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<center><a href="https://gitlab.com/petsc/petsc/-/blob/966382dc56242773704ef5f5cee7aa2db3ebc577/include/petscmath.h">Actual source code: petscmath.h</a></center><br>
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<a name="line1"> 1: </a><font color="#B22222">/*</font>
<a name="line2"> 2: </a><font color="#B22222"> PETSc mathematics include file. Defines certain basic mathematical</font>
<a name="line3"> 3: </a><font color="#B22222"> constants and functions for working with single, double, and quad precision</font>
<a name="line4"> 4: </a><font color="#B22222"> floating point numbers as well as complex single and double.</font>
<a name="line6"> 6: </a><font color="#B22222"> This file is included by petscsys.h and should not be used directly.</font>
<a name="line7"> 7: </a><font color="#B22222">*/</font>
<a name="line8"> 8: </a><font color="#A020F0">#pragma once</font>
<a name="line10"> 10: </a><font color="#A020F0">#include <math.h></font>
<a name="line11"> 11: </a>#include <A href="../include/petscmacros.h.html"><petscmacros.h></A>
<a name="line12"> 12: </a>#include <A href="../include/petscsystypes.h.html"><petscsystypes.h></A>
<a name="line14"> 14: </a><font color="#B22222">/* SUBMANSEC = Sys */</font>
<a name="line16"> 16: </a><font color="#B22222">/*</font>
<a name="line17"> 17: </a><font color="#B22222"> Defines operations that are different for complex and real numbers.</font>
<a name="line18"> 18: </a><font color="#B22222"> All PETSc objects in one program are built around the object</font>
<a name="line19"> 19: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> which is either always a real or a complex.</font>
<a name="line20"> 20: </a><font color="#B22222">*/</font>
<a name="line22"> 22: </a><font color="#B22222">/*</font>
<a name="line23"> 23: </a><font color="#B22222"> Real number definitions</font>
<a name="line24"> 24: </a><font color="#B22222"> */</font>
<a name="line25"> 25: </a><font color="#A020F0">#if defined(PETSC_USE_REAL_SINGLE)</font>
<a name="line26"> 26: </a><strong><font color="#228B22"> #define PetscSqrtReal(a) sqrtf(a)</font></strong>
<a name="line27"> 27: </a><strong><font color="#228B22"> #define PetscCbrtReal(a) cbrtf(a)</font></strong>
<a name="line28"> 28: </a><strong><font color="#228B22"> #define PetscHypotReal(a, b) hypotf(a, b)</font></strong>
<a name="line29"> 29: </a><strong><font color="#228B22"> #define PetscAtan2Real(a, b) atan2f(a, b)</font></strong>
<a name="line30"> 30: </a><strong><font color="#228B22"> #define PetscPowReal(a, b) powf(a, b)</font></strong>
<a name="line31"> 31: </a><strong><font color="#228B22"> #define PetscExpReal(a) expf(a)</font></strong>
<a name="line32"> 32: </a><strong><font color="#228B22"> #define PetscLogReal(a) logf(a)</font></strong>
<a name="line33"> 33: </a><strong><font color="#228B22"> #define PetscLog10Real(a) log10f(a)</font></strong>
<a name="line34"> 34: </a><strong><font color="#228B22"> #define PetscLog2Real(a) log2f(a)</font></strong>
<a name="line35"> 35: </a><strong><font color="#228B22"> #define PetscSinReal(a) sinf(a)</font></strong>
<a name="line36"> 36: </a><strong><font color="#228B22"> #define PetscCosReal(a) cosf(a)</font></strong>
<a name="line37"> 37: </a><strong><font color="#228B22"> #define PetscTanReal(a) tanf(a)</font></strong>
<a name="line38"> 38: </a><strong><font color="#228B22"> #define PetscAsinReal(a) asinf(a)</font></strong>
<a name="line39"> 39: </a><strong><font color="#228B22"> #define PetscAcosReal(a) acosf(a)</font></strong>
<a name="line40"> 40: </a><strong><font color="#228B22"> #define PetscAtanReal(a) atanf(a)</font></strong>
<a name="line41"> 41: </a><strong><font color="#228B22"> #define PetscSinhReal(a) sinhf(a)</font></strong>
<a name="line42"> 42: </a><strong><font color="#228B22"> #define PetscCoshReal(a) coshf(a)</font></strong>
<a name="line43"> 43: </a><strong><font color="#228B22"> #define PetscTanhReal(a) tanhf(a)</font></strong>
<a name="line44"> 44: </a><strong><font color="#228B22"> #define PetscAsinhReal(a) asinhf(a)</font></strong>
<a name="line45"> 45: </a><strong><font color="#228B22"> #define PetscAcoshReal(a) acoshf(a)</font></strong>
<a name="line46"> 46: </a><strong><font color="#228B22"> #define PetscAtanhReal(a) atanhf(a)</font></strong>
<a name="line47"> 47: </a><strong><font color="#228B22"> #define PetscErfReal(a) erff(a)</font></strong>
<a name="line48"> 48: </a><strong><font color="#228B22"> #define PetscCeilReal(a) ceilf(a)</font></strong>
<a name="line49"> 49: </a><strong><font color="#228B22"> #define PetscFloorReal(a) floorf(a)</font></strong>
<a name="line50"> 50: </a><strong><font color="#228B22"> #define PetscRintReal(a) rintf(a)</font></strong>
<a name="line51"> 51: </a><strong><font color="#228B22"> #define PetscFmodReal(a, b) fmodf(a, b)</font></strong>
<a name="line52"> 52: </a><strong><font color="#228B22"> #define PetscCopysignReal(a, b) copysignf(a, b)</font></strong>
<a name="line53"> 53: </a><strong><font color="#228B22"> #define PetscTGamma(a) tgammaf(a)</font></strong>
<a name="line54"> 54: </a><font color="#A020F0"> #if defined(PETSC_HAVE_LGAMMA_IS_GAMMA)</font>
<a name="line55"> 55: </a><strong><font color="#228B22"> #define PetscLGamma(a) gammaf(a)</font></strong>
<a name="line56"> 56: </a><font color="#A020F0"> #else</font>
<a name="line57"> 57: </a><strong><font color="#228B22"> #define PetscLGamma(a) lgammaf(a)</font></strong>
<a name="line58"> 58: </a><font color="#A020F0"> #endif</font>
<a name="line60"> 60: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL_DOUBLE)</font>
<a name="line61"> 61: </a><strong><font color="#228B22"> #define PetscSqrtReal(a) sqrt(a)</font></strong>
<a name="line62"> 62: </a><strong><font color="#228B22"> #define PetscCbrtReal(a) cbrt(a)</font></strong>
<a name="line63"> 63: </a><strong><font color="#228B22"> #define PetscHypotReal(a, b) hypot(a, b)</font></strong>
<a name="line64"> 64: </a><strong><font color="#228B22"> #define PetscAtan2Real(a, b) atan2(a, b)</font></strong>
<a name="line65"> 65: </a><strong><font color="#228B22"> #define PetscPowReal(a, b) pow(a, b)</font></strong>
<a name="line66"> 66: </a><strong><font color="#228B22"> #define PetscExpReal(a) exp(a)</font></strong>
<a name="line67"> 67: </a><strong><font color="#228B22"> #define PetscLogReal(a) log(a)</font></strong>
<a name="line68"> 68: </a><strong><font color="#228B22"> #define PetscLog10Real(a) log10(a)</font></strong>
<a name="line69"> 69: </a><strong><font color="#228B22"> #define PetscLog2Real(a) log2(a)</font></strong>
<a name="line70"> 70: </a><strong><font color="#228B22"> #define PetscSinReal(a) sin(a)</font></strong>
<a name="line71"> 71: </a><strong><font color="#228B22"> #define PetscCosReal(a) cos(a)</font></strong>
<a name="line72"> 72: </a><strong><font color="#228B22"> #define PetscTanReal(a) tan(a)</font></strong>
<a name="line73"> 73: </a><strong><font color="#228B22"> #define PetscAsinReal(a) asin(a)</font></strong>
<a name="line74"> 74: </a><strong><font color="#228B22"> #define PetscAcosReal(a) acos(a)</font></strong>
<a name="line75"> 75: </a><strong><font color="#228B22"> #define PetscAtanReal(a) atan(a)</font></strong>
<a name="line76"> 76: </a><strong><font color="#228B22"> #define PetscSinhReal(a) sinh(a)</font></strong>
<a name="line77"> 77: </a><strong><font color="#228B22"> #define PetscCoshReal(a) cosh(a)</font></strong>
<a name="line78"> 78: </a><strong><font color="#228B22"> #define PetscTanhReal(a) tanh(a)</font></strong>
<a name="line79"> 79: </a><strong><font color="#228B22"> #define PetscAsinhReal(a) asinh(a)</font></strong>
<a name="line80"> 80: </a><strong><font color="#228B22"> #define PetscAcoshReal(a) acosh(a)</font></strong>
<a name="line81"> 81: </a><strong><font color="#228B22"> #define PetscAtanhReal(a) atanh(a)</font></strong>
<a name="line82"> 82: </a><strong><font color="#228B22"> #define PetscErfReal(a) erf(a)</font></strong>
<a name="line83"> 83: </a><strong><font color="#228B22"> #define PetscCeilReal(a) ceil(a)</font></strong>
<a name="line84"> 84: </a><strong><font color="#228B22"> #define PetscFloorReal(a) floor(a)</font></strong>
<a name="line85"> 85: </a><strong><font color="#228B22"> #define PetscRintReal(a) rint(a)</font></strong>
<a name="line86"> 86: </a><strong><font color="#228B22"> #define PetscFmodReal(a, b) fmod(a, b)</font></strong>
<a name="line87"> 87: </a><strong><font color="#228B22"> #define PetscCopysignReal(a, b) copysign(a, b)</font></strong>
<a name="line88"> 88: </a><strong><font color="#228B22"> #define PetscTGamma(a) tgamma(a)</font></strong>
<a name="line89"> 89: </a><font color="#A020F0"> #if defined(PETSC_HAVE_LGAMMA_IS_GAMMA)</font>
<a name="line90"> 90: </a><strong><font color="#228B22"> #define PetscLGamma(a) gamma(a)</font></strong>
<a name="line91"> 91: </a><font color="#A020F0"> #else</font>
<a name="line92"> 92: </a><strong><font color="#228B22"> #define PetscLGamma(a) lgamma(a)</font></strong>
<a name="line93"> 93: </a><font color="#A020F0"> #endif</font>
<a name="line95"> 95: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL___FLOAT128)</font>
<a name="line96"> 96: </a><strong><font color="#228B22"> #define PetscSqrtReal(a) sqrtq(a)</font></strong>
<a name="line97"> 97: </a><strong><font color="#228B22"> #define PetscCbrtReal(a) cbrtq(a)</font></strong>
<a name="line98"> 98: </a><strong><font color="#228B22"> #define PetscHypotReal(a, b) hypotq(a, b)</font></strong>
<a name="line99"> 99: </a><strong><font color="#228B22"> #define PetscAtan2Real(a, b) atan2q(a, b)</font></strong>
<a name="line100">100: </a><strong><font color="#228B22"> #define PetscPowReal(a, b) powq(a, b)</font></strong>
<a name="line101">101: </a><strong><font color="#228B22"> #define PetscExpReal(a) expq(a)</font></strong>
<a name="line102">102: </a><strong><font color="#228B22"> #define PetscLogReal(a) logq(a)</font></strong>
<a name="line103">103: </a><strong><font color="#228B22"> #define PetscLog10Real(a) log10q(a)</font></strong>
<a name="line104">104: </a><strong><font color="#228B22"> #define PetscLog2Real(a) log2q(a)</font></strong>
<a name="line105">105: </a><strong><font color="#228B22"> #define PetscSinReal(a) sinq(a)</font></strong>
<a name="line106">106: </a><strong><font color="#228B22"> #define PetscCosReal(a) cosq(a)</font></strong>
<a name="line107">107: </a><strong><font color="#228B22"> #define PetscTanReal(a) tanq(a)</font></strong>
<a name="line108">108: </a><strong><font color="#228B22"> #define PetscAsinReal(a) asinq(a)</font></strong>
<a name="line109">109: </a><strong><font color="#228B22"> #define PetscAcosReal(a) acosq(a)</font></strong>
<a name="line110">110: </a><strong><font color="#228B22"> #define PetscAtanReal(a) atanq(a)</font></strong>
<a name="line111">111: </a><strong><font color="#228B22"> #define PetscSinhReal(a) sinhq(a)</font></strong>
<a name="line112">112: </a><strong><font color="#228B22"> #define PetscCoshReal(a) coshq(a)</font></strong>
<a name="line113">113: </a><strong><font color="#228B22"> #define PetscTanhReal(a) tanhq(a)</font></strong>
<a name="line114">114: </a><strong><font color="#228B22"> #define PetscAsinhReal(a) asinhq(a)</font></strong>
<a name="line115">115: </a><strong><font color="#228B22"> #define PetscAcoshReal(a) acoshq(a)</font></strong>
<a name="line116">116: </a><strong><font color="#228B22"> #define PetscAtanhReal(a) atanhq(a)</font></strong>
<a name="line117">117: </a><strong><font color="#228B22"> #define PetscErfReal(a) erfq(a)</font></strong>
<a name="line118">118: </a><strong><font color="#228B22"> #define PetscCeilReal(a) ceilq(a)</font></strong>
<a name="line119">119: </a><strong><font color="#228B22"> #define PetscFloorReal(a) floorq(a)</font></strong>
<a name="line120">120: </a><strong><font color="#228B22"> #define PetscRintReal(a) rintq(a)</font></strong>
<a name="line121">121: </a><strong><font color="#228B22"> #define PetscFmodReal(a, b) fmodq(a, b)</font></strong>
<a name="line122">122: </a><strong><font color="#228B22"> #define PetscCopysignReal(a, b) copysignq(a, b)</font></strong>
<a name="line123">123: </a><strong><font color="#228B22"> #define PetscTGamma(a) tgammaq(a)</font></strong>
<a name="line124">124: </a><font color="#A020F0"> #if defined(PETSC_HAVE_LGAMMA_IS_GAMMA)</font>
<a name="line125">125: </a><strong><font color="#228B22"> #define PetscLGamma(a) gammaq(a)</font></strong>
<a name="line126">126: </a><font color="#A020F0"> #else</font>
<a name="line127">127: </a><strong><font color="#228B22"> #define PetscLGamma(a) lgammaq(a)</font></strong>
<a name="line128">128: </a><font color="#A020F0"> #endif</font>
<a name="line130">130: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL___FP16)</font>
<a name="line131">131: </a><strong><font color="#228B22"> #define PetscSqrtReal(a) sqrtf(a)</font></strong>
<a name="line132">132: </a><strong><font color="#228B22"> #define PetscCbrtReal(a) cbrtf(a)</font></strong>
<a name="line133">133: </a><strong><font color="#228B22"> #define PetscHypotReal(a, b) hypotf(a, b)</font></strong>
<a name="line134">134: </a><strong><font color="#228B22"> #define PetscAtan2Real(a, b) atan2f(a, b)</font></strong>
<a name="line135">135: </a><strong><font color="#228B22"> #define PetscPowReal(a, b) powf(a, b)</font></strong>
<a name="line136">136: </a><strong><font color="#228B22"> #define PetscExpReal(a) expf(a)</font></strong>
<a name="line137">137: </a><strong><font color="#228B22"> #define PetscLogReal(a) logf(a)</font></strong>
<a name="line138">138: </a><strong><font color="#228B22"> #define PetscLog10Real(a) log10f(a)</font></strong>
<a name="line139">139: </a><strong><font color="#228B22"> #define PetscLog2Real(a) log2f(a)</font></strong>
<a name="line140">140: </a><strong><font color="#228B22"> #define PetscSinReal(a) sinf(a)</font></strong>
<a name="line141">141: </a><strong><font color="#228B22"> #define PetscCosReal(a) cosf(a)</font></strong>
<a name="line142">142: </a><strong><font color="#228B22"> #define PetscTanReal(a) tanf(a)</font></strong>
<a name="line143">143: </a><strong><font color="#228B22"> #define PetscAsinReal(a) asinf(a)</font></strong>
<a name="line144">144: </a><strong><font color="#228B22"> #define PetscAcosReal(a) acosf(a)</font></strong>
<a name="line145">145: </a><strong><font color="#228B22"> #define PetscAtanReal(a) atanf(a)</font></strong>
