[FEAT] Matrix: Add cofactor
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@@ -208,16 +208,16 @@ double Matrix::determinant(void)
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/* ------------------------------------------------------------------------- */
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Matrix Matrix::sub_matrix(uint8_t a_rows, uint8_t a_cols)
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Matrix Matrix::sub_matrix(uint8_t a_row, uint8_t a_col)
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{
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Matrix the_sub = *this;
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the_sub.m_data.erase(the_sub.m_data.begin() + a_rows);
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the_sub.m_data.erase(the_sub.m_data.begin() + a_row);
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the_sub.m_rows--;
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for (int the_row = 0; the_row < the_sub.m_rows; the_row++)
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{
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the_sub.m_data[the_row].erase(the_sub.m_data[the_row].begin() + a_cols);
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the_sub.m_data[the_row].erase(the_sub.m_data[the_row].begin() + a_col);
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}
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the_sub.m_cols--;
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@@ -226,9 +226,23 @@ Matrix Matrix::sub_matrix(uint8_t a_rows, uint8_t a_cols)
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/* ------------------------------------------------------------------------- */
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double Matrix::minor(uint8_t a_rows, uint8_t a_cols)
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double Matrix::minor(uint8_t a_row, uint8_t a_col)
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{
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return sub_matrix(a_rows, a_cols).determinant();
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return sub_matrix(a_row, a_col).determinant();
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}
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/* ------------------------------------------------------------------------- */
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double Matrix::cofactor(uint8_t a_row, uint8_t a_col)
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{
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int8_t an_inverter = 1;
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if ((a_row + a_col) % 2 != 0)
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{
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an_inverter = -1;
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}
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return an_inverter * minor(a_row, a_col);
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}
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/* ------------------------------------------------------------------------- */
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@@ -61,8 +61,9 @@ namespace Raytracer
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bool transpose(void);
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double determinant(void);
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Matrix sub_matrix(uint8_t a_rows, uint8_t a_cols);
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double minor(uint8_t a_rows, uint8_t a_cols);
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Matrix sub_matrix(uint8_t a_row, uint8_t a_col);
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double minor(uint8_t a_row, uint8_t a_col);
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double cofactor(uint8_t a_row, uint8_t a_col);
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static Matrix identity(void);
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@@ -294,3 +294,19 @@ TEST_CASE("[Matrix] Calculating a minor of a 3x3 matrix", "[Matrix]")
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REQUIRE(a.minor(1, 0) == 25);
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Matrix] Calculating a cofactor of a 3x3 matrix", "[Matrix]")
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{
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Matrix a = {
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{3, 5, 0},
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{2, -1, -7},
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{6, -1, 5}
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};
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REQUIRE(a.minor(0, 0) == -12.0);
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REQUIRE(a.cofactor(0, 0) == -12.0);
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REQUIRE(a.minor(1, 0) == 25.0);
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REQUIRE(a.cofactor(1, 0) == -25.0);
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}
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