| 1 | #include "duckdb/function/scalar/math_functions.hpp" | 
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| 2 | #include "duckdb/common/vector_operations/vector_operations.hpp" | 
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| 3 | #include "duckdb/function/scalar/trigonometric_functions.hpp" | 
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| 4 |  | 
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| 5 | #include <algorithm> | 
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| 6 | #include <cmath> | 
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| 7 |  | 
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| 8 | using namespace std; | 
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| 9 |  | 
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| 10 | namespace duckdb { | 
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| 11 |  | 
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| 12 | template <class TR, class OP> static scalar_function_t GetScalarIntegerUnaryFunctionFixedReturn(SQLType type) { | 
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| 13 | switch (type.id) { | 
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| 14 | case SQLTypeId::TINYINT: | 
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| 15 | return ScalarFunction::UnaryFunction<int8_t, TR, OP>; | 
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| 16 | case SQLTypeId::SMALLINT: | 
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| 17 | return ScalarFunction::UnaryFunction<int16_t, TR, OP>; | 
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| 18 | case SQLTypeId::INTEGER: | 
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| 19 | return ScalarFunction::UnaryFunction<int32_t, TR, OP>; | 
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| 20 | case SQLTypeId::BIGINT: | 
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| 21 | return ScalarFunction::UnaryFunction<int64_t, TR, OP>; | 
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| 22 | default: | 
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| 23 | throw NotImplementedException( "Unimplemented type for GetScalarIntegerUnaryFunctionFixedReturn"); | 
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| 24 | } | 
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| 25 | } | 
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| 26 |  | 
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| 27 | struct UnaryDoubleWrapper { | 
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| 28 | template <class FUNC, class OP, class INPUT_TYPE, class RESULT_TYPE> | 
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| 29 | static inline RESULT_TYPE Operation(FUNC fun, INPUT_TYPE input, nullmask_t &nullmask, idx_t idx) { | 
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| 30 | RESULT_TYPE result = OP::template Operation<INPUT_TYPE, RESULT_TYPE>(input); | 
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| 31 | if (std::isnan(result) || std::isinf(result) || errno != 0) { | 
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| 32 | errno = 0; | 
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| 33 | nullmask[idx] = true; | 
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| 34 | return 0; | 
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| 35 | } | 
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| 36 | return result; | 
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| 37 | } | 
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| 38 | }; | 
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| 39 |  | 
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| 40 | template <class T, class OP> | 
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| 41 | static void UnaryDoubleFunctionWrapper(DataChunk &input, ExpressionState &state, Vector &result) { | 
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| 42 | assert(input.column_count() >= 1); | 
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| 43 | errno = 0; | 
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| 44 | UnaryExecutor::Execute<T, T, OP, true, UnaryDoubleWrapper>(input.data[0], result, input.size()); | 
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| 45 | } | 
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| 46 |  | 
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| 47 | struct BinaryDoubleWrapper { | 
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| 48 | template <class FUNC, class OP, class TA, class TB, class TR> | 
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| 49 | static inline TR Operation(FUNC fun, TA left, TB right, nullmask_t &nullmask, idx_t idx) { | 
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| 50 | TR result = OP::template Operation<TA, TB, TR>(left, right); | 
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| 51 | if (std::isnan(result) || std::isinf(result) || errno != 0) { | 
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| 52 | errno = 0; | 
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| 53 | nullmask[idx] = true; | 
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| 54 | return 0; | 
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| 55 | } | 
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| 56 | return result; | 
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| 57 | } | 
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| 58 | }; | 
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| 59 |  | 
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| 60 | template <class T, class OP> | 
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| 61 | static void BinaryDoubleFunctionWrapper(DataChunk &input, ExpressionState &state, Vector &result) { | 
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| 62 | assert(input.column_count() >= 2); | 
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| 63 | errno = 0; | 
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| 64 | BinaryExecutor::Execute<T, T, T, OP, true, BinaryDoubleWrapper>(input.data[0], input.data[1], result, input.size()); | 
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| 65 | } | 
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| 66 |  | 
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| 67 | //===--------------------------------------------------------------------===// | 
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| 68 | // abs | 
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| 69 | //===--------------------------------------------------------------------===// | 
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| 70 | struct AbsOperator { | 
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| 71 | template <class TA, class TR> static inline TR Operation(TA left) { | 
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| 72 | return left < 0 ? left * -1 : left; | 
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| 73 | } | 
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| 74 | }; | 
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| 75 |  | 
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| 76 | void AbsFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 77 | ScalarFunctionSet abs( "abs"); | 
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| 78 | for (auto &type : SQLType::NUMERIC) { | 