<a name="line146">146: </a><strong><font color="#228B22"> #define PetscSinhReal(a) sinhf(a)</font></strong>
<a name="line147">147: </a><strong><font color="#228B22"> #define PetscCoshReal(a) coshf(a)</font></strong>
<a name="line148">148: </a><strong><font color="#228B22"> #define PetscTanhReal(a) tanhf(a)</font></strong>
<a name="line149">149: </a><strong><font color="#228B22"> #define PetscAsinhReal(a) asinhf(a)</font></strong>
<a name="line150">150: </a><strong><font color="#228B22"> #define PetscAcoshReal(a) acoshf(a)</font></strong>
<a name="line151">151: </a><strong><font color="#228B22"> #define PetscAtanhReal(a) atanhf(a)</font></strong>
<a name="line152">152: </a><strong><font color="#228B22"> #define PetscErfReal(a) erff(a)</font></strong>
<a name="line153">153: </a><strong><font color="#228B22"> #define PetscCeilReal(a) ceilf(a)</font></strong>
<a name="line154">154: </a><strong><font color="#228B22"> #define PetscFloorReal(a) floorf(a)</font></strong>
<a name="line155">155: </a><strong><font color="#228B22"> #define PetscRintReal(a) rintf(a)</font></strong>
<a name="line156">156: </a><strong><font color="#228B22"> #define PetscFmodReal(a, b) fmodf(a, b)</font></strong>
<a name="line157">157: </a><strong><font color="#228B22"> #define PetscCopysignReal(a, b) copysignf(a, b)</font></strong>
<a name="line158">158: </a><strong><font color="#228B22"> #define PetscTGamma(a) tgammaf(a)</font></strong>
<a name="line159">159: </a><font color="#A020F0"> #if defined(PETSC_HAVE_LGAMMA_IS_GAMMA)</font>
<a name="line160">160: </a><strong><font color="#228B22"> #define PetscLGamma(a) gammaf(a)</font></strong>
<a name="line161">161: </a><font color="#A020F0"> #else</font>
<a name="line162">162: </a><strong><font color="#228B22"> #define PetscLGamma(a) lgammaf(a)</font></strong>
<a name="line163">163: </a><font color="#A020F0"> #endif</font>
<a name="line165">165: </a><font color="#A020F0">#endif </font><font color="#B22222">/* PETSC_USE_REAL_* */</font><font color="#A020F0"></font>
<a name="line167">167: </a><strong><font color="#4169E1"><a name="PetscSignReal"></a>static inline <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> PetscSignReal(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a> a)</font></strong>
<a name="line168">168: </a>{
<a name="line169">169: </a> <font color="#4169E1">return</font> (<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)((a < (<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)0) ? -1 : ((a > (<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)0) ? 1 : 0));
<a name="line170">170: </a>}
<a name="line172">172: </a><font color="#A020F0">#if !defined(PETSC_HAVE_LOG2)</font>
<a name="line173">173: </a><strong><font color="#228B22"> #undef PetscLog2Real</font></strong>
<a name="line174">174: </a><strong><font color="#4169E1"><a name="PetscLog2Real"></a>static inline <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> PetscLog2Real(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a> a)</font></strong>
<a name="line175">175: </a>{
<a name="line176">176: </a> <font color="#4169E1">return</font> PetscLogReal(a) / PetscLogReal((<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)2);
<a name="line177">177: </a>}
<a name="line178">178: </a><font color="#A020F0">#endif</font>
<a name="line180">180: </a><font color="#A020F0">#if defined(PETSC_HAVE_REAL___FLOAT128) && !defined(PETSC_SKIP_REAL___FLOAT128)</font>
<a name="line181">181: </a><strong><font color="#4169E1">PETSC_EXTERN MPI_Datatype MPIU___FLOAT128 PETSC_ATTRIBUTE_MPI_TYPE_TAG(__float128)</font></strong>;
<a name="line182">182: </a><font color="#A020F0">#endif</font>
<a name="line183">183: </a><font color="#A020F0">#if defined(PETSC_HAVE_REAL___FP16) && !defined(PETSC_SKIP_REAL___FP16)</font>
<a name="line184">184: </a><strong><font color="#4169E1">PETSC_EXTERN MPI_Datatype MPIU___FP16 PETSC_ATTRIBUTE_MPI_TYPE_TAG(__fp16)</font></strong>;
<a name="line185">185: </a><font color="#A020F0">#endif</font>
<a name="line187">187: </a><font color="#B22222">/*MC</font>
<a name="line188">188: </a><font color="#B22222"> <a href="../manualpages/Sys/MPIU_REAL.html">MPIU_REAL</a> - Portable MPI datatype corresponding to `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>` independent of what precision `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>` is in</font>
<a name="line190">190: </a><font color="#B22222"> Level: beginner</font>
<a name="line192">192: </a><font color="#B22222"> Note:</font>
<a name="line193">193: </a><font color="#B22222"> In MPI calls that require an MPI datatype that matches a `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>` or array of `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>` values, pass this value.</font>
<a name="line195">195: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`, `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>`, `<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>`, `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>`, `<a href="../manualpages/Sys/MPIU_SCALAR.html">MPIU_SCALAR</a>`, `<a href="../manualpages/Sys/MPIU_COMPLEX.html">MPIU_COMPLEX</a>`, `<a href="../manualpages/Sys/MPIU_INT.html">MPIU_INT</a>`</font>
<a name="line196">196: </a><font color="#B22222">M*/</font>
<a name="line197">197: </a><font color="#A020F0">#if defined(PETSC_USE_REAL_SINGLE)</font>
<a name="line198">198: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/MPIU_REAL.html">MPIU_REAL</a> MPI_FLOAT</font></strong>
<a name="line199">199: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL_DOUBLE)</font>
<a name="line200">200: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/MPIU_REAL.html">MPIU_REAL</a> MPI_DOUBLE</font></strong>
<a name="line201">201: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL___FLOAT128)</font>
<a name="line202">202: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/MPIU_REAL.html">MPIU_REAL</a> MPIU___FLOAT128</font></strong>
<a name="line203">203: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL___FP16)</font>
<a name="line204">204: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/MPIU_REAL.html">MPIU_REAL</a> MPIU___FP16</font></strong>
<a name="line205">205: </a><font color="#A020F0">#endif </font><font color="#B22222">/* PETSC_USE_REAL_* */</font><font color="#A020F0"></font>
<a name="line207">207: </a><font color="#B22222">/*</font>
<a name="line208">208: </a><font color="#B22222"> Complex number definitions</font>
<a name="line209">209: </a><font color="#B22222"> */</font>
<a name="line210">210: </a><font color="#A020F0">#if defined(PETSC_HAVE_COMPLEX)</font>
<a name="line211">211: </a><font color="#A020F0"> #if defined(__cplusplus) && !defined(PETSC_USE_REAL___FLOAT128)</font>
<a name="line212">212: </a> <font color="#B22222">/* C++ support of complex number */</font>
<a name="line214">214: </a><strong><font color="#228B22"> #define PetscRealPartComplex(a) (static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a)).real()</font></strong>
<a name="line215">215: </a><strong><font color="#228B22"> #define PetscImaginaryPartComplex(a) (static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a)).imag()</font></strong>
<a name="line216">216: </a><strong><font color="#228B22"> #define PetscAbsComplex(a) petsccomplexlib::abs(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line217">217: </a><strong><font color="#228B22"> #define PetscArgComplex(a) petsccomplexlib::arg(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line218">218: </a><strong><font color="#228B22"> #define PetscConjComplex(a) petsccomplexlib::conj(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line219">219: </a><strong><font color="#228B22"> #define PetscSqrtComplex(a) petsccomplexlib::sqrt(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line220">220: </a><strong><font color="#228B22"> #define PetscPowComplex(a, b) petsccomplexlib::pow(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a), static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(b))</font></strong>
<a name="line221">221: </a><strong><font color="#228B22"> #define PetscExpComplex(a) petsccomplexlib::exp(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line222">222: </a><strong><font color="#228B22"> #define PetscLogComplex(a) petsccomplexlib::log(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line223">223: </a><strong><font color="#228B22"> #define PetscSinComplex(a) petsccomplexlib::sin(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line224">224: </a><strong><font color="#228B22"> #define PetscCosComplex(a) petsccomplexlib::cos(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line225">225: </a><strong><font color="#228B22"> #define PetscTanComplex(a) petsccomplexlib::tan(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line226">226: </a><strong><font color="#228B22"> #define PetscAsinComplex(a) petsccomplexlib::asin(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line227">227: </a><strong><font color="#228B22"> #define PetscAcosComplex(a) petsccomplexlib::acos(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line228">228: </a><strong><font color="#228B22"> #define PetscAtanComplex(a) petsccomplexlib::atan(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line229">229: </a><strong><font color="#228B22"> #define PetscSinhComplex(a) petsccomplexlib::sinh(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line230">230: </a><strong><font color="#228B22"> #define PetscCoshComplex(a) petsccomplexlib::cosh(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line231">231: </a><strong><font color="#228B22"> #define PetscTanhComplex(a) petsccomplexlib::tanh(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line232">232: </a><strong><font color="#228B22"> #define PetscAsinhComplex(a) petsccomplexlib::asinh(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line233">233: </a><strong><font color="#228B22"> #define PetscAcoshComplex(a) petsccomplexlib::acosh(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line234">234: </a><strong><font color="#228B22"> #define PetscAtanhComplex(a) petsccomplexlib::atanh(static_cast<<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>>(a))</font></strong>
<a name="line236">236: </a> <font color="#B22222">/* TODO: Add configure tests</font>
<a name="line238">238: </a><font color="#B22222">#if !defined(PETSC_HAVE_CXX_TAN_COMPLEX)</font>
<a name="line239">239: </a><font color="#B22222">#undef PetscTanComplex</font>
<a name="line240">240: </a><font color="#B22222">static inline <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> PetscTanComplex(<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> z)</font>
<a name="line241">241: </a><font color="#B22222">{</font>
<a name="line242">242: </a><font color="#B22222"> return PetscSinComplex(z)/PetscCosComplex(z);</font>
<a name="line243">243: </a><font color="#B22222">}</font>
<a name="line244">244: </a><font color="#B22222">#endif</font>
<a name="line246">246: </a><font color="#B22222">#if !defined(PETSC_HAVE_CXX_TANH_COMPLEX)</font>
<a name="line247">247: </a><font color="#B22222">#undef PetscTanhComplex</font>
<a name="line248">248: </a><font color="#B22222">static inline <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> PetscTanhComplex(<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> z)</font>
<a name="line249">249: </a><font color="#B22222">{</font>
<a name="line250">250: </a><font color="#B22222"> return PetscSinhComplex(z)/PetscCoshComplex(z);</font>
<a name="line251">251: </a><font color="#B22222">}</font>
<a name="line252">252: </a><font color="#B22222">#endif</font>
<a name="line254">254: </a><font color="#B22222">#if !defined(PETSC_HAVE_CXX_ASIN_COMPLEX)</font>
<a name="line255">255: </a><font color="#B22222">#undef PetscAsinComplex</font>
<a name="line256">256: </a><font color="#B22222">static inline <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> PetscAsinComplex(<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> z)</font>
<a name="line257">257: </a><font color="#B22222">{</font>
<a name="line258">258: </a><font color="#B22222"> const <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> j(0,1);</font>
<a name="line259">259: </a><font color="#B22222"> return -j*PetscLogComplex(j*z+PetscSqrtComplex(1.0f-z*z));</font>
<a name="line260">260: </a><font color="#B22222">}</font>
<a name="line261">261: </a><font color="#B22222">#endif</font>
<a name="line263">263: </a><font color="#B22222">#if !defined(PETSC_HAVE_CXX_ACOS_COMPLEX)</font>
<a name="line264">264: </a><font color="#B22222">#undef PetscAcosComplex</font>
<a name="line265">265: </a><font color="#B22222">static inline <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> PetscAcosComplex(<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> z)</font>
<a name="line266">266: </a><font color="#B22222">{</font>
<a name="line267">267: </a><font color="#B22222"> const <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> j(0,1);</font>
<a name="line268">268: </a><font color="#B22222"> return j*PetscLogComplex(z-j*PetscSqrtComplex(1.0f-z*z));</font>
<a name="line269">269: </a><font color="#B22222">}</font>
<a name="line270">270: </a><font color="#B22222">#endif</font>
<a name="line272">272: </a><font color="#B22222">#if !defined(PETSC_HAVE_CXX_ATAN_COMPLEX)</font>
<a name="line273">273: </a><font color="#B22222">#undef PetscAtanComplex</font>
<a name="line274">274: </a><font color="#B22222">static inline <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> PetscAtanComplex(<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> z)</font>
<a name="line275">275: </a><font color="#B22222">{</font>
<a name="line276">276: </a><font color="#B22222"> const <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> j(0,1);</font>
<a name="line277">277: </a><font color="#B22222"> return 0.5f*j*PetscLogComplex((1.0f-j*z)/(1.0f+j*z));</font>
<a name="line278">278: </a><font color="#B22222">}</font>
<a name="line279">279: </a><font color="#B22222">#endif</font>
<a name="line281">281: </a><font color="#B22222">#if !defined(PETSC_HAVE_CXX_ASINH_COMPLEX)</font>
<a name="line282">282: </a><font color="#B22222">#undef PetscAsinhComplex</font>
<a name="line283">283: </a><font color="#B22222">static inline <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> PetscAsinhComplex(<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> z)</font>
<a name="line284">284: </a><font color="#B22222">{</font>
