## Multiply / Divide a Vector by a Scalar.

The functionality of vector routines in this collection are routines which could be implemented for vectors (*n×1*or

*1×n*matrices) defined over an arbitrary Abelian group but the implementation presented here is for real vectors declared as

*double v[N]*or for dynamically defined vectors declared as

*double* v*and for complex vectors declared as

*double complex V[N]*or for dynamically defined complex vectors declared as

*double complex* v*.

The function for multiplying a real vector by a real scalar is

*Multiply_Vector_by_Scalar( )*and the function for multiplying a complex vector by a complex scalar is

*Multiply_CVector_by_Scalar( )*. There are special versions of this routine for the cases of the ubiquitous

*2*-d and

*3*-d vectors. There is also a special version of these routines when the scalar is -1 called

*Reflect_through_the_Origin( )*for a real vector and

*Reflect_through_the_cOrigin( )*for a complex vector. The function for dividing a real vector by a non-zero scalar is

*Divide_Vector_by_Scalar( )*and The function for dividing a complex vector by a non-zero complex scalar is

*Divide_CVector_by_Scalar( )*. There are also special versions of this routines for the cases of the ubiquitous

*2*-d and

*3*-d vectors.

### Function List

- void Multiply_Vector_by_Scalar( double v[ ], double x, int n )

Multiply the*n*-dim vector*v*by the scalar*x*, i.e.*v ← xv*.

- void Multiply_2d_Vector_by_Scalar( double v[ ], double x )

Multiply the*2d*vector*v*by the scalar*x*,*v ← xv*.

- void Multiply_3d_Vector_by_Scalar( double v[ ], double x )

Multiply the*3d*vector*v*by the scalar*x*, i.e.*v ← xv*.

- void Reflect_through_the_Origin( double v[ ], int n)

Multiply the*n*-dim vector*v*by the -1, i.e.*v ← -v*.

- void Reflect_through_the_Origin_2d( double v[ ] )

Multiply the*2d*vector*v*by the -1, i.e.*v ← -v*.

- void Reflect_through_the_Origin_3d( double v[ ] )

Multiply the*3d*vector*v*by the -1, i.e.*v ← -v*.

- void Divide_Vector_by_Scalar( double v[ ], double x, int n )

Divide the*n*-dim vector*v*by the scalar*x*, i.e.*v ← (1/x)v*.

- void Divide_2d_Vector_by_Scalar( double v[ ], double x )

Multiply the*2d*vector*v*by the scalar*x*, i.e.*v ← (1/x)v*.

- void Divide_3d_Vector_by_Scalar( double v[ ], double x )

Multiply the*3d*vector*v*by the scalar*x*, i.e.*v ← (1/x)v*.

- void Multiply_CVector_by_Scalar( double complex v[ ], double complex x, int n )

Multiply the*n*-dim complex vector*v*by the complex scalar*x*, i.e.*v ← xv*.

- void Multiply_2d_CVector_by_Scalar( double complex v[ ], double complex x )

Multiply the*2d*complex vector*v*by the complex scalar*x*,*v ← xv*.

- void Multiply_3d_CVector_by_Scalar( double complex v[ ], double complex x )

Multiply the*3d*complex vector*v*by the complex scalar*x*, i.e.*v ← xv*.

- void Reflect_through_the_cOrigin( double complex v[ ], int n)

Multiply the*n*-dim complex vector*v*by the -1, i.e.*v ← -v*.

- void Reflect_through_the_cOrigin_2d( double complex v[ ] )

Multiply the*2d*complex vector*v*by the -1, i.e.*v ← -v*.

- void Reflect_through_the_cOrigin_3d( double complex v[ ] )

Multiply the*3d*complex vector*v*by the -1, i.e.*v ← -v*.

- void Divide_CVector_by_Scalar( double complex v[ ], double complex x, int n )

Divide the*n*-dim complex vector*v*by the non-zero complex scalar*x*, i.e.*v ← (1/x)v*.

- void Divide_2d_CVector_by_Scalar( double complex v[ ], double complex x )

Multiply the*2d*complex vector*v*by the non-zero complex scalar*x*, i.e.*v ← (1/x)v*.

- void Divide_3d_CVector_by_Scalar( double complex v[ ], double complex x )

Multiply the*3d*complex vector*v*by the non-zero complex scalar*x*, i.e.*v ← (1/x)v*.