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| 79 | abs.AddFunction(ScalarFunction({type}, type, ScalarFunction::GetScalarUnaryFunction<AbsOperator>(type))); | 
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| 80 | } | 
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| 81 | set.AddFunction(abs); | 
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| 82 | } | 
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| 83 |  | 
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| 84 | //===--------------------------------------------------------------------===// | 
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| 85 | // bit_count | 
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| 86 | //===--------------------------------------------------------------------===// | 
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| 87 | struct BitCntOperator { | 
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| 88 | template <class TA, class TR> static inline TR Operation(TA input) { | 
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| 89 | using TU = typename make_unsigned<TA>::type; | 
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| 90 | TR count = 0; | 
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| 91 | for (auto value = TU(input); value > 0; value >>= 1) { | 
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| 92 | count += TR(value & 1); | 
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| 93 | } | 
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| 94 | return count; | 
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| 95 | } | 
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| 96 | }; | 
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| 97 |  | 
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| 98 | void BitCountFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 99 | ScalarFunctionSet functions( "bit_count"); | 
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| 100 | for (auto &type : SQLType::INTEGRAL) { | 
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| 101 | functions.AddFunction(ScalarFunction({type}, SQLType::TINYINT, | 
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| 102 | GetScalarIntegerUnaryFunctionFixedReturn<int8_t, BitCntOperator>(type))); | 
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| 103 | } | 
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| 104 | set.AddFunction(functions); | 
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| 105 | } | 
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| 106 |  | 
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| 107 | //===--------------------------------------------------------------------===// | 
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| 108 | // sign | 
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| 109 | //===--------------------------------------------------------------------===// | 
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| 110 | struct SignOperator { | 
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| 111 | template <class TA, class TR> static inline TR Operation(TA left) { | 
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| 112 | if (left == TA(0)) | 
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| 113 | return 0; | 
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| 114 | else if (left > TA(0)) | 
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| 115 | return 1; | 
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| 116 | else | 
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| 117 | return -1; | 
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| 118 | } | 
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| 119 | }; | 
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| 120 |  | 
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| 121 | void SignFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 122 | ScalarFunctionSet sign( "sign"); | 
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| 123 | for (auto &type : SQLType::NUMERIC) { | 
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| 124 | sign.AddFunction(ScalarFunction({type}, SQLType::TINYINT, | 
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| 125 | ScalarFunction::GetScalarUnaryFunctionFixedReturn<int8_t, SignOperator>(type))); | 
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| 126 | } | 
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| 127 | set.AddFunction(sign); | 
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| 128 | } | 
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| 129 |  | 
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| 130 | //===--------------------------------------------------------------------===// | 
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| 131 | // ceil | 
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| 132 | //===--------------------------------------------------------------------===// | 
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| 133 | struct CeilOperator { | 
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| 134 | template <class TA, class TR> static inline TR Operation(TA left) { | 
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| 135 | return ceil(left); | 
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| 136 | } | 
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| 137 | }; | 
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| 138 |  | 
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| 139 | void CeilFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 140 | ScalarFunctionSet ceil( "ceil"); | 
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| 141 | for (auto &type : SQLType::NUMERIC) { | 
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| 142 | scalar_function_t func; | 
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| 143 | if (type.IsIntegral()) { | 
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| 144 | // ceil on integral type is a nop | 
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| 145 | func = ScalarFunction::NopFunction; | 
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| 146 | } else { | 
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| 147 | func = ScalarFunction::GetScalarUnaryFunction<CeilOperator>(type); | 
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| 148 | } | 
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| 149 | ceil.AddFunction(ScalarFunction({type}, type, func)); | 
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| 150 | } | 
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| 151 | set.AddFunction(ceil); | 
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| 152 | ceil.name = "ceiling"; | 
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| 153 | set.AddFunction(ceil); | 
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| 154 | } | 
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| 155 |  | 
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| 156 | //===--------------------------------------------------------------------===// | 
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| 157 | // floor | 
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| 158 | //===--------------------------------------------------------------------===// | 
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| 159 | struct FloorOperator { | 
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| 160 | template <class TA, class TR> static inline TR Operation(TA left) { | 