<a name="line285">285: </a><font color="#B22222"> return PetscLogComplex(z+PetscSqrtComplex(z*z+1.0f));</font>
<a name="line286">286: </a><font color="#B22222">}</font>
<a name="line287">287: </a><font color="#B22222">#endif</font>
<a name="line289">289: </a><font color="#B22222">#if !defined(PETSC_HAVE_CXX_ACOSH_COMPLEX)</font>
<a name="line290">290: </a><font color="#B22222">#undef PetscAcoshComplex</font>
<a name="line291">291: </a><font color="#B22222">static inline <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> PetscAcoshComplex(<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> z)</font>
<a name="line292">292: </a><font color="#B22222">{</font>
<a name="line293">293: </a><font color="#B22222"> return PetscLogComplex(z+PetscSqrtComplex(z*z-1.0f));</font>
<a name="line294">294: </a><font color="#B22222">}</font>
<a name="line295">295: </a><font color="#B22222">#endif</font>
<a name="line297">297: </a><font color="#B22222">#if !defined(PETSC_HAVE_CXX_ATANH_COMPLEX)</font>
<a name="line298">298: </a><font color="#B22222">#undef PetscAtanhComplex</font>
<a name="line299">299: </a><font color="#B22222">static inline <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> PetscAtanhComplex(<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> z)</font>
<a name="line300">300: </a><font color="#B22222">{</font>
<a name="line301">301: </a><font color="#B22222"> return 0.5f*PetscLogComplex((1.0f+z)/(1.0f-z));</font>
<a name="line302">302: </a><font color="#B22222">}</font>
<a name="line303">303: </a><font color="#B22222">#endif</font>
<a name="line305">305: </a><font color="#B22222">*/</font>
<a name="line307">307: </a><font color="#A020F0"> #else </font><font color="#B22222">/* C99 support of complex number */</font><font color="#A020F0"></font>
<a name="line309">309: </a><font color="#A020F0"> #if defined(PETSC_USE_REAL_SINGLE)</font>
<a name="line310">310: </a><strong><font color="#228B22"> #define PetscRealPartComplex(a) crealf(a)</font></strong>
<a name="line311">311: </a><strong><font color="#228B22"> #define PetscImaginaryPartComplex(a) cimagf(a)</font></strong>
<a name="line312">312: </a><strong><font color="#228B22"> #define PetscAbsComplex(a) cabsf(a)</font></strong>
<a name="line313">313: </a><strong><font color="#228B22"> #define PetscArgComplex(a) cargf(a)</font></strong>
<a name="line314">314: </a><strong><font color="#228B22"> #define PetscConjComplex(a) conjf(a)</font></strong>
<a name="line315">315: </a><strong><font color="#228B22"> #define PetscSqrtComplex(a) csqrtf(a)</font></strong>
<a name="line316">316: </a><strong><font color="#228B22"> #define PetscPowComplex(a, b) cpowf(a, b)</font></strong>
<a name="line317">317: </a><strong><font color="#228B22"> #define PetscExpComplex(a) cexpf(a)</font></strong>
<a name="line318">318: </a><strong><font color="#228B22"> #define PetscLogComplex(a) clogf(a)</font></strong>
<a name="line319">319: </a><strong><font color="#228B22"> #define PetscSinComplex(a) csinf(a)</font></strong>
<a name="line320">320: </a><strong><font color="#228B22"> #define PetscCosComplex(a) ccosf(a)</font></strong>
<a name="line321">321: </a><strong><font color="#228B22"> #define PetscTanComplex(a) ctanf(a)</font></strong>
<a name="line322">322: </a><strong><font color="#228B22"> #define PetscAsinComplex(a) casinf(a)</font></strong>
<a name="line323">323: </a><strong><font color="#228B22"> #define PetscAcosComplex(a) cacosf(a)</font></strong>
<a name="line324">324: </a><strong><font color="#228B22"> #define PetscAtanComplex(a) catanf(a)</font></strong>
<a name="line325">325: </a><strong><font color="#228B22"> #define PetscSinhComplex(a) csinhf(a)</font></strong>
<a name="line326">326: </a><strong><font color="#228B22"> #define PetscCoshComplex(a) ccoshf(a)</font></strong>
<a name="line327">327: </a><strong><font color="#228B22"> #define PetscTanhComplex(a) ctanhf(a)</font></strong>
<a name="line328">328: </a><strong><font color="#228B22"> #define PetscAsinhComplex(a) casinhf(a)</font></strong>
<a name="line329">329: </a><strong><font color="#228B22"> #define PetscAcoshComplex(a) cacoshf(a)</font></strong>
<a name="line330">330: </a><strong><font color="#228B22"> #define PetscAtanhComplex(a) catanhf(a)</font></strong>
<a name="line332">332: </a><font color="#A020F0"> #elif defined(PETSC_USE_REAL_DOUBLE)</font>
<a name="line333">333: </a><strong><font color="#228B22"> #define PetscRealPartComplex(a) creal(a)</font></strong>
<a name="line334">334: </a><strong><font color="#228B22"> #define PetscImaginaryPartComplex(a) cimag(a)</font></strong>
<a name="line335">335: </a><strong><font color="#228B22"> #define PetscAbsComplex(a) cabs(a)</font></strong>
<a name="line336">336: </a><strong><font color="#228B22"> #define PetscArgComplex(a) carg(a)</font></strong>
<a name="line337">337: </a><strong><font color="#228B22"> #define PetscConjComplex(a) conj(a)</font></strong>
<a name="line338">338: </a><strong><font color="#228B22"> #define PetscSqrtComplex(a) csqrt(a)</font></strong>
<a name="line339">339: </a><strong><font color="#228B22"> #define PetscPowComplex(a, b) cpow(a, b)</font></strong>
<a name="line340">340: </a><strong><font color="#228B22"> #define PetscExpComplex(a) cexp(a)</font></strong>
<a name="line341">341: </a><strong><font color="#228B22"> #define PetscLogComplex(a) clog(a)</font></strong>
<a name="line342">342: </a><strong><font color="#228B22"> #define PetscSinComplex(a) csin(a)</font></strong>
<a name="line343">343: </a><strong><font color="#228B22"> #define PetscCosComplex(a) ccos(a)</font></strong>
<a name="line344">344: </a><strong><font color="#228B22"> #define PetscTanComplex(a) ctan(a)</font></strong>
<a name="line345">345: </a><strong><font color="#228B22"> #define PetscAsinComplex(a) casin(a)</font></strong>
<a name="line346">346: </a><strong><font color="#228B22"> #define PetscAcosComplex(a) cacos(a)</font></strong>
<a name="line347">347: </a><strong><font color="#228B22"> #define PetscAtanComplex(a) catan(a)</font></strong>
<a name="line348">348: </a><strong><font color="#228B22"> #define PetscSinhComplex(a) csinh(a)</font></strong>
<a name="line349">349: </a><strong><font color="#228B22"> #define PetscCoshComplex(a) ccosh(a)</font></strong>
<a name="line350">350: </a><strong><font color="#228B22"> #define PetscTanhComplex(a) ctanh(a)</font></strong>
<a name="line351">351: </a><strong><font color="#228B22"> #define PetscAsinhComplex(a) casinh(a)</font></strong>
<a name="line352">352: </a><strong><font color="#228B22"> #define PetscAcoshComplex(a) cacosh(a)</font></strong>
<a name="line353">353: </a><strong><font color="#228B22"> #define PetscAtanhComplex(a) catanh(a)</font></strong>
<a name="line355">355: </a><font color="#A020F0"> #elif defined(PETSC_USE_REAL___FLOAT128)</font>
<a name="line356">356: </a><strong><font color="#228B22"> #define PetscRealPartComplex(a) crealq(a)</font></strong>
<a name="line357">357: </a><strong><font color="#228B22"> #define PetscImaginaryPartComplex(a) cimagq(a)</font></strong>
<a name="line358">358: </a><strong><font color="#228B22"> #define PetscAbsComplex(a) cabsq(a)</font></strong>
<a name="line359">359: </a><strong><font color="#228B22"> #define PetscArgComplex(a) cargq(a)</font></strong>
<a name="line360">360: </a><strong><font color="#228B22"> #define PetscConjComplex(a) conjq(a)</font></strong>
<a name="line361">361: </a><strong><font color="#228B22"> #define PetscSqrtComplex(a) csqrtq(a)</font></strong>
<a name="line362">362: </a><strong><font color="#228B22"> #define PetscPowComplex(a, b) cpowq(a, b)</font></strong>
<a name="line363">363: </a><strong><font color="#228B22"> #define PetscExpComplex(a) cexpq(a)</font></strong>
<a name="line364">364: </a><strong><font color="#228B22"> #define PetscLogComplex(a) clogq(a)</font></strong>
<a name="line365">365: </a><strong><font color="#228B22"> #define PetscSinComplex(a) csinq(a)</font></strong>
<a name="line366">366: </a><strong><font color="#228B22"> #define PetscCosComplex(a) ccosq(a)</font></strong>
<a name="line367">367: </a><strong><font color="#228B22"> #define PetscTanComplex(a) ctanq(a)</font></strong>
<a name="line368">368: </a><strong><font color="#228B22"> #define PetscAsinComplex(a) casinq(a)</font></strong>
<a name="line369">369: </a><strong><font color="#228B22"> #define PetscAcosComplex(a) cacosq(a)</font></strong>
<a name="line370">370: </a><strong><font color="#228B22"> #define PetscAtanComplex(a) catanq(a)</font></strong>
<a name="line371">371: </a><strong><font color="#228B22"> #define PetscSinhComplex(a) csinhq(a)</font></strong>
<a name="line372">372: </a><strong><font color="#228B22"> #define PetscCoshComplex(a) ccoshq(a)</font></strong>
<a name="line373">373: </a><strong><font color="#228B22"> #define PetscTanhComplex(a) ctanhq(a)</font></strong>
<a name="line374">374: </a><strong><font color="#228B22"> #define PetscAsinhComplex(a) casinhq(a)</font></strong>
<a name="line375">375: </a><strong><font color="#228B22"> #define PetscAcoshComplex(a) cacoshq(a)</font></strong>
<a name="line376">376: </a><strong><font color="#228B22"> #define PetscAtanhComplex(a) catanhq(a)</font></strong>
<a name="line378">378: </a><font color="#A020F0"> #endif </font><font color="#B22222">/* PETSC_USE_REAL_* */</font><font color="#A020F0"></font>
<a name="line379">379: </a><font color="#A020F0"> #endif </font><font color="#B22222">/* (__cplusplus) */</font><font color="#A020F0"></font>
<a name="line381">381: </a><font color="#B22222">/*MC</font>
<a name="line382">382: </a><font color="#B22222"> <a href="../manualpages/Sys/PETSC_i.html">PETSC_i</a> - the pure imaginary complex number i</font>
<a name="line384">384: </a><font color="#B22222"> Level: intermediate</font>
<a name="line386">386: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>`, `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>`</font>
<a name="line387">387: </a><font color="#B22222">M*/</font>
<a name="line388">388: </a>PETSC_EXTERN <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> <a href="../manualpages/Sys/PETSC_i.html">PETSC_i</a>;
<a name="line390">390: </a><font color="#B22222">/*</font>
<a name="line391">391: </a><font color="#B22222"> Try to do the right thing for complex number construction: see</font>
<a name="line392">392: </a><font color="#B22222"> http://www.open-std.org/jtc1/sc22/wg14/www/docs/n1464.htm</font>
<a name="line393">393: </a><font color="#B22222"> for details</font>
<a name="line394">394: </a><font color="#B22222">*/</font>
<a name="line395">395: </a><strong><font color="#4169E1"><a name="PetscCMPLX"></a>static inline <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> PetscCMPLX(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a> x, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> y)</font></strong>
<a name="line396">396: </a>{
<a name="line397">397: </a><font color="#A020F0"> #if defined(__cplusplus) && !defined(PETSC_USE_REAL___FLOAT128)</font>
<a name="line398">398: </a> <font color="#4169E1">return</font> <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>(x, y);
<a name="line399">399: </a><font color="#A020F0"> #elif defined(_Imaginary_I)</font>
<a name="line400">400: </a> <font color="#4169E1">return</font> x + y * _Imaginary_I;
<a name="line401">401: </a><font color="#A020F0"> #else</font>
<a name="line402">402: </a> { <font color="#B22222">/* In both C99 and C11 (ISO/IEC 9899, Section 6.2.5),</font>
<a name="line404">404: </a><font color="#B22222"> "For each floating type there is a corresponding real type, which is always a real floating</font>
<a name="line405">405: </a><font color="#B22222"> type. For real floating types, it is the same type. For complex types, it is the type given</font>
<a name="line406">406: </a><font color="#B22222"> by deleting the keyword _Complex from the type name."</font>
<a name="line408">408: </a><font color="#B22222"> So type punning should be portable. */</font>
<a name="line409">409: </a> <font color="#4169E1">union</font>
<a name="line410">410: </a> {
<a name="line411">411: </a> <a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a> z;
<a name="line412">412: </a> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> f[2];
<a name="line413">413: </a> } uz;
<a name="line415">415: </a> uz.f[0] = x;
<a name="line416">416: </a> uz.f[1] = y;
<a name="line417">417: </a> <font color="#4169E1">return</font> uz.z;
<a name="line418">418: </a> }
<a name="line419">419: </a><font color="#A020F0"> #endif</font>
<a name="line420">420: </a>}
<a name="line422">422: </a><strong><font color="#228B22"> #define MPIU_C_COMPLEX MPI_C_COMPLEX PETSC_DEPRECATED_MACRO(3, 15, 0, </font><font color="#666666">"MPI_C_COMPLEX"</font><font color="#228B22">, )</font></strong>
<a name="line423">423: </a><strong><font color="#228B22"> #define MPIU_C_DOUBLE_COMPLEX MPI_C_DOUBLE_COMPLEX PETSC_DEPRECATED_MACRO(3, 15, 0, </font><font color="#666666">"MPI_C_DOUBLE_COMPLEX"</font><font color="#228B22">, )</font></strong>
<a name="line425">425: </a><font color="#A020F0"> #if defined(PETSC_HAVE_REAL___FLOAT128) && !defined(PETSC_SKIP_REAL___FLOAT128)</font>
<a name="line426">426: </a> <font color="#B22222">// if complex is not used, then quadmath.h won't be included by petscsystypes.h</font>
<a name="line427">427: </a><font color="#A020F0"> #if defined(PETSC_USE_COMPLEX)</font>
<a name="line428">428: </a><strong><font color="#228B22"> #define MPIU___COMPLEX128_ATTR_TAG PETSC_ATTRIBUTE_MPI_TYPE_TAG(__complex128)</font></strong>
<a name="line429">429: </a><font color="#A020F0"> #else</font>
<a name="line430">430: </a><strong><font color="#228B22"> #define MPIU___COMPLEX128_ATTR_TAG</font></strong>
<a name="line431">431: </a><font color="#A020F0"> #endif</font>
<a name="line433">433: </a>PETSC_EXTERN MPI_Datatype MPIU___COMPLEX128 MPIU___COMPLEX128_ATTR_TAG;
<a name="line435">435: </a><strong><font color="#228B22"> #undef MPIU___COMPLEX128_ATTR_TAG</font></strong>
<a name="line436">436: </a><font color="#A020F0"> #endif </font><font color="#B22222">/* PETSC_HAVE_REAL___FLOAT128 */</font><font color="#A020F0"></font>
<a name="line438">438: </a> <font color="#B22222">/*MC</font>
<a name="line439">439: </a><font color="#B22222"> <a href="../manualpages/Sys/MPIU_COMPLEX.html">MPIU_COMPLEX</a> - Portable MPI datatype corresponding to `<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>` independent of the precision of `<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>`</font>