*C* Source Code

- The file, mul_vector_by_scalar.c, contains the version of Multiply_Vector_by_Scalar( ) written in
*C*.

- The file, mul_2d_vector_by_scalar.c, contains the version of Multiply_2d_Vector_by_Scalar( ) written in
*C*.

- The file, mul_3d_vector_by_scalar.c, contains the version of Multiply_3d_Vector_by_Scalar( ) written in
*C*.

- The file, reflect_thru_origin.c, contains the version of Reflect_through_the_Origin( ) written in
*C*.

- The file, reflect_thru_origin_2d.c, contains the version of Reflect_through_the_Origin_2d( ) written in
*C*.

- The file, reflect_thru_origin_3d.c, contains the version of Reflect_through_the_Origin_3d( ) written in
*C*.

- The file, div_vector_by_scalar.c, contains the version of Divide_Vector_by_Scalar( ) written in
*C*.

- The file, div_2d_vector_by_scalar.c, contains the version of Divide_2d_Vector_by_Scalar( ) written in
*C*.

- The file, div_3d_vector_by_scalar.c, contains the version of Divide_3d_Vector_by_Scalar( ) written in
*C*.

- The file, mul_cvector_by_scalar.c, contains the version of Multiply_CVector_by_Scalar( ) written in
*C*.

- The file, mul_2d_cvector_by_scalar.c, contains the version of Multiply_2d_CVector_by_Scalar( ) written in
*C*.

- The file, mul_3d_cvector_by_scalar.c, contains the version of Multiply_3d_CVector_by_Scalar( ) written in
*C*.

- The file, reflect_thru_corigin.c, contains the version of Reflect_through_the_cOrigin( ) written in
*C*.

- The file, reflect_thru_corigin_2d.c, contains the version of Reflect_through_the_cOrigin_2d( ) written in
*C*.

- The file, reflect_thru_corigin_3d.c, contains the version of Reflect_through_the_cOrigin_3d( ) written in
*C*.

- The file, div_cvector_by_scalar.c, contains the version of Divide_CVector_by_Scalar( ) written in
*C*.

- The file, div_2d_cvector_by_scalar.c, contains the version of Divide_2d_CVector_by_Scalar( ) written in
*C*.

- The file, div_3d_cvector_by_scalar.c, contains the version of Divide_3d_CVector_by_Scalar( ) written in
*C*.

*C* Source Code - Macros

As a rule, the macros presented here are faster and require less memory than either the *C*version or the

*NASM*version of the corresponding routines. The major draw back is that when calling these macros DO NOT use expressions for the arguments. I.e. do not call MyMacro(&A[2], n+m) but rather set variables

*double * pA*,

*int k*then set

*pA = A + 2; k = n+m;*and then call the macro MyMacro(pA,k). It would be easy to change the macro to allow such expressions but in general not all versions of

*C*have a

*typeof*"keyword" which would facilitate the changes and moreover make the macro run slower. For

*C*compilers which have the

*inline*keyword, a better alternative would be to make the corresponding

*C*functions inline.

- The file, mul_2d_vector_by_scalar.h, contains the version of Multiply_2d_Vector_by_Scalar( ) written as a macro. This macro is also suitable for multiplying 2-d complex vectors by a real or complex scalar.

- The file, mul_3d_vector_by_scalar.h, contains the version of Multiply_3d_Vector_by_Scalar( ) written as a macro. This macro is also suitable for multiplying 3-d complex vectors by a real or complex scalar.

- The file, reflect_thru_origin_2d.h, contains the version of Reflect_through_the_Origin_2d( ) written as a macro. This macro is also suitable for reflecting 2-d complex vectors through the origin.

- The file, reflect_thru_origin_3d.h, contains the version of Reflect_through_the_Origin_2d( ) written as a macro. This macro is also suitable for reflecting 3-d complex vectors through the origin.

- The file, div_2d_vector_by_scalar.h, contains the version of Divide_2d_Vector_by_Scalar( ) written as a macro.

- The file, div_3d_vector_by_scalar.h, contains the version of Divide_3d_Vector_by_Scalar( ) written as a macro.

- The file, div_2d_cvector_by_scalar.h, contains the version of Divide_2d_CVector_by_Scalar( ) written as a macro.