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| 161 | return floor(left); | 
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| 162 | } | 
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| 163 | }; | 
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| 164 |  | 
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| 165 | void FloorFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 166 | ScalarFunctionSet floor( "floor"); | 
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| 167 | for (auto &type : SQLType::NUMERIC) { | 
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| 168 | scalar_function_t func; | 
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| 169 | if (type.IsIntegral()) { | 
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| 170 | // floor on integral type is a nop | 
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| 171 | func = ScalarFunction::NopFunction; | 
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| 172 | } else { | 
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| 173 | func = ScalarFunction::GetScalarUnaryFunction<FloorOperator>(type); | 
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| 174 | } | 
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| 175 | floor.AddFunction(ScalarFunction({type}, type, func)); | 
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| 176 | } | 
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| 177 | set.AddFunction(floor); | 
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| 178 | } | 
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| 179 |  | 
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| 180 | //===--------------------------------------------------------------------===// | 
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| 181 | // round | 
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| 182 | //===--------------------------------------------------------------------===// | 
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| 183 | struct RoundOperator { | 
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| 184 | template <class TA, class TB, class TR> static inline TR Operation(TA input, TB precision) { | 
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| 185 | if (precision < 0) { | 
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| 186 | precision = 0; | 
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| 187 | } | 
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| 188 | double modifier = pow(10, precision); | 
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| 189 | double rounded_value = (round(input * modifier)) / modifier; | 
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| 190 | if (std::isinf(rounded_value) || std::isnan(rounded_value)) { | 
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| 191 | return input; | 
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| 192 | } | 
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| 193 | return rounded_value; | 
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| 194 | } | 
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| 195 | }; | 
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| 196 |  | 
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| 197 | void RoundFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 198 | ScalarFunctionSet round( "round"); | 
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| 199 | for (auto &type : SQLType::NUMERIC) { | 
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| 200 | scalar_function_t func; | 
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| 201 | if (type.IsIntegral()) { | 
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| 202 | // round on integral type is a nop | 
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| 203 | func = ScalarFunction::NopFunction; | 
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| 204 | } else if (type.id == SQLTypeId::FLOAT) { | 
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| 205 | func = ScalarFunction::BinaryFunction<float, int32_t, float, RoundOperator>; | 
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| 206 | } else { | 
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| 207 | assert(type.id == SQLTypeId::DOUBLE || type.id == SQLTypeId::DECIMAL); | 
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| 208 | func = ScalarFunction::BinaryFunction<double, int32_t, double, RoundOperator>; | 
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| 209 | } | 
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| 210 | round.AddFunction(ScalarFunction({type, SQLType::INTEGER}, type, func)); | 
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| 211 | } | 
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| 212 | set.AddFunction(round); | 
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| 213 | } | 
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| 214 |  | 
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| 215 | //===--------------------------------------------------------------------===// | 
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| 216 | // exp | 
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| 217 | //===--------------------------------------------------------------------===// | 
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| 218 | struct ExpOperator { | 
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| 219 | template <class TA, class TR> static inline TR Operation(TA left) { | 
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| 220 | return exp(left); | 
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| 221 | } | 
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| 222 | }; | 
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| 223 |  | 
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| 224 | void ExpFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 225 | set.AddFunction( | 
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| 226 | ScalarFunction( "exp", {SQLType::DOUBLE}, SQLType::DOUBLE, UnaryDoubleFunctionWrapper<double, ExpOperator>)); | 
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| 227 | } | 
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| 228 |  | 
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| 229 | //===--------------------------------------------------------------------===// | 
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| 230 | // pow | 
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| 231 | //===--------------------------------------------------------------------===// | 
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| 232 | struct PowOperator { | 
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| 233 | template <class TA, class TB, class TR> static inline TR Operation(TA base, TB exponent) { | 
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| 234 | return pow(base, exponent); | 
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| 235 | } | 
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| 236 | }; | 
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| 237 |  | 
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| 238 | void PowFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 239 | ScalarFunction power_function( "pow", {SQLType::DOUBLE, SQLType::DOUBLE}, SQLType::DOUBLE, | 