<a name="line441">441: </a><font color="#B22222"> Level: beginner</font>
<a name="line443">443: </a><font color="#B22222"> Note:</font>
<a name="line444">444: </a><font color="#B22222"> In MPI calls that require an MPI datatype that matches a `<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>` or array of `<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>` values, pass this value.</font>
<a name="line446">446: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`, `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>`, `<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>`, `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>`, `<a href="../manualpages/Sys/MPIU_REAL.html">MPIU_REAL</a>`, `<a href="../manualpages/Sys/MPIU_SCALAR.html">MPIU_SCALAR</a>`, `<a href="../manualpages/Sys/MPIU_COMPLEX.html">MPIU_COMPLEX</a>`, `<a href="../manualpages/Sys/MPIU_INT.html">MPIU_INT</a>`, `<a href="../manualpages/Sys/PETSC_i.html">PETSC_i</a>`</font>
<a name="line447">447: </a><font color="#B22222">M*/</font>
<a name="line448">448: </a><font color="#A020F0"> #if defined(PETSC_USE_REAL_SINGLE)</font>
<a name="line449">449: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/MPIU_COMPLEX.html">MPIU_COMPLEX</a> MPI_C_COMPLEX</font></strong>
<a name="line450">450: </a><font color="#A020F0"> #elif defined(PETSC_USE_REAL_DOUBLE)</font>
<a name="line451">451: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/MPIU_COMPLEX.html">MPIU_COMPLEX</a> MPI_C_DOUBLE_COMPLEX</font></strong>
<a name="line452">452: </a><font color="#A020F0"> #elif defined(PETSC_USE_REAL___FLOAT128)</font>
<a name="line453">453: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/MPIU_COMPLEX.html">MPIU_COMPLEX</a> MPIU___COMPLEX128</font></strong>
<a name="line454">454: </a><font color="#A020F0"> #elif defined(PETSC_USE_REAL___FP16)</font>
<a name="line455">455: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/MPIU_COMPLEX.html">MPIU_COMPLEX</a> MPI_C_COMPLEX</font></strong>
<a name="line456">456: </a><font color="#A020F0"> #endif </font><font color="#B22222">/* PETSC_USE_REAL_* */</font><font color="#A020F0"></font>
<a name="line458">458: </a><font color="#A020F0">#endif </font><font color="#B22222">/* PETSC_HAVE_COMPLEX */</font><font color="#A020F0"></font>
<a name="line460">460: </a><font color="#B22222">/*</font>
<a name="line461">461: </a><font color="#B22222"> Scalar number definitions</font>
<a name="line462">462: </a><font color="#B22222"> */</font>
<a name="line463">463: </a><font color="#A020F0">#if defined(PETSC_USE_COMPLEX) && defined(PETSC_HAVE_COMPLEX)</font>
<a name="line464">464: </a> <font color="#B22222">/*MC</font>
<a name="line465">465: </a><font color="#B22222"> <a href="../manualpages/Sys/MPIU_SCALAR.html">MPIU_SCALAR</a> - Portable MPI datatype corresponding to `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>` independent of the precision of `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>`</font>
<a name="line467">467: </a><font color="#B22222"> Level: beginner</font>
<a name="line469">469: </a><font color="#B22222"> Note:</font>
<a name="line470">470: </a><font color="#B22222"> In MPI calls that require an MPI datatype that matches a `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>` or array of `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>` values, pass this value.</font>
<a name="line472">472: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`, `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>`, `<a href="../manualpages/Sys/PetscComplex.html">PetscComplex</a>`, `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>`, `<a href="../manualpages/Sys/MPIU_REAL.html">MPIU_REAL</a>`, `<a href="../manualpages/Sys/MPIU_COMPLEX.html">MPIU_COMPLEX</a>`, `<a href="../manualpages/Sys/MPIU_INT.html">MPIU_INT</a>`</font>
<a name="line473">473: </a><font color="#B22222">M*/</font>
<a name="line474">474: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/MPIU_SCALAR.html">MPIU_SCALAR</a> <a href="../manualpages/Sys/MPIU_COMPLEX.html">MPIU_COMPLEX</a></font></strong>
<a name="line476">476: </a> <font color="#B22222">/*MC</font>
<a name="line477">477: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscRealPart.html">PetscRealPart</a> - Returns the real part of a `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>`</font>
<a name="line479">479: </a><font color="#B22222"> Synopsis:</font>
<a name="line480">480: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line481">481: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> <a href="../manualpages/Sys/PetscRealPart.html">PetscRealPart</a>(<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> v)</font>
<a name="line483">483: </a><font color="#B22222"> Not Collective</font>
<a name="line485">485: </a><font color="#B22222"> Input Parameter:</font>
<a name="line486">486: </a><font color="#B22222">. v - value to find the real part of</font>
<a name="line488">488: </a><font color="#B22222"> Level: beginner</font>
<a name="line490">490: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>`, `<a href="../manualpages/Sys/PetscImaginaryPart.html">PetscImaginaryPart</a>()`, `<a href="../manualpages/Sys/PetscMax.html">PetscMax</a>()`, `<a href="../manualpages/Sys/PetscClipInterval.html">PetscClipInterval</a>()`, `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`, `<a href="../manualpages/Sys/PetscSqr.html">PetscSqr</a>()`</font>
<a name="line491">491: </a><font color="#B22222">M*/</font>
<a name="line492">492: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PetscRealPart.html">PetscRealPart</a>(a) PetscRealPartComplex(a)</font></strong>
<a name="line494">494: </a> <font color="#B22222">/*MC</font>
<a name="line495">495: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscImaginaryPart.html">PetscImaginaryPart</a> - Returns the imaginary part of a `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>`</font>
<a name="line497">497: </a><font color="#B22222"> Synopsis:</font>
<a name="line498">498: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line499">499: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> <a href="../manualpages/Sys/PetscImaginaryPart.html">PetscImaginaryPart</a>(<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> v)</font>
<a name="line501">501: </a><font color="#B22222"> Not Collective</font>
<a name="line503">503: </a><font color="#B22222"> Input Parameter:</font>
<a name="line504">504: </a><font color="#B22222">. v - value to find the imaginary part of</font>
<a name="line506">506: </a><font color="#B22222"> Level: beginner</font>
<a name="line508">508: </a><font color="#B22222"> Note:</font>
<a name="line509">509: </a><font color="#B22222"> If PETSc was configured for real numbers then this always returns the value 0</font>
<a name="line511">511: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>`, `<a href="../manualpages/Sys/PetscRealPart.html">PetscRealPart</a>()`, `<a href="../manualpages/Sys/PetscMax.html">PetscMax</a>()`, `<a href="../manualpages/Sys/PetscClipInterval.html">PetscClipInterval</a>()`, `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`, `<a href="../manualpages/Sys/PetscSqr.html">PetscSqr</a>()`</font>
<a name="line512">512: </a><font color="#B22222">M*/</font>
<a name="line513">513: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PetscImaginaryPart.html">PetscImaginaryPart</a>(a) PetscImaginaryPartComplex(a)</font></strong>
<a name="line515">515: </a><strong><font color="#228B22"> #define PetscAbsScalar(a) PetscAbsComplex(a)</font></strong>
<a name="line516">516: </a><strong><font color="#228B22"> #define PetscArgScalar(a) PetscArgComplex(a)</font></strong>
<a name="line517">517: </a><strong><font color="#228B22"> #define PetscConj(a) PetscConjComplex(a)</font></strong>
<a name="line518">518: </a><strong><font color="#228B22"> #define PetscSqrtScalar(a) PetscSqrtComplex(a)</font></strong>
<a name="line519">519: </a><strong><font color="#228B22"> #define PetscPowScalar(a, b) PetscPowComplex(a, b)</font></strong>
<a name="line520">520: </a><strong><font color="#228B22"> #define PetscExpScalar(a) PetscExpComplex(a)</font></strong>
<a name="line521">521: </a><strong><font color="#228B22"> #define PetscLogScalar(a) PetscLogComplex(a)</font></strong>
<a name="line522">522: </a><strong><font color="#228B22"> #define PetscSinScalar(a) PetscSinComplex(a)</font></strong>
<a name="line523">523: </a><strong><font color="#228B22"> #define PetscCosScalar(a) PetscCosComplex(a)</font></strong>
<a name="line524">524: </a><strong><font color="#228B22"> #define PetscTanScalar(a) PetscTanComplex(a)</font></strong>
<a name="line525">525: </a><strong><font color="#228B22"> #define PetscAsinScalar(a) PetscAsinComplex(a)</font></strong>
<a name="line526">526: </a><strong><font color="#228B22"> #define PetscAcosScalar(a) PetscAcosComplex(a)</font></strong>
<a name="line527">527: </a><strong><font color="#228B22"> #define PetscAtanScalar(a) PetscAtanComplex(a)</font></strong>
<a name="line528">528: </a><strong><font color="#228B22"> #define PetscSinhScalar(a) PetscSinhComplex(a)</font></strong>
<a name="line529">529: </a><strong><font color="#228B22"> #define PetscCoshScalar(a) PetscCoshComplex(a)</font></strong>
<a name="line530">530: </a><strong><font color="#228B22"> #define PetscTanhScalar(a) PetscTanhComplex(a)</font></strong>
<a name="line531">531: </a><strong><font color="#228B22"> #define PetscAsinhScalar(a) PetscAsinhComplex(a)</font></strong>
<a name="line532">532: </a><strong><font color="#228B22"> #define PetscAcoshScalar(a) PetscAcoshComplex(a)</font></strong>
<a name="line533">533: </a><strong><font color="#228B22"> #define PetscAtanhScalar(a) PetscAtanhComplex(a)</font></strong>
<a name="line535">535: </a><font color="#A020F0">#else </font><font color="#B22222">/* PETSC_USE_COMPLEX */</font><font color="#A020F0"></font>
<a name="line536">536: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/MPIU_SCALAR.html">MPIU_SCALAR</a> <a href="../manualpages/Sys/MPIU_REAL.html">MPIU_REAL</a></font></strong>
<a name="line537">537: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PetscRealPart.html">PetscRealPart</a>(a) (a)</font></strong>
<a name="line538">538: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PetscImaginaryPart.html">PetscImaginaryPart</a>(a) ((<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)0)</font></strong>
<a name="line539">539: </a><strong><font color="#228B22"> #define PetscAbsScalar(a) <a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>(a)</font></strong>
<a name="line540">540: </a><strong><font color="#228B22"> #define PetscArgScalar(a) (((a) < (<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)0) ? <a href="../manualpages/Sys/PETSC_PI.html">PETSC_PI</a> : (<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)0)</font></strong>
<a name="line541">541: </a><strong><font color="#228B22"> #define PetscConj(a) (a)</font></strong>
<a name="line542">542: </a><strong><font color="#228B22"> #define PetscSqrtScalar(a) PetscSqrtReal(a)</font></strong>
<a name="line543">543: </a><strong><font color="#228B22"> #define PetscPowScalar(a, b) PetscPowReal(a, b)</font></strong>
<a name="line544">544: </a><strong><font color="#228B22"> #define PetscExpScalar(a) PetscExpReal(a)</font></strong>
<a name="line545">545: </a><strong><font color="#228B22"> #define PetscLogScalar(a) PetscLogReal(a)</font></strong>
<a name="line546">546: </a><strong><font color="#228B22"> #define PetscSinScalar(a) PetscSinReal(a)</font></strong>
<a name="line547">547: </a><strong><font color="#228B22"> #define PetscCosScalar(a) PetscCosReal(a)</font></strong>
<a name="line548">548: </a><strong><font color="#228B22"> #define PetscTanScalar(a) PetscTanReal(a)</font></strong>
<a name="line549">549: </a><strong><font color="#228B22"> #define PetscAsinScalar(a) PetscAsinReal(a)</font></strong>
<a name="line550">550: </a><strong><font color="#228B22"> #define PetscAcosScalar(a) PetscAcosReal(a)</font></strong>
<a name="line551">551: </a><strong><font color="#228B22"> #define PetscAtanScalar(a) PetscAtanReal(a)</font></strong>
<a name="line552">552: </a><strong><font color="#228B22"> #define PetscSinhScalar(a) PetscSinhReal(a)</font></strong>
<a name="line553">553: </a><strong><font color="#228B22"> #define PetscCoshScalar(a) PetscCoshReal(a)</font></strong>
<a name="line554">554: </a><strong><font color="#228B22"> #define PetscTanhScalar(a) PetscTanhReal(a)</font></strong>
<a name="line555">555: </a><strong><font color="#228B22"> #define PetscAsinhScalar(a) PetscAsinhReal(a)</font></strong>
<a name="line556">556: </a><strong><font color="#228B22"> #define PetscAcoshScalar(a) PetscAcoshReal(a)</font></strong>
<a name="line557">557: </a><strong><font color="#228B22"> #define PetscAtanhScalar(a) PetscAtanhReal(a)</font></strong>
<a name="line559">559: </a><font color="#A020F0">#endif </font><font color="#B22222">/* PETSC_USE_COMPLEX */</font><font color="#A020F0"></font>
<a name="line561">561: </a><font color="#B22222">/*</font>
<a name="line562">562: </a><font color="#B22222"> Certain objects may be created using either single or double precision.</font>
<a name="line563">563: </a><font color="#B22222"> This is currently not used.</font>
<a name="line564">564: </a><font color="#B22222">*/</font>
<a name="line565">565: </a><font color="#4169E1">typedef</font> <font color="#4169E1">enum</font> {
<a name="line566">566: </a> PETSC_SCALAR_DOUBLE,
<a name="line567">567: </a> PETSC_SCALAR_SINGLE,
<a name="line568">568: </a> PETSC_SCALAR_LONG_DOUBLE,
<a name="line569">569: </a> PETSC_SCALAR_HALF
<a name="line570">570: </a>} PetscScalarPrecision;
<a name="line572">572: </a><font color="#B22222">/*MC</font>
<a name="line573">573: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscAbs.html">PetscAbs</a> - Returns the absolute value of a number</font>
<a name="line575">575: </a><font color="#B22222"> Synopsis:</font>
<a name="line576">576: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line577">577: </a><font color="#B22222"> type <a href="../manualpages/Sys/PetscAbs.html">PetscAbs</a>(type v)</font>
<a name="line579">579: </a><font color="#B22222"> Not Collective</font>
<a name="line581">581: </a><font color="#B22222"> Input Parameter:</font>
<a name="line582">582: </a><font color="#B22222">. v - the number</font>
<a name="line584">584: </a><font color="#B22222"> Level: beginner</font>
