|
| 1 | +packageMaths; |
| 2 | + |
| 3 | +importjava.math.BigDecimal; |
| 4 | +importjava.util.Arrays; |
| 5 | +importjava.util.Objects; |
| 6 | +importjava.util.Optional; |
| 7 | +importjava.util.function.BiFunction; |
| 8 | +importjava.util.stream.IntStream; |
| 9 | + |
| 10 | +/** |
| 11 | + * @author: caos321 |
| 12 | + * @date: 31 October 2021 (Sunday) |
| 13 | + */ |
| 14 | +publicclassMatrixUtil { |
| 15 | + |
| 16 | +publicstaticbooleanisValid(finalBigDecimal[][]matrix) { |
| 17 | +returnmatrix !=null &&matrix.length >0 &&matrix[0].length >0; |
| 18 | + } |
| 19 | + |
| 20 | +publicstaticbooleanhasEqualSizes(finalBigDecimal[][]matrix1,finalBigDecimal[][]matrix2) { |
| 21 | +returnisValid(matrix1) &&isValid(matrix2) |
| 22 | + &&matrix1.length ==matrix2.length |
| 23 | + &&matrix1[0].length ==matrix2[0].length; |
| 24 | + } |
| 25 | + |
| 26 | +publicstaticbooleancanMultiply(finalBigDecimal[][]matrix1,finalBigDecimal[][]matrix2) { |
| 27 | +returnisValid(matrix1) &&isValid(matrix2) |
| 28 | + &&matrix1[0].length ==matrix2.length; |
| 29 | + } |
| 30 | + |
| 31 | +publicstaticOptional<BigDecimal[][]>operate(finalBigDecimal[][]matrix1, |
| 32 | +finalBigDecimal[][]matrix2, |
| 33 | +finalBiFunction<BigDecimal,BigDecimal,BigDecimal>operation) { |
| 34 | +if (!hasEqualSizes(matrix1,matrix2)) { |
| 35 | +returnOptional.empty(); |
| 36 | + } |
| 37 | + |
| 38 | +finalintrowSize =matrix1.length; |
| 39 | +finalintcolumnSize =matrix1[0].length; |
| 40 | + |
| 41 | +finalBigDecimal[][]result =newBigDecimal[rowSize][columnSize]; |
| 42 | + |
| 43 | +IntStream.range(0,rowSize).forEach(rowIndex -> |
| 44 | +IntStream.range(0,columnSize).forEach(columnIndex -> { |
| 45 | +finalBigDecimalvalue1 =matrix1[rowIndex][columnIndex]; |
| 46 | +finalBigDecimalvalue2 =matrix2[rowIndex][columnIndex]; |
| 47 | + |
| 48 | +result[rowIndex][columnIndex] =operation.apply(value1,value2); |
| 49 | + })); |
| 50 | + |
| 51 | +returnOptional.of(result); |
| 52 | + } |
| 53 | + |
| 54 | +publicstaticOptional<BigDecimal[][]>add(finalBigDecimal[][]matrix1,finalBigDecimal[][]matrix2) { |
| 55 | +returnoperate(matrix1,matrix2,BigDecimal::add); |
| 56 | + } |
| 57 | + |
| 58 | +publicstaticOptional<BigDecimal[][]>subtract(finalBigDecimal[][]matrix1,finalBigDecimal[][]matrix2) { |
| 59 | +returnoperate(matrix1,matrix2,BigDecimal::subtract); |
| 60 | + } |
| 61 | + |
| 62 | +publicstaticOptional<BigDecimal[][]>multiply(finalBigDecimal[][]matrix1,finalBigDecimal[][]matrix2) { |
| 63 | +if (!canMultiply(matrix1,matrix2)) { |
| 64 | +returnOptional.empty(); |
| 65 | + } |
| 66 | + |
| 67 | +finalintsize =matrix1[0].length; |
| 68 | + |
| 69 | +finalintmatrix1RowSize =matrix1.length; |
| 70 | +finalintmatrix2ColumnSize =matrix2[0].length; |
| 71 | + |
| 72 | +finalBigDecimal[][]result =newBigDecimal[matrix1RowSize][matrix2ColumnSize]; |
| 73 | + |
| 74 | +IntStream.range(0,matrix1RowSize).forEach(rowIndex -> |
| 75 | +IntStream.range(0,matrix2ColumnSize).forEach(columnIndex -> |
| 76 | +result[rowIndex][columnIndex] =IntStream.range(0,size).mapToObj(index -> { |
| 77 | +finalBigDecimalvalue1 =matrix1[rowIndex][index]; |