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| 240 | BinaryDoubleFunctionWrapper<double, PowOperator>); | 
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| 241 | set.AddFunction(power_function); | 
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| 242 | power_function.name = "power"; | 
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| 243 | set.AddFunction(power_function); | 
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| 244 | } | 
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| 245 |  | 
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| 246 | //===--------------------------------------------------------------------===// | 
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| 247 | // sqrt | 
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| 248 | //===--------------------------------------------------------------------===// | 
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| 249 | struct SqrtOperator { | 
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| 250 | template <class TA, class TR> static inline TR Operation(TA left) { | 
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| 251 | return sqrt(left); | 
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| 252 | } | 
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| 253 | }; | 
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| 254 |  | 
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| 255 | void SqrtFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 256 | set.AddFunction( | 
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| 257 | ScalarFunction( "sqrt", {SQLType::DOUBLE}, SQLType::DOUBLE, UnaryDoubleFunctionWrapper<double, SqrtOperator>)); | 
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| 258 | } | 
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| 259 |  | 
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| 260 | //===--------------------------------------------------------------------===// | 
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| 261 | // cbrt | 
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| 262 | //===--------------------------------------------------------------------===// | 
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| 263 | struct CbRtOperator { | 
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| 264 | template <class TA, class TR> static inline TR Operation(TA left) { | 
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| 265 | return cbrt(left); | 
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| 266 | } | 
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| 267 | }; | 
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| 268 |  | 
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| 269 | void CbrtFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 270 | set.AddFunction( | 
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| 271 | ScalarFunction( "cbrt", {SQLType::DOUBLE}, SQLType::DOUBLE, UnaryDoubleFunctionWrapper<double, CbRtOperator>)); | 
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| 272 | } | 
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| 273 |  | 
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| 274 | //===--------------------------------------------------------------------===// | 
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| 275 | // ln | 
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| 276 | //===--------------------------------------------------------------------===// | 
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| 277 |  | 
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| 278 | struct LnOperator { | 
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| 279 | template <class TA, class TR> static inline TR Operation(TA left) { | 
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| 280 | return log(left); | 
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| 281 | } | 
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| 282 | }; | 
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| 283 |  | 
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| 284 | void LnFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 285 | set.AddFunction( | 
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| 286 | ScalarFunction( "ln", {SQLType::DOUBLE}, SQLType::DOUBLE, UnaryDoubleFunctionWrapper<double, LnOperator>)); | 
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| 287 | } | 
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| 288 |  | 
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| 289 | //===--------------------------------------------------------------------===// | 
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| 290 | // log | 
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| 291 | //===--------------------------------------------------------------------===// | 
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| 292 | struct Log10Operator { | 
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| 293 | template <class TA, class TR> static inline TR Operation(TA left) { | 
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| 294 | return log10(left); | 
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| 295 | } | 
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| 296 | }; | 
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| 297 |  | 
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| 298 | void Log10Fun::RegisterFunction(BuiltinFunctions &set) { | 
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| 299 | set.AddFunction({ "log10", "log"}, ScalarFunction({SQLType::DOUBLE}, SQLType::DOUBLE, | 
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| 300 | UnaryDoubleFunctionWrapper<double, Log10Operator>)); | 
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| 301 | } | 
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| 302 |  | 
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| 303 | //===--------------------------------------------------------------------===// | 
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| 304 | // log2 | 
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| 305 | //===--------------------------------------------------------------------===// | 
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| 306 | struct Log2Operator { | 
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| 307 | template <class TA, class TR> static inline TR Operation(TA left) { | 
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| 308 | return log2(left); | 
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| 309 | } | 
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| 310 | }; | 
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| 311 |  | 
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| 312 | void Log2Fun::RegisterFunction(BuiltinFunctions &set) { | 
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| 313 | set.AddFunction( | 
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| 314 | ScalarFunction( "log2", {SQLType::DOUBLE}, SQLType::DOUBLE, UnaryDoubleFunctionWrapper<double, Log2Operator>)); | 
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| 315 | } | 
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| 316 |  | 
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| 317 | //===--------------------------------------------------------------------===// | 
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| 318 | // pi | 