<a name="line586">586: </a><font color="#B22222"> Note:</font>
<a name="line587">587: </a><font color="#B22222"> The type can be integer or real floating point value, but cannot be complex</font>
<a name="line589">589: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`, `PetscAbsScalar()`, `<a href="../manualpages/Sys/PetscSign.html">PetscSign</a>()`</font>
<a name="line590">590: </a><font color="#B22222">M*/</font>
<a name="line591">591: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PetscAbs.html">PetscAbs</a>(a) (((a) >= 0) ? (a) : (-(a)))</font></strong>
<a name="line593">593: </a><font color="#B22222">/*MC</font>
<a name="line594">594: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscSign.html">PetscSign</a> - Returns the sign of a number as an integer of value -1, 0, or 1</font>
<a name="line596">596: </a><font color="#B22222"> Synopsis:</font>
<a name="line597">597: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line598">598: </a><font color="#B22222"> int <a href="../manualpages/Sys/PetscSign.html">PetscSign</a>(type v)</font>
<a name="line600">600: </a><font color="#B22222"> Not Collective</font>
<a name="line602">602: </a><font color="#B22222"> Input Parameter:</font>
<a name="line603">603: </a><font color="#B22222">. v - the number</font>
<a name="line605">605: </a><font color="#B22222"> Level: beginner</font>
<a name="line607">607: </a><font color="#B22222"> Note:</font>
<a name="line608">608: </a><font color="#B22222"> The type can be integer or real floating point value</font>
<a name="line610">610: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`, `PetscAbsScalar()`</font>
<a name="line611">611: </a><font color="#B22222">M*/</font>
<a name="line612">612: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PetscSign.html">PetscSign</a>(a) (((a) >= 0) ? ((a) == 0 ? 0 : 1) : -1)</font></strong>
<a name="line614">614: </a><font color="#B22222">/*MC</font>
<a name="line615">615: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscMin.html">PetscMin</a> - Returns minimum of two numbers</font>
<a name="line617">617: </a><font color="#B22222"> Synopsis:</font>
<a name="line618">618: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line619">619: </a><font color="#B22222"> type <a href="../manualpages/Sys/PetscMin.html">PetscMin</a>(type v1,type v2)</font>
<a name="line621">621: </a><font color="#B22222"> Not Collective</font>
<a name="line623">623: </a><font color="#B22222"> Input Parameters:</font>
<a name="line624">624: </a><font color="#B22222">+ v1 - first value to find minimum of</font>
<a name="line625">625: </a><font color="#B22222">- v2 - second value to find minimum of</font>
<a name="line627">627: </a><font color="#B22222"> Level: beginner</font>
<a name="line629">629: </a><font color="#B22222"> Note:</font>
<a name="line630">630: </a><font color="#B22222"> The type can be integer or floating point value, but cannot be complex</font>
<a name="line632">632: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscMax.html">PetscMax</a>()`, `<a href="../manualpages/Sys/PetscClipInterval.html">PetscClipInterval</a>()`, `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`, `<a href="../manualpages/Sys/PetscSqr.html">PetscSqr</a>()`</font>
<a name="line633">633: </a><font color="#B22222">M*/</font>
<a name="line634">634: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PetscMin.html">PetscMin</a>(a, b) (((a) < (b)) ? (a) : (b))</font></strong>
<a name="line636">636: </a><font color="#B22222">/*MC</font>
<a name="line637">637: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscMax.html">PetscMax</a> - Returns maximum of two numbers</font>
<a name="line639">639: </a><font color="#B22222"> Synopsis:</font>
<a name="line640">640: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line641">641: </a><font color="#B22222"> type max <a href="../manualpages/Sys/PetscMax.html">PetscMax</a>(type v1,type v2)</font>
<a name="line643">643: </a><font color="#B22222"> Not Collective</font>
<a name="line645">645: </a><font color="#B22222"> Input Parameters:</font>
<a name="line646">646: </a><font color="#B22222">+ v1 - first value to find maximum of</font>
<a name="line647">647: </a><font color="#B22222">- v2 - second value to find maximum of</font>
<a name="line649">649: </a><font color="#B22222"> Level: beginner</font>
<a name="line651">651: </a><font color="#B22222"> Note:</font>
<a name="line652">652: </a><font color="#B22222"> The type can be integer or floating point value</font>
<a name="line654">654: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscMin.html">PetscMin</a>()`, `<a href="../manualpages/Sys/PetscClipInterval.html">PetscClipInterval</a>()`, `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`, `<a href="../manualpages/Sys/PetscSqr.html">PetscSqr</a>()`</font>
<a name="line655">655: </a><font color="#B22222">M*/</font>
<a name="line656">656: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PetscMax.html">PetscMax</a>(a, b) (((a) < (b)) ? (b) : (a))</font></strong>
<a name="line658">658: </a><font color="#B22222">/*MC</font>
<a name="line659">659: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscClipInterval.html">PetscClipInterval</a> - Returns a number clipped to be within an interval</font>
<a name="line661">661: </a><font color="#B22222"> Synopsis:</font>
<a name="line662">662: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line663">663: </a><font color="#B22222"> type clip <a href="../manualpages/Sys/PetscClipInterval.html">PetscClipInterval</a>(type x,type a,type b)</font>
<a name="line665">665: </a><font color="#B22222"> Not Collective</font>
<a name="line667">667: </a><font color="#B22222"> Input Parameters:</font>
<a name="line668">668: </a><font color="#B22222">+ x - value to use if within interval [a,b]</font>
<a name="line669">669: </a><font color="#B22222">. a - lower end of interval</font>
<a name="line670">670: </a><font color="#B22222">- b - upper end of interval</font>
<a name="line672">672: </a><font color="#B22222"> Level: beginner</font>
<a name="line674">674: </a><font color="#B22222"> Note:</font>
<a name="line675">675: </a><font color="#B22222"> The type can be integer or floating point value</font>
<a name="line677">677: </a><font color="#B22222"> Example\:</font>
<a name="line678">678: </a><font color="#B22222">.vb</font>
<a name="line679">679: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> c = <a href="../manualpages/Sys/PetscClipInterval.html">PetscClipInterval</a>(5, 2, 3); // the value of c is 3</font>
<a name="line680">680: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> c = <a href="../manualpages/Sys/PetscClipInterval.html">PetscClipInterval</a>(5, 2, 6); // the value of c is 5</font>
<a name="line681">681: </a><font color="#B22222">.ve</font>
<a name="line683">683: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscMin.html">PetscMin</a>()`, `<a href="../manualpages/Sys/PetscMax.html">PetscMax</a>()`, `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`, `<a href="../manualpages/Sys/PetscSqr.html">PetscSqr</a>()`</font>
<a name="line684">684: </a><font color="#B22222">M*/</font>
<a name="line685">685: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PetscClipInterval.html">PetscClipInterval</a>(x, a, b) (<a href="../manualpages/Sys/PetscMax.html">PetscMax</a>((a), <a href="../manualpages/Sys/PetscMin.html">PetscMin</a>((x), (b))))</font></strong>
<a name="line687">687: </a><font color="#B22222">/*MC</font>
<a name="line688">688: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a> - Returns the absolute value of an integer</font>
<a name="line690">690: </a><font color="#B22222"> Synopsis:</font>
<a name="line691">691: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line692">692: </a><font color="#B22222"> int abs <a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>(int v1)</font>
<a name="line694">694: </a><font color="#B22222"> Input Parameter:</font>
<a name="line695">695: </a><font color="#B22222">. v1 - the integer</font>
<a name="line697">697: </a><font color="#B22222"> Level: beginner</font>
<a name="line699">699: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscMax.html">PetscMax</a>()`, `<a href="../manualpages/Sys/PetscMin.html">PetscMin</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`, `<a href="../manualpages/Sys/PetscSqr.html">PetscSqr</a>()`</font>
<a name="line700">700: </a><font color="#B22222">M*/</font>
<a name="line701">701: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>(a) (((a) < 0) ? (-(a)) : (a))</font></strong>
<a name="line703">703: </a><font color="#B22222">/*MC</font>
<a name="line704">704: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a> - Returns the absolute value of a real number</font>
<a name="line706">706: </a><font color="#B22222"> Synopsis:</font>
<a name="line707">707: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line708">708: </a><font color="#B22222"> Real abs <a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a> v1)</font>
<a name="line710">710: </a><font color="#B22222"> Input Parameter:</font>
<a name="line711">711: </a><font color="#B22222">. v1 - the `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>` value</font>
<a name="line713">713: </a><font color="#B22222"> Level: beginner</font>
<a name="line715">715: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`, `<a href="../manualpages/Sys/PetscMax.html">PetscMax</a>()`, `<a href="../manualpages/Sys/PetscMin.html">PetscMin</a>()`, `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscSqr.html">PetscSqr</a>()`</font>
<a name="line716">716: </a><font color="#B22222">M*/</font>
<a name="line717">717: </a><font color="#A020F0">#if defined(PETSC_USE_REAL_SINGLE)</font>
<a name="line718">718: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>(a) fabsf(a)</font></strong>
<a name="line719">719: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL_DOUBLE)</font>
<a name="line720">720: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>(a) fabs(a)</font></strong>
<a name="line721">721: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL___FLOAT128)</font>
<a name="line722">722: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>(a) fabsq(a)</font></strong>
<a name="line723">723: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL___FP16)</font>
<a name="line724">724: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>(a) fabsf(a)</font></strong>
<a name="line725">725: </a><font color="#A020F0">#endif</font>
<a name="line727">727: </a><font color="#B22222">/*MC</font>
<a name="line728">728: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscSqr.html">PetscSqr</a> - Returns the square of a number</font>
<a name="line730">730: </a><font color="#B22222"> Synopsis:</font>
<a name="line731">731: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line732">732: </a><font color="#B22222"> type sqr <a href="../manualpages/Sys/PetscSqr.html">PetscSqr</a>(type v1)</font>
<a name="line734">734: </a><font color="#B22222"> Not Collective</font>
<a name="line736">736: </a><font color="#B22222"> Input Parameter:</font>
<a name="line737">737: </a><font color="#B22222">. v1 - the value</font>
<a name="line739">739: </a><font color="#B22222"> Level: beginner</font>
<a name="line741">741: </a><font color="#B22222"> Note:</font>
<a name="line742">742: </a><font color="#B22222"> The type can be integer, floating point, or complex floating point</font>
<a name="line744">744: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscMax.html">PetscMax</a>()`, `<a href="../manualpages/Sys/PetscMin.html">PetscMin</a>()`, `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`</font>
<a name="line745">745: </a><font color="#B22222">M*/</font>
<a name="line746">746: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PetscSqr.html">PetscSqr</a>(a) ((a) * (a))</font></strong>
<a name="line748">748: </a><font color="#B22222">/*MC</font>
<a name="line749">749: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscRealConstant.html">PetscRealConstant</a> - a compile time macro that ensures a given constant real number is properly represented in the configured</font>
<a name="line750">750: </a><font color="#B22222"> precision of `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>` be it half, single, double or 128-bit representation</font>
<a name="line752">752: </a><font color="#B22222"> Synopsis:</font>
<a name="line753">753: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line754">754: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> <a href="../manualpages/Sys/PetscRealConstant.html">PetscRealConstant</a>(real_number)</font>
<a name="line756">756: </a><font color="#B22222"> Not Collective</font>
<a name="line758">758: </a><font color="#B22222"> Input Parameter:</font>
<a name="line759">759: </a><font color="#B22222">. v1 - the real number, for example 1.5</font>
<a name="line761">761: </a><font color="#B22222"> Level: beginner</font>
<a name="line763">763: </a><font color="#B22222"> Note:</font>
<a name="line764">764: </a><font color="#B22222"> For example, if PETSc is configured with `--with-precision=__float128` and one writes</font>
<a name="line765">765: </a><font color="#B22222">.vb</font>
<a name="line766">766: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> d = 1.5;</font>
<a name="line767">767: </a><font color="#B22222">.ve</font>
<a name="line768">768: </a><font color="#B22222"> the result is 1.5 in double precision extended to 128 bit representation, meaning it is very far from the correct value. Hence, one should write</font>
<a name="line769">769: </a><font color="#B22222">.vb</font>
<a name="line770">770: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> d = <a href="../manualpages/Sys/PetscRealConstant.html">PetscRealConstant</a>(1.5);</font>
<a name="line771">771: </a><font color="#B22222">.ve</font>
<a name="line773">773: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`</font>
<a name="line774">774: </a><font color="#B22222">M*/</font>
<a name="line775">775: </a><font color="#A020F0">#if defined(PETSC_USE_REAL_SINGLE)</font>
<a name="line776">776: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PetscRealConstant.html">PetscRealConstant</a>(constant) constant##F</font></strong>
<a name="line777">777: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL_DOUBLE)</font>