- The file, div_3d_cvector_by_scalar.h, contains the version of Divide_3d_CVector_by_Scalar( ) written as a macro.

*NASM* Source Code

For Linux gcc Users

- The file, mul_vector_by_scalar.asm, contains the version of Multiply_Vector_by_Scalar( ) written in
*NASM*.

- The file, mul_2d_vector_by_scalar.asm, contains the version of Multiply_2d_Vector_by_Scalar( ) written in
*NASM*.

- The file, mul_3d_vector_by_scalar.asm, contains the version of Multiply_3d_Vector_by_Scalar( ) written in
*NASM*.

- The file, reflect_thru_origin.asm, contains the version of Reflect_through_the_Origin( ) written in
*NASM*.

- The file, reflect_thru_origin_2d.asm, contains the version of Reflect_through_the_Origin_2d( ) written in
*NASM*.

- The file, reflect_thru_origin_3d.asm, contains the version of Reflect_through_the_Origin_3d( ) written in
*NASM*.

- The file, div_vector_by_scalar.asm, contains the version of Divide_Vector_by_Scalar( ) written in
*NASM*.

- The file, div_2d_vector_by_scalar.asm, contains the version of Divide_2d_Vector_by_Scalar( ) written in
*NASM*.

- The file, div_3d_vector_by_scalar.asm, contains the version of Divide_3d_Vector_by_Scalar( ) written in
*NASM*.

*C* Source Code Tests, Test Results, and Build Shell Scripts

- The file, testmulvectorbyscalar.c, contains a test program of Multiply_Vector_by_Scalar( ) in the file
*mul_vector_by_scalar.c*. This test program requires the file*mul_vector_by_scalar.c*listed above.

- The file, MultiplyVectorbyScalarTest.txt, contains the results of the test program testmulvectorbyscalar.c.

- The file, testmulvectorbyscalar.sh, contains the shell script used to compile, link, and execute the test program testmulvectorbyscalar.c.

- The file, testmul2dvectorbyscalar.c, contains a test program of Multiply_2d_Vector_by_Scalar( ) in the file
*mul_2d_vector_by_scalar.c*. This test program requires the file*mul_2d_vector_by_scalar.c*listed above.

- The file, Multiply2dVectorbyScalarTest.txt, contains the results of the test program testmul2dvectorbyscalar.c.

- The file, testmul2dvectorbyscalar.sh, contains the shell script used to compile, link, and execute the test program testmul2dvectorbyscalar.c.

- The file, testmul3dvectorbyscalar.c, contains a test program of Multiply_3d_Vector_by_Scalar( ) in the file
*mul_3d_vector_by_scalar.c*. This test program requires the file*mul_3d_vector_by_scalar.c*listed above.

- The file, Multiply3dVectorbyScalarTest.txt, contains the results of the test program testmul3dvectorbyscalar.c.

- The file, testmul3dvectorbyscalar.sh, contains the shell script used to compile, link, and execute the test program testmul3dvectorbyscalar.c.

- The file, testreflectthruorigin.c, contains a test program of Reflect_through_the_Origin( ) in the file
*reflect_thru_origin.c*. This test program requires the file*reflect_thru_origin.c*listed above.

- The file, ReflectthrutheOriginTest.txt, contains the results of the test program testreflectthruorigin.c.

- The file, testreflectthruorigin.sh, contains the shell script used to compile, link, and execute the test program testreflectthruorigin.c.

- The file, testreflectthruorigin2d.c, contains a test program of Reflect_through_the_Origin_2d( ) in the file
*reflect_thru_origin_2d.c*. This test program requires the file*reflect_thru_origin_2d.c*listed above.

- The file, ReflectthrutheOrigin2dTest.txt, contains the results of the test program testreflectthruorigin2d.c.

- The file, testreflectthruorigin2d.sh, contains the shell script used to compile, link, and execute the test program testreflectthruorigin2d.c.

- The file, testreflectthruorigin3d.c, contains a test program of Reflect_through_the_Origin_3d( ) in the file
*reflect_thru_origin_3d.c*. This test program requires the file*reflect_thru_origin_3d.c*listed above.

- The file, ReflectthrutheOrigin3dTest.txt, contains the results of the test program testreflectthruorigin3d.c.

- The file, testreflectthruorigin3d.sh, contains the shell script used to compile, link, and execute the test program testreflectthruorigin3d.c.

