*]] = complex.create %[[REAL_SIGN]], %[[IMAG_SIGN]] : complex<f32>
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// CHECK: %[[RESULT:.*]] = arith.select %[[IS_ZERO]], %[[ARG]], %[[SIGN]] : complex<f32>
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// CHECK: return %[[RESULT]] : complex<f32>
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+
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+ // -----
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+
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+ // CHECK-LABEL: func @complex_tan_with_fmf
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+ // CHECK-SAME: %[[ARG:.*]]: complex<f32>
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+ func.func @complex_tan_with_fmf (%arg: complex <f32 >) -> complex <f32 > {
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+ %tan = complex.tan %arg fastmath <nnan ,contract > : complex <f32 >
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+ return %tan : complex <f32 >
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+ }
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+
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+ // CHECK-DAG: %[[REAL:.*]] = complex.re %[[ARG]]
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+ // CHECK-DAG: %[[IMAG:.*]] = complex.im %[[ARG]]
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+ // CHECK-DAG: %[[HALF:.*]] = arith.constant 5.000000e-01 : f32
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+ // CHECK-DAG: %[[EXP:.*]] = math.exp %[[IMAG]] fastmath<nnan,contract> : f32
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+ // CHECK-DAG: %[[HALF_EXP:.*]] = arith.mulf %[[HALF]], %[[EXP]] fastmath<nnan,contract>
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+ // CHECK-DAG: %[[HALF_REXP:.*]] = arith.divf %[[HALF]], %[[EXP]] fastmath<nnan,contract>
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+ // CHECK-DAG: %[[SIN:.*]] = math.sin %[[REAL]] fastmath<nnan,contract> : f32
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+ // CHECK-DAG: %[[COS:.*]] = math.cos %[[REAL]] fastmath<nnan,contract> : f32
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+ // CHECK-DAG: %[[EXP_SUM:.*]] = arith.addf %[[HALF_REXP]], %[[HALF_EXP]] fastmath<nnan,contract>
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+ // CHECK-DAG: %[[COS_REAL:.*]] = arith.mulf %[[EXP_SUM]], %[[COS]] fastmath<nnan,contract>
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+ // CHECK-DAG: %[[EXP_DIFF:.*]] = arith.subf %[[HALF_REXP]], %[[HALF_EXP]] fastmath<nnan,contract>
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+ // CHECK-DAG: %[[COS_IMAG:.*]] = arith.mulf %[[EXP_DIFF]], %[[SIN]] fastmath<nnan,contract>
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+ // CHECK-DAG: %[[COS_COMP:.*]] = complex.create %[[COS_REAL]], %[[COS_IMAG]] : complex<f32>
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+
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+ // CHECK-DAG: %[[REAL:.*]] = complex.re %[[ARG]]
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+ // CHECK-DAG: %[[IMAG:.*]] = complex.im %[[ARG]]
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+ // CHECK-DAG: %[[HALF:.*]] = arith.constant 5.000000e-01 : f32
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+ // CHECK-DAG: %[[EXP:.*]] = math.exp %[[IMAG]] fastmath<nnan,contract> : f32
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+ // CHECK-DAG: %[[HALF_EXP:.*]] = arith.mulf %[[HALF]], %[[EXP]] fastmath<nnan,contract>
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+ // CHECK-DAG: %[[HALF_REXP:.*]] = arith.divf %[[HALF]], %[[EXP]] fastmath<nnan,contract>
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+ // CHECK-DAG: %[[SIN:.*]] = math.sin %[[REAL]] fastmath<nnan,contract> : f32
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+ // CHECK-DAG: %[[COS:.*]] = math.cos %[[REAL]] fastmath<nnan,contract> : f32
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+ // CHECK-DAG: %[[EXP_SUM:.*]] = arith.addf %[[HALF_EXP]], %[[HALF_REXP]] fastmath<nnan,contract>