<a name="line778">778: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PetscRealConstant.html">PetscRealConstant</a>(constant) constant</font></strong>
<a name="line779">779: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL___FLOAT128)</font>
<a name="line780">780: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PetscRealConstant.html">PetscRealConstant</a>(constant) constant##Q</font></strong>
<a name="line781">781: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL___FP16)</font>
<a name="line782">782: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PetscRealConstant.html">PetscRealConstant</a>(constant) constant##F</font></strong>
<a name="line783">783: </a><font color="#A020F0">#endif</font>
<a name="line785">785: </a><font color="#B22222">/*</font>
<a name="line786">786: </a><font color="#B22222"> Basic constants</font>
<a name="line787">787: </a><font color="#B22222">*/</font>
<a name="line788">788: </a><font color="#B22222">/*MC</font>
<a name="line789">789: </a><font color="#B22222"> <a href="../manualpages/Sys/PETSC_PI.html">PETSC_PI</a> - the value of $ \pi$ to the correct precision of `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`.</font>
<a name="line791">791: </a><font color="#B22222"> Level: beginner</font>
<a name="line793">793: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`, `<a href="../manualpages/Sys/PETSC_PHI.html">PETSC_PHI</a>`, `<a href="../manualpages/Sys/PETSC_SQRT2.html">PETSC_SQRT2</a>`</font>
<a name="line794">794: </a><font color="#B22222">M*/</font>
<a name="line796">796: </a><font color="#B22222">/*MC</font>
<a name="line797">797: </a><font color="#B22222"> <a href="../manualpages/Sys/PETSC_PHI.html">PETSC_PHI</a> - the value of $ \phi$, the Golden Ratio, to the correct precision of `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`.</font>
<a name="line799">799: </a><font color="#B22222"> Level: beginner</font>
<a name="line801">801: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`, `<a href="../manualpages/Sys/PETSC_PI.html">PETSC_PI</a>`, `<a href="../manualpages/Sys/PETSC_SQRT2.html">PETSC_SQRT2</a>`</font>
<a name="line802">802: </a><font color="#B22222">M*/</font>
<a name="line804">804: </a><font color="#B22222">/*MC</font>
<a name="line805">805: </a><font color="#B22222"> <a href="../manualpages/Sys/PETSC_SQRT2.html">PETSC_SQRT2</a> - the value of $ \sqrt{2} $ to the correct precision of `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`.</font>
<a name="line807">807: </a><font color="#B22222"> Level: beginner</font>
<a name="line809">809: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`, `<a href="../manualpages/Sys/PETSC_PI.html">PETSC_PI</a>`, `<a href="../manualpages/Sys/PETSC_PHI.html">PETSC_PHI</a>`</font>
<a name="line810">810: </a><font color="#B22222">M*/</font>
<a name="line812">812: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PETSC_PI.html">PETSC_PI</a> <a href="../manualpages/Sys/PetscRealConstant.html">PetscRealConstant</a>(3.1415926535897932384626433832795029)</font></strong>
<a name="line813">813: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PETSC_PHI.html">PETSC_PHI</a> <a href="../manualpages/Sys/PetscRealConstant.html">PetscRealConstant</a>(1.6180339887498948482045868343656381)</font></strong>
<a name="line814">814: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PETSC_SQRT2.html">PETSC_SQRT2</a> <a href="../manualpages/Sys/PetscRealConstant.html">PetscRealConstant</a>(1.4142135623730950488016887242096981)</font></strong>
<a name="line816">816: </a><font color="#B22222">/*MC</font>
<a name="line817">817: </a><font color="#B22222"> <a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a> - the largest real value that can be stored in a `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`</font>
<a name="line819">819: </a><font color="#B22222"> Level: beginner</font>
<a name="line821">821: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PETSC_MIN_REAL.html">PETSC_MIN_REAL</a>`, `<a href="../manualpages/Sys/PETSC_REAL_MIN.html">PETSC_REAL_MIN</a>`, `<a href="../manualpages/Sys/PETSC_MACHINE_EPSILON.html">PETSC_MACHINE_EPSILON</a>`, `<a href="../manualpages/Sys/PETSC_SQRT_MACHINE_EPSILON.html">PETSC_SQRT_MACHINE_EPSILON</a>`, `<a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a>`</font>
<a name="line822">822: </a><font color="#B22222">M*/</font>
<a name="line824">824: </a><font color="#B22222">/*MC</font>
<a name="line825">825: </a><font color="#B22222"> <a href="../manualpages/Sys/PETSC_MIN_REAL.html">PETSC_MIN_REAL</a> - the smallest real value that can be stored in a `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`, generally this is - `<a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a>`</font>
<a name="line827">827: </a><font color="#B22222"> Level: beginner</font>
<a name="line829">829: </a><font color="#B22222">.seealso `<a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a>`, `<a href="../manualpages/Sys/PETSC_REAL_MIN.html">PETSC_REAL_MIN</a>`, `<a href="../manualpages/Sys/PETSC_MACHINE_EPSILON.html">PETSC_MACHINE_EPSILON</a>`, `<a href="../manualpages/Sys/PETSC_SQRT_MACHINE_EPSILON.html">PETSC_SQRT_MACHINE_EPSILON</a>`, `<a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a>`</font>
<a name="line830">830: </a><font color="#B22222">M*/</font>
<a name="line832">832: </a><font color="#B22222">/*MC</font>
<a name="line833">833: </a><font color="#B22222"> <a href="../manualpages/Sys/PETSC_REAL_MIN.html">PETSC_REAL_MIN</a> - the smallest positive normalized real value that can be stored in a `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`.</font>
<a name="line835">835: </a><font color="#B22222"> Level: beginner</font>
<a name="line837">837: </a><font color="#B22222"> Note:</font>
<a name="line838">838: </a><font color="#B22222"> See <https://en.wikipedia.org/wiki/Subnormal_number> for a discussion of normalized and subnormal floating point numbers</font>
<a name="line840">840: </a><font color="#B22222"> Developer Note:</font>
<a name="line841">841: </a><font color="#B22222"> The naming is confusing as there is both a `<a href="../manualpages/Sys/PETSC_REAL_MIN.html">PETSC_REAL_MIN</a>` and `<a href="../manualpages/Sys/PETSC_MIN_REAL.html">PETSC_MIN_REAL</a>` with different meanings.</font>
<a name="line843">843: </a><font color="#B22222">.seealso `<a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a>`, `<a href="../manualpages/Sys/PETSC_MIN_REAL.html">PETSC_MIN_REAL</a>`, `<a href="../manualpages/Sys/PETSC_MACHINE_EPSILON.html">PETSC_MACHINE_EPSILON</a>`, `<a href="../manualpages/Sys/PETSC_SQRT_MACHINE_EPSILON.html">PETSC_SQRT_MACHINE_EPSILON</a>`, `<a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a>`</font>
<a name="line844">844: </a><font color="#B22222">M*/</font>
<a name="line846">846: </a><font color="#B22222">/*MC</font>
<a name="line847">847: </a><font color="#B22222"> <a href="../manualpages/Sys/PETSC_MACHINE_EPSILON.html">PETSC_MACHINE_EPSILON</a> - the machine epsilon for the precision of `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`</font>
<a name="line849">849: </a><font color="#B22222"> Level: beginner</font>
<a name="line851">851: </a><font color="#B22222"> Note:</font>
<a name="line852">852: </a><font color="#B22222"> See <https://en.wikipedia.org/wiki/Machine_epsilon></font>
<a name="line854">854: </a><font color="#B22222">.seealso `<a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a>`, `<a href="../manualpages/Sys/PETSC_MIN_REAL.html">PETSC_MIN_REAL</a>`, `<a href="../manualpages/Sys/PETSC_REAL_MIN.html">PETSC_REAL_MIN</a>`, `<a href="../manualpages/Sys/PETSC_SQRT_MACHINE_EPSILON.html">PETSC_SQRT_MACHINE_EPSILON</a>`, `<a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a>`</font>
<a name="line855">855: </a><font color="#B22222">M*/</font>
<a name="line857">857: </a><font color="#B22222">/*MC</font>
<a name="line858">858: </a><font color="#B22222"> <a href="../manualpages/Sys/PETSC_SQRT_MACHINE_EPSILON.html">PETSC_SQRT_MACHINE_EPSILON</a> - the square root of the machine epsilon for the precision of `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>`</font>
<a name="line860">860: </a><font color="#B22222"> Level: beginner</font>
<a name="line862">862: </a><font color="#B22222"> Note:</font>
<a name="line863">863: </a><font color="#B22222"> See `<a href="../manualpages/Sys/PETSC_MACHINE_EPSILON.html">PETSC_MACHINE_EPSILON</a>`</font>
<a name="line865">865: </a><font color="#B22222">.seealso `<a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a>`, `<a href="../manualpages/Sys/PETSC_MIN_REAL.html">PETSC_MIN_REAL</a>`, `<a href="../manualpages/Sys/PETSC_REAL_MIN.html">PETSC_REAL_MIN</a>`, `<a href="../manualpages/Sys/PETSC_MACHINE_EPSILON.html">PETSC_MACHINE_EPSILON</a>`, `<a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a>`</font>
<a name="line866">866: </a><font color="#B22222">M*/</font>
<a name="line868">868: </a><font color="#B22222">/*MC</font>
<a name="line869">869: </a><font color="#B22222"> <a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a> - an arbitrary "small" number which depends on the precision of `<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>` used in some PETSc examples</font>
<a name="line870">870: </a><font color="#B22222"> and in `<a href="../manualpages/Sys/PetscApproximateLTE.html">PetscApproximateLTE</a>()` and `<a href="../manualpages/Sys/PetscApproximateGTE.html">PetscApproximateGTE</a>()` to determine if a computation was successful.</font>
<a name="line872">872: </a><font color="#B22222"> Level: beginner</font>
<a name="line874">874: </a><font color="#B22222"> Note:</font>
<a name="line875">875: </a><font color="#B22222"> See `<a href="../manualpages/Sys/PETSC_MACHINE_EPSILON.html">PETSC_MACHINE_EPSILON</a>`</font>
<a name="line877">877: </a><font color="#B22222">.seealso `<a href="../manualpages/Sys/PetscApproximateLTE.html">PetscApproximateLTE</a>()`, `<a href="../manualpages/Sys/PetscApproximateGTE.html">PetscApproximateGTE</a>()`, `<a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a>`, `<a href="../manualpages/Sys/PETSC_MIN_REAL.html">PETSC_MIN_REAL</a>`, `<a href="../manualpages/Sys/PETSC_REAL_MIN.html">PETSC_REAL_MIN</a>`, `<a href="../manualpages/Sys/PETSC_MACHINE_EPSILON.html">PETSC_MACHINE_EPSILON</a>`,</font>
<a name="line878">878: </a><font color="#B22222"> `<a href="../manualpages/Sys/PETSC_SQRT_MACHINE_EPSILON.html">PETSC_SQRT_MACHINE_EPSILON</a>`</font>
<a name="line879">879: </a><font color="#B22222">M*/</font>
<a name="line881">881: </a><font color="#A020F0">#if defined(PETSC_USE_REAL_SINGLE)</font>
<a name="line882">882: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a> 3.40282346638528860e+38F</font></strong>
<a name="line883">883: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_MIN_REAL.html">PETSC_MIN_REAL</a> (-<a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a>)</font></strong>
<a name="line884">884: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_REAL_MIN.html">PETSC_REAL_MIN</a> 1.1754944e-38F</font></strong>
<a name="line885">885: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_MACHINE_EPSILON.html">PETSC_MACHINE_EPSILON</a> 1.19209290e-07F</font></strong>
<a name="line886">886: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_SQRT_MACHINE_EPSILON.html">PETSC_SQRT_MACHINE_EPSILON</a> 3.45266983e-04F</font></strong>
<a name="line887">887: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a> 1.e-5F</font></strong>
<a name="line888">888: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL_DOUBLE)</font>
<a name="line889">889: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a> 1.7976931348623157e+308</font></strong>
<a name="line890">890: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_MIN_REAL.html">PETSC_MIN_REAL</a> (-<a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a>)</font></strong>
<a name="line891">891: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_REAL_MIN.html">PETSC_REAL_MIN</a> 2.225073858507201e-308</font></strong>
<a name="line892">892: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_MACHINE_EPSILON.html">PETSC_MACHINE_EPSILON</a> 2.2204460492503131e-16</font></strong>
<a name="line893">893: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_SQRT_MACHINE_EPSILON.html">PETSC_SQRT_MACHINE_EPSILON</a> 1.490116119384766e-08</font></strong>
<a name="line894">894: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a> 1.e-10</font></strong>
<a name="line895">895: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL___FLOAT128)</font>
<a name="line896">896: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a> FLT128_MAX</font></strong>
<a name="line897">897: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_MIN_REAL.html">PETSC_MIN_REAL</a> (-FLT128_MAX)</font></strong>
<a name="line898">898: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_REAL_MIN.html">PETSC_REAL_MIN</a> FLT128_MIN</font></strong>
<a name="line899">899: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_MACHINE_EPSILON.html">PETSC_MACHINE_EPSILON</a> FLT128_EPSILON</font></strong>
<a name="line900">900: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_SQRT_MACHINE_EPSILON.html">PETSC_SQRT_MACHINE_EPSILON</a> 1.38777878078144567552953958511352539e-17Q</font></strong>
<a name="line901">901: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a> 1.e-20Q</font></strong>
<a name="line902">902: </a><font color="#A020F0">#elif defined(PETSC_USE_REAL___FP16)</font>
<a name="line903">903: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a> 65504.0F</font></strong>
<a name="line904">904: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_MIN_REAL.html">PETSC_MIN_REAL</a> (-<a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a>)</font></strong>
<a name="line905">905: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_REAL_MIN.html">PETSC_REAL_MIN</a> .00006103515625F</font></strong>
<a name="line906">906: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_MACHINE_EPSILON.html">PETSC_MACHINE_EPSILON</a> .0009765625F</font></strong>
<a name="line907">907: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_SQRT_MACHINE_EPSILON.html">PETSC_SQRT_MACHINE_EPSILON</a> .03125F</font></strong>
<a name="line908">908: </a><strong><font color="#228B22"> #define <a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a> 5.e-3F</font></strong>
<a name="line909">909: </a><font color="#A020F0">#endif</font>
<a name="line911">911: </a><font color="#B22222">/*MC</font>