- The file, testdivvectorbyscalar.c, contains a test program of Divide_Vector_by_Scalar( ) in the file
*div_vector_by_scalar.c*. This test program requires the file*div_vector_by_scalar.c*listed above.

- The file, DivideVectorbyScalarTest.txt, contains the results of the test program testdivvectorbyscalar.c.

- The file, testdivvectorbyscalar.sh, contains the shell script used to compile, link, and execute the test program testdivvectorbyscalar.c.

- The file, testdiv2dvectorbyscalar.c, contains a test program of Divide_2d_Vector_by_Scalar( ) in the file
*div_2d_vector_by_scalar.c*. This test program requires the file*div_2d_vector_by_scalar.c*listed above.

- The file, Divide2dVectorbyScalarTest.txt, contains the results of the test program testdiv2dvectorbyscalar.c.

- The file, testdiv2dvectorbyscalar.sh, contains the shell script used to compile, link, and execute the test program testdiv2dvectorbyscalar.c.

- The file, testdiv3dvectorbyscalar.c, contains a test program of Divide_3d_Vector_by_Scalar( ) in the file
*div_3d_vector_by_scalar.c*. This test program requires the file*div_3d_vector_by_scalar.c*listed above.

- The file, Divide3dVectorbyScalarTest.txt, contains the results of the test program testdiv3dvectorbyscalar.c.

- The file, testdiv3dvectorbyscalar.sh, contains the shell script used to compile, link, and execute the test program testdiv3dvectorbyscalar.c.

- The file, testmulcvectorbyscalar.c, contains a test program of Multiply_CVector_by_Scalar( ) in the file
*mul_cvector_by_scalar.c*. This test program requires the file*mul_cvector_by_scalar.c*listed above.

- The file, MultiplyCVectorbyScalarTest.txt, contains the results of the test program testmulcvectorbyscalar.c.

- The file, testmulcvectorbyscalar.sh, contains the shell script used to compile, link, and execute the test program testmulcvectorbyscalar.c.

- The file, testmul2dcvectorbyscalar.c, contains a test program of Multiply_2d_CVector_by_Scalar( ) in the file
*mul_2d_cvector_by_scalar.c*. This test program requires the file*mul_2d_cvector_by_scalar.c*listed above.

- The file, Multiply2dCVectorbyScalarTest.txt, contains the results of the test program testmul2dcvectorbyscalar.c.

- The file, testmul2dcvectorbyscalar.sh, contains the shell script used to compile, link, and execute the test program testmul2dcvectorbyscalar.c.

- The file, testmul3dcvectorbyscalar.c, contains a test program of Multiply_3d_CVector_by_Scalar( ) in the file
*mul_3d_cvector_by_scalar.c*. This test program requires the file*mul_3d_cvector_by_scalar.c*listed above.

- The file, Multiply3dCVectorbyScalarTest.txt, contains the results of the test program testmul3dcvectorbyscalar.c.

- The file, testmul3dcvectorbyscalar.sh, contains the shell script used to compile, link, and execute the test program testmul3dcvectorbyscalar.c.

- The file, testreflectthrucorigin.c, contains a test program of Reflect_through_the_cOrigin( ) in the file
*reflect_thru_corigin.c*. This test program requires the file*reflect_thru_corigin.c*listed above.

- The file, ReflectthrutheCOriginTest.txt, contains the results of the test program testreflectthrucorigin.c.

- The file, testreflectthruorigin.sh, contains the shell script used to compile, link, and execute the test program testreflectthrucorigin.c.

- The file, testreflectthrucorigin2d.c, contains a test program of Reflect_through_the_cOrigin_2d( ) in the file
*reflect_thru_corigin_2d.c*. This test program requires the file*reflect_thru_corigin_2d.c*listed above.

- The file, ReflectthrutheCOrigin2dTest.txt, contains the results of the test program testreflectthrucorigin2d.c.

- The file, testreflectthrucorigin2d.sh, contains the shell script used to compile, link, and execute the test program testreflectthrucorigin2d.c.

- The file, testreflectthrucorigin3d.c, contains a test program of Reflect_through_the_cOrigin_3d( ) in the file
*reflect_thru_corigin_3d.c*. This test program requires the file*reflect_thru_corigin_3d.c*listed above.

- The file, ReflectthrutheCOrigin3dTest.txt, contains the results of the test program testreflectthrucorigin3d.c.

