feat: adds branch 2 logic

Author: DivitJain26

lib/node_modules/@stdlib/blas/base/ctrsv/lib/base.js

@@ -155,7 +155,47 @@ function ctrsv( uplo, trans, diag, N, A, strideA1, strideA2, offsetA, x, strideX
 		}
 		return x;
 	}
-	
+		if (
+		( !isrm && uplo === 'lower' && trans === 'no-transpose' ) ||
+		( isrm && uplo === 'upper' && trans !== 'no-transpose' )
+	) {
+		ix1 = ox;
+		for ( i1 = 0; i1 < N; i1++ ) {
+			rex = viewX[ ix1 ];
+			imx = viewX[ ix1 + 1 ];
+			if ( rex !== 0.0 || imx !== 0.0 ) {
+				oa2 = oa + ( sa1 * i1 );
+				if ( nonunit ) {
+					ia = oa2 + ( sa0 * i1 );
+					rea = viewA[ ia ];
+					ima = sign * viewA[ ia + 1 ];
+					magsq = f32( ( rea * rea ) + ( ima * ima ) );
+					retmp = f32( f32( ( rex * rea ) + ( imx * ima ) ) / magsq );
+					imtmp = f32( f32( ( imx * rea ) - ( rex * ima ) ) / magsq );
+					viewX[ ix1 ] = retmp;
+					viewX[ ix1 + 1 ] = imtmp;
+				} else {
+					retmp = rex;
+					imtmp = imx;
+				}
+				ix0 = ix1;
+				for ( i0 = i1 + 1; i0 < N; i0++ ) {
+					ix0 += sx;
+					ia = oa2 + ( sa0 * i0 );
+					rea = viewA[ ia ];
+					ima = sign * viewA[ ia + 1 ];
+					rex = viewX[ ix0 ];
+					imx = viewX[ ix0 + 1 ];
+					remul = f32( ( retmp * rea ) - ( imtmp * ima ) );
+					immul = f32( ( retmp * ima ) + ( imtmp * rea ) );
+					viewX[ ix0 ] = f32( rex - remul );
+					viewX[ ix0 + 1 ] = f32( imx - immul );
+				}
+			}
+			ix1 += sx;
+		}
+		return x;
+	}
 }