<a name="line912">912: </a><font color="#B22222"> <a href="../manualpages/Sys/PETSC_INFINITY.html">PETSC_INFINITY</a> - a finite number that represents infinity for setting certain bounds in `<a href="../manualpages/Tao/Tao.html">Tao</a>`</font>
<a name="line914">914: </a><font color="#B22222"> Level: intermediate</font>
<a name="line916">916: </a><font color="#B22222"> Note:</font>
<a name="line917">917: </a><font color="#B22222"> This is not the IEEE infinity value</font>
<a name="line919">919: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PETSC_NINFINITY.html">PETSC_NINFINITY</a>`, `<a href="../manualpages/SNES/SNESVIGetVariableBounds.html">SNESVIGetVariableBounds</a>()`, `<a href="../manualpages/SNES/SNESVISetComputeVariableBounds.html">SNESVISetComputeVariableBounds</a>()`, `<a href="../manualpages/SNES/SNESVISetVariableBounds.html">SNESVISetVariableBounds</a>()`</font>
<a name="line920">920: </a><font color="#B22222">M*/</font>
<a name="line921">921: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PETSC_INFINITY.html">PETSC_INFINITY</a> (<a href="../manualpages/Sys/PETSC_MAX_REAL.html">PETSC_MAX_REAL</a> / 4)</font></strong>
<a name="line923">923: </a><font color="#B22222">/*MC</font>
<a name="line924">924: </a><font color="#B22222"> <a href="../manualpages/Sys/PETSC_NINFINITY.html">PETSC_NINFINITY</a> - a finite number that represents negative infinity for setting certain bounds in `<a href="../manualpages/Tao/Tao.html">Tao</a>`</font>
<a name="line926">926: </a><font color="#B22222"> Level: intermediate</font>
<a name="line928">928: </a><font color="#B22222"> Note:</font>
<a name="line929">929: </a><font color="#B22222"> This is not the negative IEEE infinity value</font>
<a name="line931">931: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PETSC_INFINITY.html">PETSC_INFINITY</a>`, `<a href="../manualpages/SNES/SNESVIGetVariableBounds.html">SNESVIGetVariableBounds</a>()`, `<a href="../manualpages/SNES/SNESVISetComputeVariableBounds.html">SNESVISetComputeVariableBounds</a>()`, `<a href="../manualpages/SNES/SNESVISetVariableBounds.html">SNESVISetVariableBounds</a>()`</font>
<a name="line932">932: </a><font color="#B22222">M*/</font>
<a name="line933">933: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PETSC_NINFINITY.html">PETSC_NINFINITY</a> (-<a href="../manualpages/Sys/PETSC_INFINITY.html">PETSC_INFINITY</a>)</font></strong>
<a name="line935">935: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> <a href="../manualpages/Sys/PetscIsInfReal.html">PetscIsInfReal</a>(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)</font></strong>;
<a name="line936">936: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> <a href="../manualpages/Sys/PetscIsNanReal.html">PetscIsNanReal</a>(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)</font></strong>;
<a name="line937">937: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> <a href="../manualpages/Sys/PetscIsNormalReal.html">PetscIsNormalReal</a>(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)</font></strong>;
<a name="line938">938: </a><strong><font color="#4169E1"><a name="PetscIsInfOrNanReal"></a>static inline <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> PetscIsInfOrNanReal(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a> v)</font></strong>
<a name="line939">939: </a>{
<a name="line940">940: </a> <font color="#4169E1">return</font> <a href="../manualpages/Sys/PetscIsInfReal.html">PetscIsInfReal</a>(v) || <a href="../manualpages/Sys/PetscIsNanReal.html">PetscIsNanReal</a>(v) ? <a href="../manualpages/Sys/PETSC_TRUE.html">PETSC_TRUE</a> : <a href="../manualpages/Sys/PETSC_FALSE.html">PETSC_FALSE</a>;
<a name="line941">941: </a>}
<a name="line942">942: </a><strong><font color="#4169E1"><a name="PetscIsInfScalar"></a>static inline <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> PetscIsInfScalar(<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> v)</font></strong>
<a name="line943">943: </a>{
<a name="line944">944: </a> <font color="#4169E1">return</font> <a href="../manualpages/Sys/PetscIsInfReal.html">PetscIsInfReal</a>(PetscAbsScalar(v));
<a name="line945">945: </a>}
<a name="line946">946: </a><strong><font color="#4169E1"><a name="PetscIsNanScalar"></a>static inline <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> PetscIsNanScalar(<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> v)</font></strong>
<a name="line947">947: </a>{
<a name="line948">948: </a> <font color="#4169E1">return</font> <a href="../manualpages/Sys/PetscIsNanReal.html">PetscIsNanReal</a>(PetscAbsScalar(v));
<a name="line949">949: </a>}
<a name="line950">950: </a><strong><font color="#4169E1"><a name="PetscIsInfOrNanScalar"></a>static inline <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> PetscIsInfOrNanScalar(<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> v)</font></strong>
<a name="line951">951: </a>{
<a name="line952">952: </a> <font color="#4169E1">return</font> PetscIsInfOrNanReal(PetscAbsScalar(v));
<a name="line953">953: </a>}
<a name="line954">954: </a><strong><font color="#4169E1"><a name="PetscIsNormalScalar"></a>static inline <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> PetscIsNormalScalar(<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> v)</font></strong>
<a name="line955">955: </a>{
<a name="line956">956: </a> <font color="#4169E1">return</font> <a href="../manualpages/Sys/PetscIsNormalReal.html">PetscIsNormalReal</a>(PetscAbsScalar(v));
<a name="line957">957: </a>}
<a name="line959">959: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> <a href="../manualpages/Sys/PetscIsCloseAtTol.html">PetscIsCloseAtTol</a>(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)</font></strong>;
<a name="line960">960: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> <a href="../manualpages/Sys/PetscEqualReal.html">PetscEqualReal</a>(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)</font></strong>;
<a name="line961">961: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> <a href="../manualpages/Sys/PetscEqualScalar.html">PetscEqualScalar</a>(<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>, <a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>)</font></strong>;
<a name="line963">963: </a><font color="#B22222">/*@C</font>
<a name="line964">964: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscIsCloseAtTolScalar.html">PetscIsCloseAtTolScalar</a> - Like `<a href="../manualpages/Sys/PetscIsCloseAtTol.html">PetscIsCloseAtTol</a>()` but for `<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>`</font>
<a name="line966">966: </a><font color="#B22222"> Input Parameters:</font>
<a name="line967">967: </a><font color="#B22222">+ lhs - The first number</font>
<a name="line968">968: </a><font color="#B22222">. rhs - The second number</font>
<a name="line969">969: </a><font color="#B22222">. rtol - The relative tolerance</font>
<a name="line970">970: </a><font color="#B22222">- atol - The absolute tolerance</font>
<a name="line972">972: </a><font color="#B22222"> Level: beginner</font>
<a name="line974">974: </a><font color="#B22222"> Note:</font>
<a name="line975">975: </a><font color="#B22222"> This routine is equivalent to `<a href="../manualpages/Sys/PetscIsCloseAtTol.html">PetscIsCloseAtTol</a>()` when PETSc is configured without complex</font>
<a name="line976">976: </a><font color="#B22222"> numbers.</font>
<a name="line978">978: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscIsCloseAtTol.html">PetscIsCloseAtTol</a>()`</font>
<a name="line979">979: </a><font color="#B22222">@*/</font>
<a name="line980">980: </a><strong><font color="#4169E1"><a name="PetscIsCloseAtTolScalar"></a>static inline <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> <a href="../manualpages/Sys/PetscIsCloseAtTolScalar.html">PetscIsCloseAtTolScalar</a>(<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> lhs, <a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> rhs, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> rtol, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> atol)</font></strong>
<a name="line981">981: </a>{
<a name="line982">982: </a> <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> close = <a href="../manualpages/Sys/PetscIsCloseAtTol.html">PetscIsCloseAtTol</a>(<a href="../manualpages/Sys/PetscRealPart.html">PetscRealPart</a>(lhs), <a href="../manualpages/Sys/PetscRealPart.html">PetscRealPart</a>(rhs), rtol, atol);
<a name="line984">984: </a> <font color="#4169E1">if</font> (<a href="../manualpages/Sys/PetscDefined.html">PetscDefined</a>(USE_COMPLEX)) close = (<a href="../manualpages/Sys/PetscBool.html">PetscBool</a>)(close && <a href="../manualpages/Sys/PetscIsCloseAtTol.html">PetscIsCloseAtTol</a>(<a href="../manualpages/Sys/PetscImaginaryPart.html">PetscImaginaryPart</a>(lhs), <a href="../manualpages/Sys/PetscImaginaryPart.html">PetscImaginaryPart</a>(rhs), rtol, atol));
<a name="line985">985: </a> <font color="#4169E1">return</font> close;
<a name="line986">986: </a>}
<a name="line988">988: </a><font color="#B22222">/*</font>
<a name="line989">989: </a><font color="#B22222"> These macros are currently hardwired to match the regular data types, so there is no support for a different</font>
<a name="line990">990: </a><font color="#B22222"> MatScalar from <a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a>. We left the MatScalar in the source just in case we use it again.</font>
<a name="line991">991: </a><font color="#B22222"> */</font>
<a name="line992">992: </a><strong><font color="#228B22">#define MPIU_MATSCALAR <a href="../manualpages/Sys/MPIU_SCALAR.html">MPIU_SCALAR</a></font></strong>
<a name="line993">993: </a><font color="#4169E1">typedef <a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> MatScalar;</font>
<a name="line994">994: </a><font color="#4169E1">typedef <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> MatReal;</font>
<a name="line996">996: </a><font color="#4169E1"><a name="petsc_mpiu_2scalar"></a>struct petsc_mpiu_2scalar </font>{
<a name="line997">997: </a> <a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> a, b;
<a name="line998">998: </a>};
<a name="line999">999: </a><strong><font color="#4169E1">PETSC_EXTERN MPI_Datatype MPIU_2SCALAR PETSC_ATTRIBUTE_MPI_TYPE_TAG_LAYOUT_COMPATIBLE(struct petsc_mpiu_2scalar)</font></strong>;
<a name="line1001">1001: </a><font color="#B22222">/* MPI Datatypes for composite reductions */</font>
<a name="line1002">1002: </a><font color="#4169E1"><a name="petsc_mpiu_real_int"></a>struct petsc_mpiu_real_int </font>{
<a name="line1003">1003: </a> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> v;
<a name="line1004">1004: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> i;
<a name="line1005">1005: </a>};
<a name="line1007">1007: </a><font color="#4169E1"><a name="petsc_mpiu_scalar_int"></a>struct petsc_mpiu_scalar_int </font>{
<a name="line1008">1008: </a> <a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> v;
<a name="line1009">1009: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> i;
<a name="line1010">1010: </a>};
<a name="line1012">1012: </a><strong><font color="#4169E1">PETSC_EXTERN MPI_Datatype MPIU_REAL_INT PETSC_ATTRIBUTE_MPI_TYPE_TAG_LAYOUT_COMPATIBLE(struct petsc_mpiu_real_int)</font></strong>;
<a name="line1013">1013: </a><strong><font color="#4169E1">PETSC_EXTERN MPI_Datatype MPIU_SCALAR_INT PETSC_ATTRIBUTE_MPI_TYPE_TAG_LAYOUT_COMPATIBLE(struct petsc_mpiu_scalar_int)</font></strong>;
<a name="line1015">1015: </a><font color="#A020F0">#if defined(PETSC_USE_64BIT_INDICES)</font>
<a name="line1016">1016: </a><font color="#4169E1">struct</font> <font color="#B22222">/* __attribute__((packed, aligned(alignof(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *)))) */</font> petsc_mpiu_2int {
<a name="line1017">1017: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> a;
<a name="line1018">1018: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> b;
<a name="line1019">1019: </a>};
<a name="line1020">1020: </a><strong><font color="#4169E1"><a name="__attribute__"></a>struct __attribute__((packed))</font></strong> petsc_mpiu_int_mpiint {
<a name="line1021">1021: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> a;
<a name="line1022">1022: </a> <a href="../manualpages/Sys/PetscMPIInt.html">PetscMPIInt</a> b;
<a name="line1023">1023: </a>};
<a name="line1024">1024: </a><font color="#B22222">/*</font>
<a name="line1025">1025: </a><font color="#B22222"> static_assert(sizeof(struct petsc_mpiu_2int) == 2 * sizeof(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>), "");</font>
<a name="line1026">1026: </a><font color="#B22222"> static_assert(alignof(struct petsc_mpiu_2int) == alignof(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *), "");</font>
<a name="line1027">1027: </a><font color="#B22222"> static_assert(alignof(struct petsc_mpiu_2int) == alignof(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>[2]), "");</font>
<a name="line1029">1029: </a><font color="#B22222"> clang generates warnings that petsc_mpiu_2int is not layout compatible with <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>[2] or</font>
<a name="line1030">1030: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *, even though (with everything else uncommented) both of the static_asserts above</font>
<a name="line1031">1031: </a><font color="#B22222"> pass! So we just comment it out...</font>
<a name="line1032">1032: </a><font color="#B22222">*/</font>
<a name="line1033">1033: </a>PETSC_EXTERN MPI_Datatype MPIU_2INT <font color="#B22222">/* PETSC_ATTRIBUTE_MPI_TYPE_TAG_LAYOUT_COMPATIBLE(struct petsc_mpiu_2int) */</font>;
<a name="line1034">1034: </a>PETSC_EXTERN MPI_Datatype MPIU_INT_MPIINT <font color="#B22222">/* PETSC_ATTRIBUTE_MPI_TYPE_TAG_LAYOUT_COMPATIBLE(struct petsc_mpiu_int_mpiint) */</font>;
<a name="line1035">1035: </a><font color="#A020F0">#else</font>
<a name="line1036">1036: </a><strong><font color="#228B22"> #define MPIU_2INT MPI_2INT</font></strong>
<a name="line1037">1037: </a><strong><font color="#228B22"> #define MPIU_INT_MPIINT MPI_2INT</font></strong>
<a name="line1038">1038: </a><font color="#A020F0">#endif</font>
<a name="line1039">1039: </a>PETSC_EXTERN MPI_Datatype MPI_4INT;
<a name="line1040">1040: </a>PETSC_EXTERN MPI_Datatype MPIU_4INT;