- The file, testreflectthrucorigin3d.sh, contains the shell script used to compile, link, and execute the test program testreflectthrucorigin3d.c.

- The file, testdivcvectorbyscalar.c, contains a test program of Divide_CVector_by_Scalar( ) in the file
*div_cvector_by_scalar.c*. This test program requires the file*div_cvector_by_scalar.c*listed above.

- The file, DivideCVectorbyScalarTest.txt, contains the results of the test program testdivcvectorbyscalar.c.

- The file, testdivcvectorbyscalar.sh, contains the shell script used to compile, link, and execute the test program testdivcvectorbyscalar.c.

- The file, testdiv2dcvectorbyscalar.c, contains a test program of Divide_2d_CVector_by_Scalar( ) in the file
*div_2d_cvector_by_scalar.c*. This test program requires the file*div_2d_cvector_by_scalar.c*listed above.

- The file, Divide2dCVectorbyScalarTest.txt, contains the results of the test program testdiv2dcvectorbyscalar.c.

- The file, testdiv2dcvectorbyscalar.sh, contains the shell script used to compile, link, and execute the test program testdiv2dcvectorbyscalar.c.

- The file, testdiv3dcvectorbyscalar.c, contains a test program of Divide_3d_CVector_by_Scalar( ) in the file
*div_3d_cvector_by_scalar.c*. This test program requires the file*div_3d_cvector_by_scalar.c*listed above.

- The file, Divide3dCVectorbyScalarTest.txt, contains the results of the test program testdiv3dcvectorbyscalar.c.

- The file, testdiv3dcvectorbyscalar.sh, contains the shell script used to compile, link, and execute the test program testdiv3dcvectorbyscalar.c.

*C* Macros Tests, Test Results, and Build Shell Scripts

- The file, testmul2dvectorbyscalar_h.c, contains a test program of the macro Multiply_2d_Vector_by_Scalar( ) in the file
*mul_2d_vector_by_scalar.h*. This test program requires the file*mul_2d_vector_by_scalar.h*listed above.

- The file, Multiply2dVectorbyScalar_hTest.txt, contains the results of the test program testmul2dvectorbyscalar_h.c.

- The file, testmul2dvectorbyscalar_h.sh, contains the shell script used to compile, link, and execute the test program testmul2dvectorbyscalar_h.c.

- The file, testmul3dvectorbyscalar_h.c, contains a test program of the macro Multiply_3d_Vector_by_Scalar( ) in the file
*mul_3d_vector_by_scalar.h*. This test program requires the file*mul_3d_vector_by_scalar.h*listed above.

- The file, Multiply3dVectorbyScalar_hTest.txt, contains the results of the test program testmul3dvectorbyscalar_h.c.

- The file, testmul3dvectorbyscalar_h.sh, contains the shell script used to compile, link, and execute the test program testmul3dvectorbyscalar_h.c.

- The file, testreflectthruorigin2d_h.c, contains a test program of the macro Reflect_through_the_Origin_2d( ) in the file
*reflect_thru_origin_2d.h*. This test program requires the file*reflect_thru_origin_2d.h*listed above.

- The file, ReflectthrutheOrigin2d_hTest.txt, contains the results of the test program testreflectthruorigin2d_h.c.

- The file, testreflectthruorigin2d_h.sh, contains the shell script used to compile, link, and execute the test program testreflectthruorigin2d_h.c.

- The file, testreflectthruorigin3d_h.c, contains a test program of the macro Reflect_through_the_Origin_3d( ) in the file
*reflect_thru_origin_3d.h*. This test program requires the file*reflect_thru_origin_3d.h*listed above.

- The file, ReflectthrutheOrigin3d_hTest.txt, contains the results of the test program testreflectthruorigin3d_h.c.

- The file, testreflectthruorigin3d_h.sh, contains the shell script used to compile, link, and execute the test program testreflectthruorigin3d_h.c.

- The file, testdiv2dvectorbyscalar_h.c, contains a test program of the macro Divide_2d_Vector_by_Scalar( ) in the file
*div_2d_vector_by_scalar.h*. This test program requires the file*div_2d_vector_by_scalar.h*listed above.

- The file, Divide2dVectorbyScalar_hTest.txt, contains the results of the test program testdiv2dvectorbyscalar_h.c.