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+ // CHECK-DAG: %[[SIN_REAL:.*]] = arith.mulf %[[EXP_SUM]], %[[SIN]] fastmath<nnan,contract>
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+ // CHECK-DAG: %[[EXP_DIFF:.*]] = arith.subf %[[HALF_EXP]], %[[HALF_REXP]] fastmath<nnan,contract>
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+ // CHECK-DAG: %[[SIN_IMAG:.*]] = arith.mulf %[[EXP_DIFF]], %[[COS]] fastmath<nnan,contract>
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+ // CHECK-DAG: %[[SIN_COMP:.*]] = complex.create %[[SIN_REAL]], %[[SIN_IMAG]] : complex<f32>
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+
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+ // CHECK: %[[LHS_REAL:.*]] = complex.re %[[SIN_COMP]] : complex<f32>
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+ // CHECK: %[[LHS_IMAG:.*]] = complex.im %[[SIN_COMP]] : complex<f32>
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+ // CHECK: %[[RHS_REAL:.*]] = complex.re %[[COS_COMP]] : complex<f32>
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+ // CHECK: %[[RHS_IMAG:.*]] = complex.im %[[COS_COMP]] : complex<f32>
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+
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+ // CHECK: %[[RHS_REAL_IMAG_RATIO:.*]] = arith.divf %[[RHS_REAL]], %[[RHS_IMAG]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RHS_REAL_TIMES_RHS_REAL_IMAG_RATIO:.*]] = arith.mulf %[[RHS_REAL_IMAG_RATIO]], %[[RHS_REAL]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RHS_REAL_IMAG_DENOM:.*]] = arith.addf %[[RHS_IMAG]], %[[RHS_REAL_TIMES_RHS_REAL_IMAG_RATIO]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[LHS_REAL_TIMES_RHS_REAL_IMAG_RATIO:.*]] = arith.mulf %[[LHS_REAL]], %[[RHS_REAL_IMAG_RATIO]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[REAL_NUMERATOR_1:.*]] = arith.addf %[[LHS_REAL_TIMES_RHS_REAL_IMAG_RATIO]], %[[LHS_IMAG]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RESULT_REAL_1:.*]] = arith.divf %[[REAL_NUMERATOR_1]], %[[RHS_REAL_IMAG_DENOM]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[LHS_IMAG_TIMES_RHS_REAL_IMAG_RATIO:.*]] = arith.mulf %[[LHS_IMAG]], %[[RHS_REAL_IMAG_RATIO]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[IMAG_NUMERATOR_1:.*]] = arith.subf %[[LHS_IMAG_TIMES_RHS_REAL_IMAG_RATIO]], %[[LHS_REAL]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RESULT_IMAG_1:.*]] = arith.divf %[[IMAG_NUMERATOR_1]], %[[RHS_REAL_IMAG_DENOM]] fastmath<nnan,contract> : f32
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+
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+ // CHECK: %[[RHS_IMAG_REAL_RATIO:.*]] = arith.divf %[[RHS_IMAG]], %[[RHS_REAL]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RHS_IMAG_TIMES_RHS_IMAG_REAL_RATIO:.*]] = arith.mulf %[[RHS_IMAG_REAL_RATIO]], %[[RHS_IMAG]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RHS_IMAG_REAL_DENOM:.*]] = arith.addf %[[RHS_REAL]], %[[RHS_IMAG_TIMES_RHS_IMAG_REAL_RATIO]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[LHS_IMAG_TIMES_RHS_IMAG_REAL_RATIO:.*]] = arith.mulf %[[LHS_IMAG]], %[[RHS_IMAG_REAL_RATIO]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[REAL_NUMERATOR_2:.*]] = arith.addf %[[LHS_REAL]], %[[LHS_IMAG_TIMES_RHS_IMAG_REAL_RATIO]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RESULT_REAL_2:.*]] = arith.divf %[[REAL_NUMERATOR_2]], %[[RHS_IMAG_REAL_DENOM]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[LHS_REAL_TIMES_RHS_IMAG_REAL_RATIO:.*]] = arith.mulf %[[LHS_REAL]], %[[RHS_IMAG_REAL_RATIO]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[IMAG_NUMERATOR_2:.*]] = arith.subf %[[LHS_IMAG]], %[[LHS_REAL_TIMES_RHS_IMAG_REAL_RATIO]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RESULT_IMAG_2:.*]] = arith.divf %[[IMAG_NUMERATOR_2]], %[[RHS_IMAG_REAL_DENOM]] fastmath<nnan,contract> : f32
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+
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+ // Case 1. Zero denominator, numerator contains at most one NaN value.