<a name="line1042">1042: </a><strong><font color="#4169E1"><a name="PetscPowInt"></a>static inline <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> PetscPowInt(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> base, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> power)</font></strong>
<a name="line1043">1043: </a>{
<a name="line1044">1044: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> result = 1;
<a name="line1045">1045: </a> <font color="#4169E1">while</font> (power) {
<a name="line1046">1046: </a> <font color="#4169E1">if</font> (power & 1) result *= base;
<a name="line1047">1047: </a> power >>= 1;
<a name="line1048">1048: </a> <font color="#4169E1">if</font> (power) base *= base;
<a name="line1049">1049: </a> }
<a name="line1050">1050: </a> <font color="#4169E1">return</font> result;
<a name="line1051">1051: </a>}
<a name="line1053">1053: </a><strong><font color="#4169E1"><a name="PetscPowInt64"></a>static inline PetscInt64 PetscPowInt64(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> base, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> power)</font></strong>
<a name="line1054">1054: </a>{
<a name="line1055">1055: </a> PetscInt64 result = 1;
<a name="line1056">1056: </a> <font color="#4169E1">while</font> (power) {
<a name="line1057">1057: </a> <font color="#4169E1">if</font> (power & 1) result *= base;
<a name="line1058">1058: </a> power >>= 1;
<a name="line1059">1059: </a> <font color="#4169E1">if</font> (power) base *= base;
<a name="line1060">1060: </a> }
<a name="line1061">1061: </a> <font color="#4169E1">return</font> result;
<a name="line1062">1062: </a>}
<a name="line1064">1064: </a><strong><font color="#4169E1"><a name="PetscPowRealInt"></a>static inline <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> PetscPowRealInt(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a> base, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> power)</font></strong>
<a name="line1065">1065: </a>{
<a name="line1066">1066: </a> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> result = 1;
<a name="line1067">1067: </a> <font color="#4169E1">if</font> (power < 0) {
<a name="line1068">1068: </a> power = -power;
<a name="line1069">1069: </a> base = ((<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)1) / base;
<a name="line1070">1070: </a> }
<a name="line1071">1071: </a> <font color="#4169E1">while</font> (power) {
<a name="line1072">1072: </a> <font color="#4169E1">if</font> (power & 1) result *= base;
<a name="line1073">1073: </a> power >>= 1;
<a name="line1074">1074: </a> <font color="#4169E1">if</font> (power) base *= base;
<a name="line1075">1075: </a> }
<a name="line1076">1076: </a> <font color="#4169E1">return</font> result;
<a name="line1077">1077: </a>}
<a name="line1079">1079: </a><strong><font color="#4169E1"><a name="PetscPowScalarInt"></a>static inline <a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> PetscPowScalarInt(<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> base, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> power)</font></strong>
<a name="line1080">1080: </a>{
<a name="line1081">1081: </a> <a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> result = (<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)1;
<a name="line1082">1082: </a> <font color="#4169E1">if</font> (power < 0) {
<a name="line1083">1083: </a> power = -power;
<a name="line1084">1084: </a> base = ((<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)1) / base;
<a name="line1085">1085: </a> }
<a name="line1086">1086: </a> <font color="#4169E1">while</font> (power) {
<a name="line1087">1087: </a> <font color="#4169E1">if</font> (power & 1) result *= base;
<a name="line1088">1088: </a> power >>= 1;
<a name="line1089">1089: </a> <font color="#4169E1">if</font> (power) base *= base;
<a name="line1090">1090: </a> }
<a name="line1091">1091: </a> <font color="#4169E1">return</font> result;
<a name="line1092">1092: </a>}
<a name="line1094">1094: </a><strong><font color="#4169E1"><a name="PetscPowScalarReal"></a>static inline <a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> PetscPowScalarReal(<a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> base, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> power)</font></strong>
<a name="line1095">1095: </a>{
<a name="line1096">1096: </a> <a href="../manualpages/Sys/PetscScalar.html">PetscScalar</a> cpower = power;
<a name="line1097">1097: </a> <font color="#4169E1">return</font> PetscPowScalar(base, cpower);
<a name="line1098">1098: </a>}
<a name="line1100">1100: </a><font color="#B22222">/*MC</font>
<a name="line1101">1101: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscApproximateLTE.html">PetscApproximateLTE</a> - Performs a less than or equal to on a given constant with a fudge for floating point numbers</font>
<a name="line1103">1103: </a><font color="#B22222"> Synopsis:</font>
<a name="line1104">1104: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line1105">1105: </a><font color="#B22222"> bool <a href="../manualpages/Sys/PetscApproximateLTE.html">PetscApproximateLTE</a>(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a> x,constant float)</font>
<a name="line1107">1107: </a><font color="#B22222"> Not Collective</font>
<a name="line1109">1109: </a><font color="#B22222"> Input Parameters:</font>
<a name="line1110">1110: </a><font color="#B22222">+ x - the variable</font>
<a name="line1111">1111: </a><font color="#B22222">- b - the constant float it is checking if `x` is less than or equal to</font>
<a name="line1113">1113: </a><font color="#B22222"> Level: advanced</font>
<a name="line1115">1115: </a><font color="#B22222"> Notes:</font>
<a name="line1116">1116: </a><font color="#B22222"> The fudge factor is the value `<a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a>`</font>
<a name="line1118">1118: </a><font color="#B22222"> The constant numerical value is automatically set to the appropriate precision of PETSc so can just be provided as, for example, 3.2</font>
<a name="line1120">1120: </a><font color="#B22222"> This is used in several examples for setting initial conditions based on coordinate values that are computed with i*h that produces inexact</font>
<a name="line1121">1121: </a><font color="#B22222"> floating point results.</font>
<a name="line1123">1123: </a><font color="#B22222"> Example\:</font>
<a name="line1124">1124: </a><font color="#B22222">.vb</font>
<a name="line1125">1125: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> x;</font>
<a name="line1126">1126: </a><font color="#B22222"> if (<a href="../manualpages/Sys/PetscApproximateLTE.html">PetscApproximateLTE</a>(x, 3.2)) { // replaces if (x <= 3.2) {</font>
<a name="line1127">1127: </a><font color="#B22222">.ve</font>
<a name="line1129">1129: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscMax.html">PetscMax</a>()`, `<a href="../manualpages/Sys/PetscMin.html">PetscMin</a>()`, `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`, `<a href="../manualpages/Sys/PetscApproximateGTE.html">PetscApproximateGTE</a>()`</font>
<a name="line1130">1130: </a><font color="#B22222">M*/</font>
<a name="line1131">1131: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PetscApproximateLTE.html">PetscApproximateLTE</a>(x, b) ((x) <= (<a href="../manualpages/Sys/PetscRealConstant.html">PetscRealConstant</a>(b) + <a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a>))</font></strong>
<a name="line1133">1133: </a><font color="#B22222">/*MC</font>
<a name="line1134">1134: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscApproximateGTE.html">PetscApproximateGTE</a> - Performs a greater than or equal to on a given constant with a fudge for floating point numbers</font>
<a name="line1136">1136: </a><font color="#B22222"> Synopsis:</font>
<a name="line1137">1137: </a>#include <A href="../include/petscmath.h.html"><petscmath.h></A>
<a name="line1138">1138: </a><font color="#B22222"> bool <a href="../manualpages/Sys/PetscApproximateGTE.html">PetscApproximateGTE</a>(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a> x,constant float)</font>
<a name="line1140">1140: </a><font color="#B22222"> Not Collective</font>
<a name="line1142">1142: </a><font color="#B22222"> Input Parameters:</font>
<a name="line1143">1143: </a><font color="#B22222">+ x - the variable</font>
<a name="line1144">1144: </a><font color="#B22222">- b - the constant float it is checking if `x` is greater than or equal to</font>
<a name="line1146">1146: </a><font color="#B22222"> Level: advanced</font>
<a name="line1148">1148: </a><font color="#B22222"> Notes:</font>
<a name="line1149">1149: </a><font color="#B22222"> The fudge factor is the value `<a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a>`</font>
<a name="line1151">1151: </a><font color="#B22222"> The constant numerical value is automatically set to the appropriate precision of PETSc so can just be provided as, for example, 3.2</font>
<a name="line1153">1153: </a><font color="#B22222"> This is used in several examples for setting initial conditions based on coordinate values that are computed with i*h that produces inexact</font>
<a name="line1154">1154: </a><font color="#B22222"> floating point results.</font>
<a name="line1156">1156: </a><font color="#B22222"> Example\:</font>
<a name="line1157">1157: </a><font color="#B22222">.vb</font>
<a name="line1158">1158: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> x;</font>
<a name="line1159">1159: </a><font color="#B22222"> if (<a href="../manualpages/Sys/PetscApproximateGTE.html">PetscApproximateGTE</a>(x, 3.2)) { // replaces if (x >= 3.2) {</font>
<a name="line1160">1160: </a><font color="#B22222">.ve</font>
<a name="line1162">1162: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscMax.html">PetscMax</a>()`, `<a href="../manualpages/Sys/PetscMin.html">PetscMin</a>()`, `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`, `<a href="../manualpages/Sys/PetscApproximateLTE.html">PetscApproximateLTE</a>()`</font>
<a name="line1163">1163: </a><font color="#B22222">M*/</font>
<a name="line1164">1164: </a><strong><font color="#228B22">#define <a href="../manualpages/Sys/PetscApproximateGTE.html">PetscApproximateGTE</a>(x, b) ((x) >= (<a href="../manualpages/Sys/PetscRealConstant.html">PetscRealConstant</a>(b) - <a href="../manualpages/Sys/PETSC_SMALL.html">PETSC_SMALL</a>))</font></strong>
<a name="line1166">1166: </a><font color="#B22222">/*@C</font>
<a name="line1167">1167: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscCeilInt.html">PetscCeilInt</a> - Returns the ceiling of the quotation of two positive integers</font>
<a name="line1169">1169: </a><font color="#B22222"> Not Collective</font>
<a name="line1171">1171: </a><font color="#B22222"> Input Parameters:</font>
<a name="line1172">1172: </a><font color="#B22222">+ x - the numerator</font>
<a name="line1173">1173: </a><font color="#B22222">- y - the denominator</font>
<a name="line1175">1175: </a><font color="#B22222"> Level: advanced</font>
<a name="line1177">1177: </a><font color="#B22222"> Example\:</font>
<a name="line1178">1178: </a><font color="#B22222">.vb</font>
<a name="line1179">1179: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> n = <a href="../manualpages/Sys/PetscCeilInt.html">PetscCeilInt</a>(10, 3); // n has the value of 4</font>
<a name="line1180">1180: </a><font color="#B22222">.ve</font>
<a name="line1182">1182: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscCeilInt64.html">PetscCeilInt64</a>()`, `<a href="../manualpages/Sys/PetscMax.html">PetscMax</a>()`, `<a href="../manualpages/Sys/PetscMin.html">PetscMin</a>()`, `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`, `<a href="../manualpages/Sys/PetscApproximateLTE.html">PetscApproximateLTE</a>()`</font>
<a name="line1183">1183: </a><font color="#B22222">@*/</font>
<a name="line1184">1184: </a><strong><font color="#4169E1"><a name="PetscCeilInt"></a>static inline <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> <a href="../manualpages/Sys/PetscCeilInt.html">PetscCeilInt</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> x, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> y)</font></strong>
<a name="line1185">1185: </a>{
<a name="line1186">1186: </a> <font color="#4169E1">return</font> x / y + (x % y ? 1 : 0);
<a name="line1187">1187: </a>}
<a name="line1189">1189: </a><font color="#B22222">/*@C</font>
<a name="line1190">1190: </a><font color="#B22222"> <a href="../manualpages/Sys/PetscCeilInt64.html">PetscCeilInt64</a> - Returns the ceiling of the quotation of two positive integers</font>
<a name="line1192">1192: </a><font color="#B22222"> Not Collective</font>
<a name="line1194">1194: </a><font color="#B22222"> Input Parameters:</font>
<a name="line1195">1195: </a><font color="#B22222">+ x - the numerator</font>
<a name="line1196">1196: </a><font color="#B22222">- y - the denominator</font>
<a name="line1198">1198: </a><font color="#B22222"> Level: advanced</font>
<a name="line1200">1200: </a><font color="#B22222"> Example\:</font>
<a name="line1201">1201: </a><font color="#B22222">.vb</font>
<a name="line1202">1202: </a><font color="#B22222"> PetscInt64 n = <a href="../manualpages/Sys/PetscCeilInt64.html">PetscCeilInt64</a>(10, 3); // n has the value of 4</font>
<a name="line1203">1203: </a><font color="#B22222">.ve</font>
<a name="line1205">1205: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/PetscCeilInt.html">PetscCeilInt</a>()`, `<a href="../manualpages/Sys/PetscMax.html">PetscMax</a>()`, `<a href="../manualpages/Sys/PetscMin.html">PetscMin</a>()`, `<a href="../manualpages/Sys/PetscAbsInt.html">PetscAbsInt</a>()`, `<a href="../manualpages/Sys/PetscAbsReal.html">PetscAbsReal</a>()`, `<a href="../manualpages/Sys/PetscApproximateLTE.html">PetscApproximateLTE</a>()`</font>
<a name="line1206">1206: </a><font color="#B22222">@*/</font>
<a name="line1207">1207: </a><strong><font color="#4169E1"><a name="PetscCeilInt64"></a>static inline PetscInt64 <a href="../manualpages/Sys/PetscCeilInt64.html">PetscCeilInt64</a>(PetscInt64 x, PetscInt64 y)</font></strong>
<a name="line1208">1208: </a>{
<a name="line1209">1209: </a> <font color="#4169E1">return</font> x / y + (x % y ? 1 : 0);
<a name="line1210">1210: </a>}
<a name="line1212">1212: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/Sys/PetscLinearRegression.html">PetscLinearRegression</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
</pre>
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