- The file, testdiv2dvectorbyscalar_h.sh, contains the shell script used to compile, link, and execute the test program testdiv2dvectorbyscalar_h.c.

- The file, testdiv3dvectorbyscalar_h.c, contains a test program of the macro Divide_3d_Vector_by_Scalar( ) in the file
*div_3d_vector_by_scalar.h*. This test program requires the file*div_3d_vector_by_scalar.h*listed above.

- The file, Divide3dVectorbyScalar_hTest.txt, contains the results of the test program testdiv3dvectorbyscalar_h.c.

- The file, testdiv3dvectorbyscalar_h.sh, contains the shell script used to compile, link, and execute the test program testdiv3dvectorbyscalar_h.c.

- The file, testmul2dcvectorbyscalar_h.c, contains a test program of the macro Multiply_2d_Vector_by_Scalar( ) in the file
*mul_2d_vector_by_scalar.h*for the case in which the arguments are the same as in*mul_2d_cvector_by_scalar.c*. This test program requires the file*mul_2d_vector_by_scalar.h*listed above.

- The file, Multiply2dCVectorbyScalar_hTest.txt, contains the results of the test program testmul2dcvectorbyscalar_h.c.

- The file, testmul2dcvectorbyscalar_h.sh, contains the shell script used to compile, link, and execute the test program testmul2dcvectorbyscalar_h.c.

- The file, testmul3dcvectorbyscalar_h.c, contains a test program of the macro Multiply_3d_Vector_by_Scalar( ) in the file
*mul_3d_vector_by_scalar.h*for the case in which the arguments are the same as in*mul_3d_cvector_by_scalar.c*. This test program requires the file*mul_3d_vector_by_scalar.h*listed above.

- The file, Multiply3dCVectorbyScalar_hTest.txt, contains the results of the test program testmul3dcvectorbyscalar_h.c.

- The file, testmul3dcvectorbyscalar_h.sh, contains the shell script used to compile, link, and execute the test program testmul3dcvectorbyscalar_h.c.

- The file, testreflectthrucorigin2d_h.c, contains a test program of the macro Reflect_through_the_Origin_2d( ) in the file
*reflect_thru_origin_2d.h*for the case in which the arguments are the same as in*reflect_thru_corigin_2d.c*. This test program requires the file*reflect_thru_origin_2d.h*listed above.

- The file, ReflectthrutheCOrigin2d_hTest.txt, contains the results of the test program testreflectthrucorigin2d_h.c.

- The file, testreflectthrucorigin2d_h.sh, contains the shell script used to compile, link, and execute the test program testreflectthrucorigin2d_h.c.

- The file, testreflectthruorigin3d_h.c, contains a test program of the macro Reflect_through_the_Origin_3d( ) in the file
*reflect_thru_origin_3d.h*for the case in which the arguments are the same as in*reflect_thru_corigin_3d.c*. This test program requires the file*reflect_thru_origin_3d.h*listed above.

- The file, ReflectthrutheOrigin3d_hTest.txt, contains the results of the test program testreflectthruorigin3d_h.c.

- The file, testreflectthruorigin3d_h.sh, contains the shell script used to compile, link, and execute the test program testreflectthruorigin3d_h.c.

- The file, testdiv2dcvectorbyscalar_h.c, contains a test program of the macro Divide_2d_CVector_by_Scalar( ) in the file
*div_2d_cvector_by_scalar.h*. This test program requires the file*div_2d_cvector_by_scalar.h*listed above.

- The file, Divide2dCVectorbyScalar_hTest.txt, contains the results of the test program testdiv2dcvectorbyscalar_h.c.

- The file, testdiv2dcvectorbyscalar_h.sh, contains the shell script used to compile, link, and execute the test program testdiv2dcvectorbyscalar_h.c.

- The file, testdiv3dcvectorbyscalar_h.c, contains a test program of the macro Divide_3d_CVector_by_Scalar( ) in the file
*div_3d_cvector_by_scalar.h*. This test program requires the file*div_3d_cvector_by_scalar.h*listed above.

- The file, Divide3dCVectorbyScalar_hTest.txt, contains the results of the test program testdiv3dcvectorbyscalar_h.c.

- The file, testdiv3dcvectorbyscalar_h.sh, contains the shell script used to compile, link, and execute the test program testdiv3dcvectorbyscalar_h.c.