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+ // CHECK: %[[ZERO:.*]] = arith.constant 0.000000e+00 : f32
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+ // CHECK: %[[RHS_REAL_ABS:.*]] = math.absf %[[RHS_REAL]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RHS_REAL_ABS_IS_ZERO:.*]] = arith.cmpf oeq, %[[RHS_REAL_ABS]], %[[ZERO]] : f32
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+ // CHECK: %[[RHS_IMAG_ABS:.*]] = math.absf %[[RHS_IMAG]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RHS_IMAG_ABS_IS_ZERO:.*]] = arith.cmpf oeq, %[[RHS_IMAG_ABS]], %[[ZERO]] : f32
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+ // CHECK: %[[LHS_REAL_IS_NOT_NAN:.*]] = arith.cmpf ord, %[[LHS_REAL]], %[[ZERO]] : f32
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+ // CHECK: %[[LHS_IMAG_IS_NOT_NAN:.*]] = arith.cmpf ord, %[[LHS_IMAG]], %[[ZERO]] : f32
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+ // CHECK: %[[LHS_CONTAINS_NOT_NAN_VALUE:.*]] = arith.ori %[[LHS_REAL_IS_NOT_NAN]], %[[LHS_IMAG_IS_NOT_NAN]] : i1
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+ // CHECK: %[[RHS_IS_ZERO:.*]] = arith.andi %[[RHS_REAL_ABS_IS_ZERO]], %[[RHS_IMAG_ABS_IS_ZERO]] : i1
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+ // CHECK: %[[RESULT_IS_INFINITY:.*]] = arith.andi %[[LHS_CONTAINS_NOT_NAN_VALUE]], %[[RHS_IS_ZERO]] : i1
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+ // CHECK: %[[INF:.*]] = arith.constant 0x7F800000 : f32
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+ // CHECK: %[[INF_WITH_SIGN_OF_RHS_REAL:.*]] = math.copysign %[[INF]], %[[RHS_REAL]] : f32
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+ // CHECK: %[[INFINITY_RESULT_REAL:.*]] = arith.mulf %[[INF_WITH_SIGN_OF_RHS_REAL]], %[[LHS_REAL]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[INFINITY_RESULT_IMAG:.*]] = arith.mulf %[[INF_WITH_SIGN_OF_RHS_REAL]], %[[LHS_IMAG]] fastmath<nnan,contract> : f32
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+
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+ // Case 2. Infinite numerator, finite denominator.
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+ // CHECK: %[[RHS_REAL_FINITE:.*]] = arith.cmpf one, %[[RHS_REAL_ABS]], %[[INF]] : f32
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+ // CHECK: %[[RHS_IMAG_FINITE:.*]] = arith.cmpf one, %[[RHS_IMAG_ABS]], %[[INF]] : f32
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+ // CHECK: %[[RHS_IS_FINITE:.*]] = arith.andi %[[RHS_REAL_FINITE]], %[[RHS_IMAG_FINITE]] : i1
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+ // CHECK: %[[LHS_REAL_ABS:.*]] = math.absf %[[LHS_REAL]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[LHS_REAL_INFINITE:.*]] = arith.cmpf oeq, %[[LHS_REAL_ABS]], %[[INF]] : f32
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+ // CHECK: %[[LHS_IMAG_ABS:.*]] = math.absf %[[LHS_IMAG]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[LHS_IMAG_INFINITE:.*]] = arith.cmpf oeq, %[[LHS_IMAG_ABS]], %[[INF]] : f32
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+ // CHECK: %[[LHS_IS_INFINITE:.*]] = arith.ori %[[LHS_REAL_INFINITE]], %[[LHS_IMAG_INFINITE]] : i1
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+ // CHECK: %[[INF_NUM_FINITE_DENOM:.*]] = arith.andi %[[LHS_IS_INFINITE]], %[[RHS_IS_FINITE]] : i1
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+ // CHECK: %[[ONE:.*]] = arith.constant 1.000000e+00 : f32
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+ // CHECK: %[[LHS_REAL_IS_INF:.*]] = arith.select %[[LHS_REAL_INFINITE]], %[[ONE]], %[[ZERO]] : f32
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+ // CHECK: %[[LHS_REAL_IS_INF_WITH_SIGN:.*]] = math.copysign %[[LHS_REAL_IS_INF]], %[[LHS_REAL]] : f32