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| 319 | //===--------------------------------------------------------------------===// | 
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| 320 | Value pi_value = Value::DOUBLE(PI); | 
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| 321 |  | 
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| 322 | static void pi_function(DataChunk &args, ExpressionState &state, Vector &result) { | 
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| 323 | assert(args.column_count() == 0); | 
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| 324 | result.Reference(pi_value); | 
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| 325 | } | 
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| 326 |  | 
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| 327 | void PiFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 328 | set.AddFunction(ScalarFunction( "pi", {}, SQLType::DOUBLE, pi_function)); | 
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| 329 | } | 
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| 330 |  | 
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| 331 | //===--------------------------------------------------------------------===// | 
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| 332 | // degrees | 
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| 333 | //===--------------------------------------------------------------------===// | 
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| 334 | struct DegreesOperator { | 
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| 335 | template <class TA, class TR> static inline TR Operation(TA left) { | 
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| 336 | return left * (180 / PI); | 
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| 337 | } | 
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| 338 | }; | 
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| 339 |  | 
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| 340 | void DegreesFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 341 | set.AddFunction(ScalarFunction( "degrees", {SQLType::DOUBLE}, SQLType::DOUBLE, | 
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| 342 | UnaryDoubleFunctionWrapper<double, DegreesOperator>)); | 
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| 343 | } | 
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| 344 |  | 
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| 345 | //===--------------------------------------------------------------------===// | 
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| 346 | // radians | 
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| 347 | //===--------------------------------------------------------------------===// | 
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| 348 | struct RadiansOperator { | 
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| 349 | template <class TA, class TR> static inline TR Operation(TA left) { | 
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| 350 | return left * (PI / 180); | 
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| 351 | } | 
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| 352 | }; | 
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| 353 |  | 
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| 354 | void RadiansFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 355 | set.AddFunction(ScalarFunction( "radians", {SQLType::DOUBLE}, SQLType::DOUBLE, | 
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| 356 | UnaryDoubleFunctionWrapper<double, RadiansOperator>)); | 
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| 357 | } | 
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| 358 |  | 
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| 359 | //===--------------------------------------------------------------------===// | 
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| 360 | // sin | 
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| 361 | //===--------------------------------------------------------------------===// | 
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| 362 | struct SinOperator { | 
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| 363 | template <class TA, class TR> static inline TR Operation(TA input) { | 
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| 364 | return sin(input); | 
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| 365 | } | 
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| 366 | }; | 
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| 367 |  | 
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| 368 | void SinFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 369 | set.AddFunction( | 
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| 370 | ScalarFunction( "sin", {SQLType::DOUBLE}, SQLType::DOUBLE, UnaryDoubleFunctionWrapper<double, SinOperator>)); | 
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| 371 | } | 
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| 372 |  | 
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| 373 | //===--------------------------------------------------------------------===// | 
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| 374 | // cos | 
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| 375 | //===--------------------------------------------------------------------===// | 
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| 376 | struct CosOperator { | 
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| 377 | template <class TA, class TR> static inline TR Operation(TA input) { | 
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| 378 | return (double)cos(input); | 
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| 379 | } | 
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| 380 | }; | 
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| 381 |  | 
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| 382 | void CosFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 383 | set.AddFunction( | 
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| 384 | ScalarFunction( "cos", {SQLType::DOUBLE}, SQLType::DOUBLE, UnaryDoubleFunctionWrapper<double, CosOperator>)); | 
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| 385 | } | 
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| 386 |  | 
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| 387 | //===--------------------------------------------------------------------===// | 
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| 388 | // tan | 
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| 389 | //===--------------------------------------------------------------------===// | 
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| 390 | struct TanOperator { | 
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| 391 | template <class TA, class TR> static inline TR Operation(TA input) { | 
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| 392 | return (double)tan(input); | 
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| 393 | } | 
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| 394 | }; | 
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| 395 |  | 
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| 396 | void TanFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 397 | set.AddFunction( | 