| 78 | +finalBigDecimalvalue2 =matrix2[index][columnIndex]; |
| 79 | + |
| 80 | +returnvalue1.multiply(value2); |
| 81 | + }) |
| 82 | + .reduce(BigDecimal.ZERO,BigDecimal::add) |
| 83 | + ) |
| 84 | + ); |
| 85 | + |
| 86 | +returnOptional.of(result); |
| 87 | + } |
| 88 | + |
| 89 | +publicstaticvoidassertThat(finalBigDecimal[][]actual,finalBigDecimal[][]expected) { |
| 90 | +if (!Objects.deepEquals(actual,expected)) { |
| 91 | +thrownewAssertionError(String.format( |
| 92 | +"expected=%s but was actual=%s", |
| 93 | +Arrays.deepToString(expected), |
| 94 | +Arrays.deepToString(actual) |
| 95 | + )); |
| 96 | + } |
| 97 | + } |
| 98 | + |
| 99 | +publicstaticvoidmain(finalString[]args) { |
| 100 | + { |
| 101 | +finalBigDecimal[][]matrix1 = { |
| 102 | + {newBigDecimal(3),newBigDecimal(2)}, |
| 103 | + {newBigDecimal(0),newBigDecimal(1)}, |
| 104 | + }; |
| 105 | + |
| 106 | +finalBigDecimal[][]matrix2 = { |
| 107 | + {newBigDecimal(1),newBigDecimal(3)}, |
| 108 | + {newBigDecimal(2),newBigDecimal(0)}, |
| 109 | + }; |
| 110 | + |
| 111 | +finalBigDecimal[][]actual =add(matrix1,matrix2) |
| 112 | + .orElseThrow(() ->newAssertionError("Could not compute matrix!")); |
| 113 | + |
| 114 | +finalBigDecimal[][]expected = { |
| 115 | + {newBigDecimal(4),newBigDecimal(5)}, |
| 116 | + {newBigDecimal(2),newBigDecimal(1)} |
| 117 | + }; |
| 118 | + |
| 119 | +assertThat(actual,expected); |
| 120 | + } |
| 121 | + |
| 122 | + { |
| 123 | +finalBigDecimal[][]matrix1 = { |
| 124 | + {newBigDecimal(1),newBigDecimal(4)}, |
| 125 | + {newBigDecimal(5),newBigDecimal(6)}, |
| 126 | + }; |
| 127 | + |
| 128 | +finalBigDecimal[][]matrix2 = { |
| 129 | + {newBigDecimal(2),newBigDecimal(0)}, |
| 130 | + {newBigDecimal(-2),newBigDecimal(-3)}, |
| 131 | + }; |
| 132 | + |
| 133 | +finalBigDecimal[][]actual =subtract(matrix1,matrix2) |
| 134 | + .orElseThrow(() ->newAssertionError("Could not compute matrix!")); |
| 135 | + |
| 136 | +finalBigDecimal[][]expected = { |
| 137 | + {newBigDecimal(-1),newBigDecimal(4)}, |
| 138 | + {newBigDecimal(7),newBigDecimal(9)} |
| 139 | + }; |
| 140 | + |
| 141 | +assertThat(actual,expected); |
| 142 | + } |
| 143 | + |
| 144 | + { |
| 145 | +finalBigDecimal[][]matrix1 = { |
| 146 | + {newBigDecimal(1),newBigDecimal(2),newBigDecimal(3)}, |
| 147 | + {newBigDecimal(4),newBigDecimal(5),newBigDecimal(6)}, |
| 148 | + {newBigDecimal(7),newBigDecimal(8),newBigDecimal(9)} |
| 149 | + }; |
| 150 | + |
| 151 | +finalBigDecimal[][]matrix2 = { |
| 152 | + {newBigDecimal(1),newBigDecimal(2)}, |
| 153 | + {newBigDecimal(3),newBigDecimal(4)}, |
| 154 | + {newBigDecimal(5),newBigDecimal(6)} |
| 155 | + }; |
| 156 | + |
| 157 | +finalBigDecimal[][]actual =multiply(matrix1,matrix2) |
| 158 | + .orElseThrow(() ->newAssertionError("Could not compute matrix!")); |
| 159 | + |
| 160 | +finalBigDecimal[][]expected = { |
| 161 | + {newBigDecimal(22),newBigDecimal(28)}, |
| 162 | + {newBigDecimal(49),newBigDecimal(64)}, |
| 163 | + {newBigDecimal(76),newBigDecimal(100)} |
| 164 | + }; |
| 165 | + |
| 166 | +assertThat(actual,expected); |
| 167 | + } |
| 168 | + } |
| 169 | +} |