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+ // CHECK: %[[LHS_IMAG_IS_INF:.*]] = arith.select %[[LHS_IMAG_INFINITE]], %[[ONE]], %[[ZERO]] : f32
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+ // CHECK: %[[LHS_IMAG_IS_INF_WITH_SIGN:.*]] = math.copysign %[[LHS_IMAG_IS_INF]], %[[LHS_IMAG]] : f32
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+ // CHECK: %[[LHS_REAL_IS_INF_WITH_SIGN_TIMES_RHS_REAL:.*]] = arith.mulf %[[LHS_REAL_IS_INF_WITH_SIGN]], %[[RHS_REAL]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[LHS_IMAG_IS_INF_WITH_SIGN_TIMES_RHS_IMAG:.*]] = arith.mulf %[[LHS_IMAG_IS_INF_WITH_SIGN]], %[[RHS_IMAG]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[INF_MULTIPLICATOR_1:.*]] = arith.addf %[[LHS_REAL_IS_INF_WITH_SIGN_TIMES_RHS_REAL]], %[[LHS_IMAG_IS_INF_WITH_SIGN_TIMES_RHS_IMAG]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RESULT_REAL_3:.*]] = arith.mulf %[[INF]], %[[INF_MULTIPLICATOR_1]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[LHS_REAL_IS_INF_WITH_SIGN_TIMES_RHS_IMAG:.*]] = arith.mulf %[[LHS_REAL_IS_INF_WITH_SIGN]], %[[RHS_IMAG]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[LHS_IMAG_IS_INF_WITH_SIGN_TIMES_RHS_REAL:.*]] = arith.mulf %[[LHS_IMAG_IS_INF_WITH_SIGN]], %[[RHS_REAL]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[INF_MULTIPLICATOR_2:.*]] = arith.subf %[[LHS_IMAG_IS_INF_WITH_SIGN_TIMES_RHS_REAL]], %[[LHS_REAL_IS_INF_WITH_SIGN_TIMES_RHS_IMAG]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RESULT_IMAG_3:.*]] = arith.mulf %[[INF]], %[[INF_MULTIPLICATOR_2]] fastmath<nnan,contract> : f32
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+
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+ // Case 3. Finite numerator, infinite denominator.
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+ // CHECK: %[[LHS_REAL_FINITE:.*]] = arith.cmpf one, %[[LHS_REAL_ABS]], %[[INF]] : f32
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+ // CHECK: %[[LHS_IMAG_FINITE:.*]] = arith.cmpf one, %[[LHS_IMAG_ABS]], %[[INF]] : f32
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+ // CHECK: %[[LHS_IS_FINITE:.*]] = arith.andi %[[LHS_REAL_FINITE]], %[[LHS_IMAG_FINITE]] : i1
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+ // CHECK: %[[RHS_REAL_INFINITE:.*]] = arith.cmpf oeq, %[[RHS_REAL_ABS]], %[[INF]] : f32
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+ // CHECK: %[[RHS_IMAG_INFINITE:.*]] = arith.cmpf oeq, %[[RHS_IMAG_ABS]], %[[INF]] : f32
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+ // CHECK: %[[RHS_IS_INFINITE:.*]] = arith.ori %[[RHS_REAL_INFINITE]], %[[RHS_IMAG_INFINITE]] : i1
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+ // CHECK: %[[FINITE_NUM_INFINITE_DENOM:.*]] = arith.andi %[[LHS_IS_FINITE]], %[[RHS_IS_INFINITE]] : i1
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+ // CHECK: %[[RHS_REAL_IS_INF:.*]] = arith.select %[[RHS_REAL_INFINITE]], %[[ONE]], %[[ZERO]] : f32
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+ // CHECK: %[[RHS_REAL_IS_INF_WITH_SIGN:.*]] = math.copysign %[[RHS_REAL_IS_INF]], %[[RHS_REAL]] : f32
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+ // CHECK: %[[RHS_IMAG_IS_INF:.*]] = arith.select %[[RHS_IMAG_INFINITE]], %[[ONE]], %[[ZERO]] : f32
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+ // CHECK: %[[RHS_IMAG_IS_INF_WITH_SIGN:.*]] = math.copysign %[[RHS_IMAG_IS_INF]], %[[RHS_IMAG]] : f32