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| 398 | ScalarFunction( "tan", {SQLType::DOUBLE}, SQLType::DOUBLE, UnaryDoubleFunctionWrapper<double, TanOperator>)); | 
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| 399 | } | 
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| 400 |  | 
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| 401 | //===--------------------------------------------------------------------===// | 
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| 402 | // asin | 
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| 403 | //===--------------------------------------------------------------------===// | 
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| 404 | struct ASinOperator { | 
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| 405 | template <class TA, class TR> static inline TR Operation(TA input) { | 
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| 406 | if (input < -1 || input > 1) { | 
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| 407 | throw Exception( "ASIN is undefined outside [-1,1]"); | 
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| 408 | } | 
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| 409 | return (double)asin(input); | 
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| 410 | } | 
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| 411 | }; | 
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| 412 |  | 
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| 413 | void AsinFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 414 | set.AddFunction( | 
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| 415 | ScalarFunction( "asin", {SQLType::DOUBLE}, SQLType::DOUBLE, UnaryDoubleFunctionWrapper<double, ASinOperator>)); | 
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| 416 | } | 
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| 417 |  | 
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| 418 | //===--------------------------------------------------------------------===// | 
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| 419 | // atan | 
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| 420 | //===--------------------------------------------------------------------===// | 
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| 421 | struct ATanOperator { | 
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| 422 | template <class TA, class TR> static inline TR Operation(TA input) { | 
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| 423 | return (double)atan(input); | 
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| 424 | } | 
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| 425 | }; | 
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| 426 |  | 
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| 427 | void AtanFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 428 | set.AddFunction( | 
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| 429 | ScalarFunction( "atan", {SQLType::DOUBLE}, SQLType::DOUBLE, UnaryDoubleFunctionWrapper<double, ATanOperator>)); | 
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| 430 | } | 
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| 431 |  | 
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| 432 | //===--------------------------------------------------------------------===// | 
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| 433 | // atan2 | 
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| 434 | //===--------------------------------------------------------------------===// | 
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| 435 | struct ATan2 { | 
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| 436 | template <class TA, class TB, class TR> static inline TR Operation(TA left, TB right) { | 
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| 437 | return (double)atan2(left, right); | 
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| 438 | } | 
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| 439 | }; | 
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| 440 |  | 
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| 441 | void Atan2Fun::RegisterFunction(BuiltinFunctions &set) { | 
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| 442 | set.AddFunction(ScalarFunction( "atan2", {SQLType::DOUBLE, SQLType::DOUBLE}, SQLType::DOUBLE, | 
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| 443 | BinaryDoubleFunctionWrapper<double, ATan2>)); | 
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| 444 | } | 
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| 445 |  | 
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| 446 | //===--------------------------------------------------------------------===// | 
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| 447 | // acos | 
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| 448 | //===--------------------------------------------------------------------===// | 
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| 449 | struct ACos { | 
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| 450 | template <class TA, class TR> static inline TR Operation(TA input) { | 
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| 451 | return (double)acos(input); | 
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| 452 | } | 
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| 453 | }; | 
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| 454 |  | 
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| 455 | void AcosFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 456 | set.AddFunction( | 
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| 457 | ScalarFunction( "acos", {SQLType::DOUBLE}, SQLType::DOUBLE, UnaryDoubleFunctionWrapper<double, ACos>)); | 
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| 458 | } | 
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| 459 |  | 
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| 460 | //===--------------------------------------------------------------------===// | 
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| 461 | // cot | 
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| 462 | //===--------------------------------------------------------------------===// | 
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| 463 | struct CotOperator { | 
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| 464 | template <class TA, class TR> static inline TR Operation(TA input) { | 
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| 465 | return 1.0 / (double)tan(input); | 
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| 466 | } | 
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| 467 | }; | 
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| 468 |  | 
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| 469 | void CotFun::RegisterFunction(BuiltinFunctions &set) { | 
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| 470 | set.AddFunction( | 
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| 471 | ScalarFunction( "cot", {SQLType::DOUBLE}, SQLType::DOUBLE, UnaryDoubleFunctionWrapper<double, CotOperator>)); | 
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| 472 | } | 
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| 473 |  | 
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| 474 | } // namespace duckdb | 
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| 475 |  | 
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