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+ // CHECK: %[[RHS_REAL_IS_INF_WITH_SIGN_TIMES_LHS_REAL:.*]] = arith.mulf %[[LHS_REAL]], %[[RHS_REAL_IS_INF_WITH_SIGN]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RHS_IMAG_IS_INF_WITH_SIGN_TIMES_LHS_IMAG:.*]] = arith.mulf %[[LHS_IMAG]], %[[RHS_IMAG_IS_INF_WITH_SIGN]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[ZERO_MULTIPLICATOR_1:.*]] = arith.addf %[[RHS_REAL_IS_INF_WITH_SIGN_TIMES_LHS_REAL]], %[[RHS_IMAG_IS_INF_WITH_SIGN_TIMES_LHS_IMAG]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RESULT_REAL_4:.*]] = arith.mulf %[[ZERO]], %[[ZERO_MULTIPLICATOR_1]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RHS_REAL_IS_INF_WITH_SIGN_TIMES_LHS_IMAG:.*]] = arith.mulf %[[LHS_IMAG]], %[[RHS_REAL_IS_INF_WITH_SIGN]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RHS_IMAG_IS_INF_WITH_SIGN_TIMES_LHS_REAL:.*]] = arith.mulf %[[LHS_REAL]], %[[RHS_IMAG_IS_INF_WITH_SIGN]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[ZERO_MULTIPLICATOR_2:.*]] = arith.subf %[[RHS_REAL_IS_INF_WITH_SIGN_TIMES_LHS_IMAG]], %[[RHS_IMAG_IS_INF_WITH_SIGN_TIMES_LHS_REAL]] fastmath<nnan,contract> : f32
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+ // CHECK: %[[RESULT_IMAG_4:.*]] = arith.mulf %[[ZERO]], %[[ZERO_MULTIPLICATOR_2]] fastmath<nnan,contract> : f32
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+
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+ // CHECK: %[[REAL_ABS_SMALLER_THAN_IMAG_ABS:.*]] = arith.cmpf olt, %[[RHS_REAL_ABS]], %[[RHS_IMAG_ABS]] : f32
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+ // CHECK: %[[RESULT_REAL:.*]] = arith.select %[[REAL_ABS_SMALLER_THAN_IMAG_ABS]], %[[RESULT_REAL_1]], %[[RESULT_REAL_2]] : f32
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+ // CHECK: %[[RESULT_IMAG:.*]] = arith.select %[[REAL_ABS_SMALLER_THAN_IMAG_ABS]], %[[RESULT_IMAG_1]], %[[RESULT_IMAG_2]] : f32
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+ // CHECK: %[[RESULT_REAL_SPECIAL_CASE_3:.*]] = arith.select %[[FINITE_NUM_INFINITE_DENOM]], %[[RESULT_REAL_4]], %[[RESULT_REAL]] : f32
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+ // CHECK: %[[RESULT_IMAG_SPECIAL_CASE_3:.*]] = arith.select %[[FINITE_NUM_INFINITE_DENOM]], %[[RESULT_IMAG_4]], %[[RESULT_IMAG]] : f32
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+ // CHECK: %[[RESULT_REAL_SPECIAL_CASE_2:.*]] = arith.select %[[INF_NUM_FINITE_DENOM]], %[[RESULT_REAL_3]], %[[RESULT_REAL_SPECIAL_CASE_3]] : f32
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+ // CHECK: %[[RESULT_IMAG_SPECIAL_CASE_2:.*]] = arith.select %[[INF_NUM_FINITE_DENOM]], %[[RESULT_IMAG_3]], %[[RESULT_IMAG_SPECIAL_CASE_3]] : f32
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+ // CHECK: %[[RESULT_REAL_SPECIAL_CASE_1:.*]] = arith.select %[[RESULT_IS_INFINITY]], %[[INFINITY_RESULT_REAL]], %[[RESULT_REAL_SPECIAL_CASE_2]] : f32
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+ // CHECK: %[[RESULT_IMAG_SPECIAL_CASE_1:.*]] = arith.select %[[RESULT_IS_INFINITY]], %[[INFINITY_RESULT_IMAG]], %[[RESULT_IMAG_SPECIAL_CASE_2]] : f32
2059
+ // CHECK: %[[RESULT_REAL_IS_NAN:.*]] = arith.cmpf uno, %[[RESULT_REAL]], %[[ZERO]] : f32
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+ // CHECK: %[[RESULT_IMAG_IS_NAN:.*]] = arith.cmpf uno, %[[RESULT_IMAG]], %[[ZERO]] : f32
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+ // CHECK: %[[RESULT_IS_NAN:.*]] = arith.andi %[[RESULT_REAL_IS_NAN]], %[[RESULT_IMAG_IS_NAN]] : i1
2062
+ // CHECK: %[[RESULT_REAL_WITH_SPECIAL_CASES:.*]] = arith.select %[[RESULT_IS_NAN]], %[[RESULT_REAL_SPECIAL_CASE_1]], %[[RESULT_REAL]] : f32
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+ // CHECK: %[[RESULT_IMAG_WITH_SPECIAL_CASES:.*]] = arith.select %[[RESULT_IS_NAN]], %[[RESULT_IMAG_SPECIAL_CASE_1]], %[[RESULT_IMAG]] : f32
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+ // CHECK: %[[RESULT:.*]] = complex.create %[[RESULT_REAL_WITH_SPECIAL_CASES]], %[[RESULT_IMAG_WITH_SPECIAL_CASES]] : complex<f32>
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+ // CHECK: return %[[RESULT]] : complex<f32>
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+
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